TSTP Solution File: SWW335+1 by CSE---1.7
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%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : SWW335+1 : TPTP v8.2.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% Computer : n015.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 18:07:44 EDT 2024
% Result : Theorem 163.96s 163.63s
% Output : CNFRefutation 164.14s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SWW335+1 : TPTP v8.2.0. Released v5.2.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.12/0.34 % Computer : n015.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Wed Jun 19 08:39:24 EDT 2024
% 0.12/0.34 % CPUTime :
% 0.55/0.59 start to proof:theBenchmark
% 163.46/163.46 %-------------------------------------------
% 163.46/163.46 % File :CSE---1.7
% 163.46/163.46 % Problem :theBenchmark
% 163.46/163.46 % Transform :cnf
% 163.46/163.46 % Format :tptp:raw
% 163.46/163.46 % Command :java -jar mcs_scs.jar %d %s
% 163.46/163.46
% 163.46/163.46 % Result :Theorem 147.260000s
% 163.46/163.46 % Output :CNFRefutation 147.260000s
% 163.46/163.46 %-------------------------------------------
% 163.46/163.47 %------------------------------------------------------------------------------
% 163.46/163.47 % File : SWW335+1 : TPTP v8.2.0. Released v5.2.0.
% 163.46/163.47 % Domain : Software Verification
% 163.46/163.47 % Problem : Hoare's Logic with Procedures 435171, 5000 axioms selected
% 163.46/163.47 % Version : Especial.
% 163.46/163.47 % English :
% 163.46/163.47
% 163.46/163.47 % Refs : [BN10] Boehme & Nipkow (2010), Sledgehammer: Judgement Day
% 163.46/163.47 % : [Bla11] Blanchette (2011), Email to Geoff Sutcliffe
% 163.46/163.47 % Source : [Bla11]
% 163.46/163.47 % Names : hoare_435171.5000.p [Bla11]
% 163.46/163.47
% 163.46/163.47 % Status : ContradictoryAxioms
% 163.46/163.47 % Rating : 0.86 v8.2.0, 0.81 v7.4.0, 0.90 v7.3.0, 0.86 v7.1.0, 0.83 v7.0.0, 0.90 v6.4.0, 0.85 v6.3.0, 0.83 v6.2.0, 0.92 v6.1.0, 0.93 v6.0.0, 0.91 v5.5.0, 0.96 v5.3.0, 1.00 v5.2.0
% 163.46/163.47 % Syntax : Number of formulae : 5224 (1637 unt; 0 def)
% 163.46/163.47 % Number of atoms : 12813 (4423 equ)
% 163.46/163.47 % Maximal formula atoms : 13 ( 2 avg)
% 163.46/163.47 % Number of connectives : 8598 (1009 ~; 152 |; 734 &)
% 163.46/163.47 % ( 906 <=>;5797 =>; 0 <=; 0 <~>)
% 163.46/163.47 % Maximal formula depth : 22 ( 6 avg)
% 163.46/163.47 % Maximal term depth : 19 ( 2 avg)
% 163.46/163.47 % Number of predicates : 149 ( 148 usr; 0 prp; 1-6 aty)
% 163.46/163.47 % Number of functors : 372 ( 372 usr; 46 con; 0-7 aty)
% 163.46/163.47 % Number of variables : 16571 (16421 !; 150 ?)
% 163.46/163.47 % SPC : FOF_CAX_RFO_SEQ
% 163.46/163.47
% 163.46/163.47 % Comments : This file was generated by Isabelle (most likely Sledgehammer)
% 163.46/163.47 % 2011-03-01 12:06:45
% 163.46/163.47 %------------------------------------------------------------------------------
% 163.46/163.47 %----Relevant facts (4983)
% 163.46/163.47 fof(fact_ext,axiom,
% 163.46/163.47 ! [V_g_2,V_f_2] :
% 163.46/163.47 ( ! [B_x] : hAPP(V_f_2,B_x) = hAPP(V_g_2,B_x)
% 163.46/163.47 => V_f_2 = V_g_2 ) ).
% 163.46/163.47
% 163.46/163.47 fof(fact_bot__fun__def,axiom,
% 163.46/163.47 ! [V_x_2,T_c,T_b] :
% 163.46/163.47 ( class_Orderings_Obot(T_b)
% 163.46/163.47 => hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_c,T_b)),V_x_2) = c_Orderings_Obot__class_Obot(T_b) ) ).
% 163.46/163.47
% 163.46/163.47 fof(fact_bot__apply,axiom,
% 163.46/163.47 ! [V_x_2,T_c,T_b] :
% 163.46/163.47 ( class_Orderings_Obot(T_b)
% 163.46/163.47 => hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_c,T_b)),V_x_2) = c_Orderings_Obot__class_Obot(T_b) ) ).
% 163.46/163.47
% 163.46/163.47 fof(fact_Sup__empty,axiom,
% 163.46/163.47 ! [T_b] :
% 163.46/163.47 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 163.46/163.47 => 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) ) ).
% 163.46/163.47
% 163.46/163.47 fof(fact_empty,axiom,
% 163.46/163.47 ! [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))) ).
% 163.46/163.47
% 163.46/163.47 fof(fact_hoare__derivs_Oequations_I1_J,axiom,
% 163.46/163.47 ! [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))) ).
% 163.46/163.47
% 163.46/163.47 fof(fact_override__on__emptyset,axiom,
% 163.46/163.47 ! [V_g_2,V_f_2,T_c,T_b] : c_Fun_Ooverride__on(T_b,T_c,V_f_2,V_g_2,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) = V_f_2 ).
% 163.46/163.47
% 163.46/163.47 fof(fact_peek__and__def,axiom,
% 163.46/163.47 ! [V_s_2,V_Z_2,V_p_2,V_P_2,T_b] :
% 163.46/163.47 ( c_Hoare__Mirabelle_Opeek__and(T_b,V_P_2,V_p_2,V_Z_2,V_s_2)
% 163.46/163.47 <=> ( hBOOL(hAPP(hAPP(V_P_2,V_Z_2),V_s_2))
% 163.46/163.47 & hBOOL(hAPP(V_p_2,V_s_2)) ) ) ).
% 163.46/163.47
% 163.46/163.47 fof(fact_INF__const,axiom,
% 163.46/163.47 ! [V_M_2,T_b,V_A_2,T_c] :
% 163.46/163.47 ( class_Complete__Lattice_Ocomplete__lattice(T_c)
% 163.46/163.47 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.46/163.47 => 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 ) ) ).
% 163.46/163.47
% 163.46/163.47 fof(fact_SUP__const,axiom,
% 163.46/163.47 ! [V_M_2,T_b,V_A_2,T_c] :
% 163.46/163.47 ( class_Complete__Lattice_Ocomplete__lattice(T_c)
% 163.46/163.47 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.46/163.47 => 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 ) ) ).
% 163.46/163.47
% 163.46/163.47 fof(fact_total__on__empty,axiom,
% 163.46/163.47 ! [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) ).
% 163.46/163.47
% 163.46/163.47 fof(fact_fold__graph_H_Oequations_I1_J,axiom,
% 163.46/163.47 ! [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) ).
% 163.46/163.47
% 163.46/163.47 fof(fact_fold__graph_H_Ointros_I1_J,axiom,
% 163.46/163.47 ! [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) ).
% 163.46/163.47
% 163.46/163.47 fof(fact_INF__commute,axiom,
% 163.46/163.47 ! [V_f_2,V_B_2,T_d,V_A_2,T_c,T_b] :
% 163.46/163.47 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 163.46/163.47 => 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))) ) ).
% 163.46/163.47
% 163.46/163.47 fof(fact_SUP__commute,axiom,
% 163.46/163.47 ! [V_f_2,V_B_2,T_d,V_A_2,T_c,T_b] :
% 163.46/163.47 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 163.46/163.47 => 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))) ) ).
% 163.46/163.47
% 163.46/163.47 fof(fact_INFI__apply,axiom,
% 163.46/163.47 ! [V_x_2,V_f_2,V_A_2,T_d,T_c,T_b] :
% 163.46/163.47 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 163.46/163.47 => 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)) ) ).
% 163.46/163.47
% 163.46/163.47 fof(fact_SUPR__apply,axiom,
% 163.46/163.47 ! [V_x_2,V_f_2,V_A_2,T_d,T_c,T_b] :
% 163.46/163.47 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 163.46/163.47 => 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)) ) ).
% 163.46/163.47
% 163.46/163.47 fof(fact_cut,axiom,
% 163.46/163.47 ! [V_Ga_2,V_tsa_2,V_G_H_2,T_b] :
% 163.46/163.47 ( c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_G_H_2,V_tsa_2)
% 163.46/163.47 => ( c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,V_G_H_2)
% 163.46/163.47 => c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,V_tsa_2) ) ) ).
% 163.46/163.47
% 163.46/163.47 fof(fact_Union__empty,axiom,
% 163.46/163.47 ! [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)) ).
% 163.46/163.47
% 163.46/163.47 fof(fact_UNION__empty__conv_I2_J,axiom,
% 163.46/163.47 ! [V_B_2,V_A_2,T_b,T_c] :
% 163.46/163.47 ( 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))
% 163.46/163.47 <=> ! [B_x] :
% 163.46/163.47 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 163.46/163.47 => hAPP(V_B_2,B_x) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ).
% 163.46/163.47
% 163.46/163.47 fof(fact_UN__constant,axiom,
% 163.46/163.47 ! [V_c_2,T_c,T_b,V_A_2] :
% 163.46/163.47 ( ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.46/163.47 => 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)) )
% 163.46/163.47 & ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.46/163.47 => 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 ) ) ).
% 163.46/163.47
% 163.46/163.47 fof(fact_UN__empty2,axiom,
% 163.46/163.47 ! [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)) ).
% 163.46/163.47
% 163.46/163.47 fof(fact_UNION__empty__conv_I1_J,axiom,
% 163.46/163.47 ! [V_B_2,V_A_2,T_c,T_b] :
% 163.46/163.48 ( 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)
% 163.46/163.48 <=> ! [B_x] :
% 163.46/163.48 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 163.46/163.48 => hAPP(V_B_2,B_x) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ).
% 163.46/163.48
% 163.46/163.48 fof(fact_derivs__insertD,axiom,
% 163.46/163.48 ! [V_tsa_2,V_t_2,V_Ga_2,T_b] :
% 163.46/163.48 ( 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))
% 163.46/163.48 => ( 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))))
% 163.46/163.48 & c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,V_tsa_2) ) ) ).
% 163.46/163.48
% 163.46/163.48 fof(fact_hoare__derivs_Oinsert,axiom,
% 163.46/163.48 ! [V_tsa_2,V_t_2,V_Ga_2,T_b] :
% 163.46/163.48 ( 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))))
% 163.46/163.48 => ( c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,V_tsa_2)
% 163.46/163.48 => 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)) ) ) ).
% 163.46/163.48
% 163.46/163.48 fof(fact_Sup__singleton,axiom,
% 163.46/163.48 ! [V_a_2,T_b] :
% 163.46/163.48 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 163.46/163.48 => 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 ) ).
% 163.46/163.48
% 163.46/163.48 fof(fact_override__on__def,axiom,
% 163.46/163.48 ! [V_g_2,V_f_2,T_c,V_A_2,V_a_2,T_b] :
% 163.46/163.48 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 163.46/163.48 => hAPP(c_Fun_Ooverride__on(T_b,T_c,V_f_2,V_g_2,V_A_2),V_a_2) = hAPP(V_g_2,V_a_2) )
% 163.46/163.48 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 163.46/163.48 => hAPP(c_Fun_Ooverride__on(T_b,T_c,V_f_2,V_g_2,V_A_2),V_a_2) = hAPP(V_f_2,V_a_2) ) ) ).
% 163.46/163.48
% 163.46/163.48 fof(fact_Field__empty,axiom,
% 163.46/163.48 ! [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)) ).
% 163.46/163.48
% 163.46/163.48 fof(fact_override__on__apply__notin,axiom,
% 163.46/163.48 ! [V_g_2,V_f_2,T_c,V_A_2,V_a_2,T_b] :
% 163.46/163.48 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 163.46/163.48 => hAPP(c_Fun_Ooverride__on(T_b,T_c,V_f_2,V_g_2,V_A_2),V_a_2) = hAPP(V_f_2,V_a_2) ) ).
% 163.46/163.48
% 163.46/163.48 fof(fact_override__on__apply__in,axiom,
% 163.46/163.48 ! [V_g_2,V_f_2,T_c,V_A_2,V_a_2,T_b] :
% 163.46/163.48 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 163.46/163.48 => hAPP(c_Fun_Ooverride__on(T_b,T_c,V_f_2,V_g_2,V_A_2),V_a_2) = hAPP(V_g_2,V_a_2) ) ).
% 163.46/163.48
% 163.46/163.48 fof(fact_Id__on__empty,axiom,
% 163.46/163.48 ! [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)) ).
% 163.46/163.48
% 163.46/163.48 fof(fact_total__on__converse,axiom,
% 163.46/163.48 ! [V_r_2,V_A_2,T_b] :
% 163.46/163.48 ( c_Relation_Ototal__on(T_b,V_A_2,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2))
% 163.46/163.48 <=> c_Relation_Ototal__on(T_b,V_A_2,V_r_2) ) ).
% 163.46/163.48
% 163.46/163.48 fof(fact_le__INF__iff,axiom,
% 163.46/163.48 ! [V_M_2,V_A_2,T_c,V_u_2,T_b] :
% 163.46/163.48 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 163.46/163.48 => ( 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)))
% 163.46/163.48 <=> ! [B_x] :
% 163.46/163.48 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 163.46/163.48 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_u_2),hAPP(V_M_2,B_x))) ) ) ) ).
% 163.46/163.48
% 163.46/163.48 fof(fact_INF__less__iff,axiom,
% 163.46/163.48 ! [V_a_2,V_f_2,V_A_2,T_c,T_b] :
% 163.46/163.48 ( ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 163.46/163.48 & class_Orderings_Olinorder(T_b) )
% 163.46/163.48 => ( 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))
% 163.46/163.48 <=> ? [B_x] :
% 163.46/163.48 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 163.46/163.48 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(V_f_2,B_x)),V_a_2)) ) ) ) ).
% 163.46/163.48
% 163.46/163.48 fof(fact_SUP__le__iff,axiom,
% 163.46/163.48 ! [V_u_2,V_M_2,V_A_2,T_c,T_b] :
% 163.46/163.48 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 163.46/163.48 => ( 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))
% 163.46/163.48 <=> ! [B_x] :
% 163.46/163.48 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 163.46/163.48 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(V_M_2,B_x)),V_u_2)) ) ) ) ).
% 163.46/163.48
% 163.46/163.48 fof(fact_order__refl,axiom,
% 163.46/163.48 ! [V_x,T_a] :
% 163.46/163.48 ( class_Orderings_Opreorder(T_a)
% 163.46/163.48 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_x)) ) ).
% 163.46/163.48
% 163.46/163.48 fof(fact_INT__E,axiom,
% 163.46/163.48 ! [V_a_2,V_B_2,V_A_2,T_c,V_b_2,T_b] :
% 163.46/163.48 ( 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)))
% 163.46/163.48 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(V_B_2,V_a_2)))
% 163.46/163.48 => ~ hBOOL(hAPP(hAPP(c_member(T_c),V_a_2),V_A_2)) ) ) ).
% 163.46/163.48
% 163.46/163.48 fof(fact_INT__D,axiom,
% 163.46/163.48 ! [V_a_2,V_B_2,V_A_2,T_c,V_b_2,T_b] :
% 163.46/163.48 ( 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)))
% 163.46/163.48 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_a_2),V_A_2))
% 163.46/163.48 => hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(V_B_2,V_a_2))) ) ) ).
% 163.46/163.48
% 163.46/163.48 fof(fact_UnionI,axiom,
% 163.46/163.48 ! [V_A_2,V_C_2,V_X_2,T_b] :
% 163.46/163.48 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_X_2),V_C_2))
% 163.46/163.48 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_A_2),V_X_2))
% 163.46/163.48 => 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))) ) ) ).
% 163.46/163.48
% 163.46/163.48 fof(fact_UN__I,axiom,
% 163.46/163.48 ! [V_B_2,V_b_2,T_c,V_A_2,V_a_2,T_b] :
% 163.46/163.48 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 163.46/163.48 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_b_2),hAPP(V_B_2,V_a_2)))
% 163.46/163.48 => 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))) ) ) ).
% 163.46/163.48
% 163.46/163.48 fof(fact_order__less__irrefl,axiom,
% 163.46/163.48 ! [V_x,T_a] :
% 163.46/163.48 ( class_Orderings_Opreorder(T_a)
% 163.46/163.48 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_x)) ) ).
% 163.46/163.48
% 163.46/163.48 fof(fact_Union__def,axiom,
% 163.46/163.48 ! [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))) ).
% 163.46/163.48
% 163.46/163.48 fof(fact_converse__converse,axiom,
% 163.46/163.48 ! [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 ).
% 163.46/163.48
% 163.46/163.48 fof(fact_Field__converse,axiom,
% 163.46/163.48 ! [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) ).
% 163.46/163.48
% 163.46/163.48 fof(fact_converse__Id__on,axiom,
% 163.46/163.48 ! [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) ).
% 163.46/163.48
% 163.46/163.48 fof(fact_linorder__not__less,axiom,
% 163.46/163.48 ! [V_y_2,V_x_2,T_b] :
% 163.46/163.48 ( class_Orderings_Olinorder(T_b)
% 163.46/163.48 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2))
% 163.46/163.48 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_x_2)) ) ) ).
% 163.46/163.48
% 163.46/163.48 fof(fact_linorder__not__le,axiom,
% 163.46/163.48 ! [V_y_2,V_x_2,T_b] :
% 163.46/163.48 ( class_Orderings_Olinorder(T_b)
% 163.46/163.48 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 163.46/163.48 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_y_2),V_x_2)) ) ) ).
% 163.46/163.48
% 163.46/163.48 fof(fact_linorder__neq__iff,axiom,
% 163.46/163.48 ! [V_y_2,V_x_2,T_b] :
% 163.46/163.48 ( class_Orderings_Olinorder(T_b)
% 163.46/163.48 => ( V_x_2 != V_y_2
% 163.46/163.48 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2))
% 163.46/163.48 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_y_2),V_x_2)) ) ) ) ).
% 163.46/163.48
% 163.46/163.48 fof(fact_not__less__iff__gr__or__eq,axiom,
% 163.46/163.48 ! [V_y_2,V_x_2,T_b] :
% 163.46/163.48 ( class_Orderings_Olinorder(T_b)
% 163.46/163.48 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2))
% 163.46/163.48 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_y_2),V_x_2))
% 163.46/163.48 | V_x_2 = V_y_2 ) ) ) ).
% 163.46/163.48
% 163.46/163.48 fof(fact_le__fun__def,axiom,
% 163.46/163.48 ! [V_g_2,V_f_2,T_b,T_c] :
% 163.46/163.48 ( class_Orderings_Oord(T_c)
% 163.46/163.48 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,T_c)),V_f_2),V_g_2))
% 163.46/163.48 <=> ! [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))) ) ) ).
% 163.46/163.48
% 163.46/163.48 fof(fact_linorder__le__less__linear,axiom,
% 163.46/163.48 ! [V_y,V_x,T_a] :
% 163.46/163.48 ( class_Orderings_Olinorder(T_a)
% 163.46/163.48 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 163.46/163.48 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ).
% 163.46/163.48
% 163.46/163.48 fof(fact_linorder__linear,axiom,
% 163.46/163.48 ! [V_y,V_x,T_a] :
% 163.46/163.48 ( class_Orderings_Olinorder(T_a)
% 163.46/163.48 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 163.46/163.48 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x)) ) ) ).
% 163.46/163.48
% 163.46/163.48 fof(fact_order__less__le,axiom,
% 163.46/163.48 ! [V_y_2,V_x_2,T_b] :
% 163.46/163.48 ( class_Orderings_Oorder(T_b)
% 163.46/163.48 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2))
% 163.46/163.48 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 163.46/163.48 & V_x_2 != V_y_2 ) ) ) ).
% 163.46/163.48
% 163.46/163.48 fof(fact_less__le__not__le,axiom,
% 163.46/163.48 ! [V_y_2,V_x_2,T_b] :
% 163.46/163.48 ( class_Orderings_Opreorder(T_b)
% 163.46/163.48 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2))
% 163.46/163.48 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 163.46/163.48 & ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_x_2)) ) ) ) ).
% 163.46/163.48
% 163.46/163.48 fof(fact_order__eq__iff,axiom,
% 163.46/163.48 ! [V_y_2,V_x_2,T_b] :
% 163.46/163.48 ( class_Orderings_Oorder(T_b)
% 163.46/163.48 => ( V_x_2 = V_y_2
% 163.46/163.48 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 163.46/163.48 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_x_2)) ) ) ) ).
% 163.46/163.48
% 163.46/163.48 fof(fact_order__le__less,axiom,
% 163.46/163.48 ! [V_y_2,V_x_2,T_b] :
% 163.46/163.48 ( class_Orderings_Oorder(T_b)
% 163.46/163.48 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 163.46/163.48 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2))
% 163.46/163.48 | V_x_2 = V_y_2 ) ) ) ).
% 163.46/163.48
% 163.46/163.48 fof(fact_linorder__less__linear,axiom,
% 163.46/163.48 ! [V_y,V_x,T_a] :
% 163.46/163.48 ( class_Orderings_Olinorder(T_a)
% 163.46/163.48 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 163.46/163.48 | V_x = V_y
% 163.46/163.48 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ).
% 163.46/163.48
% 163.46/163.48 fof(fact_INT__extend__simps_I8_J,axiom,
% 163.46/163.48 ! [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) ).
% 163.46/163.48
% 163.46/163.48 fof(fact_UN__extend__simps_I8_J,axiom,
% 163.46/163.48 ! [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) ).
% 163.46/163.48
% 163.46/163.48 fof(fact_INT__extend__simps_I9_J,axiom,
% 163.46/163.48 ! [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) ).
% 163.46/163.48
% 163.46/163.48 fof(fact_UN__extend__simps_I9_J,axiom,
% 163.46/163.48 ! [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) ).
% 163.46/163.48
% 163.46/163.48 fof(fact_INT__simps_I8_J,axiom,
% 163.46/163.48 ! [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)) ).
% 163.46/163.48
% 163.46/163.48 fof(fact_UN__simps_I8_J,axiom,
% 163.46/163.48 ! [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)) ).
% 163.46/163.48
% 163.46/163.48 fof(fact_ball__UN,axiom,
% 163.46/163.48 ! [V_P_2,V_B_2,V_A_2,T_c,T_b] :
% 163.46/163.48 ( ! [B_x] :
% 163.46/163.48 ( 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)))
% 163.46/163.48 => hBOOL(hAPP(V_P_2,B_x)) )
% 163.46/163.48 <=> ! [B_x] :
% 163.46/163.48 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 163.46/163.48 => ! [B_xa] :
% 163.46/163.48 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),hAPP(V_B_2,B_x)))
% 163.46/163.48 => hBOOL(hAPP(V_P_2,B_xa)) ) ) ) ).
% 163.46/163.48
% 163.46/163.48 fof(fact_INT__simps_I9_J,axiom,
% 163.46/163.48 ! [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)) ).
% 163.46/163.48
% 163.46/163.48 fof(fact_UN__simps_I9_J,axiom,
% 163.46/163.48 ! [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)) ).
% 163.46/163.48
% 163.46/163.48 fof(fact_UN__UN__flatten,axiom,
% 163.46/163.48 ! [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)) ).
% 163.46/163.48
% 163.46/163.48 fof(fact_leI,axiom,
% 163.46/163.48 ! [V_y,V_x,T_a] :
% 163.46/163.48 ( class_Orderings_Olinorder(T_a)
% 163.46/163.49 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 163.46/163.49 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x)) ) ) ).
% 163.46/163.49
% 163.46/163.49 fof(fact_not__leE,axiom,
% 163.46/163.49 ! [V_x,V_y,T_a] :
% 163.46/163.49 ( class_Orderings_Olinorder(T_a)
% 163.46/163.49 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 163.46/163.49 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) ) ) ).
% 163.46/163.49
% 163.46/163.49 fof(fact_linorder__antisym__conv3,axiom,
% 163.46/163.49 ! [V_x_2,V_y_2,T_b] :
% 163.46/163.49 ( class_Orderings_Olinorder(T_b)
% 163.46/163.49 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_y_2),V_x_2))
% 163.46/163.49 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2))
% 163.46/163.49 <=> V_x_2 = V_y_2 ) ) ) ).
% 163.46/163.49
% 163.46/163.49 fof(fact_linorder__antisym__conv1,axiom,
% 163.46/163.49 ! [V_y_2,V_x_2,T_b] :
% 163.46/163.49 ( class_Orderings_Olinorder(T_b)
% 163.46/163.49 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2))
% 163.46/163.49 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 163.46/163.49 <=> V_x_2 = V_y_2 ) ) ) ).
% 163.46/163.49
% 163.46/163.49 fof(fact_order__neq__le__trans,axiom,
% 163.46/163.49 ! [V_b,V_a,T_a] :
% 163.46/163.49 ( class_Orderings_Oorder(T_a)
% 163.46/163.49 => ( V_a != V_b
% 163.46/163.49 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 163.46/163.49 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ) ).
% 163.46/163.49
% 163.46/163.49 fof(fact_xt1_I12_J,axiom,
% 163.46/163.49 ! [V_b,V_a,T_a] :
% 163.46/163.49 ( class_Orderings_Oorder(T_a)
% 163.46/163.49 => ( V_a != V_b
% 163.46/163.49 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_a))
% 163.46/163.49 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a)) ) ) ) ).
% 163.46/163.49
% 163.46/163.49 fof(fact_linorder__neqE,axiom,
% 163.46/163.49 ! [V_y,V_x,T_a] :
% 163.46/163.49 ( class_Orderings_Olinorder(T_a)
% 163.46/163.49 => ( V_x != V_y
% 163.46/163.49 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 163.46/163.49 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ) ).
% 163.46/163.49
% 163.46/163.49 fof(fact_less__imp__neq,axiom,
% 163.46/163.49 ! [V_y,V_x,T_a] :
% 163.46/163.49 ( class_Orderings_Oorder(T_a)
% 163.46/163.49 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 163.46/163.49 => V_x != V_y ) ) ).
% 163.46/163.49
% 163.46/163.49 fof(fact_order__less__not__sym,axiom,
% 163.46/163.49 ! [V_y,V_x,T_a] :
% 163.46/163.49 ( class_Orderings_Opreorder(T_a)
% 163.46/163.49 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 163.46/163.49 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ).
% 163.46/163.49
% 163.46/163.49 fof(fact_leD,axiom,
% 163.46/163.49 ! [V_x,V_y,T_a] :
% 163.46/163.49 ( class_Orderings_Olinorder(T_a)
% 163.46/163.49 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 163.46/163.49 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) ) ) ).
% 163.46/163.49
% 163.46/163.49 fof(fact_order__eq__refl,axiom,
% 163.46/163.49 ! [V_y,V_x,T_a] :
% 163.46/163.49 ( class_Orderings_Opreorder(T_a)
% 163.46/163.49 => ( V_x = V_y
% 163.46/163.49 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) ) ) ).
% 163.46/163.49
% 163.46/163.49 fof(fact_order__less__imp__le,axiom,
% 163.46/163.49 ! [V_y,V_x,T_a] :
% 163.46/163.49 ( class_Orderings_Opreorder(T_a)
% 163.46/163.49 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 163.46/163.49 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) ) ) ).
% 163.46/163.49
% 163.46/163.49 fof(fact_Union__upper,axiom,
% 163.46/163.49 ! [V_A_2,V_B_2,T_b] :
% 163.46/163.49 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 163.46/163.49 => 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))) ) ).
% 163.46/163.49
% 163.46/163.49 fof(fact_Union__mono,axiom,
% 163.46/163.49 ! [V_B_2,V_A_2,T_b] :
% 163.46/163.49 ( 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))
% 163.46/163.49 => 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))) ) ).
% 163.46/163.49
% 163.46/163.49 fof(fact_mono__Field,axiom,
% 163.46/163.49 ! [V_s_2,V_r_2,T_b] :
% 163.46/163.49 ( 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))
% 163.46/163.49 => 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))) ) ).
% 163.46/163.49
% 163.46/163.49 fof(fact_order__less__imp__not__less,axiom,
% 163.46/163.49 ! [V_y,V_x,T_a] :
% 163.46/163.49 ( class_Orderings_Opreorder(T_a)
% 163.46/163.49 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 163.46/163.49 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ).
% 163.46/163.49
% 163.46/163.49 fof(fact_linorder__antisym__conv2,axiom,
% 163.46/163.49 ! [V_y_2,V_x_2,T_b] :
% 163.46/163.49 ( class_Orderings_Olinorder(T_b)
% 163.46/163.49 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 163.46/163.49 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2))
% 163.46/163.49 <=> V_x_2 = V_y_2 ) ) ) ).
% 163.46/163.49
% 163.46/163.49 fof(fact_le__funD,axiom,
% 163.46/163.49 ! [V_x_2,V_g_2,V_f_2,T_b,T_c] :
% 163.46/163.49 ( class_Orderings_Oord(T_c)
% 163.46/163.49 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,T_c)),V_f_2),V_g_2))
% 163.46/163.49 => 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))) ) ) ).
% 163.46/163.49
% 163.46/163.49 fof(fact_UN__upper,axiom,
% 163.46/163.49 ! [V_B_2,T_c,V_A_2,V_a_2,T_b] :
% 163.46/163.49 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 163.46/163.49 => 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))) ) ).
% 163.46/163.49
% 163.46/163.49 fof(fact_order__less__imp__not__eq,axiom,
% 163.46/163.49 ! [V_y,V_x,T_a] :
% 163.46/163.49 ( class_Orderings_Oorder(T_a)
% 163.46/163.49 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 163.46/163.49 => V_x != V_y ) ) ).
% 163.46/163.49
% 163.46/163.49 fof(fact_order__less__imp__not__eq2,axiom,
% 163.46/163.49 ! [V_y,V_x,T_a] :
% 163.46/163.49 ( class_Orderings_Oorder(T_a)
% 163.46/163.49 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 163.46/163.49 => V_y != V_x ) ) ).
% 163.46/163.49
% 163.46/163.49 fof(fact_order__le__imp__less__or__eq,axiom,
% 163.46/163.49 ! [V_y,V_x,T_a] :
% 163.46/163.49 ( class_Orderings_Oorder(T_a)
% 163.46/163.49 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 163.46/163.49 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 163.46/163.49 | V_x = V_y ) ) ) ).
% 163.46/163.49
% 163.46/163.49 fof(fact_order__antisym__conv,axiom,
% 163.46/163.49 ! [V_x_2,V_y_2,T_b] :
% 163.46/163.49 ( class_Orderings_Oorder(T_b)
% 163.46/163.49 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_x_2))
% 163.46/163.49 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 163.46/163.49 <=> V_x_2 = V_y_2 ) ) ) ).
% 163.46/163.49
% 163.46/163.49 fof(fact_INT__lower,axiom,
% 163.46/163.49 ! [V_B_2,T_c,V_A_2,V_a_2,T_b] :
% 163.46/163.49 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 163.46/163.49 => 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))) ) ).
% 163.46/163.49
% 163.46/163.49 fof(fact_INT__insert__distrib,axiom,
% 163.46/163.49 ! [V_B_2,V_a_2,T_c,V_A_2,V_u_2,T_b] :
% 163.46/163.49 ( hBOOL(hAPP(hAPP(c_member(T_b),V_u_2),V_A_2))
% 163.46/163.49 => 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)) ) ).
% 163.46/163.49
% 163.46/163.49 fof(fact_UN__insert__distrib,axiom,
% 163.46/163.49 ! [V_B_2,V_a_2,T_c,V_A_2,V_u_2,T_b] :
% 163.46/163.49 ( hBOOL(hAPP(hAPP(c_member(T_b),V_u_2),V_A_2))
% 163.46/163.49 => 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)) ) ).
% 163.46/163.49
% 163.46/163.49 fof(fact_order__le__neq__trans,axiom,
% 163.46/163.49 ! [V_b,V_a,T_a] :
% 163.46/163.49 ( class_Orderings_Oorder(T_a)
% 163.46/163.49 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 163.46/163.49 => ( V_a != V_b
% 163.46/163.49 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ) ).
% 163.46/163.49
% 163.46/163.49 fof(fact_xt1_I11_J,axiom,
% 163.46/163.49 ! [V_a,V_b,T_a] :
% 163.46/163.49 ( class_Orderings_Oorder(T_a)
% 163.46/163.49 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_a))
% 163.46/163.49 => ( V_a != V_b
% 163.46/163.49 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a)) ) ) ) ).
% 163.46/163.49
% 163.46/163.49 fof(fact_order__less__asym_H,axiom,
% 163.46/163.49 ! [V_b,V_a,T_a] :
% 163.46/163.49 ( class_Orderings_Opreorder(T_a)
% 163.46/163.49 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 163.46/163.49 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a)) ) ) ).
% 163.46/163.49
% 163.46/163.49 fof(fact_xt1_I9_J,axiom,
% 163.46/163.49 ! [V_a,V_b,T_a] :
% 163.46/163.49 ( class_Orderings_Oorder(T_a)
% 163.46/163.49 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a))
% 163.46/163.49 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ).
% 163.46/163.49
% 163.46/163.49 fof(fact_ord__eq__less__trans,axiom,
% 163.46/163.49 ! [V_c,V_b,V_a,T_a] :
% 163.46/163.49 ( class_Orderings_Oord(T_a)
% 163.46/163.49 => ( V_a = V_b
% 163.46/163.49 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_c))
% 163.46/163.49 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_c)) ) ) ) ).
% 163.46/163.49
% 163.46/163.49 fof(fact_xt1_I1_J,axiom,
% 163.46/163.49 ! [V_c,V_b,V_a,T_a] :
% 163.46/163.49 ( class_Orderings_Oorder(T_a)
% 163.46/163.49 => ( V_a = V_b
% 163.46/163.49 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_b))
% 163.46/163.49 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_a)) ) ) ) ).
% 163.46/163.49
% 163.46/163.49 fof(fact_ord__eq__le__trans,axiom,
% 163.46/163.49 ! [V_c,V_b,V_a,T_a] :
% 163.46/163.49 ( class_Orderings_Oord(T_a)
% 163.46/163.49 => ( V_a = V_b
% 163.46/163.49 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_c))
% 163.46/163.49 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_c)) ) ) ) ).
% 163.46/163.49
% 163.46/163.49 fof(fact_xt1_I3_J,axiom,
% 163.46/163.49 ! [V_c,V_b,V_a,T_a] :
% 163.46/163.49 ( class_Orderings_Oorder(T_a)
% 163.46/163.49 => ( V_a = V_b
% 163.46/163.49 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_b))
% 163.46/163.49 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_a)) ) ) ) ).
% 163.46/163.49
% 163.46/163.49 fof(fact_ord__less__eq__trans,axiom,
% 163.46/163.49 ! [V_c,V_b,V_a,T_a] :
% 163.46/163.49 ( class_Orderings_Oord(T_a)
% 163.46/163.49 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 163.46/163.49 => ( V_b = V_c
% 163.46/163.49 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_c)) ) ) ) ).
% 163.46/163.49
% 163.46/163.49 fof(fact_xt1_I2_J,axiom,
% 163.46/163.49 ! [V_c,V_a,V_b,T_a] :
% 163.46/163.49 ( class_Orderings_Oorder(T_a)
% 163.46/163.49 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a))
% 163.46/163.49 => ( V_b = V_c
% 163.46/163.49 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_a)) ) ) ) ).
% 163.46/163.49
% 163.46/163.49 fof(fact_order__less__trans,axiom,
% 163.46/163.49 ! [V_z,V_y,V_x,T_a] :
% 163.46/163.49 ( class_Orderings_Opreorder(T_a)
% 163.46/163.49 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 163.46/163.49 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_z))
% 163.46/163.49 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_z)) ) ) ) ).
% 163.46/163.49
% 163.46/163.49 fof(fact_order__less__le__trans,axiom,
% 163.46/163.49 ! [V_z,V_y,V_x,T_a] :
% 163.46/163.49 ( class_Orderings_Opreorder(T_a)
% 163.46/163.49 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 163.46/163.49 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_z))
% 163.46/163.49 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_z)) ) ) ) ).
% 163.46/163.49
% 163.46/163.49 fof(fact_xt1_I10_J,axiom,
% 163.46/163.49 ! [V_z,V_x,V_y,T_a] :
% 163.46/163.49 ( class_Orderings_Oorder(T_a)
% 163.46/163.49 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x))
% 163.46/163.49 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_z),V_y))
% 163.46/163.49 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_z),V_x)) ) ) ) ).
% 163.46/163.49
% 163.46/163.49 fof(fact_xt1_I7_J,axiom,
% 163.46/163.49 ! [V_z,V_x,V_y,T_a] :
% 163.46/163.49 ( class_Orderings_Oorder(T_a)
% 163.46/163.49 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x))
% 163.46/163.49 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_z),V_y))
% 163.46/163.49 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_z),V_x)) ) ) ) ).
% 163.46/163.49
% 163.46/163.49 fof(fact_ord__le__eq__trans,axiom,
% 163.46/163.49 ! [V_c,V_b,V_a,T_a] :
% 163.46/163.49 ( class_Orderings_Oord(T_a)
% 163.46/163.49 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 163.46/163.49 => ( V_b = V_c
% 163.46/163.49 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_c)) ) ) ) ).
% 163.46/163.49
% 163.46/163.49 fof(fact_xt1_I4_J,axiom,
% 163.46/163.49 ! [V_c,V_a,V_b,T_a] :
% 163.46/163.49 ( class_Orderings_Oorder(T_a)
% 163.46/163.49 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_a))
% 163.46/163.49 => ( V_b = V_c
% 163.46/163.49 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_a)) ) ) ) ).
% 163.46/163.49
% 163.46/163.49 fof(fact_order__le__less__trans,axiom,
% 163.46/163.49 ! [V_z,V_y,V_x,T_a] :
% 163.46/163.49 ( class_Orderings_Opreorder(T_a)
% 163.46/163.49 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 163.46/163.49 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_z))
% 163.46/163.49 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_z)) ) ) ) ).
% 163.46/163.49
% 163.46/163.49 fof(fact_order__antisym,axiom,
% 163.46/163.49 ! [V_y,V_x,T_a] :
% 163.46/163.49 ( class_Orderings_Oorder(T_a)
% 163.46/163.49 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 163.46/163.49 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 163.46/163.49 => V_x = V_y ) ) ) ).
% 163.46/163.49
% 163.46/163.49 fof(fact_order__trans,axiom,
% 163.46/163.49 ! [V_z,V_y,V_x,T_a] :
% 163.46/163.49 ( class_Orderings_Opreorder(T_a)
% 163.46/163.49 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 163.46/163.49 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_z))
% 163.46/163.49 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_z)) ) ) ) ).
% 163.46/163.49
% 163.46/163.49 fof(fact_xt1_I8_J,axiom,
% 163.46/163.49 ! [V_z,V_x,V_y,T_a] :
% 163.46/163.49 ( class_Orderings_Oorder(T_a)
% 163.46/163.49 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 163.46/163.49 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_z),V_y))
% 163.46/163.49 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_z),V_x)) ) ) ) ).
% 163.46/163.49
% 163.46/163.49 fof(fact_xt1_I5_J,axiom,
% 163.46/163.49 ! [V_x,V_y,T_a] :
% 163.46/163.49 ( class_Orderings_Oorder(T_a)
% 163.46/163.49 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 163.46/163.49 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 163.46/163.49 => V_x = V_y ) ) ) ).
% 163.46/163.49
% 163.46/163.49 fof(fact_xt1_I6_J,axiom,
% 163.46/163.49 ! [V_z,V_x,V_y,T_a] :
% 163.46/163.49 ( class_Orderings_Oorder(T_a)
% 163.46/163.49 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 163.46/163.49 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_z),V_y))
% 163.46/163.49 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_z),V_x)) ) ) ) ).
% 163.46/163.49
% 163.46/163.49 fof(fact_order__less__asym,axiom,
% 163.46/163.49 ! [V_y,V_x,T_a] :
% 163.46/163.49 ( class_Orderings_Opreorder(T_a)
% 163.46/163.49 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 163.46/163.49 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ).
% 163.46/163.49
% 163.46/163.49 fof(fact_le__funE,axiom,
% 163.46/163.49 ! [V_x_2,V_g_2,V_f_2,T_b,T_c] :
% 163.46/163.49 ( class_Orderings_Oord(T_c)
% 163.46/163.49 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,T_c)),V_f_2),V_g_2))
% 163.46/163.49 => 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))) ) ) ).
% 163.46/163.49
% 163.46/163.49 fof(fact_linorder__le__cases,axiom,
% 163.46/163.49 ! [V_y,V_x,T_a] :
% 163.46/163.49 ( class_Orderings_Olinorder(T_a)
% 163.46/163.49 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 163.46/163.49 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x)) ) ) ).
% 163.46/163.49
% 163.46/163.49 fof(fact_linorder__cases,axiom,
% 163.46/163.49 ! [V_y,V_x,T_a] :
% 163.46/163.49 ( class_Orderings_Olinorder(T_a)
% 163.46/163.49 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 163.46/163.49 => ( V_x != V_y
% 163.46/163.49 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ) ).
% 163.46/163.49
% 163.46/163.49 fof(fact_SUP__subset,axiom,
% 163.46/163.49 ! [V_f_2,V_B_2,V_A_2,T_b,T_c] :
% 163.46/163.49 ( class_Complete__Lattice_Ocomplete__lattice(T_c)
% 163.46/163.49 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 163.46/163.49 => 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))) ) ) ).
% 163.46/163.49
% 163.46/163.49 fof(fact_INF__subset,axiom,
% 163.46/163.49 ! [V_f_2,V_B_2,V_A_2,T_b,T_c] :
% 163.46/163.49 ( class_Complete__Lattice_Ocomplete__lattice(T_c)
% 163.46/163.49 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 163.46/163.49 => 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))) ) ) ).
% 163.46/163.49
% 163.46/163.49 fof(fact_INT__extend__simps_I5_J,axiom,
% 163.46/163.49 ! [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)) ).
% 163.46/163.49
% 163.46/163.49 fof(fact_INT__simps_I5_J,axiom,
% 163.46/163.49 ! [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)) ).
% 163.46/163.49
% 163.46/163.49 fof(fact_Sup__upper,axiom,
% 163.46/163.49 ! [V_A_2,V_x_2,T_b] :
% 163.46/163.49 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 163.46/163.49 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 163.46/163.49 => 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))) ) ) ).
% 163.46/163.49
% 163.46/163.49 fof(fact_UN__iff,axiom,
% 163.46/163.49 ! [V_B_2,V_A_2,T_c,V_b_2,T_b] :
% 163.46/163.49 ( 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)))
% 163.46/163.49 <=> ? [B_x] :
% 163.46/163.49 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 163.46/163.49 & hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(V_B_2,B_x))) ) ) ).
% 163.46/163.49
% 163.46/163.49 fof(fact_INT__iff,axiom,
% 163.46/163.49 ! [V_B_2,V_A_2,T_c,V_b_2,T_b] :
% 163.46/163.49 ( 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)))
% 163.46/163.49 <=> ! [B_x] :
% 163.46/163.49 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 163.46/163.49 => hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(V_B_2,B_x))) ) ) ).
% 163.46/163.49
% 163.46/163.49 fof(fact_converse__UNION,axiom,
% 163.46/163.49 ! [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)) ).
% 163.46/163.49
% 163.46/163.49 fof(fact_converse__INTER,axiom,
% 163.46/163.49 ! [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)) ).
% 163.46/163.49
% 163.46/163.49 fof(fact_UN__subset__iff,axiom,
% 163.46/163.49 ! [V_B_2,V_A_2,V_I_2,T_c,T_b] :
% 163.46/163.49 ( 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))
% 163.46/163.49 <=> ! [B_x] :
% 163.46/163.49 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_I_2))
% 163.46/163.49 => 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)) ) ) ).
% 163.46/163.49
% 163.46/163.49 fof(fact_le__SUPI,axiom,
% 163.46/163.49 ! [V_M_2,V_A_2,V_i_2,T_b,T_c] :
% 163.46/163.49 ( class_Complete__Lattice_Ocomplete__lattice(T_c)
% 163.46/163.49 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),V_A_2))
% 163.46/163.49 => 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))) ) ) ).
% 163.46/163.49
% 163.46/163.49 fof(fact_INF__leI,axiom,
% 163.46/163.49 ! [V_M_2,V_A_2,V_i_2,T_b,T_c] :
% 163.46/163.49 ( class_Complete__Lattice_Ocomplete__lattice(T_c)
% 163.46/163.49 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),V_A_2))
% 163.46/163.49 => 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))) ) ) ).
% 163.46/163.49
% 163.46/163.49 fof(fact_bot__least,axiom,
% 163.46/163.49 ! [V_x,T_a] :
% 163.46/163.49 ( class_Orderings_Obot(T_a)
% 163.46/163.49 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Orderings_Obot__class_Obot(T_a)),V_x)) ) ).
% 163.46/163.49
% 163.46/163.49 fof(fact_less__Sup__iff,axiom,
% 163.46/163.49 ! [V_S_2,V_a_2,T_b] :
% 163.46/163.49 ( ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 163.46/163.49 & class_Orderings_Olinorder(T_b) )
% 163.46/163.49 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Complete__Lattice_OSup__class_OSup(T_b,V_S_2)))
% 163.46/163.49 <=> ? [B_x] :
% 163.46/163.49 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_S_2))
% 163.46/163.49 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),B_x)) ) ) ) ).
% 163.46/163.49
% 163.46/163.49 fof(fact_Sup__le__iff,axiom,
% 163.46/163.49 ! [V_b_2,V_A_2,T_b] :
% 163.46/163.49 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 163.46/163.49 => ( 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))
% 163.46/163.49 <=> ! [B_x] :
% 163.46/163.49 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 163.46/163.49 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),B_x),V_b_2)) ) ) ) ).
% 163.46/163.49
% 163.46/163.50 fof(fact_thin,axiom,
% 163.46/163.50 ! [V_Ga_2,V_tsa_2,V_G_H_2,T_b] :
% 163.46/163.50 ( c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_G_H_2,V_tsa_2)
% 163.46/163.50 => ( 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))
% 163.46/163.50 => c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,V_tsa_2) ) ) ).
% 163.46/163.50
% 163.46/163.50 fof(fact_weaken,axiom,
% 163.46/163.50 ! [V_tsa_2,V_ts_H_2,V_Ga_2,T_b] :
% 163.46/163.50 ( c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,V_ts_H_2)
% 163.46/163.50 => ( 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))
% 163.46/163.50 => c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,V_tsa_2) ) ) ).
% 163.46/163.50
% 163.46/163.50 fof(fact_asm,axiom,
% 163.46/163.50 ! [V_Ga_2,V_tsa_2,T_b] :
% 163.46/163.50 ( 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))
% 163.46/163.50 => c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,V_tsa_2) ) ).
% 163.46/163.50
% 163.46/163.50 fof(fact_UN__simps_I1_J,axiom,
% 163.46/163.50 ! [V_B_2,V_a_2,T_c,T_b,V_C_2] :
% 163.46/163.50 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.46/163.50 => 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)) )
% 163.46/163.50 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.46/163.50 => 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)) ) ) ).
% 163.46/163.50
% 163.46/163.50 fof(fact_UN__singleton,axiom,
% 163.46/163.50 ! [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 ).
% 163.46/163.50
% 163.46/163.50 fof(fact_UN__extend__simps_I1_J,axiom,
% 163.46/163.50 ! [V_B_2,V_a_2,T_c,T_b,V_C_2] :
% 163.46/163.50 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.46/163.50 => 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))) )
% 163.46/163.50 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.46/163.50 => 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)) ) ) ).
% 163.46/163.50
% 163.46/163.50 fof(fact_less__SUP__iff,axiom,
% 163.46/163.50 ! [V_f_2,V_A_2,T_c,V_a_2,T_b] :
% 163.46/163.50 ( ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 163.46/163.50 & class_Orderings_Olinorder(T_b) )
% 163.46/163.50 => ( 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)))
% 163.46/163.50 <=> ? [B_x] :
% 163.46/163.50 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 163.46/163.50 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),hAPP(V_f_2,B_x))) ) ) ) ).
% 163.46/163.50
% 163.46/163.50 fof(fact_SUP1__I,axiom,
% 163.46/163.50 ! [T_c,V_b_2,V_B_2,V_A_2,V_a_2,T_b] :
% 163.46/163.50 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 163.46/163.50 => ( hBOOL(hAPP(hAPP(V_B_2,V_a_2),V_b_2))
% 163.46/163.50 => 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)) ) ) ).
% 163.46/163.50
% 163.46/163.50 fof(fact_insertCI,axiom,
% 163.46/163.50 ! [V_b_2,V_B_2,V_a_2,T_b] :
% 163.46/163.50 ( ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_B_2))
% 163.46/163.50 => V_a_2 = V_b_2 )
% 163.46/163.50 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),V_B_2))) ) ).
% 163.46/163.50
% 163.46/163.50 fof(fact_insertE,axiom,
% 163.46/163.50 ! [V_A_2,V_b_2,V_a_2,T_b] :
% 163.46/163.50 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),V_A_2)))
% 163.46/163.50 => ( V_a_2 != V_b_2
% 163.46/163.50 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ) ).
% 163.46/163.50
% 163.46/163.50 fof(fact_emptyE,axiom,
% 163.46/163.50 ! [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)))) ).
% 163.46/163.50
% 163.46/163.50 fof(fact_SUP2__I,axiom,
% 163.46/163.50 ! [T_d,T_c,V_c_2,V_b_2,V_B_2,V_A_2,V_a_2,T_b] :
% 163.46/163.50 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 163.46/163.50 => ( hBOOL(hAPP(hAPP(hAPP(V_B_2,V_a_2),V_b_2),V_c_2))
% 163.46/163.50 => 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)) ) ) ).
% 163.46/163.50
% 163.46/163.50 fof(fact_INF1__D,axiom,
% 163.46/163.50 ! [V_a_2,V_b_2,V_B_2,V_A_2,T_c,T_b] :
% 163.46/163.50 ( 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))
% 163.46/163.50 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 163.46/163.50 => hBOOL(hAPP(hAPP(V_B_2,V_a_2),V_b_2)) ) ) ).
% 163.46/163.50
% 163.46/163.50 fof(fact_INF1__E,axiom,
% 163.46/163.50 ! [V_a_2,V_b_2,V_B_2,V_A_2,T_c,T_b] :
% 163.46/163.50 ( 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))
% 163.46/163.50 => ( ~ hBOOL(hAPP(hAPP(V_B_2,V_a_2),V_b_2))
% 163.46/163.50 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ) ).
% 163.46/163.50
% 163.46/163.50 fof(fact_INF2__D,axiom,
% 163.46/163.50 ! [V_a_2,V_c_2,V_b_2,V_B_2,V_A_2,T_d,T_c,T_b] :
% 163.46/163.50 ( 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))
% 163.46/163.50 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 163.46/163.50 => hBOOL(hAPP(hAPP(hAPP(V_B_2,V_a_2),V_b_2),V_c_2)) ) ) ).
% 163.46/163.50
% 163.46/163.50 fof(fact_INF2__E,axiom,
% 163.46/163.50 ! [V_a_2,V_c_2,V_b_2,V_B_2,V_A_2,T_d,T_c,T_b] :
% 163.46/163.50 ( 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))
% 163.46/163.50 => ( ~ hBOOL(hAPP(hAPP(hAPP(V_B_2,V_a_2),V_b_2),V_c_2))
% 163.46/163.50 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ) ).
% 163.46/163.50
% 163.46/163.50 fof(fact_singleton__iff,axiom,
% 163.46/163.50 ! [V_a_2,V_b_2,T_b] :
% 163.46/163.50 ( 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)))))
% 163.46/163.50 <=> V_b_2 = V_a_2 ) ).
% 163.46/163.50
% 163.46/163.50 fof(fact_singletonE,axiom,
% 163.46/163.50 ! [V_a_2,V_b_2,T_b] :
% 163.46/163.50 ( 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)))))
% 163.46/163.50 => V_b_2 = V_a_2 ) ).
% 163.46/163.50
% 163.46/163.50 fof(fact_empty__subsetI,axiom,
% 163.46/163.50 ! [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)) ).
% 163.46/163.50
% 163.46/163.50 fof(fact_equalityCE,axiom,
% 163.46/163.50 ! [V_c_2,T_b,V_B_2,V_A_2] :
% 163.46/163.50 ( V_A_2 = V_B_2
% 163.46/163.50 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2))
% 163.46/163.50 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) )
% 163.46/163.50 => ~ ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2))
% 163.46/163.50 => hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ) ) ) ).
% 163.46/163.50
% 163.46/163.50 fof(fact_equalityI,axiom,
% 163.46/163.50 ! [V_B_2,V_A_2,T_b] :
% 163.46/163.50 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 163.46/163.50 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 163.46/163.50 => V_A_2 = V_B_2 ) ) ).
% 163.46/163.50
% 163.46/163.50 fof(fact_subsetD,axiom,
% 163.46/163.50 ! [V_c_2,V_B_2,V_A_2,T_b] :
% 163.46/163.50 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 163.46/163.50 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2))
% 163.46/163.50 => hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ) ) ).
% 163.46/163.50
% 163.46/163.50 fof(fact_less__fun__def,axiom,
% 163.46/163.50 ! [V_g_2,V_f_2,T_b,T_c] :
% 163.46/163.50 ( class_Orderings_Oord(T_c)
% 163.46/163.50 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,T_c)),V_f_2),V_g_2))
% 163.46/163.50 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,T_c)),V_f_2),V_g_2))
% 163.46/163.50 & ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,T_c)),V_g_2),V_f_2)) ) ) ) ).
% 163.46/163.50
% 163.46/163.50 fof(fact_INF1__iff,axiom,
% 163.46/163.50 ! [V_b_2,V_B_2,V_A_2,T_c,T_b] :
% 163.46/163.50 ( 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))
% 163.46/163.50 <=> ! [B_x] :
% 163.46/163.50 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 163.46/163.50 => hBOOL(hAPP(hAPP(V_B_2,B_x),V_b_2)) ) ) ).
% 163.46/163.50
% 163.46/163.50 fof(fact_INF2__iff,axiom,
% 163.46/163.50 ! [V_c_2,V_b_2,V_B_2,V_A_2,T_d,T_c,T_b] :
% 163.46/163.50 ( 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))
% 163.46/163.50 <=> ! [B_x] :
% 163.46/163.50 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 163.46/163.50 => hBOOL(hAPP(hAPP(hAPP(V_B_2,B_x),V_b_2),V_c_2)) ) ) ).
% 163.46/163.50
% 163.46/163.50 fof(fact_SUP2__iff,axiom,
% 163.46/163.50 ! [V_c_2,V_b_2,V_B_2,V_A_2,T_d,T_c,T_b] :
% 163.46/163.50 ( 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))
% 163.46/163.50 <=> ? [B_x] :
% 163.46/163.50 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 163.46/163.50 & hBOOL(hAPP(hAPP(hAPP(V_B_2,B_x),V_b_2),V_c_2)) ) ) ).
% 163.46/163.50
% 163.46/163.50 fof(fact_equalityE,axiom,
% 163.46/163.50 ! [T_b,V_B_2,V_A_2] :
% 163.46/163.50 ( V_A_2 = V_B_2
% 163.46/163.50 => ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 163.46/163.50 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) ) ) ).
% 163.46/163.50
% 163.46/163.50 fof(fact_subset__trans,axiom,
% 163.46/163.50 ! [V_C_2,V_B_2,V_A_2,T_b] :
% 163.46/163.50 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 163.46/163.50 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2))
% 163.46/163.50 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)) ) ) ).
% 163.46/163.50
% 163.46/163.50 fof(fact_subset__psubset__trans,axiom,
% 163.46/163.50 ! [V_C_2,V_B_2,V_A_2,T_b] :
% 163.46/163.50 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 163.46/163.50 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2))
% 163.46/163.50 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)) ) ) ).
% 163.46/163.50
% 163.46/163.50 fof(fact_psubset__subset__trans,axiom,
% 163.46/163.50 ! [V_C_2,V_B_2,V_A_2,T_b] :
% 163.46/163.50 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 163.46/163.50 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2))
% 163.46/163.50 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)) ) ) ).
% 163.46/163.50
% 163.46/163.50 fof(fact_predicate1D,axiom,
% 163.46/163.50 ! [V_x_2,V_Q_2,V_P_2,T_b] :
% 163.46/163.50 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_P_2),V_Q_2))
% 163.46/163.50 => ( hBOOL(hAPP(V_P_2,V_x_2))
% 163.46/163.50 => hBOOL(hAPP(V_Q_2,V_x_2)) ) ) ).
% 163.46/163.50
% 163.46/163.50 fof(fact_psubset__imp__subset,axiom,
% 163.46/163.50 ! [V_B_2,V_A_2,T_b] :
% 163.46/163.50 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 163.46/163.50 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ).
% 163.46/163.50
% 163.46/163.50 fof(fact_equalityD2,axiom,
% 163.46/163.50 ! [T_b,V_B_2,V_A_2] :
% 163.46/163.50 ( V_A_2 = V_B_2
% 163.46/163.50 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) ) ).
% 163.46/163.50
% 163.46/163.50 fof(fact_equalityD1,axiom,
% 163.46/163.50 ! [T_b,V_B_2,V_A_2] :
% 163.46/163.50 ( V_A_2 = V_B_2
% 163.46/163.50 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ).
% 163.46/163.50
% 163.46/163.50 fof(fact_rev__predicate1D,axiom,
% 163.46/163.50 ! [V_Q_2,T_b,V_x_2,V_P_2] :
% 163.46/163.50 ( hBOOL(hAPP(V_P_2,V_x_2))
% 163.46/163.50 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_P_2),V_Q_2))
% 163.46/163.50 => hBOOL(hAPP(V_Q_2,V_x_2)) ) ) ).
% 163.46/163.50
% 163.46/163.50 fof(fact_subset__iff__psubset__eq,axiom,
% 163.46/163.50 ! [V_B_2,V_A_2,T_b] :
% 163.46/163.50 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 163.46/163.50 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 163.46/163.50 | V_A_2 = V_B_2 ) ) ).
% 163.46/163.50
% 163.46/163.50 fof(fact_set__eq__subset,axiom,
% 163.46/163.50 ! [T_b,V_B_2,V_A_2] :
% 163.46/163.50 ( V_A_2 = V_B_2
% 163.46/163.50 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 163.46/163.50 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) ) ) ).
% 163.46/163.50
% 163.46/163.50 fof(fact_psubset__eq,axiom,
% 163.46/163.50 ! [V_B_2,V_A_2,T_b] :
% 163.46/163.50 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 163.46/163.50 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 163.46/163.50 & V_A_2 != V_B_2 ) ) ).
% 163.46/163.50
% 163.46/163.50 fof(fact_subset__refl,axiom,
% 163.46/163.50 ! [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)) ).
% 163.46/163.50
% 163.46/163.50 fof(fact_INT__subset__iff,axiom,
% 163.46/163.50 ! [V_A_2,V_I_2,T_c,V_B_2,T_b] :
% 163.46/163.50 ( 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)))
% 163.46/163.50 <=> ! [B_x] :
% 163.46/163.50 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_I_2))
% 163.46/163.50 => 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))) ) ) ).
% 163.46/163.50
% 163.46/163.50 fof(fact_mem__def,axiom,
% 163.46/163.50 ! [V_A_2,V_x_2,T_b] :
% 163.46/163.50 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 163.46/163.50 <=> hBOOL(hAPP(V_A_2,V_x_2)) ) ).
% 163.46/163.50
% 163.46/163.50 fof(fact_eq__mem,axiom,
% 163.46/163.50 ! [V_y_2,V_x_2,T_b] :
% 163.46/163.50 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_fequal,V_y_2)))
% 163.46/163.50 <=> V_x_2 = V_y_2 ) ).
% 163.46/163.50
% 163.46/163.50 fof(fact_eqset__imp__iff,axiom,
% 163.46/163.50 ! [V_x_2,T_b,V_B_2,V_A_2] :
% 163.46/163.50 ( V_A_2 = V_B_2
% 163.46/163.50 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 163.46/163.50 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2)) ) ) ).
% 163.46/163.50
% 163.46/163.50 fof(fact_eqelem__imp__iff,axiom,
% 163.46/163.50 ! [V_A_2,T_b,V_y_2,V_x_2] :
% 163.46/163.50 ( V_x_2 = V_y_2
% 163.46/163.50 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 163.46/163.50 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2)) ) ) ).
% 163.46/163.50
% 163.46/163.50 fof(fact_in__mono,axiom,
% 163.46/163.50 ! [V_x_2,V_B_2,V_A_2,T_b] :
% 163.46/163.50 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 163.46/163.50 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 163.46/163.50 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2)) ) ) ).
% 163.46/163.50
% 163.46/163.50 fof(fact_eq__mem__trans,axiom,
% 163.46/163.50 ! [V_A_2,T_b,V_b_2,V_a_2] :
% 163.46/163.50 ( V_a_2 = V_b_2
% 163.46/163.50 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),V_A_2))
% 163.46/163.50 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ) ).
% 163.46/163.50
% 163.46/163.50 fof(fact_set__rev__mp,axiom,
% 163.46/163.50 ! [V_B_2,V_A_2,V_x_2,T_b] :
% 163.46/163.50 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 163.46/163.50 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 163.46/163.50 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2)) ) ) ).
% 163.46/163.50
% 163.46/163.50 fof(fact_psubsetD,axiom,
% 163.46/163.50 ! [V_c_2,V_B_2,V_A_2,T_b] :
% 163.46/163.50 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 163.46/163.50 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2))
% 163.46/163.50 => hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ) ) ).
% 163.46/163.50
% 163.46/163.50 fof(fact_set__mp,axiom,
% 163.46/163.50 ! [V_x_2,V_B_2,V_A_2,T_b] :
% 163.46/163.50 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 163.46/163.50 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 163.46/163.50 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2)) ) ) ).
% 163.46/163.50
% 163.46/163.50 fof(fact_subset__empty,axiom,
% 163.46/163.50 ! [V_A_2,T_b] :
% 163.46/163.50 ( 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))))
% 163.46/163.50 <=> V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 163.46/163.50
% 163.46/163.50 fof(fact_not__psubset__empty,axiom,
% 163.46/163.50 ! [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)))) ).
% 163.46/163.50
% 163.46/163.50 fof(fact_subset__insertI,axiom,
% 163.46/163.50 ! [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))) ).
% 163.46/163.50
% 163.46/163.50 fof(fact_insert__absorb2,axiom,
% 163.46/163.50 ! [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) ).
% 163.46/163.50
% 163.46/163.50 fof(fact_insert__commute,axiom,
% 163.46/163.50 ! [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)) ).
% 163.46/163.50
% 163.46/163.50 fof(fact_insert__code,axiom,
% 163.46/163.50 ! [V_x_2,V_A_2,V_y_2,T_b] :
% 163.46/163.50 ( hBOOL(hAPP(hAPP(hAPP(c_Set_Oinsert(T_b),V_y_2),V_A_2),V_x_2))
% 163.46/163.50 <=> ( V_y_2 = V_x_2
% 163.46/163.50 | hBOOL(hAPP(V_A_2,V_x_2)) ) ) ).
% 163.46/163.50
% 163.46/163.50 fof(fact_subset__insertI2,axiom,
% 163.46/163.50 ! [V_b_2,V_B_2,V_A_2,T_b] :
% 163.46/163.50 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 163.46/163.50 => 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))) ) ).
% 163.46/163.50
% 163.46/163.50 fof(fact_insert__mono,axiom,
% 163.46/163.50 ! [V_a_2,V_D_2,V_C_2,T_b] :
% 163.46/163.50 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_D_2))
% 163.46/163.50 => 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))) ) ).
% 163.46/163.50
% 163.46/163.50 fof(fact_pred__equals__eq,axiom,
% 163.46/163.50 ! [V_S_2,V_R_2,T_b] :
% 163.46/163.50 ( 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)
% 163.46/163.50 <=> V_R_2 = V_S_2 ) ).
% 163.46/163.50
% 163.46/163.50 fof(fact_pred__subset__eq,axiom,
% 163.46/163.50 ! [V_S_2,V_R_2,T_b] :
% 163.46/163.50 ( 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)))
% 163.46/163.50 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_R_2),V_S_2)) ) ).
% 163.46/163.50
% 163.46/163.50 fof(fact_SUP1__iff,axiom,
% 163.46/163.50 ! [V_b_2,V_B_2,V_A_2,T_c,T_b] :
% 163.46/163.50 ( 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))
% 163.46/163.50 <=> ? [B_x] :
% 163.46/163.50 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 163.46/163.50 & hBOOL(hAPP(hAPP(V_B_2,B_x),V_b_2)) ) ) ).
% 163.46/163.50
% 163.46/163.50 fof(fact_equals0D,axiom,
% 163.46/163.50 ! [V_a_2,T_b,V_A_2] :
% 163.46/163.50 ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.46/163.50 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ).
% 163.46/163.50
% 163.46/163.50 fof(fact_empty__iff,axiom,
% 163.46/163.50 ! [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)))) ).
% 163.46/163.50
% 163.46/163.50 fof(fact_ex__in__conv,axiom,
% 163.46/163.50 ! [V_A_2,T_b] :
% 163.46/163.50 ( ? [B_x] : hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 163.46/163.50 <=> V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 163.46/163.50
% 163.46/163.50 fof(fact_all__not__in__conv,axiom,
% 163.46/163.50 ! [V_A_2,T_b] :
% 163.46/163.50 ( ! [B_x] : ~ hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 163.46/163.50 <=> V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 163.46/163.50
% 163.46/163.50 fof(fact_insertI1,axiom,
% 163.46/163.50 ! [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))) ).
% 163.46/163.50
% 163.46/163.50 fof(fact_insert__iff,axiom,
% 163.46/163.50 ! [V_A_2,V_b_2,V_a_2,T_b] :
% 163.46/163.50 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),V_A_2)))
% 163.46/163.50 <=> ( V_a_2 = V_b_2
% 163.46/163.50 | hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ) ).
% 163.46/163.50
% 163.46/163.50 fof(fact_insert__subset,axiom,
% 163.46/163.50 ! [V_B_2,V_A_2,V_x_2,T_b] :
% 163.46/163.50 ( 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))
% 163.46/163.50 <=> ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2))
% 163.46/163.50 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ).
% 163.46/163.50
% 163.46/163.50 fof(fact_subset__insert,axiom,
% 163.46/163.50 ! [V_B_2,V_A_2,V_x_2,T_b] :
% 163.46/163.50 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 163.46/163.50 => ( 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)))
% 163.46/163.50 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ).
% 163.46/163.50
% 163.46/163.50 fof(fact_insert__ident,axiom,
% 163.46/163.50 ! [V_B_2,V_A_2,V_x_2,T_b] :
% 163.46/163.50 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 163.46/163.50 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2))
% 163.46/163.50 => ( 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)
% 163.46/163.50 <=> V_A_2 = V_B_2 ) ) ) ).
% 163.46/163.50
% 163.46/163.50 fof(fact_insertI2,axiom,
% 163.46/163.50 ! [V_b_2,V_B_2,V_a_2,T_b] :
% 163.46/163.50 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_B_2))
% 163.46/163.50 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),V_B_2))) ) ).
% 163.46/163.50
% 163.46/163.50 fof(fact_insert__absorb,axiom,
% 163.46/163.50 ! [V_A_2,V_a_2,T_b] :
% 163.46/163.50 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 163.46/163.50 => hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2) = V_A_2 ) ).
% 163.46/163.50
% 163.46/163.50 fof(fact_singleton__inject,axiom,
% 163.46/163.50 ! [V_b_2,V_a_2,T_b] :
% 163.46/163.50 ( 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)))
% 163.46/163.50 => V_a_2 = V_b_2 ) ).
% 163.46/163.50
% 163.46/163.50 fof(fact_doubleton__eq__iff,axiom,
% 163.46/163.50 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] :
% 163.46/163.50 ( 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))))
% 163.46/163.50 <=> ( ( V_a_2 = V_c_2
% 163.46/163.50 & V_b_2 = V_d_2 )
% 163.46/163.50 | ( V_a_2 = V_d_2
% 163.46/163.50 & V_b_2 = V_c_2 ) ) ) ).
% 163.46/163.50
% 163.46/163.50 fof(fact_insert__not__empty,axiom,
% 163.46/163.50 ! [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)) ).
% 163.46/163.50
% 163.46/163.50 fof(fact_empty__not__insert,axiom,
% 163.46/163.50 ! [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) ).
% 163.46/163.50
% 163.46/163.50 fof(fact_subset__singletonD,axiom,
% 163.46/163.50 ! [V_x_2,V_A_2,T_b] :
% 163.46/163.50 ( 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)))))
% 163.46/163.50 => ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.46/163.50 | 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))) ) ) ).
% 163.46/163.50
% 163.46/163.50 fof(fact_bot__empty__eq,axiom,
% 163.46/163.50 ! [V_x_2,T_b] :
% 163.46/163.50 ( hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)),V_x_2))
% 163.46/163.50 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) ) ).
% 163.46/163.50
% 163.46/163.50 fof(fact_the__elem__eq,axiom,
% 163.46/163.50 ! [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 ).
% 163.46/163.50
% 163.46/163.50 fof(fact_less__by__empty,axiom,
% 163.46/163.50 ! [V_B_2,T_b,V_A_2] :
% 163.46/163.50 ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool))
% 163.46/163.50 => 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)) ) ).
% 163.46/163.50
% 163.46/163.50 fof(fact_Powp__mono,axiom,
% 163.46/163.50 ! [V_B_2,V_A_2,T_b] :
% 163.46/163.50 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 163.46/163.50 => 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))) ) ).
% 163.46/163.50
% 163.46/163.50 fof(fact_UnionE,axiom,
% 163.46/163.50 ! [V_C_2,V_A_2,T_b] :
% 163.46/163.50 ( 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)))
% 163.46/163.50 => ~ ! [B_X] :
% 163.46/163.50 ( hBOOL(hAPP(hAPP(c_member(T_b),V_A_2),B_X))
% 163.46/163.50 => ~ hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_X),V_C_2)) ) ) ).
% 163.46/163.50
% 163.46/163.50 fof(fact_SUP2__E,axiom,
% 163.46/163.50 ! [V_c_2,V_b_2,V_B_2,V_A_2,T_d,T_c,T_b] :
% 163.46/163.50 ( 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))
% 163.46/163.50 => ~ ! [B_x] :
% 163.46/163.50 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 163.46/163.50 => ~ hBOOL(hAPP(hAPP(hAPP(V_B_2,B_x),V_b_2),V_c_2)) ) ) ).
% 163.46/163.50
% 163.46/163.50 fof(fact_INF2__I,axiom,
% 163.46/163.50 ! [T_d,T_c,V_c_2,V_b_2,V_B_2,V_A_2,T_b] :
% 163.46/163.50 ( ! [B_x] :
% 163.46/163.50 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 163.46/163.50 => hBOOL(hAPP(hAPP(hAPP(V_B_2,B_x),V_b_2),V_c_2)) )
% 163.46/163.50 => 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)) ) ).
% 163.46/163.50
% 163.46/163.50 fof(fact_fold__graph_H_Ointros_I2_J,axiom,
% 163.46/163.50 ! [V_y_2,V_z_2,V_f_2,T_c,V_A_2,V_x_2,T_b] :
% 163.46/163.50 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 163.46/163.50 => ( 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)
% 163.46/163.50 => 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)) ) ) ).
% 163.46/163.50
% 163.46/163.50 fof(fact_INT__anti__mono,axiom,
% 163.46/163.50 ! [V_g_2,V_f_2,T_c,V_A_2,V_B_2,T_b] :
% 163.46/163.50 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 163.46/163.50 => ( ! [B_x] :
% 163.46/163.50 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 163.46/163.50 => 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))) )
% 163.46/163.50 => 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))) ) ) ).
% 163.46/163.50
% 163.46/163.50 fof(fact_INT__greatest,axiom,
% 163.46/163.50 ! [V_B_2,V_C_2,T_c,V_A_2,T_b] :
% 163.46/163.50 ( ! [B_x] :
% 163.46/163.50 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 163.46/163.50 => 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))) )
% 163.46/163.50 => 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))) ) ).
% 163.46/163.50
% 163.46/163.50 fof(fact_UN__mono,axiom,
% 163.46/163.50 ! [V_g_2,V_f_2,T_c,V_B_2,V_A_2,T_b] :
% 163.46/163.50 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 163.46/163.50 => ( ! [B_x] :
% 163.46/163.50 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 163.46/163.50 => 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))) )
% 163.46/163.50 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(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_A_2),V_f_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_B_2),V_g_2))) ) ) ).
% 163.46/163.50
% 163.46/163.50 fof(fact_UN__least,axiom,
% 163.46/163.50 ! [V_C_2,V_B_2,T_c,V_A_2,T_b] :
% 163.46/163.50 ( ! [B_x] :
% 163.46/163.50 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 163.46/163.50 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(V_B_2,B_x)),V_C_2)) )
% 163.46/163.50 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(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_A_2),V_B_2)),V_C_2)) ) ).
% 163.46/163.50
% 163.46/163.50 fof(fact_DiffE,axiom,
% 163.46/163.50 ! [V_B_2,V_A_2,V_c_2,T_b] :
% 163.46/163.50 ( 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)))
% 163.46/163.50 => ~ ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2))
% 163.46/163.50 => hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ) ) ).
% 163.46/163.50
% 163.46/163.50 fof(fact_DiffI,axiom,
% 163.46/163.50 ! [V_B_2,V_A_2,V_c_2,T_b] :
% 163.46/163.50 ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2))
% 163.46/163.50 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2))
% 163.46/163.50 => 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))) ) ) ).
% 163.46/163.50
% 163.46/163.50 fof(fact_psubset__trans,axiom,
% 163.46/163.50 ! [V_C_2,V_B_2,V_A_2,T_b] :
% 163.46/163.50 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 163.46/163.50 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2))
% 163.46/163.50 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)) ) ) ).
% 163.46/163.50
% 163.46/163.50 fof(fact_Diff__idemp,axiom,
% 163.46/163.50 ! [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) ).
% 163.46/163.50
% 163.46/163.50 fof(fact_DiffD2,axiom,
% 163.46/163.50 ! [V_B_2,V_A_2,V_c_2,T_b] :
% 163.46/163.50 ( 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)))
% 163.46/163.50 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ) ).
% 163.46/163.50
% 163.46/163.50 fof(fact_DiffD1,axiom,
% 163.46/163.50 ! [V_B_2,V_A_2,V_c_2,T_b] :
% 163.46/163.50 ( 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)))
% 163.46/163.50 => hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) ) ).
% 163.46/163.50
% 163.46/163.50 fof(fact_Diff__iff,axiom,
% 163.46/163.50 ! [V_B_2,V_A_2,V_c_2,T_b] :
% 163.46/163.50 ( 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)))
% 163.46/163.50 <=> ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2))
% 163.46/163.50 & ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ) ) ).
% 163.46/163.50
% 163.46/163.50 fof(fact_empty__Diff,axiom,
% 163.46/163.50 ! [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)) ).
% 163.46/163.50
% 163.46/163.50 fof(fact_Diff__empty,axiom,
% 163.46/163.50 ! [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 ).
% 163.46/163.50
% 163.46/163.50 fof(fact_Diff__cancel,axiom,
% 163.46/163.50 ! [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)) ).
% 163.46/163.50
% 163.46/163.50 fof(fact_Diff__subset,axiom,
% 163.46/163.50 ! [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)) ).
% 163.46/163.50
% 163.46/163.50 fof(fact_Diff__mono,axiom,
% 163.46/163.50 ! [V_B_2,V_D_2,V_C_2,V_A_2,T_b] :
% 163.46/163.50 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2))
% 163.46/163.50 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_D_2),V_B_2))
% 163.46/163.50 => 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))) ) ) ).
% 163.46/163.50
% 163.46/163.50 fof(fact_double__diff,axiom,
% 163.46/163.50 ! [V_C_2,V_B_2,V_A_2,T_b] :
% 163.46/163.50 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 163.46/163.50 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2))
% 163.46/163.50 => 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 ) ) ).
% 163.46/163.50
% 163.46/163.50 fof(fact_UN__extend__simps_I6_J,axiom,
% 163.46/163.50 ! [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)) ).
% 163.46/163.50
% 163.46/163.50 fof(fact_UN__simps_I6_J,axiom,
% 163.46/163.50 ! [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) ).
% 163.46/163.50
% 163.46/163.50 fof(fact_insert__Diff1,axiom,
% 163.46/163.50 ! [V_A_2,V_B_2,V_x_2,T_b] :
% 163.46/163.50 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2))
% 163.46/163.50 => 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) ) ).
% 163.46/163.50
% 163.46/163.50 fof(fact_insert__Diff__if,axiom,
% 163.46/163.50 ! [V_A_2,V_B_2,V_x_2,T_b] :
% 163.46/163.50 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2))
% 163.46/163.50 => 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) )
% 163.46/163.50 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2))
% 163.46/163.50 => 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)) ) ) ).
% 163.46/163.50
% 163.46/163.50 fof(fact_Diff__insert,axiom,
% 163.46/163.50 ! [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)))) ).
% 163.46/163.50
% 163.46/163.50 fof(fact_Diff__insert2,axiom,
% 163.46/163.50 ! [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) ).
% 163.46/163.50
% 163.46/163.50 fof(fact_insert__Diff__single,axiom,
% 163.46/163.50 ! [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) ).
% 163.46/163.50
% 163.46/163.50 fof(fact_UN__extend__simps_I7_J,axiom,
% 163.46/163.50 ! [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)) ).
% 163.46/163.50
% 163.46/163.50 fof(fact_UN__simps_I7_J,axiom,
% 163.46/163.50 ! [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)) ).
% 163.46/163.50
% 163.46/163.50 fof(fact_Diff__insert__absorb,axiom,
% 163.46/163.50 ! [V_A_2,V_x_2,T_b] :
% 163.46/163.50 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 163.46/163.50 => 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 ) ).
% 163.46/163.50
% 163.46/163.50 fof(fact_insert__Diff,axiom,
% 163.46/163.50 ! [V_A_2,V_a_2,T_b] :
% 163.46/163.50 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 163.46/163.50 => 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 ) ).
% 163.46/163.50
% 163.46/163.50 fof(fact_INT__extend__simps_I4_J,axiom,
% 163.46/163.50 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] :
% 163.46/163.50 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.46/163.50 => 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 )
% 163.46/163.50 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.46/163.50 => 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)) ) ) ).
% 163.46/163.50
% 163.46/163.50 fof(fact_psubset__insert__iff,axiom,
% 163.46/163.50 ! [V_B_2,V_x_2,V_A_2,T_b] :
% 163.46/163.50 ( 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)))
% 163.46/163.50 <=> ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2))
% 163.46/163.50 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) )
% 163.46/163.50 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2))
% 163.46/163.50 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 163.46/163.50 => 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)) )
% 163.46/163.50 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 163.46/163.50 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ) ) ) ).
% 163.46/163.50
% 163.46/163.50 fof(fact_subset__insert__iff,axiom,
% 163.46/163.50 ! [V_B_2,V_x_2,V_A_2,T_b] :
% 163.46/163.50 ( 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)))
% 163.46/163.50 <=> ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 163.46/163.50 => 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)) )
% 163.46/163.50 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 163.46/163.50 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ) ).
% 163.46/163.50
% 163.46/163.50 fof(fact_diff__single__insert,axiom,
% 163.46/163.50 ! [V_B_2,V_x_2,V_A_2,T_b] :
% 163.46/163.50 ( 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))
% 163.46/163.50 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 163.46/163.50 => 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))) ) ) ).
% 163.46/163.50
% 163.46/163.50 fof(fact_fun__diff__def,axiom,
% 163.46/163.50 ! [V_x_2,V_B_2,V_A_2,T_c,T_b] :
% 163.46/163.50 ( class_Groups_Ominus(T_b)
% 163.46/163.50 => 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)) ) ).
% 163.46/163.50
% 163.46/163.50 fof(fact_minus__apply,axiom,
% 163.46/163.50 ! [V_x_2,V_B_2,V_A_2,T_c,T_b] :
% 163.46/163.50 ( class_Groups_Ominus(T_b)
% 163.46/163.50 => 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)) ) ).
% 163.46/163.50
% 163.46/163.50 fof(fact_fold__graph_H_Oequations_I2_J,axiom,
% 163.46/163.50 ! [V_a5_2,V_a1_2,V_a2_2,V_a4_2,V_a3_2,T_c,T_b] :
% 163.46/163.50 ( 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))
% 163.46/163.50 <=> ( ( V_a2_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.46/163.50 & hAPP(hAPP(V_a3_2,V_a1_2),V_a5_2) = V_a4_2 )
% 163.46/163.50 | ? [B_x,B_y] :
% 163.46/163.50 ( hAPP(hAPP(V_a3_2,V_a1_2),V_a5_2) = hAPP(hAPP(V_a3_2,B_x),B_y)
% 163.46/163.50 & hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_a2_2))
% 163.46/163.50 & 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) ) ) ) ).
% 163.46/163.50
% 163.46/163.50 fof(fact_diff__eq__diff__less,axiom,
% 163.46/163.50 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] :
% 163.46/163.50 ( class_Groups_Oordered__ab__group__add(T_b)
% 163.46/163.50 => ( 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)
% 163.46/163.50 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2))
% 163.46/163.50 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),V_d_2)) ) ) ) ).
% 163.46/163.50
% 163.46/163.50 fof(fact_diff__eq__diff__less__eq,axiom,
% 163.46/163.50 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] :
% 163.46/163.50 ( class_Groups_Oordered__ab__group__add(T_b)
% 163.46/163.50 => ( 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)
% 163.46/163.50 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2))
% 163.46/163.50 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_c_2),V_d_2)) ) ) ) ).
% 163.46/163.50
% 163.46/163.50 fof(fact_the__elem__def,axiom,
% 163.46/163.50 ! [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))))) ).
% 163.46/163.50
% 163.46/163.50 fof(fact_Powp__Pow__eq,axiom,
% 163.46/163.50 ! [V_x_2,V_A_2,T_b] :
% 163.46/163.50 ( 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))
% 163.46/163.50 <=> hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_x_2),hAPP(c_Set_OPow(T_b),V_A_2))) ) ).
% 163.46/163.50
% 163.46/163.50 fof(fact_INT__simps_I4_J,axiom,
% 163.46/163.50 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] :
% 163.46/163.50 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.46/163.50 => 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)) )
% 163.46/163.50 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.46/163.50 => 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)) ) ) ).
% 163.46/163.50
% 163.46/163.50 fof(fact_le__INFI,axiom,
% 163.46/163.50 ! [V_M_2,V_u_2,V_A_2,T_b,T_c] :
% 163.46/163.50 ( class_Complete__Lattice_Ocomplete__lattice(T_c)
% 163.46/163.50 => ( ! [B_i] :
% 163.46/163.50 ( hBOOL(hAPP(hAPP(c_member(T_b),B_i),V_A_2))
% 163.46/163.50 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),V_u_2),hAPP(V_M_2,B_i))) )
% 163.46/163.50 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),V_u_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,T_c),V_A_2),V_M_2))) ) ) ).
% 163.46/163.50
% 163.46/163.50 fof(fact_SUP__leI,axiom,
% 163.46/163.50 ! [V_u_2,V_M_2,V_A_2,T_b,T_c] :
% 163.46/163.50 ( class_Complete__Lattice_Ocomplete__lattice(T_c)
% 163.46/163.50 => ( ! [B_i] :
% 163.46/163.50 ( hBOOL(hAPP(hAPP(c_member(T_b),B_i),V_A_2))
% 163.46/163.51 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(V_M_2,B_i)),V_u_2)) )
% 163.46/163.51 => 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_M_2)),V_u_2)) ) ) ).
% 163.46/163.51
% 163.46/163.51 fof(fact_Id__on__def,axiom,
% 163.46/163.51 ! [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)))) ).
% 163.46/163.51
% 163.46/163.51 fof(fact_top1I,axiom,
% 163.46/163.51 ! [V_x_2,T_b] : hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),V_x_2)) ).
% 163.46/163.51
% 163.46/163.51 fof(fact_UNIV__I,axiom,
% 163.46/163.51 ! [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)))) ).
% 163.46/163.51
% 163.46/163.51 fof(fact_PowI,axiom,
% 163.46/163.51 ! [V_B_2,V_A_2,T_b] :
% 163.46/163.51 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 163.46/163.51 => hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Set_OPow(T_b),V_B_2))) ) ).
% 163.46/163.51
% 163.46/163.51 fof(fact_top__apply,axiom,
% 163.46/163.51 ! [V_x_2,T_c,T_b] :
% 163.46/163.51 ( class_Orderings_Otop(T_b)
% 163.46/163.51 => hAPP(c_Orderings_Otop__class_Otop(tc_fun(T_c,T_b)),V_x_2) = c_Orderings_Otop__class_Otop(T_b) ) ).
% 163.46/163.51
% 163.46/163.51 fof(fact_Pow__UNIV,axiom,
% 163.46/163.51 ! [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)) ).
% 163.46/163.51
% 163.46/163.51 fof(fact_pred__equals__eq2,axiom,
% 163.46/163.51 ! [V_S_2,V_R_2,T_c,T_b] :
% 163.46/163.51 ( 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)
% 163.46/163.51 <=> V_R_2 = V_S_2 ) ).
% 163.46/163.51
% 163.46/163.51 fof(fact_Union__UNIV,axiom,
% 163.46/163.51 ! [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)) ).
% 163.46/163.51
% 163.46/163.51 fof(fact_Sup__UNIV,axiom,
% 163.46/163.51 ! [T_b] :
% 163.46/163.51 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 163.46/163.51 => 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) ) ).
% 163.46/163.51
% 163.46/163.51 fof(fact_UNIV__not__empty,axiom,
% 163.46/163.51 ! [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)) ).
% 163.46/163.51
% 163.46/163.51 fof(fact_subset__UNIV,axiom,
% 163.46/163.51 ! [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)))) ).
% 163.46/163.51
% 163.46/163.51 fof(fact_converseD,axiom,
% 163.46/163.51 ! [V_r_2,V_b_2,V_a_2,T_c,T_b] :
% 163.46/163.51 ( 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)))
% 163.46/163.51 => 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)) ) ).
% 163.46/163.51
% 163.46/163.51 fof(fact_converseI,axiom,
% 163.46/163.51 ! [V_r_2,V_b_2,V_a_2,T_c,T_b] :
% 163.46/163.51 ( 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))
% 163.46/163.51 => 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))) ) ).
% 163.46/163.51
% 163.46/163.51 fof(fact_converse__iff,axiom,
% 163.46/163.51 ! [V_r_2,V_b_2,V_a_2,T_c,T_b] :
% 163.46/163.51 ( 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)))
% 163.46/163.51 <=> 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)) ) ).
% 163.46/163.51
% 163.46/163.51 fof(fact_Pow__top,axiom,
% 163.46/163.51 ! [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))) ).
% 163.46/163.51
% 163.46/163.51 fof(fact_Union__Pow__eq,axiom,
% 163.46/163.51 ! [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 ).
% 163.46/163.51
% 163.46/163.51 fof(fact_SUP__UN__eq2,axiom,
% 163.46/163.51 ! [V_y_2,V_x_2,V_r_2,T_d,T_c,T_b] :
% 163.46/163.51 ( 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))
% 163.46/163.51 <=> 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))) ) ).
% 163.46/163.51
% 163.46/163.51 fof(fact_pred__subset__eq2,axiom,
% 163.46/163.51 ! [V_S_2,V_R_2,T_c,T_b] :
% 163.46/163.51 ( 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)))
% 163.46/163.51 <=> 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)) ) ).
% 163.46/163.51
% 163.46/163.51 fof(fact_bot__empty__eq2,axiom,
% 163.46/163.51 ! [V_y_2,V_x_2,T_c,T_b] :
% 163.46/163.51 ( 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))
% 163.46/163.51 <=> 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)))) ) ).
% 163.46/163.51
% 163.46/163.51 fof(fact_INTER__UNIV__conv_I1_J,axiom,
% 163.46/163.51 ! [V_B_2,V_A_2,T_c,T_b] :
% 163.46/163.51 ( 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)
% 163.46/163.51 <=> ! [B_x] :
% 163.46/163.51 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 163.46/163.51 => hAPP(V_B_2,B_x) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ) ) ).
% 163.46/163.51
% 163.46/163.51 fof(fact_INTER__UNIV__conv_I2_J,axiom,
% 163.46/163.51 ! [V_B_2,V_A_2,T_b,T_c] :
% 163.46/163.51 ( 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))
% 163.46/163.51 <=> ! [B_x] :
% 163.46/163.51 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 163.46/163.51 => hAPP(V_B_2,B_x) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ) ) ).
% 163.46/163.51
% 163.46/163.51 fof(fact_top__greatest,axiom,
% 163.46/163.51 ! [V_x,T_a] :
% 163.46/163.51 ( class_Orderings_Otop(T_a)
% 163.46/163.51 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),c_Orderings_Otop__class_Otop(T_a))) ) ).
% 163.46/163.51
% 163.46/163.51 fof(fact_total__on__def,axiom,
% 163.46/163.51 ! [V_r_2,V_A_2,T_b] :
% 163.46/163.51 ( c_Relation_Ototal__on(T_b,V_A_2,V_r_2)
% 163.46/163.51 <=> ! [B_x] :
% 163.46/163.51 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 163.46/163.51 => ! [B_xa] :
% 163.46/163.51 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_A_2))
% 163.46/163.51 => ( B_x != B_xa
% 163.46/163.51 => ( 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))
% 163.46/163.51 | 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)) ) ) ) ) ) ).
% 163.46/163.51
% 163.46/163.51 fof(fact_Pow__not__empty,axiom,
% 163.46/163.51 ! [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)) ).
% 163.46/163.51
% 163.46/163.51 fof(fact_INF__INT__eq2,axiom,
% 163.46/163.51 ! [V_y_2,V_x_2,V_r_2,T_d,T_c,T_b] :
% 163.46/163.51 ( 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))
% 163.46/163.51 <=> 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))) ) ).
% 163.46/163.51
% 163.46/163.51 fof(fact_Pow__INT__eq,axiom,
% 163.46/163.51 ! [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)) ).
% 163.46/163.51
% 163.46/163.51 fof(fact_Diff__UNIV,axiom,
% 163.46/163.51 ! [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)) ).
% 163.46/163.51
% 163.46/163.51 fof(fact_Id__on__eqI,axiom,
% 163.46/163.51 ! [V_A_2,T_b,V_b_2,V_a_2] :
% 163.46/163.51 ( V_a_2 = V_b_2
% 163.46/163.51 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 163.46/163.51 => 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))) ) ) ).
% 163.46/163.51
% 163.46/163.51 fof(fact_Id__on__iff,axiom,
% 163.46/163.51 ! [V_A_2,V_y_2,V_x_2,T_b] :
% 163.46/163.51 ( 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)))
% 163.46/163.51 <=> ( V_x_2 = V_y_2
% 163.46/163.51 & hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) ) ) ).
% 163.46/163.51
% 163.46/163.51 fof(fact_Pow__bottom,axiom,
% 163.46/163.51 ! [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))) ).
% 163.46/163.51
% 163.46/163.51 fof(fact_PowD,axiom,
% 163.46/163.51 ! [V_B_2,V_A_2,T_b] :
% 163.46/163.51 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Set_OPow(T_b),V_B_2)))
% 163.46/163.51 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ).
% 163.46/163.51
% 163.46/163.51 fof(fact_Pow__iff,axiom,
% 163.46/163.51 ! [V_B_2,V_A_2,T_b] :
% 163.46/163.51 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Set_OPow(T_b),V_B_2)))
% 163.46/163.51 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ).
% 163.46/163.51
% 163.46/163.51 fof(fact_SUP__UN__eq,axiom,
% 163.46/163.51 ! [V_x_2,V_r_2,T_c,T_b] :
% 163.46/163.51 ( 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))
% 163.46/163.51 <=> 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))) ) ).
% 163.46/163.51
% 163.46/163.51 fof(fact_INF__INT__eq,axiom,
% 163.46/163.51 ! [V_x_2,V_r_2,T_c,T_b] :
% 163.46/163.51 ( 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))
% 163.46/163.51 <=> 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))) ) ).
% 163.46/163.51
% 163.46/163.51 fof(fact_INT__constant,axiom,
% 163.46/163.51 ! [V_c_2,T_c,T_b,V_A_2] :
% 163.46/163.51 ( ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.46/163.51 => 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)) )
% 163.46/163.51 & ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.46/163.51 => 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 ) ) ).
% 163.46/163.51
% 163.46/163.51 fof(fact_INT__empty,axiom,
% 163.46/163.51 ! [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)) ).
% 163.46/163.51
% 163.46/163.51 fof(fact_Pow__empty,axiom,
% 163.46/163.51 ! [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))) ).
% 163.46/163.51
% 163.46/163.51 fof(fact_Pow__mono,axiom,
% 163.46/163.51 ! [V_B_2,V_A_2,T_b] :
% 163.46/163.51 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 163.46/163.51 => 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))) ) ).
% 163.46/163.51
% 163.46/163.51 fof(fact_subset__Pow__Union,axiom,
% 163.46/163.51 ! [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)))) ).
% 163.46/163.51
% 163.46/163.51 fof(fact_UN__Pow__subset,axiom,
% 163.46/163.51 ! [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)))) ).
% 163.46/163.51
% 163.46/163.51 fof(fact_diff__eq__diff__eq,axiom,
% 163.46/163.51 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] :
% 163.46/163.51 ( class_Groups_Oab__group__add(T_b)
% 163.46/163.51 => ( 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)
% 163.46/163.51 => ( V_a_2 = V_b_2
% 163.46/163.51 <=> V_c_2 = V_d_2 ) ) ) ).
% 163.46/163.51
% 163.46/163.51 fof(fact_INT__simps_I3_J,axiom,
% 163.46/163.51 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] :
% 163.46/163.51 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.46/163.51 => 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)) )
% 163.46/163.51 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.46/163.51 => 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) ) ) ).
% 163.46/163.51
% 163.46/163.51 fof(fact_INT__extend__simps_I3_J,axiom,
% 163.46/163.51 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] :
% 163.46/163.51 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.46/163.51 => 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) )
% 163.46/163.51 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.46/163.51 => 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)) ) ) ).
% 163.46/163.51
% 163.46/163.51 fof(fact_in__rel__def,axiom,
% 163.46/163.51 ! [V_y_2,V_x_2,V_R_2,T_c,T_b] :
% 163.46/163.51 ( hBOOL(hAPP(hAPP(c_FunDef_Oin__rel(T_b,T_c,V_R_2),V_x_2),V_y_2))
% 163.46/163.51 <=> 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)) ) ).
% 163.46/163.51
% 163.46/163.51 fof(fact_Nitpick_Orefl_H__def,axiom,
% 163.46/163.51 ! [V_r_2,T_b] :
% 163.46/163.51 ( c_Nitpick_Orefl_H(T_b,V_r_2)
% 163.46/163.51 <=> ! [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)) ) ).
% 163.46/163.51
% 163.46/163.51 fof(fact_flat__lub__def,axiom,
% 163.46/163.51 ! [V_b_2,V_A_2,T_b] :
% 163.46/163.51 ( ( 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)))))
% 163.46/163.51 => c_Partial__Function_Oflat__lub(T_b,V_b_2,V_A_2) = V_b_2 )
% 163.46/163.51 & ( ~ 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)))))
% 163.46/163.51 => 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)))))) ) ) ).
% 163.46/163.51
% 163.46/163.51 fof(fact_iso__tuple__UNIV__I,axiom,
% 163.46/163.51 ! [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)))) ).
% 163.46/163.51
% 163.46/163.51 fof(fact_the__sym__eq__trivial,axiom,
% 163.46/163.51 ! [V_x_2,T_b] : c_HOL_OThe(T_b,hAPP(c_fequal,V_x_2)) = V_x_2 ).
% 163.46/163.51
% 163.46/163.51 fof(fact_the__eq__trivial,axiom,
% 163.46/163.51 ! [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 ).
% 163.46/163.51
% 163.46/163.51 fof(fact_Field__insert,axiom,
% 163.46/163.51 ! [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)) ).
% 163.46/163.51
% 163.46/163.51 fof(fact_Id__onE,axiom,
% 163.46/163.51 ! [V_A_2,V_c_2,T_b] :
% 163.46/163.51 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_c_2),c_Relation_OId__on(T_b,V_A_2)))
% 163.46/163.51 => ~ ! [B_x] :
% 163.46/163.51 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 163.46/163.51 => V_c_2 != hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_x) ) ) ).
% 163.46/163.51
% 163.46/163.51 fof(fact_irrefl__def,axiom,
% 163.46/163.51 ! [V_r_2,T_b] :
% 163.46/163.51 ( c_Relation_Oirrefl(T_b,V_r_2)
% 163.46/163.51 <=> ! [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)) ) ).
% 163.46/163.51
% 163.46/163.51 fof(fact_the__inv__into__def,axiom,
% 163.46/163.51 ! [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))) ).
% 163.46/163.51
% 163.46/163.51 fof(fact_Image__singleton__iff,axiom,
% 163.46/163.51 ! [V_a_2,V_r_2,T_c,V_b_2,T_b] :
% 163.46/163.51 ( 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))))))
% 163.46/163.51 <=> 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)) ) ).
% 163.46/163.51
% 163.46/163.51 fof(fact_sup1E,axiom,
% 163.46/163.51 ! [V_x_2,V_B_2,V_A_2,T_b] :
% 163.46/163.51 ( 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))
% 163.46/163.51 => ( ~ hBOOL(hAPP(V_A_2,V_x_2))
% 163.46/163.51 => hBOOL(hAPP(V_B_2,V_x_2)) ) ) ).
% 163.46/163.51
% 163.46/163.51 fof(fact_sup1CI,axiom,
% 163.46/163.51 ! [T_b,V_A_2,V_x_2,V_B_2] :
% 163.46/163.51 ( ( ~ hBOOL(hAPP(V_B_2,V_x_2))
% 163.46/163.51 => hBOOL(hAPP(V_A_2,V_x_2)) )
% 163.46/163.51 => 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)) ) ).
% 163.46/163.51
% 163.46/163.51 fof(fact_UnCI,axiom,
% 163.46/163.51 ! [V_A_2,V_B_2,V_c_2,T_b] :
% 163.46/163.51 ( ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2))
% 163.46/163.51 => hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) )
% 163.46/163.51 => 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))) ) ).
% 163.46/163.51
% 163.46/163.51 fof(fact_UnE,axiom,
% 163.46/163.51 ! [V_B_2,V_A_2,V_c_2,T_b] :
% 163.46/163.51 ( 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)))
% 163.46/163.51 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2))
% 163.46/163.51 => hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ) ) ).
% 163.46/163.51
% 163.46/163.51 fof(fact_bot2E,axiom,
% 163.46/163.51 ! [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)) ).
% 163.46/163.51
% 163.46/163.51 fof(fact_sup_Oidem,axiom,
% 163.46/163.51 ! [V_a,T_a] :
% 163.46/163.51 ( class_Lattices_Osemilattice__sup(T_a)
% 163.46/163.51 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_a),V_a) = V_a ) ).
% 163.46/163.51
% 163.46/163.51 fof(fact_sup__idem,axiom,
% 163.46/163.51 ! [V_x,T_a] :
% 163.46/163.51 ( class_Lattices_Osemilattice__sup(T_a)
% 163.46/163.51 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_x) = V_x ) ).
% 163.46/163.51
% 163.46/163.51 fof(fact_sup__fun__def,axiom,
% 163.46/163.51 ! [V_x_2,V_g_2,V_f_2,T_c,T_b] :
% 163.46/163.51 ( class_Lattices_Olattice(T_b)
% 163.46/163.51 => 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)) ) ).
% 163.46/163.51
% 163.46/163.51 fof(fact_sup_Ocommute,axiom,
% 163.46/163.51 ! [V_b,V_a,T_a] :
% 163.46/163.51 ( class_Lattices_Osemilattice__sup(T_a)
% 163.46/163.51 => 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) ) ).
% 163.46/163.51
% 163.46/163.51 fof(fact_inf__sup__aci_I5_J,axiom,
% 163.46/163.51 ! [V_y,V_x,T_a] :
% 163.46/163.51 ( class_Lattices_Olattice(T_a)
% 163.46/163.51 => 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) ) ).
% 163.46/163.51
% 163.46/163.51 fof(fact_sup__commute,axiom,
% 163.46/163.51 ! [V_y,V_x,T_a] :
% 163.46/163.51 ( class_Lattices_Osemilattice__sup(T_a)
% 163.46/163.51 => 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) ) ).
% 163.46/163.51
% 163.46/163.51 fof(fact_sup_Oleft__idem,axiom,
% 163.46/163.51 ! [V_b,V_a,T_a] :
% 163.46/163.51 ( class_Lattices_Osemilattice__sup(T_a)
% 163.46/163.51 => 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) ) ).
% 163.46/163.51
% 163.46/163.51 fof(fact_inf__sup__aci_I8_J,axiom,
% 163.46/163.51 ! [V_y,V_x,T_a] :
% 163.46/163.51 ( class_Lattices_Olattice(T_a)
% 163.46/163.51 => 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) ) ).
% 163.46/163.51
% 163.46/163.51 fof(fact_sup__left__idem,axiom,
% 163.46/163.51 ! [V_y,V_x,T_a] :
% 163.46/163.51 ( class_Lattices_Osemilattice__sup(T_a)
% 163.46/163.51 => 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) ) ).
% 163.46/163.51
% 163.46/163.51 fof(fact_sup_Oleft__commute,axiom,
% 163.46/163.51 ! [V_c,V_a,V_b,T_a] :
% 163.46/163.51 ( class_Lattices_Osemilattice__sup(T_a)
% 163.46/163.51 => 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)) ) ).
% 163.46/163.51
% 163.46/163.51 fof(fact_inf__sup__aci_I7_J,axiom,
% 163.46/163.51 ! [V_z,V_y,V_x,T_a] :
% 163.46/163.51 ( class_Lattices_Olattice(T_a)
% 163.46/163.51 => 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)) ) ).
% 163.46/163.51
% 163.46/163.51 fof(fact_sup__left__commute,axiom,
% 163.46/163.51 ! [V_z,V_y,V_x,T_a] :
% 163.46/163.51 ( class_Lattices_Osemilattice__sup(T_a)
% 163.46/163.51 => 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)) ) ).
% 163.46/163.51
% 163.46/163.51 fof(fact_sup_Oassoc,axiom,
% 163.46/163.51 ! [V_c,V_b,V_a,T_a] :
% 163.46/163.51 ( class_Lattices_Osemilattice__sup(T_a)
% 163.46/163.51 => 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)) ) ).
% 163.46/163.51
% 163.46/163.51 fof(fact_inf__sup__aci_I6_J,axiom,
% 163.46/163.51 ! [V_z,V_y,V_x,T_a] :
% 163.46/163.51 ( class_Lattices_Olattice(T_a)
% 163.46/163.51 => 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)) ) ).
% 163.46/163.51
% 163.46/163.51 fof(fact_sup__assoc,axiom,
% 163.46/163.51 ! [V_z,V_y,V_x,T_a] :
% 163.46/163.51 ( class_Lattices_Osemilattice__sup(T_a)
% 163.46/163.51 => 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)) ) ).
% 163.46/163.51
% 163.46/163.51 fof(fact_sup__apply,axiom,
% 163.46/163.51 ! [V_x_2,V_g_2,V_f_2,T_c,T_b] :
% 163.46/163.51 ( class_Lattices_Olattice(T_b)
% 163.46/163.51 => 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)) ) ).
% 163.46/163.51
% 163.46/163.51 fof(fact_rev__predicate2D,axiom,
% 163.46/163.51 ! [V_Q_2,T_c,T_b,V_y_2,V_x_2,V_P_2] :
% 163.46/163.51 ( hBOOL(hAPP(hAPP(V_P_2,V_x_2),V_y_2))
% 163.46/163.51 => ( 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))
% 163.46/163.51 => hBOOL(hAPP(hAPP(V_Q_2,V_x_2),V_y_2)) ) ) ).
% 163.46/163.51
% 163.46/163.51 fof(fact_predicate2D,axiom,
% 163.46/163.51 ! [V_y_2,V_x_2,V_Q_2,V_P_2,T_c,T_b] :
% 163.46/163.51 ( 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))
% 163.46/163.51 => ( hBOOL(hAPP(hAPP(V_P_2,V_x_2),V_y_2))
% 163.46/163.51 => hBOOL(hAPP(hAPP(V_Q_2,V_x_2),V_y_2)) ) ) ).
% 163.46/163.51
% 163.46/163.51 fof(fact_Un__absorb,axiom,
% 163.46/163.51 ! [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 ).
% 163.46/163.51
% 163.46/163.51 fof(fact_Un__commute,axiom,
% 163.46/163.51 ! [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) ).
% 163.46/163.51
% 163.46/163.51 fof(fact_Un__left__absorb,axiom,
% 163.46/163.51 ! [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) ).
% 163.46/163.51
% 163.46/163.51 fof(fact_Un__left__commute,axiom,
% 163.46/163.51 ! [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)) ).
% 163.46/163.51
% 163.46/163.51 fof(fact_Un__assoc,axiom,
% 163.46/163.51 ! [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)) ).
% 163.46/163.51
% 163.46/163.51 fof(fact_bex__Un,axiom,
% 163.46/163.51 ! [V_P_2,V_B_2,V_A_2,T_b] :
% 163.46/163.51 ( ? [B_x] :
% 163.46/163.51 ( 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)))
% 163.46/163.51 & hBOOL(hAPP(V_P_2,B_x)) )
% 163.46/163.51 <=> ( ? [B_x] :
% 163.46/163.51 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 163.46/163.51 & hBOOL(hAPP(V_P_2,B_x)) )
% 163.46/163.51 | ? [B_x] :
% 163.46/163.51 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_B_2))
% 163.46/163.51 & hBOOL(hAPP(V_P_2,B_x)) ) ) ) ).
% 163.46/163.51
% 163.46/163.51 fof(fact_ball__Un,axiom,
% 163.46/163.51 ! [V_P_2,V_B_2,V_A_2,T_b] :
% 163.46/163.51 ( ! [B_x] :
% 163.46/163.51 ( 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)))
% 163.46/163.51 => hBOOL(hAPP(V_P_2,B_x)) )
% 163.46/163.51 <=> ( ! [B_x] :
% 163.46/163.51 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 163.46/163.51 => hBOOL(hAPP(V_P_2,B_x)) )
% 163.46/163.51 & ! [B_x] :
% 163.46/163.51 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_B_2))
% 163.46/163.51 => hBOOL(hAPP(V_P_2,B_x)) ) ) ) ).
% 163.46/163.51
% 163.46/163.51 fof(fact_sup1I1,axiom,
% 163.46/163.51 ! [V_B_2,T_b,V_x_2,V_A_2] :
% 163.46/163.51 ( hBOOL(hAPP(V_A_2,V_x_2))
% 163.46/163.51 => 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)) ) ).
% 163.46/163.51
% 163.46/163.51 fof(fact_sup1I2,axiom,
% 163.46/163.51 ! [V_A_2,T_b,V_x_2,V_B_2] :
% 163.46/163.51 ( hBOOL(hAPP(V_B_2,V_x_2))
% 163.46/163.51 => 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)) ) ).
% 163.46/163.51
% 163.46/163.51 fof(fact_Image__Un,axiom,
% 163.46/163.51 ! [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)) ).
% 163.46/163.51
% 163.46/163.51 fof(fact_Un__Image,axiom,
% 163.46/163.51 ! [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)) ).
% 163.46/163.51
% 163.46/163.51 fof(fact_Union__Un__distrib,axiom,
% 163.46/163.51 ! [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)) ).
% 163.46/163.51
% 163.46/163.51 fof(fact_Field__Un,axiom,
% 163.46/163.51 ! [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)) ).
% 163.46/163.51
% 163.46/163.51 fof(fact_le__supE,axiom,
% 163.46/163.51 ! [V_x,V_b,V_a,T_a] :
% 163.46/163.51 ( class_Lattices_Osemilattice__sup(T_a)
% 163.46/163.51 => ( 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))
% 163.46/163.51 => ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_x))
% 163.46/163.51 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_x)) ) ) ) ).
% 163.46/163.51
% 163.46/163.51 fof(fact_sup__mono,axiom,
% 163.46/163.51 ! [V_d,V_b,V_c,V_a,T_a] :
% 163.46/163.51 ( class_Lattices_Osemilattice__sup(T_a)
% 163.46/163.51 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_c))
% 163.46/163.51 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_d))
% 163.46/163.51 => 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))) ) ) ) ).
% 163.46/163.51
% 163.46/163.51 fof(fact_sup__least,axiom,
% 163.46/163.51 ! [V_z,V_x,V_y,T_a] :
% 163.46/163.51 ( class_Lattices_Osemilattice__sup(T_a)
% 163.46/163.51 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 163.46/163.51 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_z),V_x))
% 163.46/163.51 => 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)) ) ) ) ).
% 163.46/163.51
% 163.46/163.51 fof(fact_le__supI,axiom,
% 163.46/163.51 ! [V_b,V_x,V_a,T_a] :
% 163.46/163.51 ( class_Lattices_Osemilattice__sup(T_a)
% 163.46/163.51 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_x))
% 163.46/163.51 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_x))
% 163.46/163.51 => 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)) ) ) ) ).
% 163.46/163.51
% 163.46/163.51 fof(fact_sup__absorb1,axiom,
% 163.46/163.51 ! [V_x,V_y,T_a] :
% 163.46/163.51 ( class_Lattices_Osemilattice__sup(T_a)
% 163.46/163.51 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 163.46/163.51 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_y) = V_x ) ) ).
% 163.46/163.51
% 163.46/163.51 fof(fact_sup__absorb2,axiom,
% 163.46/163.51 ! [V_y,V_x,T_a] :
% 163.46/163.51 ( class_Lattices_Osemilattice__sup(T_a)
% 163.46/163.51 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 163.46/163.51 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_y) = V_y ) ) ).
% 163.46/163.51
% 163.46/163.51 fof(fact_le__supI2,axiom,
% 163.46/163.51 ! [V_a,V_b,V_x,T_a] :
% 163.46/163.51 ( class_Lattices_Osemilattice__sup(T_a)
% 163.46/163.51 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_b))
% 163.46/163.51 => 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))) ) ) ).
% 163.46/163.51
% 163.46/163.51 fof(fact_le__supI1,axiom,
% 163.46/163.51 ! [V_b,V_a,V_x,T_a] :
% 163.46/163.51 ( class_Lattices_Osemilattice__sup(T_a)
% 163.46/163.51 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_a))
% 163.46/163.51 => 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))) ) ) ).
% 163.46/163.51
% 163.46/163.51 fof(fact_le__sup__iff,axiom,
% 163.46/163.51 ! [V_z_2,V_y_2,V_x_2,T_b] :
% 163.46/163.51 ( class_Lattices_Osemilattice__sup(T_b)
% 163.46/163.51 => ( 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))
% 163.46/163.51 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_z_2))
% 163.46/163.51 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_z_2)) ) ) ) ).
% 163.46/163.51
% 163.46/163.51 fof(fact_le__iff__sup,axiom,
% 163.46/163.51 ! [V_y_2,V_x_2,T_b] :
% 163.46/163.51 ( class_Lattices_Osemilattice__sup(T_b)
% 163.46/163.51 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 163.46/163.51 <=> hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_x_2),V_y_2) = V_y_2 ) ) ).
% 163.46/163.51
% 163.46/163.51 fof(fact_sup__ge2,axiom,
% 163.46/163.51 ! [V_x,V_y,T_a] :
% 163.46/163.51 ( class_Lattices_Osemilattice__sup(T_a)
% 163.46/163.51 => 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))) ) ).
% 163.46/163.51
% 163.46/163.51 fof(fact_inf__sup__ord_I4_J,axiom,
% 163.46/163.51 ! [V_x,V_y,T_a] :
% 163.46/163.51 ( class_Lattices_Olattice(T_a)
% 163.46/163.51 => 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))) ) ).
% 163.46/163.51
% 163.46/163.51 fof(fact_sup__ge1,axiom,
% 163.46/163.51 ! [V_y,V_x,T_a] :
% 163.46/163.51 ( class_Lattices_Osemilattice__sup(T_a)
% 163.46/163.51 => 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))) ) ).
% 163.46/163.51
% 163.46/163.51 fof(fact_inf__sup__ord_I3_J,axiom,
% 163.46/163.51 ! [V_y,V_x,T_a] :
% 163.46/163.51 ( class_Lattices_Olattice(T_a)
% 163.46/163.51 => 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))) ) ).
% 163.46/163.51
% 163.46/163.51 fof(fact_less__supI2,axiom,
% 163.46/163.51 ! [V_a,V_b,V_x,T_a] :
% 163.46/163.51 ( class_Lattices_Osemilattice__sup(T_a)
% 163.46/163.51 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_b))
% 163.46/163.51 => 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))) ) ) ).
% 163.46/163.51
% 163.46/163.51 fof(fact_less__supI1,axiom,
% 163.46/163.51 ! [V_b,V_a,V_x,T_a] :
% 163.46/163.51 ( class_Lattices_Osemilattice__sup(T_a)
% 163.46/163.51 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_a))
% 163.46/163.51 => 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))) ) ) ).
% 163.46/163.51
% 163.46/163.51 fof(fact_sup__bot__left,axiom,
% 163.46/163.51 ! [V_x,T_a] :
% 163.46/163.51 ( class_Lattices_Obounded__lattice__bot(T_a)
% 163.46/163.51 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),c_Orderings_Obot__class_Obot(T_a)),V_x) = V_x ) ).
% 163.46/163.51
% 163.46/163.51 fof(fact_sup__bot__right,axiom,
% 163.46/163.51 ! [V_x,T_a] :
% 163.46/163.51 ( class_Lattices_Obounded__lattice__bot(T_a)
% 163.46/163.51 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),c_Orderings_Obot__class_Obot(T_a)) = V_x ) ).
% 163.46/163.51
% 163.46/163.51 fof(fact_sup__eq__bot__iff,axiom,
% 163.46/163.51 ! [V_y_2,V_x_2,T_b] :
% 163.46/163.51 ( class_Lattices_Obounded__lattice__bot(T_b)
% 163.46/163.51 => ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_x_2),V_y_2) = c_Orderings_Obot__class_Obot(T_b)
% 163.46/163.51 <=> ( V_x_2 = c_Orderings_Obot__class_Obot(T_b)
% 163.46/163.51 & V_y_2 = c_Orderings_Obot__class_Obot(T_b) ) ) ) ).
% 163.46/163.51
% 163.46/163.51 fof(fact_sup__top__right,axiom,
% 163.46/163.51 ! [V_x,T_a] :
% 163.46/163.51 ( class_Lattices_Obounded__lattice__top(T_a)
% 163.46/163.51 => 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) ) ).
% 163.46/163.51
% 163.46/163.51 fof(fact_sup__top__left,axiom,
% 163.46/163.51 ! [V_x,T_a] :
% 163.46/163.51 ( class_Lattices_Obounded__lattice__top(T_a)
% 163.46/163.51 => 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) ) ).
% 163.46/163.51
% 163.46/163.51 fof(fact_UnI2,axiom,
% 163.46/163.51 ! [V_A_2,V_B_2,V_c_2,T_b] :
% 163.46/163.51 ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2))
% 163.46/163.51 => 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))) ) ).
% 163.46/163.51
% 163.46/163.51 fof(fact_UnI1,axiom,
% 163.46/163.51 ! [V_B_2,V_A_2,V_c_2,T_b] :
% 163.46/163.51 ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2))
% 163.46/163.51 => 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))) ) ).
% 163.46/163.51
% 163.46/163.51 fof(fact_Un__iff,axiom,
% 163.46/163.51 ! [V_B_2,V_A_2,V_c_2,T_b] :
% 163.46/163.51 ( 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)))
% 163.46/163.51 <=> ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2))
% 163.46/163.51 | hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ) ) ).
% 163.46/163.51
% 163.46/163.51 fof(fact_Un__empty__left,axiom,
% 163.46/163.51 ! [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 ).
% 163.46/163.51
% 163.46/163.51 fof(fact_Un__empty__right,axiom,
% 163.46/163.51 ! [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 ).
% 163.46/163.51
% 163.46/163.51 fof(fact_Un__empty,axiom,
% 163.46/163.51 ! [V_B_2,V_A_2,T_b] :
% 163.46/163.51 ( 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))
% 163.46/163.51 <=> ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.46/163.51 & V_B_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ).
% 163.46/163.51
% 163.46/163.51 fof(fact_Un__insert__left,axiom,
% 163.46/163.51 ! [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)) ).
% 163.46/163.51
% 163.46/163.51 fof(fact_Un__insert__right,axiom,
% 163.46/163.51 ! [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)) ).
% 163.46/163.51
% 163.46/163.51 fof(fact_Un__upper1,axiom,
% 163.46/163.51 ! [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))) ).
% 163.46/163.51
% 163.46/163.51 fof(fact_Un__upper2,axiom,
% 163.46/163.51 ! [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))) ).
% 163.46/163.51
% 163.46/163.51 fof(fact_subset__Un__eq,axiom,
% 163.46/163.51 ! [V_B_2,V_A_2,T_b] :
% 163.46/163.51 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 163.46/163.51 <=> hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = V_B_2 ) ).
% 163.46/163.51
% 163.46/163.51 fof(fact_Un__absorb1,axiom,
% 163.46/163.51 ! [V_B_2,V_A_2,T_b] :
% 163.46/163.51 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 163.46/163.51 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = V_B_2 ) ).
% 163.46/163.51
% 163.46/163.51 fof(fact_Un__absorb2,axiom,
% 163.46/163.51 ! [V_A_2,V_B_2,T_b] :
% 163.46/163.51 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 163.46/163.51 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = V_A_2 ) ).
% 163.46/163.51
% 163.46/163.51 fof(fact_Un__least,axiom,
% 163.46/163.51 ! [V_B_2,V_C_2,V_A_2,T_b] :
% 163.46/163.51 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2))
% 163.46/163.51 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2))
% 163.46/163.51 => 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)) ) ) ).
% 163.46/163.51
% 163.46/163.51 fof(fact_Un__mono,axiom,
% 163.46/163.51 ! [V_D_2,V_B_2,V_C_2,V_A_2,T_b] :
% 163.46/163.51 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2))
% 163.46/163.51 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_D_2))
% 163.46/163.51 => 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))) ) ) ).
% 163.46/163.51
% 163.46/163.51 fof(fact_Un__UNIV__left,axiom,
% 163.46/163.51 ! [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)) ).
% 163.46/163.51
% 163.46/163.51 fof(fact_Un__UNIV__right,axiom,
% 163.46/163.51 ! [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)) ).
% 163.46/163.51
% 163.46/163.51 fof(fact_Image__empty,axiom,
% 163.46/163.51 ! [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)) ).
% 163.46/163.51
% 163.46/163.51 fof(fact_Un__Diff__cancel,axiom,
% 163.46/163.51 ! [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) ).
% 163.46/163.51
% 163.46/163.51 fof(fact_Un__Diff__cancel2,axiom,
% 163.46/163.51 ! [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) ).
% 163.46/163.51
% 163.46/163.51 fof(fact_Un__Diff,axiom,
% 163.46/163.51 ! [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)) ).
% 163.46/163.51
% 163.46/163.51 fof(fact_Un__Pow__subset,axiom,
% 163.46/163.51 ! [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)))) ).
% 163.46/163.51
% 163.46/163.51 fof(fact_converse__Un,axiom,
% 163.46/163.51 ! [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)) ).
% 163.46/163.51
% 163.46/163.51 fof(fact_Union__insert,axiom,
% 163.46/163.51 ! [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)) ).
% 163.46/163.51
% 163.46/163.51 fof(fact_sup__Un__eq,axiom,
% 163.46/163.51 ! [V_x_2,V_S_2,V_R_2,T_b] :
% 163.46/163.51 ( 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))
% 163.46/163.51 <=> 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))) ) ).
% 163.46/163.51
% 163.46/163.51 fof(fact_UN__Un,axiom,
% 163.46/163.51 ! [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)) ).
% 163.46/163.51
% 163.46/163.51 fof(fact_UN__Un__distrib,axiom,
% 163.46/163.51 ! [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)) ).
% 163.46/163.51
% 163.46/163.51 fof(fact_Un__INT__distrib2,axiom,
% 163.46/163.51 ! [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))) ).
% 163.46/163.51
% 163.46/163.51 fof(fact_INT__extend__simps_I6_J,axiom,
% 163.46/163.51 ! [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)) ).
% 163.46/163.51
% 163.46/163.51 fof(fact_Un__INT__distrib,axiom,
% 163.46/163.51 ! [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)) ).
% 163.46/163.51
% 163.46/163.51 fof(fact_INT__extend__simps_I7_J,axiom,
% 163.46/163.51 ! [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)) ).
% 163.46/163.51
% 163.46/163.51 fof(fact_INT__simps_I6_J,axiom,
% 163.46/163.51 ! [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) ).
% 163.46/163.51
% 163.46/163.51 fof(fact_INT__simps_I7_J,axiom,
% 163.65/163.51 ! [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)) ).
% 163.65/163.51
% 163.65/163.51 fof(fact_Image__UN,axiom,
% 163.65/163.51 ! [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)) ).
% 163.65/163.51
% 163.65/163.51 fof(fact_Sup__insert,axiom,
% 163.65/163.51 ! [V_A_2,V_a_2,T_b] :
% 163.65/163.51 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 163.65/163.51 => 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)) ) ).
% 163.65/163.51
% 163.65/163.51 fof(fact_insert__is__Un,axiom,
% 163.65/163.51 ! [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) ).
% 163.65/163.51
% 163.65/163.51 fof(fact_Image__iff,axiom,
% 163.65/163.51 ! [V_A_2,V_r_2,T_c,V_b_2,T_b] :
% 163.65/163.51 ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(c_Relation_OImage(T_c,T_b,V_r_2),V_A_2)))
% 163.65/163.51 <=> ? [B_x] :
% 163.65/163.51 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 163.65/163.51 & 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)) ) ) ).
% 163.65/163.51
% 163.65/163.51 fof(fact_rev__ImageI,axiom,
% 163.65/163.51 ! [V_r_2,V_b_2,T_c,V_A_2,V_a_2,T_b] :
% 163.65/163.51 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 163.65/163.51 => ( 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))
% 163.65/163.51 => hBOOL(hAPP(hAPP(c_member(T_c),V_b_2),hAPP(c_Relation_OImage(T_b,T_c,V_r_2),V_A_2))) ) ) ).
% 163.65/163.51
% 163.65/163.51 fof(fact_Diff__subset__conv,axiom,
% 163.65/163.51 ! [V_C_2,V_B_2,V_A_2,T_b] :
% 163.65/163.51 ( 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))
% 163.65/163.51 <=> 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))) ) ).
% 163.65/163.51
% 163.65/163.51 fof(fact_Diff__partition,axiom,
% 163.65/163.51 ! [V_B_2,V_A_2,T_b] :
% 163.65/163.51 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 163.65/163.51 => 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 ) ).
% 163.65/163.51
% 163.65/163.51 fof(fact_Image__mono,axiom,
% 163.65/163.51 ! [V_A_2,V_A_H_2,V_r_2,V_r_H_2,T_c,T_b] :
% 163.65/163.51 ( 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))
% 163.65/163.51 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_H_2),V_A_2))
% 163.65/163.51 => 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))) ) ) ).
% 163.65/163.51
% 163.65/163.51 fof(fact_UN__absorb,axiom,
% 163.65/163.51 ! [V_A_2,T_c,V_I_2,V_k_2,T_b] :
% 163.65/163.51 ( hBOOL(hAPP(hAPP(c_member(T_b),V_k_2),V_I_2))
% 163.65/163.51 => 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) ) ).
% 163.65/163.51
% 163.65/163.51 fof(fact_UN__simps_I3_J,axiom,
% 163.65/163.51 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] :
% 163.65/163.51 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.65/163.51 => 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)) )
% 163.65/163.51 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.65/163.51 => 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)) ) ) ).
% 163.65/163.51
% 163.65/163.51 fof(fact_UN__simps_I2_J,axiom,
% 163.65/163.51 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] :
% 163.65/163.51 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.65/163.51 => 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)) )
% 163.65/163.51 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.65/163.51 => 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) ) ) ).
% 163.65/163.51
% 163.65/163.51 fof(fact_UN__extend__simps_I3_J,axiom,
% 163.65/163.51 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] :
% 163.65/163.51 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.65/163.51 => 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 )
% 163.65/163.51 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.65/163.51 => 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)) ) ) ).
% 163.65/163.51
% 163.65/163.51 fof(fact_UN__extend__simps_I2_J,axiom,
% 163.65/163.51 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] :
% 163.65/163.51 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.65/163.51 => 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 )
% 163.65/163.51 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.65/163.51 => 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)) ) ) ).
% 163.65/163.51
% 163.65/163.51 fof(fact_UN__insert,axiom,
% 163.65/163.51 ! [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)) ).
% 163.65/163.51
% 163.65/163.51 fof(fact_Un__eq__Union,axiom,
% 163.65/163.51 ! [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))))) ).
% 163.65/163.51
% 163.65/163.51 fof(fact_Image__INT__subset,axiom,
% 163.65/163.51 ! [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)))) ).
% 163.65/163.51
% 163.65/163.51 fof(fact_Sup__binary,axiom,
% 163.65/163.51 ! [V_b_2,V_a_2,T_b] :
% 163.65/163.51 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 163.65/163.51 => 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) ) ).
% 163.65/163.51
% 163.65/163.51 fof(fact_Image__eq__UN,axiom,
% 163.65/163.51 ! [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))))) ).
% 163.65/163.51
% 163.65/163.51 fof(fact_Image__INT__eq,axiom,
% 163.65/163.51 ! [V_B_2,T_d,V_A_2,V_r_2,T_c,T_b] :
% 163.65/163.51 ( c_Relation_Osingle__valued(T_b,T_c,hAPP(c_Relation_Oconverse(T_c,T_b),V_r_2))
% 163.65/163.51 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_d,tc_HOL_Obool))
% 163.65/163.51 => 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)) ) ) ).
% 163.65/163.51
% 163.65/163.51 fof(fact_quotient__def,axiom,
% 163.65/163.51 ! [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)))) ).
% 163.65/163.51
% 163.65/163.51 fof(fact_ImageE,axiom,
% 163.65/163.51 ! [V_A_2,V_r_2,T_c,V_b_2,T_b] :
% 163.65/163.51 ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(c_Relation_OImage(T_c,T_b,V_r_2),V_A_2)))
% 163.65/163.51 => ~ ! [B_x] :
% 163.65/163.51 ( 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))
% 163.65/163.51 => ~ hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2)) ) ) ).
% 163.65/163.51
% 163.65/163.51 fof(fact_subset__equiv__class,axiom,
% 163.65/163.51 ! [V_a_2,V_b_2,V_r_2,V_A_2,T_b] :
% 163.65/163.51 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 163.65/163.51 => ( 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))))))
% 163.65/163.51 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),V_A_2))
% 163.65/163.51 => 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)) ) ) ) ).
% 163.65/163.51
% 163.65/163.51 fof(fact_equiv__class__subset,axiom,
% 163.65/163.51 ! [V_b_2,V_a_2,V_r_2,V_A_2,T_b] :
% 163.65/163.51 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 163.65/163.51 => ( 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))
% 163.65/163.51 => 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)))))) ) ) ).
% 163.65/163.51
% 163.65/163.51 fof(fact_Image__singleton,axiom,
% 163.65/163.51 ! [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)) ).
% 163.65/163.51
% 163.65/163.51 fof(fact_equiv__class__eq__iff,axiom,
% 163.65/163.51 ! [V_y_2,V_x_2,V_r_2,V_A_2,T_b] :
% 163.65/163.51 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 163.65/163.51 => ( 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))
% 163.65/163.51 <=> ( 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))))
% 163.65/163.51 & hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 163.65/163.51 & hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2)) ) ) ) ).
% 163.65/163.51
% 163.65/163.51 fof(fact_eq__equiv__class__iff,axiom,
% 163.65/163.51 ! [V_y_2,V_x_2,V_r_2,V_A_2,T_b] :
% 163.65/163.51 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 163.65/163.51 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 163.65/163.51 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2))
% 163.65/163.51 => ( 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))))
% 163.65/163.51 <=> 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)) ) ) ) ) ).
% 163.65/163.51
% 163.65/163.51 fof(fact_eq__equiv__class,axiom,
% 163.65/163.51 ! [V_A_2,V_b_2,V_a_2,V_r_2,T_b] :
% 163.65/163.51 ( 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))))
% 163.65/163.51 => ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 163.65/163.51 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),V_A_2))
% 163.65/163.51 => 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)) ) ) ) ).
% 163.65/163.51
% 163.65/163.51 fof(fact_converseE,axiom,
% 163.65/163.51 ! [V_r_2,V_yx_2,T_c,T_b] :
% 163.65/163.51 ( 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)))
% 163.65/163.51 => ~ ! [B_x,B_y] :
% 163.65/163.51 ( V_yx_2 = hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),B_y),B_x)
% 163.65/163.51 => ~ 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)) ) ) ).
% 163.65/163.51
% 163.65/163.51 fof(fact_CollectI,axiom,
% 163.65/163.51 ! [T_b,V_a_2,V_P_2] :
% 163.65/163.51 ( hBOOL(hAPP(V_P_2,V_a_2))
% 163.65/163.51 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Set_OCollect(T_b),V_P_2))) ) ).
% 163.65/163.51
% 163.65/163.51 fof(fact_Union__quotient,axiom,
% 163.65/163.51 ! [V_r_2,V_A_2,T_b] :
% 163.65/163.51 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 163.65/163.51 => 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 ) ).
% 163.65/163.51
% 163.65/163.51 fof(fact_Collect__def,axiom,
% 163.65/163.51 ! [V_P_2,T_b] : hAPP(c_Set_OCollect(T_b),V_P_2) = V_P_2 ).
% 163.65/163.51
% 163.65/163.51 fof(fact_Collect__empty__eq,axiom,
% 163.65/163.51 ! [V_P_2,T_b] :
% 163.65/163.51 ( hAPP(c_Set_OCollect(T_b),V_P_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.65/163.51 <=> ! [B_x] : ~ hBOOL(hAPP(V_P_2,B_x)) ) ).
% 163.65/163.51
% 163.65/163.51 fof(fact_empty__Collect__eq,axiom,
% 163.65/163.51 ! [V_P_2,T_b] :
% 163.65/163.51 ( c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) = hAPP(c_Set_OCollect(T_b),V_P_2)
% 163.65/163.51 <=> ! [B_x] : ~ hBOOL(hAPP(V_P_2,B_x)) ) ).
% 163.65/163.51
% 163.65/163.51 fof(fact_Collect__mem__eq,axiom,
% 163.65/163.51 ! [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 ).
% 163.65/163.51
% 163.65/163.51 fof(fact_mem__Collect__eq,axiom,
% 163.65/163.51 ! [V_P_2,V_a_2,T_b] :
% 163.65/163.51 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Set_OCollect(T_b),V_P_2)))
% 163.65/163.51 <=> hBOOL(hAPP(V_P_2,V_a_2)) ) ).
% 163.65/163.51
% 163.65/163.51 fof(fact_CollectD,axiom,
% 163.65/163.51 ! [V_P_2,V_a_2,T_b] :
% 163.65/163.51 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Set_OCollect(T_b),V_P_2)))
% 163.65/163.51 => hBOOL(hAPP(V_P_2,V_a_2)) ) ).
% 163.65/163.51
% 163.65/163.51 fof(fact_CollectE,axiom,
% 163.65/163.51 ! [V_P_2,V_a_2,T_b] :
% 163.65/163.51 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Set_OCollect(T_b),V_P_2)))
% 163.65/163.51 => hBOOL(hAPP(V_P_2,V_a_2)) ) ).
% 163.65/163.51
% 163.65/163.51 fof(fact_empty__def,axiom,
% 163.65/163.51 ! [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)) ).
% 163.65/163.51
% 163.65/163.51 fof(fact_insert__Collect,axiom,
% 163.65/163.51 ! [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)) ).
% 163.65/163.51
% 163.65/163.51 fof(fact_UNIV__def,axiom,
% 163.65/163.51 ! [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)) ).
% 163.65/163.51
% 163.65/163.51 fof(fact_Collect__disj__eq,axiom,
% 163.65/163.51 ! [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)) ).
% 163.65/163.51
% 163.65/163.51 fof(fact_quotient__eqI,axiom,
% 163.65/163.51 ! [V_y_2,V_x_2,V_Y_2,V_X_2,V_r_2,V_A_2,T_b] :
% 163.65/163.51 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 163.65/163.51 => ( 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)))
% 163.65/163.51 => ( 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)))
% 163.65/163.51 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_X_2))
% 163.65/163.51 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_Y_2))
% 163.65/163.51 => ( 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))
% 163.65/163.51 => V_X_2 = V_Y_2 ) ) ) ) ) ) ).
% 163.65/163.51
% 163.65/163.51 fof(fact_quotient__eq__iff,axiom,
% 163.65/163.51 ! [V_y_2,V_x_2,V_Y_2,V_X_2,V_r_2,V_A_2,T_b] :
% 163.65/163.51 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 163.65/163.51 => ( 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)))
% 163.65/163.51 => ( 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)))
% 163.65/163.51 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_X_2))
% 163.65/163.51 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_Y_2))
% 163.65/163.51 => ( V_X_2 = V_Y_2
% 163.65/163.51 <=> 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)) ) ) ) ) ) ) ).
% 163.65/163.51
% 163.65/163.51 fof(fact_quotient__is__empty,axiom,
% 163.65/163.51 ! [V_r_2,V_A_2,T_b] :
% 163.65/163.51 ( 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))
% 163.65/163.51 <=> V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 163.65/163.51
% 163.65/163.51 fof(fact_quotient__is__empty2,axiom,
% 163.65/163.51 ! [V_r_2,V_A_2,T_b] :
% 163.65/163.51 ( 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)
% 163.65/163.51 <=> V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 163.65/163.51
% 163.65/163.51 fof(fact_quotient__empty,axiom,
% 163.65/163.51 ! [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)) ).
% 163.65/163.51
% 163.65/163.51 fof(fact_single__valued__subset,axiom,
% 163.65/163.51 ! [V_s_2,V_r_2,T_c,T_b] :
% 163.65/163.51 ( 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))
% 163.65/163.51 => ( c_Relation_Osingle__valued(T_b,T_c,V_s_2)
% 163.65/163.51 => c_Relation_Osingle__valued(T_b,T_c,V_r_2) ) ) ).
% 163.65/163.51
% 163.65/163.51 fof(fact_sup__Un__eq2,axiom,
% 163.65/163.51 ! [V_y_2,V_x_2,V_S_2,V_R_2,T_c,T_b] :
% 163.65/163.51 ( 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))
% 163.65/163.51 <=> 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))) ) ).
% 163.65/163.51
% 163.65/163.51 fof(fact_insert__compr,axiom,
% 163.65/163.51 ! [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))) ).
% 163.65/163.51
% 163.65/163.51 fof(fact_insert__compr__raw,axiom,
% 163.65/163.51 ! [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))) ).
% 163.65/163.51
% 163.65/163.51 fof(fact_eq__equiv__class__iff2,axiom,
% 163.65/163.51 ! [V_y_2,V_x_2,V_r_2,V_A_2,T_b] :
% 163.65/163.51 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 163.65/163.51 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 163.65/163.51 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2))
% 163.65/163.51 => ( 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)
% 163.65/163.51 <=> 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)) ) ) ) ) ).
% 163.65/163.51
% 163.65/163.51 fof(fact_Un__def,axiom,
% 163.65/163.51 ! [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))) ).
% 163.65/163.51
% 163.65/163.51 fof(fact_Collect__conv__if,axiom,
% 163.65/163.51 ! [T_b,V_a_2,V_P_2] :
% 163.65/163.51 ( ( hBOOL(hAPP(V_P_2,V_a_2))
% 163.65/163.51 => 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))) )
% 163.65/163.51 & ( ~ hBOOL(hAPP(V_P_2,V_a_2))
% 163.65/163.51 => 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)) ) ) ).
% 163.65/163.51
% 163.65/163.51 fof(fact_Collect__conv__if2,axiom,
% 163.65/163.51 ! [T_b,V_a_2,V_P_2] :
% 163.65/163.51 ( ( hBOOL(hAPP(V_P_2,V_a_2))
% 163.65/163.51 => 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))) )
% 163.65/163.52 & ( ~ hBOOL(hAPP(V_P_2,V_a_2))
% 163.65/163.52 => 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)) ) ) ).
% 163.65/163.52
% 163.65/163.52 fof(fact_singleton__conv,axiom,
% 163.65/163.52 ! [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))) ).
% 163.65/163.52
% 163.65/163.52 fof(fact_singleton__conv2,axiom,
% 163.65/163.52 ! [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))) ).
% 163.65/163.52
% 163.65/163.52 fof(fact_set__diff__eq,axiom,
% 163.65/163.52 ! [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)))) ).
% 163.65/163.52
% 163.65/163.52 fof(fact_insert__def,axiom,
% 163.65/163.52 ! [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) ).
% 163.65/163.52
% 163.65/163.52 fof(fact_single__valued__Id__on,axiom,
% 163.65/163.52 ! [V_A_2,T_b] : c_Relation_Osingle__valued(T_b,T_b,c_Relation_OId__on(T_b,V_A_2)) ).
% 163.65/163.52
% 163.65/163.52 fof(fact_Pow__def,axiom,
% 163.65/163.52 ! [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)) ).
% 163.65/163.52
% 163.65/163.52 fof(fact_equiv__class__self,axiom,
% 163.65/163.52 ! [V_a_2,V_r_2,V_A_2,T_b] :
% 163.65/163.52 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 163.65/163.52 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 163.65/163.52 => 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)))))) ) ) ).
% 163.65/163.52
% 163.65/163.52 fof(fact_single__valuedD,axiom,
% 163.65/163.52 ! [V_z_2,V_y_2,V_x_2,V_r_2,T_c,T_b] :
% 163.65/163.52 ( c_Relation_Osingle__valued(T_b,T_c,V_r_2)
% 163.65/163.52 => ( 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))
% 163.65/163.52 => ( 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))
% 163.65/163.52 => V_y_2 = V_z_2 ) ) ) ).
% 163.65/163.52
% 163.65/163.52 fof(fact_single__valued__def,axiom,
% 163.65/163.52 ! [V_r_2,T_c,T_b] :
% 163.65/163.52 ( c_Relation_Osingle__valued(T_b,T_c,V_r_2)
% 163.65/163.52 <=> ! [B_x,B_y] :
% 163.65/163.52 ( 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))
% 163.65/163.52 => ! [B_z] :
% 163.65/163.52 ( 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))
% 163.65/163.52 => B_y = B_z ) ) ) ).
% 163.65/163.52
% 163.65/163.52 fof(fact_equiv__class__eq,axiom,
% 163.65/163.52 ! [V_b_2,V_a_2,V_r_2,V_A_2,T_b] :
% 163.65/163.52 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 163.65/163.52 => ( 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))
% 163.65/163.52 => 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)))) ) ) ).
% 163.65/163.52
% 163.65/163.52 fof(fact_quotientI,axiom,
% 163.65/163.52 ! [V_r_2,V_A_2,V_x_2,T_b] :
% 163.65/163.52 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 163.65/163.52 => 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))) ) ).
% 163.65/163.52
% 163.65/163.52 fof(fact_singleton__quotient,axiom,
% 163.65/163.52 ! [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))) ).
% 163.65/163.52
% 163.65/163.52 fof(fact_UN__equiv__class2,axiom,
% 163.65/163.52 ! [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] :
% 163.65/163.52 ( c_Equiv__Relations_Oequiv(T_b,V_A1_2,V_r1_2)
% 163.65/163.52 => ( c_Equiv__Relations_Oequiv(T_c,V_A2_2,V_r2_2)
% 163.65/163.52 => ( c_Equiv__Relations_Ocongruent2(T_b,T_c,tc_fun(T_d,tc_HOL_Obool),V_r1_2,V_r2_2,V_f_2)
% 163.65/163.52 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a1_2),V_A1_2))
% 163.65/163.52 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_a2_2),V_A2_2))
% 163.65/163.52 => 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) ) ) ) ) ) ).
% 163.65/163.52
% 163.65/163.52 fof(fact_UN__equiv__class,axiom,
% 163.65/163.52 ! [V_a_2,V_f_2,T_c,V_r_2,V_A_2,T_b] :
% 163.65/163.52 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 163.65/163.52 => ( c_Equiv__Relations_Ocongruent(T_b,tc_fun(T_c,tc_HOL_Obool),V_r_2,V_f_2)
% 163.65/163.52 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 163.65/163.52 => 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) ) ) ) ).
% 163.65/163.52
% 163.65/163.52 fof(fact_quotientE,axiom,
% 163.65/163.52 ! [V_r_2,V_A_2,V_X_2,T_b] :
% 163.65/163.52 ( 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)))
% 163.65/163.52 => ~ ! [B_x] :
% 163.65/163.52 ( 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))))
% 163.65/163.52 => ~ hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) ) ) ).
% 163.65/163.52
% 163.65/163.52 fof(fact_equiv__class__nondisjoint,axiom,
% 163.65/163.52 ! [V_b_2,V_a_2,V_x_2,V_r_2,V_A_2,T_b] :
% 163.65/163.52 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 163.65/163.52 => ( 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)))))))
% 163.65/163.52 => 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)) ) ) ).
% 163.65/163.52
% 163.65/163.52 fof(fact_equivp__equiv,axiom,
% 163.65/163.52 ! [V_A_2,T_b] :
% 163.65/163.52 ( c_Equiv__Relations_Oequiv(T_b,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),V_A_2)
% 163.65/163.52 <=> 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)) ) ).
% 163.65/163.52
% 163.65/163.52 fof(fact_congruent2__implies__congruent__UN,axiom,
% 163.65/163.52 ! [V_a_2,V_f_2,T_d,V_r2_2,V_A2_2,T_c,V_r1_2,V_A1_2,T_b] :
% 163.65/163.52 ( c_Equiv__Relations_Oequiv(T_b,V_A1_2,V_r1_2)
% 163.65/163.52 => ( c_Equiv__Relations_Oequiv(T_c,V_A2_2,V_r2_2)
% 163.65/163.52 => ( c_Equiv__Relations_Ocongruent2(T_b,T_c,tc_fun(T_d,tc_HOL_Obool),V_r1_2,V_r2_2,V_f_2)
% 163.65/163.52 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_a_2),V_A2_2))
% 163.65/163.52 => 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)) ) ) ) ) ).
% 163.65/163.52
% 163.65/163.52 fof(fact_congruentD,axiom,
% 163.65/163.52 ! [V_z_2,V_y_2,V_f_2,V_r_2,T_c,T_b] :
% 163.65/163.52 ( c_Equiv__Relations_Ocongruent(T_b,T_c,V_r_2,V_f_2)
% 163.65/163.52 => ( 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))
% 163.65/163.52 => hAPP(V_f_2,V_y_2) = hAPP(V_f_2,V_z_2) ) ) ).
% 163.65/163.52
% 163.65/163.52 fof(fact_UN__equiv__class__inject,axiom,
% 163.65/163.52 ! [V_Y_2,V_X_2,V_f_2,T_c,V_r_2,V_A_2,T_b] :
% 163.65/163.52 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 163.65/163.52 => ( c_Equiv__Relations_Ocongruent(T_b,tc_fun(T_c,tc_HOL_Obool),V_r_2,V_f_2)
% 163.65/163.52 => ( 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)
% 163.65/163.52 => ( 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)))
% 163.65/163.52 => ( 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)))
% 163.65/163.52 => ( ! [B_x] :
% 163.65/163.52 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 163.65/163.52 => ! [B_y] :
% 163.65/163.52 ( hBOOL(hAPP(hAPP(c_member(T_b),B_y),V_A_2))
% 163.65/163.52 => ( hAPP(V_f_2,B_x) = hAPP(V_f_2,B_y)
% 163.65/163.52 => 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)) ) ) )
% 163.65/163.52 => V_X_2 = V_Y_2 ) ) ) ) ) ) ).
% 163.65/163.52
% 163.65/163.52 fof(fact_congruent2D,axiom,
% 163.65/163.52 ! [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] :
% 163.65/163.52 ( c_Equiv__Relations_Ocongruent2(T_b,T_c,T_d,V_r1_2,V_r2_2,V_f_2)
% 163.65/163.52 => ( 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))
% 163.65/163.52 => ( 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))
% 163.65/163.52 => hAPP(hAPP(V_f_2,V_y1_2),V_y2_2) = hAPP(hAPP(V_f_2,V_z1_2),V_z2_2) ) ) ) ).
% 163.65/163.52
% 163.65/163.52 fof(fact_quotient__diff1,axiom,
% 163.65/163.52 ! [V_a_2,V_A_2,V_r_2,T_b] :
% 163.65/163.52 ( 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)
% 163.65/163.52 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 163.65/163.52 => 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)) ) ) ).
% 163.65/163.52
% 163.65/163.52 fof(fact_inf1I,axiom,
% 163.65/163.52 ! [T_b,V_B_2,V_x_2,V_A_2] :
% 163.65/163.52 ( hBOOL(hAPP(V_A_2,V_x_2))
% 163.65/163.52 => ( hBOOL(hAPP(V_B_2,V_x_2))
% 163.65/163.52 => 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)) ) ) ).
% 163.65/163.52
% 163.65/163.52 fof(fact_inf1E,axiom,
% 163.65/163.52 ! [V_x_2,V_B_2,V_A_2,T_b] :
% 163.65/163.52 ( 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))
% 163.65/163.52 => ~ ( hBOOL(hAPP(V_A_2,V_x_2))
% 163.65/163.52 => ~ hBOOL(hAPP(V_B_2,V_x_2)) ) ) ).
% 163.65/163.52
% 163.65/163.52 fof(fact_sup2E,axiom,
% 163.65/163.52 ! [V_y_2,V_x_2,V_B_2,V_A_2,T_c,T_b] :
% 163.65/163.52 ( 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))
% 163.65/163.52 => ( ~ hBOOL(hAPP(hAPP(V_A_2,V_x_2),V_y_2))
% 163.65/163.52 => hBOOL(hAPP(hAPP(V_B_2,V_x_2),V_y_2)) ) ) ).
% 163.65/163.52
% 163.65/163.52 fof(fact_sup2CI,axiom,
% 163.65/163.52 ! [T_c,T_b,V_A_2,V_y_2,V_x_2,V_B_2] :
% 163.65/163.52 ( ( ~ hBOOL(hAPP(hAPP(V_B_2,V_x_2),V_y_2))
% 163.65/163.52 => hBOOL(hAPP(hAPP(V_A_2,V_x_2),V_y_2)) )
% 163.65/163.52 => 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)) ) ).
% 163.65/163.52
% 163.65/163.52 fof(fact_IntE,axiom,
% 163.65/163.52 ! [V_B_2,V_A_2,V_c_2,T_b] :
% 163.65/163.52 ( 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)))
% 163.65/163.52 => ~ ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2))
% 163.65/163.52 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ) ) ).
% 163.65/163.52
% 163.65/163.52 fof(fact_IntI,axiom,
% 163.65/163.52 ! [V_B_2,V_A_2,V_c_2,T_b] :
% 163.65/163.52 ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2))
% 163.65/163.52 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2))
% 163.65/163.52 => 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))) ) ) ).
% 163.65/163.52
% 163.65/163.52 fof(fact_inj__on__empty,axiom,
% 163.65/163.52 ! [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))) ).
% 163.65/163.52
% 163.65/163.52 fof(fact_sup2I1,axiom,
% 163.65/163.52 ! [V_B_2,T_c,T_b,V_y_2,V_x_2,V_A_2] :
% 163.65/163.52 ( hBOOL(hAPP(hAPP(V_A_2,V_x_2),V_y_2))
% 163.65/163.52 => 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)) ) ).
% 163.65/163.52
% 163.65/163.52 fof(fact_sup2I2,axiom,
% 163.65/163.52 ! [V_A_2,T_c,T_b,V_y_2,V_x_2,V_B_2] :
% 163.65/163.52 ( hBOOL(hAPP(hAPP(V_B_2,V_x_2),V_y_2))
% 163.65/163.52 => 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)) ) ).
% 163.65/163.52
% 163.65/163.52 fof(fact_identity__equivp,axiom,
% 163.65/163.52 ! [T_b] : c_Equiv__Relations_Oequivp(T_b,c_fequal) ).
% 163.65/163.52
% 163.65/163.52 fof(fact_equivp__def,axiom,
% 163.65/163.52 ! [V_R_2,T_b] :
% 163.65/163.52 ( c_Equiv__Relations_Oequivp(T_b,V_R_2)
% 163.65/163.52 <=> ! [B_x,B_y] :
% 163.65/163.52 ( hBOOL(hAPP(hAPP(V_R_2,B_x),B_y))
% 163.65/163.52 <=> hAPP(V_R_2,B_x) = hAPP(V_R_2,B_y) ) ) ).
% 163.65/163.52
% 163.65/163.52 fof(fact_equivp__reflp,axiom,
% 163.65/163.52 ! [V_x_2,V_R_2,T_b] :
% 163.65/163.52 ( c_Equiv__Relations_Oequivp(T_b,V_R_2)
% 163.65/163.52 => hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_x_2)) ) ).
% 163.65/163.52
% 163.65/163.52 fof(fact_equivp__symp,axiom,
% 163.65/163.52 ! [V_y_2,V_x_2,V_R_2,T_b] :
% 163.65/163.52 ( c_Equiv__Relations_Oequivp(T_b,V_R_2)
% 163.65/163.52 => ( hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_y_2))
% 163.65/163.52 => hBOOL(hAPP(hAPP(V_R_2,V_y_2),V_x_2)) ) ) ).
% 163.65/163.52
% 163.65/163.52 fof(fact_equivp__transp,axiom,
% 163.65/163.52 ! [V_z_2,V_y_2,V_x_2,V_R_2,T_b] :
% 163.65/163.52 ( c_Equiv__Relations_Oequivp(T_b,V_R_2)
% 163.65/163.52 => ( hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_y_2))
% 163.65/163.52 => ( hBOOL(hAPP(hAPP(V_R_2,V_y_2),V_z_2))
% 163.65/163.52 => hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_z_2)) ) ) ) ).
% 163.65/163.52
% 163.65/163.52 fof(fact_inj__on__id2,axiom,
% 163.65/163.52 ! [V_A_2,T_b] : c_Fun_Oinj__on(T_b,T_b,c_COMBI(T_b),V_A_2) ).
% 163.65/163.52
% 163.65/163.52 fof(fact_inf_Oidem,axiom,
% 163.65/163.52 ! [V_a,T_a] :
% 163.65/163.52 ( class_Lattices_Osemilattice__inf(T_a)
% 163.65/163.52 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_a),V_a) = V_a ) ).
% 163.65/163.52
% 163.65/163.52 fof(fact_inf__idem,axiom,
% 163.65/163.52 ! [V_x,T_a] :
% 163.65/163.52 ( class_Lattices_Osemilattice__inf(T_a)
% 163.65/163.52 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_x) = V_x ) ).
% 163.65/163.52
% 163.65/163.52 fof(fact_inf__fun__def,axiom,
% 163.65/163.52 ! [V_x_2,V_g_2,V_f_2,T_c,T_b] :
% 163.65/163.52 ( class_Lattices_Olattice(T_b)
% 163.65/163.52 => 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)) ) ).
% 163.65/163.52
% 163.65/163.52 fof(fact_inf_Ocommute,axiom,
% 163.65/163.52 ! [V_b,V_a,T_a] :
% 163.65/163.52 ( class_Lattices_Osemilattice__inf(T_a)
% 163.65/163.52 => 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) ) ).
% 163.65/163.52
% 163.65/163.52 fof(fact_inf__sup__aci_I1_J,axiom,
% 163.65/163.52 ! [V_y,V_x,T_a] :
% 163.65/163.52 ( class_Lattices_Olattice(T_a)
% 163.65/163.52 => 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) ) ).
% 163.65/163.52
% 163.65/163.52 fof(fact_inf__commute,axiom,
% 163.65/163.52 ! [V_y,V_x,T_a] :
% 163.65/163.52 ( class_Lattices_Osemilattice__inf(T_a)
% 163.65/163.52 => 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) ) ).
% 163.65/163.52
% 163.65/163.52 fof(fact_inf_Oleft__idem,axiom,
% 163.65/163.52 ! [V_b,V_a,T_a] :
% 163.65/163.52 ( class_Lattices_Osemilattice__inf(T_a)
% 163.65/163.52 => 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) ) ).
% 163.65/163.52
% 163.65/163.52 fof(fact_inf__sup__aci_I4_J,axiom,
% 163.65/163.52 ! [V_y,V_x,T_a] :
% 163.65/163.52 ( class_Lattices_Olattice(T_a)
% 163.65/163.52 => 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) ) ).
% 163.65/163.52
% 163.65/163.52 fof(fact_inf__left__idem,axiom,
% 163.65/163.52 ! [V_y,V_x,T_a] :
% 163.65/163.52 ( class_Lattices_Osemilattice__inf(T_a)
% 163.65/163.52 => 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) ) ).
% 163.65/163.52
% 163.65/163.52 fof(fact_inf_Oleft__commute,axiom,
% 163.65/163.52 ! [V_c,V_a,V_b,T_a] :
% 163.65/163.52 ( class_Lattices_Osemilattice__inf(T_a)
% 163.65/163.52 => 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)) ) ).
% 163.65/163.52
% 163.65/163.52 fof(fact_inf__sup__aci_I3_J,axiom,
% 163.65/163.52 ! [V_z,V_y,V_x,T_a] :
% 163.65/163.52 ( class_Lattices_Olattice(T_a)
% 163.65/163.52 => 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)) ) ).
% 163.65/163.52
% 163.65/163.52 fof(fact_inf__left__commute,axiom,
% 163.65/163.52 ! [V_z,V_y,V_x,T_a] :
% 163.65/163.52 ( class_Lattices_Osemilattice__inf(T_a)
% 163.65/163.52 => 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)) ) ).
% 163.65/163.52
% 163.65/163.52 fof(fact_inf_Oassoc,axiom,
% 163.65/163.52 ! [V_c,V_b,V_a,T_a] :
% 163.65/163.52 ( class_Lattices_Osemilattice__inf(T_a)
% 163.65/163.52 => 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)) ) ).
% 163.65/163.52
% 163.65/163.52 fof(fact_inf__sup__aci_I2_J,axiom,
% 163.65/163.52 ! [V_z,V_y,V_x,T_a] :
% 163.65/163.52 ( class_Lattices_Olattice(T_a)
% 163.65/163.52 => 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)) ) ).
% 163.65/163.52
% 163.65/163.52 fof(fact_inf__assoc,axiom,
% 163.65/163.52 ! [V_z,V_y,V_x,T_a] :
% 163.65/163.52 ( class_Lattices_Osemilattice__inf(T_a)
% 163.65/163.52 => 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)) ) ).
% 163.65/163.52
% 163.65/163.52 fof(fact_inf__apply,axiom,
% 163.65/163.52 ! [V_x_2,V_g_2,V_f_2,T_c,T_b] :
% 163.65/163.52 ( class_Lattices_Olattice(T_b)
% 163.65/163.52 => 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)) ) ).
% 163.65/163.52
% 163.65/163.52 fof(fact_Int__absorb,axiom,
% 163.65/163.52 ! [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 ).
% 163.65/163.52
% 163.65/163.52 fof(fact_Int__commute,axiom,
% 163.65/163.52 ! [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) ).
% 163.65/163.52
% 163.65/163.52 fof(fact_Int__left__absorb,axiom,
% 163.65/163.52 ! [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) ).
% 163.65/163.52
% 163.65/163.52 fof(fact_Int__left__commute,axiom,
% 163.65/163.52 ! [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)) ).
% 163.65/163.52
% 163.65/163.52 fof(fact_Int__assoc,axiom,
% 163.65/163.52 ! [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)) ).
% 163.65/163.52
% 163.65/163.52 fof(fact_inf1D1,axiom,
% 163.65/163.52 ! [V_x_2,V_B_2,V_A_2,T_b] :
% 163.65/163.52 ( 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))
% 163.65/163.52 => hBOOL(hAPP(V_A_2,V_x_2)) ) ).
% 163.65/163.52
% 163.65/163.52 fof(fact_inf1D2,axiom,
% 163.65/163.52 ! [V_x_2,V_B_2,V_A_2,T_b] :
% 163.65/163.52 ( 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))
% 163.65/163.52 => hBOOL(hAPP(V_B_2,V_x_2)) ) ).
% 163.65/163.52
% 163.65/163.52 fof(fact_inj__on__def,axiom,
% 163.65/163.52 ! [V_A_2,V_f_2,T_c,T_b] :
% 163.65/163.52 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 163.65/163.52 <=> ! [B_x] :
% 163.65/163.52 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 163.65/163.52 => ! [B_xa] :
% 163.65/163.52 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_A_2))
% 163.65/163.52 => ( hAPP(V_f_2,B_x) = hAPP(V_f_2,B_xa)
% 163.65/163.52 => B_x = B_xa ) ) ) ) ).
% 163.65/163.52
% 163.65/163.52 fof(fact_inj__on__Int,axiom,
% 163.65/163.52 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 163.65/163.52 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 163.65/163.52 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_B_2)
% 163.65/163.52 => 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)) ) ) ).
% 163.65/163.52
% 163.65/163.52 fof(fact_Pow__Int__eq,axiom,
% 163.65/163.52 ! [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)) ).
% 163.65/163.52
% 163.65/163.52 fof(fact_inj__fun,axiom,
% 163.65/163.52 ! [T_d,V_f_2,T_c,T_b] :
% 163.65/163.52 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 163.65/163.52 => 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))) ) ).
% 163.65/163.52
% 163.65/163.52 fof(fact_inj__on__contraD,axiom,
% 163.65/163.52 ! [V_y_2,V_x_2,V_A_2,V_f_2,T_c,T_b] :
% 163.65/163.52 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 163.65/163.52 => ( V_x_2 != V_y_2
% 163.65/163.52 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 163.65/163.52 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2))
% 163.65/163.52 => hAPP(V_f_2,V_x_2) != hAPP(V_f_2,V_y_2) ) ) ) ) ).
% 163.65/163.52
% 163.65/163.52 fof(fact_inj__on__iff,axiom,
% 163.65/163.52 ! [V_y_2,V_x_2,V_A_2,V_f_2,T_c,T_b] :
% 163.65/163.52 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 163.65/163.52 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 163.65/163.52 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2))
% 163.65/163.52 => ( hAPP(V_f_2,V_x_2) = hAPP(V_f_2,V_y_2)
% 163.65/163.52 <=> V_x_2 = V_y_2 ) ) ) ) ).
% 163.65/163.52
% 163.65/163.52 fof(fact_inj__onD,axiom,
% 163.65/163.52 ! [V_y_2,V_x_2,V_A_2,V_f_2,T_c,T_b] :
% 163.65/163.52 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 163.65/163.52 => ( hAPP(V_f_2,V_x_2) = hAPP(V_f_2,V_y_2)
% 163.65/163.52 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 163.65/163.52 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2))
% 163.65/163.52 => V_x_2 = V_y_2 ) ) ) ) ).
% 163.65/163.52
% 163.65/163.52 fof(fact_subset__inj__on,axiom,
% 163.65/163.52 ! [V_A_2,V_B_2,V_f_2,T_c,T_b] :
% 163.65/163.52 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_B_2)
% 163.65/163.52 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 163.65/163.52 => c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) ) ) ).
% 163.65/163.52
% 163.65/163.52 fof(fact_inj__eq,axiom,
% 163.65/163.52 ! [V_y_2,V_x_2,V_f_2,T_c,T_b] :
% 163.65/163.52 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 163.65/163.52 => ( hAPP(V_f_2,V_x_2) = hAPP(V_f_2,V_y_2)
% 163.65/163.52 <=> V_x_2 = V_y_2 ) ) ).
% 163.65/163.52
% 163.65/163.52 fof(fact_injD,axiom,
% 163.65/163.52 ! [V_y_2,V_x_2,V_f_2,T_c,T_b] :
% 163.65/163.52 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 163.65/163.52 => ( hAPP(V_f_2,V_x_2) = hAPP(V_f_2,V_y_2)
% 163.65/163.52 => V_x_2 = V_y_2 ) ) ).
% 163.65/163.52
% 163.65/163.52 fof(fact_Union__Int__subset,axiom,
% 163.65/163.52 ! [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)))) ).
% 163.65/163.52
% 163.65/163.52 fof(fact_le__infE,axiom,
% 163.65/163.52 ! [V_b,V_a,V_x,T_a] :
% 163.65/163.52 ( class_Lattices_Osemilattice__inf(T_a)
% 163.65/163.52 => ( 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)))
% 163.65/163.52 => ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_a))
% 163.65/163.52 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_b)) ) ) ) ).
% 163.65/163.52
% 163.65/163.52 fof(fact_inf__mono,axiom,
% 163.65/163.52 ! [V_d,V_b,V_c,V_a,T_a] :
% 163.65/163.52 ( class_Lattices_Osemilattice__inf(T_a)
% 163.65/163.52 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_c))
% 163.65/163.52 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_d))
% 163.65/163.52 => 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))) ) ) ) ).
% 163.65/163.52
% 163.65/163.52 fof(fact_inf__greatest,axiom,
% 163.65/163.52 ! [V_z,V_y,V_x,T_a] :
% 163.65/163.52 ( class_Lattices_Osemilattice__inf(T_a)
% 163.65/163.52 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 163.65/163.52 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_z))
% 163.65/163.52 => 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))) ) ) ) ).
% 163.65/163.52
% 163.65/163.52 fof(fact_le__infI,axiom,
% 163.65/163.52 ! [V_b,V_a,V_x,T_a] :
% 163.65/163.52 ( class_Lattices_Osemilattice__inf(T_a)
% 163.65/163.52 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_a))
% 163.65/163.52 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_b))
% 163.65/163.52 => 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))) ) ) ) ).
% 163.65/163.52
% 163.65/163.52 fof(fact_inf__absorb2,axiom,
% 163.65/163.52 ! [V_x,V_y,T_a] :
% 163.65/163.52 ( class_Lattices_Osemilattice__inf(T_a)
% 163.65/163.52 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 163.65/163.52 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_y) = V_y ) ) ).
% 163.65/163.52
% 163.65/163.52 fof(fact_inf__absorb1,axiom,
% 163.65/163.52 ! [V_y,V_x,T_a] :
% 163.65/163.52 ( class_Lattices_Osemilattice__inf(T_a)
% 163.65/163.52 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 163.65/163.52 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_y) = V_x ) ) ).
% 163.65/163.52
% 163.65/163.52 fof(fact_le__infI2,axiom,
% 163.65/163.52 ! [V_a,V_x,V_b,T_a] :
% 163.65/163.52 ( class_Lattices_Osemilattice__inf(T_a)
% 163.65/163.52 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_x))
% 163.65/163.52 => 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)) ) ) ).
% 163.65/163.52
% 163.65/163.52 fof(fact_le__infI1,axiom,
% 163.65/163.52 ! [V_b,V_x,V_a,T_a] :
% 163.65/163.52 ( class_Lattices_Osemilattice__inf(T_a)
% 163.65/163.52 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_x))
% 163.65/163.52 => 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)) ) ) ).
% 163.65/163.52
% 163.65/163.52 fof(fact_le__inf__iff,axiom,
% 163.65/163.52 ! [V_z_2,V_y_2,V_x_2,T_b] :
% 163.65/163.52 ( class_Lattices_Osemilattice__inf(T_b)
% 163.65/163.52 => ( 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)))
% 163.65/163.52 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 163.65/163.52 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_z_2)) ) ) ) ).
% 163.65/163.52
% 163.65/163.52 fof(fact_le__iff__inf,axiom,
% 163.65/163.52 ! [V_y_2,V_x_2,T_b] :
% 163.65/163.52 ( class_Lattices_Osemilattice__inf(T_b)
% 163.65/163.52 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 163.65/163.52 <=> hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),V_x_2),V_y_2) = V_x_2 ) ) ).
% 163.65/163.52
% 163.65/163.52 fof(fact_inf__le2,axiom,
% 163.65/163.52 ! [V_y,V_x,T_a] :
% 163.65/163.52 ( class_Lattices_Osemilattice__inf(T_a)
% 163.65/163.52 => 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)) ) ).
% 163.65/163.52
% 163.65/163.52 fof(fact_inf__sup__ord_I2_J,axiom,
% 163.65/163.52 ! [V_y,V_x,T_a] :
% 163.65/163.52 ( class_Lattices_Olattice(T_a)
% 163.65/163.52 => 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)) ) ).
% 163.65/163.52
% 163.65/163.52 fof(fact_inf__le1,axiom,
% 163.65/163.52 ! [V_y,V_x,T_a] :
% 163.65/163.52 ( class_Lattices_Osemilattice__inf(T_a)
% 163.65/163.52 => 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)) ) ).
% 163.65/163.52
% 163.65/163.52 fof(fact_inf__sup__ord_I1_J,axiom,
% 163.65/163.52 ! [V_y,V_x,T_a] :
% 163.65/163.52 ( class_Lattices_Olattice(T_a)
% 163.65/163.52 => 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)) ) ).
% 163.65/163.52
% 163.65/163.52 fof(fact_less__infI2,axiom,
% 163.65/163.52 ! [V_a,V_x,V_b,T_a] :
% 163.65/163.52 ( class_Lattices_Osemilattice__inf(T_a)
% 163.65/163.52 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_x))
% 163.65/163.52 => 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)) ) ) ).
% 163.65/163.52
% 163.65/163.52 fof(fact_less__infI1,axiom,
% 163.65/163.52 ! [V_b,V_x,V_a,T_a] :
% 163.65/163.52 ( class_Lattices_Osemilattice__inf(T_a)
% 163.65/163.52 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_x))
% 163.65/163.52 => 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)) ) ) ).
% 163.65/163.52
% 163.65/163.52 fof(fact_inj__on__diff,axiom,
% 163.65/163.52 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 163.65/163.52 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 163.65/163.52 => 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)) ) ).
% 163.65/163.52
% 163.65/163.52 fof(fact_inf__bot__left,axiom,
% 163.65/163.52 ! [V_x,T_a] :
% 163.65/163.52 ( class_Lattices_Obounded__lattice__bot(T_a)
% 163.65/163.52 => 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) ) ).
% 163.65/163.52
% 163.65/163.52 fof(fact_inf__bot__right,axiom,
% 163.65/163.52 ! [V_x,T_a] :
% 163.65/163.52 ( class_Lattices_Obounded__lattice__bot(T_a)
% 163.65/163.52 => 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) ) ).
% 163.65/163.52
% 163.65/163.52 fof(fact_inf__sup__absorb,axiom,
% 163.65/163.52 ! [V_y,V_x,T_a] :
% 163.65/163.52 ( class_Lattices_Olattice(T_a)
% 163.65/163.52 => 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 ) ).
% 163.65/163.52
% 163.65/163.52 fof(fact_sup__inf__absorb,axiom,
% 163.65/163.52 ! [V_y,V_x,T_a] :
% 163.65/163.52 ( class_Lattices_Olattice(T_a)
% 163.65/163.52 => 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 ) ).
% 163.65/163.52
% 163.65/163.52 fof(fact_inf__sup__distrib1,axiom,
% 163.65/163.52 ! [V_z,V_y,V_x,T_a] :
% 163.65/163.52 ( class_Lattices_Odistrib__lattice(T_a)
% 163.65/163.52 => 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)) ) ).
% 163.65/163.52
% 163.65/163.52 fof(fact_sup__inf__distrib1,axiom,
% 163.65/163.52 ! [V_z,V_y,V_x,T_a] :
% 163.65/163.52 ( class_Lattices_Odistrib__lattice(T_a)
% 163.65/163.52 => 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)) ) ).
% 163.65/163.52
% 163.65/163.52 fof(fact_inf__sup__distrib2,axiom,
% 163.65/163.52 ! [V_x,V_z,V_y,T_a] :
% 163.65/163.52 ( class_Lattices_Odistrib__lattice(T_a)
% 163.65/163.52 => 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)) ) ).
% 163.65/163.52
% 163.65/163.52 fof(fact_sup__inf__distrib2,axiom,
% 163.65/163.52 ! [V_x,V_z,V_y,T_a] :
% 163.65/163.52 ( class_Lattices_Odistrib__lattice(T_a)
% 163.65/163.52 => 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)) ) ).
% 163.65/163.52
% 163.65/163.52 fof(fact_inf__eq__top__iff,axiom,
% 163.65/163.52 ! [V_y_2,V_x_2,T_b] :
% 163.65/163.52 ( class_Lattices_Obounded__lattice__top(T_b)
% 163.65/163.52 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),V_x_2),V_y_2) = c_Orderings_Otop__class_Otop(T_b)
% 163.65/163.52 <=> ( V_x_2 = c_Orderings_Otop__class_Otop(T_b)
% 163.65/163.52 & V_y_2 = c_Orderings_Otop__class_Otop(T_b) ) ) ) ).
% 163.65/163.52
% 163.65/163.52 fof(fact_inf__top__right,axiom,
% 163.65/163.52 ! [V_x,T_a] :
% 163.65/163.52 ( class_Lattices_Obounded__lattice__top(T_a)
% 163.65/163.52 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),c_Orderings_Otop__class_Otop(T_a)) = V_x ) ).
% 163.65/163.52
% 163.65/163.52 fof(fact_inf__top__left,axiom,
% 163.65/163.52 ! [V_x,T_a] :
% 163.65/163.52 ( class_Lattices_Obounded__lattice__top(T_a)
% 163.65/163.52 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),c_Orderings_Otop__class_Otop(T_a)),V_x) = V_x ) ).
% 163.65/163.52
% 163.65/163.52 fof(fact_IntD2,axiom,
% 163.65/163.52 ! [V_B_2,V_A_2,V_c_2,T_b] :
% 163.65/163.52 ( 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)))
% 163.65/163.52 => hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ) ).
% 163.65/163.52
% 163.65/163.52 fof(fact_IntD1,axiom,
% 163.65/163.52 ! [V_B_2,V_A_2,V_c_2,T_b] :
% 163.65/163.52 ( 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)))
% 163.65/163.52 => hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) ) ).
% 163.65/163.52
% 163.65/163.52 fof(fact_Int__iff,axiom,
% 163.65/163.52 ! [V_B_2,V_A_2,V_c_2,T_b] :
% 163.65/163.52 ( 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)))
% 163.65/163.52 <=> ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2))
% 163.65/163.52 & hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ) ) ).
% 163.65/163.52
% 163.65/163.52 fof(fact_Int__empty__left,axiom,
% 163.65/163.52 ! [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)) ).
% 163.65/163.52
% 163.65/163.52 fof(fact_Int__empty__right,axiom,
% 163.65/163.52 ! [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)) ).
% 163.65/163.52
% 163.65/163.52 fof(fact_disjoint__iff__not__equal,axiom,
% 163.65/163.52 ! [V_B_2,V_A_2,T_b] :
% 163.65/163.52 ( 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))
% 163.65/163.52 <=> ! [B_x] :
% 163.65/163.52 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 163.65/163.52 => ! [B_xa] :
% 163.65/163.52 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_B_2))
% 163.65/163.52 => B_x != B_xa ) ) ) ).
% 163.65/163.52
% 163.65/163.52 fof(fact_insert__inter__insert,axiom,
% 163.65/163.52 ! [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)) ).
% 163.65/163.52
% 163.65/163.52 fof(fact_Int__lower1,axiom,
% 163.65/163.52 ! [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)) ).
% 163.65/163.52
% 163.65/163.52 fof(fact_Int__lower2,axiom,
% 163.65/163.52 ! [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)) ).
% 163.65/163.52
% 163.65/163.52 fof(fact_Int__absorb2,axiom,
% 163.65/163.52 ! [V_B_2,V_A_2,T_b] :
% 163.65/163.52 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 163.65/163.52 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = V_A_2 ) ).
% 163.65/163.52
% 163.65/163.52 fof(fact_Int__absorb1,axiom,
% 163.65/163.52 ! [V_A_2,V_B_2,T_b] :
% 163.65/163.52 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 163.65/163.52 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = V_B_2 ) ).
% 163.65/163.52
% 163.65/163.52 fof(fact_Int__greatest,axiom,
% 163.65/163.52 ! [V_B_2,V_A_2,V_C_2,T_b] :
% 163.65/163.52 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_A_2))
% 163.65/163.52 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_B_2))
% 163.65/163.52 => 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))) ) ) ).
% 163.65/163.52
% 163.65/163.52 fof(fact_Int__mono,axiom,
% 163.65/163.52 ! [V_D_2,V_B_2,V_C_2,V_A_2,T_b] :
% 163.65/163.52 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2))
% 163.65/163.52 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_D_2))
% 163.65/163.52 => 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))) ) ) ).
% 163.65/163.52
% 163.65/163.52 fof(fact_Int__UNIV__left,axiom,
% 163.65/163.52 ! [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 ).
% 163.65/163.52
% 163.65/163.52 fof(fact_Int__UNIV__right,axiom,
% 163.65/163.52 ! [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 ).
% 163.65/163.52
% 163.65/163.52 fof(fact_Int__Un__distrib,axiom,
% 163.65/163.52 ! [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)) ).
% 163.65/163.52
% 163.65/163.52 fof(fact_Un__Int__distrib,axiom,
% 163.65/163.52 ! [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)) ).
% 163.65/163.52
% 163.65/163.52 fof(fact_Int__Un__distrib2,axiom,
% 163.65/163.52 ! [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)) ).
% 163.65/163.52
% 163.65/163.52 fof(fact_Un__Int__distrib2,axiom,
% 163.65/163.52 ! [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)) ).
% 163.65/163.52
% 163.65/163.52 fof(fact_Un__Int__crazy,axiom,
% 163.65/163.52 ! [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)) ).
% 163.65/163.52
% 163.65/163.52 fof(fact_Diff__Int__distrib,axiom,
% 163.65/163.52 ! [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)) ).
% 163.65/163.52
% 163.65/163.52 fof(fact_Int__Diff,axiom,
% 163.65/163.52 ! [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)) ).
% 163.65/163.52
% 163.65/163.52 fof(fact_Diff__Int__distrib2,axiom,
% 163.65/163.52 ! [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)) ).
% 163.65/163.52
% 163.65/163.52 fof(fact_Diff__Int2,axiom,
% 163.65/163.52 ! [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) ).
% 163.65/163.52
% 163.65/163.52 fof(fact_converse__Int,axiom,
% 163.65/163.52 ! [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)) ).
% 163.65/163.52
% 163.65/163.52 fof(fact_inf__Int__eq,axiom,
% 163.65/163.52 ! [V_x_2,V_S_2,V_R_2,T_b] :
% 163.65/163.52 ( 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))
% 163.65/163.52 <=> 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))) ) ).
% 163.65/163.52
% 163.65/163.52 fof(fact_Collect__conj__eq,axiom,
% 163.65/163.52 ! [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)) ).
% 163.65/163.52
% 163.65/163.52 fof(fact_Int__UN__distrib2,axiom,
% 163.65/163.52 ! [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))) ).
% 163.65/163.52
% 163.65/163.52 fof(fact_UN__extend__simps_I4_J,axiom,
% 163.65/163.52 ! [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)) ).
% 163.65/163.52
% 163.65/163.52 fof(fact_Int__UN__distrib,axiom,
% 163.65/163.52 ! [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)) ).
% 163.65/163.52
% 163.65/163.52 fof(fact_UN__extend__simps_I5_J,axiom,
% 163.65/163.52 ! [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)) ).
% 163.65/163.52
% 163.65/163.52 fof(fact_UN__simps_I4_J,axiom,
% 163.65/163.52 ! [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) ).
% 163.65/163.52
% 163.65/163.52 fof(fact_UN__simps_I5_J,axiom,
% 163.65/163.52 ! [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)) ).
% 163.65/163.52
% 163.65/163.52 fof(fact_INT__Int__distrib,axiom,
% 163.65/163.52 ! [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)) ).
% 163.65/163.52
% 163.65/163.52 fof(fact_distrib__sup__le,axiom,
% 163.65/163.52 ! [V_z,V_y,V_x,T_a] :
% 163.65/163.52 ( class_Lattices_Olattice(T_a)
% 163.65/163.52 => 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)))) ) ).
% 163.65/163.52
% 163.65/163.52 fof(fact_distrib__inf__le,axiom,
% 163.65/163.52 ! [V_z,V_y,V_x,T_a] :
% 163.65/163.52 ( class_Lattices_Olattice(T_a)
% 163.65/163.52 => 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)))) ) ).
% 163.65/163.52
% 163.65/163.52 fof(fact_Int__insert__left__if1,axiom,
% 163.65/163.52 ! [V_B_2,V_C_2,V_a_2,T_b] :
% 163.65/163.52 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_C_2))
% 163.65/163.52 => 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)) ) ).
% 163.65/163.52
% 163.65/163.52 fof(fact_Int__insert__right__if1,axiom,
% 163.65/163.52 ! [V_B_2,V_A_2,V_a_2,T_b] :
% 163.65/163.52 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 163.65/163.52 => 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)) ) ).
% 163.65/163.52
% 163.65/163.52 fof(fact_Int__insert__left__if0,axiom,
% 163.65/163.52 ! [V_B_2,V_C_2,V_a_2,T_b] :
% 163.65/163.52 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_C_2))
% 163.65/163.52 => 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) ) ).
% 163.65/163.52
% 163.65/163.52 fof(fact_Int__insert__right__if0,axiom,
% 163.65/163.52 ! [V_B_2,V_A_2,V_a_2,T_b] :
% 163.65/163.52 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 163.65/163.52 => 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) ) ).
% 163.65/163.52
% 163.65/163.52 fof(fact_Int__insert__left,axiom,
% 163.65/163.52 ! [V_B_2,V_C_2,V_a_2,T_b] :
% 163.65/163.52 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_C_2))
% 163.65/163.52 => 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)) )
% 163.65/163.52 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_C_2))
% 163.65/163.52 => 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) ) ) ).
% 163.65/163.52
% 163.65/163.52 fof(fact_Int__insert__right,axiom,
% 163.65/163.52 ! [V_B_2,V_A_2,V_a_2,T_b] :
% 163.65/163.52 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 163.65/163.52 => 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)) )
% 163.65/163.52 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 163.65/163.52 => 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) ) ) ).
% 163.65/163.52
% 163.65/163.52 fof(fact_Diff__triv,axiom,
% 163.65/163.52 ! [V_B_2,V_A_2,T_b] :
% 163.65/163.52 ( 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))
% 163.65/163.52 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = V_A_2 ) ).
% 163.65/163.52
% 163.65/163.52 fof(fact_Diff__disjoint,axiom,
% 163.65/163.52 ! [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)) ).
% 163.65/163.52
% 163.65/163.52 fof(fact_Un__Int__assoc__eq,axiom,
% 163.65/163.52 ! [V_C_2,V_B_2,V_A_2,T_b] :
% 163.65/163.52 ( 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))
% 163.65/163.52 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_A_2)) ) ).
% 163.65/163.52
% 163.65/163.52 fof(fact_the__inv__into__f__f,axiom,
% 163.65/163.52 ! [V_x_2,V_A_2,V_f_2,T_c,T_b] :
% 163.65/163.52 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 163.65/163.52 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 163.65/163.52 => 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 ) ) ).
% 163.65/163.52
% 163.65/163.52 fof(fact_the__inv__into__f__eq,axiom,
% 163.65/163.52 ! [V_y_2,V_x_2,V_A_2,V_f_2,T_c,T_b] :
% 163.65/163.52 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 163.65/163.52 => ( hAPP(V_f_2,V_x_2) = V_y_2
% 163.65/163.52 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 163.65/163.52 => hAPP(c_Fun_Othe__inv__into(T_b,T_c,V_A_2,V_f_2),V_y_2) = V_x_2 ) ) ) ).
% 163.65/163.52
% 163.65/163.52 fof(fact_Diff__Int,axiom,
% 163.65/163.52 ! [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)) ).
% 163.65/163.52
% 163.65/163.52 fof(fact_Diff__Un,axiom,
% 163.65/163.52 ! [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)) ).
% 163.65/163.52
% 163.65/163.52 fof(fact_Un__Diff__Int,axiom,
% 163.65/163.52 ! [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 ).
% 163.65/163.52
% 163.65/163.52 fof(fact_the__inv__f__f,axiom,
% 163.65/163.52 ! [V_x_2,V_f_2,T_c,T_b] :
% 163.65/163.52 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 163.65/163.52 => 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 ) ).
% 163.65/163.52
% 163.65/163.52 fof(fact_Image__Int__subset,axiom,
% 163.65/163.52 ! [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)))) ).
% 163.65/163.52
% 163.65/163.52 fof(fact_Union__disjoint,axiom,
% 163.65/163.52 ! [V_A_2,V_C_2,T_b] :
% 163.65/163.52 ( 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))
% 163.65/163.52 <=> ! [B_x] :
% 163.65/163.52 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_x),V_C_2))
% 163.65/163.52 => 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)) ) ) ).
% 163.65/163.52
% 163.65/163.52 fof(fact_Int__def,axiom,
% 163.65/163.52 ! [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))) ).
% 163.65/163.52
% 163.65/163.52 fof(fact_Int__Collect,axiom,
% 163.65/163.52 ! [V_P_2,V_A_2,V_x_2,T_b] :
% 163.65/163.52 ( 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))))
% 163.65/163.52 <=> ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 163.65/163.52 & hBOOL(hAPP(V_P_2,V_x_2)) ) ) ).
% 163.65/163.52
% 163.65/163.52 fof(fact_Image__Id__on,axiom,
% 163.65/163.52 ! [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) ).
% 163.65/163.52
% 163.65/163.52 fof(fact_INT__absorb,axiom,
% 163.65/163.52 ! [V_A_2,T_c,V_I_2,V_k_2,T_b] :
% 163.65/163.52 ( hBOOL(hAPP(hAPP(c_member(T_b),V_k_2),V_I_2))
% 163.65/163.52 => 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) ) ).
% 163.65/163.52
% 163.65/163.52 fof(fact_INT__extend__simps_I1_J,axiom,
% 163.65/163.52 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] :
% 163.65/163.52 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.65/163.52 => 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 )
% 163.65/163.52 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.65/163.52 => 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)) ) ) ).
% 163.65/163.52
% 163.65/163.52 fof(fact_INT__extend__simps_I2_J,axiom,
% 163.65/163.52 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] :
% 163.65/163.52 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.65/163.52 => 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 )
% 163.65/163.52 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.65/163.52 => 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)) ) ) ).
% 163.65/163.52
% 163.65/163.52 fof(fact_INT__insert,axiom,
% 163.65/163.52 ! [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)) ).
% 163.65/163.52
% 163.65/163.52 fof(fact_INT__Un,axiom,
% 163.65/163.52 ! [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)) ).
% 163.65/163.52
% 163.65/163.52 fof(fact_congruent2__implies__congruent,axiom,
% 163.65/163.52 ! [V_a_2,V_f_2,V_r2_2,T_d,T_c,V_r1_2,V_A_2,T_b] :
% 163.65/163.52 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r1_2)
% 163.65/163.52 => ( c_Equiv__Relations_Ocongruent2(T_b,T_c,T_d,V_r1_2,V_r2_2,V_f_2)
% 163.65/163.52 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 163.65/163.52 => c_Equiv__Relations_Ocongruent(T_c,T_d,V_r2_2,hAPP(V_f_2,V_a_2)) ) ) ) ).
% 163.65/163.52
% 163.65/163.52 fof(fact_Int__Union2,axiom,
% 163.65/163.52 ! [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)) ).
% 163.65/163.52
% 163.65/163.52 fof(fact_Int__Union,axiom,
% 163.65/163.52 ! [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)) ).
% 163.65/163.52
% 163.65/163.52 fof(fact_inj__singleton,axiom,
% 163.65/163.52 ! [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))) ).
% 163.65/163.52
% 163.65/163.52 fof(fact_INT__simps_I1_J,axiom,
% 163.65/163.52 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] :
% 163.65/163.52 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.65/163.52 => 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)) )
% 163.65/163.52 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.65/163.52 => 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) ) ) ).
% 163.65/163.52
% 163.65/163.52 fof(fact_INT__simps_I2_J,axiom,
% 163.65/163.52 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] :
% 163.65/163.52 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.65/163.52 => 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)) )
% 163.65/163.52 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.65/163.52 => 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)) ) ) ).
% 163.65/163.52
% 163.65/163.52 fof(fact_Image__Int__eq,axiom,
% 163.65/163.52 ! [V_B_2,V_A_2,V_R_2,T_c,T_b] :
% 163.65/163.52 ( c_Relation_Osingle__valued(T_b,T_c,hAPP(c_Relation_Oconverse(T_c,T_b),V_R_2))
% 163.65/163.52 => 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)) ) ).
% 163.65/163.52
% 163.65/163.52 fof(fact_quotient__disj,axiom,
% 163.65/163.52 ! [V_Y_2,V_X_2,V_r_2,V_A_2,T_b] :
% 163.65/163.52 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 163.65/163.52 => ( 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)))
% 163.65/163.52 => ( 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)))
% 163.65/163.52 => ( V_X_2 = V_Y_2
% 163.65/163.52 | 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)) ) ) ) ) ).
% 163.65/163.52
% 163.65/163.52 fof(fact_UN__equiv__class__type2,axiom,
% 163.65/163.52 ! [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] :
% 163.65/163.52 ( c_Equiv__Relations_Oequiv(T_b,V_A1_2,V_r1_2)
% 163.65/163.52 => ( c_Equiv__Relations_Oequiv(T_c,V_A2_2,V_r2_2)
% 163.65/163.52 => ( c_Equiv__Relations_Ocongruent2(T_b,T_c,tc_fun(T_d,tc_HOL_Obool),V_r1_2,V_r2_2,V_f_2)
% 163.65/163.52 => ( 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)))
% 163.65/163.52 => ( 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)))
% 163.65/163.52 => ( ! [B_x1] :
% 163.65/163.52 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x1),V_A1_2))
% 163.65/163.52 => ! [B_x2] :
% 163.65/163.52 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x2),V_A2_2))
% 163.65/163.52 => hBOOL(hAPP(hAPP(c_member(tc_fun(T_d,tc_HOL_Obool)),hAPP(hAPP(V_f_2,B_x1),B_x2)),V_B_2)) ) )
% 163.65/163.52 => 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)) ) ) ) ) ) ) ).
% 163.65/163.52
% 163.65/163.52 fof(fact_UN__equiv__class__type,axiom,
% 163.65/163.52 ! [V_B_2,V_X_2,V_f_2,T_c,V_r_2,V_A_2,T_b] :
% 163.65/163.52 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 163.65/163.52 => ( c_Equiv__Relations_Ocongruent(T_b,tc_fun(T_c,tc_HOL_Obool),V_r_2,V_f_2)
% 163.65/163.52 => ( 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)))
% 163.65/163.52 => ( ! [B_x] :
% 163.65/163.52 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 163.65/163.52 => hBOOL(hAPP(hAPP(c_member(tc_fun(T_c,tc_HOL_Obool)),hAPP(V_f_2,B_x)),V_B_2)) )
% 163.65/163.52 => 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)) ) ) ) ) ).
% 163.65/163.52
% 163.65/163.52 fof(fact_inj__vimage__singleton,axiom,
% 163.65/163.52 ! [V_a_2,V_f_2,T_c,T_b] :
% 163.65/163.52 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 163.65/163.52 => 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))))) ) ).
% 163.65/163.52
% 163.65/163.52 fof(fact_inj__on__INTER,axiom,
% 163.65/163.52 ! [V_A_2,V_f_2,T_d,T_c,T_b,V_I_2] :
% 163.65/163.52 ( V_I_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.65/163.52 => ( ! [B_i] :
% 163.65/163.52 ( hBOOL(hAPP(hAPP(c_member(T_b),B_i),V_I_2))
% 163.65/163.52 => c_Fun_Oinj__on(T_c,T_d,V_f_2,hAPP(V_A_2,B_i)) )
% 163.65/163.52 => 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)) ) ) ).
% 163.65/163.52
% 163.65/163.52 fof(fact_Int__Collect__mono,axiom,
% 163.65/163.52 ! [V_Q_2,V_P_2,V_B_2,V_A_2,T_b] :
% 163.65/163.52 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 163.65/163.52 => ( ! [B_x] :
% 163.65/163.52 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 163.65/163.52 => ( hBOOL(hAPP(V_P_2,B_x))
% 163.65/163.52 => hBOOL(hAPP(V_Q_2,B_x)) ) )
% 163.65/163.52 => 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)))) ) ) ).
% 163.65/163.52
% 163.65/163.52 fof(fact_same__fstI,axiom,
% 163.65/163.52 ! [T_b,V_R_2,V_y_2,V_y_H_2,T_c,V_x_2,V_P_2] :
% 163.65/163.52 ( hBOOL(hAPP(V_P_2,V_x_2))
% 163.65/163.52 => ( 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)))
% 163.65/163.52 => 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))) ) ) ).
% 163.65/163.52
% 163.65/163.52 fof(fact_insert__partition,axiom,
% 163.65/163.52 ! [V_F_2,V_x_2,T_b] :
% 163.65/163.52 ( ~ hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_x_2),V_F_2))
% 163.65/163.52 => ( ! [B_x] :
% 163.65/163.52 ( 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)))
% 163.65/163.52 => ! [B_xa] :
% 163.65/163.52 ( 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)))
% 163.65/163.52 => ( B_x != B_xa
% 163.65/163.52 => 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)) ) ) )
% 163.65/163.52 => 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)) ) ) ).
% 163.65/163.52
% 163.65/163.52 fof(fact_inj__on__Un,axiom,
% 163.65/163.52 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 163.65/163.52 ( 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))
% 163.65/163.52 <=> ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 163.65/163.52 & c_Fun_Oinj__on(T_b,T_c,V_f_2,V_B_2)
% 163.65/163.52 & 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)) ) ) ).
% 163.65/163.52
% 163.65/163.52 fof(fact_inj__on__insert,axiom,
% 163.65/163.52 ! [V_A_2,V_a_2,V_f_2,T_c,T_b] :
% 163.65/163.52 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2))
% 163.65/163.52 <=> ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 163.65/163.52 & ~ 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))))))) ) ) ).
% 163.65/163.52
% 163.65/163.52 fof(fact_RangeI,axiom,
% 163.65/163.52 ! [V_r_2,V_b_2,V_a_2,T_c,T_b] :
% 163.65/163.52 ( 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))
% 163.65/163.52 => hBOOL(hAPP(hAPP(c_member(T_c),V_b_2),hAPP(c_Relation_ORange(T_b,T_c),V_r_2))) ) ).
% 163.65/163.52
% 163.65/163.52 fof(fact_image__eqI,axiom,
% 163.65/163.52 ! [T_b,V_A_2,T_c,V_x_2,V_f_2,V_b_2] :
% 163.65/163.52 ( V_b_2 = hAPP(V_f_2,V_x_2)
% 163.65/163.52 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),V_A_2))
% 163.65/163.52 => hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2))) ) ) ).
% 163.65/163.52
% 163.65/163.52 fof(fact_vimageI,axiom,
% 163.65/163.52 ! [T_c,V_B_2,T_b,V_b_2,V_a_2,V_f_2] :
% 163.65/163.52 ( hAPP(V_f_2,V_a_2) = V_b_2
% 163.65/163.52 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),V_B_2))
% 163.65/163.52 => hBOOL(hAPP(hAPP(c_member(T_c),V_a_2),hAPP(c_Set_Ovimage(T_c,T_b,V_f_2),V_B_2))) ) ) ).
% 163.65/163.52
% 163.65/163.52 fof(fact_image__vimage__subset,axiom,
% 163.65/163.52 ! [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)) ).
% 163.65/163.52
% 163.65/163.52 fof(fact_surj__image__vimage__eq,axiom,
% 163.65/163.52 ! [V_A_2,V_f_2,T_b,T_c] :
% 163.65/163.52 ( 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))
% 163.65/163.52 => 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 ) ).
% 163.65/163.52
% 163.65/163.52 fof(fact_vimage__code,axiom,
% 163.65/163.52 ! [V_x_2,V_A_2,V_f_2,T_c,T_b] :
% 163.65/163.52 ( hBOOL(hAPP(hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),V_A_2),V_x_2))
% 163.65/163.52 <=> hBOOL(hAPP(V_A_2,hAPP(V_f_2,V_x_2))) ) ).
% 163.65/163.52
% 163.65/163.52 fof(fact_image__Pow__surj,axiom,
% 163.65/163.52 ! [V_B_2,V_A_2,V_f_2,T_b,T_c] :
% 163.65/163.52 ( hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2) = V_B_2
% 163.65/163.52 => 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) ) ).
% 163.65/163.52
% 163.65/163.52 fof(fact_image__ident,axiom,
% 163.65/163.52 ! [V_Y_2,T_b] : hAPP(c_Set_Oimage(T_b,T_b,c_COMBI(T_b)),V_Y_2) = V_Y_2 ).
% 163.65/163.52
% 163.65/163.52 fof(fact_image__image,axiom,
% 163.65/163.52 ! [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) ).
% 163.65/163.52
% 163.65/163.52 fof(fact_vimage__ident,axiom,
% 163.65/163.52 ! [V_Y_2,T_b] : hAPP(c_Set_Ovimage(T_b,T_b,c_COMBI(T_b)),V_Y_2) = V_Y_2 ).
% 163.65/163.52
% 163.65/163.52 fof(fact_Range__Union,axiom,
% 163.65/163.52 ! [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)) ).
% 163.65/163.52
% 163.65/163.52 fof(fact_vimage__subsetD,axiom,
% 163.65/163.52 ! [V_A_2,V_B_2,V_f_2,T_b,T_c] :
% 163.65/163.52 ( 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))
% 163.65/163.52 => ( 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))
% 163.65/163.52 => 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))) ) ) ).
% 163.65/163.52
% 163.65/163.52 fof(fact_image__vimage__eq,axiom,
% 163.65/163.52 ! [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)))) ).
% 163.65/163.52
% 163.65/163.52 fof(fact_inj__vimage__image__eq,axiom,
% 163.65/163.52 ! [V_A_2,V_f_2,T_c,T_b] :
% 163.65/163.52 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 163.65/163.52 => 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 ) ).
% 163.65/163.52
% 163.65/163.52 fof(fact_image__iff,axiom,
% 163.65/163.52 ! [V_A_2,V_f_2,T_c,V_z_2,T_b] :
% 163.65/163.52 ( hBOOL(hAPP(hAPP(c_member(T_b),V_z_2),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2)))
% 163.65/163.52 <=> ? [B_x] :
% 163.65/163.52 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 163.65/163.52 & V_z_2 = hAPP(V_f_2,B_x) ) ) ).
% 163.65/163.52
% 163.65/163.52 fof(fact_imageI,axiom,
% 163.65/163.52 ! [V_f_2,T_c,V_A_2,V_x_2,T_b] :
% 163.65/163.52 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 163.65/163.52 => 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))) ) ).
% 163.65/163.52
% 163.65/163.52 fof(fact_rev__image__eqI,axiom,
% 163.65/163.52 ! [T_c,V_f_2,V_b_2,V_A_2,V_x_2,T_b] :
% 163.65/163.52 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 163.65/163.52 => ( V_b_2 = hAPP(V_f_2,V_x_2)
% 163.65/163.52 => hBOOL(hAPP(hAPP(c_member(T_c),V_b_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2))) ) ) ).
% 163.65/163.52
% 163.65/163.52 fof(fact_image__is__empty,axiom,
% 163.65/163.52 ! [V_A_2,V_f_2,T_b,T_c] :
% 163.65/163.52 ( 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))
% 163.65/163.52 <=> V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ) ).
% 163.65/163.52
% 163.65/163.52 fof(fact_image__empty,axiom,
% 163.65/163.52 ! [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)) ).
% 163.65/163.52
% 163.65/163.52 fof(fact_empty__is__image,axiom,
% 163.65/163.52 ! [V_A_2,V_f_2,T_c,T_b] :
% 163.65/163.52 ( 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)
% 163.65/163.52 <=> V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ) ).
% 163.65/163.52
% 163.65/163.52 fof(fact_image__insert,axiom,
% 163.65/163.52 ! [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)) ).
% 163.65/163.52
% 163.65/163.52 fof(fact_image__mono,axiom,
% 163.65/163.52 ! [V_f_2,T_c,V_B_2,V_A_2,T_b] :
% 163.65/163.52 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 163.65/163.52 => 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))) ) ).
% 163.65/163.52
% 163.65/163.52 fof(fact_subset__image__iff,axiom,
% 163.65/163.52 ! [V_A_2,V_f_2,T_c,V_B_2,T_b] :
% 163.65/163.52 ( 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)))
% 163.65/163.52 <=> ? [B_AA] :
% 163.65/163.52 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),B_AA),V_A_2))
% 163.65/163.52 & V_B_2 = hAPP(c_Set_Oimage(T_c,T_b,V_f_2),B_AA) ) ) ).
% 163.65/163.52
% 163.65/163.52 fof(fact_image__Un,axiom,
% 163.65/163.52 ! [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)) ).
% 163.65/163.52
% 163.65/163.52 fof(fact_vimage__eq,axiom,
% 163.65/163.52 ! [V_B_2,V_f_2,T_c,V_a_2,T_b] :
% 163.65/163.52 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),V_B_2)))
% 163.65/163.52 <=> hBOOL(hAPP(hAPP(c_member(T_c),hAPP(V_f_2,V_a_2)),V_B_2)) ) ).
% 163.65/163.52
% 163.65/163.52 fof(fact_vimageD,axiom,
% 163.65/163.52 ! [V_A_2,V_f_2,T_c,V_a_2,T_b] :
% 163.65/163.52 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),V_A_2)))
% 163.65/163.52 => hBOOL(hAPP(hAPP(c_member(T_c),hAPP(V_f_2,V_a_2)),V_A_2)) ) ).
% 163.65/163.52
% 163.65/163.52 fof(fact_vimageI2,axiom,
% 163.65/163.52 ! [T_c,V_A_2,V_a_2,V_f_2,T_b] :
% 163.65/163.52 ( hBOOL(hAPP(hAPP(c_member(T_b),hAPP(V_f_2,V_a_2)),V_A_2))
% 163.65/163.52 => hBOOL(hAPP(hAPP(c_member(T_c),V_a_2),hAPP(c_Set_Ovimage(T_c,T_b,V_f_2),V_A_2))) ) ).
% 163.65/163.52
% 163.65/163.52 fof(fact_vimage__empty,axiom,
% 163.65/163.52 ! [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)) ).
% 163.65/163.52
% 163.65/163.52 fof(fact_vimage__mono,axiom,
% 163.65/163.52 ! [V_f_2,T_c,V_B_2,V_A_2,T_b] :
% 163.65/163.52 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 163.65/163.52 => 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))) ) ).
% 163.65/163.52
% 163.65/163.52 fof(fact_vimage__UNIV,axiom,
% 163.65/163.52 ! [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)) ).
% 163.65/163.52
% 163.65/163.52 fof(fact_vimage__Un,axiom,
% 163.65/163.52 ! [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)) ).
% 163.65/163.52
% 163.65/163.52 fof(fact_vimage__Int,axiom,
% 163.65/163.52 ! [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)) ).
% 163.65/163.52
% 163.65/163.52 fof(fact_vimage__Diff,axiom,
% 163.65/163.52 ! [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)) ).
% 163.65/163.52
% 163.65/163.52 fof(fact_Cantors__paradox,axiom,
% 163.65/163.52 ! [V_A_2,T_b] :
% 163.65/163.52 ~ ? [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) ).
% 163.65/163.52
% 163.65/163.52 fof(fact_range__composition,axiom,
% 163.65/163.52 ! [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)))) ).
% 163.65/163.52
% 163.65/163.52 fof(fact_vimage__subsetI,axiom,
% 163.65/163.52 ! [V_A_2,V_B_2,V_f_2,T_c,T_b] :
% 163.65/163.52 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 163.65/163.52 => ( 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)))
% 163.65/163.52 => 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)) ) ) ).
% 163.65/163.52
% 163.65/163.52 fof(fact_UN__extend__simps_I10_J,axiom,
% 163.65/163.52 ! [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) ).
% 163.65/163.52
% 163.65/163.52 fof(fact_image__UN,axiom,
% 163.65/163.52 ! [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)) ).
% 163.65/163.52
% 163.65/163.52 fof(fact_UN__simps_I10_J,axiom,
% 163.65/163.52 ! [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)) ).
% 163.65/163.52
% 163.65/163.52 fof(fact_INT__extend__simps_I10_J,axiom,
% 163.65/163.52 ! [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) ).
% 163.65/163.52
% 163.65/163.52 fof(fact_INT__simps_I10_J,axiom,
% 163.65/163.52 ! [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)) ).
% 163.65/163.52
% 163.65/163.52 fof(fact_vimage__Collect__eq,axiom,
% 163.65/163.52 ! [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)) ).
% 163.65/163.52
% 163.65/163.52 fof(fact_vimage__UN,axiom,
% 163.65/163.52 ! [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)) ).
% 163.65/163.52
% 163.65/163.52 fof(fact_image__Pow__mono,axiom,
% 163.65/163.52 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 163.65/163.52 ( 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))
% 163.65/163.52 => 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))) ) ).
% 163.65/163.52
% 163.65/163.52 fof(fact_vimage__INT,axiom,
% 163.65/163.52 ! [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)) ).
% 163.65/163.52
% 163.65/163.52 fof(fact_Range__Id__on,axiom,
% 163.65/163.52 ! [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 ).
% 163.65/163.52
% 163.65/163.52 fof(fact_insert__image,axiom,
% 163.65/163.52 ! [V_f_2,T_c,V_A_2,V_x_2,T_b] :
% 163.65/163.52 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 163.65/163.52 => 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) ) ).
% 163.65/163.52
% 163.65/163.52 fof(fact_range__eqI,axiom,
% 163.65/163.52 ! [T_c,T_b,V_x_2,V_f_2,V_b_2] :
% 163.65/163.52 ( V_b_2 = hAPP(V_f_2,V_x_2)
% 163.65/163.52 => 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))))) ) ).
% 163.65/163.52
% 163.65/163.52 fof(fact_rangeI,axiom,
% 163.65/163.52 ! [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))))) ).
% 163.65/163.52
% 163.65/163.52 fof(fact_image__Int__subset,axiom,
% 163.65/163.52 ! [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)))) ).
% 163.65/163.52
% 163.65/163.52 fof(fact_image__diff__subset,axiom,
% 163.65/163.52 ! [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)))) ).
% 163.65/163.52
% 163.65/163.52 fof(fact_inj__image__eq__iff,axiom,
% 163.65/163.52 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 163.65/163.52 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 163.65/163.52 => ( 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)
% 163.65/163.52 <=> V_A_2 = V_B_2 ) ) ).
% 163.65/163.52
% 163.65/163.52 fof(fact_inj__on__Un__image__eq__iff,axiom,
% 163.65/163.52 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 163.65/163.52 ( 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))
% 163.65/163.52 => ( 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)
% 163.65/163.52 <=> V_A_2 = V_B_2 ) ) ).
% 163.65/163.52
% 163.65/163.52 fof(fact_inj__on__strict__subset,axiom,
% 163.65/163.52 ! [V_A_2,V_B_2,V_f_2,T_c,T_b] :
% 163.65/163.52 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_B_2)
% 163.65/163.52 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 163.65/163.52 => 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))) ) ) ).
% 163.65/163.52
% 163.65/163.52 fof(fact_inf__Int__eq2,axiom,
% 163.65/163.52 ! [V_y_2,V_x_2,V_S_2,V_R_2,T_c,T_b] :
% 163.65/163.52 ( 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))
% 163.65/163.52 <=> 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))) ) ).
% 163.65/163.52
% 163.65/163.52 fof(fact_image__constant__conv,axiom,
% 163.65/163.52 ! [V_c_2,T_c,T_b,V_A_2] :
% 163.65/163.52 ( ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.65/163.52 => 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)) )
% 163.65/163.52 & ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.65/163.52 => 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))) ) ) ).
% 163.65/163.52
% 163.65/163.52 fof(fact_the__inv__into__onto,axiom,
% 163.65/163.52 ! [V_A_2,V_f_2,T_c,T_b] :
% 163.65/163.52 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 163.65/163.52 => 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 ) ).
% 163.65/163.52
% 163.65/163.52 fof(fact_inj__on__the__inv__into,axiom,
% 163.65/163.52 ! [V_A_2,V_f_2,T_c,T_b] :
% 163.65/163.52 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 163.65/163.52 => 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)) ) ).
% 163.65/163.52
% 163.65/163.52 fof(fact_Field__Union,axiom,
% 163.65/163.52 ! [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)) ).
% 163.65/163.52
% 163.65/163.52 fof(fact_vimage__def,axiom,
% 163.65/163.52 ! [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)) ).
% 163.65/163.52
% 163.65/163.52 fof(fact_Union__image__eq,axiom,
% 163.65/163.52 ! [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) ).
% 163.65/163.52
% 163.65/163.52 fof(fact_UNION__eq__Union__image,axiom,
% 163.65/163.52 ! [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)) ).
% 163.65/163.52
% 163.65/163.52 fof(fact_Range__Int__subset,axiom,
% 163.65/163.52 ! [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)))) ).
% 163.65/163.52
% 163.65/163.52 fof(fact_Range__Diff__subset,axiom,
% 163.65/163.52 ! [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)))) ).
% 163.65/163.52
% 163.65/163.52 fof(fact_Range__empty__iff,axiom,
% 163.65/163.52 ! [V_r_2,T_b,T_c] :
% 163.65/163.52 ( hAPP(c_Relation_ORange(T_c,T_b),V_r_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.65/163.52 <=> V_r_2 = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool)) ) ).
% 163.65/163.52
% 163.65/163.52 fof(fact_Range__empty,axiom,
% 163.65/163.52 ! [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)) ).
% 163.65/163.52
% 163.65/163.52 fof(fact_image__Union,axiom,
% 163.65/163.52 ! [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)) ).
% 163.65/163.52
% 163.65/163.52 fof(fact_Range__Un__eq,axiom,
% 163.65/163.52 ! [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)) ).
% 163.65/163.52
% 163.65/163.52 fof(fact_inj__image__mem__iff,axiom,
% 163.65/163.52 ! [V_A_2,V_a_2,V_f_2,T_c,T_b] :
% 163.65/163.52 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 163.65/163.52 => ( 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)))
% 163.65/163.52 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ) ).
% 163.65/163.52
% 163.65/163.52 fof(fact_range__ex1__eq,axiom,
% 163.65/163.52 ! [V_b_2,V_f_2,T_c,T_b] :
% 163.65/163.52 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 163.65/163.52 => ( 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)))))
% 163.65/163.52 <=> ? [B_x] :
% 163.65/163.52 ( V_b_2 = hAPP(V_f_2,B_x)
% 163.65/163.52 & ! [B_y] :
% 163.65/163.52 ( V_b_2 = hAPP(V_f_2,B_y)
% 163.65/163.52 => B_y = B_x ) ) ) ) ).
% 163.65/163.52
% 163.65/163.52 fof(fact_vimage__Union,axiom,
% 163.65/163.52 ! [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)) ).
% 163.65/163.52
% 163.65/163.52 fof(fact_inj__image__subset__iff,axiom,
% 163.65/163.52 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 163.65/163.52 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 163.65/163.52 => ( 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)))
% 163.65/163.52 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ).
% 163.65/163.52
% 163.65/163.52 fof(fact_inj__on__image__Int,axiom,
% 163.65/163.52 ! [V_B_2,V_A_2,V_C_2,V_f_2,T_c,T_b] :
% 163.65/163.52 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_C_2)
% 163.65/163.52 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2))
% 163.65/163.52 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2))
% 163.65/163.52 => 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)) ) ) ) ).
% 163.65/163.52
% 163.65/163.52 fof(fact_image__Int,axiom,
% 163.65/163.52 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 163.65/163.52 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 163.65/163.52 => 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)) ) ).
% 163.65/163.52
% 163.65/163.52 fof(fact_inj__on__image__set__diff,axiom,
% 163.65/163.52 ! [V_B_2,V_A_2,V_C_2,V_f_2,T_c,T_b] :
% 163.65/163.52 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_C_2)
% 163.65/163.53 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2))
% 163.65/163.53 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2))
% 163.65/163.53 => 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)) ) ) ) ).
% 163.65/163.53
% 163.65/163.53 fof(fact_image__set__diff,axiom,
% 163.65/163.53 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 163.65/163.53 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 163.65/163.53 => 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)) ) ).
% 163.65/163.53
% 163.65/163.53 fof(fact_vimage__singleton__eq,axiom,
% 163.65/163.53 ! [V_b_2,V_f_2,T_c,V_a_2,T_b] :
% 163.65/163.53 ( 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))))))
% 163.65/163.53 <=> hAPP(V_f_2,V_a_2) = V_b_2 ) ).
% 163.65/163.53
% 163.65/163.53 fof(fact_vimage__insert,axiom,
% 163.65/163.53 ! [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)) ).
% 163.65/163.53
% 163.65/163.53 fof(fact_image__constant,axiom,
% 163.65/163.53 ! [V_c_2,T_c,V_A_2,V_x_2,T_b] :
% 163.65/163.53 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 163.65/163.53 => 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))) ) ).
% 163.65/163.53
% 163.65/163.53 fof(fact_f__the__inv__into__f,axiom,
% 163.65/163.53 ! [V_y_2,V_A_2,V_f_2,T_c,T_b] :
% 163.65/163.53 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 163.65/163.53 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_y_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)))
% 163.65/163.53 => 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 ) ) ).
% 163.65/163.53
% 163.65/163.53 fof(fact_image__eq__UN,axiom,
% 163.65/163.53 ! [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)))) ).
% 163.65/163.53
% 163.65/163.53 fof(fact_if__image__distrib,axiom,
% 163.65/163.53 ! [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))))) ).
% 163.65/163.53
% 163.65/163.53 fof(fact_vimage__const,axiom,
% 163.65/163.53 ! [T_c,V_A_2,V_c_2,T_b] :
% 163.65/163.53 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2))
% 163.65/163.53 => 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)) )
% 163.65/163.53 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2))
% 163.65/163.53 => 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)) ) ) ).
% 163.65/163.53
% 163.65/163.53 fof(fact_Un__Union__image,axiom,
% 163.65/163.53 ! [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))) ).
% 163.65/163.53
% 163.65/163.53 fof(fact_vimage__eq__UN,axiom,
% 163.65/163.53 ! [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))))) ).
% 163.65/163.53
% 163.65/163.53 fof(fact_Pow__insert,axiom,
% 163.65/163.53 ! [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))) ).
% 163.65/163.53
% 163.65/163.53 fof(fact_Range__iff,axiom,
% 163.65/163.53 ! [V_r_2,T_c,V_a_2,T_b] :
% 163.65/163.53 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Relation_ORange(T_c,T_b),V_r_2)))
% 163.65/163.53 <=> ? [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)) ) ).
% 163.65/163.53
% 163.65/163.53 fof(fact_Range__insert,axiom,
% 163.65/163.53 ! [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)) ).
% 163.65/163.53
% 163.65/163.53 fof(fact_the__inv__into__into,axiom,
% 163.65/163.53 ! [V_B_2,V_x_2,V_A_2,V_f_2,T_c,T_b] :
% 163.65/163.53 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 163.65/163.53 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)))
% 163.65/163.53 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 163.65/163.53 => 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)) ) ) ) ).
% 163.65/163.53
% 163.65/163.53 fof(fact_inj__on__iff__surj,axiom,
% 163.65/163.53 ! [V_A_H_2,T_c,T_b,V_A_2] :
% 163.65/163.53 ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.65/163.53 => ( ? [B_f] :
% 163.65/163.53 ( c_Fun_Oinj__on(T_b,T_c,B_f,V_A_2)
% 163.65/163.53 & 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)) )
% 163.65/163.53 <=> ? [B_g] : hAPP(c_Set_Oimage(T_c,T_b,B_g),V_A_H_2) = V_A_2 ) ) ).
% 163.65/163.53
% 163.65/163.53 fof(fact_RangeP__Range__eq,axiom,
% 163.65/163.53 ! [V_x_2,V_r_2,T_c,T_b] :
% 163.65/163.53 ( 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))
% 163.65/163.53 <=> hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),hAPP(c_Relation_ORange(T_b,T_c),V_r_2))) ) ).
% 163.65/163.53
% 163.65/163.53 fof(fact_in__lex__prod,axiom,
% 163.65/163.53 ! [V_s_2,V_r_2,V_b_H_2,V_a_H_2,V_b_2,V_a_2,T_c,T_b] :
% 163.65/163.53 ( 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)))
% 163.65/163.53 <=> ( 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))
% 163.65/163.53 | ( V_a_2 = V_a_H_2
% 163.65/163.53 & 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)) ) ) ) ).
% 163.65/163.53
% 163.65/163.53 fof(fact_image__INT,axiom,
% 163.65/163.53 ! [V_j_2,V_B_2,V_A_2,T_d,V_C_2,V_f_2,T_c,T_b] :
% 163.65/163.53 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_C_2)
% 163.65/163.53 => ( ! [B_x] :
% 163.65/163.53 ( hBOOL(hAPP(hAPP(c_member(T_d),B_x),V_A_2))
% 163.65/163.53 => 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)) )
% 163.65/163.53 => ( hBOOL(hAPP(hAPP(c_member(T_d),V_j_2),V_A_2))
% 163.65/163.53 => 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)) ) ) ) ).
% 163.65/163.53
% 163.65/163.53 fof(fact_fun__upd__image,axiom,
% 163.65/163.53 ! [V_y_2,V_f_2,T_c,V_A_2,V_x_2,T_b] :
% 163.65/163.53 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 163.65/163.53 => 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)))))) )
% 163.65/163.53 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 163.65/163.53 => 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) ) ) ).
% 163.65/163.53
% 163.65/163.53 fof(fact_RangeE,axiom,
% 163.65/163.53 ! [V_r_2,T_c,V_b_2,T_b] :
% 163.65/163.53 ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(c_Relation_ORange(T_c,T_b),V_r_2)))
% 163.65/163.53 => ~ ! [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)) ) ).
% 163.65/163.53
% 163.65/163.53 fof(fact_fun__left__comm__idem__remove,axiom,
% 163.65/163.53 ! [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))))) ).
% 163.65/163.53
% 163.65/163.53 fof(fact_Diff1__fold__graph,axiom,
% 163.65/163.53 ! [V_y_2,V_x_2,V_A_2,V_z_2,V_f_2,T_c,T_b] :
% 163.65/163.53 ( 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))
% 163.65/163.53 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 163.65/163.53 => 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))) ) ) ).
% 163.65/163.53
% 163.65/163.53 fof(fact_DomainI,axiom,
% 163.65/163.53 ! [V_r_2,V_b_2,V_a_2,T_c,T_b] :
% 163.65/163.53 ( 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))
% 163.65/163.53 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Relation_ODomain(T_b,T_c),V_r_2))) ) ).
% 163.65/163.53
% 163.65/163.53 fof(fact_fun__upd__triv,axiom,
% 163.65/163.53 ! [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 ).
% 163.65/163.53
% 163.65/163.53 fof(fact_inf2I,axiom,
% 163.65/163.53 ! [T_c,T_b,V_B_2,V_y_2,V_x_2,V_A_2] :
% 163.65/163.53 ( hBOOL(hAPP(hAPP(V_A_2,V_x_2),V_y_2))
% 163.65/163.53 => ( hBOOL(hAPP(hAPP(V_B_2,V_x_2),V_y_2))
% 163.65/163.53 => 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)) ) ) ).
% 163.65/163.53
% 163.65/163.53 fof(fact_inf2E,axiom,
% 163.65/163.53 ! [V_y_2,V_x_2,V_B_2,V_A_2,T_c,T_b] :
% 163.65/163.53 ( 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))
% 163.65/163.53 => ~ ( hBOOL(hAPP(hAPP(V_A_2,V_x_2),V_y_2))
% 163.65/163.53 => ~ hBOOL(hAPP(hAPP(V_B_2,V_x_2),V_y_2)) ) ) ).
% 163.65/163.53
% 163.65/163.53 fof(fact_RangeP_Ointros,axiom,
% 163.65/163.53 ! [T_c,T_b,V_b_2,V_a_2,V_r_2] :
% 163.65/163.53 ( hBOOL(hAPP(hAPP(V_r_2,V_a_2),V_b_2))
% 163.65/163.53 => hBOOL(hAPP(c_Predicate_ORangeP(T_b,T_c,V_r_2),V_b_2)) ) ).
% 163.65/163.53
% 163.65/163.53 fof(fact_inf2D1,axiom,
% 163.65/163.53 ! [V_y_2,V_x_2,V_B_2,V_A_2,T_c,T_b] :
% 163.65/163.53 ( 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))
% 163.65/163.53 => hBOOL(hAPP(hAPP(V_A_2,V_x_2),V_y_2)) ) ).
% 163.65/163.53
% 163.65/163.53 fof(fact_inf2D2,axiom,
% 163.65/163.53 ! [V_y_2,V_x_2,V_B_2,V_A_2,T_c,T_b] :
% 163.65/163.53 ( 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))
% 163.65/163.53 => hBOOL(hAPP(hAPP(V_B_2,V_x_2),V_y_2)) ) ).
% 163.65/163.53
% 163.65/163.53 fof(fact_fun__left__comm__idem_Ofun__left__idem,axiom,
% 163.65/163.53 ! [V_z_2,V_x_2,V_f_2,T_c,T_b] :
% 163.65/163.53 ( c_Finite__Set_Ofun__left__comm__idem(T_b,T_c,V_f_2)
% 163.65/163.53 => 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) ) ).
% 163.65/163.53
% 163.65/163.53 fof(fact_RangeP_Oequations,axiom,
% 163.65/163.53 ! [V_a2_2,V_r_2,T_c,T_b] :
% 163.65/163.53 ( hBOOL(hAPP(c_Predicate_ORangeP(T_b,T_c,V_r_2),V_a2_2))
% 163.65/163.53 <=> ? [B_a] : hBOOL(hAPP(hAPP(V_r_2,B_a),V_a2_2)) ) ).
% 163.65/163.53
% 163.65/163.53 fof(fact_fun__upd__idem__iff,axiom,
% 163.65/163.53 ! [V_y_2,V_x_2,V_f_2,T_c,T_b] :
% 163.65/163.53 ( c_Fun_Ofun__upd(T_b,T_c,V_f_2,V_x_2,V_y_2) = V_f_2
% 163.65/163.53 <=> hAPP(V_f_2,V_x_2) = V_y_2 ) ).
% 163.65/163.53
% 163.65/163.53 fof(fact_fun__upd__upd,axiom,
% 163.65/163.53 ! [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) ).
% 163.65/163.53
% 163.65/163.53 fof(fact_fun__upd__same,axiom,
% 163.65/163.53 ! [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 ).
% 163.65/163.53
% 163.65/163.53 fof(fact_fun__upd__apply,axiom,
% 163.65/163.53 ! [V_y_2,V_f_2,T_c,T_b,V_x_2,V_z_2] :
% 163.65/163.53 ( ( V_z_2 = V_x_2
% 163.65/163.53 => hAPP(c_Fun_Ofun__upd(T_b,T_c,V_f_2,V_x_2,V_y_2),V_z_2) = V_y_2 )
% 163.65/163.53 & ( V_z_2 != V_x_2
% 163.65/163.53 => 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) ) ) ).
% 163.65/163.53
% 163.65/163.53 fof(fact_fun__upd__twist,axiom,
% 163.65/163.53 ! [V_d_2,V_b_2,V_m_2,T_c,T_b,V_c_2,V_a_2] :
% 163.65/163.53 ( V_a_2 != V_c_2
% 163.65/163.53 => 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) ) ).
% 163.65/163.53
% 163.65/163.53 fof(fact_fun__upd__other,axiom,
% 163.65/163.53 ! [V_y_2,V_f_2,T_c,T_b,V_x_2,V_z_2] :
% 163.65/163.53 ( V_z_2 != V_x_2
% 163.65/163.53 => 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) ) ).
% 163.65/163.53
% 163.65/163.53 fof(fact_fun__upd__idem,axiom,
% 163.65/163.53 ! [T_b,T_c,V_y_2,V_x_2,V_f_2] :
% 163.65/163.53 ( hAPP(V_f_2,V_x_2) = V_y_2
% 163.65/163.53 => c_Fun_Ofun__upd(T_c,T_b,V_f_2,V_x_2,V_y_2) = V_f_2 ) ).
% 163.65/163.53
% 163.65/163.53 fof(fact_Domain__Union,axiom,
% 163.65/163.53 ! [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)) ).
% 163.65/163.53
% 163.65/163.53 fof(fact_fun__upd__def,axiom,
% 163.65/163.53 ! [V_b_2,V_f_2,T_c,T_b,V_a_2,V_x_2] :
% 163.65/163.53 ( ( V_x_2 = V_a_2
% 163.65/163.53 => hAPP(c_Fun_Ofun__upd(T_b,T_c,V_f_2,V_a_2,V_b_2),V_x_2) = V_b_2 )
% 163.65/163.53 & ( V_x_2 != V_a_2
% 163.65/163.53 => 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) ) ) ).
% 163.65/163.53
% 163.65/163.53 fof(fact_fun__left__comm__idem_Ofun__left__comm__idem__apply,axiom,
% 163.65/163.53 ! [V_g_2,T_d,V_f_2,T_c,T_b] :
% 163.65/163.53 ( c_Finite__Set_Ofun__left__comm__idem(T_b,T_c,V_f_2)
% 163.65/163.53 => 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)) ) ).
% 163.65/163.53
% 163.65/163.53 fof(fact_fold__graph_Oequations_I1_J,axiom,
% 163.65/163.53 ! [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)) ).
% 163.65/163.53
% 163.65/163.53 fof(fact_fold__graph_OemptyI,axiom,
% 163.65/163.53 ! [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)) ).
% 163.65/163.53
% 163.65/163.53 fof(fact_empty__fold__graphE,axiom,
% 163.65/163.53 ! [V_x_2,V_z_2,V_f_2,T_c,T_b] :
% 163.65/163.53 ( 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))
% 163.65/163.53 => V_x_2 = V_z_2 ) ).
% 163.65/163.53
% 163.65/163.53 fof(fact_Domain__Id__on,axiom,
% 163.65/163.53 ! [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 ).
% 163.65/163.53
% 163.65/163.53 fof(fact_fun__left__comm__idem__insert,axiom,
% 163.65/163.53 ! [T_b] : c_Finite__Set_Ofun__left__comm__idem(T_b,tc_fun(T_b,tc_HOL_Obool),c_Set_Oinsert(T_b)) ).
% 163.65/163.53
% 163.65/163.53 fof(fact_fun__left__comm__idem__sup,axiom,
% 163.65/163.53 ! [T_b] :
% 163.65/163.53 ( class_Lattices_Osemilattice__sup(T_b)
% 163.65/163.53 => c_Finite__Set_Ofun__left__comm__idem(T_b,T_b,c_Lattices_Osemilattice__sup__class_Osup(T_b)) ) ).
% 163.65/163.53
% 163.65/163.53 fof(fact_fun__left__comm__idem__inf,axiom,
% 163.65/163.53 ! [T_b] :
% 163.65/163.53 ( class_Lattices_Osemilattice__inf(T_b)
% 163.65/163.53 => c_Finite__Set_Ofun__left__comm__idem(T_b,T_b,c_Lattices_Osemilattice__inf__class_Oinf(T_b)) ) ).
% 163.65/163.53
% 163.65/163.53 fof(fact_fold__graph_OinsertI,axiom,
% 163.65/163.53 ! [V_y_2,V_z_2,V_f_2,T_c,V_A_2,V_x_2,T_b] :
% 163.65/163.53 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 163.65/163.53 => ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,V_A_2),V_y_2))
% 163.65/163.53 => 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))) ) ) ).
% 163.65/163.53
% 163.65/163.53 fof(fact_Domain__Diff__subset,axiom,
% 163.65/163.53 ! [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)))) ).
% 163.65/163.53
% 163.65/163.53 fof(fact_Domain__empty,axiom,
% 163.65/163.53 ! [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)) ).
% 163.65/163.53
% 163.65/163.53 fof(fact_Domain__empty__iff,axiom,
% 163.65/163.53 ! [V_r_2,T_c,T_b] :
% 163.65/163.53 ( hAPP(c_Relation_ODomain(T_b,T_c),V_r_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.65/163.53 <=> V_r_2 = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)) ) ).
% 163.65/163.53
% 163.65/163.53 fof(fact_Domain__mono,axiom,
% 163.65/163.53 ! [V_s_2,V_r_2,T_c,T_b] :
% 163.65/163.53 ( 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))
% 163.65/163.53 => 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))) ) ).
% 163.65/163.53
% 163.65/163.53 fof(fact_Domain__Un__eq,axiom,
% 163.65/163.53 ! [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)) ).
% 163.65/163.53
% 163.65/163.53 fof(fact_Range__converse,axiom,
% 163.65/163.53 ! [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) ).
% 163.65/163.53
% 163.65/163.53 fof(fact_Domain__converse,axiom,
% 163.65/163.53 ! [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) ).
% 163.65/163.53
% 163.65/163.53 fof(fact_Range__def,axiom,
% 163.65/163.53 ! [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)) ).
% 163.65/163.53
% 163.65/163.53 fof(fact_Domain__iff,axiom,
% 163.65/163.53 ! [V_r_2,T_c,V_a_2,T_b] :
% 163.65/163.53 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Relation_ODomain(T_b,T_c),V_r_2)))
% 163.65/163.53 <=> ? [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)) ) ).
% 163.65/163.53
% 163.65/163.53 fof(fact_Domain__insert,axiom,
% 163.65/163.53 ! [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)) ).
% 163.65/163.53
% 163.65/163.53 fof(fact_Domain__Int__subset,axiom,
% 163.65/163.53 ! [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)))) ).
% 163.65/163.53
% 163.65/163.53 fof(fact_inj__on__fun__updI,axiom,
% 163.65/163.53 ! [V_x_2,V_y_2,V_A_2,V_f_2,T_c,T_b] :
% 163.65/163.53 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 163.65/163.53 => ( ~ hBOOL(hAPP(hAPP(c_member(T_c),V_y_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)))
% 163.65/163.53 => 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) ) ) ).
% 163.65/163.53
% 163.65/163.53 fof(fact_Field__def,axiom,
% 163.65/163.53 ! [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)) ).
% 163.65/163.53
% 163.65/163.53 fof(fact_DomainP__Domain__eq,axiom,
% 163.65/163.53 ! [V_x_2,V_r_2,T_c,T_b] :
% 163.65/163.53 ( 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))
% 163.65/163.53 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_Relation_ODomain(T_b,T_c),V_r_2))) ) ).
% 163.65/163.53
% 163.65/163.53 fof(fact_fold1Set_Ointros,axiom,
% 163.65/163.53 ! [V_x_2,V_A_2,V_a_2,V_f_2,T_b] :
% 163.65/163.53 ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_b,V_f_2,V_a_2,V_A_2),V_x_2))
% 163.65/163.53 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 163.65/163.53 => 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)) ) ) ).
% 163.65/163.53
% 163.65/163.53 fof(fact_DomainE,axiom,
% 163.65/163.53 ! [V_r_2,T_c,V_a_2,T_b] :
% 163.65/163.53 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Relation_ODomain(T_b,T_c),V_r_2)))
% 163.65/163.53 => ~ ! [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)) ) ).
% 163.65/163.53
% 163.65/163.53 fof(fact_in__measure,axiom,
% 163.65/163.53 ! [V_f_2,V_y_2,V_x_2,T_b] :
% 163.65/163.53 ( 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)))
% 163.65/163.53 <=> 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))) ) ).
% 163.65/163.53
% 163.65/163.53 fof(fact_mlex__leq,axiom,
% 163.65/163.53 ! [V_R_2,T_b,V_y_2,V_x_2,V_f_2] :
% 163.65/163.53 ( 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)))
% 163.65/163.53 => ( 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))
% 163.65/163.53 => 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))) ) ) ).
% 163.65/163.53
% 163.65/163.53 fof(fact_mlex__less,axiom,
% 163.65/163.53 ! [V_R_2,T_b,V_y_2,V_x_2,V_f_2] :
% 163.65/163.53 ( 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)))
% 163.65/163.53 => 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))) ) ).
% 163.65/163.53
% 163.65/163.53 fof(fact_wf__Un,axiom,
% 163.65/163.53 ! [V_s_2,V_r_2,T_b] :
% 163.65/163.53 ( c_Wellfounded_Owf(T_b,V_r_2)
% 163.65/163.53 => ( c_Wellfounded_Owf(T_b,V_s_2)
% 163.65/163.53 => ( 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))
% 163.65/163.53 => 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)) ) ) ) ).
% 163.65/163.53
% 163.65/163.53 fof(fact_fold__graph__permute__diff,axiom,
% 163.65/163.53 ! [V_a_2,V_x_2,V_A_2,V_b_2,T_b] :
% 163.65/163.53 ( class_Groups_Oab__semigroup__mult(T_b)
% 163.65/163.53 => ( 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))
% 163.65/163.53 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 163.65/163.53 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),V_A_2))
% 163.65/163.53 => 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)) ) ) ) ) ).
% 163.65/163.53
% 163.65/163.53 fof(fact_irrefl__diff__Id,axiom,
% 163.65/163.53 ! [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))) ).
% 163.65/163.53
% 163.65/163.53 fof(fact_DomainP_Ointros,axiom,
% 163.65/163.53 ! [T_c,T_b,V_b_2,V_a_2,V_r_2] :
% 163.65/163.53 ( hBOOL(hAPP(hAPP(V_r_2,V_a_2),V_b_2))
% 163.65/163.53 => hBOOL(hAPP(c_Predicate_ODomainP(T_b,T_c,V_r_2),V_a_2)) ) ).
% 163.65/163.53
% 163.65/163.53 fof(fact_wf__empty,axiom,
% 163.65/163.53 ! [T_b] : c_Wellfounded_Owf(T_b,c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool))) ).
% 163.65/163.53
% 163.65/163.53 fof(fact_wf__lex__prod,axiom,
% 163.65/163.53 ! [V_rb_2,T_c,V_ra_2,T_b] :
% 163.65/163.53 ( c_Wellfounded_Owf(T_b,V_ra_2)
% 163.65/163.53 => ( c_Wellfounded_Owf(T_c,V_rb_2)
% 163.65/163.53 => c_Wellfounded_Owf(tc_prod(T_b,T_c),c_Wellfounded_Olex__prod(T_b,T_c,V_ra_2,V_rb_2)) ) ) ).
% 163.65/163.53
% 163.65/163.53 fof(fact_wf__measure,axiom,
% 163.65/163.53 ! [V_f_2,T_b] : c_Wellfounded_Owf(T_b,hAPP(c_Wellfounded_Omeasure(T_b),V_f_2)) ).
% 163.65/163.53
% 163.65/163.53 fof(fact_IdI,axiom,
% 163.65/163.53 ! [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))) ).
% 163.65/163.53
% 163.65/163.53 fof(fact_wf__mlex,axiom,
% 163.65/163.53 ! [V_f_2,V_R_2,T_b] :
% 163.65/163.53 ( c_Wellfounded_Owf(T_b,V_R_2)
% 163.65/163.53 => c_Wellfounded_Owf(T_b,c_Wellfounded_Omlex__prod(T_b,V_f_2,V_R_2)) ) ).
% 163.65/163.53
% 163.65/163.53 fof(fact_termination__basic__simps_I5_J,axiom,
% 163.65/163.53 ! [V_y,V_x] :
% 163.65/163.53 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x),V_y))
% 163.65/163.53 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_x),V_y)) ) ).
% 163.65/163.53
% 163.65/163.53 fof(fact_ab__semigroup__mult__class_Omult__ac_I1_J,axiom,
% 163.65/163.53 ! [V_c,V_b,V_a,T_a] :
% 163.65/163.53 ( class_Groups_Oab__semigroup__mult(T_a)
% 163.65/163.53 => 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)) ) ).
% 163.65/163.53
% 163.65/163.53 fof(fact_mult__left__idem,axiom,
% 163.65/163.53 ! [V_b,V_a,T_a] :
% 163.65/163.53 ( class_Lattices_Oab__semigroup__idem__mult(T_a)
% 163.65/163.53 => 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) ) ).
% 163.65/163.53
% 163.65/163.53 fof(fact_mult__idem,axiom,
% 163.65/163.53 ! [V_x,T_a] :
% 163.65/163.53 ( class_Lattices_Oab__semigroup__idem__mult(T_a)
% 163.65/163.53 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),V_x) = V_x ) ).
% 163.65/163.53
% 163.65/163.53 fof(fact_times_Oidem,axiom,
% 163.65/163.53 ! [V_a,T_a] :
% 163.65/163.53 ( class_Lattices_Oab__semigroup__idem__mult(T_a)
% 163.65/163.53 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_a) = V_a ) ).
% 163.65/163.53
% 163.65/163.53 fof(fact_wf__subset,axiom,
% 163.65/163.53 ! [V_p_2,V_r_2,T_b] :
% 163.65/163.53 ( c_Wellfounded_Owf(T_b,V_r_2)
% 163.65/163.53 => ( 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))
% 163.65/163.53 => c_Wellfounded_Owf(T_b,V_p_2) ) ) ).
% 163.65/163.53
% 163.65/163.53 fof(fact_wf__Int2,axiom,
% 163.65/163.53 ! [V_r_H_2,V_r_2,T_b] :
% 163.65/163.53 ( c_Wellfounded_Owf(T_b,V_r_2)
% 163.65/163.53 => 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)) ) ).
% 163.65/163.53
% 163.65/163.53 fof(fact_wf__Int1,axiom,
% 163.65/163.53 ! [V_r_H_2,V_r_2,T_b] :
% 163.65/163.53 ( c_Wellfounded_Owf(T_b,V_r_2)
% 163.65/163.53 => 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)) ) ).
% 163.65/163.53
% 163.65/163.53 fof(fact_fun__left__comm__idem,axiom,
% 163.65/163.53 ! [T_b] :
% 163.65/163.53 ( class_Lattices_Oab__semigroup__idem__mult(T_b)
% 163.65/163.53 => c_Finite__Set_Ofun__left__comm__idem(T_b,T_b,c_Groups_Otimes__class_Otimes(T_b)) ) ).
% 163.65/163.53
% 163.65/163.53 fof(fact_Image__Id,axiom,
% 163.65/163.53 ! [V_A_2,T_b] : hAPP(c_Relation_OImage(T_b,T_b,c_Relation_OId(T_b)),V_A_2) = V_A_2 ).
% 163.65/163.53
% 163.65/163.53 fof(fact_converse__Id,axiom,
% 163.65/163.53 ! [T_b] : hAPP(c_Relation_Oconverse(T_b,T_b),c_Relation_OId(T_b)) = c_Relation_OId(T_b) ).
% 163.65/163.53
% 163.65/163.53 fof(fact_single__valued__Id,axiom,
% 163.65/163.53 ! [T_b] : c_Relation_Osingle__valued(T_b,T_b,c_Relation_OId(T_b)) ).
% 163.65/163.53
% 163.65/163.53 fof(fact_wf__not__refl,axiom,
% 163.65/163.53 ! [V_a_2,V_r_2,T_b] :
% 163.65/163.53 ( c_Wellfounded_Owf(T_b,V_r_2)
% 163.65/163.53 => ~ 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)) ) ).
% 163.65/163.53
% 163.65/163.53 fof(fact_wf__not__sym,axiom,
% 163.65/163.53 ! [V_x_2,V_a_2,V_r_2,T_b] :
% 163.65/163.53 ( c_Wellfounded_Owf(T_b,V_r_2)
% 163.65/163.53 => ( 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))
% 163.65/163.53 => ~ 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)) ) ) ).
% 163.65/163.53
% 163.65/163.53 fof(fact_wf__asym,axiom,
% 163.65/163.53 ! [V_x_2,V_a_2,V_r_2,T_b] :
% 163.65/163.53 ( c_Wellfounded_Owf(T_b,V_r_2)
% 163.65/163.53 => ( 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))
% 163.65/163.53 => ~ 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)) ) ) ).
% 163.65/163.53
% 163.65/163.53 fof(fact_wf__irrefl,axiom,
% 163.65/163.53 ! [V_a_2,V_r_2,T_b] :
% 163.65/163.53 ( c_Wellfounded_Owf(T_b,V_r_2)
% 163.65/163.53 => ~ 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)) ) ).
% 163.65/163.53
% 163.65/163.53 fof(fact_fold1Set__nonempty,axiom,
% 163.65/163.53 ! [V_x_2,V_A_2,V_f_2,T_b] :
% 163.65/163.53 ( hBOOL(hAPP(c_Finite__Set_Ofold1Set(T_b,V_f_2,V_A_2),V_x_2))
% 163.65/163.53 => V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 163.65/163.53
% 163.65/163.53 fof(fact_empty__fold1SetE,axiom,
% 163.65/163.53 ! [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)) ).
% 163.65/163.53
% 163.65/163.53 fof(fact_pair__in__Id__conv,axiom,
% 163.65/163.53 ! [V_b_2,V_a_2,T_b] :
% 163.65/163.53 ( 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)))
% 163.65/163.53 <=> V_a_2 = V_b_2 ) ).
% 163.65/163.53
% 163.65/163.53 fof(fact_Domain__Id,axiom,
% 163.65/163.53 ! [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)) ).
% 163.65/163.53
% 163.65/163.53 fof(fact_Range__Id,axiom,
% 163.65/163.53 ! [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)) ).
% 163.65/163.53
% 163.65/163.53 fof(fact_wfE__pf,axiom,
% 163.65/163.53 ! [V_A_2,V_R_2,T_b] :
% 163.65/163.53 ( c_Wellfounded_Owf(T_b,V_R_2)
% 163.65/163.53 => ( 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)))
% 163.65/163.53 => V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ).
% 163.65/163.53
% 163.65/163.53 fof(fact_fold__graph__insert__swap,axiom,
% 163.65/163.53 ! [V_z_2,V_y_2,V_A_2,V_b_2,T_b] :
% 163.65/163.53 ( class_Groups_Oab__semigroup__mult(T_b)
% 163.65/163.53 => ( 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))
% 163.65/163.53 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),V_A_2))
% 163.65/163.53 => 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))) ) ) ) ).
% 163.65/163.53
% 163.65/163.53 fof(fact_fold1Set__sing,axiom,
% 163.65/163.53 ! [V_b_2,V_a_2,V_f_2,T_b] :
% 163.65/163.53 ( 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))
% 163.65/163.53 <=> V_a_2 = V_b_2 ) ).
% 163.65/163.53
% 163.65/163.53 fof(fact_total__on__diff__Id,axiom,
% 163.65/163.53 ! [V_r_2,V_A_2,T_b] :
% 163.65/163.53 ( 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)))
% 163.65/163.53 <=> c_Relation_Ototal__on(T_b,V_A_2,V_r_2) ) ).
% 163.65/163.53
% 163.65/163.53 fof(fact_reflcl__set__eq,axiom,
% 163.65/163.53 ! [V_y_2,V_x_2,V_r_2,T_b] :
% 163.65/163.53 ( 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))
% 163.65/163.53 <=> 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)))) ) ).
% 163.65/163.53
% 163.65/163.53 fof(fact_less__diff__iff,axiom,
% 163.65/163.53 ! [V_n_2,V_m_2,V_k_2] :
% 163.65/163.53 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),V_m_2))
% 163.65/163.53 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),V_n_2))
% 163.65/163.53 => ( 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)))
% 163.65/163.53 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ) ) ).
% 163.65/163.53
% 163.65/163.53 fof(fact_diff__less__mono,axiom,
% 163.65/163.53 ! [V_c,V_b,V_a] :
% 163.65/163.53 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_a),V_b))
% 163.65/163.53 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_c),V_a))
% 163.65/163.53 => 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))) ) ) ).
% 163.65/163.53
% 163.65/163.53 fof(fact_nat__less__le,axiom,
% 163.65/163.53 ! [V_n_2,V_m_2] :
% 163.65/163.53 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2))
% 163.65/163.53 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2))
% 163.65/163.53 & V_m_2 != V_n_2 ) ) ).
% 163.65/163.53
% 163.65/163.53 fof(fact_le__eq__less__or__eq,axiom,
% 163.65/163.53 ! [V_n_2,V_m_2] :
% 163.65/163.53 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2))
% 163.65/163.53 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2))
% 163.65/163.53 | V_m_2 = V_n_2 ) ) ).
% 163.65/163.53
% 163.65/163.53 fof(fact_less__imp__le__nat,axiom,
% 163.65/163.53 ! [V_n,V_m] :
% 163.65/163.53 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 163.65/163.53 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) ) ).
% 163.65/163.53
% 163.65/163.53 fof(fact_le__neq__implies__less,axiom,
% 163.65/163.53 ! [V_n,V_m] :
% 163.65/163.53 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 163.65/163.53 => ( V_m != V_n
% 163.65/163.53 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ) ).
% 163.65/163.53
% 163.65/163.53 fof(fact_less__or__eq__imp__le,axiom,
% 163.65/163.53 ! [V_n,V_m] :
% 163.65/163.53 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 163.65/163.53 | V_m = V_n )
% 163.65/163.53 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) ) ).
% 163.65/163.53
% 163.65/163.53 fof(fact_diff__mult__distrib2,axiom,
% 163.65/163.53 ! [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)) ).
% 163.65/163.53
% 163.65/163.53 fof(fact_diff__mult__distrib,axiom,
% 163.65/163.53 ! [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)) ).
% 163.65/163.53
% 163.65/163.53 fof(fact_diff__commute,axiom,
% 163.65/163.53 ! [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) ).
% 163.65/163.53
% 163.65/163.53 fof(fact_nat__less__cases,axiom,
% 163.65/163.53 ! [V_P_2,V_n_2,V_m_2] :
% 163.65/163.53 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2))
% 163.65/163.53 => hBOOL(hAPP(hAPP(V_P_2,V_n_2),V_m_2)) )
% 163.65/163.53 => ( ( V_m_2 = V_n_2
% 163.65/163.53 => hBOOL(hAPP(hAPP(V_P_2,V_n_2),V_m_2)) )
% 163.65/163.53 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),V_m_2))
% 163.65/163.53 => hBOOL(hAPP(hAPP(V_P_2,V_n_2),V_m_2)) )
% 163.65/163.53 => hBOOL(hAPP(hAPP(V_P_2,V_n_2),V_m_2)) ) ) ) ).
% 163.65/163.53
% 163.65/163.53 fof(fact_less__not__refl3,axiom,
% 163.65/163.53 ! [V_t,V_s] :
% 163.65/163.53 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_s),V_t))
% 163.65/163.53 => V_s != V_t ) ).
% 163.65/163.53
% 163.65/163.53 fof(fact_less__not__refl2,axiom,
% 163.65/163.53 ! [V_m,V_n] :
% 163.65/163.53 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),V_m))
% 163.65/163.53 => V_m != V_n ) ).
% 163.65/163.53
% 163.65/163.53 fof(fact_less__irrefl__nat,axiom,
% 163.65/163.53 ! [V_n] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),V_n)) ).
% 163.65/163.53
% 163.65/163.53 fof(fact_linorder__neqE__nat,axiom,
% 163.65/163.53 ! [V_y,V_x] :
% 163.65/163.53 ( V_x != V_y
% 163.65/163.53 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x),V_y))
% 163.65/163.53 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_y),V_x)) ) ) ).
% 163.65/163.53
% 163.65/163.53 fof(fact_nat__neq__iff,axiom,
% 163.65/163.53 ! [V_n_2,V_m_2] :
% 163.65/163.53 ( V_m_2 != V_n_2
% 163.65/163.53 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2))
% 163.65/163.53 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),V_m_2)) ) ) ).
% 163.65/163.53
% 163.65/163.53 fof(fact_less__not__refl,axiom,
% 163.65/163.53 ! [V_n] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),V_n)) ).
% 163.65/163.53
% 163.65/163.53 fof(fact_less__imp__diff__less,axiom,
% 163.65/163.53 ! [V_n,V_k,V_j] :
% 163.65/163.53 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_j),V_k))
% 163.65/163.53 => 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)) ) ).
% 163.65/163.53
% 163.65/163.53 fof(fact_diff__less__mono2,axiom,
% 163.65/163.53 ! [V_l,V_n,V_m] :
% 163.65/163.53 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 163.65/163.53 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_l))
% 163.65/163.53 => 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))) ) ) ).
% 163.65/163.53
% 163.65/163.53 fof(fact_le__refl,axiom,
% 163.65/163.53 ! [V_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_n)) ).
% 163.65/163.53
% 163.65/163.53 fof(fact_le__square,axiom,
% 163.65/163.53 ! [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))) ).
% 163.65/163.53
% 163.65/163.53 fof(fact_le__cube,axiom,
% 163.65/163.53 ! [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)))) ).
% 163.65/163.53
% 163.65/163.53 fof(fact_nat__le__linear,axiom,
% 163.65/163.53 ! [V_n,V_m] :
% 163.65/163.53 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 163.65/163.53 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m)) ) ).
% 163.65/163.53
% 163.65/163.53 fof(fact_eq__imp__le,axiom,
% 163.65/163.53 ! [V_n,V_m] :
% 163.65/163.53 ( V_m = V_n
% 163.65/163.53 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) ) ).
% 163.65/163.53
% 163.65/163.53 fof(fact_mult__le__mono1,axiom,
% 163.65/163.53 ! [V_k,V_j,V_i] :
% 163.65/163.53 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 163.65/163.53 => 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))) ) ).
% 163.65/163.53
% 163.65/163.53 fof(fact_mult__le__mono2,axiom,
% 163.65/163.53 ! [V_k,V_j,V_i] :
% 163.65/163.53 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 163.65/163.53 => 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))) ) ).
% 163.65/163.53
% 163.65/163.53 fof(fact_le__trans,axiom,
% 163.65/163.53 ! [V_k,V_j,V_i] :
% 163.65/163.53 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 163.65/163.53 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j),V_k))
% 163.65/163.53 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_k)) ) ) ).
% 163.65/163.53
% 163.65/163.53 fof(fact_le__antisym,axiom,
% 163.65/163.53 ! [V_n,V_m] :
% 163.65/163.53 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 163.65/163.53 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m))
% 163.65/163.53 => V_m = V_n ) ) ).
% 163.65/163.53
% 163.65/163.53 fof(fact_mult__le__mono,axiom,
% 163.65/163.53 ! [V_l,V_k,V_j,V_i] :
% 163.65/163.53 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 163.65/163.53 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_l))
% 163.65/163.53 => 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))) ) ) ).
% 163.65/163.53
% 163.65/163.53 fof(fact_diff__le__self,axiom,
% 163.65/163.53 ! [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)) ).
% 163.65/163.53
% 163.65/163.53 fof(fact_diff__le__mono2,axiom,
% 163.65/163.53 ! [V_l,V_n,V_m] :
% 163.65/163.53 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 163.65/163.53 => 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))) ) ).
% 163.65/163.53
% 163.65/163.53 fof(fact_diff__le__mono,axiom,
% 163.65/163.53 ! [V_l,V_n,V_m] :
% 163.65/163.53 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 163.65/163.53 => 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))) ) ).
% 163.65/163.53
% 163.65/163.53 fof(fact_diff__diff__cancel,axiom,
% 163.65/163.53 ! [V_n,V_i] :
% 163.65/163.53 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_n))
% 163.65/163.53 => 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 ) ).
% 163.65/163.53
% 163.65/163.53 fof(fact_eq__diff__iff,axiom,
% 163.65/163.53 ! [V_n_2,V_m_2,V_k_2] :
% 163.65/163.53 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),V_m_2))
% 163.65/163.53 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),V_n_2))
% 163.65/163.53 => ( 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)
% 163.65/163.53 <=> V_m_2 = V_n_2 ) ) ) ).
% 163.65/163.53
% 163.65/163.53 fof(fact_Nat_Odiff__diff__eq,axiom,
% 163.65/163.53 ! [V_n,V_m,V_k] :
% 163.65/163.53 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_m))
% 163.65/163.53 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_n))
% 163.65/163.53 => 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) ) ) ).
% 163.65/163.53
% 163.65/163.53 fof(fact_le__diff__iff,axiom,
% 163.65/163.53 ! [V_n_2,V_m_2,V_k_2] :
% 163.65/163.53 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),V_m_2))
% 163.65/163.53 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),V_n_2))
% 163.65/163.53 => ( 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)))
% 163.65/163.53 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ) ) ).
% 163.65/163.53
% 163.65/163.53 fof(fact_wf__same__fst,axiom,
% 163.65/163.53 ! [T_b,V_R_2,T_c,V_P_2] :
% 163.65/163.53 ( ! [B_x] :
% 163.65/163.53 ( hBOOL(hAPP(V_P_2,B_x))
% 163.65/163.53 => c_Wellfounded_Owf(T_c,hAPP(V_R_2,B_x)) )
% 163.65/163.53 => c_Wellfounded_Owf(tc_prod(T_b,T_c),c_Recdef_Osame__fst(T_b,T_c,V_P_2,V_R_2)) ) ).
% 163.65/163.53
% 163.65/163.53 fof(fact_insert__fold1SetE,axiom,
% 163.65/163.53 ! [V_x_2,V_X_2,V_a_2,V_f_2,T_b] :
% 163.65/163.53 ( 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))
% 163.65/163.53 => ~ ! [B_a,B_A] :
% 163.65/163.53 ( hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_X_2) = hAPP(hAPP(c_Set_Oinsert(T_b),B_a),B_A)
% 163.65/163.53 => ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_b,V_f_2,B_a,B_A),V_x_2))
% 163.65/163.53 => hBOOL(hAPP(hAPP(c_member(T_b),B_a),B_A)) ) ) ) ).
% 163.65/163.53
% 163.65/163.53 fof(fact_fold1Set_Oequations,axiom,
% 163.65/163.53 ! [V_a3_2,V_a2_2,V_a1_2,V_f_2,T_b] :
% 163.65/163.53 ( 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))
% 163.65/163.53 <=> ? [B_a,B_A] :
% 163.65/163.53 ( hAPP(hAPP(c_Set_Oinsert(T_b),V_a1_2),V_a2_2) = hAPP(hAPP(c_Set_Oinsert(T_b),B_a),B_A)
% 163.65/163.53 & hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_b,V_f_2,B_a,B_A),V_a3_2))
% 163.65/163.53 & ~ hBOOL(hAPP(hAPP(c_member(T_b),B_a),B_A)) ) ) ).
% 163.65/163.53
% 163.65/163.53 fof(fact_wfI__pf,axiom,
% 163.65/163.53 ! [V_R_2,T_b] :
% 163.65/163.53 ( ! [B_A] :
% 163.65/163.53 ( 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)))
% 163.65/163.53 => B_A = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) )
% 163.65/163.53 => c_Wellfounded_Owf(T_b,V_R_2) ) ).
% 163.65/163.53
% 163.65/163.53 fof(fact_wfP__wf__eq,axiom,
% 163.65/163.53 ! [V_r_2,T_b] :
% 163.65/163.53 ( 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))
% 163.65/163.53 <=> c_Wellfounded_Owf(T_b,V_r_2) ) ).
% 163.65/163.53
% 163.65/163.53 fof(fact_IdE,axiom,
% 163.65/163.53 ! [V_p_2,T_b] :
% 163.65/163.53 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),c_Relation_OId(T_b)))
% 163.65/163.53 => ~ ! [B_x] : V_p_2 != hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_x) ) ).
% 163.65/163.53
% 163.65/163.53 fof(fact_wf__eq__minimal,axiom,
% 163.65/163.53 ! [V_r_2,T_b] :
% 163.65/163.53 ( c_Wellfounded_Owf(T_b,V_r_2)
% 163.65/163.53 <=> ! [B_Q] :
% 163.65/163.53 ( ? [B_x] : hBOOL(hAPP(hAPP(c_member(T_b),B_x),B_Q))
% 163.65/163.53 => ? [B_x] :
% 163.65/163.53 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),B_Q))
% 163.65/163.53 & ! [B_y] :
% 163.65/163.53 ( 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))
% 163.65/163.53 => ~ hBOOL(hAPP(hAPP(c_member(T_b),B_y),B_Q)) ) ) ) ) ).
% 163.65/163.53
% 163.65/163.53 fof(fact_wf__in__rel,axiom,
% 163.65/163.53 ! [V_R_2,T_b] :
% 163.65/163.53 ( c_Wellfounded_Owf(T_b,V_R_2)
% 163.65/163.53 => c_Wellfounded_OwfP(T_b,c_FunDef_Oin__rel(T_b,T_b,V_R_2)) ) ).
% 163.65/163.53
% 163.65/163.53 fof(fact_wfP__empty,axiom,
% 163.65/163.53 ! [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))) ).
% 163.65/163.53
% 163.65/163.53 fof(fact_nat__mult__commute,axiom,
% 163.65/163.53 ! [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) ).
% 163.65/163.53
% 163.65/163.53 fof(fact_nat__mult__assoc,axiom,
% 163.65/163.53 ! [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)) ).
% 163.65/163.53
% 163.65/163.53 fof(fact_wfP__subset,axiom,
% 163.65/163.53 ! [V_p_2,V_r_2,T_b] :
% 163.65/163.53 ( c_Wellfounded_OwfP(T_b,V_r_2)
% 163.65/163.53 => ( 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))
% 163.65/163.53 => c_Wellfounded_OwfP(T_b,V_p_2) ) ) ).
% 163.65/163.53
% 163.65/163.53 fof(fact_wfP__SUP,axiom,
% 163.65/163.53 ! [T_b,V_r_2,T_c] :
% 163.65/163.53 ( ! [B_i] : c_Wellfounded_OwfP(T_c,hAPP(V_r_2,B_i))
% 163.65/163.53 => ( ! [B_i,B_j] :
% 163.65/163.53 ( hAPP(V_r_2,B_i) != hAPP(V_r_2,B_j)
% 163.65/163.53 => 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)) )
% 163.65/163.53 => 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)) ) ) ).
% 163.65/163.53
% 163.65/163.53 fof(fact_vimage__if,axiom,
% 163.65/163.53 ! [V_B_2,T_c,V_d_2,V_A_2,V_c_2,T_b] :
% 163.65/163.53 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2))
% 163.65/163.53 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_d_2),V_A_2))
% 163.65/163.53 => 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)) )
% 163.65/163.53 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_d_2),V_A_2))
% 163.65/163.53 => 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 ) ) )
% 163.65/163.53 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2))
% 163.65/163.53 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_d_2),V_A_2))
% 163.65/163.53 => 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) )
% 163.65/163.53 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_d_2),V_A_2))
% 163.65/163.53 => 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)) ) ) ) ) ).
% 163.65/163.53
% 163.65/163.53 fof(fact_Inf__binary,axiom,
% 163.65/163.53 ! [V_b_2,V_a_2,T_b] :
% 163.65/163.53 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 163.65/163.53 => 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) ) ).
% 163.65/163.53
% 163.65/163.53 fof(fact_pair__lessI2,axiom,
% 163.65/163.53 ! [V_t_2,V_s_2,V_b_2,V_a_2] :
% 163.65/163.53 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_a_2),V_b_2))
% 163.65/163.53 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_s_2),V_t_2))
% 163.65/163.53 => 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)) ) ) ).
% 163.65/163.53
% 163.65/163.53 fof(fact_congruentI,axiom,
% 163.65/163.53 ! [T_c,V_f_2,V_r_2,T_b] :
% 163.65/163.53 ( ! [B_y,B_z] :
% 163.65/163.53 ( 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))
% 163.65/163.53 => hAPP(V_f_2,B_y) = hAPP(V_f_2,B_z) )
% 163.65/163.53 => c_Equiv__Relations_Ocongruent(T_b,T_c,V_r_2,V_f_2) ) ).
% 163.65/163.53
% 163.65/163.53 fof(fact_congruent2I_H,axiom,
% 163.65/163.53 ! [T_d,V_f_2,V_r2_2,T_c,V_r1_2,T_b] :
% 163.65/163.53 ( ! [B_y1,B_z1] :
% 163.65/163.53 ( 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))
% 163.65/163.53 => ! [B_y2,B_z2] :
% 163.65/163.53 ( 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))
% 163.65/163.53 => hAPP(hAPP(V_f_2,B_y1),B_y2) = hAPP(hAPP(V_f_2,B_z1),B_z2) ) )
% 163.65/163.53 => c_Equiv__Relations_Ocongruent2(T_b,T_c,T_d,V_r1_2,V_r2_2,V_f_2) ) ).
% 163.65/163.53
% 163.65/163.53 fof(fact_conversep__converse__eq,axiom,
% 163.65/163.53 ! [V_y_2,V_x_2,V_r_2,T_c,T_b] :
% 163.65/163.53 ( 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))
% 163.65/163.53 <=> 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))) ) ).
% 163.65/163.53
% 163.65/163.53 fof(fact_wf__Union,axiom,
% 163.65/163.53 ! [V_R_2,T_b] :
% 163.65/163.53 ( ! [B_x] :
% 163.65/163.53 ( hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),B_x),V_R_2))
% 163.65/163.53 => c_Wellfounded_Owf(T_b,B_x) )
% 163.65/163.53 => ( ! [B_x] :
% 163.65/163.53 ( hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),B_x),V_R_2))
% 163.65/163.53 => ! [B_xa] :
% 163.65/163.53 ( hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),B_xa),V_R_2))
% 163.65/163.53 => ( B_x != B_xa
% 163.65/163.53 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_ODomain(T_b,T_b),B_x)),hAPP(c_Relation_ORange(T_b,T_b),B_xa)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) )
% 163.65/163.53 => c_Wellfounded_Owf(T_b,c_Complete__Lattice_OSup__class_OSup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),V_R_2)) ) ) ).
% 163.65/163.53
% 163.65/163.53 fof(fact_InterD,axiom,
% 163.65/163.53 ! [V_X_2,V_C_2,V_A_2,T_b] :
% 163.65/163.53 ( 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)))
% 163.65/163.53 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_X_2),V_C_2))
% 163.65/163.53 => hBOOL(hAPP(hAPP(c_member(T_b),V_A_2),V_X_2)) ) ) ).
% 163.65/163.53
% 163.65/163.53 fof(fact_InterE,axiom,
% 163.65/163.53 ! [V_X_2,V_C_2,V_A_2,T_b] :
% 163.65/163.53 ( 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)))
% 163.65/163.53 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_X_2),V_C_2))
% 163.65/163.53 => hBOOL(hAPP(hAPP(c_member(T_b),V_A_2),V_X_2)) ) ) ).
% 163.65/163.53
% 163.65/163.53 fof(fact_inj__uminus,axiom,
% 163.65/163.53 ! [V_A_2,T_b] :
% 163.65/163.53 ( class_Groups_Oordered__ab__group__add(T_b)
% 163.65/163.53 => c_Fun_Oinj__on(T_b,T_b,c_Groups_Ouminus__class_Ouminus(T_b),V_A_2) ) ).
% 163.65/163.53
% 163.65/163.53 fof(fact_ComplI,axiom,
% 163.65/163.53 ! [V_A_2,V_c_2,T_b] :
% 163.65/163.53 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2))
% 163.65/163.53 => 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))) ) ).
% 163.65/163.53
% 163.65/163.53 fof(fact_fun__Compl__def,axiom,
% 163.65/163.53 ! [V_x_2,V_A_2,T_c,T_b] :
% 163.65/163.53 ( class_Groups_Ouminus(T_b)
% 163.65/163.53 => 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)) ) ).
% 163.65/163.53
% 163.65/163.53 fof(fact_minus__minus,axiom,
% 163.65/163.53 ! [V_a,T_a] :
% 163.65/163.53 ( class_Groups_Ogroup__add(T_a)
% 163.65/163.53 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a)) = V_a ) ).
% 163.65/163.53
% 163.65/163.53 fof(fact_double__compl,axiom,
% 163.65/163.53 ! [V_x,T_a] :
% 163.65/163.53 ( class_Lattices_Oboolean__algebra(T_a)
% 163.65/163.53 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_x)) = V_x ) ).
% 163.65/163.53
% 163.65/163.53 fof(fact_uminus__apply,axiom,
% 163.65/163.53 ! [V_x_2,V_A_2,T_c,T_b] :
% 163.65/163.53 ( class_Groups_Ouminus(T_b)
% 163.65/163.53 => 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)) ) ).
% 163.65/163.53
% 163.65/163.53 fof(fact_equation__minus__iff,axiom,
% 163.65/163.53 ! [V_b_2,V_a_2,T_b] :
% 163.65/163.53 ( class_Groups_Ogroup__add(T_b)
% 163.65/163.53 => ( V_a_2 = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_b_2)
% 163.65/163.53 <=> V_b_2 = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2) ) ) ).
% 163.65/163.53
% 163.65/163.53 fof(fact_minus__equation__iff,axiom,
% 163.65/163.53 ! [V_b_2,V_a_2,T_b] :
% 163.65/163.53 ( class_Groups_Ogroup__add(T_b)
% 163.65/163.53 => ( hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2) = V_b_2
% 163.65/163.53 <=> hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_b_2) = V_a_2 ) ) ).
% 163.65/163.53
% 163.65/163.53 fof(fact_neg__equal__iff__equal,axiom,
% 163.65/163.53 ! [V_b_2,V_a_2,T_b] :
% 163.65/163.53 ( class_Groups_Ogroup__add(T_b)
% 163.65/163.53 => ( hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2) = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_b_2)
% 163.65/163.53 <=> V_a_2 = V_b_2 ) ) ).
% 163.65/163.53
% 163.65/163.53 fof(fact_compl__eq__compl__iff,axiom,
% 163.65/163.53 ! [V_y_2,V_x_2,T_b] :
% 163.65/163.53 ( class_Lattices_Oboolean__algebra(T_b)
% 163.65/163.53 => ( hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_x_2) = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_y_2)
% 163.65/163.53 <=> V_x_2 = V_y_2 ) ) ).
% 163.65/163.53
% 163.65/163.53 fof(fact_conversep__eq,axiom,
% 163.65/163.53 ! [T_b] : c_Predicate_Oconversep(T_b,T_b,c_fequal) = c_fequal ).
% 163.65/163.53
% 163.65/163.53 fof(fact_conversep__conversep,axiom,
% 163.65/163.53 ! [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 ).
% 163.65/163.53
% 163.65/163.53 fof(fact_double__complement,axiom,
% 163.65/163.53 ! [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 ).
% 163.65/163.53
% 163.65/163.53 fof(fact_Compl__eq__Compl__iff,axiom,
% 163.65/163.53 ! [V_B_2,V_A_2,T_b] :
% 163.65/163.53 ( 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)
% 163.65/163.53 <=> V_A_2 = V_B_2 ) ).
% 163.65/163.53
% 163.65/163.53 fof(fact_conversep__iff,axiom,
% 163.65/163.53 ! [V_b_2,V_a_2,V_r_2,T_c,T_b] :
% 163.65/163.53 ( hBOOL(hAPP(hAPP(c_Predicate_Oconversep(T_b,T_c,V_r_2),V_a_2),V_b_2))
% 163.65/163.53 <=> hBOOL(hAPP(hAPP(V_r_2,V_b_2),V_a_2)) ) ).
% 163.65/163.53
% 163.65/163.53 fof(fact_conversep_Oequations,axiom,
% 163.65/163.53 ! [V_a1_2,V_a2_2,V_r_2,T_c,T_b] :
% 163.65/163.53 ( hBOOL(hAPP(hAPP(c_Predicate_Oconversep(T_b,T_c,V_r_2),V_a2_2),V_a1_2))
% 163.65/163.53 <=> hBOOL(hAPP(hAPP(V_r_2,V_a1_2),V_a2_2)) ) ).
% 163.65/163.53
% 163.65/163.53 fof(fact_conversep_Ointros,axiom,
% 163.65/163.53 ! [T_c,T_b,V_b_2,V_a_2,V_r_2] :
% 163.65/163.53 ( hBOOL(hAPP(hAPP(V_r_2,V_a_2),V_b_2))
% 163.65/163.53 => hBOOL(hAPP(hAPP(c_Predicate_Oconversep(T_b,T_c,V_r_2),V_b_2),V_a_2)) ) ).
% 163.65/163.53
% 163.65/163.53 fof(fact_conversepD,axiom,
% 163.65/163.53 ! [V_b_2,V_a_2,V_r_2,T_c,T_b] :
% 163.65/163.53 ( hBOOL(hAPP(hAPP(c_Predicate_Oconversep(T_b,T_c,V_r_2),V_a_2),V_b_2))
% 163.65/163.53 => hBOOL(hAPP(hAPP(V_r_2,V_b_2),V_a_2)) ) ).
% 163.65/163.53
% 163.65/163.53 fof(fact_wf__pair__less,axiom,
% 163.65/163.53 c_Wellfounded_Owf(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_FunDef_Opair__less) ).
% 163.65/163.53
% 163.65/163.53 fof(fact_conversep__noteq,axiom,
% 163.65/163.53 ! [V_y_2,V_x_2,T_b] :
% 163.65/163.53 ( 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))
% 163.65/163.53 <=> V_x_2 != V_y_2 ) ).
% 163.65/163.53
% 163.65/163.53 fof(fact_compl__mono,axiom,
% 163.65/163.53 ! [V_y,V_x,T_a] :
% 163.65/163.53 ( class_Lattices_Oboolean__algebra(T_a)
% 163.65/163.53 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 163.65/163.53 => 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))) ) ) ).
% 163.65/163.53
% 163.65/163.53 fof(fact_le__imp__neg__le,axiom,
% 163.65/163.53 ! [V_b,V_a,T_a] :
% 163.65/163.53 ( class_Groups_Oordered__ab__group__add(T_a)
% 163.65/163.53 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 163.65/163.53 => 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))) ) ) ).
% 163.65/163.53
% 163.65/163.53 fof(fact_compl__le__compl__iff,axiom,
% 163.65/163.53 ! [V_y_2,V_x_2,T_b] :
% 163.65/163.53 ( class_Lattices_Oboolean__algebra(T_b)
% 163.65/163.53 => ( 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)))
% 163.65/163.53 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_x_2)) ) ) ).
% 163.65/163.53
% 163.65/163.53 fof(fact_neg__le__iff__le,axiom,
% 163.65/163.53 ! [V_a_2,V_b_2,T_b] :
% 163.65/163.53 ( class_Groups_Oordered__ab__group__add(T_b)
% 163.65/163.53 => ( 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)))
% 163.65/163.53 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2)) ) ) ).
% 163.65/163.53
% 163.65/163.53 fof(fact_minus__le__iff,axiom,
% 163.65/163.53 ! [V_b_2,V_a_2,T_b] :
% 163.65/163.53 ( class_Groups_Oordered__ab__group__add(T_b)
% 163.65/163.53 => ( 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))
% 163.65/163.53 <=> 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)) ) ) ).
% 163.65/163.53
% 163.65/163.53 fof(fact_le__minus__iff,axiom,
% 163.65/163.53 ! [V_b_2,V_a_2,T_b] :
% 163.65/163.53 ( class_Groups_Oordered__ab__group__add(T_b)
% 163.65/163.53 => ( 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)))
% 163.65/163.53 <=> 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))) ) ) ).
% 163.65/163.53
% 163.65/163.53 fof(fact_neg__less__iff__less,axiom,
% 163.65/163.53 ! [V_a_2,V_b_2,T_b] :
% 163.65/163.53 ( class_Groups_Oordered__ab__group__add(T_b)
% 163.65/163.53 => ( 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)))
% 163.65/163.53 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2)) ) ) ).
% 163.65/163.53
% 163.65/163.53 fof(fact_minus__less__iff,axiom,
% 163.65/163.53 ! [V_b_2,V_a_2,T_b] :
% 163.65/163.53 ( class_Groups_Oordered__ab__group__add(T_b)
% 163.65/163.53 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2)),V_b_2))
% 163.65/163.53 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_b_2)),V_a_2)) ) ) ).
% 163.65/163.53
% 163.65/163.53 fof(fact_less__minus__iff,axiom,
% 163.65/163.53 ! [V_b_2,V_a_2,T_b] :
% 163.65/163.53 ( class_Groups_Oordered__ab__group__add(T_b)
% 163.65/163.53 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_b_2)))
% 163.65/163.53 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2))) ) ) ).
% 163.65/163.53
% 163.65/163.53 fof(fact_ComplE,axiom,
% 163.65/163.53 ! [V_A_2,V_c_2,T_b] :
% 163.65/163.53 ( 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)))
% 163.65/163.53 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) ) ).
% 163.65/163.53
% 163.65/163.53 fof(fact_ComplD,axiom,
% 163.65/163.53 ! [V_A_2,V_c_2,T_b] :
% 163.65/163.53 ( 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)))
% 163.65/163.53 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) ) ).
% 163.65/163.53
% 163.65/163.53 fof(fact_Compl__iff,axiom,
% 163.65/163.53 ! [V_A_2,V_c_2,T_b] :
% 163.65/163.53 ( 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)))
% 163.65/163.53 <=> ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) ) ).
% 163.65/163.53
% 163.65/163.53 fof(fact_minus__diff__eq,axiom,
% 163.65/163.53 ! [V_b,V_a,T_a] :
% 163.65/163.53 ( class_Groups_Oab__group__add(T_a)
% 163.65/163.53 => 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) ) ).
% 163.65/163.53
% 163.65/163.53 fof(fact_Compl__subset__Compl__iff,axiom,
% 163.65/163.53 ! [V_B_2,V_A_2,T_b] :
% 163.65/163.53 ( 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)))
% 163.65/163.53 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) ) ).
% 163.65/163.53
% 163.65/163.53 fof(fact_Compl__anti__mono,axiom,
% 163.65/163.53 ! [V_B_2,V_A_2,T_b] :
% 163.65/163.53 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 163.65/163.53 => 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))) ) ).
% 163.65/163.53
% 163.65/163.53 fof(fact_vimage__Compl,axiom,
% 163.65/163.53 ! [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)) ).
% 163.65/163.53
% 163.65/163.53 fof(fact_Collect__neg__eq,axiom,
% 163.65/163.53 ! [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)) ).
% 163.65/163.53
% 163.65/163.53 fof(fact_le__Inf__iff,axiom,
% 163.65/163.53 ! [V_A_2,V_b_2,T_b] :
% 163.65/163.53 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 163.65/163.53 => ( 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)))
% 163.65/163.53 <=> ! [B_x] :
% 163.65/163.53 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 163.65/163.53 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),B_x)) ) ) ) ).
% 163.65/163.53
% 163.65/163.53 fof(fact_Inf__less__iff,axiom,
% 163.65/163.53 ! [V_a_2,V_S_2,T_b] :
% 163.65/163.53 ( ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 163.65/163.53 & class_Orderings_Olinorder(T_b) )
% 163.65/163.53 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Complete__Lattice_OInf__class_OInf(T_b,V_S_2)),V_a_2))
% 163.65/163.53 <=> ? [B_x] :
% 163.65/163.53 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_S_2))
% 163.65/163.53 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),B_x),V_a_2)) ) ) ) ).
% 163.65/163.53
% 163.65/163.53 fof(fact_converse__join,axiom,
% 163.65/163.53 ! [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)) ).
% 163.65/163.53
% 163.65/163.53 fof(fact_converse__meet,axiom,
% 163.65/163.53 ! [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)) ).
% 163.65/163.53
% 163.65/163.53 fof(fact_compl__inf__bot,axiom,
% 163.65/163.53 ! [V_x,T_a] :
% 163.65/163.53 ( class_Lattices_Oboolean__algebra(T_a)
% 163.65/163.53 => 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) ) ).
% 163.65/163.53
% 163.65/163.53 fof(fact_inf__compl__bot,axiom,
% 163.65/163.53 ! [V_x,T_a] :
% 163.65/163.53 ( class_Lattices_Oboolean__algebra(T_a)
% 163.65/163.53 => 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) ) ).
% 163.65/163.53
% 163.65/163.53 fof(fact_diff__eq,axiom,
% 163.65/163.53 ! [V_y,V_x,T_a] :
% 163.65/163.53 ( class_Lattices_Oboolean__algebra(T_a)
% 163.65/163.53 => 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)) ) ).
% 163.65/163.53
% 163.65/163.53 fof(fact_compl__top__eq,axiom,
% 163.65/163.53 ! [T_a] :
% 163.65/163.53 ( class_Lattices_Oboolean__algebra(T_a)
% 163.65/163.53 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Orderings_Otop__class_Otop(T_a)) = c_Orderings_Obot__class_Obot(T_a) ) ).
% 163.65/163.53
% 163.65/163.53 fof(fact_compl__bot__eq,axiom,
% 163.65/163.53 ! [T_a] :
% 163.65/163.53 ( class_Lattices_Oboolean__algebra(T_a)
% 163.65/163.53 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Orderings_Obot__class_Obot(T_a)) = c_Orderings_Otop__class_Otop(T_a) ) ).
% 163.65/163.53
% 163.65/163.53 fof(fact_compl__inf,axiom,
% 163.65/163.53 ! [V_y,V_x,T_a] :
% 163.65/163.53 ( class_Lattices_Oboolean__algebra(T_a)
% 163.65/163.53 => 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)) ) ).
% 163.65/163.53
% 163.65/163.53 fof(fact_compl__sup,axiom,
% 163.65/163.53 ! [V_y,V_x,T_a] :
% 163.65/163.53 ( class_Lattices_Oboolean__algebra(T_a)
% 163.65/163.53 => 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)) ) ).
% 163.65/163.53
% 163.65/163.53 fof(fact_sup__compl__top,axiom,
% 163.65/163.53 ! [V_x,T_a] :
% 163.65/163.53 ( class_Lattices_Oboolean__algebra(T_a)
% 163.65/163.53 => 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) ) ).
% 163.65/163.53
% 163.65/163.53 fof(fact_compl__sup__top,axiom,
% 163.65/163.53 ! [V_x,T_a] :
% 163.65/163.53 ( class_Lattices_Oboolean__algebra(T_a)
% 163.65/163.53 => 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) ) ).
% 163.65/163.53
% 163.65/163.53 fof(fact_subset__Compl__self__eq,axiom,
% 163.65/163.53 ! [V_A_2,T_b] :
% 163.65/163.53 ( 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)))
% 163.65/163.53 <=> V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 163.65/163.53
% 163.65/163.53 fof(fact_Compl__UNIV__eq,axiom,
% 163.65/163.53 ! [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)) ).
% 163.65/163.53
% 163.65/163.53 fof(fact_Compl__empty__eq,axiom,
% 163.65/163.53 ! [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)) ).
% 163.65/163.53
% 163.65/163.53 fof(fact_Compl__disjoint,axiom,
% 163.65/163.53 ! [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)) ).
% 163.65/163.53
% 163.65/163.53 fof(fact_Compl__disjoint2,axiom,
% 163.65/163.53 ! [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)) ).
% 163.65/163.53
% 163.65/163.53 fof(fact_Compl__partition,axiom,
% 163.65/163.53 ! [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)) ).
% 163.65/163.53
% 163.65/163.53 fof(fact_Compl__partition2,axiom,
% 163.65/163.53 ! [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)) ).
% 163.65/163.53
% 163.65/163.53 fof(fact_Compl__Un,axiom,
% 163.65/163.53 ! [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)) ).
% 163.65/163.53
% 163.65/163.53 fof(fact_Compl__Int,axiom,
% 163.65/163.53 ! [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)) ).
% 163.65/163.53
% 163.65/163.53 fof(fact_Compl__eq__Diff__UNIV,axiom,
% 163.65/163.53 ! [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) ).
% 163.65/163.53
% 163.65/163.53 fof(fact_Compl__Diff__eq,axiom,
% 163.65/163.53 ! [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) ).
% 163.65/163.53
% 163.65/163.53 fof(fact_Diff__Compl,axiom,
% 163.65/163.53 ! [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) ).
% 163.65/163.53
% 163.65/163.53 fof(fact_Diff__eq,axiom,
% 163.65/163.53 ! [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)) ).
% 163.65/163.53
% 163.65/163.53 fof(fact_Inter__lower,axiom,
% 163.65/163.53 ! [V_A_2,V_B_2,T_b] :
% 163.65/163.53 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 163.65/163.53 => 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)) ) ).
% 163.65/163.53
% 163.65/163.53 fof(fact_Inter__def,axiom,
% 163.65/163.53 ! [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))) ).
% 163.65/163.53
% 163.65/163.53 fof(fact_Compl__eq,axiom,
% 163.65/163.53 ! [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))) ).
% 163.65/163.53
% 163.65/163.53 fof(fact_pair__lessI1,axiom,
% 163.65/163.53 ! [V_t_2,V_s_2,V_b_2,V_a_2] :
% 163.65/163.53 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_a_2),V_b_2))
% 163.65/163.53 => 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)) ) ).
% 163.65/163.53
% 163.65/163.53 fof(fact_Collect__imp__eq,axiom,
% 163.65/163.53 ! [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)) ).
% 163.65/163.53
% 163.65/163.53 fof(fact_Compl__UN,axiom,
% 163.65/163.53 ! [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)) ).
% 163.65/163.53
% 163.65/163.53 fof(fact_Compl__INT,axiom,
% 163.65/163.53 ! [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)) ).
% 163.65/163.53
% 163.65/163.53 fof(fact_Inter__anti__mono,axiom,
% 163.65/163.53 ! [V_A_2,V_B_2,T_b] :
% 163.65/163.53 ( 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))
% 163.65/163.53 => 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))) ) ).
% 163.65/163.53
% 163.65/163.53 fof(fact_Inter__empty,axiom,
% 163.65/163.53 ! [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)) ).
% 163.65/163.53
% 163.65/163.53 fof(fact_Inter__insert,axiom,
% 163.65/163.53 ! [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)) ).
% 163.65/163.53
% 163.65/163.53 fof(fact_Inter__UNIV,axiom,
% 163.65/163.53 ! [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)) ).
% 163.65/163.53
% 163.65/163.53 fof(fact_Inf__lower,axiom,
% 163.65/163.53 ! [V_A_2,V_x_2,T_b] :
% 163.65/163.53 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 163.65/163.53 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 163.65/163.53 => 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)) ) ) ).
% 163.65/163.53
% 163.65/163.53 fof(fact_Inter__Un__distrib,axiom,
% 163.65/163.53 ! [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)) ).
% 163.65/163.53
% 163.65/163.53 fof(fact_disjoint__eq__subset__Compl,axiom,
% 163.65/163.53 ! [V_B_2,V_A_2,T_b] :
% 163.65/163.53 ( 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))
% 163.65/163.53 <=> 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))) ) ).
% 163.65/163.53
% 163.65/163.53 fof(fact_Inf__singleton,axiom,
% 163.65/163.53 ! [V_a_2,T_b] :
% 163.65/163.53 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 163.65/163.53 => 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 ) ).
% 163.65/163.53
% 163.65/163.53 fof(fact_Inf__empty,axiom,
% 163.65/163.53 ! [T_b] :
% 163.65/163.53 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 163.65/163.53 => 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) ) ).
% 163.65/163.53
% 163.65/163.53 fof(fact_Inf__UNIV,axiom,
% 163.65/163.53 ! [T_b] :
% 163.65/163.53 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 163.65/163.53 => 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) ) ).
% 163.65/163.53
% 163.65/163.53 fof(fact_surj__Compl__image__subset,axiom,
% 163.65/163.53 ! [V_A_2,V_f_2,T_b,T_c] :
% 163.65/163.53 ( 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))
% 163.65/163.53 => 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)))) ) ).
% 163.65/163.53
% 163.65/163.53 fof(fact_Inf__insert,axiom,
% 163.65/163.53 ! [V_A_2,V_a_2,T_b] :
% 163.65/163.53 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 163.65/163.53 => 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)) ) ).
% 163.65/163.53
% 163.65/163.53 fof(fact_INTER__eq__Inter__image,axiom,
% 163.65/163.53 ! [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)) ).
% 163.65/163.53
% 163.65/163.53 fof(fact_Inter__image__eq,axiom,
% 163.65/163.53 ! [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) ).
% 163.65/163.53
% 163.65/163.53 fof(fact_Image__subset__eq,axiom,
% 163.65/163.53 ! [V_B_2,V_A_2,V_r_2,T_c,T_b] :
% 163.65/163.53 ( 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))
% 163.65/163.53 <=> 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))))) ) ).
% 163.65/163.53
% 163.65/163.53 fof(fact_Un__Inter,axiom,
% 163.65/163.53 ! [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)) ).
% 163.65/163.53
% 163.65/163.53 fof(fact_compl__unique,axiom,
% 163.65/163.53 ! [V_y,V_x,T_a] :
% 163.65/163.53 ( class_Lattices_Oboolean__algebra(T_a)
% 163.65/163.53 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_y) = c_Orderings_Obot__class_Obot(T_a)
% 163.65/163.53 => ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_y) = c_Orderings_Otop__class_Otop(T_a)
% 163.65/163.53 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_x) = V_y ) ) ) ).
% 163.65/163.53
% 163.65/163.53 fof(fact_inj__image__Compl__subset,axiom,
% 163.65/163.53 ! [V_A_2,V_f_2,T_c,T_b] :
% 163.65/163.53 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 163.65/163.53 => 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)))) ) ).
% 163.65/163.53
% 163.65/163.53 fof(fact_Int__eq__Inter,axiom,
% 163.65/163.53 ! [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))))) ).
% 163.65/163.53
% 163.65/163.53 fof(fact_Int__Inter__image,axiom,
% 163.65/163.53 ! [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))) ).
% 163.65/163.53
% 163.65/163.53 fof(fact_Inter__Un__subset,axiom,
% 163.65/163.53 ! [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)))) ).
% 163.65/163.53
% 163.65/163.53 fof(fact_pair__leqI2,axiom,
% 163.65/163.53 ! [V_t_2,V_s_2,V_b_2,V_a_2] :
% 163.65/163.53 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_a_2),V_b_2))
% 163.65/163.53 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_s_2),V_t_2))
% 163.65/163.53 => 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)) ) ) ).
% 163.65/163.53
% 163.65/163.53 fof(fact_smax__insertI,axiom,
% 163.65/163.53 ! [V_X_2,V_x_2,V_Y_2,V_y_2] :
% 163.65/163.53 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_y_2),V_Y_2))
% 163.65/163.53 => ( 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))
% 163.65/163.53 => ( 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))
% 163.65/163.53 => 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)) ) ) ) ).
% 163.65/163.53
% 163.65/163.53 fof(fact_smin__insertI,axiom,
% 163.65/163.53 ! [V_YS_2,V_y_2,V_XS_2,V_x_2] :
% 163.65/163.53 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_x_2),V_XS_2))
% 163.65/163.53 => ( 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))
% 163.65/163.53 => ( 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))
% 163.65/163.53 => 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)) ) ) ) ).
% 163.65/163.53
% 163.65/163.53 fof(fact_pair__leqI1,axiom,
% 163.65/163.53 ! [V_t_2,V_s_2,V_b_2,V_a_2] :
% 163.65/163.53 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_a_2),V_b_2))
% 163.65/163.53 => 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)) ) ).
% 163.65/163.53
% 163.65/163.53 fof(fact_square__eq__iff,axiom,
% 163.65/163.53 ! [V_b_2,V_a_2,T_b] :
% 163.65/163.53 ( class_Rings_Oidom(T_b)
% 163.65/163.53 => ( 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)
% 163.65/163.53 <=> ( V_a_2 = V_b_2
% 163.65/163.53 | V_a_2 = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_b_2) ) ) ) ).
% 163.65/163.53
% 163.65/163.53 fof(fact_minus__mult__minus,axiom,
% 163.65/163.53 ! [V_b,V_a,T_a] :
% 163.65/163.53 ( class_Rings_Oring(T_a)
% 163.65/163.53 => 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) ) ).
% 163.65/163.53
% 163.65/163.53 fof(fact_minus__mult__commute,axiom,
% 163.65/163.53 ! [V_b,V_a,T_a] :
% 163.65/163.53 ( class_Rings_Oring(T_a)
% 163.65/163.53 => 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)) ) ).
% 163.65/163.53
% 163.65/163.53 fof(fact_minus__mult__left,axiom,
% 163.65/163.53 ! [V_b,V_a,T_a] :
% 163.65/163.53 ( class_Rings_Oring(T_a)
% 163.65/163.53 => 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) ) ).
% 163.65/163.53
% 163.65/163.53 fof(fact_smin__emptyI,axiom,
% 163.65/163.53 ! [V_X_2] :
% 163.65/163.53 ( V_X_2 != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))
% 163.65/163.53 => 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)) ) ).
% 163.65/163.53
% 163.65/163.53 fof(fact_linorder__neqE__linordered__idom,axiom,
% 163.65/163.53 ! [V_y,V_x,T_a] :
% 163.65/163.53 ( class_Rings_Olinordered__idom(T_a)
% 163.65/163.53 => ( V_x != V_y
% 163.65/163.53 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 163.65/163.53 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ) ).
% 163.65/163.53
% 163.65/163.53 fof(fact_pair__leq__def,axiom,
% 163.65/163.53 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))) ).
% 163.65/163.53
% 163.65/163.53 fof(fact_minus__mult__right,axiom,
% 163.65/163.53 ! [V_b,V_a,T_a] :
% 163.65/163.53 ( class_Rings_Oring(T_a)
% 163.65/163.53 => 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)) ) ).
% 163.65/163.53
% 163.65/163.53 fof(fact_wmin__insertI,axiom,
% 163.65/163.53 ! [V_YS_2,V_y_2,V_XS_2,V_x_2] :
% 163.65/163.53 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_x_2),V_XS_2))
% 163.65/163.53 => ( 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))
% 163.65/163.53 => ( 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))
% 163.65/163.53 => 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)) ) ) ) ).
% 163.65/163.53
% 163.65/163.53 fof(fact_wmax__insertI,axiom,
% 163.65/163.53 ! [V_XS_2,V_x_2,V_YS_2,V_y_2] :
% 163.65/163.53 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_y_2),V_YS_2))
% 163.65/163.53 => ( 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))
% 163.65/163.53 => ( 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))
% 163.65/163.53 => 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)) ) ) ) ).
% 163.65/163.53
% 163.65/163.53 fof(fact_wmin__emptyI,axiom,
% 163.65/163.53 ! [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)) ).
% 163.65/163.53
% 163.65/163.53 fof(fact_min__strict__def,axiom,
% 163.65/163.53 c_FunDef_Omin__strict = c_Wellfounded_Omin__ext(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_FunDef_Opair__less) ).
% 163.65/163.53
% 163.65/163.53 fof(fact_less__than__iff,axiom,
% 163.65/163.53 ! [V_y_2,V_x_2] :
% 163.65/163.53 ( 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))
% 163.65/163.53 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x_2),V_y_2)) ) ).
% 163.65/163.53
% 163.65/163.53 fof(fact_max__ext__additive,axiom,
% 163.65/163.53 ! [V_D_2,V_C_2,V_R_2,V_B_2,V_A_2,T_b] :
% 163.65/163.53 ( 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)))
% 163.65/163.53 => ( 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)))
% 163.65/163.53 => 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))) ) ) ).
% 163.65/163.53
% 163.65/163.53 fof(fact_inj__on__Inter,axiom,
% 163.65/163.53 ! [V_f_2,T_c,T_b,V_S_2] :
% 163.65/163.53 ( V_S_2 != c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool))
% 163.65/163.53 => ( ! [B_A] :
% 163.65/163.53 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_A),V_S_2))
% 163.65/163.53 => c_Fun_Oinj__on(T_b,T_c,V_f_2,B_A) )
% 163.65/163.53 => 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)) ) ) ).
% 163.65/163.53
% 163.65/163.53 fof(fact_Inter__subset,axiom,
% 163.65/163.53 ! [V_B_2,V_A_2,T_b] :
% 163.65/163.53 ( ! [B_X] :
% 163.65/163.53 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_X),V_A_2))
% 163.65/163.53 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),B_X),V_B_2)) )
% 163.65/163.53 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool))
% 163.65/163.53 => 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)) ) ) ).
% 163.65/163.53
% 163.65/163.53 fof(fact_wf__less__than,axiom,
% 163.65/163.53 c_Wellfounded_Owf(tc_Nat_Onat,c_Wellfounded_Oless__than) ).
% 163.65/163.53
% 163.65/163.53 fof(fact_max__ext__wf,axiom,
% 163.65/163.53 ! [V_r_2,T_b] :
% 163.65/163.53 ( c_Wellfounded_Owf(T_b,V_r_2)
% 163.65/163.53 => c_Wellfounded_Owf(tc_fun(T_b,tc_HOL_Obool),c_Wellfounded_Omax__ext(T_b,V_r_2)) ) ).
% 163.65/163.53
% 163.65/163.53 fof(fact_max__weak__def,axiom,
% 163.65/163.53 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)))) ).
% 163.65/163.53
% 163.65/163.53 fof(fact_pair__less__def,axiom,
% 163.65/163.53 c_FunDef_Opair__less = c_Wellfounded_Olex__prod(tc_Nat_Onat,tc_Nat_Onat,c_Wellfounded_Oless__than,c_Wellfounded_Oless__than) ).
% 163.65/163.53
% 163.65/163.53 fof(fact_min__weak__def,axiom,
% 163.65/163.53 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)))) ).
% 163.65/163.53
% 163.65/163.53 fof(fact_min__ext__wf,axiom,
% 163.65/163.53 ! [V_r_2,T_b] :
% 163.65/163.53 ( c_Wellfounded_Owf(T_b,V_r_2)
% 163.65/163.53 => c_Wellfounded_Owf(tc_fun(T_b,tc_HOL_Obool),c_Wellfounded_Omin__ext(T_b,V_r_2)) ) ).
% 163.65/163.53
% 163.65/163.53 fof(fact_max__strict__def,axiom,
% 163.65/163.53 c_FunDef_Omax__strict = c_Wellfounded_Omax__ext(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_FunDef_Opair__less) ).
% 163.65/163.53
% 163.65/163.53 fof(fact_max__extp__max__ext__eq,axiom,
% 163.65/163.53 ! [V_xa_2,V_x_2,V_R_2,T_b] :
% 163.65/163.53 ( 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)
% 163.65/163.53 <=> 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))) ) ).
% 163.65/163.53
% 163.65/163.53 fof(fact_mlex__prod__def,axiom,
% 163.65/163.53 ! [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))) ).
% 163.65/163.53
% 163.65/163.53 fof(fact_min__rpair__set,axiom,
% 163.65/163.53 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)) ).
% 163.65/163.53
% 163.65/163.53 fof(fact_max__rpair__set,axiom,
% 163.65/163.53 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)) ).
% 163.65/163.53
% 163.65/163.53 fof(fact_wmax__emptyI,axiom,
% 163.65/163.53 ! [V_X_2] :
% 163.65/163.53 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_X_2))
% 163.65/163.53 => 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)) ) ).
% 163.65/163.53
% 163.65/163.53 fof(fact_smax__emptyI,axiom,
% 163.65/163.53 ! [V_Y_2] :
% 163.65/163.53 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_Y_2))
% 163.65/163.53 => ( V_Y_2 != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))
% 163.65/163.53 => 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)) ) ) ).
% 163.65/163.53
% 163.65/163.53 fof(fact_measure__def,axiom,
% 163.65/163.53 ! [T_b] : c_Wellfounded_Omeasure(T_b) = hAPP(c_Relation_Oinv__image(tc_Nat_Onat,T_b),c_Wellfounded_Oless__than) ).
% 163.65/163.53
% 163.65/163.53 fof(fact_InterI,axiom,
% 163.65/163.53 ! [V_A_2,V_C_2,T_b] :
% 163.65/163.53 ( ! [B_X] :
% 163.65/163.53 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_X),V_C_2))
% 163.65/163.53 => hBOOL(hAPP(hAPP(c_member(T_b),V_A_2),B_X)) )
% 163.65/163.53 => 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))) ) ).
% 163.65/163.53
% 163.65/163.53 fof(fact_finite_OemptyI,axiom,
% 163.65/163.53 ! [T_b] : hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) ).
% 163.65/163.53
% 163.65/163.53 fof(fact_finite_OinsertI,axiom,
% 163.65/163.53 ! [V_a_2,V_A_2,T_b] :
% 163.65/163.54 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.65/163.54 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2))) ) ).
% 163.65/163.54
% 163.65/163.54 fof(fact_finite__imageI,axiom,
% 163.65/163.54 ! [V_h_2,T_c,V_F_2,T_b] :
% 163.65/163.54 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2))
% 163.65/163.54 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(c_Set_Oimage(T_b,T_c,V_h_2),V_F_2))) ) ).
% 163.65/163.54
% 163.65/163.54 fof(fact_finite__Int,axiom,
% 163.65/163.54 ! [V_Ga_2,V_F_2,T_b] :
% 163.65/163.54 ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2))
% 163.65/163.54 | hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_Ga_2)) )
% 163.65/163.54 => 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))) ) ).
% 163.65/163.54
% 163.65/163.54 fof(fact_finite__Diff,axiom,
% 163.65/163.54 ! [V_B_2,V_A_2,T_b] :
% 163.65/163.54 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.65/163.54 => 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))) ) ).
% 163.65/163.54
% 163.65/163.54 fof(fact_finite__Inter,axiom,
% 163.65/163.54 ! [V_M_2,T_b] :
% 163.65/163.54 ( ? [B_x] :
% 163.65/163.54 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_x),V_M_2))
% 163.65/163.54 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),B_x)) )
% 163.65/163.54 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),V_M_2))) ) ).
% 163.65/163.54
% 163.65/163.54 fof(fact_finite__Collect__conjI,axiom,
% 163.65/163.54 ! [V_Q_2,V_P_2,T_b] :
% 163.65/163.54 ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),V_P_2)))
% 163.65/163.54 | hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),V_Q_2))) )
% 163.65/163.54 => 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)))) ) ).
% 163.65/163.54
% 163.65/163.54 fof(fact_wf__inv__image,axiom,
% 163.65/163.54 ! [V_f_2,T_c,V_r_2,T_b] :
% 163.65/163.54 ( c_Wellfounded_Owf(T_b,V_r_2)
% 163.65/163.54 => c_Wellfounded_Owf(T_c,hAPP(hAPP(c_Relation_Oinv__image(T_b,T_c),V_r_2),V_f_2)) ) ).
% 163.65/163.54
% 163.65/163.54 fof(fact_finite__INT,axiom,
% 163.65/163.54 ! [V_A_2,T_c,V_I_2,T_b] :
% 163.65/163.54 ( ? [B_x] :
% 163.65/163.54 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_I_2))
% 163.65/163.54 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(V_A_2,B_x))) )
% 163.65/163.54 => 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))) ) ).
% 163.65/163.54
% 163.65/163.54 fof(fact_finite__Collect__subsets,axiom,
% 163.65/163.54 ! [V_A_2,T_b] :
% 163.65/163.54 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.65/163.54 => 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)))) ) ).
% 163.65/163.54
% 163.65/163.54 fof(fact_finite__UnionD,axiom,
% 163.65/163.54 ! [V_A_2,T_b] :
% 163.65/163.54 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_A_2)))
% 163.65/163.54 => hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(T_b,tc_HOL_Obool)),V_A_2)) ) ).
% 163.65/163.54
% 163.65/163.54 fof(fact_finite__Domain,axiom,
% 163.65/163.54 ! [V_r_2,T_c,T_b] :
% 163.65/163.54 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_c)),V_r_2))
% 163.65/163.54 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Relation_ODomain(T_b,T_c),V_r_2))) ) ).
% 163.65/163.54
% 163.65/163.54 fof(fact_finite__Pow__iff,axiom,
% 163.65/163.54 ! [V_A_2,T_b] :
% 163.65/163.54 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_OPow(T_b),V_A_2)))
% 163.65/163.54 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ).
% 163.65/163.54
% 163.65/163.54 fof(fact_finite__Range,axiom,
% 163.65/163.54 ! [V_r_2,T_c,T_b] :
% 163.65/163.54 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_c)),V_r_2))
% 163.65/163.54 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(c_Relation_ORange(T_b,T_c),V_r_2))) ) ).
% 163.65/163.54
% 163.65/163.54 fof(fact_finite__code,axiom,
% 163.65/163.54 ! [V_A_2,T_b] :
% 163.65/163.54 ( class_Finite__Set_Ofinite(T_b)
% 163.65/163.54 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ).
% 163.65/163.54
% 163.65/163.54 fof(fact_finite,axiom,
% 163.65/163.54 ! [V_A_2,T_b] :
% 163.65/163.54 ( class_Finite__Set_Ofinite(T_b)
% 163.65/163.54 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ).
% 163.65/163.54
% 163.65/163.54 fof(fact_finite__Prod__UNIV,axiom,
% 163.65/163.54 ! [T_c,T_b] :
% 163.65/163.54 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))))
% 163.65/163.54 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))))
% 163.65/163.54 => 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)))) ) ) ).
% 163.65/163.54
% 163.65/163.54 fof(fact_finite__Plus__UNIV__iff,axiom,
% 163.65/163.54 ! [T_c,T_b] :
% 163.65/163.54 ( 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))))
% 163.65/163.54 <=> ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))))
% 163.65/163.54 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))) ) ) ).
% 163.65/163.54
% 163.65/163.54 fof(fact_finite__option__UNIV,axiom,
% 163.65/163.54 ! [T_b] :
% 163.65/163.54 ( 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))))
% 163.65/163.54 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) ) ).
% 163.65/163.54
% 163.65/163.54 fof(fact_finite__Field,axiom,
% 163.65/163.54 ! [V_r_2,T_b] :
% 163.65/163.54 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_b)),V_r_2))
% 163.65/163.54 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Relation_OField(T_b),V_r_2))) ) ).
% 163.65/163.54
% 163.65/163.54 fof(fact_finite_Oequations_I1_J,axiom,
% 163.65/163.54 ! [T_b] : hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) ).
% 163.65/163.54
% 163.65/163.54 fof(fact_finite__insert,axiom,
% 163.65/163.54 ! [V_A_2,V_a_2,T_b] :
% 163.65/163.54 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)))
% 163.65/163.54 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ).
% 163.65/163.54
% 163.65/163.54 fof(fact_finite__fun__UNIVD2,axiom,
% 163.65/163.54 ! [T_c,T_b] :
% 163.65/163.54 ( 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))))
% 163.65/163.54 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))) ) ).
% 163.65/163.54
% 163.65/163.54 fof(fact_finite__subset,axiom,
% 163.65/163.54 ! [V_B_2,V_A_2,T_b] :
% 163.65/163.54 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 163.65/163.54 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 163.65/163.54 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ) ).
% 163.65/163.54
% 163.65/163.54 fof(fact_rev__finite__subset,axiom,
% 163.65/163.54 ! [V_A_2,V_B_2,T_b] :
% 163.65/163.54 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 163.65/163.54 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 163.65/163.54 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ) ).
% 163.65/163.54
% 163.65/163.54 fof(fact_finite__UNIV,axiom,
% 163.65/163.54 ! [T_b] :
% 163.65/163.54 ( class_Finite__Set_Ofinite(T_b)
% 163.65/163.54 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) ) ).
% 163.65/163.54
% 163.65/163.54 fof(fact_finite__Un,axiom,
% 163.65/163.54 ! [V_Ga_2,V_F_2,T_b] :
% 163.65/163.54 ( 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)))
% 163.65/163.54 <=> ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2))
% 163.65/163.54 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_Ga_2)) ) ) ).
% 163.65/163.54
% 163.65/163.54 fof(fact_finite__UnI,axiom,
% 163.65/163.54 ! [V_Ga_2,V_F_2,T_b] :
% 163.65/163.54 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2))
% 163.65/163.54 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_Ga_2))
% 163.65/163.54 => 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))) ) ) ).
% 163.65/163.54
% 163.65/163.54 fof(fact_finite__Diff2,axiom,
% 163.65/163.54 ! [V_A_2,V_B_2,T_b] :
% 163.65/163.54 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 163.65/163.54 => ( 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)))
% 163.65/163.54 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ) ).
% 163.65/163.54
% 163.65/163.54 fof(fact_finite__UN,axiom,
% 163.65/163.54 ! [V_B_2,T_c,V_A_2,T_b] :
% 163.65/163.54 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.65/163.54 => ( 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)))
% 163.65/163.54 <=> ! [B_x] :
% 163.65/163.54 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 163.65/163.54 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(V_B_2,B_x))) ) ) ) ).
% 163.65/163.54
% 163.65/163.54 fof(fact_finite__converse,axiom,
% 163.65/163.54 ! [V_r_2,T_c,T_b] :
% 163.65/163.54 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_c)),hAPP(c_Relation_Oconverse(T_c,T_b),V_r_2)))
% 163.65/163.54 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_c,T_b)),V_r_2)) ) ).
% 163.65/163.54
% 163.65/163.54 fof(fact_fold__graph__imp__finite,axiom,
% 163.65/163.54 ! [V_x_2,V_A_2,V_z_2,V_f_2,T_c,T_b] :
% 163.65/163.54 ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,V_A_2),V_x_2))
% 163.65/163.54 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ).
% 163.65/163.54
% 163.65/163.54 fof(fact_nat__seg__image__imp__finite,axiom,
% 163.65/163.54 ! [V_n_2,V_f_2,T_b,V_A_2] :
% 163.65/163.54 ( 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)))
% 163.65/163.54 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ).
% 163.65/163.54
% 163.65/163.54 fof(fact_finite__Collect__disjI,axiom,
% 163.65/163.54 ! [V_Q_2,V_P_2,T_b] :
% 163.65/163.54 ( 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))))
% 163.65/163.54 <=> ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),V_P_2)))
% 163.65/163.54 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),V_Q_2))) ) ) ).
% 163.65/163.54
% 163.65/163.54 fof(fact_finite__surj,axiom,
% 163.65/163.54 ! [V_f_2,V_B_2,T_c,V_A_2,T_b] :
% 163.65/163.54 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.65/163.54 => ( 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)))
% 163.65/163.54 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) ) ) ).
% 163.65/163.54
% 163.65/163.54 fof(fact_finite__Diff__insert,axiom,
% 163.65/163.54 ! [V_B_2,V_a_2,V_A_2,T_b] :
% 163.65/163.54 ( 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))))
% 163.65/163.54 <=> 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))) ) ).
% 163.65/163.54
% 163.65/163.54 fof(fact_finite__imageD,axiom,
% 163.65/163.54 ! [V_A_2,V_f_2,T_c,T_b] :
% 163.65/163.54 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2)))
% 163.65/163.54 => ( c_Fun_Oinj__on(T_c,T_b,V_f_2,V_A_2)
% 163.65/163.54 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2)) ) ) ).
% 163.65/163.54
% 163.65/163.54 fof(fact_converse__inv__image,axiom,
% 163.65/163.54 ! [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) ).
% 163.65/163.54
% 163.65/163.54 fof(fact_finite__compl,axiom,
% 163.65/163.54 ! [V_A_2,T_b] :
% 163.65/163.54 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.65/163.54 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2)))
% 163.65/163.54 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) ) ) ).
% 163.65/163.54
% 163.65/163.54 fof(fact_finite__Collect__not,axiom,
% 163.65/163.54 ! [V_P_2,T_b] :
% 163.65/163.54 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),V_P_2)))
% 163.65/163.54 => ( 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))))
% 163.65/163.54 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) ) ) ).
% 163.65/163.54
% 163.65/163.54 fof(fact_finite__range__imageI,axiom,
% 163.65/163.54 ! [V_f_2,T_d,V_g_2,T_c,T_b] :
% 163.65/163.54 ( 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)))))
% 163.65/163.54 => 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))))) ) ).
% 163.65/163.54
% 163.65/163.54 fof(fact_endo__inj__surj,axiom,
% 163.65/163.54 ! [V_f_2,V_A_2,T_b] :
% 163.65/163.54 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.65/163.54 => ( 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))
% 163.65/163.54 => ( c_Fun_Oinj__on(T_b,T_b,V_f_2,V_A_2)
% 163.65/163.54 => hAPP(c_Set_Oimage(T_b,T_b,V_f_2),V_A_2) = V_A_2 ) ) ) ).
% 163.65/163.54
% 163.65/163.54 fof(fact_finite__surj__inj,axiom,
% 163.65/163.54 ! [V_f_2,V_A_2,T_b] :
% 163.65/163.54 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.65/163.54 => ( 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)))
% 163.65/163.54 => c_Fun_Oinj__on(T_b,T_b,V_f_2,V_A_2) ) ) ).
% 163.65/163.54
% 163.65/163.54 fof(fact_finite__UNIV__inj__surj,axiom,
% 163.65/163.54 ! [V_f_2,T_b] :
% 163.65/163.54 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))))
% 163.65/163.54 => ( c_Fun_Oinj__on(T_b,T_b,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 163.65/163.54 => 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)) ) ) ).
% 163.65/163.54
% 163.65/163.54 fof(fact_finite__UNIV__surj__inj,axiom,
% 163.65/163.54 ! [V_f_2,T_b] :
% 163.65/163.54 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))))
% 163.65/163.54 => ( 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))
% 163.65/163.54 => c_Fun_Oinj__on(T_b,T_b,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) ) ) ).
% 163.65/163.54
% 163.65/163.54 fof(fact_finite__vimageD,axiom,
% 163.65/163.54 ! [V_F_2,V_h_2,T_c,T_b] :
% 163.65/163.54 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_Ovimage(T_b,T_c,V_h_2),V_F_2)))
% 163.65/163.54 => ( 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))
% 163.65/163.54 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_F_2)) ) ) ).
% 163.65/163.54
% 163.65/163.54 fof(fact_finite__vimageI,axiom,
% 163.65/163.54 ! [V_h_2,T_c,V_F_2,T_b] :
% 163.65/163.54 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2))
% 163.65/163.54 => ( c_Fun_Oinj__on(T_c,T_b,V_h_2,c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))
% 163.65/163.54 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(c_Set_Ovimage(T_c,T_b,V_h_2),V_F_2))) ) ) ).
% 163.65/163.54
% 163.65/163.54 fof(fact_in__inv__image,axiom,
% 163.65/163.54 ! [V_f_2,V_r_2,T_c,V_y_2,V_x_2,T_b] :
% 163.65/163.54 ( 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)))
% 163.65/163.54 <=> 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)) ) ).
% 163.65/163.54
% 163.65/163.54 fof(fact_in__finite__psubset,axiom,
% 163.65/163.54 ! [V_B_2,V_A_2,T_b] :
% 163.65/163.54 ( 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)))
% 163.65/163.54 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 163.65/163.54 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) ) ) ).
% 163.65/163.54
% 163.65/163.54 fof(fact_folding__image__simple_Oremove,axiom,
% 163.65/163.54 ! [V_x_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] :
% 163.65/163.54 ( c_Finite__Set_Ofolding__image__simple(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2)
% 163.65/163.54 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 163.65/163.54 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),V_A_2))
% 163.65/163.54 => 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)))))) ) ) ) ).
% 163.65/163.54
% 163.65/163.54 fof(fact_folding__one_Oremove,axiom,
% 163.65/163.54 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_b] :
% 163.65/163.54 ( c_Finite__Set_Ofolding__one(T_b,V_f_2,V_F_2)
% 163.65/163.54 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.65/163.54 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 163.65/163.54 => ( ( 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))
% 163.65/163.54 => hAPP(V_F_2,V_A_2) = V_x_2 )
% 163.65/163.54 & ( 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))
% 163.65/163.54 => 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)))))) ) ) ) ) ) ).
% 163.65/163.54
% 163.65/163.54 fof(fact_folding__image__simple_Ounion__disjoint,axiom,
% 163.65/163.54 ! [V_B_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] :
% 163.65/163.54 ( c_Finite__Set_Ofolding__image__simple(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2)
% 163.65/163.54 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 163.65/163.54 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2))
% 163.65/163.54 => ( 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))
% 163.65/163.54 => 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)) ) ) ) ) ).
% 163.65/163.54
% 163.65/163.54 fof(fact_folding__one_Ounion__disjoint,axiom,
% 163.65/163.54 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_b] :
% 163.65/163.54 ( c_Finite__Set_Ofolding__one(T_b,V_f_2,V_F_2)
% 163.65/163.54 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.65/163.54 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.65/163.54 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 163.65/163.54 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.65/163.54 => ( 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))
% 163.65/163.54 => 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)) ) ) ) ) ) ) ).
% 163.65/163.54
% 163.65/163.54 fof(fact_folding__one_Ounion__inter,axiom,
% 163.65/163.54 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_b] :
% 163.65/163.54 ( c_Finite__Set_Ofolding__one(T_b,V_f_2,V_F_2)
% 163.65/163.54 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.65/163.54 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 163.65/163.54 => ( 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))
% 163.65/163.54 => 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)) ) ) ) ) ).
% 163.65/163.54
% 163.65/163.54 fof(fact_folding__image__simple_Oinsert__remove,axiom,
% 163.65/163.54 ! [V_x_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] :
% 163.65/163.54 ( c_Finite__Set_Ofolding__image__simple(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2)
% 163.65/163.54 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 163.65/163.54 => 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)))))) ) ) ).
% 163.65/163.54
% 163.65/163.54 fof(fact_folding__one_Oinsert__remove,axiom,
% 163.65/163.54 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_b] :
% 163.65/163.54 ( c_Finite__Set_Ofolding__one(T_b,V_f_2,V_F_2)
% 163.65/163.54 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.65/163.54 => ( ( 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))
% 163.65/163.54 => hAPP(V_F_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = V_x_2 )
% 163.65/163.54 & ( 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))
% 163.65/163.54 => 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)))))) ) ) ) ) ).
% 163.65/163.54
% 163.65/163.54 fof(fact_finite__Collect__less__nat,axiom,
% 163.65/163.54 ! [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)))) ).
% 163.65/163.54
% 163.65/163.54 fof(fact_finite__Collect__le__nat,axiom,
% 163.65/163.54 ! [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)))) ).
% 163.65/163.54
% 163.65/163.54 fof(fact_folding__image__simple_Oempty,axiom,
% 163.65/163.54 ! [V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] :
% 163.65/163.54 ( c_Finite__Set_Ofolding__image__simple(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2)
% 163.65/163.54 => hAPP(V_F_2,c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))) = V_z_2 ) ).
% 163.65/163.54
% 163.65/163.54 fof(fact_folding__one_Osingleton,axiom,
% 163.65/163.54 ! [V_x_2,V_F_2,V_f_2,T_b] :
% 163.65/163.54 ( c_Finite__Set_Ofolding__one(T_b,V_f_2,V_F_2)
% 163.65/163.54 => 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 ) ).
% 163.65/163.54
% 163.65/163.54 fof(fact_folding__image__simple_Oinsert,axiom,
% 163.65/163.54 ! [V_x_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] :
% 163.65/163.54 ( c_Finite__Set_Ofolding__image__simple(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2)
% 163.65/163.54 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 163.65/163.54 => ( ~ hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),V_A_2))
% 163.65/163.54 => 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)) ) ) ) ).
% 163.65/163.54
% 163.65/163.54 fof(fact_folding__image__simple_Ounion__inter,axiom,
% 163.65/163.54 ! [V_B_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] :
% 163.65/163.54 ( c_Finite__Set_Ofolding__image__simple(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2)
% 163.65/163.54 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 163.65/163.54 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2))
% 163.65/163.54 => 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)) ) ) ) ).
% 163.65/163.54
% 163.65/163.54 fof(fact_wf__finite__psubset,axiom,
% 163.65/163.54 ! [T_b] : c_Wellfounded_Owf(tc_fun(T_b,tc_HOL_Obool),c_Wellfounded_Ofinite__psubset(T_b)) ).
% 163.65/163.54
% 163.65/163.54 fof(fact_folding__one_Oinsert,axiom,
% 163.65/163.54 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_b] :
% 163.65/163.54 ( c_Finite__Set_Ofolding__one(T_b,V_f_2,V_F_2)
% 163.65/163.54 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.65/163.54 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 163.65/163.54 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.65/163.54 => 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)) ) ) ) ) ).
% 163.65/163.54
% 163.65/163.54 fof(fact_finite__M__bounded__by__nat,axiom,
% 163.65/163.54 ! [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))))) ).
% 163.65/163.54
% 163.65/163.54 fof(fact_finite__Union,axiom,
% 163.65/163.54 ! [V_A_2,T_b] :
% 163.65/163.54 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(T_b,tc_HOL_Obool)),V_A_2))
% 163.65/163.54 => ( ! [B_M] :
% 163.65/163.54 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_M),V_A_2))
% 163.65/163.54 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),B_M)) )
% 163.65/163.54 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_A_2))) ) ) ).
% 163.65/163.54
% 163.65/163.54 fof(fact_folding__one_Oclosed,axiom,
% 163.65/163.54 ! [V_A_2,V_F_2,V_f_2,T_b] :
% 163.65/163.54 ( c_Finite__Set_Ofolding__one(T_b,V_f_2,V_F_2)
% 163.65/163.54 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.65/163.54 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.65/163.54 => ( ! [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))))))
% 163.65/163.54 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(V_F_2,V_A_2)),V_A_2)) ) ) ) ) ).
% 163.65/163.54
% 163.65/163.54 fof(fact_rp__inv__image__rp,axiom,
% 163.65/163.54 ! [V_f_2,T_c,V_P_2,T_b] :
% 163.65/163.54 ( c_FunDef_Oreduction__pair(T_b,V_P_2)
% 163.65/163.54 => c_FunDef_Oreduction__pair(T_c,hAPP(hAPP(c_FunDef_Orp__inv__image(T_b,T_c),V_P_2),V_f_2)) ) ).
% 163.65/163.54
% 163.65/163.54 fof(fact_finite__empty__induct,axiom,
% 163.65/163.54 ! [V_P_2,V_A_2,T_b] :
% 163.65/163.54 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.65/163.54 => ( hBOOL(hAPP(V_P_2,V_A_2))
% 163.65/163.54 => ( ! [B_a,B_A] :
% 163.65/163.54 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),B_A))
% 163.65/163.54 => ( hBOOL(hAPP(hAPP(c_member(T_b),B_a),B_A))
% 163.65/163.54 => ( hBOOL(hAPP(V_P_2,B_A))
% 163.65/163.54 => 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)))))) ) ) )
% 163.65/163.54 => hBOOL(hAPP(V_P_2,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) ) ) ) ).
% 163.65/163.54
% 163.65/163.54 fof(fact_folding__one__idem_Ounion__idem,axiom,
% 163.65/163.54 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_b] :
% 163.65/163.54 ( c_Finite__Set_Ofolding__one__idem(T_b,V_f_2,V_F_2)
% 163.65/163.54 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.65/163.54 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.65/163.54 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 163.65/163.54 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.65/163.54 => 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)) ) ) ) ) ) ).
% 163.65/163.54
% 163.65/163.54 fof(fact_reduction__pairI,axiom,
% 163.65/163.54 ! [V_S_2,V_R_2,T_b] :
% 163.65/163.54 ( c_Wellfounded_Owf(T_b,V_R_2)
% 163.65/163.54 => ( 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))
% 163.65/163.54 => 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)) ) ) ).
% 163.65/163.54
% 163.65/163.54 fof(fact_rel__compI,axiom,
% 163.65/163.54 ! [V_s_2,V_c_2,T_d,V_r_2,V_b_2,V_a_2,T_c,T_b] :
% 163.65/163.54 ( 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))
% 163.65/163.54 => ( 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))
% 163.65/163.54 => 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))) ) ) ).
% 163.65/163.54
% 163.65/163.54 fof(fact_infinite__UNIV__nat,axiom,
% 163.65/163.54 ~ hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool)))) ).
% 163.65/163.54
% 163.65/163.54 fof(fact_O__assoc,axiom,
% 163.65/163.54 ! [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)) ).
% 163.65/163.54
% 163.65/163.54 fof(fact_folding__one__idem_Oidem,axiom,
% 163.65/163.54 ! [V_x_2,V_F_2,V_f_2,T_b] :
% 163.65/163.54 ( c_Finite__Set_Ofolding__one__idem(T_b,V_f_2,V_F_2)
% 163.65/163.54 => hAPP(hAPP(V_f_2,V_x_2),V_x_2) = V_x_2 ) ).
% 163.65/163.54
% 163.65/163.54 fof(fact_wf__comp__self,axiom,
% 163.65/163.54 ! [V_R_2,T_b] :
% 163.65/163.54 ( c_Wellfounded_Owf(T_b,V_R_2)
% 163.65/163.54 <=> c_Wellfounded_Owf(T_b,hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),V_R_2),V_R_2)) ) ).
% 163.65/163.54
% 163.65/163.54 fof(fact_rel__comp__mono,axiom,
% 163.65/163.54 ! [V_s_2,V_s_H_2,T_d,V_r_2,V_r_H_2,T_c,T_b] :
% 163.65/163.54 ( 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))
% 163.65/163.54 => ( 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))
% 163.65/163.54 => 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))) ) ) ).
% 163.65/163.54
% 163.65/163.54 fof(fact_rel__comp__empty2,axiom,
% 163.65/163.54 ! [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)) ).
% 163.65/163.54
% 163.65/163.54 fof(fact_rel__comp__empty1,axiom,
% 163.65/163.54 ! [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)) ).
% 163.65/163.54
% 163.65/163.54 fof(fact_converse__rel__comp,axiom,
% 163.65/163.54 ! [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)) ).
% 163.65/163.54
% 163.65/163.54 fof(fact_rel__comp__distrib,axiom,
% 163.65/163.54 ! [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)) ).
% 163.65/163.54
% 163.65/163.54 fof(fact_rel__comp__distrib2,axiom,
% 163.65/163.54 ! [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)) ).
% 163.65/163.54
% 163.65/163.54 fof(fact_R__O__Id,axiom,
% 163.65/163.54 ! [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 ).
% 163.65/163.54
% 163.65/163.54 fof(fact_Id__O__R,axiom,
% 163.65/163.54 ! [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 ).
% 163.65/163.54
% 163.65/163.54 fof(fact_single__valued__rel__comp,axiom,
% 163.65/163.54 ! [V_s_2,T_d,V_r_2,T_c,T_b] :
% 163.65/163.54 ( c_Relation_Osingle__valued(T_b,T_c,V_r_2)
% 163.65/163.54 => ( c_Relation_Osingle__valued(T_c,T_d,V_s_2)
% 163.65/163.54 => 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)) ) ) ).
% 163.65/163.54
% 163.65/163.54 fof(fact_rel__comp__UNION__distrib,axiom,
% 163.65/163.54 ! [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)) ).
% 163.65/163.54
% 163.65/163.54 fof(fact_rel__comp__UNION__distrib2,axiom,
% 163.65/163.54 ! [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)) ).
% 163.65/163.54
% 163.65/163.54 fof(fact_wf__no__loop,axiom,
% 163.65/163.54 ! [V_R_2,T_b] :
% 163.65/163.54 ( 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))
% 163.65/163.54 => c_Wellfounded_Owf(T_b,V_R_2) ) ).
% 163.65/163.54
% 163.65/163.54 fof(fact_wf__union__merge,axiom,
% 163.65/163.54 ! [V_S_2,V_R_2,T_b] :
% 163.65/163.54 ( 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))
% 163.65/163.54 <=> 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)) ) ).
% 163.65/163.54
% 163.65/163.54 fof(fact_union__comp__emptyR,axiom,
% 163.65/163.54 ! [V_C_2,V_B_2,V_A_2,T_b] :
% 163.65/163.54 ( 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))
% 163.65/163.54 => ( 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))
% 163.65/163.54 => 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)) ) ) ).
% 163.65/163.54
% 163.65/163.54 fof(fact_union__comp__emptyL,axiom,
% 163.65/163.54 ! [V_B_2,V_C_2,V_A_2,T_b] :
% 163.65/163.54 ( 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))
% 163.65/163.54 => ( 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))
% 163.65/163.54 => 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)) ) ) ).
% 163.65/163.54
% 163.65/163.54 fof(fact_equiv__comp__eq,axiom,
% 163.65/163.54 ! [V_r_2,V_A_2,T_b] :
% 163.65/163.54 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 163.65/163.54 => 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 ) ).
% 163.65/163.54
% 163.65/163.54 fof(fact_finite__nat__set__iff__bounded,axiom,
% 163.65/163.54 ! [V_N_2] :
% 163.65/163.54 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),V_N_2))
% 163.65/163.54 <=> ? [B_m] :
% 163.65/163.54 ! [B_x] :
% 163.65/163.54 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_x),V_N_2))
% 163.65/163.54 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_x),B_m)) ) ) ).
% 163.65/163.54
% 163.65/163.54 fof(fact_finite__nat__set__iff__bounded__le,axiom,
% 163.65/163.54 ! [V_N_2] :
% 163.65/163.54 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),V_N_2))
% 163.65/163.54 <=> ? [B_m] :
% 163.65/163.54 ! [B_x] :
% 163.65/163.54 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_x),V_N_2))
% 163.65/163.54 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_x),B_m)) ) ) ).
% 163.65/163.54
% 163.65/163.54 fof(fact_wf__union__compatible,axiom,
% 163.65/163.54 ! [V_S_2,V_R_2,T_b] :
% 163.65/163.54 ( c_Wellfounded_Owf(T_b,V_R_2)
% 163.65/163.54 => ( c_Wellfounded_Owf(T_b,V_S_2)
% 163.65/163.54 => ( 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))
% 163.65/163.54 => 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)) ) ) ) ).
% 163.65/163.54
% 163.65/163.54 fof(fact_comp__equivI,axiom,
% 163.65/163.54 ! [V_A_2,V_r_2,T_b] :
% 163.65/163.54 ( 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
% 163.65/163.54 => ( hAPP(c_Relation_ODomain(T_b,T_b),V_r_2) = V_A_2
% 163.65/163.54 => c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) ) ) ).
% 163.65/163.54
% 163.65/163.54 fof(fact_folding__one__idem_Oin__idem,axiom,
% 163.65/163.54 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_b] :
% 163.65/163.54 ( c_Finite__Set_Ofolding__one__idem(T_b,V_f_2,V_F_2)
% 163.65/163.54 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.65/163.54 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 163.65/163.54 => hAPP(hAPP(V_f_2,V_x_2),hAPP(V_F_2,V_A_2)) = hAPP(V_F_2,V_A_2) ) ) ) ).
% 163.65/163.54
% 163.65/163.54 fof(fact_max__ext__compat,axiom,
% 163.65/163.54 ! [V_S_2,V_R_2,T_b] :
% 163.65/163.54 ( 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))
% 163.65/163.54 => 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))) ) ).
% 163.65/163.54
% 163.65/163.54 fof(fact_min__ext__compat,axiom,
% 163.65/163.54 ! [V_S_2,V_R_2,T_b] :
% 163.65/163.54 ( 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))
% 163.65/163.54 => 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))) ) ).
% 163.65/163.54
% 163.65/163.54 fof(fact_folding__one__idem_Oinsert__idem,axiom,
% 163.65/163.54 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_b] :
% 163.65/163.54 ( c_Finite__Set_Ofolding__one__idem(T_b,V_f_2,V_F_2)
% 163.65/163.54 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.65/163.54 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.65/163.54 => 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)) ) ) ) ).
% 163.65/163.54
% 163.65/163.54 fof(fact_folding__one__idem_Osubset__idem,axiom,
% 163.65/163.54 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_b] :
% 163.65/163.54 ( c_Finite__Set_Ofolding__one__idem(T_b,V_f_2,V_F_2)
% 163.65/163.54 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.65/163.54 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.65/163.54 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 163.65/163.54 => 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) ) ) ) ) ).
% 163.65/163.54
% 163.65/163.54 fof(fact_ord_OatMost__iff,axiom,
% 163.65/163.54 ! [V_k_2,V_less__eq_2,V_i_2,T_b] :
% 163.65/163.54 ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),c_SetInterval_Oord_OatMost(T_b,V_less__eq_2,V_k_2)))
% 163.65/163.54 <=> hBOOL(hAPP(hAPP(V_less__eq_2,V_i_2),V_k_2)) ) ).
% 163.65/163.54
% 163.65/163.54 fof(fact_ord_OatLeast__iff,axiom,
% 163.65/163.54 ! [V_k_2,V_less__eq_2,V_i_2,T_b] :
% 163.65/163.54 ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),c_SetInterval_Oord_OatLeast(T_b,V_less__eq_2,V_k_2)))
% 163.65/163.54 <=> hBOOL(hAPP(hAPP(V_less__eq_2,V_k_2),V_i_2)) ) ).
% 163.65/163.54
% 163.65/163.54 fof(fact_ord_OlessThan__iff,axiom,
% 163.65/163.54 ! [V_k_2,V_less_2,V_i_2,T_b] :
% 163.65/163.54 ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),c_SetInterval_Oord_OlessThan(T_b,V_less_2,V_k_2)))
% 163.65/163.54 <=> hBOOL(hAPP(hAPP(V_less_2,V_i_2),V_k_2)) ) ).
% 163.65/163.54
% 163.65/163.54 fof(fact_ord_OgreaterThan__iff,axiom,
% 163.65/163.54 ! [V_k_2,V_less_2,V_i_2,T_b] :
% 163.65/163.54 ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),c_SetInterval_Oord_OgreaterThan(T_b,V_less_2,V_k_2)))
% 163.65/163.54 <=> hBOOL(hAPP(hAPP(V_less_2,V_k_2),V_i_2)) ) ).
% 163.65/163.54
% 163.65/163.54 fof(fact_ord_OatLeastAtMost__iff,axiom,
% 163.65/163.54 ! [V_u_2,V_l_2,V_less__eq_2,V_i_2,T_b] :
% 163.65/163.54 ( 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)))
% 163.65/163.54 <=> ( hBOOL(hAPP(hAPP(V_less__eq_2,V_l_2),V_i_2))
% 163.65/163.54 & hBOOL(hAPP(hAPP(V_less__eq_2,V_i_2),V_u_2)) ) ) ).
% 163.65/163.54
% 163.65/163.54 fof(fact_ord_OgreaterThanLessThan__iff,axiom,
% 163.65/163.54 ! [V_u_2,V_l_2,V_less_2,V_i_2,T_b] :
% 163.65/163.54 ( 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)))
% 163.65/163.54 <=> ( hBOOL(hAPP(hAPP(V_less_2,V_l_2),V_i_2))
% 163.65/163.54 & hBOOL(hAPP(hAPP(V_less_2,V_i_2),V_u_2)) ) ) ).
% 163.65/163.54
% 163.65/163.54 fof(fact_ord_OatLeastLessThan__iff,axiom,
% 163.65/163.54 ! [V_u_2,V_l_2,V_less_2,V_less__eq_2,V_i_2,T_b] :
% 163.65/163.54 ( 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)))
% 163.65/163.54 <=> ( hBOOL(hAPP(hAPP(V_less__eq_2,V_l_2),V_i_2))
% 163.65/163.54 & hBOOL(hAPP(hAPP(V_less_2,V_i_2),V_u_2)) ) ) ).
% 163.65/163.54
% 163.65/163.54 fof(fact_ord_OgreaterThanAtMost__iff,axiom,
% 163.65/163.54 ! [V_u_2,V_l_2,V_less_2,V_less__eq_2,V_i_2,T_b] :
% 163.65/163.54 ( 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)))
% 163.65/163.54 <=> ( hBOOL(hAPP(hAPP(V_less_2,V_l_2),V_i_2))
% 163.65/163.54 & hBOOL(hAPP(hAPP(V_less__eq_2,V_i_2),V_u_2)) ) ) ).
% 163.65/163.54
% 163.65/163.54 fof(fact_pred__comp__rel__comp__eq,axiom,
% 163.65/163.54 ! [V_y_2,V_x_2,V_s_2,V_r_2,T_d,T_c,T_b] :
% 163.65/163.54 ( 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))
% 163.65/163.54 <=> 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))) ) ).
% 163.65/163.54
% 163.65/163.54 fof(fact_finite__subset__induct,axiom,
% 163.65/163.54 ! [V_P_2,V_A_2,V_F_2,T_b] :
% 163.65/163.54 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2))
% 163.65/163.54 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_F_2),V_A_2))
% 163.65/163.54 => ( hBOOL(hAPP(V_P_2,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))
% 163.65/163.54 => ( ! [B_a,B_F] :
% 163.65/163.54 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),B_F))
% 163.65/163.54 => ( hBOOL(hAPP(hAPP(c_member(T_b),B_a),V_A_2))
% 163.65/163.54 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),B_a),B_F))
% 163.65/163.54 => ( hBOOL(hAPP(V_P_2,B_F))
% 163.65/163.54 => hBOOL(hAPP(V_P_2,hAPP(hAPP(c_Set_Oinsert(T_b),B_a),B_F))) ) ) ) )
% 163.65/163.54 => hBOOL(hAPP(V_P_2,V_F_2)) ) ) ) ) ).
% 163.65/163.54
% 163.65/163.54 fof(fact_finite__conv__nat__seg__image,axiom,
% 163.65/163.54 ! [V_A_2,T_b] :
% 163.65/163.54 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.65/163.54 <=> ? [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))) ) ).
% 163.65/163.54
% 163.65/163.54 fof(fact_rp__inv__image__def,axiom,
% 163.65/163.54 ! [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))) ).
% 163.65/163.54
% 163.65/163.54 fof(fact_max__extp_Oequations,axiom,
% 163.65/163.54 ! [V_a2_2,V_a1_2,V_R_2,T_b] :
% 163.65/163.54 ( c_Wellfounded_Omax__extp(T_b,V_R_2,V_a1_2,V_a2_2)
% 163.65/163.54 <=> ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_a1_2))
% 163.65/163.54 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_a2_2))
% 163.65/163.54 & V_a2_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.65/163.54 & ! [B_x] :
% 163.65/163.54 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_a1_2))
% 163.65/163.54 => ? [B_xa] :
% 163.65/163.54 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_a2_2))
% 163.65/163.54 & hBOOL(hAPP(hAPP(V_R_2,B_x),B_xa)) ) ) ) ) ).
% 163.65/163.54
% 163.65/163.54 fof(fact_max__ext_Ointros,axiom,
% 163.65/163.54 ! [V_R_2,V_Y_2,V_X_2,T_b] :
% 163.65/163.54 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_X_2))
% 163.65/163.54 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_Y_2))
% 163.65/163.54 => ( V_Y_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.65/163.54 => ( ! [B_x] :
% 163.65/163.54 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_X_2))
% 163.65/163.54 => ? [B_xa] :
% 163.65/163.54 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_Y_2))
% 163.65/163.54 & 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)) ) )
% 163.65/163.54 => 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))) ) ) ) ) ).
% 163.65/163.54
% 163.65/163.54 fof(fact_pred__comp_Ointros,axiom,
% 163.65/163.54 ! [T_d,T_c,T_b,V_c_2,V_s_2,V_b_2,V_a_2,V_r_2] :
% 163.65/163.54 ( hBOOL(hAPP(hAPP(V_r_2,V_a_2),V_b_2))
% 163.65/163.54 => ( hBOOL(hAPP(hAPP(V_s_2,V_b_2),V_c_2))
% 163.65/163.54 => 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)) ) ) ).
% 163.65/163.54
% 163.65/163.54 fof(fact_pred__comp_Oequations,axiom,
% 163.65/163.54 ! [V_a3_2,V_a1_2,V_s_2,V_r_2,T_d,T_c,T_b] :
% 163.65/163.54 ( 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))
% 163.65/163.54 <=> ? [B_b] :
% 163.65/163.54 ( hBOOL(hAPP(hAPP(V_r_2,V_a1_2),B_b))
% 163.65/163.54 & hBOOL(hAPP(hAPP(V_s_2,B_b),V_a3_2)) ) ) ).
% 163.65/163.54
% 163.65/163.54 fof(fact_converse__pred__comp,axiom,
% 163.65/163.54 ! [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)) ).
% 163.65/163.54
% 163.65/163.54 fof(fact_pair__imageI,axiom,
% 163.65/163.54 ! [V_f_2,T_d,V_A_2,V_b_2,V_a_2,T_c,T_b] :
% 163.65/163.54 ( 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))
% 163.65/163.54 => 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))) ) ).
% 163.65/163.54
% 163.65/163.54 fof(fact_split__eta,axiom,
% 163.65/163.54 ! [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 ).
% 163.65/163.54
% 163.65/163.54 fof(fact_split__conv,axiom,
% 163.65/163.54 ! [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) ).
% 163.65/163.54
% 163.65/163.54 fof(fact_prod_Osimps_I2_J,axiom,
% 163.65/163.54 ! [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) ).
% 163.65/163.54
% 163.65/163.54 fof(fact_fold1__Un,axiom,
% 163.65/163.54 ! [V_B_2,V_A_2,T_b] :
% 163.65/163.54 ( class_Groups_Oab__semigroup__mult(T_b)
% 163.65/163.54 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.65/163.54 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.65/163.54 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 163.65/163.54 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.65/163.54 => ( 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))
% 163.65/163.54 => 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)) ) ) ) ) ) ) ).
% 163.65/163.54
% 163.65/163.54 fof(fact_card__Diff2__less,axiom,
% 163.65/163.54 ! [V_y_2,V_x_2,V_A_2,T_b] :
% 163.65/163.54 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.65/163.54 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 163.65/163.54 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2))
% 163.65/163.54 => 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))) ) ) ) ).
% 163.65/163.54
% 163.65/163.54 fof(fact_card__Diff1__less,axiom,
% 163.65/163.54 ! [V_x_2,V_A_2,T_b] :
% 163.65/163.54 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.65/163.54 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 163.65/163.54 => 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))) ) ) ).
% 163.65/163.54
% 163.65/163.54 fof(fact_splitI,axiom,
% 163.65/163.54 ! [T_c,T_b,V_b_2,V_a_2,V_f_2] :
% 163.65/163.54 ( hBOOL(hAPP(hAPP(V_f_2,V_a_2),V_b_2))
% 163.65/163.54 => 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))) ) ).
% 163.65/163.54
% 163.65/163.54 fof(fact_prod__caseI,axiom,
% 163.65/163.54 ! [T_c,T_b,V_b_2,V_a_2,V_f1_2] :
% 163.65/163.54 ( hBOOL(hAPP(hAPP(V_f1_2,V_a_2),V_b_2))
% 163.65/163.54 => 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))) ) ).
% 163.65/163.54
% 163.65/163.54 fof(fact_mem__splitI,axiom,
% 163.65/163.54 ! [T_d,T_c,V_b_2,V_a_2,V_c_2,V_z_2,T_b] :
% 163.65/163.54 ( hBOOL(hAPP(hAPP(c_member(T_b),V_z_2),hAPP(hAPP(V_c_2,V_a_2),V_b_2)))
% 163.65/163.54 => 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)))) ) ).
% 163.65/163.54
% 163.65/163.54 fof(fact_splitD,axiom,
% 163.65/163.54 ! [V_b_2,V_a_2,V_f_2,T_c,T_b] :
% 163.65/163.54 ( 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)))
% 163.65/163.54 => hBOOL(hAPP(hAPP(V_f_2,V_a_2),V_b_2)) ) ).
% 163.65/163.54
% 163.65/163.54 fof(fact_splitD_H,axiom,
% 163.65/163.54 ! [V_c_2,V_b_2,V_a_2,V_R_2,T_d,T_c,T_b] :
% 163.65/163.54 ( 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))
% 163.65/163.54 => hBOOL(hAPP(hAPP(hAPP(V_R_2,V_a_2),V_b_2),V_c_2)) ) ).
% 163.65/163.54
% 163.65/163.54 fof(fact_The__split__eq,axiom,
% 163.65/163.54 ! [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) ).
% 163.65/163.54
% 163.65/163.54 fof(fact_split__paired__The,axiom,
% 163.65/163.54 ! [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)))) ).
% 163.65/163.54
% 163.65/163.54 fof(fact_swap__inj__on,axiom,
% 163.65/163.54 ! [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) ).
% 163.65/163.54
% 163.65/163.54 fof(fact_Id__on__def_H,axiom,
% 163.65/163.54 ! [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)) ).
% 163.65/163.54
% 163.65/163.54 fof(fact_card__eq__UNIV__imp__eq__UNIV,axiom,
% 163.65/163.54 ! [V_A_2,T_b] :
% 163.65/163.54 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))))
% 163.65/163.54 => ( 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)))
% 163.65/163.54 => V_A_2 = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ) ) ).
% 163.65/163.54
% 163.65/163.54 fof(fact_card__image,axiom,
% 163.65/163.54 ! [V_A_2,V_f_2,T_c,T_b] :
% 163.65/163.54 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 163.65/163.54 => 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) ) ).
% 163.65/163.54
% 163.65/163.54 fof(fact_inj__graph,axiom,
% 163.65/163.54 ! [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))) ).
% 163.65/163.54
% 163.65/163.54 fof(fact_wf,axiom,
% 163.65/163.54 ! [T_b] :
% 163.65/163.54 ( class_Orderings_Owellorder(T_b)
% 163.65/163.54 => 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)))) ) ).
% 163.65/163.54
% 163.65/163.54 fof(fact_fold1__singleton,axiom,
% 163.65/163.54 ! [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 ).
% 163.65/163.54
% 163.65/163.54 fof(fact_fold1__singleton__def,axiom,
% 163.65/163.54 ! [V_a_2,V_f_2,T_b,V_g_2] :
% 163.65/163.54 ( V_g_2 = c_Finite__Set_Ofold1(T_b,V_f_2)
% 163.65/163.54 => 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 ) ).
% 163.65/163.54
% 163.65/163.54 fof(fact_wfP__def,axiom,
% 163.65/163.54 ! [V_r_2,T_b] :
% 163.65/163.54 ( c_Wellfounded_OwfP(T_b,V_r_2)
% 163.65/163.54 <=> 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))) ) ).
% 163.65/163.54
% 163.65/163.54 fof(fact_folding__one_Oeq__fold,axiom,
% 163.65/163.54 ! [V_A_2,V_F_2,V_f_2,T_b] :
% 163.65/163.54 ( c_Finite__Set_Ofolding__one(T_b,V_f_2,V_F_2)
% 163.65/163.54 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.65/163.54 => hAPP(V_F_2,V_A_2) = hAPP(c_Finite__Set_Ofold1(T_b,V_f_2),V_A_2) ) ) ).
% 163.65/163.54
% 163.65/163.54 fof(fact_card__insert__le,axiom,
% 163.65/163.54 ! [V_x_2,V_A_2,T_b] :
% 163.65/163.54 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.65/163.54 => 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)))) ) ).
% 163.65/163.54
% 163.65/163.54 fof(fact_card__seteq,axiom,
% 163.65/163.54 ! [V_A_2,V_B_2,T_b] :
% 163.65/163.54 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 163.65/163.54 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 163.65/163.54 => ( 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)))
% 163.65/163.54 => V_A_2 = V_B_2 ) ) ) ).
% 163.65/163.54
% 163.65/163.54 fof(fact_card__mono,axiom,
% 163.65/163.54 ! [V_A_2,V_B_2,T_b] :
% 163.65/163.54 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 163.65/163.54 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 163.65/163.54 => 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))) ) ) ).
% 163.65/163.54
% 163.65/163.54 fof(fact_card__image__le,axiom,
% 163.65/163.54 ! [V_f_2,T_c,V_A_2,T_b] :
% 163.65/163.54 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.65/163.54 => 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))) ) ).
% 163.65/163.54
% 163.65/163.54 fof(fact_inj__on__iff__eq__card,axiom,
% 163.65/163.54 ! [V_f_2,T_c,V_A_2,T_b] :
% 163.65/163.54 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.65/163.54 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 163.65/163.54 <=> 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) ) ) ).
% 163.65/163.54
% 163.65/163.54 fof(fact_eq__card__imp__inj__on,axiom,
% 163.65/163.54 ! [V_f_2,T_c,V_A_2,T_b] :
% 163.65/163.54 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.65/163.54 => ( 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)
% 163.65/163.54 => c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) ) ) ).
% 163.65/163.54
% 163.65/163.54 fof(fact_pigeonhole,axiom,
% 163.65/163.54 ! [V_A_2,V_f_2,T_c,T_b] :
% 163.65/163.54 ( 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)))
% 163.65/163.54 => ~ c_Fun_Oinj__on(T_c,T_b,V_f_2,V_A_2) ) ).
% 163.65/163.54
% 163.65/163.54 fof(fact_card__quotient__disjoint,axiom,
% 163.65/163.54 ! [V_r_2,V_A_2,T_b] :
% 163.65/163.54 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.65/163.54 => ( 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)
% 163.65/163.54 => 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) ) ) ).
% 163.65/163.54
% 163.65/163.54 fof(fact_wf__less,axiom,
% 163.65/163.54 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)))) ).
% 163.65/163.54
% 163.65/163.54 fof(fact_psubset__card__mono,axiom,
% 163.65/163.54 ! [V_A_2,V_B_2,T_b] :
% 163.65/163.54 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 163.65/163.54 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 163.65/163.54 => 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))) ) ) ).
% 163.65/163.54
% 163.65/163.54 fof(fact_Pair__inject,axiom,
% 163.65/163.54 ! [V_b_H,V_a_H,V_b,V_a,T_b,T_a] :
% 163.65/163.54 ( 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)
% 163.65/163.54 => ~ ( V_a = V_a_H
% 163.65/163.54 => V_b != V_b_H ) ) ).
% 163.65/163.54
% 163.65/163.54 fof(fact_Pair__eq,axiom,
% 163.65/163.54 ! [V_b_H_2,V_a_H_2,V_b_2,V_a_2,T_c,T_b] :
% 163.65/163.54 ( 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)
% 163.65/163.54 <=> ( V_a_2 = V_a_H_2
% 163.65/163.54 & V_b_2 = V_b_H_2 ) ) ).
% 163.65/163.54
% 163.65/163.54 fof(fact_split__paired__All,axiom,
% 163.65/163.54 ! [T_c,T_b,V_P_2] :
% 163.65/163.54 ( ! [B_x1] : hBOOL(hAPP(V_P_2,B_x1))
% 163.65/163.54 <=> ! [B_a,B_b] : hBOOL(hAPP(V_P_2,hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),B_a),B_b))) ) ).
% 163.65/163.54
% 163.65/163.54 fof(fact_converse__def,axiom,
% 163.65/163.54 ! [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))) ).
% 163.65/163.54
% 163.65/163.54 fof(fact_fold1__def,axiom,
% 163.65/163.54 ! [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)) ).
% 163.65/163.54
% 163.65/163.54 fof(fact_inv__image__def,axiom,
% 163.65/163.54 ! [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))) ).
% 163.65/163.54
% 163.65/163.54 fof(fact_split__weak__cong,axiom,
% 163.65/163.54 ! [V_c_2,T_d,T_c,T_b,V_q_2,V_p_2] :
% 163.65/163.54 ( V_p_2 = V_q_2
% 163.65/163.54 => 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) ) ).
% 163.65/163.54
% 163.65/163.54 fof(fact_card__bij__eq,axiom,
% 163.65/163.54 ! [V_g_2,V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 163.65/163.54 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 163.65/163.54 => ( 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))
% 163.65/163.54 => ( c_Fun_Oinj__on(T_c,T_b,V_g_2,V_B_2)
% 163.65/163.54 => ( 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))
% 163.65/163.54 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.65/163.54 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2))
% 163.65/163.54 => hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = hAPP(c_Finite__Set_Ocard(T_c),V_B_2) ) ) ) ) ) ) ).
% 163.65/163.54
% 163.65/163.54 fof(fact_card__Diff__subset,axiom,
% 163.65/163.54 ! [V_A_2,V_B_2,T_b] :
% 163.65/163.54 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 163.65/163.54 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 163.65/163.54 => 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)) ) ) ).
% 163.65/163.54
% 163.65/163.54 fof(fact_card__Diff__subset__Int,axiom,
% 163.65/163.54 ! [V_B_2,V_A_2,T_b] :
% 163.65/163.54 ( 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)))
% 163.65/163.54 => 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))) ) ).
% 163.65/163.54
% 163.65/163.54 fof(fact_diff__card__le__card__Diff,axiom,
% 163.65/163.54 ! [V_A_2,V_B_2,T_b] :
% 163.65/163.54 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 163.65/163.54 => 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)))) ) ).
% 163.65/163.54
% 163.65/163.54 fof(fact_card__psubset,axiom,
% 163.65/163.54 ! [V_A_2,V_B_2,T_b] :
% 163.65/163.54 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 163.65/163.54 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 163.65/163.54 => ( 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)))
% 163.65/163.54 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ) ).
% 163.65/163.54
% 163.65/163.54 fof(fact_finite__psubset__def,axiom,
% 163.65/163.54 ! [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)))) ).
% 163.65/163.54
% 163.65/163.54 fof(fact_fold1__insert__idem,axiom,
% 163.65/163.54 ! [V_x_2,V_A_2,T_b] :
% 163.65/163.54 ( class_Lattices_Oab__semigroup__idem__mult(T_b)
% 163.65/163.54 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.65/163.54 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.65/163.54 => 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)) ) ) ) ).
% 163.65/163.54
% 163.65/163.54 fof(fact_fold1__Un2,axiom,
% 163.65/163.54 ! [V_B_2,V_A_2,T_b] :
% 163.65/163.54 ( class_Lattices_Oab__semigroup__idem__mult(T_b)
% 163.65/163.54 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.65/163.54 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.65/163.54 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 163.65/163.54 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.65/163.54 => 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)) ) ) ) ) ) ).
% 163.65/163.54
% 163.65/163.54 fof(fact_card__Diff1__le,axiom,
% 163.65/163.54 ! [V_x_2,V_A_2,T_b] :
% 163.65/163.54 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.65/163.54 => 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))) ) ).
% 163.65/163.54
% 163.65/163.54 fof(fact_card__inj__on__le,axiom,
% 163.65/163.54 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 163.65/163.54 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 163.65/163.54 => ( 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))
% 163.65/163.54 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2))
% 163.65/163.54 => 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))) ) ) ) ).
% 163.65/163.54
% 163.65/163.54 fof(fact_inj__on__iff__card__le,axiom,
% 163.65/163.54 ! [V_B_2,T_c,V_A_2,T_b] :
% 163.65/163.54 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.65/163.54 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2))
% 163.65/163.54 => ( ? [B_f] :
% 163.65/163.54 ( c_Fun_Oinj__on(T_b,T_c,B_f,V_A_2)
% 163.65/163.54 & 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)) )
% 163.65/163.54 <=> 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))) ) ) ) ).
% 163.65/163.54
% 163.65/163.54 fof(fact_split__twice,axiom,
% 163.65/163.54 ! [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) ).
% 163.65/163.54
% 163.65/163.54 fof(fact_fold1__insert,axiom,
% 163.65/163.54 ! [V_x_2,V_A_2,T_b] :
% 163.65/163.54 ( class_Groups_Oab__semigroup__mult(T_b)
% 163.65/163.54 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.65/163.54 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.65/163.54 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 163.65/163.54 => 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)) ) ) ) ) ).
% 163.65/163.54
% 163.65/163.54 fof(fact_below__fold1__iff,axiom,
% 163.65/163.54 ! [V_x_2,V_A_2,T_b] :
% 163.65/163.54 ( class_Lattices_Osemilattice__inf(T_b)
% 163.65/163.54 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.65/163.54 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.65/163.54 => ( 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)))
% 163.65/163.54 <=> ! [B_x] :
% 163.65/163.54 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 163.65/163.54 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),B_x)) ) ) ) ) ) ).
% 163.65/163.54
% 163.65/163.54 fof(fact_fold1__belowI,axiom,
% 163.65/163.54 ! [V_a_2,V_A_2,T_b] :
% 163.65/163.54 ( class_Lattices_Osemilattice__inf(T_b)
% 163.65/163.54 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.65/163.54 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 163.65/163.54 => 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)) ) ) ) ).
% 163.65/163.54
% 163.65/163.54 fof(fact_Nitpick_Oprod__def,axiom,
% 163.65/163.54 ! [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)))) ).
% 163.65/163.54
% 163.65/163.54 fof(fact_fold1__in,axiom,
% 163.65/163.54 ! [V_A_2,T_b] :
% 163.65/163.54 ( class_Groups_Oab__semigroup__mult(T_b)
% 163.65/163.54 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.65/163.54 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.65/163.54 => ( ! [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))))))
% 163.65/163.54 => 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)) ) ) ) ) ).
% 163.65/163.54
% 163.65/163.54 fof(fact_prod_Orecs,axiom,
% 163.65/163.54 ! [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) ).
% 163.65/163.54
% 163.65/163.54 fof(fact_card__Diff__singleton__if,axiom,
% 163.65/163.54 ! [V_x_2,V_A_2,T_b] :
% 163.65/163.54 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.65/163.54 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 163.65/163.54 => 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)) )
% 163.65/163.54 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 163.65/163.54 => 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) ) ) ) ).
% 163.65/163.54
% 163.65/163.54 fof(fact_card__Diff__singleton,axiom,
% 163.65/163.54 ! [V_x_2,V_A_2,T_b] :
% 163.65/163.54 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.65/163.54 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 163.65/163.54 => 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)) ) ) ).
% 163.65/163.54
% 163.65/163.54 fof(fact_card__UNIV__unit,axiom,
% 163.65/163.54 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) ).
% 163.65/163.54
% 163.65/163.54 fof(fact_one__reorient,axiom,
% 163.65/163.54 ! [V_x_2,T_b] :
% 163.65/163.54 ( class_Groups_Oone(T_b)
% 163.65/163.54 => ( c_Groups_Oone__class_Oone(T_b) = V_x_2
% 163.65/163.54 <=> V_x_2 = c_Groups_Oone__class_Oone(T_b) ) ) ).
% 163.65/163.54
% 163.65/163.54 fof(fact_mult_Ocomm__neutral,axiom,
% 163.65/163.54 ! [V_a,T_a] :
% 163.65/163.54 ( class_Groups_Ocomm__monoid__mult(T_a)
% 163.65/163.54 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),c_Groups_Oone__class_Oone(T_a)) = V_a ) ).
% 163.65/163.54
% 163.65/163.54 fof(fact_mult__1__right,axiom,
% 163.65/163.54 ! [V_a,T_a] :
% 163.65/163.54 ( class_Groups_Omonoid__mult(T_a)
% 163.65/163.54 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),c_Groups_Oone__class_Oone(T_a)) = V_a ) ).
% 163.65/163.54
% 163.65/163.54 fof(fact_mult__1,axiom,
% 163.65/163.54 ! [V_a,T_a] :
% 163.65/163.54 ( class_Groups_Ocomm__monoid__mult(T_a)
% 163.65/163.54 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Oone__class_Oone(T_a)),V_a) = V_a ) ).
% 163.65/163.54
% 163.65/163.54 fof(fact_mult__1__left,axiom,
% 163.65/163.54 ! [V_a,T_a] :
% 163.65/163.54 ( class_Groups_Omonoid__mult(T_a)
% 163.65/163.54 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Oone__class_Oone(T_a)),V_a) = V_a ) ).
% 163.65/163.54
% 163.65/163.54 fof(fact_nat__mult__1,axiom,
% 163.65/163.54 ! [V_n] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),V_n) = V_n ).
% 163.65/163.54
% 163.65/163.54 fof(fact_nat__1__eq__mult__iff,axiom,
% 163.65/163.54 ! [V_n_2,V_m_2] :
% 163.65/163.54 ( c_Groups_Oone__class_Oone(tc_Nat_Onat) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m_2),V_n_2)
% 163.65/163.54 <=> ( V_m_2 = c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 163.65/163.54 & V_n_2 = c_Groups_Oone__class_Oone(tc_Nat_Onat) ) ) ).
% 163.65/163.54
% 163.65/163.54 fof(fact_nat__mult__1__right,axiom,
% 163.65/163.54 ! [V_n] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_n),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = V_n ).
% 163.65/163.54
% 163.65/163.54 fof(fact_nat__mult__eq__1__iff,axiom,
% 163.65/163.54 ! [V_n_2,V_m_2] :
% 163.65/163.54 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m_2),V_n_2) = c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 163.65/163.54 <=> ( V_m_2 = c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 163.65/163.54 & V_n_2 = c_Groups_Oone__class_Oone(tc_Nat_Onat) ) ) ).
% 163.65/163.54
% 163.65/163.54 fof(fact_less__1__mult,axiom,
% 163.65/163.54 ! [V_n,V_m,T_a] :
% 163.65/163.54 ( class_Rings_Olinordered__semidom(T_a)
% 163.65/163.54 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_m))
% 163.65/163.54 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_n))
% 163.65/163.54 => 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))) ) ) ) ).
% 163.65/163.54
% 163.65/163.54 fof(fact_square__eq__1__iff,axiom,
% 163.65/163.54 ! [V_x_2,T_b] :
% 163.65/163.54 ( class_Rings_Oring__1__no__zero__divisors(T_b)
% 163.65/163.54 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_x_2),V_x_2) = c_Groups_Oone__class_Oone(T_b)
% 163.65/163.54 <=> ( V_x_2 = c_Groups_Oone__class_Oone(T_b)
% 163.65/163.54 | V_x_2 = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),c_Groups_Oone__class_Oone(T_b)) ) ) ) ).
% 163.65/163.54
% 163.65/163.54 fof(fact_Sup__fin_Oidem,axiom,
% 163.65/163.54 ! [V_x,T_a] :
% 163.65/163.54 ( class_Lattices_Olattice(T_a)
% 163.65/163.54 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_x) = V_x ) ).
% 163.65/163.54
% 163.65/163.54 fof(fact_Inf__fin_Oidem,axiom,
% 163.65/163.54 ! [V_x,T_a] :
% 163.65/163.54 ( class_Lattices_Olattice(T_a)
% 163.65/163.54 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_x) = V_x ) ).
% 163.65/163.54
% 163.65/163.54 fof(fact_card__Diff__insert,axiom,
% 163.65/163.54 ! [V_B_2,V_a_2,V_A_2,T_b] :
% 163.65/163.54 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.65/163.54 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 163.65/163.54 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_B_2))
% 163.65/163.54 => 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)) ) ) ) ).
% 163.65/163.54
% 163.65/163.54 fof(fact_semilattice__big_OF__eq,axiom,
% 163.65/163.54 ! [V_A_2,V_F_2,V_f_2,T_b] :
% 163.65/163.54 ( c_Big__Operators_Osemilattice__big(T_b,V_f_2,V_F_2)
% 163.65/163.54 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.65/163.54 => hAPP(V_F_2,V_A_2) = hAPP(c_Finite__Set_Ofold1(T_b,V_f_2),V_A_2) ) ) ).
% 163.65/163.54
% 163.65/163.54 fof(fact_comm__ring__1__class_Onormalizing__ring__rules_I1_J,axiom,
% 163.65/163.54 ! [V_x,T_a] :
% 163.65/163.54 ( class_Rings_Ocomm__ring__1(T_a)
% 163.65/163.54 => 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) ) ).
% 163.65/163.54
% 163.65/163.54 fof(fact_card_Oremove,axiom,
% 163.65/163.54 ! [V_x_2,V_A_2,T_b] :
% 163.65/163.54 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.65/163.54 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 163.65/163.54 => 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)))))) ) ) ).
% 163.65/163.54
% 163.65/163.54 fof(fact_Inf__fin_Oremove,axiom,
% 163.65/163.54 ! [V_x_2,V_A_2,T_b] :
% 163.65/163.54 ( class_Lattices_Olattice(T_b)
% 163.65/163.54 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.65/163.54 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 163.65/163.54 => ( ( 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))
% 163.65/163.54 => c_Big__Operators_Olattice__class_OInf__fin(T_b,V_A_2) = V_x_2 )
% 163.65/163.54 & ( 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))
% 163.65/163.54 => 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)))))) ) ) ) ) ) ).
% 163.65/163.54
% 163.65/163.54 fof(fact_Sup__fin_Oremove,axiom,
% 163.65/163.54 ! [V_x_2,V_A_2,T_b] :
% 163.65/163.54 ( class_Lattices_Olattice(T_b)
% 163.65/163.54 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.65/163.54 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 163.65/163.54 => ( ( 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))
% 163.65/163.54 => c_Big__Operators_Olattice__class_OSup__fin(T_b,V_A_2) = V_x_2 )
% 163.65/163.54 & ( 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))
% 163.65/163.54 => 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)))))) ) ) ) ) ) ).
% 163.65/163.54
% 163.65/163.54 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I11_J,axiom,
% 163.65/163.54 ! [V_a,T_a] :
% 163.65/163.54 ( class_Rings_Ocomm__semiring__1(T_a)
% 163.65/163.54 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Oone__class_Oone(T_a)),V_a) = V_a ) ).
% 163.65/163.54
% 163.65/163.54 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I12_J,axiom,
% 163.65/163.54 ! [V_a,T_a] :
% 163.65/163.54 ( class_Rings_Ocomm__semiring__1(T_a)
% 163.65/163.54 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),c_Groups_Oone__class_Oone(T_a)) = V_a ) ).
% 163.65/163.54
% 163.65/163.54 fof(fact_inj__on__add__nat,axiom,
% 163.65/163.54 ! [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) ).
% 163.65/163.54
% 163.65/163.54 fof(fact_crossproduct__eq,axiom,
% 163.65/163.54 ! [V_z_2,V_x_2,V_y_2,V_w_2,T_b] :
% 163.65/163.54 ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(T_b)
% 163.65/163.54 => ( 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))
% 163.65/163.54 <=> ( V_w_2 = V_x_2
% 163.65/163.54 | V_y_2 = V_z_2 ) ) ) ).
% 163.65/163.54
% 163.65/163.54 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I1_J,axiom,
% 163.65/163.54 ! [V_b,V_m,V_a,T_a] :
% 163.65/163.54 ( class_Rings_Ocomm__semiring__1(T_a)
% 163.65/163.54 => 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) ) ).
% 163.65/163.54
% 163.65/163.54 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I8_J,axiom,
% 163.65/163.54 ! [V_c,V_b,V_a,T_a] :
% 163.65/163.54 ( class_Rings_Ocomm__semiring__1(T_a)
% 163.65/163.54 => 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)) ) ).
% 163.65/163.54
% 163.65/163.54 fof(fact_crossproduct__noteq,axiom,
% 163.65/163.54 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] :
% 163.65/163.54 ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(T_b)
% 163.65/163.54 => ( ( V_a_2 != V_b_2
% 163.65/163.54 & V_c_2 != V_d_2 )
% 163.65/163.54 <=> 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)) ) ) ).
% 163.65/163.54
% 163.65/163.54 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I34_J,axiom,
% 163.65/163.54 ! [V_z,V_y,V_x,T_a] :
% 163.65/163.54 ( class_Rings_Ocomm__semiring__1(T_a)
% 163.65/163.54 => 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)) ) ).
% 163.65/163.54
% 163.65/163.54 fof(fact_ab__semigroup__add__class_Oadd__ac_I1_J,axiom,
% 163.65/163.54 ! [V_c,V_b,V_a,T_a] :
% 163.65/163.54 ( class_Groups_Oab__semigroup__add(T_a)
% 163.65/163.54 => 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)) ) ).
% 163.65/163.54
% 163.65/163.54 fof(fact_add__left__cancel,axiom,
% 163.65/163.54 ! [V_c_2,V_b_2,V_a_2,T_b] :
% 163.65/163.54 ( class_Groups_Ocancel__semigroup__add(T_b)
% 163.65/163.54 => ( 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)
% 163.65/163.54 <=> V_b_2 = V_c_2 ) ) ).
% 163.65/163.54
% 163.65/163.54 fof(fact_add__right__cancel,axiom,
% 163.65/163.54 ! [V_c_2,V_a_2,V_b_2,T_b] :
% 163.65/163.54 ( class_Groups_Ocancel__semigroup__add(T_b)
% 163.65/163.54 => ( 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)
% 163.65/163.54 <=> V_b_2 = V_c_2 ) ) ).
% 163.65/163.54
% 163.65/163.54 fof(fact_add__left__imp__eq,axiom,
% 163.65/163.54 ! [V_c,V_b,V_a,T_a] :
% 163.65/163.54 ( class_Groups_Ocancel__semigroup__add(T_a)
% 163.65/163.54 => ( 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)
% 163.65/163.54 => V_b = V_c ) ) ).
% 163.65/163.54
% 163.65/163.54 fof(fact_add__imp__eq,axiom,
% 163.65/163.54 ! [V_c,V_b,V_a,T_a] :
% 163.65/163.54 ( class_Groups_Ocancel__ab__semigroup__add(T_a)
% 163.65/163.54 => ( 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)
% 163.65/163.54 => V_b = V_c ) ) ).
% 163.65/163.54
% 163.65/163.54 fof(fact_add__right__imp__eq,axiom,
% 163.65/163.54 ! [V_c,V_a,V_b,T_a] :
% 163.65/163.54 ( class_Groups_Ocancel__semigroup__add(T_a)
% 163.65/163.54 => ( 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)
% 163.65/163.54 => V_b = V_c ) ) ).
% 163.65/163.54
% 163.65/163.54 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I20_J,axiom,
% 163.65/163.54 ! [V_d,V_c,V_b,V_a,T_a] :
% 163.65/163.54 ( class_Rings_Ocomm__semiring__1(T_a)
% 163.65/163.54 => 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)) ) ).
% 163.65/163.54
% 163.65/163.54 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I23_J,axiom,
% 163.65/163.54 ! [V_c,V_b,V_a,T_a] :
% 163.65/163.54 ( class_Rings_Ocomm__semiring__1(T_a)
% 163.65/163.54 => 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) ) ).
% 163.65/163.54
% 163.65/163.54 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I21_J,axiom,
% 163.65/163.54 ! [V_c,V_b,V_a,T_a] :
% 163.65/163.54 ( class_Rings_Ocomm__semiring__1(T_a)
% 163.65/163.54 => 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)) ) ).
% 163.65/163.54
% 163.65/163.54 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I25_J,axiom,
% 163.65/163.54 ! [V_d,V_c,V_a,T_a] :
% 163.65/163.54 ( class_Rings_Ocomm__semiring__1(T_a)
% 163.65/163.54 => 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) ) ).
% 163.65/163.54
% 163.65/163.54 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I22_J,axiom,
% 163.65/163.54 ! [V_d,V_c,V_a,T_a] :
% 163.65/163.54 ( class_Rings_Ocomm__semiring__1(T_a)
% 163.65/163.54 => 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)) ) ).
% 163.65/163.54
% 163.65/163.54 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I24_J,axiom,
% 163.65/163.54 ! [V_c,V_a,T_a] :
% 163.65/163.54 ( class_Rings_Ocomm__semiring__1(T_a)
% 163.65/163.54 => 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) ) ).
% 163.65/163.54
% 163.65/163.54 fof(fact_nat__add__commute,axiom,
% 163.65/163.54 ! [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) ).
% 163.65/163.54
% 163.65/163.54 fof(fact_nat__add__left__commute,axiom,
% 163.65/163.54 ! [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)) ).
% 163.65/163.54
% 163.65/163.54 fof(fact_nat__add__assoc,axiom,
% 163.65/163.54 ! [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)) ).
% 163.65/163.54
% 163.65/163.54 fof(fact_nat__add__left__cancel,axiom,
% 163.65/163.54 ! [V_n_2,V_m_2,V_k_2] :
% 163.65/163.54 ( 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)
% 163.65/163.54 <=> V_m_2 = V_n_2 ) ).
% 163.65/163.54
% 163.65/163.54 fof(fact_nat__add__right__cancel,axiom,
% 163.65/163.54 ! [V_n_2,V_k_2,V_m_2] :
% 163.65/163.54 ( 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)
% 163.65/163.54 <=> V_m_2 = V_n_2 ) ).
% 163.65/163.54
% 163.65/163.54 fof(fact_add__le__imp__le__left,axiom,
% 163.65/163.54 ! [V_b,V_a,V_c,T_a] :
% 163.65/163.54 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a)
% 163.65/163.54 => ( 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)))
% 163.65/163.54 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) ) ) ).
% 163.65/163.54
% 163.65/163.54 fof(fact_add__le__imp__le__right,axiom,
% 163.65/163.54 ! [V_b,V_c,V_a,T_a] :
% 163.65/163.54 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a)
% 163.65/163.54 => ( 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)))
% 163.65/163.54 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) ) ) ).
% 163.65/163.54
% 163.65/163.54 fof(fact_add__mono,axiom,
% 163.65/163.54 ! [V_d,V_c,V_b,V_a,T_a] :
% 163.65/163.54 ( class_Groups_Oordered__ab__semigroup__add(T_a)
% 163.65/163.54 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 163.65/163.54 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_d))
% 163.65/163.54 => 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))) ) ) ) ).
% 163.65/163.54
% 163.65/163.54 fof(fact_add__left__mono,axiom,
% 163.65/163.54 ! [V_c,V_b,V_a,T_a] :
% 163.65/163.54 ( class_Groups_Oordered__ab__semigroup__add(T_a)
% 163.65/163.54 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 163.65/163.54 => 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))) ) ) ).
% 163.65/163.54
% 163.65/163.54 fof(fact_add__right__mono,axiom,
% 163.65/163.54 ! [V_c,V_b,V_a,T_a] :
% 163.65/163.54 ( class_Groups_Oordered__ab__semigroup__add(T_a)
% 163.65/163.54 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 163.65/163.54 => 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))) ) ) ).
% 163.65/163.54
% 163.65/163.54 fof(fact_add__le__cancel__left,axiom,
% 163.65/163.54 ! [V_b_2,V_a_2,V_c_2,T_b] :
% 163.65/163.54 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_b)
% 163.65/163.54 => ( 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)))
% 163.65/163.54 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2)) ) ) ).
% 163.65/163.54
% 163.65/163.54 fof(fact_add__le__cancel__right,axiom,
% 163.65/163.54 ! [V_b_2,V_c_2,V_a_2,T_b] :
% 163.65/163.54 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_b)
% 163.65/163.54 => ( 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)))
% 163.65/163.54 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2)) ) ) ).
% 163.65/163.54
% 163.65/163.54 fof(fact_add__less__imp__less__left,axiom,
% 163.65/163.54 ! [V_b,V_a,V_c,T_a] :
% 163.65/163.54 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a)
% 163.65/163.54 => ( 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)))
% 163.65/163.54 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ).
% 163.65/163.54
% 163.65/163.54 fof(fact_add__less__imp__less__right,axiom,
% 163.65/163.54 ! [V_b,V_c,V_a,T_a] :
% 163.65/163.54 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a)
% 163.65/163.54 => ( 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)))
% 163.65/163.54 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ).
% 163.65/163.54
% 163.65/163.54 fof(fact_add__strict__mono,axiom,
% 163.65/163.54 ! [V_d,V_c,V_b,V_a,T_a] :
% 163.65/163.54 ( class_Groups_Oordered__cancel__ab__semigroup__add(T_a)
% 163.65/163.54 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 163.65/163.54 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_d))
% 163.65/163.54 => 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))) ) ) ) ).
% 163.65/163.54
% 163.65/163.54 fof(fact_add__strict__left__mono,axiom,
% 163.65/163.54 ! [V_c,V_b,V_a,T_a] :
% 163.65/163.54 ( class_Groups_Oordered__cancel__ab__semigroup__add(T_a)
% 163.65/163.54 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 163.65/163.54 => 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))) ) ) ).
% 163.65/163.54
% 163.65/163.54 fof(fact_add__strict__right__mono,axiom,
% 163.65/163.54 ! [V_c,V_b,V_a,T_a] :
% 163.65/163.54 ( class_Groups_Oordered__cancel__ab__semigroup__add(T_a)
% 163.65/163.54 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 163.65/163.54 => 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))) ) ) ).
% 163.65/163.54
% 163.65/163.54 fof(fact_add__less__cancel__left,axiom,
% 163.65/163.54 ! [V_b_2,V_a_2,V_c_2,T_b] :
% 163.65/163.54 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_b)
% 163.65/163.54 => ( 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)))
% 163.65/163.54 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2)) ) ) ).
% 163.65/163.54
% 163.65/163.54 fof(fact_add__less__cancel__right,axiom,
% 163.65/163.55 ! [V_b_2,V_c_2,V_a_2,T_b] :
% 163.65/163.55 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_b)
% 163.65/163.55 => ( 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)))
% 163.65/163.55 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2)) ) ) ).
% 163.65/163.55
% 163.65/163.55 fof(fact_combine__common__factor,axiom,
% 163.65/163.55 ! [V_c,V_b,V_e,V_a,T_a] :
% 163.65/163.55 ( class_Rings_Osemiring(T_a)
% 163.65/163.55 => 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) ) ).
% 163.65/163.55
% 163.65/163.55 fof(fact_comm__semiring__class_Odistrib,axiom,
% 163.65/163.55 ! [V_c,V_b,V_a,T_a] :
% 163.65/163.55 ( class_Rings_Ocomm__semiring(T_a)
% 163.65/163.55 => 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)) ) ).
% 163.65/163.55
% 163.65/163.55 fof(fact_add__diff__cancel,axiom,
% 163.65/163.55 ! [V_b,V_a,T_a] :
% 163.65/163.55 ( class_Groups_Ogroup__add(T_a)
% 163.65/163.55 => 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 ) ).
% 163.65/163.55
% 163.65/163.55 fof(fact_diff__add__cancel,axiom,
% 163.65/163.55 ! [V_b,V_a,T_a] :
% 163.65/163.55 ( class_Groups_Ogroup__add(T_a)
% 163.65/163.55 => 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 ) ).
% 163.65/163.55
% 163.65/163.55 fof(fact_minus__add__distrib,axiom,
% 163.65/163.55 ! [V_b,V_a,T_a] :
% 163.65/163.55 ( class_Groups_Oab__group__add(T_a)
% 163.65/163.55 => 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)) ) ).
% 163.65/163.55
% 163.65/163.55 fof(fact_minus__add,axiom,
% 163.65/163.55 ! [V_b,V_a,T_a] :
% 163.65/163.55 ( class_Groups_Ogroup__add(T_a)
% 163.65/163.55 => 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)) ) ).
% 163.65/163.55
% 163.65/163.55 fof(fact_add__minus__cancel,axiom,
% 163.65/163.55 ! [V_b,V_a,T_a] :
% 163.65/163.55 ( class_Groups_Ogroup__add(T_a)
% 163.65/163.55 => 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 ) ).
% 163.65/163.55
% 163.65/163.55 fof(fact_minus__add__cancel,axiom,
% 163.65/163.55 ! [V_b,V_a,T_a] :
% 163.65/163.55 ( class_Groups_Ogroup__add(T_a)
% 163.65/163.55 => 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 ) ).
% 163.65/163.55
% 163.65/163.55 fof(fact_not__add__less1,axiom,
% 163.65/163.55 ! [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)) ).
% 163.65/163.55
% 163.65/163.55 fof(fact_not__add__less2,axiom,
% 163.65/163.55 ! [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)) ).
% 163.65/163.55
% 163.65/163.55 fof(fact_nat__add__left__cancel__less,axiom,
% 163.65/163.55 ! [V_n_2,V_m_2,V_k_2] :
% 163.65/163.55 ( 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)))
% 163.65/163.55 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ).
% 163.65/163.55
% 163.65/163.55 fof(fact_trans__less__add1,axiom,
% 163.65/163.55 ! [V_m,V_j,V_i] :
% 163.65/163.55 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 163.65/163.55 => 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))) ) ).
% 163.65/163.55
% 163.65/163.55 fof(fact_trans__less__add2,axiom,
% 163.65/163.55 ! [V_m,V_j,V_i] :
% 163.65/163.55 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 163.65/163.55 => 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))) ) ).
% 163.65/163.55
% 163.65/163.55 fof(fact_add__less__mono1,axiom,
% 163.65/163.55 ! [V_k,V_j,V_i] :
% 163.65/163.55 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 163.65/163.55 => 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))) ) ).
% 163.65/163.55
% 163.65/163.55 fof(fact_add__less__mono,axiom,
% 163.65/163.55 ! [V_l,V_k,V_j,V_i] :
% 163.65/163.55 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 163.65/163.55 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_k),V_l))
% 163.65/163.55 => 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))) ) ) ).
% 163.65/163.55
% 163.65/163.55 fof(fact_less__add__eq__less,axiom,
% 163.65/163.55 ! [V_n,V_m,V_l,V_k] :
% 163.65/163.55 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_k),V_l))
% 163.65/163.55 => ( 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)
% 163.65/163.55 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ) ).
% 163.65/163.55
% 163.65/163.55 fof(fact_add__lessD1,axiom,
% 163.65/163.55 ! [V_k,V_j,V_i] :
% 163.65/163.55 ( 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))
% 163.65/163.55 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_k)) ) ).
% 163.65/163.55
% 163.65/163.55 fof(fact_termination__basic__simps_I2_J,axiom,
% 163.65/163.55 ! [V_y,V_z,V_x] :
% 163.65/163.55 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x),V_z))
% 163.65/163.55 => 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))) ) ).
% 163.65/163.55
% 163.65/163.55 fof(fact_termination__basic__simps_I1_J,axiom,
% 163.65/163.55 ! [V_z,V_y,V_x] :
% 163.65/163.55 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x),V_y))
% 163.65/163.55 => 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))) ) ).
% 163.65/163.55
% 163.65/163.55 fof(fact_add__leE,axiom,
% 163.65/163.55 ! [V_n,V_k,V_m] :
% 163.65/163.55 ( 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))
% 163.65/163.55 => ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 163.65/163.55 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_n)) ) ) ).
% 163.65/163.55
% 163.65/163.55 fof(fact_add__leD1,axiom,
% 163.65/163.55 ! [V_n,V_k,V_m] :
% 163.65/163.55 ( 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))
% 163.65/163.55 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) ) ).
% 163.65/163.55
% 163.65/163.55 fof(fact_add__leD2,axiom,
% 163.65/163.55 ! [V_n,V_k,V_m] :
% 163.65/163.55 ( 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))
% 163.65/163.55 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_n)) ) ).
% 163.65/163.55
% 163.65/163.55 fof(fact_add__le__mono,axiom,
% 163.65/163.55 ! [V_l,V_k,V_j,V_i] :
% 163.65/163.55 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 163.65/163.55 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_l))
% 163.65/163.55 => 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))) ) ) ).
% 163.65/163.55
% 163.65/163.55 fof(fact_add__le__mono1,axiom,
% 163.65/163.55 ! [V_k,V_j,V_i] :
% 163.65/163.55 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 163.65/163.55 => 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))) ) ).
% 163.65/163.55
% 163.65/163.55 fof(fact_trans__le__add2,axiom,
% 163.65/163.55 ! [V_m,V_j,V_i] :
% 163.65/163.55 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 163.65/163.55 => 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))) ) ).
% 163.65/163.55
% 163.65/163.55 fof(fact_trans__le__add1,axiom,
% 163.65/163.55 ! [V_m,V_j,V_i] :
% 163.65/163.55 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 163.65/163.55 => 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))) ) ).
% 163.65/163.55
% 163.65/163.55 fof(fact_nat__add__left__cancel__le,axiom,
% 163.65/163.55 ! [V_n_2,V_m_2,V_k_2] :
% 163.65/163.55 ( 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)))
% 163.65/163.55 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ).
% 163.65/163.55
% 163.65/163.55 fof(fact_le__iff__add,axiom,
% 163.65/163.55 ! [V_n_2,V_m_2] :
% 163.65/163.55 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2))
% 163.65/163.55 <=> ? [B_k] : V_n_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),B_k) ) ).
% 163.65/163.55
% 163.65/163.55 fof(fact_le__add1,axiom,
% 163.65/163.55 ! [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))) ).
% 163.65/163.55
% 163.65/163.55 fof(fact_le__add2,axiom,
% 163.65/163.55 ! [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))) ).
% 163.65/163.55
% 163.65/163.55 fof(fact_termination__basic__simps_I4_J,axiom,
% 163.65/163.55 ! [V_y,V_z,V_x] :
% 163.65/163.55 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_x),V_z))
% 163.65/163.55 => 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))) ) ).
% 163.65/163.55
% 163.65/163.55 fof(fact_termination__basic__simps_I3_J,axiom,
% 163.65/163.55 ! [V_z,V_y,V_x] :
% 163.65/163.55 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_x),V_y))
% 163.65/163.55 => 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))) ) ).
% 163.65/163.55
% 163.65/163.55 fof(fact_diff__cancel2,axiom,
% 163.65/163.55 ! [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) ).
% 163.65/163.55
% 163.65/163.55 fof(fact_diff__cancel,axiom,
% 163.65/163.55 ! [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) ).
% 163.65/163.55
% 163.65/163.55 fof(fact_diff__diff__left,axiom,
% 163.65/163.55 ! [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)) ).
% 163.65/163.55
% 163.65/163.55 fof(fact_diff__add__inverse,axiom,
% 163.65/163.55 ! [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 ).
% 163.65/163.55
% 163.65/163.55 fof(fact_diff__add__inverse2,axiom,
% 163.65/163.55 ! [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 ).
% 163.65/163.55
% 163.65/163.55 fof(fact_add__mult__distrib,axiom,
% 163.65/163.55 ! [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)) ).
% 163.65/163.55
% 163.65/163.55 fof(fact_add__mult__distrib2,axiom,
% 163.65/163.55 ! [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)) ).
% 163.65/163.55
% 163.65/163.55 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I2_J,axiom,
% 163.65/163.55 ! [V_m,V_a,T_a] :
% 163.65/163.55 ( class_Rings_Ocomm__semiring__1(T_a)
% 163.65/163.55 => 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) ) ).
% 163.65/163.55
% 163.65/163.55 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I3_J,axiom,
% 163.65/163.55 ! [V_a,V_m,T_a] :
% 163.65/163.55 ( class_Rings_Ocomm__semiring__1(T_a)
% 163.65/163.55 => 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) ) ).
% 163.65/163.55
% 163.65/163.55 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I4_J,axiom,
% 163.65/163.55 ! [V_m,T_a] :
% 163.65/163.55 ( class_Rings_Ocomm__semiring__1(T_a)
% 163.65/163.55 => 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) ) ).
% 163.65/163.55
% 163.65/163.55 fof(fact_comm__ring__1__class_Onormalizing__ring__rules_I2_J,axiom,
% 163.65/163.55 ! [V_y,V_x,T_a] :
% 163.65/163.55 ( class_Rings_Ocomm__ring__1(T_a)
% 163.65/163.55 => 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)) ) ).
% 163.65/163.55
% 163.65/163.55 fof(fact_Inf__le__Sup,axiom,
% 163.65/163.55 ! [V_A_2,T_b] :
% 163.65/163.55 ( class_Lattices_Olattice(T_b)
% 163.65/163.55 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.65/163.55 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.65/163.55 => 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))) ) ) ) ).
% 163.65/163.55
% 163.65/163.55 fof(fact_add__le__less__mono,axiom,
% 163.65/163.55 ! [V_d,V_c,V_b,V_a,T_a] :
% 163.65/163.55 ( class_Groups_Oordered__cancel__ab__semigroup__add(T_a)
% 163.65/163.55 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 163.65/163.55 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_d))
% 163.65/163.55 => 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))) ) ) ) ).
% 163.65/163.55
% 163.65/163.55 fof(fact_add__less__le__mono,axiom,
% 163.65/163.55 ! [V_d,V_c,V_b,V_a,T_a] :
% 163.65/163.55 ( class_Groups_Oordered__cancel__ab__semigroup__add(T_a)
% 163.65/163.55 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 163.65/163.55 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_d))
% 163.65/163.55 => 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))) ) ) ) ).
% 163.65/163.55
% 163.65/163.55 fof(fact_less__add__one,axiom,
% 163.65/163.55 ! [V_a,T_a] :
% 163.65/163.55 ( class_Rings_Olinordered__semidom(T_a)
% 163.65/163.55 => 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)))) ) ).
% 163.65/163.55
% 163.65/163.55 fof(fact_eq__add__iff1,axiom,
% 163.65/163.55 ! [V_d_2,V_b_2,V_c_2,V_e_2,V_a_2,T_b] :
% 163.65/163.55 ( class_Rings_Oring(T_b)
% 163.65/163.55 => ( 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)
% 163.65/163.55 <=> 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 ) ) ).
% 163.65/163.55
% 163.65/163.55 fof(fact_eq__add__iff2,axiom,
% 163.65/163.55 ! [V_d_2,V_b_2,V_c_2,V_e_2,V_a_2,T_b] :
% 163.65/163.55 ( class_Rings_Oring(T_b)
% 163.65/163.55 => ( 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)
% 163.65/163.55 <=> 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) ) ) ).
% 163.65/163.55
% 163.65/163.55 fof(fact_diff__def,axiom,
% 163.65/163.55 ! [V_b,V_a,T_a] :
% 163.65/163.55 ( class_Groups_Ogroup__add(T_a)
% 163.65/163.55 => 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)) ) ).
% 163.65/163.55
% 163.65/163.55 fof(fact_ab__diff__minus,axiom,
% 163.65/163.55 ! [V_b,V_a,T_a] :
% 163.65/163.55 ( class_Groups_Oab__group__add(T_a)
% 163.65/163.55 => 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)) ) ).
% 163.65/163.55
% 163.65/163.55 fof(fact_diff__minus__eq__add,axiom,
% 163.65/163.55 ! [V_b,V_a,T_a] :
% 163.65/163.55 ( class_Groups_Ogroup__add(T_a)
% 163.65/163.55 => 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) ) ).
% 163.65/163.55
% 163.65/163.55 fof(fact_add__diff__inverse,axiom,
% 163.65/163.55 ! [V_n,V_m] :
% 163.65/163.55 ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 163.65/163.55 => 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 ) ).
% 163.65/163.55
% 163.65/163.55 fof(fact_less__diff__conv,axiom,
% 163.65/163.55 ! [V_k_2,V_j_2,V_i_2] :
% 163.65/163.55 ( 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)))
% 163.65/163.55 <=> 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)) ) ).
% 163.65/163.55
% 163.65/163.55 fof(fact_diff__add__assoc2,axiom,
% 163.65/163.55 ! [V_i,V_j,V_k] :
% 163.65/163.55 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_j))
% 163.65/163.55 => 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) ) ).
% 163.65/163.55
% 163.65/163.55 fof(fact_add__diff__assoc2,axiom,
% 163.65/163.55 ! [V_i,V_j,V_k] :
% 163.65/163.55 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_j))
% 163.65/163.55 => 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) ) ).
% 163.65/163.55
% 163.65/163.55 fof(fact_diff__add__assoc,axiom,
% 163.65/163.55 ! [V_i,V_j,V_k] :
% 163.65/163.55 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_j))
% 163.65/163.55 => 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)) ) ).
% 163.65/163.55
% 163.65/163.55 fof(fact_le__imp__diff__is__add,axiom,
% 163.65/163.55 ! [V_k_2,V_j_2,V_i_2] :
% 163.65/163.55 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i_2),V_j_2))
% 163.65/163.55 => ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_j_2),V_i_2) = V_k_2
% 163.65/163.55 <=> V_j_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_k_2),V_i_2) ) ) ).
% 163.65/163.55
% 163.65/163.55 fof(fact_le__add__diff__inverse2,axiom,
% 163.65/163.55 ! [V_m,V_n] :
% 163.65/163.55 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m))
% 163.65/163.55 => 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 ) ).
% 163.65/163.55
% 163.65/163.55 fof(fact_le__diff__conv2,axiom,
% 163.65/163.55 ! [V_i_2,V_j_2,V_k_2] :
% 163.65/163.55 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),V_j_2))
% 163.65/163.55 => ( 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)))
% 163.65/163.55 <=> 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)) ) ) ).
% 163.65/163.55
% 163.65/163.55 fof(fact_add__diff__assoc,axiom,
% 163.65/163.55 ! [V_i,V_j,V_k] :
% 163.65/163.55 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_j))
% 163.65/163.55 => 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) ) ).
% 163.65/163.55
% 163.65/163.55 fof(fact_le__add__diff__inverse,axiom,
% 163.65/163.55 ! [V_m,V_n] :
% 163.65/163.55 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m))
% 163.65/163.55 => 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 ) ).
% 163.65/163.55
% 163.65/163.55 fof(fact_le__add__diff,axiom,
% 163.65/163.55 ! [V_m,V_n,V_k] :
% 163.65/163.55 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_n))
% 163.65/163.55 => 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))) ) ).
% 163.65/163.55
% 163.65/163.55 fof(fact_le__diff__conv,axiom,
% 163.65/163.55 ! [V_i_2,V_k_2,V_j_2] :
% 163.65/163.55 ( 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))
% 163.65/163.55 <=> 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))) ) ).
% 163.65/163.55
% 163.65/163.55 fof(fact_diff__diff__right,axiom,
% 163.65/163.55 ! [V_i,V_j,V_k] :
% 163.65/163.55 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_j))
% 163.65/163.55 => 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) ) ).
% 163.65/163.55
% 163.65/163.55 fof(fact_Inf__fin_Osingleton,axiom,
% 163.65/163.55 ! [V_x_2,T_b] :
% 163.65/163.55 ( class_Lattices_Olattice(T_b)
% 163.65/163.55 => 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 ) ).
% 163.65/163.55
% 163.65/163.55 fof(fact_Sup__fin_Osingleton,axiom,
% 163.65/163.55 ! [V_x_2,T_b] :
% 163.65/163.55 ( class_Lattices_Olattice(T_b)
% 163.65/163.55 => 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 ) ).
% 163.65/163.55
% 163.65/163.55 fof(fact_le__add__iff1,axiom,
% 163.65/163.55 ! [V_d_2,V_b_2,V_c_2,V_e_2,V_a_2,T_b] :
% 163.65/163.55 ( class_Rings_Oordered__ring(T_b)
% 163.65/163.55 => ( 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)))
% 163.65/163.55 <=> 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)) ) ) ).
% 163.65/163.55
% 163.65/163.55 fof(fact_le__add__iff2,axiom,
% 163.65/163.55 ! [V_d_2,V_b_2,V_c_2,V_e_2,V_a_2,T_b] :
% 163.65/163.55 ( class_Rings_Oordered__ring(T_b)
% 163.65/163.55 => ( 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)))
% 163.65/163.55 <=> 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))) ) ) ).
% 163.65/163.55
% 163.65/163.55 fof(fact_less__add__iff2,axiom,
% 163.65/163.55 ! [V_d_2,V_b_2,V_c_2,V_e_2,V_a_2,T_b] :
% 163.65/163.55 ( class_Rings_Oordered__ring(T_b)
% 163.65/163.55 => ( 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)))
% 163.65/163.55 <=> 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))) ) ) ).
% 163.65/163.55
% 163.65/163.55 fof(fact_less__add__iff1,axiom,
% 163.65/163.55 ! [V_d_2,V_b_2,V_c_2,V_e_2,V_a_2,T_b] :
% 163.65/163.55 ( class_Rings_Oordered__ring(T_b)
% 163.65/163.55 => ( 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)))
% 163.65/163.55 <=> 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)) ) ) ).
% 163.65/163.55
% 163.65/163.55 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I13_J,axiom,
% 163.65/163.55 ! [V_ry,V_rx,V_ly,V_lx,T_a] :
% 163.65/163.55 ( class_Rings_Ocomm__semiring__1(T_a)
% 163.65/163.55 => 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)) ) ).
% 163.65/163.55
% 163.65/163.55 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I15_J,axiom,
% 163.65/163.55 ! [V_ry,V_rx,V_ly,V_lx,T_a] :
% 163.65/163.55 ( class_Rings_Ocomm__semiring__1(T_a)
% 163.65/163.55 => 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)) ) ).
% 163.65/163.55
% 163.65/163.55 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I14_J,axiom,
% 163.65/163.55 ! [V_ry,V_rx,V_ly,V_lx,T_a] :
% 163.65/163.55 ( class_Rings_Ocomm__semiring__1(T_a)
% 163.65/163.55 => 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))) ) ).
% 163.65/163.55
% 163.65/163.55 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I16_J,axiom,
% 163.65/163.55 ! [V_rx,V_ly,V_lx,T_a] :
% 163.65/163.55 ( class_Rings_Ocomm__semiring__1(T_a)
% 163.65/163.55 => 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) ) ).
% 163.65/163.55
% 163.65/163.55 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I17_J,axiom,
% 163.65/163.55 ! [V_rx,V_ly,V_lx,T_a] :
% 163.65/163.55 ( class_Rings_Ocomm__semiring__1(T_a)
% 163.65/163.55 => 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)) ) ).
% 163.65/163.55
% 163.65/163.55 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I18_J,axiom,
% 163.65/163.55 ! [V_ry,V_rx,V_lx,T_a] :
% 163.65/163.55 ( class_Rings_Ocomm__semiring__1(T_a)
% 163.65/163.55 => 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) ) ).
% 163.65/163.55
% 163.65/163.55 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I19_J,axiom,
% 163.65/163.55 ! [V_ry,V_rx,V_lx,T_a] :
% 163.65/163.55 ( class_Rings_Ocomm__semiring__1(T_a)
% 163.65/163.55 => 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)) ) ).
% 163.65/163.55
% 163.65/163.55 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I7_J,axiom,
% 163.65/163.55 ! [V_b,V_a,T_a] :
% 163.65/163.55 ( class_Rings_Ocomm__semiring__1(T_a)
% 163.65/163.55 => 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) ) ).
% 163.65/163.55
% 163.65/163.55 fof(fact_sup__Inf__absorb,axiom,
% 163.65/163.55 ! [V_a_2,V_A_2,T_b] :
% 163.65/163.55 ( class_Lattices_Olattice(T_b)
% 163.65/163.55 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.65/163.55 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 163.65/163.55 => 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 ) ) ) ).
% 163.65/163.55
% 163.65/163.55 fof(fact_Sup__fin_Oin__idem,axiom,
% 163.65/163.55 ! [V_x_2,V_A_2,T_b] :
% 163.65/163.55 ( class_Lattices_Olattice(T_b)
% 163.65/163.55 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.65/163.55 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 163.65/163.55 => 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) ) ) ) ).
% 163.65/163.55
% 163.65/163.55 fof(fact_Inf__fin_Oin__idem,axiom,
% 163.65/163.55 ! [V_x_2,V_A_2,T_b] :
% 163.65/163.55 ( class_Lattices_Olattice(T_b)
% 163.65/163.55 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.65/163.55 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 163.65/163.55 => 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) ) ) ) ).
% 163.65/163.55
% 163.65/163.55 fof(fact_inf__Sup__absorb,axiom,
% 163.65/163.55 ! [V_a_2,V_A_2,T_b] :
% 163.65/163.55 ( class_Lattices_Olattice(T_b)
% 163.65/163.55 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.65/163.55 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 163.65/163.55 => 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 ) ) ) ).
% 163.65/163.55
% 163.65/163.55 fof(fact_Sup__fin__Sup,axiom,
% 163.65/163.55 ! [V_A_2,T_b] :
% 163.65/163.55 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 163.65/163.55 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.65/163.55 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.65/163.55 => c_Big__Operators_Olattice__class_OSup__fin(T_b,V_A_2) = c_Complete__Lattice_OSup__class_OSup(T_b,V_A_2) ) ) ) ).
% 163.65/163.55
% 163.65/163.55 fof(fact_Inf__fin__Inf,axiom,
% 163.65/163.55 ! [V_A_2,T_b] :
% 163.65/163.55 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 163.65/163.55 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.65/163.55 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.65/163.55 => c_Big__Operators_Olattice__class_OInf__fin(T_b,V_A_2) = c_Complete__Lattice_OInf__class_OInf(T_b,V_A_2) ) ) ) ).
% 163.65/163.55
% 163.65/163.55 fof(fact_Sup__fin_OF__eq,axiom,
% 163.65/163.55 ! [V_A_2,T_b] :
% 163.65/163.55 ( class_Lattices_Olattice(T_b)
% 163.65/163.55 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.65/163.55 => 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) ) ) ).
% 163.65/163.55
% 163.65/163.55 fof(fact_Inf__fin_OF__eq,axiom,
% 163.65/163.55 ! [V_A_2,T_b] :
% 163.65/163.55 ( class_Lattices_Olattice(T_b)
% 163.65/163.55 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.65/163.55 => 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) ) ) ).
% 163.65/163.55
% 163.65/163.55 fof(fact_card__Un__Int,axiom,
% 163.65/163.55 ! [V_B_2,V_A_2,T_b] :
% 163.65/163.55 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.65/163.55 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 163.65/163.55 => 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))) ) ) ).
% 163.65/163.55
% 163.65/163.55 fof(fact_card_Ounion__inter,axiom,
% 163.65/163.55 ! [V_B_2,V_A_2,T_b] :
% 163.65/163.55 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.65/163.55 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 163.65/163.55 => 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)) ) ) ).
% 163.65/163.55
% 163.65/163.55 fof(fact_Sup__fin_Oinsert__idem,axiom,
% 163.65/163.55 ! [V_x_2,V_A_2,T_b] :
% 163.65/163.55 ( class_Lattices_Olattice(T_b)
% 163.65/163.55 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.65/163.55 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.65/163.55 => 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)) ) ) ) ).
% 163.65/163.55
% 163.65/163.55 fof(fact_Inf__fin_Oinsert__idem,axiom,
% 163.65/163.55 ! [V_x_2,V_A_2,T_b] :
% 163.65/163.55 ( class_Lattices_Olattice(T_b)
% 163.65/163.55 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.65/163.55 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.65/163.55 => 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)) ) ) ) ).
% 163.65/163.55
% 163.65/163.55 fof(fact_Sup__fin_Osubset__idem,axiom,
% 163.65/163.55 ! [V_B_2,V_A_2,T_b] :
% 163.65/163.55 ( class_Lattices_Olattice(T_b)
% 163.65/163.55 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.65/163.55 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.65/163.55 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 163.65/163.55 => 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) ) ) ) ) ).
% 163.65/163.55
% 163.65/163.55 fof(fact_Inf__fin_Osubset__idem,axiom,
% 163.65/163.55 ! [V_B_2,V_A_2,T_b] :
% 163.65/163.55 ( class_Lattices_Olattice(T_b)
% 163.65/163.55 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.65/163.55 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.65/163.55 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 163.65/163.55 => 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) ) ) ) ) ).
% 163.65/163.55
% 163.65/163.55 fof(fact_Sup__fin_Ounion__idem,axiom,
% 163.65/163.55 ! [V_B_2,V_A_2,T_b] :
% 163.65/163.55 ( class_Lattices_Olattice(T_b)
% 163.65/163.55 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.65/163.55 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.65/163.55 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 163.65/163.55 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.65/163.55 => 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)) ) ) ) ) ) ).
% 163.65/163.55
% 163.65/163.55 fof(fact_Inf__fin_Ounion__idem,axiom,
% 163.65/163.55 ! [V_B_2,V_A_2,T_b] :
% 163.65/163.55 ( class_Lattices_Olattice(T_b)
% 163.65/163.55 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.65/163.55 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.65/163.55 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 163.65/163.55 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.65/163.55 => 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)) ) ) ) ) ) ).
% 163.65/163.55
% 163.65/163.55 fof(fact_card__Un__disjoint,axiom,
% 163.65/163.55 ! [V_B_2,V_A_2,T_b] :
% 163.65/163.55 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.65/163.55 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 163.65/163.55 => ( 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))
% 163.65/163.55 => 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)) ) ) ) ).
% 163.65/163.55
% 163.65/163.55 fof(fact_card_Oinsert,axiom,
% 163.65/163.55 ! [V_x_2,V_A_2,T_b] :
% 163.65/163.55 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.65/163.55 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 163.65/163.55 => 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)) ) ) ).
% 163.65/163.55
% 163.65/163.55 fof(fact_Sup__fin_Oinsert,axiom,
% 163.65/163.55 ! [V_x_2,V_A_2,T_b] :
% 163.65/163.55 ( class_Lattices_Olattice(T_b)
% 163.65/163.55 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.65/163.55 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 163.65/163.55 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.65/163.55 => 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)) ) ) ) ) ).
% 163.65/163.55
% 163.65/163.55 fof(fact_Inf__fin_Oinsert,axiom,
% 163.65/163.55 ! [V_x_2,V_A_2,T_b] :
% 163.65/163.55 ( class_Lattices_Olattice(T_b)
% 163.65/163.55 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.65/163.55 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 163.65/163.55 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.65/163.55 => 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)) ) ) ) ) ).
% 163.65/163.55
% 163.65/163.55 fof(fact_Sup__fin_Oinsert__remove,axiom,
% 163.65/163.55 ! [V_x_2,V_A_2,T_b] :
% 163.65/163.55 ( class_Lattices_Olattice(T_b)
% 163.65/163.55 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.65/163.55 => ( ( 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))
% 163.65/163.55 => 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 )
% 163.65/163.55 & ( 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))
% 163.65/163.55 => 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)))))) ) ) ) ) ).
% 163.65/163.55
% 163.65/163.55 fof(fact_Inf__fin_Oinsert__remove,axiom,
% 163.65/163.55 ! [V_x_2,V_A_2,T_b] :
% 163.65/163.55 ( class_Lattices_Olattice(T_b)
% 163.65/163.55 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.65/163.55 => ( ( 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))
% 163.65/163.55 => 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 )
% 163.65/163.55 & ( 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))
% 163.65/163.55 => 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)))))) ) ) ) ) ).
% 163.65/163.55
% 163.65/163.55 fof(fact_Sup__fin_Ounion__disjoint,axiom,
% 163.65/163.55 ! [V_B_2,V_A_2,T_b] :
% 163.65/163.55 ( class_Lattices_Olattice(T_b)
% 163.65/163.55 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.65/163.55 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.65/163.55 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 163.65/163.55 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.65/163.55 => ( 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))
% 163.65/163.55 => 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)) ) ) ) ) ) ) ).
% 163.65/163.55
% 163.65/163.55 fof(fact_Sup__fin_Ounion__inter,axiom,
% 163.65/163.55 ! [V_B_2,V_A_2,T_b] :
% 163.65/163.55 ( class_Lattices_Olattice(T_b)
% 163.65/163.55 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.65/163.55 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 163.65/163.55 => ( 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))
% 163.65/163.55 => 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)) ) ) ) ) ).
% 163.65/163.55
% 163.65/163.55 fof(fact_Inf__fin_Ounion__disjoint,axiom,
% 163.65/163.55 ! [V_B_2,V_A_2,T_b] :
% 163.65/163.55 ( class_Lattices_Olattice(T_b)
% 163.65/163.55 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.65/163.55 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.65/163.55 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 163.65/163.55 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.65/163.55 => ( 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))
% 163.65/163.55 => 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)) ) ) ) ) ) ) ).
% 163.65/163.55
% 163.65/163.55 fof(fact_Inf__fin_Ounion__inter,axiom,
% 163.65/163.55 ! [V_B_2,V_A_2,T_b] :
% 163.65/163.55 ( class_Lattices_Olattice(T_b)
% 163.65/163.55 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.65/163.55 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 163.65/163.55 => ( 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))
% 163.65/163.55 => 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)) ) ) ) ) ).
% 163.65/163.55
% 163.65/163.55 fof(fact_card_Oinsert__remove,axiom,
% 163.65/163.55 ! [V_x_2,V_A_2,T_b] :
% 163.65/163.55 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.65/163.55 => 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)))))) ) ).
% 163.65/163.55
% 163.65/163.55 fof(fact_nat__less__add__iff2,axiom,
% 163.65/163.55 ! [V_n_2,V_m_2,V_u_2,V_j_2,V_i_2] :
% 163.65/163.55 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i_2),V_j_2))
% 163.65/163.55 => ( 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)))
% 163.65/163.55 <=> 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))) ) ) ).
% 163.65/163.55
% 163.65/163.55 fof(fact_nat__less__add__iff1,axiom,
% 163.65/163.55 ! [V_n_2,V_m_2,V_u_2,V_i_2,V_j_2] :
% 163.65/163.55 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j_2),V_i_2))
% 163.65/163.55 => ( 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)))
% 163.65/163.55 <=> 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)) ) ) ).
% 163.65/163.55
% 163.65/163.55 fof(fact_nat__le__add__iff1,axiom,
% 163.65/163.55 ! [V_n_2,V_m_2,V_u_2,V_i_2,V_j_2] :
% 163.65/163.55 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j_2),V_i_2))
% 163.65/163.55 => ( 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)))
% 163.65/163.55 <=> 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)) ) ) ).
% 163.65/163.55
% 163.65/163.55 fof(fact_nat__diff__add__eq1,axiom,
% 163.65/163.55 ! [V_n,V_m,V_u,V_i,V_j] :
% 163.65/163.55 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j),V_i))
% 163.65/163.55 => 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) ) ).
% 163.65/163.55
% 163.65/163.55 fof(fact_nat__eq__add__iff1,axiom,
% 163.65/163.55 ! [V_n_2,V_m_2,V_u_2,V_i_2,V_j_2] :
% 163.65/163.55 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j_2),V_i_2))
% 163.65/163.55 => ( 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)
% 163.65/163.55 <=> 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 ) ) ).
% 163.65/163.55
% 163.65/163.55 fof(fact_nat__le__add__iff2,axiom,
% 163.65/163.55 ! [V_n_2,V_m_2,V_u_2,V_j_2,V_i_2] :
% 163.65/163.55 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i_2),V_j_2))
% 163.65/163.55 => ( 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)))
% 163.65/163.55 <=> 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))) ) ) ).
% 163.65/163.55
% 163.65/163.55 fof(fact_nat__diff__add__eq2,axiom,
% 163.65/163.55 ! [V_n,V_m,V_u,V_j,V_i] :
% 163.65/163.55 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 163.65/163.55 => 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)) ) ).
% 163.65/163.55
% 163.65/163.55 fof(fact_left__add__mult__distrib,axiom,
% 163.65/163.55 ! [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) ).
% 163.65/163.55
% 163.65/163.55 fof(fact_nat__eq__add__iff2,axiom,
% 163.65/163.55 ! [V_n_2,V_m_2,V_u_2,V_j_2,V_i_2] :
% 163.65/163.55 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i_2),V_j_2))
% 163.65/163.55 => ( 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)
% 163.65/163.55 <=> 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) ) ) ).
% 163.65/163.55
% 163.65/163.55 fof(fact_Inf__fin_Oclosed,axiom,
% 163.65/163.55 ! [V_A_2,T_b] :
% 163.65/163.55 ( class_Lattices_Olattice(T_b)
% 163.65/163.55 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.65/163.55 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.65/163.55 => ( ! [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))))))
% 163.65/163.55 => hBOOL(hAPP(hAPP(c_member(T_b),c_Big__Operators_Olattice__class_OInf__fin(T_b,V_A_2)),V_A_2)) ) ) ) ) ).
% 163.65/163.55
% 163.65/163.55 fof(fact_Sup__fin_Oclosed,axiom,
% 163.65/163.55 ! [V_A_2,T_b] :
% 163.65/163.55 ( class_Lattices_Olattice(T_b)
% 163.65/163.55 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.65/163.55 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.65/163.55 => ( ! [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))))))
% 163.65/163.55 => hBOOL(hAPP(hAPP(c_member(T_b),c_Big__Operators_Olattice__class_OSup__fin(T_b,V_A_2)),V_A_2)) ) ) ) ) ).
% 163.65/163.55
% 163.65/163.55 fof(fact_inf__Sup1__distrib,axiom,
% 163.65/163.55 ! [V_x_2,V_A_2,T_b] :
% 163.65/163.55 ( class_Lattices_Odistrib__lattice(T_b)
% 163.65/163.55 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.65/163.55 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.65/163.55 => 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))))) ) ) ) ).
% 163.65/163.55
% 163.65/163.55 fof(fact_inf__Sup2__distrib,axiom,
% 163.65/163.55 ! [V_B_2,V_A_2,T_b] :
% 163.65/163.55 ( class_Lattices_Odistrib__lattice(T_b)
% 163.65/163.55 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.65/163.55 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.65/163.55 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 163.65/163.55 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.65/163.55 => 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))))))) ) ) ) ) ) ).
% 163.65/163.55
% 163.65/163.55 fof(fact_sup__Inf2__distrib,axiom,
% 163.65/163.55 ! [V_B_2,V_A_2,T_b] :
% 163.65/163.55 ( class_Lattices_Odistrib__lattice(T_b)
% 163.65/163.55 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.65/163.55 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.65/163.55 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 163.65/163.55 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.65/163.55 => 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))))))) ) ) ) ) ) ).
% 163.65/163.55
% 163.65/163.55 fof(fact_sup__Inf1__distrib,axiom,
% 163.65/163.55 ! [V_x_2,V_A_2,T_b] :
% 163.65/163.55 ( class_Lattices_Odistrib__lattice(T_b)
% 163.65/163.55 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.65/163.55 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.65/163.55 => 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))))) ) ) ) ).
% 163.65/163.55
% 163.65/163.55 fof(fact_DomainP_Oequations,axiom,
% 163.65/163.55 ! [V_a1_2,V_r_2,T_c,T_b] :
% 163.65/163.55 ( hBOOL(hAPP(c_Predicate_ODomainP(T_b,T_c,V_r_2),V_a1_2))
% 163.65/163.55 <=> ? [B_x1] : hBOOL(hAPP(hAPP(V_r_2,V_a1_2),B_x1)) ) ).
% 163.65/163.55
% 163.65/163.55 fof(fact_finite__image__set,axiom,
% 163.65/163.55 ! [V_f_2,T_c,V_P_2,T_b] :
% 163.65/163.55 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),V_P_2)))
% 163.65/163.55 => 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))))) ) ).
% 163.65/163.55
% 163.65/163.55 fof(fact_finite__Collect__bounded__ex,axiom,
% 163.65/163.55 ! [V_Q_2,T_c,V_P_2,T_b] :
% 163.65/163.55 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),V_P_2)))
% 163.65/163.55 => ( 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)))))
% 163.65/163.55 <=> ! [B_y] :
% 163.65/163.55 ( hBOOL(hAPP(V_P_2,B_y))
% 163.65/163.55 => 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)))) ) ) ) ).
% 163.65/163.55
% 163.65/163.55 fof(fact_Id__def,axiom,
% 163.65/163.55 ! [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))))) ).
% 163.65/163.55
% 163.65/163.55 fof(fact_Pow__Compl,axiom,
% 163.65/163.55 ! [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))))) ).
% 163.65/163.55
% 163.65/163.55 fof(fact_Domain__Collect__split,axiom,
% 163.65/163.55 ! [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)) ).
% 163.65/163.55
% 163.65/163.55 fof(fact_Range__Collect__split,axiom,
% 163.65/163.55 ! [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))) ).
% 163.65/163.55
% 163.65/163.55 fof(fact_rel__comp__def,axiom,
% 163.65/163.55 ! [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))))) ).
% 163.65/163.55
% 163.65/163.55 fof(fact_add__Min__commute,axiom,
% 163.65/163.55 ! [V_k_2,V_N_2,T_b] :
% 163.65/163.55 ( class_Groups_Olinordered__ab__semigroup__add(T_b)
% 163.65/163.55 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2))
% 163.65/163.55 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.65/163.55 => 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))))) ) ) ) ).
% 163.65/163.55
% 163.65/163.55 fof(fact_add__Max__commute,axiom,
% 163.65/163.55 ! [V_k_2,V_N_2,T_b] :
% 163.65/163.55 ( class_Groups_Olinordered__ab__semigroup__add(T_b)
% 163.65/163.55 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2))
% 163.65/163.55 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.65/163.55 => 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))))) ) ) ) ).
% 163.65/163.55
% 163.65/163.55 fof(fact_fold__Un__disjoint,axiom,
% 163.65/163.55 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] :
% 163.65/163.55 ( class_Groups_Ocomm__monoid__mult(T_c)
% 163.65/163.55 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.65/163.55 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 163.65/163.55 => ( 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))
% 163.65/163.55 => 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)) ) ) ) ) ).
% 163.65/163.55
% 163.65/163.55 fof(fact_Inf__fin_Ohom__commute,axiom,
% 163.65/163.55 ! [V_N_2,V_h_2,T_b] :
% 163.65/163.55 ( class_Lattices_Olattice(T_b)
% 163.65/163.55 => ( ! [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))
% 163.65/163.55 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2))
% 163.65/163.55 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.65/163.55 => 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)) ) ) ) ) ).
% 163.65/163.55
% 163.65/163.55 fof(fact_Sup__fin_Ohom__commute,axiom,
% 163.65/163.55 ! [V_N_2,V_h_2,T_b] :
% 163.65/163.55 ( class_Lattices_Olattice(T_b)
% 163.65/163.55 => ( ! [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))
% 163.65/163.55 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2))
% 163.65/163.55 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.65/163.55 => 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)) ) ) ) ) ).
% 163.65/163.55
% 163.65/163.55 fof(fact_hom__fold1__commute,axiom,
% 163.65/163.55 ! [V_N_2,V_h_2,T_b] :
% 163.65/163.55 ( class_Lattices_Oab__semigroup__idem__mult(T_b)
% 163.65/163.55 => ( ! [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))
% 163.65/163.55 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2))
% 163.65/163.55 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.65/163.55 => 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)) ) ) ) ) ).
% 163.65/163.55
% 163.65/163.55 fof(fact_fold__image__empty,axiom,
% 163.65/163.55 ! [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 ).
% 163.65/163.55
% 163.65/163.55 fof(fact_minus__Min__eq__Max,axiom,
% 163.65/163.55 ! [V_S_2,T_b] :
% 163.65/163.55 ( class_Groups_Olinordered__ab__group__add(T_b)
% 163.65/163.55 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 163.65/163.55 => ( V_S_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.65/163.55 => 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)) ) ) ) ).
% 163.65/163.55
% 163.65/163.55 fof(fact_minus__Max__eq__Min,axiom,
% 163.65/163.55 ! [V_S_2,T_b] :
% 163.65/163.55 ( class_Groups_Olinordered__ab__group__add(T_b)
% 163.65/163.55 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 163.65/163.55 => ( V_S_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.65/163.55 => 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)) ) ) ) ).
% 163.65/163.55
% 163.65/163.55 fof(fact_Min_Osingleton,axiom,
% 163.65/163.55 ! [V_x_2,T_b] :
% 163.65/163.55 ( class_Orderings_Olinorder(T_b)
% 163.65/163.55 => 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 ) ).
% 163.65/163.55
% 163.65/163.55 fof(fact_Max_Osingleton,axiom,
% 163.65/163.55 ! [V_x_2,T_b] :
% 163.65/163.55 ( class_Orderings_Olinorder(T_b)
% 163.65/163.55 => 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 ) ).
% 163.65/163.55
% 163.65/163.55 fof(fact_folding__image__simple_Oeq__fold__g,axiom,
% 163.65/163.55 ! [V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] :
% 163.65/163.55 ( c_Finite__Set_Ofolding__image__simple(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2)
% 163.65/163.55 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 163.65/163.55 => 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) ) ) ).
% 163.65/163.55
% 163.65/163.55 fof(fact_Max__ge,axiom,
% 163.65/163.55 ! [V_x_2,V_A_2,T_b] :
% 163.65/163.55 ( class_Orderings_Olinorder(T_b)
% 163.65/163.55 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.65/163.55 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 163.65/163.55 => 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))) ) ) ) ).
% 163.65/163.55
% 163.65/163.55 fof(fact_Min__le,axiom,
% 163.65/163.55 ! [V_x_2,V_A_2,T_b] :
% 163.65/163.55 ( class_Orderings_Olinorder(T_b)
% 163.65/163.55 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.65/163.55 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 163.65/163.55 => 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)) ) ) ) ).
% 163.65/163.55
% 163.65/163.55 fof(fact_Min__in,axiom,
% 163.65/163.55 ! [V_A_2,T_b] :
% 163.65/163.55 ( class_Orderings_Olinorder(T_b)
% 163.65/163.55 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.65/163.55 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.65/163.55 => hBOOL(hAPP(hAPP(c_member(T_b),c_Big__Operators_Olinorder__class_OMin(T_b,V_A_2)),V_A_2)) ) ) ) ).
% 163.65/163.55
% 163.65/163.55 fof(fact_Max__in,axiom,
% 163.65/163.55 ! [V_A_2,T_b] :
% 163.65/163.55 ( class_Orderings_Olinorder(T_b)
% 163.65/163.55 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.65/163.55 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.65/163.55 => hBOOL(hAPP(hAPP(c_member(T_b),c_Big__Operators_Olinorder__class_OMax(T_b,V_A_2)),V_A_2)) ) ) ) ).
% 163.65/163.55
% 163.65/163.55 fof(fact_fold__image__distrib,axiom,
% 163.65/163.55 ! [V_h_2,V_g_2,V_A_2,T_b,T_c] :
% 163.65/163.55 ( class_Groups_Ocomm__monoid__mult(T_c)
% 163.65/163.55 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.65/163.55 => 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)) ) ) ).
% 163.65/163.55
% 163.65/163.55 fof(fact_fold__image__insert,axiom,
% 163.65/163.55 ! [V_z_2,V_g_2,V_a_2,V_A_2,T_b,T_c] :
% 163.65/163.55 ( class_Groups_Oab__semigroup__mult(T_c)
% 163.65/163.55 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.65/163.55 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 163.65/163.55 => 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)) ) ) ) ).
% 163.65/163.55
% 163.65/163.55 fof(fact_Min__antimono,axiom,
% 163.65/163.55 ! [V_N_2,V_M_2,T_b] :
% 163.65/163.55 ( class_Orderings_Olinorder(T_b)
% 163.65/163.55 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_M_2),V_N_2))
% 163.65/163.55 => ( V_M_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.65/163.55 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2))
% 163.65/163.55 => 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))) ) ) ) ) ).
% 163.65/163.55
% 163.65/163.55 fof(fact_Max__mono,axiom,
% 163.65/163.55 ! [V_N_2,V_M_2,T_b] :
% 163.65/163.55 ( class_Orderings_Olinorder(T_b)
% 163.65/163.55 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_M_2),V_N_2))
% 163.65/163.55 => ( V_M_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.65/163.55 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2))
% 163.65/163.55 => 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))) ) ) ) ) ).
% 163.65/163.55
% 163.65/163.55 fof(fact_fold__image__Un__Int,axiom,
% 163.65/163.55 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] :
% 163.65/163.55 ( class_Groups_Ocomm__monoid__mult(T_c)
% 163.65/163.55 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.65/163.55 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 163.65/163.55 => 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))) ) ) ) ).
% 163.65/163.55
% 163.65/163.55 fof(fact_image__eq__fold__image,axiom,
% 163.65/163.55 ! [V_f_2,T_c,V_A_2,T_b] :
% 163.65/163.55 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.65/163.55 => 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) ) ).
% 163.65/163.55
% 163.65/163.55 fof(fact_comm__monoid__big_OF__eq,axiom,
% 163.65/163.55 ! [V_g_2,V_A_2,V_F_2,V_z_2,V_f_2,T_c,T_b] :
% 163.65/163.55 ( c_Big__Operators_Ocomm__monoid__big(T_b,T_c,V_f_2,V_z_2,V_F_2)
% 163.65/163.55 => ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 163.65/163.55 => 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) )
% 163.65/163.55 & ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 163.65/163.55 => hAPP(hAPP(V_F_2,V_g_2),V_A_2) = V_z_2 ) ) ) ).
% 163.65/163.55
% 163.65/163.55 fof(fact_fold__image__Un__one,axiom,
% 163.65/163.55 ! [V_f_2,V_T_2,V_S_2,T_b,T_c] :
% 163.65/163.55 ( class_Groups_Ocomm__monoid__mult(T_c)
% 163.65/163.55 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 163.65/163.55 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_T_2))
% 163.65/163.55 => ( ! [B_x] :
% 163.65/163.55 ( 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)))
% 163.65/163.55 => hAPP(V_f_2,B_x) = c_Groups_Oone__class_Oone(T_c) )
% 163.65/163.55 => 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)) ) ) ) ) ).
% 163.65/163.55
% 163.65/163.55 fof(fact_wfP__acyclicP,axiom,
% 163.65/163.55 ! [V_r_2,T_b] :
% 163.65/163.55 ( c_Wellfounded_OwfP(T_b,V_r_2)
% 163.65/163.55 => 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))) ) ).
% 163.65/163.55
% 163.65/163.55 fof(fact_card__partition,axiom,
% 163.65/163.55 ! [V_k_2,V_C_2,T_b] :
% 163.65/163.55 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(T_b,tc_HOL_Obool)),V_C_2))
% 163.65/163.55 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_C_2)))
% 163.65/163.55 => ( ! [B_c] :
% 163.65/163.55 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_c),V_C_2))
% 163.65/163.55 => hAPP(c_Finite__Set_Ocard(T_b),B_c) = V_k_2 )
% 163.65/163.55 => ( ! [B_c1] :
% 163.65/163.55 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_c1),V_C_2))
% 163.65/163.55 => ! [B_c2] :
% 163.65/163.55 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_c2),V_C_2))
% 163.65/163.55 => ( B_c1 != B_c2
% 163.65/163.55 => 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)) ) ) )
% 163.65/163.55 => 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)) ) ) ) ) ).
% 163.65/163.55
% 163.65/163.55 fof(fact_acyclicP__converse,axiom,
% 163.65/163.55 ! [V_r_2,T_b] :
% 163.65/163.55 ( 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))))
% 163.65/163.55 <=> 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))) ) ).
% 163.65/163.55
% 163.65/163.55 fof(fact_card__Suc__Diff1,axiom,
% 163.65/163.55 ! [V_x_2,V_A_2,T_b] :
% 163.65/163.55 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.65/163.55 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 163.65/163.55 => 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) ) ) ).
% 163.65/163.55
% 163.65/163.55 fof(fact_Suc__mono,axiom,
% 163.65/163.55 ! [V_n,V_m] :
% 163.65/163.55 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 163.65/163.55 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),hAPP(c_Nat_OSuc,V_n))) ) ).
% 163.65/163.55
% 163.65/163.55 fof(fact_lessI,axiom,
% 163.65/163.55 ! [V_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),hAPP(c_Nat_OSuc,V_n))) ).
% 163.65/163.55
% 163.65/163.55 fof(fact_n__not__Suc__n,axiom,
% 163.65/163.55 ! [V_n] : V_n != hAPP(c_Nat_OSuc,V_n) ).
% 163.65/163.55
% 163.65/163.55 fof(fact_Suc__n__not__n,axiom,
% 163.65/163.55 ! [V_n] : hAPP(c_Nat_OSuc,V_n) != V_n ).
% 163.65/163.55
% 163.65/163.55 fof(fact_nat_Oinject,axiom,
% 163.65/163.55 ! [V_nat_H_2,V_nat_2] :
% 163.65/163.55 ( hAPP(c_Nat_OSuc,V_nat_2) = hAPP(c_Nat_OSuc,V_nat_H_2)
% 163.65/163.55 <=> V_nat_2 = V_nat_H_2 ) ).
% 163.65/163.55
% 163.65/163.55 fof(fact_Suc__inject,axiom,
% 163.65/163.55 ! [V_y,V_x] :
% 163.65/163.55 ( hAPP(c_Nat_OSuc,V_x) = hAPP(c_Nat_OSuc,V_y)
% 163.65/163.55 => V_x = V_y ) ).
% 163.65/163.55
% 163.65/163.55 fof(fact_not__less__eq,axiom,
% 163.65/163.55 ! [V_n_2,V_m_2] :
% 163.65/163.55 ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2))
% 163.65/163.55 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),hAPP(c_Nat_OSuc,V_m_2))) ) ).
% 163.65/163.55
% 163.65/163.55 fof(fact_less__Suc__eq,axiom,
% 163.65/163.55 ! [V_n_2,V_m_2] :
% 163.65/163.55 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),hAPP(c_Nat_OSuc,V_n_2)))
% 163.65/163.55 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2))
% 163.65/163.55 | V_m_2 = V_n_2 ) ) ).
% 163.65/163.55
% 163.65/163.55 fof(fact_Suc__less__eq,axiom,
% 163.65/163.55 ! [V_n_2,V_m_2] :
% 163.65/163.55 ( 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)))
% 163.65/163.55 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ).
% 163.65/163.55
% 163.65/163.55 fof(fact_not__less__less__Suc__eq,axiom,
% 163.65/163.55 ! [V_m_2,V_n_2] :
% 163.65/163.55 ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),V_m_2))
% 163.65/163.55 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),hAPP(c_Nat_OSuc,V_m_2)))
% 163.65/163.55 <=> V_n_2 = V_m_2 ) ) ).
% 163.65/163.55
% 163.65/163.55 fof(fact_less__antisym,axiom,
% 163.65/163.55 ! [V_m,V_n] :
% 163.65/163.55 ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),V_m))
% 163.65/163.55 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),hAPP(c_Nat_OSuc,V_m)))
% 163.65/163.55 => V_m = V_n ) ) ).
% 163.65/163.55
% 163.65/163.55 fof(fact_less__SucI,axiom,
% 163.65/163.55 ! [V_n,V_m] :
% 163.65/163.55 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 163.65/163.55 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),hAPP(c_Nat_OSuc,V_n))) ) ).
% 163.65/163.55
% 163.65/163.55 fof(fact_Suc__lessI,axiom,
% 163.65/163.55 ! [V_n,V_m] :
% 163.65/163.55 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 163.65/163.55 => ( hAPP(c_Nat_OSuc,V_m) != V_n
% 163.65/163.55 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),V_n)) ) ) ).
% 163.65/163.55
% 163.65/163.55 fof(fact_less__trans__Suc,axiom,
% 163.65/163.55 ! [V_k,V_j,V_i] :
% 163.65/163.55 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 163.65/163.55 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_j),V_k))
% 163.65/163.55 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_i)),V_k)) ) ) ).
% 163.65/163.55
% 163.65/163.55 fof(fact_less__SucE,axiom,
% 163.65/163.55 ! [V_n,V_m] :
% 163.65/163.55 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),hAPP(c_Nat_OSuc,V_n)))
% 163.65/163.55 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 163.65/163.55 => V_m = V_n ) ) ).
% 163.65/163.55
% 163.65/163.55 fof(fact_Suc__lessD,axiom,
% 163.65/163.55 ! [V_n,V_m] :
% 163.65/163.55 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),V_n))
% 163.65/163.55 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ).
% 163.65/163.55
% 163.65/163.55 fof(fact_Suc__less__SucD,axiom,
% 163.65/163.55 ! [V_n,V_m] :
% 163.65/163.55 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),hAPP(c_Nat_OSuc,V_n)))
% 163.65/163.55 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ).
% 163.65/163.55
% 163.65/163.55 fof(fact_add__Suc__right,axiom,
% 163.65/163.55 ! [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)) ).
% 163.65/163.55
% 163.65/163.55 fof(fact_add__Suc,axiom,
% 163.65/163.55 ! [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)) ).
% 163.65/163.55
% 163.65/163.55 fof(fact_add__Suc__shift,axiom,
% 163.65/163.55 ! [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)) ).
% 163.65/163.55
% 163.65/163.55 fof(fact_Suc__leD,axiom,
% 163.65/163.55 ! [V_n,V_m] :
% 163.65/163.55 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),V_n))
% 163.65/163.55 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) ) ).
% 163.65/163.55
% 163.65/163.55 fof(fact_le__SucE,axiom,
% 163.65/163.55 ! [V_n,V_m] :
% 163.65/163.55 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),hAPP(c_Nat_OSuc,V_n)))
% 163.65/163.55 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 163.65/163.55 => V_m = hAPP(c_Nat_OSuc,V_n) ) ) ).
% 163.65/163.55
% 163.65/163.55 fof(fact_le__SucI,axiom,
% 163.65/163.55 ! [V_n,V_m] :
% 163.65/163.55 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 163.65/163.55 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),hAPP(c_Nat_OSuc,V_n))) ) ).
% 163.65/163.55
% 163.65/163.55 fof(fact_Suc__le__mono,axiom,
% 163.65/163.55 ! [V_m_2,V_n_2] :
% 163.65/163.55 ( 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)))
% 163.65/163.55 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n_2),V_m_2)) ) ).
% 163.65/163.55
% 163.65/163.55 fof(fact_le__Suc__eq,axiom,
% 163.65/163.55 ! [V_n_2,V_m_2] :
% 163.65/163.55 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),hAPP(c_Nat_OSuc,V_n_2)))
% 163.65/163.55 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2))
% 163.65/163.55 | V_m_2 = hAPP(c_Nat_OSuc,V_n_2) ) ) ).
% 163.65/163.55
% 163.65/163.55 fof(fact_not__less__eq__eq,axiom,
% 163.65/163.55 ! [V_n_2,V_m_2] :
% 163.65/163.55 ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2))
% 163.65/163.55 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_n_2)),V_m_2)) ) ).
% 163.65/163.55
% 163.65/163.55 fof(fact_Suc__n__not__le__n,axiom,
% 163.65/163.55 ! [V_n] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_n)),V_n)) ).
% 163.65/163.55
% 163.65/163.55 fof(fact_Suc__diff__diff,axiom,
% 163.65/163.55 ! [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) ).
% 163.65/163.55
% 163.65/163.55 fof(fact_diff__Suc__Suc,axiom,
% 163.65/163.55 ! [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) ).
% 163.65/163.55
% 163.65/163.55 fof(fact_Suc__mult__cancel1,axiom,
% 163.65/163.55 ! [V_n_2,V_m_2,V_k_2] :
% 163.65/163.55 ( 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)
% 163.65/163.55 <=> V_m_2 = V_n_2 ) ).
% 163.65/163.55
% 163.65/163.55 fof(fact_inj__Suc,axiom,
% 163.65/163.55 ! [V_N_2] : c_Fun_Oinj__on(tc_Nat_Onat,tc_Nat_Onat,c_Nat_OSuc,V_N_2) ).
% 163.65/163.55
% 163.65/163.55 fof(fact_wf__acyclic,axiom,
% 163.65/163.55 ! [V_r_2,T_b] :
% 163.65/163.55 ( c_Wellfounded_Owf(T_b,V_r_2)
% 163.65/163.55 => c_Wellfounded_Oacyclic(T_b,V_r_2) ) ).
% 163.65/163.55
% 163.65/163.55 fof(fact_acyclic__subset,axiom,
% 163.65/163.55 ! [V_r_2,V_s_2,T_b] :
% 163.65/163.55 ( c_Wellfounded_Oacyclic(T_b,V_s_2)
% 163.65/163.55 => ( 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))
% 163.65/163.55 => c_Wellfounded_Oacyclic(T_b,V_r_2) ) ) ).
% 163.65/163.55
% 163.65/163.55 fof(fact_acyclic__converse,axiom,
% 163.65/163.55 ! [V_r_2,T_b] :
% 163.65/163.55 ( c_Wellfounded_Oacyclic(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2))
% 163.65/163.55 <=> c_Wellfounded_Oacyclic(T_b,V_r_2) ) ).
% 163.65/163.55
% 163.65/163.55 fof(fact_less__iff__Suc__add,axiom,
% 163.65/163.55 ! [V_n_2,V_m_2] :
% 163.65/163.55 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2))
% 163.65/163.55 <=> ? [B_k] : V_n_2 = hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),B_k)) ) ).
% 163.65/163.55
% 163.65/163.55 fof(fact_less__add__Suc2,axiom,
% 163.65/163.55 ! [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)))) ).
% 163.65/163.55
% 163.65/163.55 fof(fact_less__add__Suc1,axiom,
% 163.65/163.55 ! [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)))) ).
% 163.65/163.55
% 163.65/163.55 fof(fact_Suc__le__lessD,axiom,
% 163.65/163.55 ! [V_n,V_m] :
% 163.65/163.55 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),V_n))
% 163.65/163.55 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ).
% 163.65/163.55
% 163.65/163.55 fof(fact_le__less__Suc__eq,axiom,
% 163.65/163.55 ! [V_n_2,V_m_2] :
% 163.65/163.55 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2))
% 163.65/163.55 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),hAPP(c_Nat_OSuc,V_m_2)))
% 163.65/163.55 <=> V_n_2 = V_m_2 ) ) ).
% 163.65/163.55
% 163.65/163.55 fof(fact_Suc__leI,axiom,
% 163.65/163.55 ! [V_n,V_m] :
% 163.65/163.55 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 163.65/163.55 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),V_n)) ) ).
% 163.65/163.55
% 163.65/163.55 fof(fact_le__imp__less__Suc,axiom,
% 163.65/163.55 ! [V_n,V_m] :
% 163.65/163.55 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 163.65/163.55 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),hAPP(c_Nat_OSuc,V_n))) ) ).
% 163.65/163.55
% 163.65/163.55 fof(fact_Suc__le__eq,axiom,
% 163.65/163.55 ! [V_n_2,V_m_2] :
% 163.65/163.55 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m_2)),V_n_2))
% 163.65/163.55 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ).
% 163.65/163.55
% 163.65/163.55 fof(fact_less__Suc__eq__le,axiom,
% 163.65/163.55 ! [V_n_2,V_m_2] :
% 163.65/163.55 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),hAPP(c_Nat_OSuc,V_n_2)))
% 163.65/163.55 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ).
% 163.65/163.55
% 163.65/163.55 fof(fact_less__eq__Suc__le,axiom,
% 163.65/163.55 ! [V_m_2,V_n_2] :
% 163.65/163.55 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),V_m_2))
% 163.65/163.55 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_n_2)),V_m_2)) ) ).
% 163.65/163.55
% 163.65/163.55 fof(fact_diff__less__Suc,axiom,
% 163.65/163.55 ! [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))) ).
% 163.65/163.55
% 163.65/163.55 fof(fact_Suc__mult__less__cancel1,axiom,
% 163.65/163.55 ! [V_n_2,V_m_2,V_k_2] :
% 163.65/163.55 ( 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)))
% 163.65/163.55 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ).
% 163.65/163.55
% 163.65/163.55 fof(fact_mult__Suc__right,axiom,
% 163.65/163.55 ! [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)) ).
% 163.65/163.55
% 163.65/163.55 fof(fact_mult__Suc,axiom,
% 163.65/163.55 ! [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)) ).
% 163.65/163.55
% 163.65/163.55 fof(fact_Suc__diff__le,axiom,
% 163.65/163.55 ! [V_m,V_n] :
% 163.65/163.55 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m))
% 163.65/163.55 => 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)) ) ).
% 163.65/163.55
% 163.65/163.55 fof(fact_Suc__mult__le__cancel1,axiom,
% 163.65/163.55 ! [V_n_2,V_m_2,V_k_2] :
% 163.65/163.55 ( 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)))
% 163.65/163.55 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ).
% 163.65/163.55
% 163.65/163.55 fof(fact_diff__Suc__1,axiom,
% 163.65/163.55 ! [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 ).
% 163.65/163.55
% 163.65/163.55 fof(fact_less__eq__Suc__le__raw,axiom,
% 163.65/163.55 ! [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)) ).
% 163.65/163.55
% 163.65/163.55 fof(fact_wf__iff__no__infinite__down__chain,axiom,
% 163.65/163.55 ! [V_r_2,T_b] :
% 163.65/163.55 ( c_Wellfounded_Owf(T_b,V_r_2)
% 163.65/163.55 <=> ~ ? [B_f] :
% 163.65/163.55 ! [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)) ) ).
% 163.65/163.55
% 163.65/163.55 fof(fact_diff__Suc__diff__eq2,axiom,
% 163.65/163.55 ! [V_m,V_j,V_k] :
% 163.65/163.55 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_j))
% 163.65/163.55 => 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)) ) ).
% 163.65/163.55
% 163.65/163.55 fof(fact_diff__Suc__diff__eq1,axiom,
% 163.65/163.55 ! [V_m,V_j,V_k] :
% 163.65/163.55 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_j))
% 163.65/163.55 => 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)) ) ).
% 163.65/163.55
% 163.65/163.55 fof(fact_finite__acyclic__wf,axiom,
% 163.65/163.55 ! [V_r_2,T_b] :
% 163.65/163.55 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_b)),V_r_2))
% 163.65/163.55 => ( c_Wellfounded_Oacyclic(T_b,V_r_2)
% 163.65/163.55 => c_Wellfounded_Owf(T_b,V_r_2) ) ) ).
% 163.65/163.55
% 163.65/163.55 fof(fact_wf__iff__acyclic__if__finite,axiom,
% 163.65/163.55 ! [V_r_2,T_b] :
% 163.65/163.55 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_b)),V_r_2))
% 163.65/163.55 => ( c_Wellfounded_Owf(T_b,V_r_2)
% 163.65/163.55 <=> c_Wellfounded_Oacyclic(T_b,V_r_2) ) ) ).
% 163.65/163.55
% 163.65/163.55 fof(fact_card__insert__if,axiom,
% 163.65/163.55 ! [V_x_2,V_A_2,T_b] :
% 163.65/163.55 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.65/163.55 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 163.65/163.55 => 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) )
% 163.65/163.55 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 163.65/163.55 => 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)) ) ) ) ).
% 163.65/163.55
% 163.65/163.55 fof(fact_card__insert__disjoint,axiom,
% 163.65/163.55 ! [V_x_2,V_A_2,T_b] :
% 163.65/163.55 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.65/163.55 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 163.65/163.55 => 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)) ) ) ).
% 163.65/163.55
% 163.65/163.55 fof(fact_comm__monoid__big_Oinfinite,axiom,
% 163.65/163.55 ! [V_g_2,V_A_2,V_F_2,V_z_2,V_f_2,T_c,T_b] :
% 163.65/163.55 ( c_Big__Operators_Ocomm__monoid__big(T_b,T_c,V_f_2,V_z_2,V_F_2)
% 163.65/163.55 => ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 163.65/163.55 => hAPP(hAPP(V_F_2,V_g_2),V_A_2) = V_z_2 ) ) ).
% 163.65/163.55
% 163.65/163.55 fof(fact_card__insert,axiom,
% 163.65/163.55 ! [V_x_2,V_A_2,T_b] :
% 163.65/163.55 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.65/163.55 => 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)))))) ) ).
% 163.65/163.55
% 163.65/163.55 fof(fact_finite__acyclic__wf__converse,axiom,
% 163.65/163.55 ! [V_r_2,T_b] :
% 163.65/163.55 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_b)),V_r_2))
% 163.65/163.55 => ( c_Wellfounded_Oacyclic(T_b,V_r_2)
% 163.65/163.55 => c_Wellfounded_Owf(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2)) ) ) ).
% 163.65/163.55
% 163.65/163.55 fof(fact_pred__nat__def,axiom,
% 163.65/163.55 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))) ).
% 163.65/163.55
% 163.65/163.55 fof(fact_diff__Suc__eq__diff__pred,axiom,
% 163.65/163.55 ! [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) ).
% 163.65/163.55
% 163.65/163.55 fof(fact_Suc__eq__plus1__left,axiom,
% 163.65/163.55 ! [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) ).
% 163.65/163.55
% 163.65/163.55 fof(fact_Suc__eq__plus1,axiom,
% 163.65/163.55 ! [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)) ).
% 163.65/163.55
% 163.65/163.55 fof(fact_Nitpick_Owf_H__def,axiom,
% 163.65/163.55 ! [V_r_2,T_b] :
% 163.65/163.55 ( c_Nitpick_Owf_H(T_b,V_r_2)
% 163.65/163.55 <=> ( c_Wellfounded_Oacyclic(T_b,V_r_2)
% 163.65/163.55 & ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_b)),V_r_2))
% 163.65/163.55 | c_Nitpick_Ounknown(tc_HOL_Obool) ) ) ) ).
% 163.65/163.55
% 163.65/163.55 fof(fact_wf__pred__nat,axiom,
% 163.65/163.55 c_Wellfounded_Owf(tc_Nat_Onat,c_Wellfounded_Opred__nat) ).
% 163.65/163.55
% 163.65/163.55 fof(fact_finite__fun__UNIVD1,axiom,
% 163.65/163.55 ! [T_c,T_b] :
% 163.65/163.55 ( 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))))
% 163.65/163.55 => ( 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))
% 163.65/163.55 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) ) ) ).
% 163.65/163.55
% 163.65/163.55 fof(fact_wf__if__measure,axiom,
% 163.65/163.55 ! [T_b,V_g_2,V_f_2,V_P_2] :
% 163.65/163.55 ( ! [B_x] :
% 163.65/163.55 ( hBOOL(hAPP(V_P_2,B_x))
% 163.65/163.55 => 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))) )
% 163.65/163.55 => 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))))) ) ).
% 163.65/163.55
% 163.65/163.55 fof(fact_Min_Oremove,axiom,
% 163.65/163.55 ! [V_x_2,V_A_2,T_b] :
% 163.65/163.55 ( class_Orderings_Olinorder(T_b)
% 163.65/163.55 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.65/163.55 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 163.65/163.55 => ( ( 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))
% 163.65/163.55 => c_Big__Operators_Olinorder__class_OMin(T_b,V_A_2) = V_x_2 )
% 163.65/163.55 & ( 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))
% 163.65/163.55 => 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)))))) ) ) ) ) ) ).
% 163.65/163.55
% 163.65/163.55 fof(fact_Max_Oremove,axiom,
% 163.65/163.55 ! [V_x_2,V_A_2,T_b] :
% 163.65/163.55 ( class_Orderings_Olinorder(T_b)
% 163.65/163.55 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.65/163.55 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 163.65/163.55 => ( ( 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))
% 163.65/163.55 => c_Big__Operators_Olinorder__class_OMax(T_b,V_A_2) = V_x_2 )
% 163.65/163.55 & ( 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))
% 163.65/163.55 => 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)))))) ) ) ) ) ) ).
% 163.65/163.55
% 163.65/163.55 fof(fact_image__split__eq__Sigma,axiom,
% 163.65/163.55 ! [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))) ).
% 163.65/163.55
% 163.65/163.55 fof(fact_folding__one__idem_Ohom__commute,axiom,
% 163.65/163.55 ! [V_N_2,V_h_2,V_F_2,V_f_2,T_b] :
% 163.65/163.55 ( c_Finite__Set_Ofolding__one__idem(T_b,V_f_2,V_F_2)
% 163.65/163.55 => ( ! [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))
% 163.65/163.55 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2))
% 163.65/163.55 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.65/163.55 => 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)) ) ) ) ) ).
% 163.65/163.55
% 163.65/163.55 fof(fact_less__zeroE,axiom,
% 163.65/163.55 ! [V_n] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ).
% 163.65/163.55
% 163.65/163.55 fof(fact_le0,axiom,
% 163.65/163.55 ! [V_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) ).
% 163.65/163.55
% 163.65/163.55 fof(fact_zero__less__Suc,axiom,
% 163.65/163.55 ! [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))) ).
% 163.65/163.55
% 163.65/163.55 fof(fact_SigmaI,axiom,
% 163.65/163.55 ! [V_B_2,V_b_2,T_c,V_A_2,V_a_2,T_b] :
% 163.65/163.55 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 163.65/163.55 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_b_2),hAPP(V_B_2,V_a_2)))
% 163.65/163.55 => 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))) ) ) ).
% 163.65/163.55
% 163.65/163.55 fof(fact_Max_Oidem,axiom,
% 163.65/163.55 ! [V_x,T_a] :
% 163.65/163.55 ( class_Orderings_Olinorder(T_a)
% 163.65/163.55 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_x) = V_x ) ).
% 163.65/163.55
% 163.65/163.55 fof(fact_Min_Oidem,axiom,
% 163.65/163.55 ! [V_x,T_a] :
% 163.65/163.55 ( class_Orderings_Olinorder(T_a)
% 163.65/163.55 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_x) = V_x ) ).
% 163.65/163.55
% 163.65/163.55 fof(fact_minus__max__eq__min,axiom,
% 163.65/163.55 ! [V_y,V_x,T_a] :
% 163.65/163.55 ( class_Groups_Olinordered__ab__group__add(T_a)
% 163.65/163.55 => 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)) ) ).
% 163.65/163.55
% 163.65/163.55 fof(fact_minus__min__eq__max,axiom,
% 163.65/163.55 ! [V_y,V_x,T_a] :
% 163.65/163.55 ( class_Groups_Olinordered__ab__group__add(T_a)
% 163.65/163.55 => 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)) ) ).
% 163.65/163.55
% 163.65/163.55 fof(fact_zero__reorient,axiom,
% 163.65/163.55 ! [V_x_2,T_b] :
% 163.65/163.55 ( class_Groups_Ozero(T_b)
% 163.65/163.55 => ( c_Groups_Ozero__class_Ozero(T_b) = V_x_2
% 163.65/163.55 <=> V_x_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 163.65/163.55
% 163.65/163.55 fof(fact_min__max_Osup_Oidem,axiom,
% 163.65/163.55 ! [V_a,T_a] :
% 163.65/163.55 ( class_Orderings_Olinorder(T_a)
% 163.65/163.55 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_a),V_a) = V_a ) ).
% 163.65/163.55
% 163.65/163.55 fof(fact_min__max_Oinf_Oidem,axiom,
% 163.65/163.55 ! [V_a,T_a] :
% 163.65/163.55 ( class_Orderings_Olinorder(T_a)
% 163.65/163.55 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_a),V_a) = V_a ) ).
% 163.65/163.55
% 163.65/163.55 fof(fact_min__max_Osup_Ocommute,axiom,
% 163.65/163.55 ! [V_b,V_a,T_a] :
% 163.65/163.55 ( class_Orderings_Olinorder(T_a)
% 163.65/163.55 => 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) ) ).
% 163.65/163.55
% 163.65/163.55 fof(fact_min__max_Osup__commute,axiom,
% 163.65/163.55 ! [V_y,V_x,T_a] :
% 163.65/163.55 ( class_Orderings_Olinorder(T_a)
% 163.65/163.55 => 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) ) ).
% 163.65/163.55
% 163.65/163.55 fof(fact_min__max_Oinf_Ocommute,axiom,
% 163.65/163.55 ! [V_b,V_a,T_a] :
% 163.65/163.55 ( class_Orderings_Olinorder(T_a)
% 163.65/163.55 => 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) ) ).
% 163.65/163.55
% 163.65/163.55 fof(fact_min__max_Oinf__commute,axiom,
% 163.65/163.55 ! [V_y,V_x,T_a] :
% 163.65/163.55 ( class_Orderings_Olinorder(T_a)
% 163.65/163.55 => 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) ) ).
% 163.65/163.55
% 163.65/163.55 fof(fact_min__max_Osup__inf__absorb,axiom,
% 163.65/163.55 ! [V_y,V_x,T_a] :
% 163.65/163.55 ( class_Orderings_Olinorder(T_a)
% 163.65/163.55 => 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 ) ).
% 163.65/163.55
% 163.65/163.55 fof(fact_min__max_Oinf__sup__absorb,axiom,
% 163.65/163.55 ! [V_y,V_x,T_a] :
% 163.65/163.55 ( class_Orderings_Olinorder(T_a)
% 163.65/163.55 => 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 ) ).
% 163.65/163.55
% 163.65/163.55 fof(fact_min__max_Osup_Oleft__idem,axiom,
% 163.65/163.55 ! [V_b,V_a,T_a] :
% 163.65/163.55 ( class_Orderings_Olinorder(T_a)
% 163.65/163.55 => 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) ) ).
% 163.65/163.55
% 163.65/163.55 fof(fact_min__max_Osup__left__idem,axiom,
% 163.65/163.55 ! [V_y,V_x,T_a] :
% 163.65/163.55 ( class_Orderings_Olinorder(T_a)
% 163.65/163.55 => 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) ) ).
% 163.65/163.55
% 163.65/163.55 fof(fact_min__max_Oinf_Oleft__idem,axiom,
% 163.65/163.55 ! [V_b,V_a,T_a] :
% 163.65/163.55 ( class_Orderings_Olinorder(T_a)
% 163.65/163.55 => 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) ) ).
% 163.65/163.55
% 163.65/163.55 fof(fact_min__max_Oinf__left__idem,axiom,
% 163.65/163.55 ! [V_y,V_x,T_a] :
% 163.65/163.55 ( class_Orderings_Olinorder(T_a)
% 163.65/163.55 => 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) ) ).
% 163.65/163.55
% 163.65/163.55 fof(fact_min__max_Osup_Oleft__commute,axiom,
% 163.65/163.55 ! [V_c,V_a,V_b,T_a] :
% 163.65/163.55 ( class_Orderings_Olinorder(T_a)
% 163.65/163.55 => 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)) ) ).
% 163.65/163.55
% 163.65/163.55 fof(fact_min__max_Osup__left__commute,axiom,
% 163.65/163.55 ! [V_z,V_y,V_x,T_a] :
% 163.65/163.55 ( class_Orderings_Olinorder(T_a)
% 163.65/163.55 => 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)) ) ).
% 163.65/163.55
% 163.65/163.55 fof(fact_min__max_Oinf_Oleft__commute,axiom,
% 163.65/163.55 ! [V_c,V_a,V_b,T_a] :
% 163.65/163.55 ( class_Orderings_Olinorder(T_a)
% 163.65/163.55 => 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)) ) ).
% 163.65/163.55
% 163.65/163.55 fof(fact_min__max_Oinf__left__commute,axiom,
% 163.65/163.55 ! [V_z,V_y,V_x,T_a] :
% 163.65/163.55 ( class_Orderings_Olinorder(T_a)
% 163.65/163.55 => 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)) ) ).
% 163.65/163.55
% 163.65/163.55 fof(fact_min__max_Osup__inf__distrib1,axiom,
% 163.65/163.55 ! [V_z,V_y,V_x,T_a] :
% 163.65/163.55 ( class_Orderings_Olinorder(T_a)
% 163.65/163.55 => 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)) ) ).
% 163.65/163.55
% 163.65/163.55 fof(fact_min__max_Oinf__sup__distrib1,axiom,
% 163.65/163.55 ! [V_z,V_y,V_x,T_a] :
% 163.65/163.55 ( class_Orderings_Olinorder(T_a)
% 163.65/163.55 => 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)) ) ).
% 163.65/163.55
% 163.65/163.55 fof(fact_min__max_Osup_Oassoc,axiom,
% 163.65/163.55 ! [V_c,V_b,V_a,T_a] :
% 163.65/163.55 ( class_Orderings_Olinorder(T_a)
% 163.65/163.55 => 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)) ) ).
% 163.65/163.55
% 163.65/163.55 fof(fact_min__max_Osup__assoc,axiom,
% 163.65/163.55 ! [V_z,V_y,V_x,T_a] :
% 163.65/163.55 ( class_Orderings_Olinorder(T_a)
% 163.65/163.55 => 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)) ) ).
% 163.65/163.55
% 163.65/163.55 fof(fact_min__max_Oinf_Oassoc,axiom,
% 163.65/163.55 ! [V_c,V_b,V_a,T_a] :
% 163.65/163.55 ( class_Orderings_Olinorder(T_a)
% 163.65/163.55 => 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)) ) ).
% 163.65/163.55
% 163.65/163.55 fof(fact_min__max_Oinf__assoc,axiom,
% 163.65/163.55 ! [V_z,V_y,V_x,T_a] :
% 163.65/163.55 ( class_Orderings_Olinorder(T_a)
% 163.65/163.55 => 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)) ) ).
% 163.65/163.55
% 163.65/163.55 fof(fact_min__max_Osup__inf__distrib2,axiom,
% 163.65/163.55 ! [V_x,V_z,V_y,T_a] :
% 163.65/163.55 ( class_Orderings_Olinorder(T_a)
% 163.65/163.55 => 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)) ) ).
% 163.65/163.55
% 163.65/163.55 fof(fact_min__max_Oinf__sup__distrib2,axiom,
% 163.65/163.55 ! [V_x,V_z,V_y,T_a] :
% 163.65/163.55 ( class_Orderings_Olinorder(T_a)
% 163.65/163.55 => 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)) ) ).
% 163.65/163.55
% 163.65/163.55 fof(fact_min__0L,axiom,
% 163.65/163.55 ! [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) ).
% 163.65/163.55
% 163.65/163.55 fof(fact_max__0L,axiom,
% 163.65/163.55 ! [V_n] : hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n) = V_n ).
% 163.65/163.55
% 163.65/163.55 fof(fact_min__0R,axiom,
% 163.65/163.55 ! [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) ).
% 163.65/163.55
% 163.65/163.55 fof(fact_max__0R,axiom,
% 163.65/163.55 ! [V_n] : hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat),V_n),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = V_n ).
% 163.65/163.55
% 163.65/163.55 fof(fact_min__max_Odistrib__inf__le,axiom,
% 163.65/163.55 ! [V_z,V_y,V_x,T_a] :
% 163.65/163.55 ( class_Orderings_Olinorder(T_a)
% 163.65/163.55 => 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)))) ) ).
% 163.65/163.55
% 163.65/163.55 fof(fact_min__max_Odistrib__sup__le,axiom,
% 163.65/163.55 ! [V_z,V_y,V_x,T_a] :
% 163.65/163.55 ( class_Orderings_Olinorder(T_a)
% 163.65/163.55 => 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)))) ) ).
% 163.65/163.55
% 163.65/163.55 fof(fact_bot__nat__def,axiom,
% 163.65/163.55 c_Orderings_Obot__class_Obot(tc_Nat_Onat) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 163.65/163.55
% 163.65/163.55 fof(fact_le__max__iff__disj,axiom,
% 163.65/163.55 ! [V_y_2,V_x_2,V_z_2,T_b] :
% 163.65/163.55 ( class_Orderings_Olinorder(T_b)
% 163.65/163.55 => ( 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)))
% 163.65/163.55 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_z_2),V_x_2))
% 163.65/163.55 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_z_2),V_y_2)) ) ) ) ).
% 163.65/163.55
% 163.65/163.55 fof(fact_min__max_Ole__supE,axiom,
% 163.65/163.55 ! [V_x,V_b,V_a,T_a] :
% 163.65/163.55 ( class_Orderings_Olinorder(T_a)
% 163.65/163.55 => ( 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))
% 163.65/163.55 => ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_x))
% 163.65/163.55 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_x)) ) ) ) ).
% 163.65/163.55
% 163.65/163.55 fof(fact_min__max_Osup__mono,axiom,
% 163.65/163.55 ! [V_d,V_b,V_c,V_a,T_a] :
% 163.65/163.55 ( class_Orderings_Olinorder(T_a)
% 163.65/163.55 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_c))
% 163.65/163.55 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_d))
% 163.65/163.55 => 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))) ) ) ) ).
% 163.65/163.55
% 163.65/163.55 fof(fact_min__max_Osup__least,axiom,
% 163.65/163.55 ! [V_z,V_x,V_y,T_a] :
% 163.65/163.55 ( class_Orderings_Olinorder(T_a)
% 163.65/163.55 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 163.65/163.55 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_z),V_x))
% 163.65/163.55 => 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)) ) ) ) ).
% 163.65/163.55
% 163.65/163.55 fof(fact_min__max_Ole__supI,axiom,
% 163.65/163.55 ! [V_b,V_x,V_a,T_a] :
% 163.65/163.55 ( class_Orderings_Olinorder(T_a)
% 163.65/163.55 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_x))
% 163.65/163.55 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_x))
% 163.65/163.55 => 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)) ) ) ) ).
% 163.65/163.55
% 163.65/163.55 fof(fact_min__max_Osup__absorb1,axiom,
% 163.65/163.55 ! [V_x,V_y,T_a] :
% 163.65/163.55 ( class_Orderings_Olinorder(T_a)
% 163.65/163.55 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 163.65/163.55 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_y) = V_x ) ) ).
% 163.65/163.55
% 163.65/163.55 fof(fact_min__max_Osup__absorb2,axiom,
% 163.65/163.55 ! [V_y,V_x,T_a] :
% 163.65/163.55 ( class_Orderings_Olinorder(T_a)
% 163.65/163.55 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 163.65/163.55 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_y) = V_y ) ) ).
% 163.65/163.55
% 163.65/163.55 fof(fact_min__max_Ole__supI2,axiom,
% 163.65/163.55 ! [V_a,V_b,V_x,T_a] :
% 163.65/163.55 ( class_Orderings_Olinorder(T_a)
% 163.65/163.55 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_b))
% 163.65/163.55 => 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))) ) ) ).
% 163.65/163.55
% 163.65/163.55 fof(fact_min__max_Ole__supI1,axiom,
% 163.65/163.55 ! [V_b,V_a,V_x,T_a] :
% 163.65/163.55 ( class_Orderings_Olinorder(T_a)
% 163.65/163.55 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_a))
% 163.65/163.55 => 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))) ) ) ).
% 163.65/163.55
% 163.65/163.55 fof(fact_min__max_Ole__sup__iff,axiom,
% 163.65/163.55 ! [V_z_2,V_y_2,V_x_2,T_b] :
% 163.65/163.55 ( class_Orderings_Olinorder(T_b)
% 163.65/163.55 => ( 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))
% 163.65/163.55 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_z_2))
% 163.65/163.55 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_z_2)) ) ) ) ).
% 163.65/163.55
% 163.65/163.55 fof(fact_min__max_Ole__iff__sup,axiom,
% 163.65/163.55 ! [V_y_2,V_x_2,T_b] :
% 163.65/163.55 ( class_Orderings_Olinorder(T_b)
% 163.65/163.55 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 163.65/163.55 <=> hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_x_2),V_y_2) = V_y_2 ) ) ).
% 163.65/163.55
% 163.65/163.55 fof(fact_le__maxI2,axiom,
% 163.65/163.55 ! [V_x,V_y,T_a] :
% 163.65/163.55 ( class_Orderings_Olinorder(T_a)
% 163.65/163.55 => 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))) ) ).
% 163.65/163.55
% 163.65/163.55 fof(fact_le__maxI1,axiom,
% 163.65/163.55 ! [V_y,V_x,T_a] :
% 163.65/163.55 ( class_Orderings_Olinorder(T_a)
% 163.65/163.55 => 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))) ) ).
% 163.65/163.55
% 163.65/163.55 fof(fact_min__le__iff__disj,axiom,
% 163.65/163.55 ! [V_z_2,V_y_2,V_x_2,T_b] :
% 163.65/163.55 ( class_Orderings_Olinorder(T_b)
% 163.65/163.55 => ( 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))
% 163.65/163.55 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_z_2))
% 163.65/163.55 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_z_2)) ) ) ) ).
% 163.65/163.55
% 163.65/163.55 fof(fact_min__max_Ole__infE,axiom,
% 163.65/163.55 ! [V_b,V_a,V_x,T_a] :
% 163.65/163.55 ( class_Orderings_Olinorder(T_a)
% 163.65/163.55 => ( 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)))
% 163.65/163.55 => ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_a))
% 163.65/163.55 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_b)) ) ) ) ).
% 163.65/163.55
% 163.65/163.55 fof(fact_min__max_Oinf__mono,axiom,
% 163.65/163.55 ! [V_d,V_b,V_c,V_a,T_a] :
% 163.65/163.55 ( class_Orderings_Olinorder(T_a)
% 163.65/163.55 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_c))
% 163.65/163.55 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_d))
% 163.65/163.55 => 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))) ) ) ) ).
% 163.65/163.55
% 163.65/163.55 fof(fact_min__max_Oinf__greatest,axiom,
% 163.65/163.55 ! [V_z,V_y,V_x,T_a] :
% 163.65/163.55 ( class_Orderings_Olinorder(T_a)
% 163.65/163.55 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 163.65/163.55 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_z))
% 163.65/163.55 => 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))) ) ) ) ).
% 163.65/163.55
% 163.65/163.55 fof(fact_min__max_Ole__infI,axiom,
% 163.65/163.55 ! [V_b,V_a,V_x,T_a] :
% 163.65/163.55 ( class_Orderings_Olinorder(T_a)
% 163.65/163.55 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_a))
% 163.65/163.55 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_b))
% 163.65/163.55 => 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))) ) ) ) ).
% 163.65/163.55
% 163.65/163.55 fof(fact_min__max_Oinf__absorb2,axiom,
% 163.65/163.55 ! [V_x,V_y,T_a] :
% 163.65/163.55 ( class_Orderings_Olinorder(T_a)
% 163.65/163.55 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 163.65/163.55 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_y) = V_y ) ) ).
% 163.65/163.55
% 163.65/163.55 fof(fact_min__max_Oinf__absorb1,axiom,
% 163.65/163.55 ! [V_y,V_x,T_a] :
% 163.65/163.55 ( class_Orderings_Olinorder(T_a)
% 163.65/163.55 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 163.65/163.55 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_y) = V_x ) ) ).
% 163.65/163.55
% 163.65/163.55 fof(fact_min__max_Ole__infI2,axiom,
% 163.65/163.55 ! [V_a,V_x,V_b,T_a] :
% 163.65/163.55 ( class_Orderings_Olinorder(T_a)
% 163.65/163.55 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_x))
% 163.65/163.55 => 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)) ) ) ).
% 163.65/163.55
% 163.65/163.55 fof(fact_min__max_Ole__infI1,axiom,
% 163.65/163.55 ! [V_b,V_x,V_a,T_a] :
% 163.65/163.55 ( class_Orderings_Olinorder(T_a)
% 163.65/163.55 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_x))
% 163.65/163.55 => 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)) ) ) ).
% 163.65/163.55
% 163.65/163.55 fof(fact_min__max_Ole__inf__iff,axiom,
% 163.65/163.55 ! [V_z_2,V_y_2,V_x_2,T_b] :
% 163.65/163.55 ( class_Orderings_Olinorder(T_b)
% 163.65/163.55 => ( 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)))
% 163.65/163.55 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 163.65/163.55 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_z_2)) ) ) ) ).
% 163.65/163.55
% 163.65/163.55 fof(fact_min__max_Ole__iff__inf,axiom,
% 163.65/163.55 ! [V_y_2,V_x_2,T_b] :
% 163.65/163.55 ( class_Orderings_Olinorder(T_b)
% 163.65/163.55 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 163.65/163.55 <=> hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_x_2),V_y_2) = V_x_2 ) ) ).
% 163.65/163.55
% 163.65/163.55 fof(fact_min__max_Oinf__le2,axiom,
% 163.65/163.55 ! [V_y,V_x,T_a] :
% 163.65/163.55 ( class_Orderings_Olinorder(T_a)
% 163.65/163.55 => 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)) ) ).
% 163.65/163.55
% 163.65/163.55 fof(fact_min__max_Oinf__le1,axiom,
% 163.65/163.55 ! [V_y,V_x,T_a] :
% 163.65/163.55 ( class_Orderings_Olinorder(T_a)
% 163.65/163.55 => 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)) ) ).
% 163.65/163.55
% 163.65/163.55 fof(fact_less__max__iff__disj,axiom,
% 163.65/163.55 ! [V_y_2,V_x_2,V_z_2,T_b] :
% 163.65/163.55 ( class_Orderings_Olinorder(T_b)
% 163.65/163.55 => ( 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)))
% 163.65/163.55 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_z_2),V_x_2))
% 163.65/163.55 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_z_2),V_y_2)) ) ) ) ).
% 163.65/163.55
% 163.65/163.55 fof(fact_max__less__iff__conj,axiom,
% 163.65/163.55 ! [V_z_2,V_y_2,V_x_2,T_b] :
% 163.65/163.55 ( class_Orderings_Olinorder(T_b)
% 163.65/163.55 => ( 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))
% 163.65/163.55 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_z_2))
% 163.65/163.55 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_y_2),V_z_2)) ) ) ) ).
% 163.65/163.55
% 163.65/163.55 fof(fact_min__max_Oless__supI2,axiom,
% 163.65/163.55 ! [V_a,V_b,V_x,T_a] :
% 163.65/163.56 ( class_Orderings_Olinorder(T_a)
% 163.65/163.56 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_b))
% 163.65/163.56 => 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))) ) ) ).
% 163.65/163.56
% 163.65/163.56 fof(fact_min__max_Oless__supI1,axiom,
% 163.65/163.56 ! [V_b,V_a,V_x,T_a] :
% 163.65/163.56 ( class_Orderings_Olinorder(T_a)
% 163.65/163.56 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_a))
% 163.65/163.56 => 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))) ) ) ).
% 163.65/163.56
% 163.65/163.56 fof(fact_min__less__iff__conj,axiom,
% 163.65/163.56 ! [V_y_2,V_x_2,V_z_2,T_b] :
% 163.65/163.56 ( class_Orderings_Olinorder(T_b)
% 163.65/163.56 => ( 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)))
% 163.65/163.56 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_z_2),V_x_2))
% 163.65/163.56 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_z_2),V_y_2)) ) ) ) ).
% 163.65/163.56
% 163.65/163.56 fof(fact_min__less__iff__disj,axiom,
% 163.65/163.56 ! [V_z_2,V_y_2,V_x_2,T_b] :
% 163.65/163.56 ( class_Orderings_Olinorder(T_b)
% 163.65/163.56 => ( 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))
% 163.65/163.56 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_z_2))
% 163.65/163.56 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_y_2),V_z_2)) ) ) ) ).
% 163.65/163.56
% 163.65/163.56 fof(fact_min__max_Oless__infI2,axiom,
% 163.65/163.56 ! [V_a,V_x,V_b,T_a] :
% 163.65/163.56 ( class_Orderings_Olinorder(T_a)
% 163.65/163.56 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_x))
% 163.65/163.56 => 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)) ) ) ).
% 163.65/163.56
% 163.65/163.56 fof(fact_min__max_Oless__infI1,axiom,
% 163.65/163.56 ! [V_b,V_x,V_a,T_a] :
% 163.65/163.56 ( class_Orderings_Olinorder(T_a)
% 163.65/163.56 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_x))
% 163.65/163.56 => 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)) ) ) ).
% 163.65/163.56
% 163.65/163.56 fof(fact_max__add__distrib__left,axiom,
% 163.65/163.56 ! [V_z,V_y,V_x,T_a] :
% 163.65/163.56 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a)
% 163.65/163.56 => 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)) ) ).
% 163.65/163.56
% 163.65/163.56 fof(fact_min__add__distrib__left,axiom,
% 163.65/163.56 ! [V_z,V_y,V_x,T_a] :
% 163.65/163.56 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a)
% 163.65/163.56 => 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)) ) ).
% 163.65/163.56
% 163.65/163.56 fof(fact_max__diff__distrib__left,axiom,
% 163.65/163.56 ! [V_z,V_y,V_x,T_a] :
% 163.65/163.56 ( class_Groups_Oordered__ab__group__add(T_a)
% 163.65/163.56 => 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)) ) ).
% 163.65/163.56
% 163.65/163.56 fof(fact_min__diff__distrib__left,axiom,
% 163.65/163.56 ! [V_z,V_y,V_x,T_a] :
% 163.65/163.56 ( class_Groups_Oordered__ab__group__add(T_a)
% 163.65/163.56 => 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)) ) ).
% 163.65/163.56
% 163.65/163.56 fof(fact_sup__max,axiom,
% 163.65/163.56 ! [T_b] :
% 163.65/163.56 ( ( class_Lattices_Osemilattice__sup(T_b)
% 163.65/163.56 & class_Orderings_Olinorder(T_b) )
% 163.65/163.56 => c_Lattices_Osemilattice__sup__class_Osup(T_b) = c_Orderings_Oord__class_Omax(T_b) ) ).
% 163.65/163.56
% 163.65/163.56 fof(fact_inf__min,axiom,
% 163.65/163.56 ! [T_b] :
% 163.65/163.56 ( ( class_Lattices_Osemilattice__inf(T_b)
% 163.65/163.56 & class_Orderings_Olinorder(T_b) )
% 163.65/163.56 => c_Lattices_Osemilattice__inf__class_Oinf(T_b) = c_Orderings_Oord__class_Omin(T_b) ) ).
% 163.65/163.56
% 163.65/163.56 fof(fact_max__Suc__Suc,axiom,
% 163.65/163.56 ! [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)) ).
% 163.65/163.56
% 163.65/163.56 fof(fact_min__Suc__Suc,axiom,
% 163.65/163.56 ! [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)) ).
% 163.65/163.56
% 163.65/163.56 fof(fact_min__diff,axiom,
% 163.65/163.56 ! [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) ).
% 163.65/163.56
% 163.65/163.56 fof(fact_add__0__left,axiom,
% 163.65/163.56 ! [V_a,T_a] :
% 163.65/163.56 ( class_Groups_Omonoid__add(T_a)
% 163.65/163.56 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a) = V_a ) ).
% 163.65/163.56
% 163.65/163.56 fof(fact_add__0,axiom,
% 163.65/163.56 ! [V_a,T_a] :
% 163.65/163.56 ( class_Groups_Ocomm__monoid__add(T_a)
% 163.65/163.56 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a) = V_a ) ).
% 163.65/163.56
% 163.65/163.56 fof(fact_double__zero__sym,axiom,
% 163.65/163.56 ! [V_a_2,T_b] :
% 163.65/163.56 ( class_Groups_Olinordered__ab__group__add(T_b)
% 163.65/163.56 => ( c_Groups_Ozero__class_Ozero(T_b) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_a_2)
% 163.65/163.56 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 163.65/163.56
% 163.65/163.56 fof(fact_add__0__right,axiom,
% 163.65/163.56 ! [V_a,T_a] :
% 163.65/163.56 ( class_Groups_Omonoid__add(T_a)
% 163.65/163.56 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)) = V_a ) ).
% 163.65/163.56
% 163.65/163.56 fof(fact_add_Ocomm__neutral,axiom,
% 163.65/163.56 ! [V_a,T_a] :
% 163.65/163.56 ( class_Groups_Ocomm__monoid__add(T_a)
% 163.65/163.56 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)) = V_a ) ).
% 163.65/163.56
% 163.65/163.56 fof(fact_add__0__iff,axiom,
% 163.65/163.56 ! [V_a_2,V_b_2,T_b] :
% 163.65/163.56 ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(T_b)
% 163.65/163.56 => ( V_b_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_b_2),V_a_2)
% 163.65/163.56 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 163.65/163.56
% 163.65/163.56 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I6_J,axiom,
% 163.65/163.56 ! [V_a,T_a] :
% 163.65/163.56 ( class_Rings_Ocomm__semiring__1(T_a)
% 163.65/163.56 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)) = V_a ) ).
% 163.65/163.56
% 163.65/163.56 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I5_J,axiom,
% 163.65/163.56 ! [V_a,T_a] :
% 163.65/163.56 ( class_Rings_Ocomm__semiring__1(T_a)
% 163.65/163.56 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a) = V_a ) ).
% 163.65/163.56
% 163.65/163.56 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I10_J,axiom,
% 163.65/163.56 ! [V_a,T_a] :
% 163.65/163.56 ( class_Rings_Ocomm__semiring__1(T_a)
% 163.65/163.56 => 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) ) ).
% 163.65/163.56
% 163.65/163.56 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I9_J,axiom,
% 163.65/163.56 ! [V_a,T_a] :
% 163.65/163.56 ( class_Rings_Ocomm__semiring__1(T_a)
% 163.65/163.56 => 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) ) ).
% 163.65/163.56
% 163.65/163.56 fof(fact_divisors__zero,axiom,
% 163.65/163.56 ! [V_b,V_a,T_a] :
% 163.65/163.56 ( class_Rings_Ono__zero__divisors(T_a)
% 163.65/163.56 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b) = c_Groups_Ozero__class_Ozero(T_a)
% 163.65/163.56 => ( V_a = c_Groups_Ozero__class_Ozero(T_a)
% 163.65/163.56 | V_b = c_Groups_Ozero__class_Ozero(T_a) ) ) ) ).
% 163.65/163.56
% 163.65/163.56 fof(fact_no__zero__divisors,axiom,
% 163.65/163.56 ! [V_b,V_a,T_a] :
% 163.65/163.56 ( class_Rings_Ono__zero__divisors(T_a)
% 163.65/163.56 => ( V_a != c_Groups_Ozero__class_Ozero(T_a)
% 163.65/163.56 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 163.65/163.56 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b) != c_Groups_Ozero__class_Ozero(T_a) ) ) ) ).
% 163.65/163.56
% 163.65/163.56 fof(fact_mult__eq__0__iff,axiom,
% 163.65/163.56 ! [V_b_2,V_a_2,T_b] :
% 163.65/163.56 ( class_Rings_Oring__no__zero__divisors(T_b)
% 163.65/163.56 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_b_2) = c_Groups_Ozero__class_Ozero(T_b)
% 163.65/163.56 <=> ( V_a_2 = c_Groups_Ozero__class_Ozero(T_b)
% 163.65/163.56 | V_b_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ).
% 163.65/163.56
% 163.65/163.56 fof(fact_mult__zero__right,axiom,
% 163.65/163.56 ! [V_a,T_a] :
% 163.65/163.56 ( class_Rings_Omult__zero(T_a)
% 163.65/163.56 => 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) ) ).
% 163.65/163.56
% 163.65/163.56 fof(fact_mult__zero__left,axiom,
% 163.65/163.56 ! [V_a,T_a] :
% 163.65/163.56 ( class_Rings_Omult__zero(T_a)
% 163.65/163.56 => 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) ) ).
% 163.65/163.56
% 163.65/163.56 fof(fact_right__minus__eq,axiom,
% 163.65/163.56 ! [V_b_2,V_a_2,T_b] :
% 163.65/163.56 ( class_Groups_Ogroup__add(T_b)
% 163.65/163.56 => ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_a_2),V_b_2) = c_Groups_Ozero__class_Ozero(T_b)
% 163.65/163.56 <=> V_a_2 = V_b_2 ) ) ).
% 163.65/163.56
% 163.65/163.56 fof(fact_eq__iff__diff__eq__0,axiom,
% 163.65/163.56 ! [V_b_2,V_a_2,T_b] :
% 163.65/163.56 ( class_Groups_Oab__group__add(T_b)
% 163.65/163.56 => ( V_a_2 = V_b_2
% 163.65/163.56 <=> hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_a_2),V_b_2) = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 163.65/163.56
% 163.65/163.56 fof(fact_diff__self,axiom,
% 163.65/163.56 ! [V_a,T_a] :
% 163.65/163.56 ( class_Groups_Ogroup__add(T_a)
% 163.65/163.56 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a),V_a) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 163.65/163.56
% 163.65/163.56 fof(fact_diff__0__right,axiom,
% 163.65/163.56 ! [V_a,T_a] :
% 163.65/163.56 ( class_Groups_Ogroup__add(T_a)
% 163.65/163.56 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)) = V_a ) ).
% 163.65/163.56
% 163.65/163.56 fof(fact_one__neq__zero,axiom,
% 163.65/163.56 ! [T_a] :
% 163.65/163.56 ( class_Rings_Ozero__neq__one(T_a)
% 163.65/163.56 => c_Groups_Oone__class_Oone(T_a) != c_Groups_Ozero__class_Ozero(T_a) ) ).
% 163.65/163.56
% 163.65/163.56 fof(fact_zero__neq__one,axiom,
% 163.65/163.56 ! [T_a] :
% 163.65/163.56 ( class_Rings_Ozero__neq__one(T_a)
% 163.65/163.56 => c_Groups_Ozero__class_Ozero(T_a) != c_Groups_Oone__class_Oone(T_a) ) ).
% 163.65/163.56
% 163.65/163.56 fof(fact_minus__zero,axiom,
% 163.65/163.56 ! [T_a] :
% 163.65/163.56 ( class_Groups_Ogroup__add(T_a)
% 163.65/163.56 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Groups_Ozero__class_Ozero(T_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 163.65/163.56
% 163.65/163.56 fof(fact_neg__0__equal__iff__equal,axiom,
% 163.65/163.56 ! [V_a_2,T_b] :
% 163.65/163.56 ( class_Groups_Ogroup__add(T_b)
% 163.65/163.56 => ( c_Groups_Ozero__class_Ozero(T_b) = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2)
% 163.65/163.56 <=> c_Groups_Ozero__class_Ozero(T_b) = V_a_2 ) ) ).
% 163.65/163.56
% 163.65/163.56 fof(fact_equal__neg__zero,axiom,
% 163.65/163.56 ! [V_a_2,T_b] :
% 163.65/163.56 ( class_Groups_Olinordered__ab__group__add(T_b)
% 163.65/163.56 => ( V_a_2 = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2)
% 163.65/163.56 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 163.65/163.56
% 163.65/163.56 fof(fact_neg__equal__0__iff__equal,axiom,
% 163.65/163.56 ! [V_a_2,T_b] :
% 163.65/163.56 ( class_Groups_Ogroup__add(T_b)
% 163.65/163.56 => ( hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2) = c_Groups_Ozero__class_Ozero(T_b)
% 163.65/163.56 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 163.65/163.56
% 163.65/163.56 fof(fact_neg__equal__zero,axiom,
% 163.65/163.56 ! [V_a_2,T_b] :
% 163.65/163.56 ( class_Groups_Olinordered__ab__group__add(T_b)
% 163.65/163.56 => ( hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2) = V_a_2
% 163.65/163.56 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 163.65/163.56
% 163.65/163.56 fof(fact_Zero__not__Suc,axiom,
% 163.65/163.56 ! [V_m] : c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc,V_m) ).
% 163.65/163.56
% 163.65/163.56 fof(fact_nat_Osimps_I2_J,axiom,
% 163.65/163.56 ! [V_nat_H] : c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc,V_nat_H) ).
% 163.65/163.56
% 163.65/163.56 fof(fact_Suc__not__Zero,axiom,
% 163.65/163.56 ! [V_m] : hAPP(c_Nat_OSuc,V_m) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 163.65/163.56
% 163.65/163.56 fof(fact_nat_Osimps_I3_J,axiom,
% 163.65/163.56 ! [V_nat_H_1] : hAPP(c_Nat_OSuc,V_nat_H_1) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 163.65/163.56
% 163.65/163.56 fof(fact_Zero__neq__Suc,axiom,
% 163.65/163.56 ! [V_m] : c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc,V_m) ).
% 163.65/163.56
% 163.65/163.56 fof(fact_Suc__neq__Zero,axiom,
% 163.65/163.56 ! [V_m] : hAPP(c_Nat_OSuc,V_m) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 163.65/163.56
% 163.65/163.56 fof(fact_not__less0,axiom,
% 163.65/163.56 ! [V_n] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ).
% 163.65/163.56
% 163.65/163.56 fof(fact_neq0__conv,axiom,
% 163.65/163.56 ! [V_n_2] :
% 163.65/163.56 ( V_n_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 163.65/163.56 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n_2)) ) ).
% 163.65/163.56
% 163.65/163.56 fof(fact_less__nat__zero__code,axiom,
% 163.65/163.56 ! [V_n] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ).
% 163.65/163.56
% 163.65/163.56 fof(fact_gr__implies__not0,axiom,
% 163.65/163.56 ! [V_n,V_m] :
% 163.65/163.56 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 163.65/163.56 => V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 163.65/163.56
% 163.65/163.56 fof(fact_gr0I,axiom,
% 163.65/163.56 ! [V_n] :
% 163.65/163.56 ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 163.65/163.56 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) ) ).
% 163.65/163.56
% 163.65/163.56 fof(fact_Times__eq__cancel2,axiom,
% 163.65/163.56 ! [V_B_2,V_A_2,T_c,V_C_2,V_x_2,T_b] :
% 163.65/163.56 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_C_2))
% 163.65/163.56 => ( 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))
% 163.65/163.56 <=> V_A_2 = V_B_2 ) ) ).
% 163.65/163.56
% 163.65/163.56 fof(fact_plus__nat_Oadd__0,axiom,
% 163.65/163.56 ! [V_n] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n) = V_n ).
% 163.65/163.56
% 163.65/163.56 fof(fact_Nat_Oadd__0__right,axiom,
% 163.65/163.56 ! [V_m] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = V_m ).
% 163.65/163.56
% 163.65/163.56 fof(fact_add__is__0,axiom,
% 163.65/163.56 ! [V_n_2,V_m_2] :
% 163.65/163.56 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),V_n_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 163.65/163.56 <=> ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 163.65/163.56 & V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 163.65/163.56
% 163.65/163.56 fof(fact_add__eq__self__zero,axiom,
% 163.65/163.56 ! [V_n,V_m] :
% 163.65/163.56 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_n) = V_m
% 163.65/163.56 => V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 163.65/163.56
% 163.65/163.56 fof(fact_less__eq__nat_Osimps_I1_J,axiom,
% 163.65/163.56 ! [V_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) ).
% 163.65/163.56
% 163.65/163.56 fof(fact_le__0__eq,axiom,
% 163.65/163.56 ! [V_n_2] :
% 163.65/163.56 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n_2),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
% 163.65/163.56 <=> V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 163.65/163.56
% 163.65/163.56 fof(fact_diffs0__imp__equal,axiom,
% 163.65/163.56 ! [V_n,V_m] :
% 163.65/163.56 ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 163.65/163.56 => ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n),V_m) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 163.65/163.56 => V_m = V_n ) ) ).
% 163.65/163.56
% 163.65/163.56 fof(fact_diff__self__eq__0,axiom,
% 163.65/163.56 ! [V_m] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_m) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 163.65/163.56
% 163.65/163.56 fof(fact_minus__nat_Odiff__0,axiom,
% 163.65/163.56 ! [V_m] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = V_m ).
% 163.65/163.56
% 163.65/163.56 fof(fact_diff__0__eq__0,axiom,
% 163.65/163.56 ! [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) ).
% 163.65/163.56
% 163.65/163.56 fof(fact_mult__cancel2,axiom,
% 163.65/163.56 ! [V_n_2,V_k_2,V_m_2] :
% 163.65/163.56 ( 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)
% 163.65/163.56 <=> ( V_m_2 = V_n_2
% 163.65/163.56 | V_k_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 163.65/163.56
% 163.65/163.56 fof(fact_mult__cancel1,axiom,
% 163.65/163.56 ! [V_n_2,V_m_2,V_k_2] :
% 163.65/163.56 ( 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)
% 163.65/163.56 <=> ( V_m_2 = V_n_2
% 163.65/163.56 | V_k_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 163.65/163.56
% 163.65/163.56 fof(fact_mult__is__0,axiom,
% 163.65/163.56 ! [V_n_2,V_m_2] :
% 163.65/163.56 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m_2),V_n_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 163.65/163.56 <=> ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 163.65/163.56 | V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 163.65/163.56
% 163.65/163.56 fof(fact_mult__0__right,axiom,
% 163.65/163.56 ! [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) ).
% 163.65/163.56
% 163.65/163.56 fof(fact_mult__0,axiom,
% 163.65/163.56 ! [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) ).
% 163.65/163.56
% 163.65/163.56 fof(fact_nat__mult__eq__cancel__disj,axiom,
% 163.65/163.56 ! [V_n_2,V_m_2,V_k_2] :
% 163.65/163.56 ( 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)
% 163.65/163.56 <=> ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 163.65/163.56 | V_m_2 = V_n_2 ) ) ).
% 163.65/163.56
% 163.65/163.56 fof(fact_UN__Times__distrib,axiom,
% 163.65/163.56 ! [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))) ).
% 163.65/163.56
% 163.65/163.56 fof(fact_min__max_Ofun__left__comm__idem__sup,axiom,
% 163.65/163.56 ! [T_b] :
% 163.65/163.56 ( class_Orderings_Olinorder(T_b)
% 163.65/163.56 => c_Finite__Set_Ofun__left__comm__idem(T_b,T_b,c_Orderings_Oord__class_Omax(T_b)) ) ).
% 163.65/163.56
% 163.65/163.56 fof(fact_min__max_Ofun__left__comm__idem__inf,axiom,
% 163.65/163.56 ! [T_b] :
% 163.65/163.56 ( class_Orderings_Olinorder(T_b)
% 163.65/163.56 => c_Finite__Set_Ofun__left__comm__idem(T_b,T_b,c_Orderings_Oord__class_Omin(T_b)) ) ).
% 163.65/163.56
% 163.65/163.56 fof(fact_Sigma__Union,axiom,
% 163.65/163.56 ! [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)) ).
% 163.65/163.56
% 163.65/163.56 fof(fact_Sigma__empty1,axiom,
% 163.65/163.56 ! [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)) ).
% 163.65/163.56
% 163.65/163.56 fof(fact_nat__minus__add__max,axiom,
% 163.65/163.56 ! [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) ).
% 163.65/163.56
% 163.65/163.56 fof(fact_zero__le__double__add__iff__zero__le__single__add,axiom,
% 163.65/163.56 ! [V_a_2,T_b] :
% 163.65/163.56 ( class_Groups_Olinordered__ab__group__add(T_b)
% 163.65/163.56 => ( 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)))
% 163.65/163.56 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ).
% 163.65/163.56
% 163.65/163.56 fof(fact_double__add__le__zero__iff__single__add__le__zero,axiom,
% 163.65/163.56 ! [V_a_2,T_b] :
% 163.65/163.56 ( class_Groups_Olinordered__ab__group__add(T_b)
% 163.65/163.56 => ( 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)))
% 163.65/163.56 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ).
% 163.65/163.56
% 163.65/163.56 fof(fact_add__nonneg__nonneg,axiom,
% 163.65/163.56 ! [V_b,V_a,T_a] :
% 163.65/163.56 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 163.65/163.56 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 163.65/163.56 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 163.65/163.56 => 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))) ) ) ) ).
% 163.65/163.56
% 163.65/163.56 fof(fact_add__nonneg__eq__0__iff,axiom,
% 163.65/163.56 ! [V_y_2,V_x_2,T_b] :
% 163.65/163.56 ( class_Groups_Oordered__comm__monoid__add(T_b)
% 163.65/163.56 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_x_2))
% 163.65/163.56 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_y_2))
% 163.65/163.56 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_x_2),V_y_2) = c_Groups_Ozero__class_Ozero(T_b)
% 163.65/163.56 <=> ( V_x_2 = c_Groups_Ozero__class_Ozero(T_b)
% 163.65/163.56 & V_y_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ) ) ).
% 163.65/163.56
% 163.65/163.56 fof(fact_add__increasing,axiom,
% 163.65/163.56 ! [V_c,V_b,V_a,T_a] :
% 163.65/163.56 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 163.65/163.56 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 163.65/163.56 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_c))
% 163.65/163.56 => 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))) ) ) ) ).
% 163.65/163.56
% 163.65/163.56 fof(fact_add__increasing2,axiom,
% 163.65/163.56 ! [V_a,V_b,V_c,T_a] :
% 163.65/163.56 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 163.65/163.56 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 163.65/163.56 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_a))
% 163.65/163.56 => 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))) ) ) ) ).
% 163.65/163.56
% 163.65/163.56 fof(fact_add__nonpos__nonpos,axiom,
% 163.65/163.56 ! [V_b,V_a,T_a] :
% 163.65/163.56 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 163.65/163.56 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 163.65/163.56 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a)))
% 163.65/163.56 => 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))) ) ) ) ).
% 163.65/163.56
% 163.65/163.56 fof(fact_zero__le__square,axiom,
% 163.65/163.56 ! [V_a,T_a] :
% 163.65/163.56 ( class_Rings_Olinordered__ring(T_a)
% 163.65/163.56 => 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))) ) ).
% 163.65/163.56
% 163.65/163.56 fof(fact_zero__le__mult__iff,axiom,
% 163.65/163.56 ! [V_b_2,V_a_2,T_b] :
% 163.65/163.56 ( class_Rings_Olinordered__ring__strict(T_b)
% 163.65/163.56 => ( 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)))
% 163.65/163.56 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2))
% 163.65/163.56 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_b_2)) )
% 163.65/163.56 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b)))
% 163.65/163.56 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ) ) ).
% 163.65/163.56
% 163.65/163.56 fof(fact_mult__le__0__iff,axiom,
% 163.65/163.56 ! [V_b_2,V_a_2,T_b] :
% 163.65/163.56 ( class_Rings_Olinordered__ring__strict(T_b)
% 163.65/163.56 => ( 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)))
% 163.65/163.56 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2))
% 163.65/163.56 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),c_Groups_Ozero__class_Ozero(T_b))) )
% 163.65/163.56 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b)))
% 163.65/163.56 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_b_2)) ) ) ) ) ).
% 163.65/163.56
% 163.65/163.56 fof(fact_mult__nonneg__nonneg,axiom,
% 163.65/163.56 ! [V_b,V_a,T_a] :
% 163.65/163.56 ( class_Rings_Oordered__cancel__semiring(T_a)
% 163.65/163.56 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 163.65/163.56 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 163.65/163.56 => 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))) ) ) ) ).
% 163.65/163.56
% 163.65/163.56 fof(fact_mult__nonneg__nonpos,axiom,
% 163.65/163.56 ! [V_b,V_a,T_a] :
% 163.65/163.56 ( class_Rings_Oordered__cancel__semiring(T_a)
% 163.65/163.56 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 163.65/163.56 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a)))
% 163.65/163.56 => 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))) ) ) ) ).
% 163.65/163.56
% 163.65/163.56 fof(fact_mult__nonneg__nonpos2,axiom,
% 163.65/163.56 ! [V_b,V_a,T_a] :
% 163.65/163.56 ( class_Rings_Oordered__cancel__semiring(T_a)
% 163.65/163.56 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 163.65/163.56 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a)))
% 163.65/163.56 => 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))) ) ) ) ).
% 163.65/163.56
% 163.65/163.56 fof(fact_mult__nonpos__nonneg,axiom,
% 163.65/163.56 ! [V_b,V_a,T_a] :
% 163.65/163.56 ( class_Rings_Oordered__cancel__semiring(T_a)
% 163.65/163.56 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 163.65/163.56 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 163.65/163.56 => 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))) ) ) ) ).
% 163.65/163.56
% 163.65/163.56 fof(fact_mult__nonpos__nonpos,axiom,
% 163.65/163.56 ! [V_b,V_a,T_a] :
% 163.65/163.56 ( class_Rings_Oordered__ring(T_a)
% 163.65/163.56 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 163.65/163.56 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a)))
% 163.65/163.56 => 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))) ) ) ) ).
% 163.65/163.56
% 163.65/163.56 fof(fact_mult__right__mono,axiom,
% 163.65/163.56 ! [V_c,V_b,V_a,T_a] :
% 163.65/163.56 ( class_Rings_Oordered__semiring(T_a)
% 163.65/163.56 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 163.65/163.56 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 163.65/163.56 => 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))) ) ) ) ).
% 163.65/163.56
% 163.65/163.56 fof(fact_mult__left__mono,axiom,
% 163.65/163.56 ! [V_c,V_b,V_a,T_a] :
% 163.65/163.56 ( class_Rings_Oordered__semiring(T_a)
% 163.65/163.56 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 163.65/163.56 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 163.65/163.56 => 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))) ) ) ) ).
% 163.65/163.56
% 163.65/163.56 fof(fact_comm__mult__left__mono,axiom,
% 163.65/163.56 ! [V_c,V_b,V_a,T_a] :
% 163.65/163.56 ( class_Rings_Oordered__comm__semiring(T_a)
% 163.65/163.56 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 163.65/163.56 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 163.65/163.56 => 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))) ) ) ) ).
% 163.65/163.56
% 163.65/163.56 fof(fact_mult__right__mono__neg,axiom,
% 163.65/163.56 ! [V_c,V_a,V_b,T_a] :
% 163.65/163.56 ( class_Rings_Oordered__ring(T_a)
% 163.65/163.56 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_a))
% 163.65/163.56 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a)))
% 163.65/163.56 => 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))) ) ) ) ).
% 163.65/163.56
% 163.65/163.56 fof(fact_mult__left__mono__neg,axiom,
% 163.65/163.56 ! [V_c,V_a,V_b,T_a] :
% 163.65/163.56 ( class_Rings_Oordered__ring(T_a)
% 163.65/163.56 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_a))
% 163.65/163.56 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a)))
% 163.65/163.56 => 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))) ) ) ) ).
% 163.65/163.56
% 163.65/163.56 fof(fact_mult__mono_H,axiom,
% 163.65/163.56 ! [V_d,V_c,V_b,V_a,T_a] :
% 163.65/163.56 ( class_Rings_Oordered__semiring(T_a)
% 163.65/163.56 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 163.65/163.56 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_d))
% 163.65/163.56 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 163.65/163.56 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 163.65/163.56 => 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))) ) ) ) ) ) ).
% 163.65/163.56
% 163.65/163.56 fof(fact_mult__mono,axiom,
% 163.65/163.56 ! [V_d,V_c,V_b,V_a,T_a] :
% 163.65/163.56 ( class_Rings_Oordered__semiring(T_a)
% 163.65/163.56 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 163.65/163.56 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_d))
% 163.65/163.56 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 163.65/163.56 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 163.65/163.56 => 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))) ) ) ) ) ) ).
% 163.65/163.56
% 163.65/163.56 fof(fact_split__mult__pos__le,axiom,
% 163.65/163.56 ! [V_b,V_a,T_a] :
% 163.65/163.56 ( class_Rings_Oordered__ring(T_a)
% 163.65/163.56 => ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 163.65/163.56 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) )
% 163.65/163.56 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 163.65/163.56 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a))) ) )
% 163.65/163.56 => 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))) ) ) ).
% 163.65/163.56
% 163.65/163.56 fof(fact_split__mult__neg__le,axiom,
% 163.65/163.56 ! [V_b,V_a,T_a] :
% 163.65/163.56 ( class_Rings_Oordered__cancel__semiring(T_a)
% 163.65/163.56 => ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 163.65/163.56 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a))) )
% 163.65/163.56 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 163.65/163.56 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) ) )
% 163.65/163.56 => 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))) ) ) ).
% 163.65/163.56
% 163.65/163.56 fof(fact_pos__add__strict,axiom,
% 163.65/163.56 ! [V_c,V_b,V_a,T_a] :
% 163.65/163.56 ( class_Rings_Olinordered__semidom(T_a)
% 163.65/163.56 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 163.65/163.56 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_c))
% 163.65/163.56 => 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))) ) ) ) ).
% 163.65/163.56
% 163.65/163.56 fof(fact_add__neg__neg,axiom,
% 163.65/163.56 ! [V_b,V_a,T_a] :
% 163.65/163.56 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 163.65/163.56 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 163.65/163.56 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a)))
% 163.65/163.56 => 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))) ) ) ) ).
% 163.65/163.56
% 163.65/163.56 fof(fact_add__pos__pos,axiom,
% 163.65/163.56 ! [V_b,V_a,T_a] :
% 163.65/163.56 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 163.65/163.56 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 163.65/163.56 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 163.65/163.56 => 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))) ) ) ) ).
% 163.65/163.56
% 163.65/163.56 fof(fact_double__add__less__zero__iff__single__add__less__zero,axiom,
% 163.65/163.56 ! [V_a_2,T_b] :
% 163.65/163.56 ( class_Groups_Olinordered__ab__group__add(T_b)
% 163.65/163.56 => ( 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)))
% 163.65/163.56 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ).
% 163.65/163.56
% 163.65/163.56 fof(fact_zero__less__double__add__iff__zero__less__single__add,axiom,
% 163.65/163.56 ! [V_a_2,T_b] :
% 163.65/163.56 ( class_Groups_Olinordered__ab__group__add(T_b)
% 163.65/163.56 => ( 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)))
% 163.65/163.56 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ).
% 163.65/163.56
% 163.65/163.56 fof(fact_mult__strict__left__mono__neg,axiom,
% 163.65/163.56 ! [V_c,V_a,V_b,T_a] :
% 163.65/163.56 ( class_Rings_Olinordered__ring__strict(T_a)
% 163.65/163.56 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a))
% 163.65/163.56 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a)))
% 163.65/163.56 => 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))) ) ) ) ).
% 163.65/163.56
% 163.65/163.56 fof(fact_mult__strict__right__mono__neg,axiom,
% 163.65/163.56 ! [V_c,V_a,V_b,T_a] :
% 163.65/163.56 ( class_Rings_Olinordered__ring__strict(T_a)
% 163.65/163.56 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a))
% 163.65/163.56 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a)))
% 163.65/163.56 => 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))) ) ) ) ).
% 163.65/163.56
% 163.65/163.56 fof(fact_comm__mult__strict__left__mono,axiom,
% 163.65/163.56 ! [V_c,V_b,V_a,T_a] :
% 163.65/163.56 ( class_Rings_Olinordered__comm__semiring__strict(T_a)
% 163.65/163.56 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 163.65/163.56 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 163.65/163.56 => 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))) ) ) ) ).
% 163.65/163.56
% 163.65/163.56 fof(fact_mult__strict__left__mono,axiom,
% 163.65/163.56 ! [V_c,V_b,V_a,T_a] :
% 163.65/163.56 ( class_Rings_Olinordered__semiring__strict(T_a)
% 163.65/163.56 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 163.65/163.56 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 163.65/163.56 => 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))) ) ) ) ).
% 163.65/163.56
% 163.65/163.56 fof(fact_mult__strict__right__mono,axiom,
% 163.65/163.56 ! [V_c,V_b,V_a,T_a] :
% 163.65/163.56 ( class_Rings_Olinordered__semiring__strict(T_a)
% 163.65/163.56 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 163.65/163.56 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 163.65/163.56 => 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))) ) ) ) ).
% 163.65/163.56
% 163.65/163.56 fof(fact_mult__neg__neg,axiom,
% 163.65/163.56 ! [V_b,V_a,T_a] :
% 163.65/163.56 ( class_Rings_Olinordered__ring__strict(T_a)
% 163.65/163.56 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 163.65/163.56 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a)))
% 163.65/163.56 => 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))) ) ) ) ).
% 163.65/163.56
% 163.65/163.56 fof(fact_mult__neg__pos,axiom,
% 163.65/163.56 ! [V_b,V_a,T_a] :
% 163.65/163.56 ( class_Rings_Olinordered__semiring__strict(T_a)
% 163.65/163.56 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 163.65/163.56 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 163.65/163.56 => 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))) ) ) ) ).
% 163.65/163.56
% 163.65/163.56 fof(fact_mult__less__cancel__left__neg,axiom,
% 163.65/163.56 ! [V_b_2,V_a_2,V_c_2,T_b] :
% 163.65/163.56 ( class_Rings_Olinordered__ring__strict(T_b)
% 163.65/163.56 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 163.65/163.56 => ( 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)))
% 163.65/163.56 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),V_a_2)) ) ) ) ).
% 163.65/163.56
% 163.65/163.56 fof(fact_zero__less__mult__pos2,axiom,
% 163.65/163.56 ! [V_a,V_b,T_a] :
% 163.65/163.56 ( class_Rings_Olinordered__semiring__strict(T_a)
% 163.65/163.56 => ( 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)))
% 163.65/163.56 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 163.65/163.56 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) ) ) ) ).
% 163.65/163.56
% 163.65/163.56 fof(fact_zero__less__mult__pos,axiom,
% 163.65/163.56 ! [V_b,V_a,T_a] :
% 163.65/163.56 ( class_Rings_Olinordered__semiring__strict(T_a)
% 163.65/163.56 => ( 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)))
% 163.65/163.56 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 163.65/163.56 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) ) ) ) ).
% 163.65/163.56
% 163.65/163.56 fof(fact_mult__pos__neg2,axiom,
% 163.65/163.56 ! [V_b,V_a,T_a] :
% 163.65/163.56 ( class_Rings_Olinordered__semiring__strict(T_a)
% 163.65/163.56 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 163.65/163.56 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a)))
% 163.65/163.56 => 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))) ) ) ) ).
% 163.65/163.56
% 163.65/163.56 fof(fact_mult__pos__neg,axiom,
% 163.65/163.56 ! [V_b,V_a,T_a] :
% 163.65/163.56 ( class_Rings_Olinordered__semiring__strict(T_a)
% 163.65/163.56 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 163.65/163.56 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a)))
% 163.65/163.56 => 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))) ) ) ) ).
% 163.65/163.56
% 163.65/163.56 fof(fact_mult__pos__pos,axiom,
% 163.65/163.56 ! [V_b,V_a,T_a] :
% 163.65/163.56 ( class_Rings_Olinordered__semiring__strict(T_a)
% 163.65/163.56 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 163.65/163.56 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 163.65/163.56 => 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))) ) ) ) ).
% 163.65/163.56
% 163.65/163.56 fof(fact_mult__less__cancel__left__pos,axiom,
% 163.65/163.56 ! [V_b_2,V_a_2,V_c_2,T_b] :
% 163.65/163.56 ( class_Rings_Olinordered__ring__strict(T_b)
% 163.65/163.56 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 163.65/163.56 => ( 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)))
% 163.65/163.56 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2)) ) ) ) ).
% 163.65/163.56
% 163.65/163.56 fof(fact_mult__less__cancel__left__disj,axiom,
% 163.65/163.56 ! [V_b_2,V_a_2,V_c_2,T_b] :
% 163.65/163.56 ( class_Rings_Olinordered__ring__strict(T_b)
% 163.65/163.56 => ( 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)))
% 163.65/163.56 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 163.65/163.56 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2)) )
% 163.65/163.56 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 163.65/163.56 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),V_a_2)) ) ) ) ) ).
% 163.65/163.56
% 163.65/163.56 fof(fact_mult__less__cancel__right__disj,axiom,
% 163.65/163.56 ! [V_b_2,V_c_2,V_a_2,T_b] :
% 163.65/163.56 ( class_Rings_Olinordered__ring__strict(T_b)
% 163.65/163.56 => ( 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)))
% 163.65/163.56 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 163.65/163.56 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2)) )
% 163.65/163.56 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 163.65/163.56 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),V_a_2)) ) ) ) ) ).
% 163.65/163.56
% 163.65/163.56 fof(fact_not__square__less__zero,axiom,
% 163.65/163.56 ! [V_a,T_a] :
% 163.65/163.56 ( class_Rings_Olinordered__ring(T_a)
% 163.65/163.56 => ~ 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))) ) ).
% 163.65/163.56
% 163.65/163.56 fof(fact_le__iff__diff__le__0,axiom,
% 163.65/163.56 ! [V_b_2,V_a_2,T_b] :
% 163.65/163.56 ( class_Groups_Oordered__ab__group__add(T_b)
% 163.65/163.56 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2))
% 163.65/163.56 <=> 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))) ) ) ).
% 163.65/163.56
% 163.65/163.56 fof(fact_less__iff__diff__less__0,axiom,
% 163.65/163.56 ! [V_b_2,V_a_2,T_b] :
% 163.65/163.56 ( class_Groups_Oordered__ab__group__add(T_b)
% 163.65/163.56 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2))
% 163.65/163.56 <=> 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))) ) ) ).
% 163.65/163.56
% 163.65/163.56 fof(fact_add__scale__eq__noteq,axiom,
% 163.65/163.56 ! [V_d,V_c,V_b,V_a,V_r,T_a] :
% 163.65/163.56 ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(T_a)
% 163.65/163.56 => ( V_r != c_Groups_Ozero__class_Ozero(T_a)
% 163.65/163.56 => ( ( V_a = V_b
% 163.65/163.56 & V_c != V_d )
% 163.65/163.56 => 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)) ) ) ) ).
% 163.65/163.56
% 163.65/163.56 fof(fact_sum__squares__eq__zero__iff,axiom,
% 163.65/163.56 ! [V_y_2,V_x_2,T_b] :
% 163.65/163.56 ( class_Rings_Olinordered__ring__strict(T_b)
% 163.65/163.56 => ( 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)
% 163.65/163.56 <=> ( V_x_2 = c_Groups_Ozero__class_Ozero(T_b)
% 163.65/163.56 & V_y_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ).
% 163.65/163.56
% 163.65/163.56 fof(fact_zero__le__one,axiom,
% 163.65/163.56 ! [T_a] :
% 163.65/163.56 ( class_Rings_Olinordered__semidom(T_a)
% 163.65/163.56 => 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))) ) ).
% 163.65/163.56
% 163.65/163.56 fof(fact_not__one__le__zero,axiom,
% 163.65/163.56 ! [T_a] :
% 163.65/163.56 ( class_Rings_Olinordered__semidom(T_a)
% 163.65/163.56 => ~ 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))) ) ).
% 163.65/163.56
% 163.65/163.56 fof(fact_zero__less__one,axiom,
% 163.65/163.56 ! [T_a] :
% 163.65/163.56 ( class_Rings_Olinordered__semidom(T_a)
% 163.65/163.56 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),c_Groups_Oone__class_Oone(T_a))) ) ).
% 163.65/163.56
% 163.65/163.56 fof(fact_not__one__less__zero,axiom,
% 163.65/163.56 ! [T_a] :
% 163.65/163.56 ( class_Rings_Olinordered__semidom(T_a)
% 163.65/163.56 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),c_Groups_Ozero__class_Ozero(T_a))) ) ).
% 163.65/163.56
% 163.65/163.56 fof(fact_minus__le__self__iff,axiom,
% 163.65/163.56 ! [V_a_2,T_b] :
% 163.65/163.56 ( class_Groups_Olinordered__ab__group__add(T_b)
% 163.65/163.56 => ( 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))
% 163.65/163.56 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ).
% 163.65/163.56
% 163.65/163.56 fof(fact_neg__le__0__iff__le,axiom,
% 163.65/163.56 ! [V_a_2,T_b] :
% 163.65/163.56 ( class_Groups_Oordered__ab__group__add(T_b)
% 163.65/163.56 => ( 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)))
% 163.65/163.56 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ).
% 163.65/163.56
% 163.65/163.56 fof(fact_le__minus__self__iff,axiom,
% 163.65/163.56 ! [V_a_2,T_b] :
% 163.65/163.56 ( class_Groups_Olinordered__ab__group__add(T_b)
% 163.65/163.56 => ( 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)))
% 163.65/163.56 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ).
% 163.65/163.56
% 163.65/163.56 fof(fact_neg__0__le__iff__le,axiom,
% 163.65/163.56 ! [V_a_2,T_b] :
% 163.65/163.56 ( class_Groups_Oordered__ab__group__add(T_b)
% 163.65/163.56 => ( 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)))
% 163.65/163.56 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ).
% 163.65/163.56
% 163.65/163.56 fof(fact_neg__less__nonneg,axiom,
% 163.65/163.56 ! [V_a_2,T_b] :
% 163.65/163.56 ( class_Groups_Olinordered__ab__group__add(T_b)
% 163.65/163.56 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2)),V_a_2))
% 163.65/163.56 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ).
% 163.65/163.56
% 163.65/163.56 fof(fact_neg__less__0__iff__less,axiom,
% 163.65/163.56 ! [V_a_2,T_b] :
% 163.65/163.56 ( class_Groups_Oordered__ab__group__add(T_b)
% 163.65/163.56 => ( 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)))
% 163.65/163.56 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ).
% 163.65/163.56
% 163.65/163.56 fof(fact_neg__0__less__iff__less,axiom,
% 163.65/163.56 ! [V_a_2,T_b] :
% 163.65/163.56 ( class_Groups_Oordered__ab__group__add(T_b)
% 163.65/163.56 => ( 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)))
% 163.65/163.56 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ).
% 163.65/163.56
% 163.65/163.56 fof(fact_less__minus__self__iff,axiom,
% 163.65/163.56 ! [V_a_2,T_b] :
% 163.65/163.56 ( class_Rings_Olinordered__idom(T_b)
% 163.65/163.56 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2)))
% 163.65/163.56 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ).
% 163.65/163.56
% 163.65/163.56 fof(fact_card__cartesian__product,axiom,
% 163.65/163.56 ! [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)) ).
% 163.65/163.56
% 163.65/163.56 fof(fact_Sigma__empty2,axiom,
% 163.65/163.56 ! [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)) ).
% 163.65/163.56
% 163.65/163.56 fof(fact_Times__empty,axiom,
% 163.65/163.56 ! [V_B_2,V_A_2,T_c,T_b] :
% 163.65/163.56 ( 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))
% 163.65/163.56 <=> ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.65/163.56 | V_B_2 = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ) ) ).
% 163.65/163.56
% 163.65/163.56 fof(fact_right__minus,axiom,
% 163.65/163.56 ! [V_a,T_a] :
% 163.65/163.56 ( class_Groups_Ogroup__add(T_a)
% 163.65/163.56 => 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) ) ).
% 163.65/163.56
% 163.65/163.56 fof(fact_eq__neg__iff__add__eq__0,axiom,
% 163.65/163.56 ! [V_b_2,V_a_2,T_b] :
% 163.65/163.56 ( class_Groups_Ogroup__add(T_b)
% 163.65/163.56 => ( V_a_2 = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_b_2)
% 163.65/163.56 <=> hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_b_2) = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 163.65/163.56
% 163.65/163.56 fof(fact_left__minus,axiom,
% 163.65/163.56 ! [V_a,T_a] :
% 163.65/163.56 ( class_Groups_Ogroup__add(T_a)
% 163.65/163.56 => 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) ) ).
% 163.65/163.56
% 163.65/163.56 fof(fact_ab__left__minus,axiom,
% 163.65/163.56 ! [V_a,T_a] :
% 163.65/163.56 ( class_Groups_Oab__group__add(T_a)
% 163.65/163.56 => 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) ) ).
% 163.65/163.56
% 163.65/163.56 fof(fact_minus__unique,axiom,
% 163.65/163.56 ! [V_b,V_a,T_a] :
% 163.65/163.56 ( class_Groups_Ogroup__add(T_a)
% 163.65/163.56 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b) = c_Groups_Ozero__class_Ozero(T_a)
% 163.65/163.56 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a) = V_b ) ) ).
% 163.65/163.56
% 163.65/163.56 fof(fact_diff__0,axiom,
% 163.65/163.56 ! [V_a,T_a] :
% 163.65/163.56 ( class_Groups_Ogroup__add(T_a)
% 163.65/163.56 => 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) ) ).
% 163.65/163.56
% 163.65/163.56 fof(fact_Compl__Times__UNIV2,axiom,
% 163.65/163.56 ! [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)))) ).
% 163.65/163.56
% 163.65/163.56 fof(fact_Compl__Times__UNIV1,axiom,
% 163.65/163.56 ! [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))) ).
% 163.65/163.56
% 163.65/163.56 fof(fact_Sigma__Un__distrib1,axiom,
% 163.65/163.56 ! [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)) ).
% 163.65/163.56
% 163.65/163.56 fof(fact_Times__Un__distrib1,axiom,
% 163.65/163.56 ! [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))) ).
% 163.65/163.56
% 163.65/163.56 fof(fact_Sigma__Un__distrib2,axiom,
% 163.65/163.56 ! [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)) ).
% 163.65/163.56
% 163.65/163.56 fof(fact_less__Suc__eq__0__disj,axiom,
% 163.65/163.56 ! [V_n_2,V_m_2] :
% 163.65/163.56 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),hAPP(c_Nat_OSuc,V_n_2)))
% 163.65/163.56 <=> ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 163.65/163.56 | ? [B_j] :
% 163.65/163.56 ( V_m_2 = hAPP(c_Nat_OSuc,B_j)
% 163.65/163.56 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_j),V_n_2)) ) ) ) ).
% 163.65/163.56
% 163.65/163.56 fof(fact_less__Suc0,axiom,
% 163.65/163.56 ! [V_n_2] :
% 163.65/163.56 ( 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))))
% 163.65/163.56 <=> V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 163.65/163.56
% 163.65/163.56 fof(fact_gr0__conv__Suc,axiom,
% 163.65/163.56 ! [V_n_2] :
% 163.65/163.56 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n_2))
% 163.65/163.56 <=> ? [B_m] : V_n_2 = hAPP(c_Nat_OSuc,B_m) ) ).
% 163.65/163.56
% 163.65/163.56 fof(fact_one__is__add,axiom,
% 163.65/163.56 ! [V_n_2,V_m_2] :
% 163.65/163.56 ( 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)
% 163.65/163.56 <=> ( ( V_m_2 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 163.65/163.56 & V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 163.65/163.56 | ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 163.65/163.56 & V_n_2 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ) ) ) ).
% 163.65/163.56
% 163.65/163.56 fof(fact_add__is__1,axiom,
% 163.65/163.56 ! [V_n_2,V_m_2] :
% 163.65/163.56 ( 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))
% 163.65/163.56 <=> ( ( V_m_2 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 163.65/163.56 & V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 163.65/163.56 | ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 163.65/163.56 & V_n_2 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ) ) ) ).
% 163.65/163.56
% 163.65/163.56 fof(fact_add__gr__0,axiom,
% 163.65/163.56 ! [V_n_2,V_m_2] :
% 163.65/163.56 ( 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)))
% 163.65/163.56 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m_2))
% 163.65/163.56 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n_2)) ) ) ).
% 163.65/163.56
% 163.65/163.56 fof(fact_rel__comp__subset__Sigma,axiom,
% 163.65/163.56 ! [V_C_2,V_s_2,T_d,V_B_2,V_A_2,V_r_2,T_c,T_b] :
% 163.65/163.56 ( 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))))
% 163.65/163.56 => ( 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))))
% 163.65/163.56 => 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)))) ) ) ).
% 163.65/163.56
% 163.65/163.56 fof(fact_card_Oempty,axiom,
% 163.65/163.56 ! [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) ).
% 163.65/163.56
% 163.65/163.56 fof(fact_card__infinite,axiom,
% 163.65/163.56 ! [V_A_2,T_b] :
% 163.65/163.56 ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.65/163.56 => hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 163.65/163.56
% 163.65/163.56 fof(fact_mult__eq__1__iff,axiom,
% 163.65/163.56 ! [V_n_2,V_m_2] :
% 163.65/163.56 ( 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))
% 163.65/163.56 <=> ( V_m_2 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 163.65/163.56 & V_n_2 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ) ) ).
% 163.65/163.56
% 163.65/163.56 fof(fact_swap__product,axiom,
% 163.65/163.56 ! [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)) ).
% 163.65/163.56
% 163.65/163.56 fof(fact_diff__less,axiom,
% 163.65/163.56 ! [V_m,V_n] :
% 163.65/163.56 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 163.65/163.56 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m))
% 163.65/163.56 => 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)) ) ) ).
% 163.65/163.56
% 163.65/163.56 fof(fact_zero__less__diff,axiom,
% 163.65/163.56 ! [V_m_2,V_n_2] :
% 163.65/163.56 ( 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)))
% 163.65/163.56 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ).
% 163.65/163.56
% 163.65/163.56 fof(fact_nat__0__less__mult__iff,axiom,
% 163.65/163.56 ! [V_n_2,V_m_2] :
% 163.65/163.56 ( 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)))
% 163.65/163.56 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m_2))
% 163.65/163.56 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n_2)) ) ) ).
% 163.65/163.56
% 163.65/163.56 fof(fact_mult__less__cancel1,axiom,
% 163.65/163.56 ! [V_n_2,V_m_2,V_k_2] :
% 163.65/163.56 ( 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)))
% 163.65/163.56 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2))
% 163.65/163.56 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ) ).
% 163.65/163.56
% 163.65/163.56 fof(fact_mult__less__cancel2,axiom,
% 163.65/163.56 ! [V_n_2,V_k_2,V_m_2] :
% 163.65/163.56 ( 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)))
% 163.65/163.56 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2))
% 163.65/163.56 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ) ).
% 163.65/163.56
% 163.65/163.56 fof(fact_mult__less__mono1,axiom,
% 163.65/163.56 ! [V_k,V_j,V_i] :
% 163.65/163.56 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 163.65/163.56 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k))
% 163.65/163.56 => 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))) ) ) ).
% 163.65/163.56
% 163.65/163.56 fof(fact_mult__less__mono2,axiom,
% 163.65/163.56 ! [V_k,V_j,V_i] :
% 163.65/163.56 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 163.65/163.56 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k))
% 163.65/163.56 => 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))) ) ) ).
% 163.65/163.56
% 163.65/163.56 fof(fact_nat__mult__eq__cancel1,axiom,
% 163.65/163.56 ! [V_n_2,V_m_2,V_k_2] :
% 163.65/163.56 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2))
% 163.65/163.56 => ( 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)
% 163.65/163.56 <=> V_m_2 = V_n_2 ) ) ).
% 163.65/163.56
% 163.65/163.56 fof(fact_nat__mult__less__cancel1,axiom,
% 163.65/163.56 ! [V_n_2,V_m_2,V_k_2] :
% 163.65/163.56 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2))
% 163.65/163.56 => ( 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)))
% 163.65/163.56 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ) ).
% 163.65/163.56
% 163.65/163.56 fof(fact_diff__add__0,axiom,
% 163.65/163.56 ! [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) ).
% 163.65/163.56
% 163.65/163.56 fof(fact_finite__cartesian__product,axiom,
% 163.65/163.56 ! [V_B_2,T_c,V_A_2,T_b] :
% 163.65/163.56 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.65/163.56 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2))
% 163.65/163.56 => 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)))) ) ) ).
% 163.65/163.56
% 163.65/163.56 fof(fact_diff__is__0__eq,axiom,
% 163.65/163.56 ! [V_n_2,V_m_2] :
% 163.65/163.56 ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m_2),V_n_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 163.65/163.56 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ).
% 163.65/163.56
% 163.65/163.56 fof(fact_diff__is__0__eq_H,axiom,
% 163.65/163.56 ! [V_n,V_m] :
% 163.65/163.56 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 163.65/163.56 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 163.65/163.56
% 163.65/163.56 fof(fact_equiv__type,axiom,
% 163.65/163.56 ! [V_r_2,V_A_2,T_b] :
% 163.65/163.56 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 163.65/163.56 => 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)))) ) ).
% 163.65/163.56
% 163.65/163.56 fof(fact_One__nat__def,axiom,
% 163.65/163.56 c_Groups_Oone__class_Oone(tc_Nat_Onat) = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ).
% 163.65/163.56
% 163.65/163.56 fof(fact_Sigma__Int__distrib1,axiom,
% 163.65/163.56 ! [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)) ).
% 163.65/163.56
% 163.65/163.56 fof(fact_Times__Int__distrib1,axiom,
% 163.65/163.56 ! [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))) ).
% 163.65/163.56
% 163.65/163.56 fof(fact_Sigma__Int__distrib2,axiom,
% 163.65/163.56 ! [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)) ).
% 163.65/163.56
% 163.65/163.56 fof(fact_mult__eq__self__implies__10,axiom,
% 163.65/163.56 ! [V_n,V_m] :
% 163.65/163.56 ( V_m = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_n)
% 163.65/163.56 => ( V_n = c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 163.65/163.56 | V_m = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 163.65/163.56
% 163.65/163.56 fof(fact_Id__on__subset__Times,axiom,
% 163.65/163.56 ! [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)))) ).
% 163.65/163.56
% 163.65/163.56 fof(fact_Sigma__Diff__distrib1,axiom,
% 163.65/163.56 ! [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)) ).
% 163.65/163.56
% 163.65/163.56 fof(fact_Times__Diff__distrib1,axiom,
% 163.65/163.56 ! [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))) ).
% 163.65/163.56
% 163.65/163.56 fof(fact_Sigma__Diff__distrib2,axiom,
% 163.65/163.56 ! [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)) ).
% 163.65/163.56
% 163.65/163.56 fof(fact_UNIV__Times__UNIV,axiom,
% 163.65/163.56 ! [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)) ).
% 163.65/163.56
% 163.65/163.56 fof(fact_SigmaE2,axiom,
% 163.65/163.56 ! [V_B_2,V_A_2,V_b_2,V_a_2,T_c,T_b] :
% 163.65/163.56 ( 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)))
% 163.65/163.56 => ~ ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 163.65/163.56 => ~ hBOOL(hAPP(hAPP(c_member(T_c),V_b_2),hAPP(V_B_2,V_a_2))) ) ) ).
% 163.65/163.56
% 163.65/163.56 fof(fact_SigmaD2,axiom,
% 163.65/163.56 ! [V_B_2,V_A_2,V_b_2,V_a_2,T_c,T_b] :
% 163.65/163.56 ( 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)))
% 163.65/163.56 => hBOOL(hAPP(hAPP(c_member(T_c),V_b_2),hAPP(V_B_2,V_a_2))) ) ).
% 163.65/163.56
% 163.65/163.56 fof(fact_SigmaD1,axiom,
% 163.65/163.56 ! [V_B_2,V_A_2,V_b_2,V_a_2,T_c,T_b] :
% 163.65/163.56 ( 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)))
% 163.65/163.56 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ).
% 163.65/163.56
% 163.65/163.56 fof(fact_mem__Sigma__iff,axiom,
% 163.65/163.56 ! [V_B_2,V_A_2,V_b_2,V_a_2,T_c,T_b] :
% 163.65/163.56 ( 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)))
% 163.65/163.56 <=> ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 163.65/163.56 & hBOOL(hAPP(hAPP(c_member(T_c),V_b_2),hAPP(V_B_2,V_a_2))) ) ) ).
% 163.65/163.56
% 163.65/163.56 fof(fact_card__cartesian__product__singleton,axiom,
% 163.65/163.56 ! [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) ).
% 163.65/163.56
% 163.65/163.56 fof(fact_Max_Oin__idem,axiom,
% 163.65/163.56 ! [V_x_2,V_A_2,T_b] :
% 163.65/163.56 ( class_Orderings_Olinorder(T_b)
% 163.65/163.56 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.65/163.56 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 163.65/163.56 => 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) ) ) ) ).
% 163.65/163.56
% 163.65/163.56 fof(fact_Min_Oin__idem,axiom,
% 163.65/163.56 ! [V_x_2,V_A_2,T_b] :
% 163.65/163.56 ( class_Orderings_Olinorder(T_b)
% 163.65/163.56 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.65/163.56 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 163.65/163.56 => 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) ) ) ) ).
% 163.65/163.56
% 163.65/163.56 fof(fact_Times__subset__cancel2,axiom,
% 163.65/163.56 ! [V_B_2,V_A_2,T_c,V_C_2,V_x_2,T_b] :
% 163.65/163.56 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_C_2))
% 163.65/163.56 => ( 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))))
% 163.65/163.56 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ).
% 163.65/163.56
% 163.65/163.56 fof(fact_Image__subset,axiom,
% 163.65/163.56 ! [V_C_2,V_B_2,V_A_2,V_r_2,T_c,T_b] :
% 163.65/163.56 ( 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))))
% 163.65/163.56 => 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)) ) ).
% 163.65/163.56
% 163.65/163.56 fof(fact_add__nonpos__neg,axiom,
% 163.65/163.56 ! [V_b,V_a,T_a] :
% 163.65/163.56 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 163.65/163.56 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 163.65/163.56 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a)))
% 163.65/163.56 => 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))) ) ) ) ).
% 163.65/163.56
% 163.65/163.56 fof(fact_add__neg__nonpos,axiom,
% 163.65/163.56 ! [V_b,V_a,T_a] :
% 163.65/163.56 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 163.65/163.56 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 163.65/163.56 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a)))
% 163.65/163.56 => 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))) ) ) ) ).
% 163.65/163.56
% 163.65/163.56 fof(fact_add__strict__increasing2,axiom,
% 163.65/163.56 ! [V_c,V_b,V_a,T_a] :
% 163.65/163.56 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 163.65/163.56 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 163.65/163.56 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_c))
% 163.65/163.56 => 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))) ) ) ) ).
% 163.65/163.56
% 163.65/163.56 fof(fact_add__strict__increasing,axiom,
% 163.65/163.56 ! [V_c,V_b,V_a,T_a] :
% 163.65/163.56 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 163.65/163.56 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 163.65/163.56 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_c))
% 163.65/163.56 => 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))) ) ) ) ).
% 163.65/163.56
% 163.65/163.56 fof(fact_add__nonneg__pos,axiom,
% 163.65/163.56 ! [V_b,V_a,T_a] :
% 163.65/163.56 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 163.65/163.56 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 163.65/163.56 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 163.65/163.56 => 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))) ) ) ) ).
% 163.65/163.56
% 163.65/163.56 fof(fact_add__pos__nonneg,axiom,
% 163.65/163.56 ! [V_b,V_a,T_a] :
% 163.65/163.56 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 163.65/163.56 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 163.65/163.56 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 163.65/163.56 => 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))) ) ) ) ).
% 163.65/163.56
% 163.65/163.56 fof(fact_mult__left__le__imp__le,axiom,
% 163.65/163.56 ! [V_b,V_a,V_c,T_a] :
% 163.65/163.56 ( class_Rings_Olinordered__semiring__strict(T_a)
% 163.65/163.56 => ( 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)))
% 163.65/163.56 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 163.65/163.56 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) ) ) ) ).
% 163.65/163.56
% 163.65/163.56 fof(fact_mult__right__le__imp__le,axiom,
% 163.65/163.56 ! [V_b,V_c,V_a,T_a] :
% 163.65/163.56 ( class_Rings_Olinordered__semiring__strict(T_a)
% 163.65/163.56 => ( 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)))
% 163.65/163.56 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 163.65/163.56 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) ) ) ) ).
% 163.65/163.56
% 163.65/163.56 fof(fact_mult__less__imp__less__left,axiom,
% 163.65/163.56 ! [V_b,V_a,V_c,T_a] :
% 163.65/163.56 ( class_Rings_Olinordered__semiring__strict(T_a)
% 163.65/163.56 => ( 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)))
% 163.65/163.56 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 163.65/163.56 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ) ).
% 163.65/163.56
% 163.65/163.56 fof(fact_mult__left__less__imp__less,axiom,
% 163.65/163.56 ! [V_b,V_a,V_c,T_a] :
% 163.65/163.56 ( class_Rings_Olinordered__semiring(T_a)
% 163.65/163.56 => ( 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)))
% 163.65/163.56 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 163.65/163.56 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ) ).
% 163.65/163.56
% 163.65/163.56 fof(fact_mult__less__imp__less__right,axiom,
% 163.65/163.56 ! [V_b,V_c,V_a,T_a] :
% 163.65/163.56 ( class_Rings_Olinordered__semiring__strict(T_a)
% 163.65/163.56 => ( 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)))
% 163.65/163.56 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 163.65/163.56 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ) ).
% 163.65/163.56
% 163.65/163.56 fof(fact_mult__right__less__imp__less,axiom,
% 163.65/163.56 ! [V_b,V_c,V_a,T_a] :
% 163.65/163.56 ( class_Rings_Olinordered__semiring(T_a)
% 163.65/163.56 => ( 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)))
% 163.65/163.56 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 163.65/163.56 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ) ).
% 163.65/163.56
% 163.65/163.56 fof(fact_mult__le__less__imp__less,axiom,
% 163.65/163.56 ! [V_d,V_c,V_b,V_a,T_a] :
% 163.65/163.56 ( class_Rings_Olinordered__semiring__strict(T_a)
% 163.65/163.56 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 163.65/163.56 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_d))
% 163.65/163.56 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 163.65/163.56 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 163.65/163.56 => 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))) ) ) ) ) ) ).
% 163.65/163.56
% 163.65/163.56 fof(fact_mult__less__le__imp__less,axiom,
% 163.65/163.56 ! [V_d,V_c,V_b,V_a,T_a] :
% 163.65/163.56 ( class_Rings_Olinordered__semiring__strict(T_a)
% 163.65/163.56 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 163.65/163.56 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_d))
% 163.65/163.56 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 163.65/163.56 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 163.65/163.56 => 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))) ) ) ) ) ) ).
% 163.65/163.56
% 163.65/163.56 fof(fact_mult__strict__mono_H,axiom,
% 163.65/163.56 ! [V_d,V_c,V_b,V_a,T_a] :
% 163.65/163.56 ( class_Rings_Olinordered__semiring__strict(T_a)
% 163.65/163.56 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 163.65/163.56 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_d))
% 163.65/163.56 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 163.65/163.56 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 163.65/163.56 => 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))) ) ) ) ) ) ).
% 163.65/163.56
% 163.65/163.56 fof(fact_mult__strict__mono,axiom,
% 163.65/163.56 ! [V_d,V_c,V_b,V_a,T_a] :
% 163.65/163.56 ( class_Rings_Olinordered__semiring__strict(T_a)
% 163.65/163.56 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 163.65/163.56 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_d))
% 163.65/163.56 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 163.65/163.56 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 163.65/163.56 => 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))) ) ) ) ) ) ).
% 163.65/163.56
% 163.65/163.56 fof(fact_mult__le__cancel__left__neg,axiom,
% 163.65/163.56 ! [V_b_2,V_a_2,V_c_2,T_b] :
% 163.65/163.56 ( class_Rings_Olinordered__ring__strict(T_b)
% 163.65/163.56 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 163.65/163.56 => ( 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)))
% 163.65/163.56 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),V_a_2)) ) ) ) ).
% 163.65/163.56
% 163.65/163.56 fof(fact_mult__le__cancel__left__pos,axiom,
% 163.65/163.56 ! [V_b_2,V_a_2,V_c_2,T_b] :
% 163.65/163.56 ( class_Rings_Olinordered__ring__strict(T_b)
% 163.65/163.56 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 163.65/163.56 => ( 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)))
% 163.65/163.56 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2)) ) ) ) ).
% 163.65/163.56
% 163.65/163.56 fof(fact_sum__squares__le__zero__iff,axiom,
% 163.65/163.56 ! [V_y_2,V_x_2,T_b] :
% 163.65/163.56 ( class_Rings_Olinordered__ring__strict(T_b)
% 163.65/163.56 => ( 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)))
% 163.65/163.56 <=> ( V_x_2 = c_Groups_Ozero__class_Ozero(T_b)
% 163.65/163.56 & V_y_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ).
% 163.65/163.56
% 163.65/163.56 fof(fact_sum__squares__ge__zero,axiom,
% 163.65/163.56 ! [V_y,V_x,T_a] :
% 163.65/163.56 ( class_Rings_Olinordered__ring(T_a)
% 163.65/163.56 => 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)))) ) ).
% 163.65/163.56
% 163.65/163.56 fof(fact_sum__squares__gt__zero__iff,axiom,
% 163.65/163.56 ! [V_y_2,V_x_2,T_b] :
% 163.65/163.56 ( class_Rings_Olinordered__ring__strict(T_b)
% 163.65/163.56 => ( 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))))
% 163.65/163.56 <=> ( V_x_2 != c_Groups_Ozero__class_Ozero(T_b)
% 163.65/163.56 | V_y_2 != c_Groups_Ozero__class_Ozero(T_b) ) ) ) ).
% 163.65/163.56
% 163.65/163.56 fof(fact_not__sum__squares__lt__zero,axiom,
% 163.65/163.56 ! [V_y,V_x,T_a] :
% 163.65/163.56 ( class_Rings_Olinordered__ring(T_a)
% 163.65/163.56 => ~ 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))) ) ).
% 163.65/163.56
% 163.65/163.56 fof(fact_finite__cartesian__productD2,axiom,
% 163.65/163.56 ! [V_B_2,V_A_2,T_c,T_b] :
% 163.65/163.56 ( 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))))
% 163.65/163.56 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.65/163.56 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) ) ) ).
% 163.65/163.56
% 163.65/163.56 fof(fact_finite__cartesian__productD1,axiom,
% 163.65/163.56 ! [V_B_2,V_A_2,T_c,T_b] :
% 163.65/163.56 ( 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))))
% 163.65/163.56 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))
% 163.65/163.56 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ) ).
% 163.65/163.56
% 163.65/163.56 fof(fact_mult__left__le__one__le,axiom,
% 163.65/163.56 ! [V_y,V_x,T_a] :
% 163.65/163.56 ( class_Rings_Olinordered__idom(T_a)
% 163.65/163.56 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 163.65/163.56 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 163.65/163.56 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),c_Groups_Oone__class_Oone(T_a)))
% 163.65/163.56 => 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)) ) ) ) ) ).
% 163.65/163.56
% 163.65/163.56 fof(fact_mult__right__le__one__le,axiom,
% 163.65/163.56 ! [V_y,V_x,T_a] :
% 163.65/163.56 ( class_Rings_Olinordered__idom(T_a)
% 163.65/163.56 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 163.65/163.56 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 163.65/163.56 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),c_Groups_Oone__class_Oone(T_a)))
% 163.65/163.56 => 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)) ) ) ) ) ).
% 163.65/163.56
% 163.65/163.56 fof(fact_zero__less__two,axiom,
% 163.65/163.56 ! [T_a] :
% 163.65/163.56 ( class_Rings_Olinordered__semidom(T_a)
% 163.65/163.56 => 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)))) ) ).
% 163.65/163.56
% 163.65/163.56 fof(fact_Max_OF__eq,axiom,
% 163.65/163.56 ! [V_A_2,T_b] :
% 163.65/163.56 ( class_Orderings_Olinorder(T_b)
% 163.65/163.56 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.65/163.56 => 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) ) ) ).
% 163.65/163.56
% 163.65/163.56 fof(fact_Min_OF__eq,axiom,
% 163.65/163.56 ! [V_A_2,T_b] :
% 163.65/163.56 ( class_Orderings_Olinorder(T_b)
% 163.65/163.56 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.65/163.56 => 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) ) ) ).
% 163.65/163.56
% 163.65/163.56 fof(fact_SetCompr__Sigma__eq,axiom,
% 163.65/163.56 ! [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)) ).
% 163.65/163.56
% 163.65/163.56 fof(fact_Collect__split,axiom,
% 163.65/163.56 ! [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))) ).
% 163.65/163.56
% 163.65/163.56 fof(fact_card__eq__0__iff,axiom,
% 163.65/163.56 ! [V_A_2,T_b] :
% 163.65/163.56 ( hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 163.65/163.56 <=> ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.65/163.56 | ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ) ).
% 163.65/163.56
% 163.65/163.56 fof(fact_card__ge__0__finite,axiom,
% 163.65/163.56 ! [V_A_2,T_b] :
% 163.65/163.56 ( 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)))
% 163.65/163.56 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ).
% 163.65/163.56
% 163.65/163.56 fof(fact_diff__Suc__less,axiom,
% 163.65/163.56 ! [V_i,V_n] :
% 163.65/163.56 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 163.65/163.56 => 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)) ) ).
% 163.65/163.56
% 163.65/163.56 fof(fact_Suc__pred,axiom,
% 163.65/163.56 ! [V_n] :
% 163.65/163.56 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 163.65/163.56 => 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 ) ).
% 163.65/163.56
% 163.65/163.56 fof(fact_one__less__mult,axiom,
% 163.65/163.56 ! [V_m,V_n] :
% 163.65/163.56 ( 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))
% 163.65/163.56 => ( 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))
% 163.65/163.56 => 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))) ) ) ).
% 163.65/163.56
% 163.65/163.56 fof(fact_n__less__n__mult__m,axiom,
% 163.65/163.56 ! [V_m,V_n] :
% 163.65/163.56 ( 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))
% 163.65/163.56 => ( 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))
% 163.65/163.56 => 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))) ) ) ).
% 163.65/163.56
% 163.65/163.56 fof(fact_n__less__m__mult__n,axiom,
% 163.65/163.56 ! [V_m,V_n] :
% 163.65/163.56 ( 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))
% 163.65/163.56 => ( 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))
% 163.65/163.56 => 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))) ) ) ).
% 163.65/163.56
% 163.65/163.56 fof(fact_nat__diff__split,axiom,
% 163.65/163.56 ! [V_b_2,V_a_2,V_P_2] :
% 163.65/163.56 ( hBOOL(hAPP(V_P_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_a_2),V_b_2)))
% 163.65/163.56 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_a_2),V_b_2))
% 163.65/163.56 => hBOOL(hAPP(V_P_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )
% 163.65/163.56 & ! [B_d] :
% 163.65/163.56 ( V_a_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_b_2),B_d)
% 163.65/163.56 => hBOOL(hAPP(V_P_2,B_d)) ) ) ) ).
% 163.65/163.56
% 163.65/163.56 fof(fact_nat__diff__split__asm,axiom,
% 163.65/163.56 ! [V_b_2,V_a_2,V_P_2] :
% 163.65/163.56 ( hBOOL(hAPP(V_P_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_a_2),V_b_2)))
% 163.65/163.56 <=> ~ ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_a_2),V_b_2))
% 163.65/163.56 & ~ hBOOL(hAPP(V_P_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )
% 163.65/163.56 | ? [B_d] :
% 163.65/163.56 ( V_a_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_b_2),B_d)
% 163.65/163.56 & ~ hBOOL(hAPP(V_P_2,B_d)) ) ) ) ).
% 163.65/163.56
% 163.65/163.56 fof(fact_one__le__mult__iff,axiom,
% 163.65/163.56 ! [V_n_2,V_m_2] :
% 163.65/163.56 ( 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)))
% 163.65/163.56 <=> ( 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))
% 163.65/163.56 & 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)) ) ) ).
% 163.65/163.56
% 163.65/163.56 fof(fact_mult__le__cancel2,axiom,
% 163.65/163.56 ! [V_n_2,V_k_2,V_m_2] :
% 163.65/163.56 ( 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)))
% 163.65/163.56 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2))
% 163.65/163.56 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ) ).
% 163.65/163.56
% 163.65/163.56 fof(fact_mult__le__cancel1,axiom,
% 163.65/163.56 ! [V_n_2,V_m_2,V_k_2] :
% 163.65/163.56 ( 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)))
% 163.65/163.56 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2))
% 163.65/163.56 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ) ).
% 163.65/163.56
% 163.65/163.56 fof(fact_nat__mult__le__cancel1,axiom,
% 163.65/163.56 ! [V_n_2,V_m_2,V_k_2] :
% 163.65/163.56 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2))
% 163.65/163.56 => ( 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)))
% 163.65/163.56 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ) ).
% 163.65/163.56
% 163.65/163.56 fof(fact_min__max_Ofold1__belowI,axiom,
% 163.65/163.56 ! [V_a_2,V_A_2,T_b] :
% 163.65/163.56 ( class_Orderings_Olinorder(T_b)
% 163.65/163.56 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.65/163.56 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 163.65/163.56 => 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)) ) ) ) ).
% 163.65/163.56
% 163.65/163.56 fof(fact_min__max_Obelow__fold1__iff,axiom,
% 163.65/163.56 ! [V_x_2,V_A_2,T_b] :
% 163.65/163.56 ( class_Orderings_Olinorder(T_b)
% 163.65/163.56 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.65/163.56 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.65/163.56 => ( 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)))
% 163.65/163.56 <=> ! [B_x] :
% 163.65/163.56 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 163.65/163.56 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),B_x)) ) ) ) ) ) ).
% 163.65/163.56
% 163.65/163.56 fof(fact_fold1__below__iff,axiom,
% 163.65/163.56 ! [V_x_2,V_A_2,T_b] :
% 163.65/163.56 ( class_Orderings_Olinorder(T_b)
% 163.65/163.56 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.65/163.56 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.65/163.56 => ( 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))
% 163.65/163.56 <=> ? [B_x] :
% 163.65/163.56 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 163.65/163.56 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),B_x),V_x_2)) ) ) ) ) ) ).
% 163.65/163.56
% 163.65/163.56 fof(fact_fold1__strict__below__iff,axiom,
% 163.65/163.56 ! [V_x_2,V_A_2,T_b] :
% 163.65/163.56 ( class_Orderings_Olinorder(T_b)
% 163.65/163.56 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.65/163.56 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.65/163.56 => ( 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))
% 163.65/163.56 <=> ? [B_x] :
% 163.65/163.56 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 163.65/163.56 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),B_x),V_x_2)) ) ) ) ) ) ).
% 163.65/163.56
% 163.65/163.56 fof(fact_strict__below__fold1__iff,axiom,
% 163.65/163.56 ! [V_x_2,V_A_2,T_b] :
% 163.65/163.56 ( class_Orderings_Olinorder(T_b)
% 163.65/163.56 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.65/163.56 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.65/163.56 => ( 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)))
% 163.65/163.56 <=> ! [B_x] :
% 163.65/163.56 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 163.65/163.56 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),B_x)) ) ) ) ) ) ).
% 163.65/163.56
% 163.65/163.56 fof(fact_Max__insert,axiom,
% 163.65/163.56 ! [V_x_2,V_A_2,T_b] :
% 163.65/163.56 ( class_Orderings_Olinorder(T_b)
% 163.65/163.56 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.65/163.56 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.65/163.56 => 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)) ) ) ) ).
% 163.65/163.56
% 163.65/163.56 fof(fact_Min__insert,axiom,
% 163.65/163.56 ! [V_x_2,V_A_2,T_b] :
% 163.65/163.56 ( class_Orderings_Olinorder(T_b)
% 163.65/163.56 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.65/163.56 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.65/163.56 => 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)) ) ) ) ).
% 163.65/163.56
% 163.65/163.56 fof(fact_Max_Osubset__idem,axiom,
% 163.65/163.56 ! [V_B_2,V_A_2,T_b] :
% 163.65/163.56 ( class_Orderings_Olinorder(T_b)
% 163.65/163.56 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.65/163.56 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.65/163.56 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 163.65/163.56 => 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) ) ) ) ) ).
% 163.65/163.56
% 163.65/163.56 fof(fact_Min_Osubset__idem,axiom,
% 163.65/163.56 ! [V_B_2,V_A_2,T_b] :
% 163.65/163.56 ( class_Orderings_Olinorder(T_b)
% 163.65/163.56 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.65/163.56 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.65/163.56 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 163.65/163.56 => 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) ) ) ) ) ).
% 163.65/163.56
% 163.65/163.56 fof(fact_Max__Un,axiom,
% 163.65/163.56 ! [V_B_2,V_A_2,T_b] :
% 163.65/163.56 ( class_Orderings_Olinorder(T_b)
% 163.65/163.56 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.65/163.56 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.65/163.56 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 163.65/163.56 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.65/163.56 => 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)) ) ) ) ) ) ).
% 163.65/163.56
% 163.65/163.56 fof(fact_Min__Un,axiom,
% 163.65/163.56 ! [V_B_2,V_A_2,T_b] :
% 163.65/163.56 ( class_Orderings_Olinorder(T_b)
% 163.65/163.56 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.65/163.56 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.65/163.56 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 163.65/163.56 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.65/163.56 => 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)) ) ) ) ) ) ).
% 163.65/163.56
% 163.65/163.56 fof(fact_card__less__Suc,axiom,
% 163.65/163.56 ! [V_i_2,V_M_2] :
% 163.65/163.56 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_M_2))
% 163.65/163.56 => 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))))) ) ).
% 163.65/163.56
% 163.65/163.56 fof(fact_card__less,axiom,
% 163.65/163.56 ! [V_i_2,V_M_2] :
% 163.65/163.56 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_M_2))
% 163.65/163.56 => 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) ) ).
% 163.65/163.56
% 163.65/163.56 fof(fact_card__less__Suc2,axiom,
% 163.65/163.56 ! [V_i_2,V_M_2] :
% 163.65/163.56 ( ~ hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_M_2))
% 163.65/163.56 => 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))))) ) ).
% 163.65/163.56
% 163.65/163.56 fof(fact_insert__times__insert,axiom,
% 163.65/163.56 ! [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)))) ).
% 163.65/163.56
% 163.65/163.56 fof(fact_finite__equiv__class,axiom,
% 163.65/163.56 ! [V_X_2,V_r_2,V_A_2,T_b] :
% 163.65/163.56 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.65/163.56 => ( 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))))
% 163.65/163.56 => ( 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)))
% 163.65/163.56 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_X_2)) ) ) ) ).
% 163.65/163.56
% 163.65/163.56 fof(fact_convex__bound__le,axiom,
% 163.65/163.56 ! [V_v,V_u,V_y,V_a,V_x,T_a] :
% 163.65/163.56 ( class_Rings_Olinordered__semiring__1(T_a)
% 163.65/163.56 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_a))
% 163.65/163.56 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_a))
% 163.65/163.56 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_u))
% 163.65/163.56 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_v))
% 163.65/163.56 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_u),V_v) = c_Groups_Oone__class_Oone(T_a)
% 163.65/163.56 => 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)) ) ) ) ) ) ) ).
% 163.65/163.56
% 163.65/163.56 fof(fact_Sigma__def,axiom,
% 163.65/163.56 ! [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))))) ).
% 163.65/163.56
% 163.65/163.56 fof(fact_card__gt__0__iff,axiom,
% 163.65/163.56 ! [V_A_2,T_b] :
% 163.65/163.56 ( 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)))
% 163.65/163.56 <=> ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.65/163.56 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ) ).
% 163.65/163.56
% 163.65/163.56 fof(fact_finite__UNIV__card__ge__0,axiom,
% 163.65/163.56 ! [T_b] :
% 163.65/163.56 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))))
% 163.65/163.56 => 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))))) ) ).
% 163.65/163.56
% 163.65/163.56 fof(fact_finite__quotient,axiom,
% 163.65/163.56 ! [V_r_2,V_A_2,T_b] :
% 163.65/163.56 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.65/163.56 => ( 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))))
% 163.65/163.56 => 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))) ) ) ).
% 163.65/163.56
% 163.65/163.56 fof(fact_Suc__diff__1,axiom,
% 163.65/163.56 ! [V_n] :
% 163.65/163.56 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 163.65/163.56 => 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 ) ).
% 163.65/163.56
% 163.65/163.56 fof(fact_Suc__pred_H,axiom,
% 163.65/163.56 ! [V_n] :
% 163.65/163.56 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 163.65/163.56 => 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))) ) ).
% 163.65/163.56
% 163.65/163.56 fof(fact_add__eq__if,axiom,
% 163.65/163.56 ! [V_n,V_m] :
% 163.65/163.56 ( ( V_m = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 163.65/163.56 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_n) = V_n )
% 163.65/163.56 & ( V_m != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 163.65/163.56 => 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)) ) ) ).
% 163.65/163.56
% 163.65/163.56 fof(fact_mult__eq__if,axiom,
% 163.65/163.56 ! [V_n,V_m] :
% 163.65/163.56 ( ( V_m = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 163.65/163.56 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 163.65/163.56 & ( V_m != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 163.65/163.56 => 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)) ) ) ).
% 163.65/163.56
% 163.65/163.56 fof(fact_Max_Oinsert,axiom,
% 163.65/163.56 ! [V_x_2,V_A_2,T_b] :
% 163.65/163.56 ( class_Orderings_Olinorder(T_b)
% 163.65/163.56 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.65/163.56 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 163.65/163.56 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.65/163.56 => 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)) ) ) ) ) ).
% 163.65/163.56
% 163.65/163.56 fof(fact_Min_Oinsert,axiom,
% 163.65/163.56 ! [V_x_2,V_A_2,T_b] :
% 163.65/163.56 ( class_Orderings_Olinorder(T_b)
% 163.65/163.56 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.65/163.56 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 163.65/163.56 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.65/163.56 => 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)) ) ) ) ) ).
% 163.65/163.56
% 163.65/163.56 fof(fact_fold1__antimono,axiom,
% 163.65/163.56 ! [V_B_2,V_A_2,T_b] :
% 163.65/163.56 ( class_Orderings_Olinorder(T_b)
% 163.65/163.56 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.65/163.56 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 163.65/163.56 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 163.65/163.56 => 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))) ) ) ) ) ).
% 163.65/163.56
% 163.65/163.56 fof(fact_card_Oeq__fold__g,axiom,
% 163.65/163.56 ! [V_A_2,T_b] :
% 163.65/163.56 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.65/163.56 => 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) ) ).
% 163.65/163.56
% 163.65/163.56 fof(fact_card__def,axiom,
% 163.65/163.56 ! [V_A_2,T_b] :
% 163.65/163.56 ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.65/163.56 => 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) )
% 163.65/163.56 & ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.65/163.56 => hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 163.65/163.56
% 163.65/163.56 fof(fact_Max_Oinsert__remove,axiom,
% 163.65/163.56 ! [V_x_2,V_A_2,T_b] :
% 163.65/163.56 ( class_Orderings_Olinorder(T_b)
% 163.65/163.56 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.65/163.56 => ( ( 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))
% 163.65/163.56 => c_Big__Operators_Olinorder__class_OMax(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = V_x_2 )
% 163.65/163.56 & ( 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))
% 163.65/163.56 => 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)))))) ) ) ) ) ).
% 163.65/163.56
% 163.65/163.56 fof(fact_Max_Ounion__disjoint,axiom,
% 163.65/163.56 ! [V_B_2,V_A_2,T_b] :
% 163.65/163.56 ( class_Orderings_Olinorder(T_b)
% 163.65/163.56 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.65/163.56 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.65/163.56 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 163.65/163.56 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.65/163.56 => ( 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))
% 163.65/163.56 => 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)) ) ) ) ) ) ) ).
% 163.65/163.56
% 163.65/163.56 fof(fact_Max_Ounion__inter,axiom,
% 163.65/163.56 ! [V_B_2,V_A_2,T_b] :
% 163.65/163.56 ( class_Orderings_Olinorder(T_b)
% 163.65/163.56 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.65/163.56 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 163.65/163.56 => ( 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))
% 163.65/163.56 => 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)) ) ) ) ) ).
% 163.65/163.56
% 163.65/163.56 fof(fact_Min_Oinsert__remove,axiom,
% 163.65/163.56 ! [V_x_2,V_A_2,T_b] :
% 163.65/163.56 ( class_Orderings_Olinorder(T_b)
% 163.65/163.56 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.65/163.56 => ( ( 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))
% 163.65/163.56 => c_Big__Operators_Olinorder__class_OMin(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = V_x_2 )
% 163.65/163.56 & ( 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))
% 163.65/163.56 => 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)))))) ) ) ) ) ).
% 163.65/163.56
% 163.65/163.56 fof(fact_Min_Ounion__disjoint,axiom,
% 163.65/163.56 ! [V_B_2,V_A_2,T_b] :
% 163.65/163.56 ( class_Orderings_Olinorder(T_b)
% 163.65/163.56 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.65/163.56 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.65/163.56 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 163.65/163.56 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.65/163.56 => ( 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))
% 163.65/163.56 => 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)) ) ) ) ) ) ) ).
% 163.65/163.56
% 163.65/163.56 fof(fact_Min_Ounion__inter,axiom,
% 163.65/163.56 ! [V_B_2,V_A_2,T_b] :
% 163.65/163.56 ( class_Orderings_Olinorder(T_b)
% 163.65/163.56 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.65/163.56 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 163.65/163.56 => ( 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))
% 163.65/163.56 => 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)) ) ) ) ) ).
% 163.65/163.56
% 163.65/163.56 fof(fact_convex__bound__lt,axiom,
% 163.65/163.56 ! [V_v,V_u,V_y,V_a,V_x,T_a] :
% 163.65/163.56 ( class_Rings_Olinordered__semiring__1__strict(T_a)
% 163.65/163.56 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_a))
% 163.65/163.56 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_a))
% 163.65/163.56 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_u))
% 163.65/163.56 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_v))
% 163.65/163.56 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_u),V_v) = c_Groups_Oone__class_Oone(T_a)
% 163.65/163.56 => 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)) ) ) ) ) ) ) ).
% 163.65/163.56
% 163.65/163.56 fof(fact_even__less__0__iff,axiom,
% 163.65/163.56 ! [V_a_2,T_b] :
% 163.65/163.56 ( class_Rings_Olinordered__idom(T_b)
% 163.65/163.56 => ( 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)))
% 163.65/163.56 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ).
% 163.65/163.56
% 163.65/163.56 fof(fact_nat_Osize_I2_J,axiom,
% 163.65/163.56 ! [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))) ).
% 163.65/163.56
% 163.65/163.56 fof(fact_dual__min,axiom,
% 163.65/163.56 ! [T_b] :
% 163.65/163.56 ( class_Orderings_Olinorder(T_b)
% 163.65/163.56 => 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) ) ).
% 163.65/163.56
% 163.65/163.56 fof(fact_dual__max,axiom,
% 163.65/163.56 ! [T_b] :
% 163.65/163.56 ( class_Orderings_Olinorder(T_b)
% 163.65/163.56 => 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) ) ).
% 163.65/163.56
% 163.65/163.56 fof(fact_card_Ounion__inter__neutral,axiom,
% 163.65/163.56 ! [V_B_2,V_A_2,T_b] :
% 163.65/163.56 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.65/163.56 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 163.65/163.56 => ( ( ? [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)))
% 163.65/163.56 => c_Groups_Oone__class_Oone(tc_Nat_Onat) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 163.65/163.56 => 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)) ) ) ) ).
% 163.65/163.56
% 163.65/163.56 fof(fact_Ex__inj__on__UNION__Sigma,axiom,
% 163.65/163.56 ! [V_A_2,V_I_2,T_c,T_b] :
% 163.65/163.56 ? [B_f] :
% 163.65/163.56 ( 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))
% 163.65/163.56 & 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))) ) ).
% 163.65/163.56
% 163.65/163.56 fof(fact_inf__nat__def,axiom,
% 163.65/163.56 c_Lattices_Osemilattice__inf__class_Oinf(tc_Nat_Onat) = c_Orderings_Oord__class_Omin(tc_Nat_Onat) ).
% 163.65/163.56
% 163.65/163.56 fof(fact_sup__nat__def,axiom,
% 163.65/163.56 c_Lattices_Osemilattice__sup__class_Osup(tc_Nat_Onat) = c_Orderings_Oord__class_Omax(tc_Nat_Onat) ).
% 163.65/163.56
% 163.65/163.56 fof(fact_nat_Osize_I1_J,axiom,
% 163.65/163.56 c_Nat_Onat_Onat__size(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 163.65/163.56
% 163.65/163.56 fof(fact_double__eq__0__iff,axiom,
% 163.65/163.56 ! [V_a_2,T_b] :
% 163.65/163.56 ( class_Groups_Olinordered__ab__group__add(T_b)
% 163.65/163.56 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_a_2) = c_Groups_Ozero__class_Ozero(T_b)
% 163.65/163.56 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 163.65/163.56
% 163.65/163.56 fof(fact_min__ord__min,axiom,
% 163.65/163.56 ! [T_b] :
% 163.65/163.56 ( class_Orderings_Oord(T_b)
% 163.65/163.56 => c_Orderings_Oord__class_Omin(T_b) = c_Orderings_Oord_Omin(T_b,c_Orderings_Oord__class_Oless__eq(T_b)) ) ).
% 163.65/163.56
% 163.65/163.56 fof(fact_max__ord__max,axiom,
% 163.65/163.56 ! [T_b] :
% 163.65/163.56 ( class_Orderings_Oord(T_b)
% 163.65/163.56 => c_Orderings_Oord__class_Omax(T_b) = c_Orderings_Oord_Omax(T_b,c_Orderings_Oord__class_Oless__eq(T_b)) ) ).
% 163.65/163.56
% 163.65/163.56 fof(fact_fold__image__Sigma,axiom,
% 163.65/163.56 ! [V_g_2,V_B_2,T_c,V_A_2,T_b,T_d] :
% 163.65/163.56 ( class_Groups_Ocomm__monoid__mult(T_d)
% 163.65/163.56 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.65/163.56 => ( ! [B_x] :
% 163.65/163.56 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 163.65/163.56 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(V_B_2,B_x))) )
% 163.65/163.56 => 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)) ) ) ) ).
% 163.65/163.56
% 163.65/163.56 fof(fact_min__max_Osup__Inf1__distrib,axiom,
% 163.65/163.56 ! [V_x_2,V_A_2,T_b] :
% 163.65/163.56 ( class_Orderings_Olinorder(T_b)
% 163.65/163.56 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.65/163.56 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.65/163.56 => 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))))) ) ) ) ).
% 163.65/163.56
% 163.65/163.56 fof(fact_min__max_Oinf__Sup1__distrib,axiom,
% 163.65/163.56 ! [V_x_2,V_A_2,T_b] :
% 163.65/163.56 ( class_Orderings_Olinorder(T_b)
% 163.65/163.56 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.65/163.56 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.65/163.56 => 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))))) ) ) ) ).
% 163.65/163.56
% 163.65/163.56 fof(fact_min__max_Osup__Inf2__distrib,axiom,
% 163.65/163.56 ! [V_B_2,V_A_2,T_b] :
% 163.65/163.56 ( class_Orderings_Olinorder(T_b)
% 163.65/163.56 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.65/163.56 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.65/163.56 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 163.65/163.56 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.65/163.56 => 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))))))) ) ) ) ) ) ).
% 163.65/163.56
% 163.65/163.56 fof(fact_min__max_Oinf__Sup2__distrib,axiom,
% 163.65/163.56 ! [V_B_2,V_A_2,T_b] :
% 163.65/163.56 ( class_Orderings_Olinorder(T_b)
% 163.65/163.56 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.65/163.56 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.65/163.56 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 163.65/163.56 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.65/163.56 => 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))))))) ) ) ) ) ) ).
% 163.65/163.56
% 163.65/163.56 fof(fact_min__max_OInf__le__Sup,axiom,
% 163.65/163.56 ! [V_A_2,T_b] :
% 163.65/163.56 ( class_Orderings_Olinorder(T_b)
% 163.65/163.56 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.65/163.56 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.65/163.56 => 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))) ) ) ) ).
% 163.65/163.56
% 163.65/163.56 fof(fact_min__max_OInf__fin_Oin__idem,axiom,
% 163.65/163.56 ! [V_x_2,V_A_2,T_b] :
% 163.65/163.56 ( class_Orderings_Olinorder(T_b)
% 163.65/163.56 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.65/163.56 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 163.65/163.56 => 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) ) ) ) ).
% 163.65/163.56
% 163.65/163.56 fof(fact_min__max_OSup__fin_Oin__idem,axiom,
% 163.65/163.56 ! [V_x_2,V_A_2,T_b] :
% 163.65/163.56 ( class_Orderings_Olinorder(T_b)
% 163.65/163.56 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.65/163.56 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 163.65/163.56 => 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) ) ) ) ).
% 163.65/163.56
% 163.65/163.56 fof(fact_min__max_OInf__fin_Osingleton,axiom,
% 163.65/163.56 ! [V_x_2,T_b] :
% 163.65/163.56 ( class_Orderings_Olinorder(T_b)
% 163.65/163.56 => 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 ) ).
% 163.65/163.56
% 163.65/163.56 fof(fact_min__max_OSup__fin_Osingleton,axiom,
% 163.65/163.56 ! [V_x_2,T_b] :
% 163.65/163.56 ( class_Orderings_Olinorder(T_b)
% 163.65/163.56 => 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 ) ).
% 163.65/163.56
% 163.65/163.56 fof(fact_min__max_OInf__fin_OF__eq,axiom,
% 163.65/163.56 ! [V_A_2,T_b] :
% 163.65/163.56 ( class_Orderings_Olinorder(T_b)
% 163.65/163.56 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.65/163.56 => 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) ) ) ).
% 163.65/163.56
% 163.65/163.56 fof(fact_min__max_OSup__fin_OF__eq,axiom,
% 163.65/163.56 ! [V_A_2,T_b] :
% 163.65/163.56 ( class_Orderings_Olinorder(T_b)
% 163.65/163.56 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.65/163.56 => 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) ) ) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_min__max_OInf__fin_Oinsert__idem,axiom,
% 163.65/163.57 ! [V_x_2,V_A_2,T_b] :
% 163.65/163.57 ( class_Orderings_Olinorder(T_b)
% 163.65/163.57 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.65/163.57 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.65/163.57 => 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)) ) ) ) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_min__max_OSup__fin_Oinsert__idem,axiom,
% 163.65/163.57 ! [V_x_2,V_A_2,T_b] :
% 163.65/163.57 ( class_Orderings_Olinorder(T_b)
% 163.65/163.57 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.65/163.57 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.65/163.57 => 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)) ) ) ) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_min__max_OInf__fin_Osubset__idem,axiom,
% 163.65/163.57 ! [V_B_2,V_A_2,T_b] :
% 163.65/163.57 ( class_Orderings_Olinorder(T_b)
% 163.65/163.57 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.65/163.57 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.65/163.57 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 163.65/163.57 => 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) ) ) ) ) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_min__max_OSup__fin_Osubset__idem,axiom,
% 163.65/163.57 ! [V_B_2,V_A_2,T_b] :
% 163.65/163.57 ( class_Orderings_Olinorder(T_b)
% 163.65/163.57 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.65/163.57 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.65/163.57 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 163.65/163.57 => 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) ) ) ) ) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_min__max_Osup__Inf__absorb,axiom,
% 163.65/163.57 ! [V_a_2,V_A_2,T_b] :
% 163.65/163.57 ( class_Orderings_Olinorder(T_b)
% 163.65/163.57 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.65/163.57 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 163.65/163.57 => 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 ) ) ) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_min__max_Oinf__Sup__absorb,axiom,
% 163.65/163.57 ! [V_a_2,V_A_2,T_b] :
% 163.65/163.57 ( class_Orderings_Olinorder(T_b)
% 163.65/163.57 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.65/163.57 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 163.65/163.57 => 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 ) ) ) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_min__max_OInf__fin_Ounion__idem,axiom,
% 163.65/163.57 ! [V_B_2,V_A_2,T_b] :
% 163.65/163.57 ( class_Orderings_Olinorder(T_b)
% 163.65/163.57 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.65/163.57 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.65/163.57 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 163.65/163.57 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.65/163.57 => 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)) ) ) ) ) ) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_min__max_OSup__fin_Ounion__idem,axiom,
% 163.65/163.57 ! [V_B_2,V_A_2,T_b] :
% 163.65/163.57 ( class_Orderings_Olinorder(T_b)
% 163.65/163.57 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.65/163.57 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.65/163.57 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 163.65/163.57 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.65/163.57 => 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)) ) ) ) ) ) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_min__max_OInf__fin_Oinsert,axiom,
% 163.65/163.57 ! [V_x_2,V_A_2,T_b] :
% 163.65/163.57 ( class_Orderings_Olinorder(T_b)
% 163.65/163.57 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.65/163.57 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 163.65/163.57 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.65/163.57 => 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)) ) ) ) ) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_min__max_OSup__fin_Oinsert,axiom,
% 163.65/163.57 ! [V_x_2,V_A_2,T_b] :
% 163.65/163.57 ( class_Orderings_Olinorder(T_b)
% 163.65/163.57 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.65/163.57 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 163.65/163.57 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.65/163.57 => 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)) ) ) ) ) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_min__max_OInf__fin_Oinsert__remove,axiom,
% 163.65/163.57 ! [V_x_2,V_A_2,T_b] :
% 163.65/163.57 ( class_Orderings_Olinorder(T_b)
% 163.65/163.57 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.65/163.57 => ( ( 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))
% 163.65/163.57 => 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 )
% 163.65/163.57 & ( 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))
% 163.65/163.57 => 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)))))) ) ) ) ) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_min__max_OSup__fin_Oinsert__remove,axiom,
% 163.65/163.57 ! [V_x_2,V_A_2,T_b] :
% 163.65/163.57 ( class_Orderings_Olinorder(T_b)
% 163.65/163.57 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.65/163.57 => ( ( 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))
% 163.65/163.57 => 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 )
% 163.65/163.57 & ( 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))
% 163.65/163.57 => 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)))))) ) ) ) ) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_min__max_OInf__fin_Ounion__disjoint,axiom,
% 163.65/163.57 ! [V_B_2,V_A_2,T_b] :
% 163.65/163.57 ( class_Orderings_Olinorder(T_b)
% 163.65/163.57 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.65/163.57 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.65/163.57 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 163.65/163.57 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.65/163.57 => ( 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))
% 163.65/163.57 => 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)) ) ) ) ) ) ) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_min__max_OInf__fin_Ounion__inter,axiom,
% 163.65/163.57 ! [V_B_2,V_A_2,T_b] :
% 163.65/163.57 ( class_Orderings_Olinorder(T_b)
% 163.65/163.57 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.65/163.57 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 163.65/163.57 => ( 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))
% 163.65/163.57 => 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)) ) ) ) ) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_min__max_OSup__fin_Ounion__disjoint,axiom,
% 163.65/163.57 ! [V_B_2,V_A_2,T_b] :
% 163.65/163.57 ( class_Orderings_Olinorder(T_b)
% 163.65/163.57 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.65/163.57 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.65/163.57 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 163.65/163.57 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.65/163.57 => ( 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))
% 163.65/163.57 => 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)) ) ) ) ) ) ) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_min__max_OSup__fin_Ounion__inter,axiom,
% 163.65/163.57 ! [V_B_2,V_A_2,T_b] :
% 163.65/163.57 ( class_Orderings_Olinorder(T_b)
% 163.65/163.57 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.65/163.57 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 163.65/163.57 => ( 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))
% 163.65/163.57 => 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)) ) ) ) ) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_min__max_OInf__fin_Oremove,axiom,
% 163.65/163.57 ! [V_x_2,V_A_2,T_b] :
% 163.65/163.57 ( class_Orderings_Olinorder(T_b)
% 163.65/163.57 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.65/163.57 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 163.65/163.57 => ( ( 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))
% 163.65/163.57 => c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_A_2) = V_x_2 )
% 163.65/163.57 & ( 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))
% 163.65/163.57 => 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)))))) ) ) ) ) ) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_min__max_OSup__fin_Oremove,axiom,
% 163.65/163.57 ! [V_x_2,V_A_2,T_b] :
% 163.65/163.57 ( class_Orderings_Olinorder(T_b)
% 163.65/163.57 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.65/163.57 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 163.65/163.57 => ( ( 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))
% 163.65/163.57 => c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_A_2) = V_x_2 )
% 163.65/163.57 & ( 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))
% 163.65/163.57 => 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)))))) ) ) ) ) ) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_nat_Osize_I4_J,axiom,
% 163.65/163.57 ! [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))) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_min__max_OSup__fin_Oclosed,axiom,
% 163.65/163.57 ! [V_A_2,T_b] :
% 163.65/163.57 ( class_Orderings_Olinorder(T_b)
% 163.65/163.57 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.65/163.57 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.65/163.57 => ( ! [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))))))
% 163.65/163.57 => 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)) ) ) ) ) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_min__max_OInf__fin_Oclosed,axiom,
% 163.65/163.57 ! [V_A_2,T_b] :
% 163.65/163.57 ( class_Orderings_Olinorder(T_b)
% 163.65/163.57 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.65/163.57 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.65/163.57 => ( ! [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))))))
% 163.65/163.57 => 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)) ) ) ) ) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_Max_Oclosed,axiom,
% 163.65/163.57 ! [V_A_2,T_b] :
% 163.65/163.57 ( class_Orderings_Olinorder(T_b)
% 163.65/163.57 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.65/163.57 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.65/163.57 => ( ! [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))))))
% 163.65/163.57 => hBOOL(hAPP(hAPP(c_member(T_b),c_Big__Operators_Olinorder__class_OMax(T_b,V_A_2)),V_A_2)) ) ) ) ) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_Min_Oclosed,axiom,
% 163.65/163.57 ! [V_A_2,T_b] :
% 163.65/163.57 ( class_Orderings_Olinorder(T_b)
% 163.65/163.57 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.65/163.57 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.65/163.57 => ( ! [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))))))
% 163.65/163.57 => hBOOL(hAPP(hAPP(c_member(T_b),c_Big__Operators_Olinorder__class_OMin(T_b,V_A_2)),V_A_2)) ) ) ) ) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_nat__size,axiom,
% 163.65/163.57 ! [V_n] : hAPP(c_Nat_Osize__class_Osize(tc_Nat_Onat),V_n) = V_n ).
% 163.65/163.57
% 163.65/163.57 fof(fact_nat_Osize_I3_J,axiom,
% 163.65/163.57 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) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_card__Suc__eq,axiom,
% 163.65/163.57 ! [V_k_2,V_A_2,T_b] :
% 163.65/163.57 ( hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = hAPP(c_Nat_OSuc,V_k_2)
% 163.65/163.57 <=> ? [B_b,B_B] :
% 163.65/163.57 ( V_A_2 = hAPP(hAPP(c_Set_Oinsert(T_b),B_b),B_B)
% 163.65/163.57 & ~ hBOOL(hAPP(hAPP(c_member(T_b),B_b),B_B))
% 163.65/163.57 & hAPP(c_Finite__Set_Ocard(T_b),B_B) = V_k_2
% 163.65/163.57 & ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 163.65/163.57 => B_B = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_finite__SigmaI,axiom,
% 163.65/163.57 ! [V_B_2,T_c,V_A_2,T_b] :
% 163.65/163.57 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.65/163.57 => ( ! [B_a] :
% 163.65/163.57 ( hBOOL(hAPP(hAPP(c_member(T_b),B_a),V_A_2))
% 163.65/163.57 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(V_B_2,B_a))) )
% 163.65/163.57 => 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))) ) ) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_equiv__intrel__iff,axiom,
% 163.65/163.57 ! [V_y_2,V_x_2] :
% 163.65/163.57 ( 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))))
% 163.65/163.57 <=> 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)) ) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_Ints__odd__less__0,axiom,
% 163.65/163.57 ! [V_a_2,T_b] :
% 163.65/163.57 ( class_Rings_Olinordered__idom(T_b)
% 163.65/163.57 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Int_Oring__1__class_OInts(T_b)))
% 163.65/163.57 => ( 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)))
% 163.65/163.57 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_intrel__iff,axiom,
% 163.65/163.57 ! [V_v_2,V_u_2,V_y_2,V_x_2] :
% 163.65/163.57 ( 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))
% 163.65/163.57 <=> 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) ) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_equiv__intrel,axiom,
% 163.65/163.57 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) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_Ints__0,axiom,
% 163.65/163.57 ! [T_b] :
% 163.65/163.57 ( class_Rings_Oring__1(T_b)
% 163.65/163.57 => hBOOL(hAPP(hAPP(c_member(T_b),c_Groups_Ozero__class_Ozero(T_b)),c_Int_Oring__1__class_OInts(T_b))) ) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_Ints__add,axiom,
% 163.65/163.57 ! [V_b_2,V_a_2,T_b] :
% 163.65/163.57 ( class_Rings_Oring__1(T_b)
% 163.65/163.57 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Int_Oring__1__class_OInts(T_b)))
% 163.65/163.57 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),c_Int_Oring__1__class_OInts(T_b)))
% 163.65/163.57 => 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))) ) ) ) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_Ints__mult,axiom,
% 163.65/163.57 ! [V_b_2,V_a_2,T_b] :
% 163.65/163.57 ( class_Rings_Oring__1(T_b)
% 163.65/163.57 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Int_Oring__1__class_OInts(T_b)))
% 163.65/163.57 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),c_Int_Oring__1__class_OInts(T_b)))
% 163.65/163.57 => 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))) ) ) ) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_Ints__diff,axiom,
% 163.65/163.57 ! [V_b_2,V_a_2,T_b] :
% 163.65/163.57 ( class_Rings_Oring__1(T_b)
% 163.65/163.57 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Int_Oring__1__class_OInts(T_b)))
% 163.65/163.57 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),c_Int_Oring__1__class_OInts(T_b)))
% 163.65/163.57 => 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))) ) ) ) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_Ints__1,axiom,
% 163.65/163.57 ! [T_b] :
% 163.65/163.57 ( class_Rings_Oring__1(T_b)
% 163.65/163.57 => hBOOL(hAPP(hAPP(c_member(T_b),c_Groups_Oone__class_Oone(T_b)),c_Int_Oring__1__class_OInts(T_b))) ) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_Ints__minus,axiom,
% 163.65/163.57 ! [V_a_2,T_b] :
% 163.65/163.57 ( class_Rings_Oring__1(T_b)
% 163.65/163.57 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Int_Oring__1__class_OInts(T_b)))
% 163.65/163.57 => 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))) ) ) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_Ints__double__eq__0__iff,axiom,
% 163.65/163.57 ! [V_a_2,T_b] :
% 163.65/163.57 ( class_Int_Oring__char__0(T_b)
% 163.65/163.57 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Int_Oring__1__class_OInts(T_b)))
% 163.65/163.57 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_a_2) = c_Groups_Ozero__class_Ozero(T_b)
% 163.65/163.57 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_Ints__odd__nonzero,axiom,
% 163.65/163.57 ! [V_a_2,T_b] :
% 163.65/163.57 ( class_Int_Oring__char__0(T_b)
% 163.65/163.57 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Int_Oring__1__class_OInts(T_b)))
% 163.65/163.57 => 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) ) ) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_One__int__def,axiom,
% 163.65/163.57 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))))) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_mult,axiom,
% 163.65/163.57 ! [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))))) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_le,axiom,
% 163.65/163.57 ! [V_v_2,V_u_2,V_y_2,V_x_2] :
% 163.65/163.57 ( 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)))))))
% 163.65/163.57 <=> 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))) ) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_less,axiom,
% 163.65/163.57 ! [V_v_2,V_u_2,V_y_2,V_x_2] :
% 163.65/163.57 ( 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)))))))
% 163.65/163.57 <=> 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))) ) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_add,axiom,
% 163.65/163.57 ! [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))))) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_zle__add1__eq__le,axiom,
% 163.65/163.57 ! [V_z_2,V_w_2] :
% 163.65/163.57 ( 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))))
% 163.65/163.57 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_w_2),V_z_2)) ) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_add1__zle__eq,axiom,
% 163.65/163.57 ! [V_z_2,V_w_2] :
% 163.65/163.57 ( 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))
% 163.65/163.57 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2)) ) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_zless__imp__add1__zle,axiom,
% 163.65/163.57 ! [V_z,V_w] :
% 163.65/163.57 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w),V_z))
% 163.65/163.57 => 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)) ) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_zless__add1__eq,axiom,
% 163.65/163.57 ! [V_z_2,V_w_2] :
% 163.65/163.57 ( 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))))
% 163.65/163.57 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2))
% 163.65/163.57 | V_w_2 = V_z_2 ) ) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_zminus__zadd__distrib,axiom,
% 163.65/163.57 ! [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)) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_diff__int__def,axiom,
% 163.65/163.57 ! [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)) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_diff__int__def__symmetric,axiom,
% 163.65/163.57 ! [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) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_zadd__zmult__distrib,axiom,
% 163.65/163.57 ! [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)) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_zadd__zmult__distrib2,axiom,
% 163.65/163.57 ! [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)) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_zadd__strict__right__mono,axiom,
% 163.65/163.57 ! [V_k,V_j,V_i] :
% 163.65/163.57 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_i),V_j))
% 163.65/163.57 => 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))) ) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_zadd__assoc,axiom,
% 163.65/163.57 ! [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)) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_zadd__left__commute,axiom,
% 163.65/163.57 ! [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)) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_zadd__commute,axiom,
% 163.65/163.57 ! [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) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_zadd__zless__mono,axiom,
% 163.65/163.57 ! [V_z,V_z_H,V_w,V_w_H] :
% 163.65/163.57 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_H),V_w))
% 163.65/163.57 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z_H),V_z))
% 163.65/163.57 => 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))) ) ) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_zadd__left__mono,axiom,
% 163.65/163.57 ! [V_k,V_j,V_i] :
% 163.65/163.57 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i),V_j))
% 163.65/163.57 => 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))) ) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_zmult__zminus,axiom,
% 163.65/163.57 ! [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)) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_zdiff__zmult__distrib2,axiom,
% 163.65/163.57 ! [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)) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_zdiff__zmult__distrib,axiom,
% 163.65/163.57 ! [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)) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_zmult__assoc,axiom,
% 163.65/163.57 ! [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)) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_zmult__commute,axiom,
% 163.65/163.57 ! [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) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_zless__linear,axiom,
% 163.65/163.57 ! [V_y,V_x] :
% 163.65/163.57 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_x),V_y))
% 163.65/163.57 | V_x = V_y
% 163.65/163.57 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_y),V_x)) ) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_zless__le,axiom,
% 163.65/163.57 ! [V_w_2,V_z_2] :
% 163.65/163.57 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_z_2),V_w_2))
% 163.65/163.57 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z_2),V_w_2))
% 163.65/163.57 & V_z_2 != V_w_2 ) ) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_zle__refl,axiom,
% 163.65/163.57 ! [V_w] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_w),V_w)) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_zle__linear,axiom,
% 163.65/163.57 ! [V_w,V_z] :
% 163.65/163.57 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z),V_w))
% 163.65/163.57 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_w),V_z)) ) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_zle__trans,axiom,
% 163.65/163.57 ! [V_k,V_j,V_i] :
% 163.65/163.57 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i),V_j))
% 163.65/163.57 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_j),V_k))
% 163.65/163.57 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i),V_k)) ) ) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_zle__antisym,axiom,
% 163.65/163.57 ! [V_w,V_z] :
% 163.65/163.57 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z),V_w))
% 163.65/163.57 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_w),V_z))
% 163.65/163.57 => V_z = V_w ) ) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_zmult__1__right,axiom,
% 163.65/163.57 ! [V_z] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_z),c_Groups_Oone__class_Oone(tc_Int_Oint)) = V_z ).
% 163.65/163.57
% 163.65/163.57 fof(fact_zmult__1,axiom,
% 163.65/163.57 ! [V_z] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_z) = V_z ).
% 163.65/163.57
% 163.65/163.57 fof(fact_zle__diff1__eq,axiom,
% 163.65/163.57 ! [V_z_2,V_w_2] :
% 163.65/163.57 ( 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))))
% 163.65/163.57 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2)) ) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_int__one__le__iff__zero__less,axiom,
% 163.65/163.57 ! [V_z_2] :
% 163.65/163.57 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_z_2))
% 163.65/163.57 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2)) ) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_int__0__neq__1,axiom,
% 163.65/163.57 c_Groups_Ozero__class_Ozero(tc_Int_Oint) != c_Groups_Oone__class_Oone(tc_Int_Oint) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_int__0__less__1,axiom,
% 163.65/163.57 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))) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_pos__zmult__eq__1__iff,axiom,
% 163.65/163.57 ! [V_n_2,V_m_2] :
% 163.65/163.57 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_m_2))
% 163.65/163.57 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_m_2),V_n_2) = c_Groups_Oone__class_Oone(tc_Int_Oint)
% 163.65/163.57 <=> ( V_m_2 = c_Groups_Oone__class_Oone(tc_Int_Oint)
% 163.65/163.57 & V_n_2 = c_Groups_Oone__class_Oone(tc_Int_Oint) ) ) ) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_less__bin__lemma,axiom,
% 163.65/163.57 ! [V_l_2,V_k_2] :
% 163.65/163.57 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),V_l_2))
% 163.65/163.57 <=> 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))) ) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_zmult__zless__mono2,axiom,
% 163.65/163.57 ! [V_k,V_j,V_i] :
% 163.65/163.57 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_i),V_j))
% 163.65/163.57 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k))
% 163.65/163.57 => 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))) ) ) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_zadd__0,axiom,
% 163.65/163.57 ! [V_z] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z) = V_z ).
% 163.65/163.57
% 163.65/163.57 fof(fact_zadd__0__right,axiom,
% 163.65/163.57 ! [V_z] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_z),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = V_z ).
% 163.65/163.57
% 163.65/163.57 fof(fact_zadd__zminus__inverse2,axiom,
% 163.65/163.57 ! [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) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_odd__less__0,axiom,
% 163.65/163.57 ! [V_z_2] :
% 163.65/163.57 ( 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)))
% 163.65/163.57 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_z_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_odd__nonzero,axiom,
% 163.65/163.57 ! [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) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_le__imp__0__less,axiom,
% 163.65/163.57 ! [V_z] :
% 163.65/163.57 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z))
% 163.65/163.57 => 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))) ) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_minus,axiom,
% 163.65/163.57 ! [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))))) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_Zero__int__def,axiom,
% 163.65/163.57 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))))) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_self__quotient__aux2,axiom,
% 163.65/163.57 ! [V_q,V_r,V_a] :
% 163.65/163.57 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 163.65/163.57 => ( 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))
% 163.65/163.57 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r))
% 163.65/163.57 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_q),c_Groups_Oone__class_Oone(tc_Int_Oint))) ) ) ) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_self__quotient__aux1,axiom,
% 163.65/163.57 ! [V_q,V_r,V_a] :
% 163.65/163.57 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 163.65/163.57 => ( 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))
% 163.65/163.57 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r),V_a))
% 163.65/163.57 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_q)) ) ) ) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_zdiv__mono2__neg__lemma,axiom,
% 163.65/163.57 ! [V_r_H,V_q_H,V_b_H,V_r,V_q,V_b] :
% 163.65/163.57 ( 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)
% 163.65/163.57 => ( 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)))
% 163.65/163.57 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r),V_b))
% 163.65/163.57 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r_H))
% 163.65/163.57 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_H))
% 163.65/163.57 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_H),V_b))
% 163.65/163.57 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_q_H),V_q)) ) ) ) ) ) ) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_unique__quotient__lemma__neg,axiom,
% 163.65/163.57 ! [V_r,V_q,V_r_H,V_q_H,V_b] :
% 163.65/163.57 ( 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)))
% 163.65/163.57 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_r),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 163.65/163.57 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),V_r))
% 163.65/163.57 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),V_r_H))
% 163.65/163.57 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_q),V_q_H)) ) ) ) ) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_zdiv__mono2__lemma,axiom,
% 163.65/163.57 ! [V_r_H,V_q_H,V_b_H,V_r,V_q,V_b] :
% 163.65/163.57 ( 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)
% 163.65/163.57 => ( 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)))
% 163.65/163.57 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r_H),V_b_H))
% 163.65/163.57 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r))
% 163.65/163.57 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_H))
% 163.65/163.57 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_H),V_b))
% 163.65/163.57 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_q),V_q_H)) ) ) ) ) ) ) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_zminus__0,axiom,
% 163.65/163.57 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) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_zminus__zminus,axiom,
% 163.65/163.57 ! [V_z] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_z)) = V_z ).
% 163.65/163.57
% 163.65/163.57 fof(fact_q__pos__lemma,axiom,
% 163.65/163.57 ! [V_r_H,V_q_H,V_b_H] :
% 163.65/163.57 ( 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)))
% 163.65/163.57 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r_H),V_b_H))
% 163.65/163.57 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_H))
% 163.65/163.57 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_q_H)) ) ) ) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_q__neg__lemma,axiom,
% 163.65/163.57 ! [V_r_H,V_q_H,V_b_H] :
% 163.65/163.57 ( 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)))
% 163.65/163.57 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r_H))
% 163.65/163.57 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_H))
% 163.65/163.57 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_q_H),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_unique__quotient__lemma,axiom,
% 163.65/163.57 ! [V_r,V_q,V_r_H,V_q_H,V_b] :
% 163.65/163.57 ( 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)))
% 163.65/163.57 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r_H))
% 163.65/163.57 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r_H),V_b))
% 163.65/163.57 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r),V_b))
% 163.65/163.57 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_q_H),V_q)) ) ) ) ) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_minus__int__def,axiom,
% 163.65/163.57 ! [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))))))) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I2_J,axiom,
% 163.65/163.57 ! [V_y,V_x] :
% 163.65/163.57 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 163.65/163.57 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 163.65/163.57 => 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))) ) ) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I6_J,axiom,
% 163.65/163.57 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))) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I1_J,axiom,
% 163.65/163.57 ! [V_y,V_x] :
% 163.65/163.57 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 163.65/163.57 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 163.65/163.57 => 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))) ) ) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_int__ge__less__than2__def,axiom,
% 163.65/163.57 ! [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)))) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_Rep__Integ__inject,axiom,
% 163.65/163.57 ! [V_y_2,V_x_2] :
% 163.65/163.57 ( hAPP(c_Int_ORep__Integ,V_x_2) = hAPP(c_Int_ORep__Integ,V_y_2)
% 163.65/163.57 <=> V_x_2 = V_y_2 ) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_wf__int__ge__less__than2,axiom,
% 163.65/163.57 ! [V_d_2] : c_Wellfounded_Owf(tc_Int_Oint,c_Int_Oint__ge__less__than2(V_d_2)) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_Rep__Integ__inverse,axiom,
% 163.65/163.57 ! [V_x_2] : hAPP(c_Int_OAbs__Integ,hAPP(c_Int_ORep__Integ,V_x_2)) = V_x_2 ).
% 163.65/163.57
% 163.65/163.57 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I5_J,axiom,
% 163.65/163.57 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))) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_int__ge__less__than__def,axiom,
% 163.65/163.57 ! [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)))) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_Nitpick_OFrac__def,axiom,
% 163.65/163.57 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)))) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_divmod__nat__if,axiom,
% 163.65/163.57 ! [V_m_2,V_n_2] :
% 163.65/163.57 ( ( ( V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 163.65/163.57 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) )
% 163.65/163.57 => 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) )
% 163.65/163.57 & ( ~ ( V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 163.65/163.57 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) )
% 163.65/163.57 => 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)) ) ) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_divmod__int__rel__def,axiom,
% 163.65/163.57 ! [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))))))) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_eq__Abs__Integ,axiom,
% 163.65/163.57 ! [V_z_2] :
% 163.65/163.57 ~ ! [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))))) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_wf__int__ge__less__than,axiom,
% 163.65/163.57 ! [V_d_2] : c_Wellfounded_Owf(tc_Int_Oint,c_Int_Oint__ge__less__than(V_d_2)) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_divmod__int__rel__0,axiom,
% 163.65/163.57 ! [V_b] :
% 163.65/163.57 ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 163.65/163.57 => 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)))) ) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_self__remainder,axiom,
% 163.65/163.57 ! [V_r,V_q,V_a] :
% 163.65/163.57 ( 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)))
% 163.65/163.57 => ( V_a != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 163.65/163.57 => V_r = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_unique__quotient,axiom,
% 163.65/163.57 ! [V_r_H,V_q_H,V_r,V_q,V_b,V_a] :
% 163.65/163.57 ( 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)))
% 163.65/163.57 => ( 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)))
% 163.65/163.57 => ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 163.65/163.57 => V_q = V_q_H ) ) ) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_unique__remainder,axiom,
% 163.65/163.57 ! [V_r_H,V_q_H,V_r,V_q,V_b,V_a] :
% 163.65/163.57 ( 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)))
% 163.65/163.57 => ( 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)))
% 163.65/163.57 => ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 163.65/163.57 => V_r = V_r_H ) ) ) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_self__quotient,axiom,
% 163.65/163.57 ! [V_r,V_q,V_a] :
% 163.65/163.57 ( 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)))
% 163.65/163.57 => ( V_a != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 163.65/163.57 => V_q = c_Groups_Oone__class_Oone(tc_Int_Oint) ) ) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_divmod__nat__zero,axiom,
% 163.65/163.57 ! [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) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_zminus1__lemma,axiom,
% 163.65/163.57 ! [V_r_2,V_q_2,V_b_2,V_a_2] :
% 163.65/163.57 ( 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)))
% 163.65/163.57 => 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))))) ) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_divmod__nat__base,axiom,
% 163.65/163.57 ! [V_n,V_m] :
% 163.65/163.57 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 163.65/163.57 => 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) ) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_divmod__int__relI,axiom,
% 163.65/163.57 ! [V_r,V_q,V_b,V_a] :
% 163.65/163.57 ( 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)
% 163.65/163.57 => ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 163.65/163.57 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r))
% 163.65/163.57 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r),V_b)) ) )
% 163.65/163.57 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 163.65/163.57 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),V_r))
% 163.65/163.57 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_r),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) )
% 163.65/163.57 => 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))) ) ) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_int__def,axiom,
% 163.65/163.57 ! [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))))) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_nat,axiom,
% 163.65/163.57 ! [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) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_Integ__def,axiom,
% 163.65/163.57 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) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_tsub__def,axiom,
% 163.65/163.57 ! [V_x,V_y] :
% 163.65/163.57 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_y),V_x))
% 163.65/163.57 => c_Nat__Transfer_Otsub(V_x,V_y) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_x),V_y) )
% 163.65/163.57 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_y),V_x))
% 163.65/163.57 => c_Nat__Transfer_Otsub(V_x,V_y) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_card__Pow,axiom,
% 163.65/163.57 ! [V_A_2,T_b] :
% 163.65/163.57 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.65/163.57 => 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)) ) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_negative__zle,axiom,
% 163.65/163.57 ! [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))) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_negative__zless,axiom,
% 163.65/163.57 ! [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))) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_nat__0__le,axiom,
% 163.65/163.57 ! [V_z] :
% 163.65/163.57 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z))
% 163.65/163.57 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Int_Onat,V_z)) = V_z ) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_int__eq__iff,axiom,
% 163.65/163.57 ! [V_z_2,V_m_2] :
% 163.65/163.57 ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m_2) = V_z_2
% 163.65/163.57 <=> ( V_m_2 = hAPP(c_Int_Onat,V_z_2)
% 163.65/163.57 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2)) ) ) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_int__nat__eq,axiom,
% 163.65/163.57 ! [V_z] :
% 163.65/163.57 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z))
% 163.65/163.57 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Int_Onat,V_z)) = V_z )
% 163.65/163.57 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z))
% 163.65/163.57 => 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) ) ) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_nat__zminus__int,axiom,
% 163.65/163.57 ! [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) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I33_J,axiom,
% 163.65/163.57 ! [V_x,T_a] :
% 163.65/163.57 ( class_Rings_Ocomm__semiring__1(T_a)
% 163.65/163.57 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = V_x ) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_of__nat__eq__iff,axiom,
% 163.65/163.57 ! [V_n_2,V_m_2,T_b] :
% 163.65/163.57 ( class_Nat_Osemiring__char__0(T_b)
% 163.65/163.57 => ( 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)
% 163.65/163.57 <=> V_m_2 = V_n_2 ) ) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_int__int__eq,axiom,
% 163.65/163.57 ! [V_n_2,V_m_2] :
% 163.65/163.57 ( 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)
% 163.65/163.57 <=> V_m_2 = V_n_2 ) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_nat__int,axiom,
% 163.65/163.57 ! [V_n] : hAPP(c_Int_Onat,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n)) = V_n ).
% 163.65/163.57
% 163.65/163.57 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I31_J,axiom,
% 163.65/163.57 ! [V_q,V_p,V_x,T_a] :
% 163.65/163.57 ( class_Rings_Ocomm__semiring__1(T_a)
% 163.65/163.57 => 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)) ) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_zless__nat__eq__int__zless,axiom,
% 163.65/163.57 ! [V_z_2,V_m_2] :
% 163.65/163.57 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),hAPP(c_Int_Onat,V_z_2)))
% 163.65/163.57 <=> 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)) ) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I30_J,axiom,
% 163.65/163.57 ! [V_q,V_y,V_x,T_a] :
% 163.65/163.57 ( class_Rings_Ocomm__semiring__1(T_a)
% 163.65/163.57 => 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)) ) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_transfer__nat__int__set__relations_I4_J,axiom,
% 163.65/163.57 ! [V_B_2,V_A_2] :
% 163.65/163.57 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(tc_Nat_Onat,tc_HOL_Obool)),V_A_2),V_B_2))
% 163.65/163.57 <=> 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))) ) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_transfer__nat__int__set__relations_I5_J,axiom,
% 163.65/163.57 ! [V_B_2,V_A_2] :
% 163.65/163.57 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Nat_Onat,tc_HOL_Obool)),V_A_2),V_B_2))
% 163.65/163.57 <=> 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))) ) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_Nat__Transfer_Otransfer__int__nat__set__functions_I2_J,axiom,
% 163.65/163.57 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))) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_Nat__Transfer_Otransfer__nat__int__set__functions_I2_J,axiom,
% 163.65/163.57 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))) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_transfer__nat__int__set__relations_I3_J,axiom,
% 163.65/163.57 ! [V_B_2,V_A_2] :
% 163.65/163.57 ( V_A_2 = V_B_2
% 163.65/163.57 <=> 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) ) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_transfer__int__nat__set__return__embed,axiom,
% 163.65/163.57 ! [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 ).
% 163.65/163.57
% 163.65/163.57 fof(fact_transfer__int__nat__relations_I1_J,axiom,
% 163.65/163.57 ! [V_y_2,V_x_2] :
% 163.65/163.57 ( 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)
% 163.65/163.57 <=> V_x_2 = V_y_2 ) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_Nat__Transfer_Otransfer__nat__int__set__functions_I4_J,axiom,
% 163.65/163.57 ! [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))) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_Nat__Transfer_Otransfer__nat__int__set__functions_I3_J,axiom,
% 163.65/163.57 ! [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))) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_Nat__Transfer_Otransfer__int__nat__functions_I3_J,axiom,
% 163.65/163.57 ! [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)) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_transfer__nat__int__set__relations_I2_J,axiom,
% 163.65/163.57 ! [V_A_2,V_x_2] :
% 163.65/163.57 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),V_x_2),V_A_2))
% 163.65/163.57 <=> 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))) ) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_inj__int,axiom,
% 163.65/163.57 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))) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_Nat__Transfer_Otransfer__nat__int__set__functions_I1_J,axiom,
% 163.65/163.57 ! [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)) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_transfer__nat__int__set__relations_I1_J,axiom,
% 163.65/163.57 ! [V_A_2] :
% 163.65/163.57 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),V_A_2))
% 163.65/163.57 <=> 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))) ) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_nat__eq__iff2,axiom,
% 163.65/163.57 ! [V_w_2,V_m_2] :
% 163.65/163.57 ( V_m_2 = hAPP(c_Int_Onat,V_w_2)
% 163.65/163.57 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_w_2))
% 163.65/163.57 => V_w_2 = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m_2) )
% 163.65/163.57 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_w_2))
% 163.65/163.57 => V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_nat__eq__iff,axiom,
% 163.65/163.57 ! [V_m_2,V_w_2] :
% 163.65/163.57 ( hAPP(c_Int_Onat,V_w_2) = V_m_2
% 163.65/163.57 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_w_2))
% 163.65/163.57 => V_w_2 = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m_2) )
% 163.65/163.57 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_w_2))
% 163.65/163.57 => V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_split__nat,axiom,
% 163.65/163.57 ! [V_i_2,V_P_2] :
% 163.65/163.57 ( hBOOL(hAPP(V_P_2,hAPP(c_Int_Onat,V_i_2)))
% 163.65/163.57 <=> ( ! [B_n] :
% 163.65/163.57 ( V_i_2 = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),B_n)
% 163.65/163.57 => hBOOL(hAPP(V_P_2,B_n)) )
% 163.65/163.57 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_i_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 163.65/163.57 => hBOOL(hAPP(V_P_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ) ) ) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_nat__less__iff,axiom,
% 163.65/163.57 ! [V_m_2,V_w_2] :
% 163.65/163.57 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_w_2))
% 163.65/163.57 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Int_Onat,V_w_2)),V_m_2))
% 163.65/163.57 <=> 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))) ) ) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I28_J,axiom,
% 163.65/163.57 ! [V_q,V_x,T_a] :
% 163.65/163.57 ( class_Rings_Ocomm__semiring__1(T_a)
% 163.65/163.57 => 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)) ) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I27_J,axiom,
% 163.65/163.57 ! [V_q,V_x,T_a] :
% 163.65/163.57 ( class_Rings_Ocomm__semiring__1(T_a)
% 163.65/163.57 => 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)) ) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I35_J,axiom,
% 163.65/163.57 ! [V_q,V_x,T_a] :
% 163.65/163.57 ( class_Rings_Ocomm__semiring__1(T_a)
% 163.65/163.57 => 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)) ) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_transfer__nat__int__numerals_I1_J,axiom,
% 163.65/163.57 c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = hAPP(c_Int_Onat,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_nat__0,axiom,
% 163.65/163.57 hAPP(c_Int_Onat,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I32_J,axiom,
% 163.65/163.57 ! [V_x,T_a] :
% 163.65/163.57 ( class_Rings_Ocomm__semiring__1(T_a)
% 163.65/163.57 => 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) ) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I26_J,axiom,
% 163.65/163.57 ! [V_q,V_p,V_x,T_a] :
% 163.65/163.57 ( class_Rings_Ocomm__semiring__1(T_a)
% 163.65/163.57 => 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)) ) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_Nat__Transfer_Otransfer__nat__int__functions_I3_J,axiom,
% 163.65/163.57 ! [V_y,V_x] :
% 163.65/163.57 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 163.65/163.57 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 163.65/163.57 => 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)) ) ) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_ex__nat,axiom,
% 163.65/163.57 ! [V_P_2] :
% 163.65/163.57 ( ? [B_x1] : hBOOL(hAPP(V_P_2,B_x1))
% 163.65/163.57 <=> ? [B_x] :
% 163.65/163.57 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x))
% 163.65/163.57 & hBOOL(hAPP(V_P_2,hAPP(c_Int_Onat,B_x))) ) ) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_all__nat,axiom,
% 163.65/163.57 ! [V_P_2] :
% 163.65/163.57 ( ! [B_x1] : hBOOL(hAPP(V_P_2,B_x1))
% 163.65/163.57 <=> ! [B_x] :
% 163.65/163.57 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x))
% 163.65/163.57 => hBOOL(hAPP(V_P_2,hAPP(c_Int_Onat,B_x))) ) ) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_transfer__nat__int__relations_I1_J,axiom,
% 163.65/163.57 ! [V_y_2,V_x_2] :
% 163.65/163.57 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x_2))
% 163.65/163.57 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y_2))
% 163.65/163.57 => ( hAPP(c_Int_Onat,V_x_2) = hAPP(c_Int_Onat,V_y_2)
% 163.65/163.57 <=> V_x_2 = V_y_2 ) ) ) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_eq__nat__nat__iff,axiom,
% 163.65/163.57 ! [V_z_H_2,V_z_2] :
% 163.65/163.57 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2))
% 163.65/163.57 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_H_2))
% 163.65/163.57 => ( hAPP(c_Int_Onat,V_z_2) = hAPP(c_Int_Onat,V_z_H_2)
% 163.65/163.57 <=> V_z_2 = V_z_H_2 ) ) ) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_transfer__int__nat__numerals_I1_J,axiom,
% 163.65/163.57 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)) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_int__0,axiom,
% 163.65/163.57 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) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_int__eq__0__conv,axiom,
% 163.65/163.57 ! [V_n_2] :
% 163.65/163.57 ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n_2) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 163.65/163.57 <=> V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I9_J,axiom,
% 163.65/163.57 ! [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))) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_transfer__int__nat__quantifiers_I2_J,axiom,
% 163.65/163.57 ! [V_P_2] :
% 163.65/163.57 ( ? [B_x] :
% 163.65/163.57 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x))
% 163.65/163.57 & hBOOL(hAPP(V_P_2,B_x)) )
% 163.65/163.57 <=> ? [B_x] : hBOOL(hAPP(V_P_2,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),B_x))) ) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_transfer__int__nat__quantifiers_I1_J,axiom,
% 163.65/163.57 ! [V_P_2] :
% 163.65/163.57 ( ! [B_x] :
% 163.65/163.57 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x))
% 163.65/163.57 => hBOOL(hAPP(V_P_2,B_x)) )
% 163.65/163.57 <=> ! [B_x] : hBOOL(hAPP(V_P_2,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),B_x))) ) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_zero__zle__int,axiom,
% 163.65/163.57 ! [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))) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_int__less__0__conv,axiom,
% 163.65/163.57 ! [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))) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_transfer__int__nat__relations_I2_J,axiom,
% 163.65/163.57 ! [V_y_2,V_x_2] :
% 163.65/163.57 ( 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)))
% 163.65/163.57 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x_2),V_y_2)) ) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_zless__int,axiom,
% 163.65/163.57 ! [V_n_2,V_m_2] :
% 163.65/163.57 ( 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)))
% 163.65/163.57 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_transfer__int__nat__relations_I3_J,axiom,
% 163.65/163.57 ! [V_y_2,V_x_2] :
% 163.65/163.57 ( 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)))
% 163.65/163.57 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_x_2),V_y_2)) ) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_zle__int,axiom,
% 163.65/163.57 ! [V_n_2,V_m_2] :
% 163.65/163.57 ( 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)))
% 163.65/163.57 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_Nat__Transfer_Otransfer__int__nat__functions_I1_J,axiom,
% 163.65/163.57 ! [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)) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_zadd__int__left,axiom,
% 163.65/163.57 ! [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) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_zadd__int,axiom,
% 163.65/163.57 ! [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)) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_zle__iff__zadd,axiom,
% 163.65/163.57 ! [V_z_2,V_w_2] :
% 163.65/163.57 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_w_2),V_z_2))
% 163.65/163.57 <=> ? [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)) ) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_zero__le__imp__of__nat,axiom,
% 163.65/163.57 ! [V_m,T_a] :
% 163.65/163.57 ( class_Rings_Olinordered__semidom(T_a)
% 163.65/163.57 => 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))) ) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_of__nat__0__le__iff,axiom,
% 163.65/163.57 ! [V_n,T_a] :
% 163.65/163.57 ( class_Rings_Olinordered__semidom(T_a)
% 163.65/163.57 => 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))) ) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_negative__eq__positive,axiom,
% 163.65/163.57 ! [V_m_2,V_n_2] :
% 163.65/163.57 ( 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)
% 163.65/163.57 <=> ( V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 163.65/163.57 & V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_of__nat__less__0__iff,axiom,
% 163.65/163.57 ! [V_m,T_a] :
% 163.65/163.57 ( class_Rings_Olinordered__semidom(T_a)
% 163.65/163.57 => ~ 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))) ) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_transfer__nat__int__numerals_I2_J,axiom,
% 163.65/163.57 c_Groups_Oone__class_Oone(tc_Nat_Onat) = hAPP(c_Int_Onat,c_Groups_Oone__class_Oone(tc_Int_Oint)) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_not__int__zless__negative,axiom,
% 163.65/163.57 ! [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)))) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_Nat__Transfer_Otransfer__int__nat__functions_I2_J,axiom,
% 163.65/163.57 ! [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)) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_int__mult,axiom,
% 163.65/163.57 ! [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)) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_zmult__int,axiom,
% 163.65/163.57 ! [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)) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_of__nat__0,axiom,
% 163.65/163.57 ! [T_a] :
% 163.65/163.57 ( class_Rings_Osemiring__1(T_a)
% 163.65/163.57 => 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) ) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_of__nat__less__imp__less,axiom,
% 163.65/163.57 ! [V_n,V_m,T_a] :
% 163.65/163.57 ( class_Rings_Olinordered__semidom(T_a)
% 163.65/163.57 => ( 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)))
% 163.65/163.57 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_less__imp__of__nat__less,axiom,
% 163.65/163.57 ! [V_n,V_m,T_a] :
% 163.65/163.57 ( class_Rings_Olinordered__semidom(T_a)
% 163.65/163.57 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 163.65/163.57 => 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))) ) ) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_of__nat__less__iff,axiom,
% 163.65/163.57 ! [V_n_2,V_m_2,T_b] :
% 163.65/163.57 ( class_Rings_Olinordered__semidom(T_b)
% 163.65/163.57 => ( 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)))
% 163.65/163.57 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_transfer__int__nat__numerals_I2_J,axiom,
% 163.65/163.57 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)) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_int__1,axiom,
% 163.65/163.57 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) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_of__nat__le__iff,axiom,
% 163.65/163.57 ! [V_n_2,V_m_2,T_b] :
% 163.65/163.57 ( class_Rings_Olinordered__semidom(T_b)
% 163.65/163.57 => ( 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)))
% 163.65/163.57 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_of__nat__add,axiom,
% 163.65/163.57 ! [V_n,V_m,T_a] :
% 163.65/163.57 ( class_Rings_Osemiring__1(T_a)
% 163.65/163.57 => 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)) ) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_Ints__power,axiom,
% 163.65/163.57 ! [V_n_2,V_a_2,T_b] :
% 163.65/163.57 ( class_Rings_Oring__1(T_b)
% 163.65/163.57 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Int_Oring__1__class_OInts(T_b)))
% 163.65/163.57 => 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))) ) ) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_of__nat__mult,axiom,
% 163.65/163.57 ! [V_n,V_m,T_a] :
% 163.65/163.57 ( class_Rings_Osemiring__1(T_a)
% 163.65/163.57 => 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)) ) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_of__nat__1,axiom,
% 163.65/163.57 ! [T_a] :
% 163.65/163.57 ( class_Rings_Osemiring__1(T_a)
% 163.65/163.57 => 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) ) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_Ints__of__nat,axiom,
% 163.65/163.57 ! [V_n_2,T_b] :
% 163.65/163.57 ( class_Rings_Oring__1(T_b)
% 163.65/163.57 => 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))) ) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_nat__def,axiom,
% 163.65/163.57 ! [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)))))) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_inj__of__nat,axiom,
% 163.65/163.57 ! [T_b] :
% 163.65/163.57 ( class_Nat_Osemiring__char__0(T_b)
% 163.65/163.57 => 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))) ) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_nat__le__0,axiom,
% 163.65/163.57 ! [V_z] :
% 163.65/163.57 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 163.65/163.57 => hAPP(c_Int_Onat,V_z) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_nat__0__iff,axiom,
% 163.65/163.57 ! [V_i_2] :
% 163.65/163.57 ( hAPP(c_Int_Onat,V_i_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 163.65/163.57 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_nat__mono__iff,axiom,
% 163.65/163.57 ! [V_w_2,V_z_2] :
% 163.65/163.57 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2))
% 163.65/163.57 => ( 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)))
% 163.65/163.57 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2)) ) ) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_zless__nat__conj,axiom,
% 163.65/163.57 ! [V_z_2,V_w_2] :
% 163.65/163.57 ( 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)))
% 163.65/163.57 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2))
% 163.65/163.57 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2)) ) ) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_transfer__nat__int__relations_I3_J,axiom,
% 163.65/163.57 ! [V_y_2,V_x_2] :
% 163.65/163.57 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x_2))
% 163.65/163.57 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y_2))
% 163.65/163.57 => ( 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)))
% 163.65/163.57 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_x_2),V_y_2)) ) ) ) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_nat__1,axiom,
% 163.65/163.57 hAPP(c_Int_Onat,c_Groups_Oone__class_Oone(tc_Int_Oint)) = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_int__le__0__conv,axiom,
% 163.65/163.57 ! [V_n_2] :
% 163.65/163.57 ( 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)))
% 163.65/163.57 <=> V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_int__Suc0__eq__1,axiom,
% 163.65/163.57 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) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_zless__iff__Suc__zadd,axiom,
% 163.65/163.57 ! [V_z_2,V_w_2] :
% 163.65/163.57 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2))
% 163.65/163.57 <=> ? [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))) ) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_int__zle__neg,axiom,
% 163.65/163.57 ! [V_m_2,V_n_2] :
% 163.65/163.57 ( 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))))
% 163.65/163.57 <=> ( V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 163.65/163.57 & V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_int__Suc,axiom,
% 163.65/163.57 ! [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)) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_negative__zle__0,axiom,
% 163.65/163.57 ! [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))) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_zdiff__int,axiom,
% 163.65/163.57 ! [V_m,V_n] :
% 163.65/163.57 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m))
% 163.65/163.57 => 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)) ) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_of__nat__Suc,axiom,
% 163.65/163.57 ! [V_m,T_a] :
% 163.65/163.57 ( class_Rings_Osemiring__1(T_a)
% 163.65/163.57 => 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)) ) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_of__nat__diff,axiom,
% 163.65/163.57 ! [V_m,V_n,T_a] :
% 163.65/163.57 ( class_Rings_Oring__1(T_a)
% 163.65/163.57 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m))
% 163.65/163.57 => 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)) ) ) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_Rep__Integ,axiom,
% 163.65/163.57 ! [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)) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_Nat__Transfer_Otransfer__nat__int__set__functions_I5_J,axiom,
% 163.65/163.57 ! [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)))) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_Nat__Transfer_Otransfer__int__nat__set__functions_I5_J,axiom,
% 163.65/163.57 ! [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)))) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_zero__less__nat__eq,axiom,
% 163.65/163.57 ! [V_z_2] :
% 163.65/163.57 ( 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)))
% 163.65/163.57 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2)) ) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_transfer__nat__int__relations_I2_J,axiom,
% 163.65/163.57 ! [V_y_2,V_x_2] :
% 163.65/163.57 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x_2))
% 163.65/163.57 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y_2))
% 163.65/163.57 => ( 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)))
% 163.65/163.57 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_x_2),V_y_2)) ) ) ) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_nat__less__eq__zless,axiom,
% 163.65/163.57 ! [V_z_2,V_w_2] :
% 163.65/163.57 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_w_2))
% 163.65/163.57 => ( 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)))
% 163.65/163.57 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2)) ) ) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_nat__le__eq__zle,axiom,
% 163.65/163.57 ! [V_z_2,V_w_2] :
% 163.65/163.57 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_w_2))
% 163.65/163.57 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2)) )
% 163.65/163.57 => ( 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)))
% 163.65/163.57 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_w_2),V_z_2)) ) ) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_Nat__Transfer_Otransfer__nat__int__functions_I1_J,axiom,
% 163.65/163.57 ! [V_y,V_x] :
% 163.65/163.57 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 163.65/163.57 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 163.65/163.57 => 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)) ) ) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_nat__add__distrib,axiom,
% 163.65/163.57 ! [V_z_H,V_z] :
% 163.65/163.57 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z))
% 163.65/163.57 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_H))
% 163.65/163.57 => 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)) ) ) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_zero__less__int__conv,axiom,
% 163.65/163.57 ! [V_n_2] :
% 163.65/163.57 ( 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)))
% 163.65/163.57 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n_2)) ) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_Nat__Transfer_Otransfer__nat__int__functions_I2_J,axiom,
% 163.65/163.57 ! [V_y,V_x] :
% 163.65/163.57 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 163.65/163.57 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 163.65/163.57 => 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)) ) ) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_nat__mult__distrib,axiom,
% 163.65/163.57 ! [V_z_H,V_z] :
% 163.65/163.57 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z))
% 163.65/163.57 => 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)) ) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_nat__diff__distrib,axiom,
% 163.65/163.57 ! [V_z,V_z_H] :
% 163.65/163.57 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_H))
% 163.65/163.57 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z_H),V_z))
% 163.65/163.57 => 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)) ) ) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_zmult__zless__mono2__lemma,axiom,
% 163.65/163.57 ! [V_k,V_j,V_i] :
% 163.65/163.57 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_i),V_j))
% 163.65/163.57 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k))
% 163.65/163.57 => 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))) ) ) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_not__zle__0__negative,axiom,
% 163.65/163.57 ! [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))))) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_negative__zless__0,axiom,
% 163.65/163.57 ! [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))) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_power__eq__if,axiom,
% 163.65/163.57 ! [V_p,V_m] :
% 163.65/163.57 ( ( V_m = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 163.65/163.57 => hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),V_p),V_m) = c_Groups_Oone__class_Oone(tc_Nat_Onat) )
% 163.65/163.57 & ( V_m != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 163.65/163.57 => 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)))) ) ) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_of__nat__0__less__iff,axiom,
% 163.65/163.57 ! [V_n_2,T_b] :
% 163.65/163.57 ( class_Rings_Olinordered__semidom(T_b)
% 163.65/163.57 => ( 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)))
% 163.65/163.57 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n_2)) ) ) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_one__less__nat__eq,axiom,
% 163.65/163.57 ! [V_z_2] :
% 163.65/163.57 ( 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)))
% 163.65/163.57 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_z_2)) ) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_Suc__nat__eq__nat__zadd1,axiom,
% 163.65/163.57 ! [V_z] :
% 163.65/163.57 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z))
% 163.65/163.57 => 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)) ) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I3_J,axiom,
% 163.65/163.57 ! [V_y,V_x] :
% 163.65/163.57 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 163.65/163.57 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 163.65/163.57 => 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))) ) ) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_nat__mult__distrib__neg,axiom,
% 163.65/163.57 ! [V_z_H,V_z] :
% 163.65/163.57 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 163.65/163.57 => 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))) ) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_tsub__eq,axiom,
% 163.65/163.57 ! [V_x,V_y] :
% 163.65/163.57 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_y),V_x))
% 163.65/163.57 => c_Nat__Transfer_Otsub(V_x,V_y) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_x),V_y) ) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_zdiff__int__split,axiom,
% 163.65/163.57 ! [V_y_2,V_x_2,V_P_2] :
% 163.65/163.57 ( 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))))
% 163.65/163.57 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_y_2),V_x_2))
% 163.65/163.57 => 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)))) )
% 163.65/163.57 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x_2),V_y_2))
% 163.65/163.57 => hBOOL(hAPP(V_P_2,c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_power__strict__mono,axiom,
% 163.65/163.57 ! [V_n,V_b,V_a,T_a] :
% 163.65/163.57 ( class_Rings_Olinordered__semidom(T_a)
% 163.65/163.57 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 163.65/163.57 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 163.65/163.57 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 163.65/163.57 => 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))) ) ) ) ) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_one__less__power,axiom,
% 163.65/163.57 ! [V_n,V_a,T_a] :
% 163.65/163.57 ( class_Rings_Olinordered__semidom(T_a)
% 163.65/163.57 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_a))
% 163.65/163.57 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 163.65/163.57 => 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))) ) ) ) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_power__le__imp__le__exp,axiom,
% 163.65/163.57 ! [V_n,V_m,V_a,T_a] :
% 163.65/163.57 ( class_Rings_Olinordered__semidom(T_a)
% 163.65/163.57 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_a))
% 163.65/163.57 => ( 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)))
% 163.65/163.57 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) ) ) ) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_power__increasing__iff,axiom,
% 163.65/163.57 ! [V_y_2,V_x_2,V_b_2,T_b] :
% 163.65/163.57 ( class_Rings_Olinordered__semidom(T_b)
% 163.65/163.57 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Oone__class_Oone(T_b)),V_b_2))
% 163.65/163.57 => ( 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)))
% 163.65/163.57 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_x_2),V_y_2)) ) ) ) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_zpower__zpower,axiom,
% 163.65/163.57 ! [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)) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_infinite__UNIV__int,axiom,
% 163.65/163.57 ~ hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint),c_Orderings_Otop__class_Otop(tc_fun(tc_Int_Oint,tc_HOL_Obool)))) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I4_J,axiom,
% 163.65/163.57 ! [V_n,V_x] :
% 163.65/163.57 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 163.65/163.57 => 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))) ) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_zpower__zadd__distrib,axiom,
% 163.65/163.57 ! [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)) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_Nat__Transfer_Otransfer__int__nat__functions_I4_J,axiom,
% 163.65/163.57 ! [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)) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_int__power,axiom,
% 163.65/163.57 ! [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) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_zpower__int,axiom,
% 163.65/163.57 ! [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)) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_Nat__Transfer_Otransfer__nat__int__functions_I4_J,axiom,
% 163.65/163.57 ! [V_n,V_x] :
% 163.65/163.57 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 163.65/163.57 => 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)) ) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_nat__power__eq,axiom,
% 163.65/163.57 ! [V_n,V_z] :
% 163.65/163.57 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z))
% 163.65/163.57 => 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) ) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_field__power__not__zero,axiom,
% 163.65/163.57 ! [V_n,V_a,T_a] :
% 163.65/163.57 ( class_Rings_Oring__1__no__zero__divisors(T_a)
% 163.65/163.57 => ( V_a != c_Groups_Ozero__class_Ozero(T_a)
% 163.65/163.57 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n) != c_Groups_Ozero__class_Ozero(T_a) ) ) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_power__commutes,axiom,
% 163.65/163.57 ! [V_n,V_a,T_a] :
% 163.65/163.57 ( class_Groups_Omonoid__mult(T_a)
% 163.65/163.57 => 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)) ) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_power__mult__distrib,axiom,
% 163.65/163.57 ! [V_n,V_b,V_a,T_a] :
% 163.65/163.57 ( class_Groups_Ocomm__monoid__mult(T_a)
% 163.65/163.57 => 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)) ) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_power__one,axiom,
% 163.65/163.57 ! [V_n,T_a] :
% 163.65/163.57 ( class_Groups_Omonoid__mult(T_a)
% 163.65/163.57 => 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) ) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_power__mult,axiom,
% 163.65/163.57 ! [V_n,V_m,V_a,T_a] :
% 163.65/163.57 ( class_Groups_Omonoid__mult(T_a)
% 163.65/163.57 => 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) ) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_power__one__right,axiom,
% 163.65/163.57 ! [V_a,T_a] :
% 163.65/163.57 ( class_Groups_Omonoid__mult(T_a)
% 163.65/163.57 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = V_a ) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_zero__le__power,axiom,
% 163.65/163.57 ! [V_n,V_a,T_a] :
% 163.65/163.57 ( class_Rings_Olinordered__semidom(T_a)
% 163.65/163.57 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 163.65/163.57 => 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))) ) ) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_power__mono,axiom,
% 163.65/163.57 ! [V_n,V_b,V_a,T_a] :
% 163.65/163.57 ( class_Rings_Olinordered__semidom(T_a)
% 163.65/163.57 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 163.65/163.57 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 163.65/163.57 => 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))) ) ) ) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_zero__less__power,axiom,
% 163.65/163.57 ! [V_n,V_a,T_a] :
% 163.65/163.57 ( class_Rings_Olinordered__semidom(T_a)
% 163.65/163.57 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 163.65/163.57 => 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))) ) ) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_power__eq__0__iff,axiom,
% 163.65/163.57 ! [V_n_2,V_a_2,T_b] :
% 163.65/163.57 ( ( class_Power_Opower(T_b)
% 163.65/163.57 & class_Rings_Omult__zero(T_b)
% 163.65/163.57 & class_Rings_Ono__zero__divisors(T_b)
% 163.65/163.57 & class_Rings_Ozero__neq__one(T_b) )
% 163.65/163.57 => ( hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_a_2),V_n_2) = c_Groups_Ozero__class_Ozero(T_b)
% 163.65/163.57 <=> ( V_a_2 = c_Groups_Ozero__class_Ozero(T_b)
% 163.65/163.57 & V_n_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_one__le__power,axiom,
% 163.65/163.57 ! [V_n,V_a,T_a] :
% 163.65/163.57 ( class_Rings_Olinordered__semidom(T_a)
% 163.65/163.57 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Oone__class_Oone(T_a)),V_a))
% 163.65/163.57 => 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))) ) ) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_power__0__Suc,axiom,
% 163.65/163.57 ! [V_n,T_a] :
% 163.65/163.57 ( ( class_Power_Opower(T_a)
% 163.65/163.57 & class_Rings_Osemiring__0(T_a) )
% 163.65/163.57 => 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) ) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_power__inject__exp,axiom,
% 163.65/163.57 ! [V_n_2,V_m_2,V_a_2,T_b] :
% 163.65/163.57 ( class_Rings_Olinordered__semidom(T_b)
% 163.65/163.57 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Oone__class_Oone(T_b)),V_a_2))
% 163.65/163.57 => ( 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)
% 163.65/163.57 <=> V_m_2 = V_n_2 ) ) ) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_power__Suc2,axiom,
% 163.65/163.57 ! [V_n,V_a,T_a] :
% 163.65/163.57 ( class_Groups_Omonoid__mult(T_a)
% 163.65/163.57 => 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) ) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_power__Suc,axiom,
% 163.65/163.57 ! [V_n,V_a,T_a] :
% 163.65/163.57 ( class_Power_Opower(T_a)
% 163.65/163.57 => 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)) ) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_power__0,axiom,
% 163.65/163.57 ! [V_a,T_a] :
% 163.65/163.57 ( class_Power_Opower(T_a)
% 163.65/163.57 => 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) ) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_power__add,axiom,
% 163.65/163.57 ! [V_n,V_m,V_a,T_a] :
% 163.65/163.57 ( class_Groups_Omonoid__mult(T_a)
% 163.65/163.57 => 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)) ) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_power__Suc__0,axiom,
% 163.65/163.57 ! [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)) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_nat__power__eq__Suc__0__iff,axiom,
% 163.65/163.57 ! [V_m_2,V_x_2] :
% 163.65/163.57 ( 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))
% 163.65/163.57 <=> ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 163.65/163.57 | V_x_2 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ) ) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_nat__zero__less__power__iff,axiom,
% 163.65/163.57 ! [V_n_2,V_x_2] :
% 163.65/163.57 ( 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)))
% 163.65/163.57 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_x_2))
% 163.65/163.57 | V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_nat__power__less__imp__less,axiom,
% 163.65/163.57 ! [V_n,V_m,V_i] :
% 163.65/163.57 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_i))
% 163.65/163.57 => ( 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)))
% 163.65/163.57 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_of__nat__power,axiom,
% 163.65/163.57 ! [V_n,V_m,T_a] :
% 163.65/163.57 ( class_Rings_Osemiring__1(T_a)
% 163.65/163.57 => 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) ) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_power__less__imp__less__base,axiom,
% 163.65/163.57 ! [V_b,V_n,V_a,T_a] :
% 163.65/163.57 ( class_Rings_Olinordered__semidom(T_a)
% 163.65/163.57 => ( 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)))
% 163.65/163.57 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 163.65/163.57 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_power__inject__base,axiom,
% 163.65/163.57 ! [V_b,V_n,V_a,T_a] :
% 163.65/163.57 ( class_Rings_Olinordered__semidom(T_a)
% 163.65/163.57 => ( 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))
% 163.65/163.57 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 163.65/163.57 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 163.65/163.57 => V_a = V_b ) ) ) ) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_power__le__imp__le__base,axiom,
% 163.65/163.57 ! [V_b,V_n,V_a,T_a] :
% 163.65/163.57 ( class_Rings_Olinordered__semidom(T_a)
% 163.65/163.57 => ( 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))))
% 163.65/163.57 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 163.65/163.57 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) ) ) ) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_power__less__power__Suc,axiom,
% 163.65/163.57 ! [V_n,V_a,T_a] :
% 163.65/163.57 ( class_Rings_Olinordered__semidom(T_a)
% 163.65/163.57 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_a))
% 163.65/163.57 => 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)))) ) ) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_power__gt1__lemma,axiom,
% 163.65/163.57 ! [V_n,V_a,T_a] :
% 163.65/163.57 ( class_Rings_Olinordered__semidom(T_a)
% 163.65/163.57 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_a))
% 163.65/163.57 => 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)))) ) ) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_power__0__left,axiom,
% 163.65/163.57 ! [V_n,T_a] :
% 163.65/163.57 ( ( class_Power_Opower(T_a)
% 163.65/163.57 & class_Rings_Osemiring__0(T_a) )
% 163.65/163.57 => ( ( V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 163.65/163.57 => 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) )
% 163.65/163.57 & ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 163.65/163.57 => 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) ) ) ) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_power__gt1,axiom,
% 163.65/163.57 ! [V_n,V_a,T_a] :
% 163.65/163.57 ( class_Rings_Olinordered__semidom(T_a)
% 163.65/163.57 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_a))
% 163.65/163.57 => 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)))) ) ) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_power__strict__increasing__iff,axiom,
% 163.65/163.57 ! [V_y_2,V_x_2,V_b_2,T_b] :
% 163.65/163.57 ( class_Rings_Olinordered__semidom(T_b)
% 163.65/163.57 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Oone__class_Oone(T_b)),V_b_2))
% 163.65/163.57 => ( 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)))
% 163.65/163.57 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x_2),V_y_2)) ) ) ) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_power__less__imp__less__exp,axiom,
% 163.65/163.57 ! [V_n,V_m,V_a,T_a] :
% 163.65/163.57 ( class_Rings_Olinordered__semidom(T_a)
% 163.65/163.57 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_a))
% 163.65/163.57 => ( 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)))
% 163.65/163.57 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ) ) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_power__strict__increasing,axiom,
% 163.65/163.57 ! [V_a,V_N,V_n,T_a] :
% 163.65/163.57 ( class_Rings_Olinordered__semidom(T_a)
% 163.65/163.57 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),V_N))
% 163.65/163.57 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_a))
% 163.65/163.57 => 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))) ) ) ) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_power__increasing,axiom,
% 163.65/163.57 ! [V_a,V_N,V_n,T_a] :
% 163.65/163.57 ( class_Rings_Olinordered__semidom(T_a)
% 163.65/163.57 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_N))
% 163.65/163.57 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Oone__class_Oone(T_a)),V_a))
% 163.65/163.57 => 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))) ) ) ) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_power__minus,axiom,
% 163.65/163.57 ! [V_n,V_a,T_a] :
% 163.65/163.57 ( class_Rings_Oring__1(T_a)
% 163.65/163.57 => 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)) ) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_nat__one__le__power,axiom,
% 163.65/163.57 ! [V_n,V_i] :
% 163.65/163.57 ( 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))
% 163.65/163.57 => 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))) ) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_power__Suc__less,axiom,
% 163.65/163.57 ! [V_n,V_a,T_a] :
% 163.65/163.57 ( class_Rings_Olinordered__semidom(T_a)
% 163.65/163.57 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 163.65/163.57 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Oone__class_Oone(T_a)))
% 163.65/163.57 => 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))) ) ) ) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_power__eq__imp__eq__base,axiom,
% 163.65/163.57 ! [V_b,V_n,V_a,T_a] :
% 163.65/163.57 ( class_Rings_Olinordered__semidom(T_a)
% 163.65/163.57 => ( 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)
% 163.65/163.57 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 163.65/163.57 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 163.65/163.57 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 163.65/163.57 => V_a = V_b ) ) ) ) ) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_power__Suc__less__one,axiom,
% 163.65/163.57 ! [V_n,V_a,T_a] :
% 163.65/163.57 ( class_Rings_Olinordered__semidom(T_a)
% 163.65/163.57 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 163.65/163.57 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Oone__class_Oone(T_a)))
% 163.65/163.57 => 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))) ) ) ) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_power__strict__decreasing,axiom,
% 163.65/163.57 ! [V_a,V_N,V_n,T_a] :
% 163.65/163.57 ( class_Rings_Olinordered__semidom(T_a)
% 163.65/163.57 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),V_N))
% 163.65/163.57 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 163.65/163.57 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Oone__class_Oone(T_a)))
% 163.65/163.57 => 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))) ) ) ) ) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_power__decreasing,axiom,
% 163.65/163.57 ! [V_a,V_N,V_n,T_a] :
% 163.65/163.57 ( class_Rings_Olinordered__semidom(T_a)
% 163.65/163.57 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_N))
% 163.65/163.57 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 163.65/163.57 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Oone__class_Oone(T_a)))
% 163.65/163.57 => 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))) ) ) ) ) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_nat__aux__def,axiom,
% 163.65/163.57 ! [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) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_semiring__1__class_Oof__nat__code,axiom,
% 163.65/163.57 ! [V_n_2,T_b] :
% 163.65/163.57 ( class_Rings_Osemiring__1(T_b)
% 163.65/163.57 => 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)) ) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_Nat__Transfer_Otransfer__int__nat__set__functions_I4_J,axiom,
% 163.65/163.57 ! [V_B_2,V_A_2] :
% 163.65/163.57 ( c_Nat__Transfer_Onat__set(V_A_2)
% 163.65/163.57 => ( c_Nat__Transfer_Onat__set(V_B_2)
% 163.65/163.57 => 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))) ) ) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_Nat__Transfer_Otransfer__int__nat__set__functions_I3_J,axiom,
% 163.65/163.57 ! [V_B_2,V_A_2] :
% 163.65/163.57 ( c_Nat__Transfer_Onat__set(V_A_2)
% 163.65/163.57 => ( c_Nat__Transfer_Onat__set(V_B_2)
% 163.65/163.57 => 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))) ) ) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_of__int,axiom,
% 163.65/163.57 ! [V_j_2,V_i_2,T_b] :
% 163.65/163.57 ( class_Rings_Oring__1(T_b)
% 163.65/163.57 => 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)) ) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_of__int__eq__iff,axiom,
% 163.65/163.57 ! [V_z_2,V_w_2,T_b] :
% 163.65/163.57 ( class_Int_Oring__char__0(T_b)
% 163.65/163.57 => ( 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)
% 163.65/163.57 <=> V_w_2 = V_z_2 ) ) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_of__int__int__eq,axiom,
% 163.65/163.57 ! [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) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_of__int__power,axiom,
% 163.65/163.57 ! [V_n,V_z,T_a] :
% 163.65/163.57 ( class_Rings_Oring__1(T_a)
% 163.65/163.57 => 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) ) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_of__int__eq__0__iff,axiom,
% 163.65/163.57 ! [V_z_2,T_b] :
% 163.65/163.57 ( class_Int_Oring__char__0(T_b)
% 163.65/163.57 => ( hAPP(c_Int_Oring__1__class_Oof__int(T_b),V_z_2) = c_Groups_Ozero__class_Ozero(T_b)
% 163.65/163.57 <=> V_z_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_of__int__0__eq__iff,axiom,
% 163.65/163.57 ! [V_z_2,T_b] :
% 163.65/163.57 ( class_Int_Oring__char__0(T_b)
% 163.65/163.57 => ( c_Groups_Ozero__class_Ozero(T_b) = hAPP(c_Int_Oring__1__class_Oof__int(T_b),V_z_2)
% 163.65/163.57 <=> V_z_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_of__int__0,axiom,
% 163.65/163.57 ! [T_a] :
% 163.65/163.57 ( class_Rings_Oring__1(T_a)
% 163.65/163.57 => 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) ) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I1_J,axiom,
% 163.65/163.57 c_Nat__Transfer_Onat__set(c_Orderings_Obot__class_Obot(tc_fun(tc_Int_Oint,tc_HOL_Obool))) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_of__int__le__iff,axiom,
% 163.65/163.57 ! [V_z_2,V_w_2,T_b] :
% 163.65/163.57 ( class_Rings_Olinordered__idom(T_b)
% 163.65/163.57 => ( 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)))
% 163.65/163.57 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_w_2),V_z_2)) ) ) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_of__int__less__iff,axiom,
% 163.65/163.57 ! [V_z_2,V_w_2,T_b] :
% 163.65/163.57 ( class_Rings_Olinordered__idom(T_b)
% 163.65/163.57 => ( 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)))
% 163.65/163.57 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2)) ) ) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_of__int__add,axiom,
% 163.65/163.57 ! [V_z,V_w,T_a] :
% 163.65/163.57 ( class_Rings_Oring__1(T_a)
% 163.65/163.57 => 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)) ) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_of__int__mult,axiom,
% 163.65/163.57 ! [V_z,V_w,T_a] :
% 163.65/163.57 ( class_Rings_Oring__1(T_a)
% 163.65/163.57 => 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)) ) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_of__int__1,axiom,
% 163.65/163.57 ! [T_a] :
% 163.65/163.57 ( class_Rings_Oring__1(T_a)
% 163.65/163.57 => 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) ) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_of__int__diff,axiom,
% 163.65/163.57 ! [V_z,V_w,T_a] :
% 163.65/163.57 ( class_Rings_Oring__1(T_a)
% 163.65/163.57 => 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)) ) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_of__int__of__nat__eq,axiom,
% 163.65/163.57 ! [V_n,T_a] :
% 163.65/163.57 ( class_Rings_Oring__1(T_a)
% 163.65/163.57 => 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) ) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_of__int__minus,axiom,
% 163.65/163.57 ! [V_z,T_a] :
% 163.65/163.57 ( class_Rings_Oring__1(T_a)
% 163.65/163.57 => 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)) ) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I2_J,axiom,
% 163.65/163.57 ! [V_B_2,V_A_2] :
% 163.65/163.57 ( c_Nat__Transfer_Onat__set(V_A_2)
% 163.65/163.57 => ( c_Nat__Transfer_Onat__set(V_B_2)
% 163.65/163.57 => 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)) ) ) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I3_J,axiom,
% 163.65/163.57 ! [V_B_2,V_A_2] :
% 163.65/163.57 ( c_Nat__Transfer_Onat__set(V_A_2)
% 163.65/163.57 => ( c_Nat__Transfer_Onat__set(V_B_2)
% 163.65/163.57 => 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)) ) ) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_Ints__of__int,axiom,
% 163.65/163.57 ! [V_z_2,T_b] :
% 163.65/163.57 ( class_Rings_Oring__1(T_b)
% 163.65/163.57 => 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))) ) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_nat__set__def,axiom,
% 163.65/163.57 ! [V_S_2] :
% 163.65/163.57 ( c_Nat__Transfer_Onat__set(V_S_2)
% 163.65/163.57 <=> ! [B_x] :
% 163.65/163.57 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_x),V_S_2))
% 163.65/163.57 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x)) ) ) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I5_J,axiom,
% 163.65/163.57 ! [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)) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_transfer__int__nat__set__relations_I3_J,axiom,
% 163.65/163.57 ! [V_B_2,V_A_2] :
% 163.65/163.57 ( c_Nat__Transfer_Onat__set(V_A_2)
% 163.65/163.57 => ( c_Nat__Transfer_Onat__set(V_B_2)
% 163.65/163.57 => ( V_A_2 = V_B_2
% 163.65/163.57 <=> 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) ) ) ) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_of__nat__aux_Osimps_I1_J,axiom,
% 163.65/163.57 ! [V_i_2,V_inc_2,T_b] :
% 163.65/163.57 ( class_Rings_Osemiring__1(T_b)
% 163.65/163.57 => 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 ) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_of__nat__aux_Osimps_I2_J,axiom,
% 163.65/163.57 ! [V_i_2,V_n_2,V_inc_2,T_b] :
% 163.65/163.57 ( class_Rings_Osemiring__1(T_b)
% 163.65/163.57 => 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)) ) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_Nat__Transfer_Otransfer__nat__int__set__function__closures_I6_J,axiom,
% 163.65/163.57 ! [V_x_2,V_A_2] :
% 163.65/163.57 ( c_Nat__Transfer_Onat__set(V_A_2)
% 163.65/163.57 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),V_x_2),V_A_2))
% 163.65/163.57 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x_2)) ) ) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_of__int__le__0__iff,axiom,
% 163.65/163.57 ! [V_z_2,T_b] :
% 163.65/163.57 ( class_Rings_Olinordered__idom(T_b)
% 163.65/163.57 => ( 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)))
% 163.65/163.57 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_of__int__0__le__iff,axiom,
% 163.65/163.57 ! [V_z_2,T_b] :
% 163.65/163.57 ( class_Rings_Olinordered__idom(T_b)
% 163.65/163.57 => ( 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)))
% 163.65/163.57 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2)) ) ) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_of__int__less__0__iff,axiom,
% 163.65/163.57 ! [V_z_2,T_b] :
% 163.65/163.57 ( class_Rings_Olinordered__idom(T_b)
% 163.65/163.57 => ( 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)))
% 163.65/163.57 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_z_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_of__int__0__less__iff,axiom,
% 163.65/163.57 ! [V_z_2,T_b] :
% 163.65/163.57 ( class_Rings_Olinordered__idom(T_b)
% 163.65/163.57 => ( 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)))
% 163.65/163.57 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2)) ) ) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_of__nat__nat,axiom,
% 163.65/163.57 ! [V_z,T_a] :
% 163.65/163.57 ( class_Rings_Oring__1(T_a)
% 163.65/163.57 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z))
% 163.65/163.57 => 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) ) ) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I4_J,axiom,
% 163.65/163.57 ! [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))) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_transfer__nat__int__set__return__embed,axiom,
% 163.65/163.57 ! [V_A_2] :
% 163.65/163.57 ( c_Nat__Transfer_Onat__set(V_A_2)
% 163.65/163.57 => 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 ) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_transfer__int__nat__set__relations_I1_J,axiom,
% 163.65/163.57 ! [V_A_2] :
% 163.65/163.57 ( c_Nat__Transfer_Onat__set(V_A_2)
% 163.65/163.57 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint),V_A_2))
% 163.65/163.57 <=> 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))) ) ) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_Nat__Transfer_Otransfer__int__nat__set__functions_I1_J,axiom,
% 163.65/163.57 ! [V_A_2] :
% 163.65/163.57 ( c_Nat__Transfer_Onat__set(V_A_2)
% 163.65/163.57 => 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)) ) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_of__int__of__nat,axiom,
% 163.65/163.57 ! [V_k,T_a] :
% 163.65/163.57 ( class_Rings_Oring__1(T_a)
% 163.65/163.57 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 163.65/163.57 => 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)))) )
% 163.65/163.57 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 163.65/163.57 => 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)) ) ) ) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_transfer__int__nat__set__relations_I5_J,axiom,
% 163.65/163.57 ! [V_B_2,V_A_2] :
% 163.65/163.57 ( c_Nat__Transfer_Onat__set(V_A_2)
% 163.65/163.57 => ( c_Nat__Transfer_Onat__set(V_B_2)
% 163.65/163.57 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Int_Oint,tc_HOL_Obool)),V_A_2),V_B_2))
% 163.65/163.57 <=> 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))) ) ) ) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_transfer__int__nat__set__relations_I4_J,axiom,
% 163.65/163.57 ! [V_B_2,V_A_2] :
% 163.65/163.57 ( c_Nat__Transfer_Onat__set(V_A_2)
% 163.65/163.57 => ( c_Nat__Transfer_Onat__set(V_B_2)
% 163.65/163.57 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(tc_Int_Oint,tc_HOL_Obool)),V_A_2),V_B_2))
% 163.65/163.57 <=> 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))) ) ) ) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_transfer__morphism__nat__int,axiom,
% 163.65/163.57 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))) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_power__power__power,axiom,
% 163.65/163.57 ! [T_b] :
% 163.65/163.57 ( class_Power_Opower(T_b)
% 163.65/163.57 => 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)) ) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_transfer__int__nat__set__relations_I2_J,axiom,
% 163.65/163.57 ! [V_A_2,V_x_2] :
% 163.65/163.57 ( c_Nat__Transfer_Ois__nat(V_x_2)
% 163.65/163.57 => ( c_Nat__Transfer_Onat__set(V_A_2)
% 163.65/163.57 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),V_x_2),V_A_2))
% 163.65/163.57 <=> 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))) ) ) ) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_card__greaterThanLessThan__int,axiom,
% 163.65/163.57 ! [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)))) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_int__power__div__base,axiom,
% 163.65/163.57 ! [V_k,V_m] :
% 163.65/163.57 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m))
% 163.65/163.57 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k))
% 163.65/163.57 => 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)))) ) ) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_finite__greaterThanLessThan__int,axiom,
% 163.65/163.57 ! [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))) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_div__by__1,axiom,
% 163.65/163.57 ! [V_a,T_a] :
% 163.65/163.57 ( class_Divides_Osemiring__div(T_a)
% 163.65/163.57 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_a),c_Groups_Oone__class_Oone(T_a)) = V_a ) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_Divides_Otransfer__int__nat__function__closures_I1_J,axiom,
% 163.65/163.57 ! [V_y,V_x] :
% 163.65/163.57 ( c_Nat__Transfer_Ois__nat(V_x)
% 163.65/163.57 => ( c_Nat__Transfer_Ois__nat(V_y)
% 163.65/163.57 => c_Nat__Transfer_Ois__nat(hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_x),V_y)) ) ) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_zdiv__zminus__zminus,axiom,
% 163.65/163.57 ! [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) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_zdiv__zminus2,axiom,
% 163.65/163.57 ! [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) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_zdiv__zero,axiom,
% 163.65/163.57 ! [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) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_div__0,axiom,
% 163.65/163.57 ! [V_a,T_a] :
% 163.65/163.57 ( class_Divides_Osemiring__div(T_a)
% 163.65/163.57 => 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) ) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_div__by__0,axiom,
% 163.65/163.57 ! [V_a,T_a] :
% 163.65/163.57 ( class_Divides_Osemiring__div(T_a)
% 163.65/163.57 => 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) ) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I5_J,axiom,
% 163.65/163.57 c_Nat__Transfer_Ois__nat(c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I1_J,axiom,
% 163.65/163.57 ! [V_y,V_x] :
% 163.65/163.57 ( c_Nat__Transfer_Ois__nat(V_x)
% 163.65/163.57 => ( c_Nat__Transfer_Ois__nat(V_y)
% 163.65/163.57 => c_Nat__Transfer_Ois__nat(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_x),V_y)) ) ) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I9_J,axiom,
% 163.65/163.57 ! [V_z] : c_Nat__Transfer_Ois__nat(hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_z)) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I6_J,axiom,
% 163.65/163.57 c_Nat__Transfer_Ois__nat(c_Groups_Oone__class_Oone(tc_Int_Oint)) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I2_J,axiom,
% 163.65/163.57 ! [V_y,V_x] :
% 163.65/163.57 ( c_Nat__Transfer_Ois__nat(V_x)
% 163.65/163.57 => ( c_Nat__Transfer_Ois__nat(V_y)
% 163.65/163.57 => c_Nat__Transfer_Ois__nat(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_x),V_y)) ) ) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I4_J,axiom,
% 163.65/163.57 ! [V_n,V_x] :
% 163.65/163.57 ( c_Nat__Transfer_Ois__nat(V_x)
% 163.65/163.57 => c_Nat__Transfer_Ois__nat(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),V_x),V_n)) ) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_Divides_Otransfer__nat__int__function__closures_I1_J,axiom,
% 163.65/163.57 ! [V_y,V_x] :
% 163.65/163.57 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 163.65/163.57 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 163.65/163.57 => 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))) ) ) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_div__neg__pos__less0,axiom,
% 163.65/163.57 ! [V_b,V_a] :
% 163.65/163.57 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 163.65/163.57 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 163.65/163.57 => 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))) ) ) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_neg__imp__zdiv__neg__iff,axiom,
% 163.65/163.57 ! [V_a_2,V_b_2] :
% 163.65/163.57 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 163.65/163.57 => ( 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)))
% 163.65/163.57 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a_2)) ) ) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_pos__imp__zdiv__neg__iff,axiom,
% 163.65/163.57 ! [V_a_2,V_b_2] :
% 163.65/163.57 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_2))
% 163.65/163.57 => ( 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)))
% 163.65/163.57 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_zdiv__self,axiom,
% 163.65/163.57 ! [V_a] :
% 163.65/163.57 ( V_a != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 163.65/163.57 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_a) = c_Groups_Oone__class_Oone(tc_Int_Oint) ) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I3_J,axiom,
% 163.65/163.57 ! [V_y,V_x] :
% 163.65/163.57 ( c_Nat__Transfer_Ois__nat(V_x)
% 163.65/163.57 => ( c_Nat__Transfer_Ois__nat(V_y)
% 163.65/163.57 => c_Nat__Transfer_Ois__nat(c_Nat__Transfer_Otsub(V_x,V_y)) ) ) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_div__mult__mult1,axiom,
% 163.65/163.57 ! [V_b,V_a,V_c,T_a] :
% 163.65/163.57 ( class_Divides_Osemiring__div(T_a)
% 163.65/163.57 => ( V_c != c_Groups_Ozero__class_Ozero(T_a)
% 163.65/163.57 => 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) ) ) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_div__mult__mult2,axiom,
% 163.65/163.57 ! [V_b,V_a,V_c,T_a] :
% 163.65/163.57 ( class_Divides_Osemiring__div(T_a)
% 163.65/163.57 => ( V_c != c_Groups_Ozero__class_Ozero(T_a)
% 163.65/163.57 => 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) ) ) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_div__mult__self1__is__id,axiom,
% 163.65/163.57 ! [V_a,V_b,T_a] :
% 163.65/163.57 ( class_Divides_Osemiring__div(T_a)
% 163.65/163.57 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 163.65/163.57 => 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 ) ) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_div__mult__self2__is__id,axiom,
% 163.65/163.57 ! [V_a,V_b,T_a] :
% 163.65/163.57 ( class_Divides_Osemiring__div(T_a)
% 163.65/163.57 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 163.65/163.57 => 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 ) ) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_div__mult__mult1__if,axiom,
% 163.65/163.57 ! [V_b,V_a,V_c,T_a] :
% 163.65/163.57 ( class_Divides_Osemiring__div(T_a)
% 163.65/163.57 => ( ( V_c = c_Groups_Ozero__class_Ozero(T_a)
% 163.65/163.57 => 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) )
% 163.65/163.57 & ( V_c != c_Groups_Ozero__class_Ozero(T_a)
% 163.65/163.57 => 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) ) ) ) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_div__self,axiom,
% 163.65/163.57 ! [V_a,T_a] :
% 163.65/163.57 ( class_Divides_Osemiring__div(T_a)
% 163.65/163.57 => ( V_a != c_Groups_Ozero__class_Ozero(T_a)
% 163.65/163.57 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_a),V_a) = c_Groups_Oone__class_Oone(T_a) ) ) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_is__nat__def,axiom,
% 163.65/163.57 ! [V_x_2] :
% 163.65/163.57 ( c_Nat__Transfer_Ois__nat(V_x_2)
% 163.65/163.57 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x_2)) ) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_greaterThanLessThan__empty,axiom,
% 163.65/163.57 ! [V_k_2,V_l_2,T_b] :
% 163.65/163.57 ( class_Orderings_Oorder(T_b)
% 163.65/163.57 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_k_2))
% 163.65/163.57 => 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)) ) ) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_zdiv__mono1__neg,axiom,
% 163.65/163.57 ! [V_b,V_a_H,V_a] :
% 163.65/163.57 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a),V_a_H))
% 163.65/163.57 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 163.65/163.57 => 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))) ) ) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_zdiv__mono1,axiom,
% 163.65/163.57 ! [V_b,V_a_H,V_a] :
% 163.65/163.57 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a),V_a_H))
% 163.65/163.57 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 163.65/163.57 => 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))) ) ) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_div__neg__neg__trivial,axiom,
% 163.65/163.57 ! [V_b,V_a] :
% 163.65/163.57 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 163.65/163.57 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),V_a))
% 163.65/163.57 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_zdiv__mono2__neg,axiom,
% 163.65/163.57 ! [V_b,V_b_H,V_a] :
% 163.65/163.57 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 163.65/163.57 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_H))
% 163.65/163.57 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_H),V_b))
% 163.65/163.57 => 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))) ) ) ) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_div__nonpos__pos__le0,axiom,
% 163.65/163.57 ! [V_b,V_a] :
% 163.65/163.57 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 163.65/163.57 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 163.65/163.57 => 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))) ) ) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_neg__imp__zdiv__nonneg__iff,axiom,
% 163.65/163.57 ! [V_a_2,V_b_2] :
% 163.65/163.57 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 163.65/163.57 => ( 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)))
% 163.65/163.57 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_div__pos__pos__trivial,axiom,
% 163.65/163.57 ! [V_b,V_a] :
% 163.65/163.57 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 163.65/163.57 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),V_b))
% 163.65/163.57 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_div__nonneg__neg__le0,axiom,
% 163.65/163.57 ! [V_b,V_a] :
% 163.65/163.57 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 163.65/163.57 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 163.65/163.57 => 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))) ) ) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_zdiv__mono2,axiom,
% 163.65/163.57 ! [V_b,V_b_H,V_a] :
% 163.65/163.57 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 163.65/163.57 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_H))
% 163.65/163.57 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_H),V_b))
% 163.65/163.57 => 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))) ) ) ) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_nonneg1__imp__zdiv__pos__iff,axiom,
% 163.65/163.57 ! [V_b_2,V_a_2] :
% 163.65/163.57 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a_2))
% 163.65/163.57 => ( 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)))
% 163.65/163.57 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_2),V_a_2))
% 163.65/163.57 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_2)) ) ) ) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_pos__imp__zdiv__pos__iff,axiom,
% 163.65/163.57 ! [V_i_2,V_k_2] :
% 163.65/163.57 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k_2))
% 163.65/163.57 => ( 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)))
% 163.65/163.57 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),V_i_2)) ) ) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_pos__imp__zdiv__nonneg__iff,axiom,
% 163.65/163.57 ! [V_a_2,V_b_2] :
% 163.65/163.57 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_2))
% 163.65/163.57 => ( 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)))
% 163.65/163.57 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a_2)) ) ) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_zdiv__eq__0__iff,axiom,
% 163.65/163.57 ! [V_k_2,V_i_2] :
% 163.65/163.57 ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_i_2),V_k_2) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 163.65/163.57 <=> ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 163.65/163.57 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_i_2))
% 163.65/163.57 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_i_2),V_k_2)) )
% 163.65/163.57 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 163.65/163.57 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),V_i_2)) ) ) ) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_image__uminus__greaterThanLessThan,axiom,
% 163.65/163.57 ! [V_y_2,V_x_2,T_b] :
% 163.65/163.57 ( class_Groups_Oordered__ab__group__add(T_b)
% 163.65/163.57 => 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)) ) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_int__div__less__self,axiom,
% 163.65/163.57 ! [V_k,V_x] :
% 163.65/163.57 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 163.65/163.57 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_k))
% 163.65/163.57 => 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)) ) ) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_zdiv__zmult2__eq,axiom,
% 163.65/163.57 ! [V_b,V_a,V_c] :
% 163.65/163.57 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_c))
% 163.65/163.57 => 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) ) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_power_Opower_Opower__0,axiom,
% 163.65/163.57 ! [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 ).
% 163.65/163.57
% 163.65/163.57 fof(fact_power_Opower_Opower__Suc,axiom,
% 163.65/163.57 ! [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)) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_divmod__int__rel__div,axiom,
% 163.65/163.57 ! [V_r,V_q,V_b,V_a] :
% 163.65/163.57 ( 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)))
% 163.65/163.57 => ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 163.65/163.57 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b) = V_q ) ) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_div__mult__self1,axiom,
% 163.65/163.57 ! [V_c,V_a,V_b,T_a] :
% 163.65/163.57 ( class_Divides_Osemiring__div(T_a)
% 163.65/163.57 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 163.65/163.57 => 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)) ) ) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_div__mult__self2,axiom,
% 163.65/163.57 ! [V_c,V_a,V_b,T_a] :
% 163.65/163.57 ( class_Divides_Osemiring__div(T_a)
% 163.65/163.57 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 163.65/163.57 => 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)) ) ) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_div__add__self2,axiom,
% 163.65/163.57 ! [V_a,V_b,T_a] :
% 163.65/163.57 ( class_Divides_Osemiring__div(T_a)
% 163.65/163.57 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 163.65/163.57 => 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)) ) ) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_div__add__self1,axiom,
% 163.65/163.57 ! [V_a,V_b,T_a] :
% 163.65/163.57 ( class_Divides_Osemiring__div(T_a)
% 163.65/163.57 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 163.65/163.57 => 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)) ) ) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I6_J,axiom,
% 163.65/163.57 ! [V_x_2,V_A_2] :
% 163.65/163.57 ( c_Nat__Transfer_Onat__set(V_A_2)
% 163.65/163.57 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),V_x_2),V_A_2))
% 163.65/163.57 => c_Nat__Transfer_Ois__nat(V_x_2) ) ) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_Int__greaterThanLessThan,axiom,
% 163.65/163.57 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] :
% 163.65/163.57 ( class_Orderings_Olinorder(T_b)
% 163.65/163.57 => 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)) ) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_split__zdiv,axiom,
% 163.65/163.57 ! [V_k_2,V_n_2,V_P_2] :
% 163.65/163.57 ( hBOOL(hAPP(V_P_2,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_n_2),V_k_2)))
% 163.65/163.57 <=> ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 163.65/163.57 => hBOOL(hAPP(V_P_2,c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )
% 163.65/163.57 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k_2))
% 163.65/163.57 => ! [B_i] :
% 163.65/163.57 ( ? [B_j] :
% 163.65/163.57 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_j))
% 163.65/163.57 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_j),V_k_2))
% 163.65/163.57 & 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) )
% 163.65/163.57 => hBOOL(hAPP(V_P_2,B_i)) ) )
% 163.65/163.57 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 163.65/163.57 => ! [B_i] :
% 163.65/163.57 ( ? [B_j] :
% 163.65/163.57 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),B_j))
% 163.65/163.57 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_j),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 163.65/163.57 & 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) )
% 163.65/163.57 => hBOOL(hAPP(V_P_2,B_i)) ) ) ) ) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_divmod__int__rel__div__eq,axiom,
% 163.65/163.57 ! [V_r_1,V_y,V_b_1,V_a_1] :
% 163.65/163.57 ( 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)
% 163.65/163.57 => ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_1))
% 163.65/163.57 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r_1))
% 163.65/163.57 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r_1),V_b_1)) ) )
% 163.65/163.57 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_1))
% 163.65/163.57 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_1),V_r_1))
% 163.65/163.57 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_r_1),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) )
% 163.65/163.57 => ( V_b_1 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 163.65/163.57 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a_1),V_b_1) = V_y ) ) ) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_norm__frac_Osimps,axiom,
% 163.65/163.57 ! [V_a_2,V_b_2] :
% 163.65/163.57 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 163.65/163.57 => 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)) )
% 163.65/163.57 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 163.65/163.57 => ( ( ( V_a_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 163.65/163.57 | V_b_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) )
% 163.65/163.57 => 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)) )
% 163.65/163.57 & ( ~ ( V_a_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 163.65/163.57 | V_b_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) )
% 163.65/163.57 => 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))) ) ) ) ) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_z3div__def,axiom,
% 163.65/163.57 ! [V_k,V_l] :
% 163.65/163.57 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_l))
% 163.65/163.57 => c_SMT_Oz3div(V_k,V_l) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_k),V_l) )
% 163.65/163.57 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_l))
% 163.65/163.57 => 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))) ) ) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_zmult2__lemma,axiom,
% 163.65/163.57 ! [V_c,V_r,V_q,V_b,V_a] :
% 163.65/163.57 ( 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)))
% 163.65/163.57 => ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 163.65/163.57 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_c))
% 163.65/163.57 => 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)))) ) ) ) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_ivl__disj__un_I4_J,axiom,
% 163.65/163.57 ! [V_u_2,V_l_2,T_b] :
% 163.65/163.57 ( class_Orderings_Olinorder(T_b)
% 163.65/163.57 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_l_2),V_u_2))
% 163.65/163.57 => 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) ) ) ).
% 163.65/163.57
% 163.65/163.57 fof(fact_finite__greaterThanAtMost,axiom,
% 163.65/163.57 ! [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))) ).
% 163.65/163.57
% 163.65/163.58 fof(fact_finite__greaterThanLessThan,axiom,
% 163.65/163.58 ! [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))) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_finite__greaterThanAtMost__int,axiom,
% 163.65/163.58 ! [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))) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_Divides_Otransfer__int__nat__function__closures_I2_J,axiom,
% 163.65/163.58 ! [V_y,V_x] :
% 163.65/163.58 ( c_Nat__Transfer_Ois__nat(V_x)
% 163.65/163.58 => ( c_Nat__Transfer_Ois__nat(V_y)
% 163.65/163.58 => c_Nat__Transfer_Ois__nat(c_Divides_Odiv__class_Omod(tc_Int_Oint,V_x,V_y)) ) ) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_div__mult2__eq,axiom,
% 163.65/163.58 ! [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) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_div__le__mono,axiom,
% 163.65/163.58 ! [V_k,V_n,V_m] :
% 163.65/163.58 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 163.65/163.58 => 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))) ) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_div__le__dividend,axiom,
% 163.65/163.58 ! [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)) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_zpower__zmod,axiom,
% 163.65/163.58 ! [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) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_mod__mult__right__eq,axiom,
% 163.65/163.58 ! [V_c,V_b,V_a,T_a] :
% 163.65/163.58 ( class_Divides_Osemiring__div(T_a)
% 163.65/163.58 => 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) ) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_zmod__zmult1__eq,axiom,
% 163.65/163.58 ! [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) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_mod__mult__left__eq,axiom,
% 163.65/163.58 ! [V_c,V_b,V_a,T_a] :
% 163.65/163.58 ( class_Divides_Osemiring__div(T_a)
% 163.65/163.58 => 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) ) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_mod__mult__eq,axiom,
% 163.65/163.58 ! [V_c,V_b,V_a,T_a] :
% 163.65/163.58 ( class_Divides_Osemiring__div(T_a)
% 163.65/163.58 => 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) ) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_mod__mult__mult1,axiom,
% 163.65/163.58 ! [V_b,V_a,V_c,T_a] :
% 163.65/163.58 ( class_Divides_Osemiring__div(T_a)
% 163.65/163.58 => 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)) ) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_mod__mult__mult2,axiom,
% 163.65/163.58 ! [V_b,V_c,V_a,T_a] :
% 163.65/163.58 ( class_Divides_Osemiring__div(T_a)
% 163.65/163.58 => 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) ) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_zmod__simps_I3_J,axiom,
% 163.65/163.58 ! [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) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_zmod__simps_I4_J,axiom,
% 163.65/163.58 ! [V_b,V_c,V_a,T_a] :
% 163.65/163.58 ( class_Divides_Osemiring__div(T_a)
% 163.65/163.58 => 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) ) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_mod__mult__cong,axiom,
% 163.65/163.58 ! [V_b_H,V_b,V_a_H,V_c,V_a,T_a] :
% 163.65/163.58 ( class_Divides_Osemiring__div(T_a)
% 163.65/163.58 => ( c_Divides_Odiv__class_Omod(T_a,V_a,V_c) = c_Divides_Odiv__class_Omod(T_a,V_a_H,V_c)
% 163.65/163.58 => ( c_Divides_Odiv__class_Omod(T_a,V_b,V_c) = c_Divides_Odiv__class_Omod(T_a,V_b_H,V_c)
% 163.65/163.58 => 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) ) ) ) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_mod__add__self2,axiom,
% 163.65/163.58 ! [V_b,V_a,T_a] :
% 163.65/163.58 ( class_Divides_Osemiring__div(T_a)
% 163.65/163.58 => 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) ) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_mod__add__self1,axiom,
% 163.65/163.58 ! [V_a,V_b,T_a] :
% 163.65/163.58 ( class_Divides_Osemiring__div(T_a)
% 163.65/163.58 => 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) ) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_mod__add__right__eq,axiom,
% 163.65/163.58 ! [V_c,V_b,V_a,T_a] :
% 163.65/163.58 ( class_Divides_Osemiring__div(T_a)
% 163.65/163.58 => 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) ) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_mod__add__left__eq,axiom,
% 163.65/163.58 ! [V_c,V_b,V_a,T_a] :
% 163.65/163.58 ( class_Divides_Osemiring__div(T_a)
% 163.65/163.58 => 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) ) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_mod__add__eq,axiom,
% 163.65/163.58 ! [V_c,V_b,V_a,T_a] :
% 163.65/163.58 ( class_Divides_Osemiring__div(T_a)
% 163.65/163.58 => 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) ) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_zmod__simps_I2_J,axiom,
% 163.65/163.58 ! [V_c,V_b,V_a,T_a] :
% 163.65/163.58 ( class_Divides_Osemiring__div(T_a)
% 163.65/163.58 => 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) ) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_zmod__simps_I1_J,axiom,
% 163.65/163.58 ! [V_b,V_c,V_a,T_a] :
% 163.65/163.58 ( class_Divides_Osemiring__div(T_a)
% 163.65/163.58 => 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) ) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_mod__add__cong,axiom,
% 163.65/163.58 ! [V_b_H,V_b,V_a_H,V_c,V_a,T_a] :
% 163.65/163.58 ( class_Divides_Osemiring__div(T_a)
% 163.65/163.58 => ( c_Divides_Odiv__class_Omod(T_a,V_a,V_c) = c_Divides_Odiv__class_Omod(T_a,V_a_H,V_c)
% 163.65/163.58 => ( c_Divides_Odiv__class_Omod(T_a,V_b,V_c) = c_Divides_Odiv__class_Omod(T_a,V_b_H,V_c)
% 163.65/163.58 => 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) ) ) ) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_zmod__self,axiom,
% 163.65/163.58 ! [V_a] : c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_a) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_mod__self,axiom,
% 163.65/163.58 ! [V_a,T_a] :
% 163.65/163.58 ( class_Divides_Osemiring__div(T_a)
% 163.65/163.58 => c_Divides_Odiv__class_Omod(T_a,V_a,V_a) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_mod__by__0,axiom,
% 163.65/163.58 ! [V_a,T_a] :
% 163.65/163.58 ( class_Divides_Osemiring__div(T_a)
% 163.65/163.58 => c_Divides_Odiv__class_Omod(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a)) = V_a ) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_zmod__zero,axiom,
% 163.65/163.58 ! [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) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_mod__0,axiom,
% 163.65/163.58 ! [V_a,T_a] :
% 163.65/163.58 ( class_Divides_Osemiring__div(T_a)
% 163.65/163.58 => c_Divides_Odiv__class_Omod(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_zmod__zminus2,axiom,
% 163.65/163.58 ! [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)) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_mod__minus__eq,axiom,
% 163.65/163.58 ! [V_b,V_a,T_a] :
% 163.65/163.58 ( class_Divides_Oring__div(T_a)
% 163.65/163.58 => 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) ) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_zmod__zminus__zminus,axiom,
% 163.65/163.58 ! [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)) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_zminus__zmod,axiom,
% 163.65/163.58 ! [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) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_mod__minus__cong,axiom,
% 163.65/163.58 ! [V_a_H,V_b,V_a,T_a] :
% 163.65/163.58 ( class_Divides_Oring__div(T_a)
% 163.65/163.58 => ( c_Divides_Odiv__class_Omod(T_a,V_a,V_b) = c_Divides_Odiv__class_Omod(T_a,V_a_H,V_b)
% 163.65/163.58 => 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) ) ) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_mod__mod__trivial,axiom,
% 163.65/163.58 ! [V_b,V_a,T_a] :
% 163.65/163.58 ( class_Divides_Osemiring__div(T_a)
% 163.65/163.58 => 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) ) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_mod__diff__right__eq,axiom,
% 163.65/163.58 ! [V_c,V_b,V_a,T_a] :
% 163.65/163.58 ( class_Divides_Oring__div(T_a)
% 163.65/163.58 => 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) ) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_mod__diff__left__eq,axiom,
% 163.65/163.58 ! [V_c,V_b,V_a,T_a] :
% 163.65/163.58 ( class_Divides_Oring__div(T_a)
% 163.65/163.58 => 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) ) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_mod__diff__eq,axiom,
% 163.65/163.58 ! [V_c,V_b,V_a,T_a] :
% 163.65/163.58 ( class_Divides_Oring__div(T_a)
% 163.65/163.58 => 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) ) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_mod__diff__cong,axiom,
% 163.65/163.58 ! [V_b_H,V_b,V_a_H,V_c,V_a,T_a] :
% 163.65/163.58 ( class_Divides_Oring__div(T_a)
% 163.65/163.58 => ( c_Divides_Odiv__class_Omod(T_a,V_a,V_c) = c_Divides_Odiv__class_Omod(T_a,V_a_H,V_c)
% 163.65/163.58 => ( c_Divides_Odiv__class_Omod(T_a,V_b,V_c) = c_Divides_Odiv__class_Omod(T_a,V_b_H,V_c)
% 163.65/163.58 => 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) ) ) ) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_zdiff__zmod__right,axiom,
% 163.65/163.58 ! [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) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_zdiff__zmod__left,axiom,
% 163.65/163.58 ! [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) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_mod__mult__self2__is__0,axiom,
% 163.65/163.58 ! [V_b,V_a,T_a] :
% 163.65/163.58 ( class_Divides_Osemiring__div(T_a)
% 163.65/163.58 => 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) ) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_mod__mult__self1__is__0,axiom,
% 163.65/163.58 ! [V_a,V_b,T_a] :
% 163.65/163.58 ( class_Divides_Osemiring__div(T_a)
% 163.65/163.58 => 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) ) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_mod__mult__self2,axiom,
% 163.65/163.58 ! [V_c,V_b,V_a,T_a] :
% 163.65/163.58 ( class_Divides_Osemiring__div(T_a)
% 163.65/163.58 => 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) ) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_mod__mult__self1,axiom,
% 163.65/163.58 ! [V_b,V_c,V_a,T_a] :
% 163.65/163.58 ( class_Divides_Osemiring__div(T_a)
% 163.65/163.58 => 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) ) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_mod__by__1,axiom,
% 163.65/163.58 ! [V_a,T_a] :
% 163.65/163.58 ( class_Divides_Osemiring__div(T_a)
% 163.65/163.58 => c_Divides_Odiv__class_Omod(T_a,V_a,c_Groups_Oone__class_Oone(T_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_mod__div__trivial,axiom,
% 163.65/163.58 ! [V_b,V_a,T_a] :
% 163.65/163.58 ( class_Divides_Osemiring__div(T_a)
% 163.65/163.58 => 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) ) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_div__1,axiom,
% 163.65/163.58 ! [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 ).
% 163.65/163.58
% 163.65/163.58 fof(fact_div__less,axiom,
% 163.65/163.58 ! [V_n,V_m] :
% 163.65/163.58 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 163.65/163.58 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m),V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_nat__mult__div__cancel__disj,axiom,
% 163.65/163.58 ! [V_n,V_m,V_k] :
% 163.65/163.58 ( ( V_k = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 163.65/163.58 => 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) )
% 163.65/163.58 & ( V_k != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 163.65/163.58 => 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) ) ) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_zmod__le__nonneg__dividend,axiom,
% 163.65/163.58 ! [V_k,V_m] :
% 163.65/163.58 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_m))
% 163.65/163.58 => 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)) ) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_Divides_Otransfer__nat__int__function__closures_I2_J,axiom,
% 163.65/163.58 ! [V_y,V_x] :
% 163.65/163.58 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 163.65/163.58 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 163.65/163.58 => 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))) ) ) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_pos__mod__bound,axiom,
% 163.65/163.58 ! [V_a,V_b] :
% 163.65/163.58 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 163.65/163.58 => 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)) ) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_neg__mod__bound,axiom,
% 163.65/163.58 ! [V_a,V_b] :
% 163.65/163.58 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 163.65/163.58 => 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))) ) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_Divides_Otransfer__int__nat__functions_I1_J,axiom,
% 163.65/163.58 ! [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)) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_zdiv__int,axiom,
% 163.65/163.58 ! [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)) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_zmod__eq__0__iff,axiom,
% 163.65/163.58 ! [V_d_2,V_m_2] :
% 163.65/163.58 ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_m_2,V_d_2) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 163.65/163.58 <=> ? [B_q] : V_m_2 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_d_2),B_q) ) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_zmod__zminus2__not__zero,axiom,
% 163.65/163.58 ! [V_l,V_k] :
% 163.65/163.58 ( 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)
% 163.65/163.58 => c_Divides_Odiv__class_Omod(tc_Int_Oint,V_k,V_l) != c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_zmod__zminus1__not__zero,axiom,
% 163.65/163.58 ! [V_l,V_k] :
% 163.65/163.58 ( 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)
% 163.65/163.58 => c_Divides_Odiv__class_Omod(tc_Int_Oint,V_k,V_l) != c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_zmod__zdiv__trivial,axiom,
% 163.65/163.58 ! [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) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_DIVISION__BY__ZERO,axiom,
% 163.65/163.58 ! [V_a] :
% 163.65/163.58 ( 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)
% 163.65/163.58 & c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = V_a ) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_zdiv__zadd1__eq,axiom,
% 163.65/163.58 ! [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)) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_greaterThanAtMost__empty,axiom,
% 163.65/163.58 ! [V_k_2,V_l_2,T_b] :
% 163.65/163.58 ( class_Orderings_Oorder(T_b)
% 163.65/163.58 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_k_2))
% 163.65/163.58 => 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)) ) ) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_greaterThanAtMost__empty__iff,axiom,
% 163.65/163.58 ! [V_l_2,V_k_2,T_b] :
% 163.65/163.58 ( class_Orderings_Oorder(T_b)
% 163.65/163.58 => ( 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))
% 163.65/163.58 <=> ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_k_2),V_l_2)) ) ) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_greaterThanAtMost__empty__iff2,axiom,
% 163.65/163.58 ! [V_l_2,V_k_2,T_b] :
% 163.65/163.58 ( class_Orderings_Oorder(T_b)
% 163.65/163.58 => ( 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)
% 163.65/163.58 <=> ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_k_2),V_l_2)) ) ) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_ivl__disj__un_I20_J,axiom,
% 163.65/163.58 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 163.65/163.58 ( class_Orderings_Olinorder(T_b)
% 163.65/163.58 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_m_2))
% 163.65/163.58 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_m_2),V_u_2))
% 163.65/163.58 => 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) ) ) ) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_semiring__div__class_Omod__div__equality_H,axiom,
% 163.65/163.58 ! [V_b,V_a,T_a] :
% 163.65/163.58 ( class_Divides_Osemiring__div(T_a)
% 163.65/163.58 => 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 ) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_mod__div__equality2,axiom,
% 163.65/163.58 ! [V_a,V_b,T_a] :
% 163.65/163.58 ( class_Divides_Osemiring__div(T_a)
% 163.65/163.58 => 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 ) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_mod__div__equality,axiom,
% 163.65/163.58 ! [V_b,V_a,T_a] :
% 163.65/163.58 ( class_Divides_Osemiring__div(T_a)
% 163.65/163.58 => 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 ) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_div__mod__equality2,axiom,
% 163.65/163.58 ! [V_c,V_a,V_b,T_a] :
% 163.65/163.58 ( class_Divides_Osemiring__div(T_a)
% 163.65/163.58 => 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) ) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_div__mod__equality,axiom,
% 163.65/163.58 ! [V_c,V_b,V_a,T_a] :
% 163.65/163.58 ( class_Divides_Osemiring__div(T_a)
% 163.65/163.58 => 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) ) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_ivl__disj__int_I14_J,axiom,
% 163.65/163.58 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 163.65/163.58 ( class_Orderings_Oorder(T_b)
% 163.65/163.58 => 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)) ) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_div__le__mono2,axiom,
% 163.65/163.58 ! [V_k,V_n,V_m] :
% 163.65/163.58 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m))
% 163.65/163.58 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 163.65/163.58 => 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))) ) ) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_nat__mult__div__cancel1,axiom,
% 163.65/163.58 ! [V_n,V_m,V_k] :
% 163.65/163.58 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k))
% 163.65/163.58 => 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) ) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_div__mult__self__is__m,axiom,
% 163.65/163.58 ! [V_m,V_n] :
% 163.65/163.58 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 163.65/163.58 => 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 ) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_div__mult__self1__is__m,axiom,
% 163.65/163.58 ! [V_m,V_n] :
% 163.65/163.58 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 163.65/163.58 => 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 ) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_div__less__dividend,axiom,
% 163.65/163.58 ! [V_m,V_n] :
% 163.65/163.58 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),V_n))
% 163.65/163.58 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m))
% 163.65/163.58 => 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)) ) ) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_pos__mod__sign,axiom,
% 163.65/163.58 ! [V_a,V_b] :
% 163.65/163.58 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 163.65/163.58 => 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))) ) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_pos__mod__conj,axiom,
% 163.65/163.58 ! [V_a,V_b] :
% 163.65/163.58 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 163.65/163.58 => ( 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)))
% 163.65/163.58 & 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)) ) ) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_mod__pos__pos__trivial,axiom,
% 163.65/163.58 ! [V_b,V_a] :
% 163.65/163.58 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 163.65/163.58 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),V_b))
% 163.65/163.58 => c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = V_a ) ) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_neg__mod__sign,axiom,
% 163.65/163.58 ! [V_a,V_b] :
% 163.65/163.58 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 163.65/163.58 => 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))) ) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_neg__mod__conj,axiom,
% 163.65/163.58 ! [V_a,V_b] :
% 163.65/163.58 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 163.65/163.58 => ( 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)))
% 163.65/163.58 & 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))) ) ) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_mod__neg__neg__trivial,axiom,
% 163.65/163.58 ! [V_b,V_a] :
% 163.65/163.58 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 163.65/163.58 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),V_a))
% 163.65/163.58 => c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = V_a ) ) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_card__greaterThanAtMost,axiom,
% 163.65/163.58 ! [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) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_zmod__zminus1__eq__if,axiom,
% 163.65/163.58 ! [V_b,V_a] :
% 163.65/163.58 ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 163.65/163.58 => 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) )
% 163.65/163.58 & ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 163.65/163.58 => 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)) ) ) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_zmod__zminus2__eq__if,axiom,
% 163.65/163.58 ! [V_b,V_a] :
% 163.65/163.58 ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 163.65/163.58 => 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) )
% 163.65/163.58 & ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 163.65/163.58 => 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) ) ) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_zmod__zdiv__equality,axiom,
% 163.65/163.58 ! [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)) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_zdiv__zmult1__eq,axiom,
% 163.65/163.58 ! [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)) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_zdiv__zmod__equality,axiom,
% 163.65/163.58 ! [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) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_zdiv__zmod__equality2,axiom,
% 163.65/163.58 ! [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) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_zmult__div__cancel,axiom,
% 163.65/163.58 ! [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)) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_zmod__zdiv__equality_H,axiom,
% 163.65/163.58 ! [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)) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_divmod__int__rel__mod,axiom,
% 163.65/163.58 ! [V_r,V_q,V_b,V_a] :
% 163.65/163.58 ( 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)))
% 163.65/163.58 => ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 163.65/163.58 => c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = V_r ) ) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_div__geq,axiom,
% 163.65/163.58 ! [V_m,V_n] :
% 163.65/163.58 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 163.65/163.58 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 163.65/163.58 => 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)) ) ) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_div__if,axiom,
% 163.65/163.58 ! [V_m,V_n] :
% 163.65/163.58 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 163.65/163.58 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 163.65/163.58 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m),V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 163.65/163.58 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 163.65/163.58 => 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)) ) ) ) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_split__div,axiom,
% 163.65/163.58 ! [V_k_2,V_n_2,V_P_2] :
% 163.65/163.58 ( hBOOL(hAPP(V_P_2,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_n_2),V_k_2)))
% 163.65/163.58 <=> ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 163.65/163.58 => hBOOL(hAPP(V_P_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )
% 163.65/163.58 & ( V_k_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 163.65/163.58 => ! [B_i,B_j] :
% 163.65/163.58 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_j),V_k_2))
% 163.65/163.58 => ( 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)
% 163.65/163.58 => hBOOL(hAPP(V_P_2,B_i)) ) ) ) ) ) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_Divides_Otransfer__nat__int__functions_I1_J,axiom,
% 163.65/163.58 ! [V_y,V_x] :
% 163.65/163.58 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 163.65/163.58 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 163.65/163.58 => 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)) ) ) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_nat__div__distrib,axiom,
% 163.65/163.58 ! [V_y,V_x] :
% 163.65/163.58 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 163.65/163.58 => 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)) ) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_mod__pos__neg__trivial,axiom,
% 163.65/163.58 ! [V_b,V_a] :
% 163.65/163.58 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 163.65/163.58 => ( 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)))
% 163.65/163.58 => 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) ) ) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_Int__greaterThanAtMost,axiom,
% 163.65/163.58 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] :
% 163.65/163.58 ( class_Orderings_Olinorder(T_b)
% 163.65/163.58 => 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)) ) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_divmod__int__rel__div__mod,axiom,
% 163.65/163.58 ! [V_a,V_b] :
% 163.65/163.58 ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 163.65/163.58 => 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)))) ) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_ivl__disj__int_I10_J,axiom,
% 163.65/163.58 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 163.65/163.58 ( class_Orderings_Oorder(T_b)
% 163.65/163.58 => 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)) ) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_card__greaterThanLessThan,axiom,
% 163.65/163.58 ! [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)) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_card__greaterThanAtMost__int,axiom,
% 163.65/163.58 ! [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)) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_le__div__geq,axiom,
% 163.65/163.58 ! [V_m,V_n] :
% 163.65/163.58 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 163.65/163.58 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m))
% 163.65/163.58 => 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)) ) ) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_split__div__lemma,axiom,
% 163.65/163.58 ! [V_m_2,V_q_2,V_n_2] :
% 163.65/163.58 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n_2))
% 163.65/163.58 => ( ( 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))
% 163.65/163.58 & 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)))) )
% 163.65/163.58 <=> V_q_2 = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m_2),V_n_2) ) ) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_split__div_H,axiom,
% 163.65/163.58 ! [V_n_2,V_m_2,V_P_2] :
% 163.65/163.58 ( hBOOL(hAPP(V_P_2,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m_2),V_n_2)))
% 163.65/163.58 <=> ( ( V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 163.65/163.58 & hBOOL(hAPP(V_P_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )
% 163.65/163.58 | ? [B_q] :
% 163.65/163.58 ( 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))
% 163.65/163.58 & 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))))
% 163.65/163.58 & hBOOL(hAPP(V_P_2,B_q)) ) ) ) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_divmod__int__rel__mod__eq,axiom,
% 163.65/163.58 ! [V_y,V_q_1,V_b_1,V_a_1] :
% 163.65/163.58 ( 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)
% 163.65/163.58 => ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_1))
% 163.65/163.58 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 163.65/163.58 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_y),V_b_1)) ) )
% 163.65/163.58 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_1))
% 163.65/163.58 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_1),V_y))
% 163.65/163.58 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_y),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) )
% 163.65/163.58 => ( V_b_1 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 163.65/163.58 => c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a_1,V_b_1) = V_y ) ) ) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_zmult2__lemma__aux2,axiom,
% 163.65/163.58 ! [V_q,V_r,V_b,V_c] :
% 163.65/163.58 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_c))
% 163.65/163.58 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),V_r))
% 163.65/163.58 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_r),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 163.65/163.58 => 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))) ) ) ) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_zmult2__lemma__aux1,axiom,
% 163.65/163.58 ! [V_q,V_r,V_b,V_c] :
% 163.65/163.58 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_c))
% 163.65/163.58 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),V_r))
% 163.65/163.58 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_r),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 163.65/163.58 => 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))) ) ) ) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_zmult2__lemma__aux4,axiom,
% 163.65/163.58 ! [V_q,V_b,V_r,V_c] :
% 163.65/163.58 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_c))
% 163.65/163.58 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r))
% 163.65/163.58 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r),V_b))
% 163.65/163.58 => 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))) ) ) ) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_zmult2__lemma__aux3,axiom,
% 163.65/163.58 ! [V_q,V_b,V_r,V_c] :
% 163.65/163.58 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_c))
% 163.65/163.58 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r))
% 163.65/163.58 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r),V_b))
% 163.65/163.58 => 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))) ) ) ) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_split__zmod,axiom,
% 163.65/163.58 ! [V_k_2,V_n_2,V_P_2] :
% 163.65/163.58 ( hBOOL(hAPP(V_P_2,c_Divides_Odiv__class_Omod(tc_Int_Oint,V_n_2,V_k_2)))
% 163.65/163.58 <=> ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 163.65/163.58 => hBOOL(hAPP(V_P_2,V_n_2)) )
% 163.65/163.58 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k_2))
% 163.65/163.58 => ! [B_i,B_j] :
% 163.65/163.58 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_j))
% 163.65/163.58 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_j),V_k_2))
% 163.65/163.58 & 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) )
% 163.65/163.58 => hBOOL(hAPP(V_P_2,B_j)) ) )
% 163.65/163.58 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 163.65/163.58 => ! [B_i,B_j] :
% 163.65/163.58 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),B_j))
% 163.65/163.58 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_j),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 163.65/163.58 & 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) )
% 163.65/163.58 => hBOOL(hAPP(V_P_2,B_j)) ) ) ) ) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_zmod__zmult2__eq,axiom,
% 163.65/163.58 ! [V_b,V_a,V_c] :
% 163.65/163.58 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_c))
% 163.65/163.58 => 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)) ) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_zdiv__zminus2__eq__if,axiom,
% 163.65/163.58 ! [V_a,V_b] :
% 163.65/163.58 ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 163.65/163.58 => ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 163.65/163.58 => 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)) )
% 163.65/163.58 & ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 163.65/163.58 => 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)) ) ) ) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_zdiv__zminus1__eq__if,axiom,
% 163.65/163.58 ! [V_a,V_b] :
% 163.65/163.58 ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 163.65/163.58 => ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 163.65/163.58 => 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)) )
% 163.65/163.58 & ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 163.65/163.58 => 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)) ) ) ) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_zadd1__lemma,axiom,
% 163.65/163.58 ! [V_br,V_bq,V_b,V_ar,V_aq,V_c,V_a] :
% 163.65/163.58 ( 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)))
% 163.65/163.58 => ( 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)))
% 163.65/163.58 => ( V_c != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 163.65/163.58 => 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)))) ) ) ) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_ivl__disj__un_I16_J,axiom,
% 163.65/163.58 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 163.65/163.58 ( class_Orderings_Olinorder(T_b)
% 163.65/163.58 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_m_2))
% 163.65/163.58 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_m_2),V_u_2))
% 163.65/163.58 => 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) ) ) ) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_split__neg__lemma,axiom,
% 163.65/163.58 ! [V_n_2,V_P_2,V_k_2] :
% 163.65/163.58 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 163.65/163.58 => ( 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)))
% 163.65/163.58 <=> ! [B_i,B_j] :
% 163.65/163.58 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),B_j))
% 163.65/163.58 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_j),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 163.65/163.58 & 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) )
% 163.65/163.58 => hBOOL(hAPP(hAPP(V_P_2,B_i),B_j)) ) ) ) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_split__pos__lemma,axiom,
% 163.65/163.58 ! [V_n_2,V_P_2,V_k_2] :
% 163.65/163.58 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k_2))
% 163.65/163.58 => ( 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)))
% 163.65/163.58 <=> ! [B_i,B_j] :
% 163.65/163.58 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_j))
% 163.65/163.58 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_j),V_k_2))
% 163.65/163.58 & 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) )
% 163.65/163.58 => hBOOL(hAPP(hAPP(V_P_2,B_i),B_j)) ) ) ) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_zmult1__lemma,axiom,
% 163.65/163.58 ! [V_a,V_r,V_q,V_c,V_b] :
% 163.65/163.58 ( 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)))
% 163.65/163.58 => ( V_c != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 163.65/163.58 => 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)))) ) ) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_z3mod__def,axiom,
% 163.65/163.58 ! [V_k,V_l] :
% 163.65/163.58 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_l))
% 163.65/163.58 => c_SMT_Oz3mod(V_k,V_l) = c_Divides_Odiv__class_Omod(tc_Int_Oint,V_k,V_l) )
% 163.65/163.58 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_l))
% 163.65/163.58 => 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)) ) ) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_norm__frac_Opsimps,axiom,
% 163.65/163.58 ! [V_b_2,V_a_2] :
% 163.65/163.58 ( 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)))
% 163.65/163.58 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 163.65/163.58 => 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)) )
% 163.65/163.58 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 163.65/163.58 => ( ( ( V_a_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 163.65/163.58 | V_b_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) )
% 163.65/163.58 => 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)) )
% 163.65/163.58 & ( ~ ( V_a_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 163.65/163.58 | V_b_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) )
% 163.65/163.58 => 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))) ) ) ) ) ) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_negDivAlg__div__mod,axiom,
% 163.65/163.58 ! [V_l,V_k] :
% 163.65/163.58 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 163.65/163.58 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_l))
% 163.65/163.58 => 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)) ) ) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_posDivAlg__div__mod,axiom,
% 163.65/163.58 ! [V_l,V_k] :
% 163.65/163.58 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k))
% 163.65/163.58 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_l))
% 163.65/163.58 => 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)) ) ) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_div__add1__eq,axiom,
% 163.65/163.58 ! [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)) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_mod__less,axiom,
% 163.65/163.58 ! [V_n,V_m] :
% 163.65/163.58 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 163.65/163.58 => c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n) = V_m ) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_mod__less__eq__dividend,axiom,
% 163.65/163.58 ! [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)) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_mod__mult__distrib2,axiom,
% 163.65/163.58 ! [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)) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_mod__mult__distrib,axiom,
% 163.65/163.58 ! [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)) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_mod__Suc__eq__Suc__mod,axiom,
% 163.65/163.58 ! [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) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_accp_Osimps,axiom,
% 163.65/163.58 ! [V_a_2,V_r_2,T_b] :
% 163.65/163.58 ( hBOOL(hAPP(c_Wellfounded_Oaccp(T_b,V_r_2),V_a_2))
% 163.65/163.58 <=> ! [B_x] :
% 163.65/163.58 ( hBOOL(hAPP(hAPP(V_r_2,B_x),V_a_2))
% 163.65/163.58 => hBOOL(hAPP(c_Wellfounded_Oaccp(T_b,V_r_2),B_x)) ) ) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_accp_Oequations,axiom,
% 163.65/163.58 ! [V_a_2,V_r_2,T_b] :
% 163.65/163.58 ( hBOOL(hAPP(c_Wellfounded_Oaccp(T_b,V_r_2),V_a_2))
% 163.65/163.58 <=> ! [B_x] :
% 163.65/163.58 ( hBOOL(hAPP(hAPP(V_r_2,B_x),V_a_2))
% 163.65/163.58 => hBOOL(hAPP(c_Wellfounded_Oaccp(T_b,V_r_2),B_x)) ) ) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_accp__downward,axiom,
% 163.65/163.58 ! [V_a_2,V_b_2,V_r_2,T_b] :
% 163.65/163.58 ( hBOOL(hAPP(c_Wellfounded_Oaccp(T_b,V_r_2),V_b_2))
% 163.65/163.58 => ( hBOOL(hAPP(hAPP(V_r_2,V_a_2),V_b_2))
% 163.65/163.58 => hBOOL(hAPP(c_Wellfounded_Oaccp(T_b,V_r_2),V_a_2)) ) ) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_wfP__accp__iff,axiom,
% 163.65/163.58 ! [V_r_2,T_b] :
% 163.65/163.58 ( c_Wellfounded_OwfP(T_b,V_r_2)
% 163.65/163.58 <=> ! [B_x1] : hBOOL(hAPP(c_Wellfounded_Oaccp(T_b,V_r_2),B_x1)) ) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_accp__wfPD,axiom,
% 163.65/163.58 ! [V_x_2,V_r_2,T_b] :
% 163.65/163.58 ( c_Wellfounded_OwfP(T_b,V_r_2)
% 163.65/163.58 => hBOOL(hAPP(c_Wellfounded_Oaccp(T_b,V_r_2),V_x_2)) ) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_mod__1,axiom,
% 163.65/163.58 ! [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) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_mod__Suc,axiom,
% 163.65/163.58 ! [V_n,V_m] :
% 163.65/163.58 ( ( hAPP(c_Nat_OSuc,c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n)) = V_n
% 163.65/163.58 => c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(c_Nat_OSuc,V_m),V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 163.65/163.58 & ( hAPP(c_Nat_OSuc,c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n)) != V_n
% 163.65/163.58 => 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)) ) ) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_mod__less__divisor,axiom,
% 163.65/163.58 ! [V_m,V_n] :
% 163.65/163.58 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 163.65/163.58 => 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)) ) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_mod__eq__0__iff,axiom,
% 163.65/163.58 ! [V_d_2,V_m_2] :
% 163.65/163.58 ( c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m_2,V_d_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 163.65/163.58 <=> ? [B_q] : V_m_2 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_d_2),B_q) ) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_mod__geq,axiom,
% 163.65/163.58 ! [V_n,V_m] :
% 163.65/163.58 ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 163.65/163.58 => 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) ) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_mod__if,axiom,
% 163.65/163.58 ! [V_n,V_m] :
% 163.65/163.58 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 163.65/163.58 => c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n) = V_m )
% 163.65/163.58 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 163.65/163.58 => 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) ) ) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_mod__mult__self3,axiom,
% 163.65/163.58 ! [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) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_mod__mult2__eq,axiom,
% 163.65/163.58 ! [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)) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_div__mult1__eq,axiom,
% 163.65/163.58 ! [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)) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_le__mod__geq,axiom,
% 163.65/163.58 ! [V_m,V_n] :
% 163.65/163.58 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m))
% 163.65/163.58 => 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) ) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_div__mod__equality_H,axiom,
% 163.65/163.58 ! [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)) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_mult__div__cancel,axiom,
% 163.65/163.58 ! [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)) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_Divides_Omod__div__equality_H,axiom,
% 163.65/163.58 ! [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)) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_zmod__int,axiom,
% 163.65/163.58 ! [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)) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_Divides_Otransfer__int__nat__functions_I2_J,axiom,
% 163.65/163.58 ! [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)) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_divmod__nat__div__mod,axiom,
% 163.65/163.58 ! [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)) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_mod__le__divisor,axiom,
% 163.65/163.58 ! [V_m,V_n] :
% 163.65/163.58 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 163.65/163.58 => 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)) ) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_mod__mult__self4,axiom,
% 163.65/163.58 ! [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) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_posDivAlg__0,axiom,
% 163.65/163.58 ! [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)) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_accp__subset,axiom,
% 163.65/163.58 ! [V_R2_2,V_R1_2,T_b] :
% 163.65/163.58 ( 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))
% 163.65/163.58 => 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))) ) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_mod__lemma,axiom,
% 163.65/163.58 ! [V_q,V_b,V_r,V_c] :
% 163.65/163.58 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_c))
% 163.65/163.58 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_r),V_b))
% 163.65/163.58 => 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))) ) ) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_split__mod,axiom,
% 163.65/163.58 ! [V_k_2,V_n_2,V_P_2] :
% 163.65/163.58 ( hBOOL(hAPP(V_P_2,c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_n_2,V_k_2)))
% 163.65/163.58 <=> ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 163.65/163.58 => hBOOL(hAPP(V_P_2,V_n_2)) )
% 163.65/163.58 & ( V_k_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 163.65/163.58 => ! [B_i,B_j] :
% 163.65/163.58 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_j),V_k_2))
% 163.65/163.58 => ( 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)
% 163.65/163.58 => hBOOL(hAPP(V_P_2,B_j)) ) ) ) ) ) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_Suc__times__mod__eq,axiom,
% 163.65/163.58 ! [V_m,V_k] :
% 163.65/163.58 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),V_k))
% 163.65/163.58 => 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) ) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_nat__mod__distrib,axiom,
% 163.65/163.58 ! [V_y,V_x] :
% 163.65/163.58 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 163.65/163.58 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 163.65/163.58 => 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)) ) ) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_Divides_Otransfer__nat__int__functions_I2_J,axiom,
% 163.65/163.58 ! [V_y,V_x] :
% 163.65/163.58 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 163.65/163.58 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 163.65/163.58 => 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)) ) ) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_negDivAlg__correct,axiom,
% 163.65/163.58 ! [V_b,V_a] :
% 163.65/163.58 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 163.65/163.58 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 163.65/163.58 => hBOOL(hAPP(c_Divides_Odivmod__int__rel(V_a,V_b),c_Divides_OnegDivAlg(V_a,V_b))) ) ) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_posDivAlg__correct,axiom,
% 163.65/163.58 ! [V_b,V_a] :
% 163.65/163.58 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 163.65/163.58 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 163.65/163.58 => hBOOL(hAPP(c_Divides_Odivmod__int__rel(V_a,V_b),c_Divides_OposDivAlg(V_a,V_b))) ) ) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_divmod__nat__step,axiom,
% 163.65/163.58 ! [V_m,V_n] :
% 163.65/163.58 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 163.65/163.58 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m))
% 163.65/163.58 => 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)) ) ) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_divmod__nat__rel__mult2__eq,axiom,
% 163.65/163.58 ! [V_c,V_r,V_q,V_b,V_a] :
% 163.65/163.58 ( 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)))
% 163.65/163.58 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_b))
% 163.65/163.58 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_c))
% 163.65/163.58 => 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)))) ) ) ) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_divmod__nat__rel__mult1__eq,axiom,
% 163.65/163.58 ! [V_a,V_r,V_q,V_c,V_b] :
% 163.65/163.58 ( 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)))
% 163.65/163.58 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_c))
% 163.65/163.58 => 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)))) ) ) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_norm__frac_Opinduct,axiom,
% 163.65/163.58 ! [V_P_2,V_a1_2,V_a0_2] :
% 163.65/163.58 ( 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)))
% 163.65/163.58 => ( ! [B_a,B_b] :
% 163.65/163.58 ( 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)))
% 163.65/163.58 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 163.65/163.58 => 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))) )
% 163.65/163.58 => hBOOL(hAPP(hAPP(V_P_2,B_a),B_b)) ) )
% 163.65/163.58 => hBOOL(hAPP(hAPP(V_P_2,V_a0_2),V_a1_2)) ) ) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_divmod__nat__rel__add1__eq,axiom,
% 163.65/163.58 ! [V_br,V_bq,V_b,V_ar,V_aq,V_c,V_a] :
% 163.65/163.58 ( 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)))
% 163.65/163.58 => ( 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)))
% 163.65/163.58 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_c))
% 163.65/163.58 => 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)))) ) ) ) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_divmod__nat__rel__unique,axiom,
% 163.65/163.58 ! [V_qr_H,V_qr,V_n,V_m] :
% 163.65/163.58 ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(V_m,V_n),V_qr))
% 163.65/163.58 => ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(V_m,V_n),V_qr_H))
% 163.65/163.58 => V_qr = V_qr_H ) ) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_mod__eq,axiom,
% 163.65/163.58 ! [V_r,V_q,V_n,V_m] :
% 163.65/163.58 ( 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)))
% 163.65/163.58 => c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n) = V_r ) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_divmod__nat__eq,axiom,
% 163.65/163.58 ! [V_qr,V_n,V_m] :
% 163.65/163.58 ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(V_m,V_n),V_qr))
% 163.65/163.58 => c_Divides_Odivmod__nat(V_m,V_n) = V_qr ) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_divmod__nat__rel__divmod__nat,axiom,
% 163.65/163.58 ! [V_n,V_m] : hBOOL(hAPP(c_Divides_Odivmod__nat__rel(V_m,V_n),c_Divides_Odivmod__nat(V_m,V_n))) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_divmod__nat__def,axiom,
% 163.65/163.58 ! [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)) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_div__eq,axiom,
% 163.65/163.58 ! [V_r,V_q,V_n,V_m] :
% 163.65/163.58 ( 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)))
% 163.65/163.58 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m),V_n) = V_q ) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_divmod__nat__rel,axiom,
% 163.65/163.58 ! [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)))) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_divmod__int__def,axiom,
% 163.65/163.58 ! [V_b,V_a] :
% 163.65/163.58 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 163.65/163.58 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 163.65/163.58 => c_Divides_Odivmod__int(V_a,V_b) = c_Divides_OposDivAlg(V_a,V_b) )
% 163.65/163.58 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 163.65/163.58 => ( ( V_a = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 163.65/163.58 => 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)) )
% 163.65/163.58 & ( V_a != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 163.65/163.58 => 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))) ) ) ) ) )
% 163.65/163.58 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 163.65/163.58 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 163.65/163.58 => c_Divides_Odivmod__int(V_a,V_b) = c_Divides_OnegDivAlg(V_a,V_b) )
% 163.65/163.58 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 163.65/163.58 => 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))) ) ) ) ) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_card__Plus__conv__if,axiom,
% 163.65/163.58 ! [V_B_2,T_c,V_A_2,T_b] :
% 163.65/163.58 ( ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.65/163.58 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) )
% 163.65/163.58 => 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)) )
% 163.65/163.58 & ( ~ ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.65/163.58 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) )
% 163.65/163.58 => 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) ) ) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_type__definition__Integ,axiom,
% 163.65/163.58 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) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_divmod__int__mod__div,axiom,
% 163.65/163.58 ! [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)) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_negateSnd__eq,axiom,
% 163.65/163.58 ! [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)) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_divmod__int__rel__neg,axiom,
% 163.65/163.58 ! [V_qr,V_b,V_a] :
% 163.65/163.58 ( 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))
% 163.65/163.58 => hBOOL(hAPP(c_Divides_Odivmod__int__rel(V_a,V_b),hAPP(c_Divides_OnegateSnd,V_qr))) ) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_finite__Plus__iff,axiom,
% 163.65/163.58 ! [V_B_2,V_A_2,T_c,T_b] :
% 163.65/163.58 ( 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)))
% 163.65/163.58 <=> ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.65/163.58 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) ) ) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_finite__Plus,axiom,
% 163.65/163.58 ! [V_B_2,T_c,V_A_2,T_b] :
% 163.65/163.58 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.65/163.58 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2))
% 163.65/163.58 => 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))) ) ) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_finite__PlusD_I1_J,axiom,
% 163.65/163.58 ! [V_B_2,V_A_2,T_c,T_b] :
% 163.65/163.58 ( 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)))
% 163.65/163.58 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_finite__PlusD_I2_J,axiom,
% 163.65/163.58 ! [V_B_2,V_A_2,T_c,T_b] :
% 163.65/163.58 ( 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)))
% 163.65/163.58 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) ) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_divmod__int__correct,axiom,
% 163.65/163.58 ! [V_a,V_b] :
% 163.65/163.58 ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 163.65/163.58 => hBOOL(hAPP(c_Divides_Odivmod__int__rel(V_a,V_b),c_Divides_Odivmod__int(V_a,V_b))) ) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_card__Plus,axiom,
% 163.65/163.58 ! [V_B_2,T_c,V_A_2,T_b] :
% 163.65/163.58 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.65/163.58 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2))
% 163.65/163.58 => 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)) ) ) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_UNIV__Plus__UNIV,axiom,
% 163.65/163.58 ! [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)) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_type__definition_OAbs__image,axiom,
% 163.65/163.58 ! [V_A_2,V_Abs_2,V_Rep_2,T_c,T_b] :
% 163.65/163.58 ( c_Typedef_Otype__definition(T_b,T_c,V_Rep_2,V_Abs_2,V_A_2)
% 163.65/163.58 => 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)) ) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_type__definition_ORep__range,axiom,
% 163.65/163.58 ! [V_A_2,V_Abs_2,V_Rep_2,T_c,T_b] :
% 163.65/163.58 ( c_Typedef_Otype__definition(T_b,T_c,V_Rep_2,V_Abs_2,V_A_2)
% 163.65/163.58 => 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 ) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_mod__neg__neg,axiom,
% 163.65/163.58 ! [V_b,V_a] :
% 163.65/163.58 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 163.65/163.58 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 163.65/163.58 => 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)))) ) ) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_snd__eqD,axiom,
% 163.65/163.58 ! [V_a,V_y,V_x,T_a,T_b] :
% 163.65/163.58 ( 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
% 163.65/163.58 => V_y = V_a ) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_snd__conv,axiom,
% 163.65/163.58 ! [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 ).
% 163.65/163.58
% 163.65/163.58 fof(fact_snd__def,axiom,
% 163.65/163.58 ! [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) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_mod__int__def,axiom,
% 163.65/163.58 ! [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)) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_snd__eq__Range,axiom,
% 163.65/163.58 ! [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) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_type__definition_ORep__inverse,axiom,
% 163.65/163.58 ! [V_x_2,V_A_2,V_Abs_2,V_Rep_2,T_c,T_b] :
% 163.65/163.58 ( c_Typedef_Otype__definition(T_b,T_c,V_Rep_2,V_Abs_2,V_A_2)
% 163.65/163.58 => hAPP(V_Abs_2,hAPP(V_Rep_2,V_x_2)) = V_x_2 ) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_type__definition_ORep__inject,axiom,
% 163.65/163.58 ! [V_y_2,V_x_2,V_A_2,V_Abs_2,V_Rep_2,T_c,T_b] :
% 163.65/163.58 ( c_Typedef_Otype__definition(T_b,T_c,V_Rep_2,V_Abs_2,V_A_2)
% 163.65/163.58 => ( hAPP(V_Rep_2,V_x_2) = hAPP(V_Rep_2,V_y_2)
% 163.65/163.58 <=> V_x_2 = V_y_2 ) ) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_snd__image__times,axiom,
% 163.65/163.58 ! [V_B_2,T_c,T_b,V_A_2] :
% 163.65/163.58 ( ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.65/163.58 => 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)) )
% 163.65/163.58 & ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.65/163.58 => 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 ) ) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_mod__neg__pos,axiom,
% 163.65/163.58 ! [V_b,V_a] :
% 163.65/163.58 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 163.65/163.58 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 163.65/163.58 => 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)) ) ) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_mod__pos__pos,axiom,
% 163.65/163.58 ! [V_b,V_a] :
% 163.65/163.58 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 163.65/163.58 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 163.65/163.58 => 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)) ) ) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_mod__pos__neg,axiom,
% 163.65/163.58 ! [V_b,V_a] :
% 163.65/163.58 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 163.65/163.58 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 163.65/163.58 => 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)))) ) ) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_type__definition_OAbs__inject,axiom,
% 163.65/163.58 ! [V_y_2,V_x_2,V_A_2,V_Abs_2,V_Rep_2,T_c,T_b] :
% 163.65/163.58 ( c_Typedef_Otype__definition(T_b,T_c,V_Rep_2,V_Abs_2,V_A_2)
% 163.65/163.58 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),V_A_2))
% 163.65/163.58 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_y_2),V_A_2))
% 163.65/163.58 => ( hAPP(V_Abs_2,V_x_2) = hAPP(V_Abs_2,V_y_2)
% 163.65/163.58 <=> V_x_2 = V_y_2 ) ) ) ) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_type__definition_OAbs__inverse,axiom,
% 163.65/163.58 ! [V_y_2,V_A_2,V_Abs_2,V_Rep_2,T_c,T_b] :
% 163.65/163.58 ( c_Typedef_Otype__definition(T_b,T_c,V_Rep_2,V_Abs_2,V_A_2)
% 163.65/163.58 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_y_2),V_A_2))
% 163.65/163.58 => hAPP(V_Rep_2,hAPP(V_Abs_2,V_y_2)) = V_y_2 ) ) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_type__definition_ORep,axiom,
% 163.65/163.58 ! [V_x_2,V_A_2,V_Abs_2,V_Rep_2,T_c,T_b] :
% 163.65/163.58 ( c_Typedef_Otype__definition(T_b,T_c,V_Rep_2,V_Abs_2,V_A_2)
% 163.65/163.58 => hBOOL(hAPP(hAPP(c_member(T_c),hAPP(V_Rep_2,V_x_2)),V_A_2)) ) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_Plus__eq__empty__conv,axiom,
% 163.65/163.58 ! [V_B_2,V_A_2,T_c,T_b] :
% 163.65/163.58 ( 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))
% 163.65/163.58 <=> ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.65/163.58 & V_B_2 = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ) ) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_mod__pos__neg__1__number__of,axiom,
% 163.65/163.58 ! [V_w] :
% 163.65/163.58 ( 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)))
% 163.65/163.58 => 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))))) ) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_div__neg__neg,axiom,
% 163.65/163.58 ! [V_b,V_a] :
% 163.65/163.58 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 163.65/163.58 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 163.65/163.58 => 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)))) ) ) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_div__pos__neg,axiom,
% 163.65/163.58 ! [V_b,V_a] :
% 163.65/163.58 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 163.65/163.58 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 163.65/163.58 => 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)))) ) ) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_mod__pos__pos__1__number__of,axiom,
% 163.65/163.58 ! [V_w] :
% 163.65/163.58 ( 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)))
% 163.65/163.58 => 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))) ) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_prod__eqI,axiom,
% 163.65/163.58 ! [V_q,V_p,T_b,T_a] :
% 163.65/163.58 ( hAPP(c_Product__Type_Ofst(T_a,T_b),V_p) = hAPP(c_Product__Type_Ofst(T_a,T_b),V_q)
% 163.65/163.58 => ( hAPP(c_Product__Type_Osnd(T_a,T_b),V_p) = hAPP(c_Product__Type_Osnd(T_a,T_b),V_q)
% 163.65/163.58 => V_p = V_q ) ) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_Pair__fst__snd__eq,axiom,
% 163.65/163.58 ! [T_c,T_b,V_t_2,V_s_2] :
% 163.65/163.58 ( V_s_2 = V_t_2
% 163.65/163.58 <=> ( hAPP(c_Product__Type_Ofst(T_b,T_c),V_s_2) = hAPP(c_Product__Type_Ofst(T_b,T_c),V_t_2)
% 163.65/163.58 & hAPP(c_Product__Type_Osnd(T_b,T_c),V_s_2) = hAPP(c_Product__Type_Osnd(T_b,T_c),V_t_2) ) ) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_fst__eqD,axiom,
% 163.65/163.58 ! [V_a,V_y,V_x,T_b,T_a] :
% 163.65/163.58 ( 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
% 163.65/163.58 => V_x = V_a ) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_fst__conv,axiom,
% 163.65/163.58 ! [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 ).
% 163.65/163.58
% 163.65/163.58 fof(fact_plus__numeral__code_I9_J,axiom,
% 163.65/163.58 ! [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)) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_number__of__is__id,axiom,
% 163.65/163.58 ! [V_k] : hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_k) = V_k ).
% 163.65/163.58
% 163.65/163.58 fof(fact_number__of__reorient,axiom,
% 163.65/163.58 ! [V_x_2,V_w_2,T_b] :
% 163.65/163.58 ( class_Int_Onumber(T_b)
% 163.65/163.58 => ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2) = V_x_2
% 163.65/163.58 <=> V_x_2 = hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2) ) ) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_eq__number__of,axiom,
% 163.65/163.58 ! [V_y_2,V_x_2,T_b] :
% 163.65/163.58 ( ( class_Int_Onumber__ring(T_b)
% 163.65/163.58 & class_Int_Oring__char__0(T_b) )
% 163.65/163.58 => ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_x_2) = hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_y_2)
% 163.65/163.58 <=> V_x_2 = V_y_2 ) ) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_minus__numeral__code_I5_J,axiom,
% 163.65/163.58 ! [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)) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_of__nat__number__of__lemma,axiom,
% 163.65/163.58 ! [V_v,T_a] :
% 163.65/163.58 ( class_Int_Onumber__ring(T_a)
% 163.65/163.58 => ( ( 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)))
% 163.65/163.58 => 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) )
% 163.65/163.58 & ( ~ 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)))
% 163.65/163.58 => 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) ) ) ) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_times__numeral__code_I5_J,axiom,
% 163.65/163.58 ! [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)) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_less__eq__number__of__int__code,axiom,
% 163.65/163.58 ! [V_l_2,V_k_2] :
% 163.65/163.58 ( 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)))
% 163.65/163.58 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),V_l_2)) ) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_less__number__of__int__code,axiom,
% 163.65/163.58 ! [V_l_2,V_k_2] :
% 163.65/163.58 ( 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)))
% 163.65/163.58 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),V_l_2)) ) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_number__of__eq,axiom,
% 163.65/163.58 ! [V_k,T_a] :
% 163.65/163.58 ( class_Int_Onumber__ring(T_a)
% 163.65/163.58 => hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_k) = hAPP(c_Int_Oring__1__class_Oof__int(T_a),V_k) ) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_of__int__number__of__eq,axiom,
% 163.65/163.58 ! [V_v,T_a] :
% 163.65/163.58 ( class_Int_Onumber__ring(T_a)
% 163.65/163.58 => 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) ) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_fst__def,axiom,
% 163.65/163.58 ! [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) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_int__number__of__def,axiom,
% 163.65/163.58 ! [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) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_le__number__of__eq__not__less,axiom,
% 163.65/163.58 ! [V_w_2,V_v_2,T_b] :
% 163.65/163.58 ( ( class_Int_Onumber(T_b)
% 163.65/163.58 & class_Orderings_Olinorder(T_b) )
% 163.65/163.58 => ( 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)))
% 163.65/163.58 <=> ~ 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))) ) ) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_left__distrib__number__of,axiom,
% 163.65/163.58 ! [V_v,V_b,V_a,T_b] :
% 163.65/163.58 ( ( class_Int_Onumber(T_b)
% 163.65/163.58 & class_Rings_Osemiring(T_b) )
% 163.65/163.58 => 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))) ) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_right__distrib__number__of,axiom,
% 163.65/163.58 ! [V_c,V_b,V_v,T_b] :
% 163.65/163.58 ( ( class_Int_Onumber(T_b)
% 163.65/163.58 & class_Rings_Osemiring(T_b) )
% 163.65/163.58 => 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)) ) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_left__diff__distrib__number__of,axiom,
% 163.65/163.58 ! [V_v,V_b,V_a,T_b] :
% 163.65/163.58 ( ( class_Int_Onumber(T_b)
% 163.65/163.58 & class_Rings_Oring(T_b) )
% 163.65/163.58 => 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))) ) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_right__diff__distrib__number__of,axiom,
% 163.65/163.58 ! [V_c,V_b,V_v,T_b] :
% 163.65/163.58 ( ( class_Int_Onumber(T_b)
% 163.65/163.58 & class_Rings_Oring(T_b) )
% 163.65/163.58 => 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)) ) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_le__number__of,axiom,
% 163.65/163.58 ! [V_y_2,V_x_2,T_b] :
% 163.65/163.58 ( ( class_Int_Onumber__ring(T_b)
% 163.65/163.58 & class_Rings_Olinordered__idom(T_b) )
% 163.65/163.58 => ( 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)))
% 163.65/163.58 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_x_2),V_y_2)) ) ) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_less__number__of,axiom,
% 163.65/163.58 ! [V_y_2,V_x_2,T_b] :
% 163.65/163.58 ( ( class_Int_Onumber__ring(T_b)
% 163.65/163.58 & class_Rings_Olinordered__idom(T_b) )
% 163.65/163.58 => ( 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)))
% 163.65/163.58 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_x_2),V_y_2)) ) ) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_min__number__of,axiom,
% 163.65/163.58 ! [V_v,V_u,T_b] :
% 163.65/163.58 ( ( class_Int_Onumber(T_b)
% 163.65/163.58 & class_Orderings_Oord(T_b) )
% 163.65/163.58 => ( ( 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)))
% 163.65/163.58 => 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) )
% 163.65/163.58 & ( ~ 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)))
% 163.65/163.58 => 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) ) ) ) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_max__number__of,axiom,
% 163.65/163.58 ! [V_v,V_u,T_b] :
% 163.65/163.58 ( ( class_Int_Onumber(T_b)
% 163.65/163.58 & class_Orderings_Oord(T_b) )
% 163.65/163.58 => ( ( 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)))
% 163.65/163.58 => 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) )
% 163.65/163.58 & ( ~ 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)))
% 163.65/163.58 => 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) ) ) ) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_number__of__add,axiom,
% 163.65/163.58 ! [V_w,V_v,T_a] :
% 163.65/163.58 ( class_Int_Onumber__ring(T_a)
% 163.65/163.58 => 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)) ) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_add__number__of__eq,axiom,
% 163.65/163.58 ! [V_w,V_v,T_a] :
% 163.65/163.58 ( class_Int_Onumber__ring(T_a)
% 163.65/163.58 => 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)) ) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_add__number__of__left,axiom,
% 163.65/163.58 ! [V_z,V_w,V_v,T_a] :
% 163.65/163.58 ( class_Int_Onumber__ring(T_a)
% 163.65/163.58 => 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) ) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_number__of__mult,axiom,
% 163.65/163.58 ! [V_w,V_v,T_a] :
% 163.65/163.58 ( class_Int_Onumber__ring(T_a)
% 163.65/163.58 => 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)) ) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_arith__simps_I32_J,axiom,
% 163.65/163.58 ! [V_w,V_v,T_a] :
% 163.65/163.58 ( class_Int_Onumber__ring(T_a)
% 163.65/163.58 => 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)) ) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_mult__number__of__left,axiom,
% 163.65/163.58 ! [V_z,V_w,V_v,T_a] :
% 163.65/163.58 ( class_Int_Onumber__ring(T_a)
% 163.65/163.58 => 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) ) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_number__of__diff,axiom,
% 163.65/163.58 ! [V_w,V_v,T_a] :
% 163.65/163.58 ( class_Int_Onumber__ring(T_a)
% 163.65/163.58 => 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)) ) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_arith__simps_I30_J,axiom,
% 163.65/163.58 ! [V_w,T_a] :
% 163.65/163.58 ( class_Int_Onumber__ring(T_a)
% 163.65/163.58 => 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)) ) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_number__of__minus,axiom,
% 163.65/163.58 ! [V_w,T_a] :
% 163.65/163.58 ( class_Int_Onumber__ring(T_a)
% 163.65/163.58 => 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)) ) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_Ints__number__of,axiom,
% 163.65/163.58 ! [V_w_2,T_b] :
% 163.65/163.58 ( class_Int_Onumber__ring(T_b)
% 163.65/163.58 => 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))) ) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_surjective__pairing,axiom,
% 163.65/163.58 ! [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)) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_pair__collapse,axiom,
% 163.65/163.58 ! [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 ).
% 163.65/163.58
% 163.65/163.58 fof(fact_prod__case__beta,axiom,
% 163.65/163.58 ! [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)) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_div__pos__pos__1__number__of,axiom,
% 163.65/163.58 ! [V_w] :
% 163.65/163.58 ( 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)))
% 163.65/163.58 => 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))) ) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_fst__eq__Domain,axiom,
% 163.65/163.58 ! [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) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_div__int__def,axiom,
% 163.65/163.58 ! [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)) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_mod__nat__def,axiom,
% 163.65/163.58 ! [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)) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_split__comp__eq,axiom,
% 163.65/163.58 ! [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)) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_split__beta,axiom,
% 163.65/163.58 ! [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)) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_add__number__of__diff1,axiom,
% 163.65/163.58 ! [V_c,V_w,V_v,T_a] :
% 163.65/163.58 ( class_Int_Onumber__ring(T_a)
% 163.65/163.58 => 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) ) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_minus__number__of__mult,axiom,
% 163.65/163.58 ! [V_z,V_w,T_a] :
% 163.65/163.58 ( class_Int_Onumber__ring(T_a)
% 163.65/163.58 => 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) ) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_diff__number__of__eq,axiom,
% 163.65/163.58 ! [V_w,V_v,T_a] :
% 163.65/163.58 ( class_Int_Onumber__ring(T_a)
% 163.65/163.58 => 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))) ) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_split__def,axiom,
% 163.65/163.58 ! [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)) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_minus__numeral__code_I6_J,axiom,
% 163.65/163.58 ! [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))) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_div__pos__neg__1__number__of,axiom,
% 163.65/163.58 ! [V_w] :
% 163.65/163.58 ( 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)))
% 163.65/163.58 => 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))))) ) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_fst__image__times,axiom,
% 163.65/163.58 ! [V_A_2,T_c,T_b,V_B_2] :
% 163.65/163.58 ( ( V_B_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.65/163.58 => 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)) )
% 163.65/163.58 & ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.65/163.58 => 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 ) ) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_add__number__of__diff2,axiom,
% 163.65/163.58 ! [V_w,V_c,V_v,T_a] :
% 163.65/163.58 ( class_Int_Onumber__ring(T_a)
% 163.65/163.58 => 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) ) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_int__eq__iff__number__of,axiom,
% 163.65/163.58 ! [V_v_2,V_m_2] :
% 163.65/163.58 ( 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)
% 163.65/163.58 <=> ( V_m_2 = hAPP(c_Int_Onat,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_2))
% 163.65/163.58 & 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))) ) ) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_The__split,axiom,
% 163.65/163.58 ! [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))) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_div__neg__pos,axiom,
% 163.65/163.58 ! [V_b,V_a] :
% 163.65/163.58 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 163.65/163.58 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 163.65/163.58 => 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)) ) ) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_div__pos__pos,axiom,
% 163.65/163.58 ! [V_b,V_a] :
% 163.65/163.58 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 163.65/163.58 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 163.65/163.58 => 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)) ) ) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_prod__size__simp,axiom,
% 163.65/163.58 ! [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))) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_conjI__realizer,axiom,
% 163.65/163.58 ! [T_c,T_b,V_q_2,V_Q_2,V_p_2,V_P_2] :
% 163.65/163.58 ( hBOOL(hAPP(V_P_2,V_p_2))
% 163.65/163.58 => ( hBOOL(hAPP(V_Q_2,V_q_2))
% 163.65/163.58 => ( 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))))
% 163.65/163.58 & 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)))) ) ) ) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_exI__realizer,axiom,
% 163.65/163.58 ! [T_b,T_c,V_x_2,V_y_2,V_P_2] :
% 163.65/163.58 ( hBOOL(hAPP(hAPP(V_P_2,V_y_2),V_x_2))
% 163.65/163.58 => 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)))) ) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_one__div__nat__number__of,axiom,
% 163.65/163.58 ! [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))) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_nat__number__of__def,axiom,
% 163.65/163.58 ! [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)) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_nat__number__of,axiom,
% 163.65/163.58 ! [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) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_div__nat__def,axiom,
% 163.65/163.58 ! [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)) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_reduction__pair__def,axiom,
% 163.65/163.58 ! [V_P_2,T_b] :
% 163.65/163.58 ( c_FunDef_Oreduction__pair(T_b,V_P_2)
% 163.65/163.58 <=> ( 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))
% 163.65/163.58 & 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))) ) ) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_reduction__pair__lemma,axiom,
% 163.65/163.58 ! [V_S_2,V_R_2,V_P_2,T_b] :
% 163.65/163.58 ( c_FunDef_Oreduction__pair(T_b,V_P_2)
% 163.65/163.58 => ( 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)))
% 163.65/163.58 => ( 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)))
% 163.65/163.58 => ( c_Wellfounded_Owf(T_b,V_S_2)
% 163.65/163.58 => 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)) ) ) ) ) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_expand__Suc,axiom,
% 163.65/163.58 ! [V_v] :
% 163.65/163.58 ( 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)))
% 163.65/163.58 => 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))) ) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_divmod__nat__rel__def,axiom,
% 163.65/163.58 ! [V_qr_2,V_n_2,V_m_2] :
% 163.65/163.58 ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(V_m_2,V_n_2),V_qr_2))
% 163.65/163.58 <=> ( 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))
% 163.65/163.58 & ( V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 163.65/163.58 => hAPP(c_Product__Type_Ofst(tc_Nat_Onat,tc_Nat_Onat),V_qr_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 163.65/163.58 & ( V_n_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 163.65/163.58 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n_2))
% 163.65/163.58 => ( 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)))
% 163.65/163.58 & 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)) ) )
% 163.65/163.58 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n_2))
% 163.65/163.58 => ( 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)))
% 163.65/163.58 & 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))) ) ) ) ) ) ) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_one__mod__nat__number__of,axiom,
% 163.65/163.58 ! [V_v_H] :
% 163.65/163.58 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H)))
% 163.65/163.58 => 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)) )
% 163.65/163.58 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H)))
% 163.65/163.58 => 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))) ) ) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_power__number__of__odd__number__of,axiom,
% 163.65/163.58 ! [V_v_2,V_w_2,T_b] :
% 163.65/163.58 ( class_Int_Onumber__ring(T_b)
% 163.65/163.58 => ( ( 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)))
% 163.65/163.58 => 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))) )
% 163.65/163.58 & ( ~ 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)))
% 163.65/163.58 => 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) ) ) ) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_power__nat__number__of__number__of,axiom,
% 163.65/163.58 ! [V_w,V_v] :
% 163.65/163.58 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 163.65/163.58 => 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)) )
% 163.65/163.58 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 163.65/163.58 => 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))) ) ) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_power__nat__number__of,axiom,
% 163.65/163.58 ! [V_n,V_v] :
% 163.65/163.58 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 163.65/163.58 => 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) )
% 163.65/163.58 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 163.65/163.58 => 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)) ) ) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_neg__number__of__Bit1,axiom,
% 163.65/163.58 ! [V_w_2] :
% 163.65/163.58 ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit1(V_w_2))))
% 163.65/163.58 <=> hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w_2))) ) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_rel__simps_I51_J,axiom,
% 163.65/163.58 ! [V_l_2,V_k_2] :
% 163.65/163.58 ( c_Int_OBit1(V_k_2) = c_Int_OBit1(V_l_2)
% 163.65/163.58 <=> V_k_2 = V_l_2 ) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_less__eq__int__code_I16_J,axiom,
% 163.65/163.58 ! [V_k2_2,V_k1_2] :
% 163.65/163.58 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit1(V_k1_2)),c_Int_OBit1(V_k2_2)))
% 163.65/163.58 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k1_2),V_k2_2)) ) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_rel__simps_I34_J,axiom,
% 163.65/163.58 ! [V_l_2,V_k_2] :
% 163.65/163.58 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OBit1(V_l_2)))
% 163.65/163.58 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),V_l_2)) ) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_less__int__code_I16_J,axiom,
% 163.65/163.58 ! [V_k2_2,V_k1_2] :
% 163.65/163.58 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit1(V_k1_2)),c_Int_OBit1(V_k2_2)))
% 163.65/163.58 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k1_2),V_k2_2)) ) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_rel__simps_I17_J,axiom,
% 163.65/163.58 ! [V_l_2,V_k_2] :
% 163.65/163.58 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OBit1(V_l_2)))
% 163.65/163.58 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),V_l_2)) ) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_not__neg__1,axiom,
% 163.65/163.58 ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,c_Groups_Oone__class_Oone(tc_Int_Oint))) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_not__neg__int,axiom,
% 163.65/163.58 ! [V_n] : ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n))) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_not__neg__0,axiom,
% 163.65/163.58 ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_bin__less__0__simps_I4_J,axiom,
% 163.65/163.58 ! [V_w_2] :
% 163.65/163.58 ( 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)))
% 163.65/163.58 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_Bit1__def,axiom,
% 163.65/163.58 ! [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) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_not__neg__eq__ge__0,axiom,
% 163.65/163.58 ! [V_x_2] :
% 163.65/163.58 ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,V_x_2))
% 163.65/163.58 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x_2)) ) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_neg__def,axiom,
% 163.65/163.58 ! [V_Z_2] :
% 163.65/163.58 ( hBOOL(hAPP(c_Nat__Numeral_Oneg,V_Z_2))
% 163.65/163.58 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_Z_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_neg__nat,axiom,
% 163.65/163.58 ! [V_z] :
% 163.65/163.58 ( hBOOL(hAPP(c_Nat__Numeral_Oneg,V_z))
% 163.65/163.58 => hAPP(c_Int_Onat,V_z) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_not__neg__nat,axiom,
% 163.65/163.58 ! [V_z] :
% 163.65/163.58 ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,V_z))
% 163.65/163.58 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Int_Onat,V_z)) = V_z ) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_nat__number__of__Bit1,axiom,
% 163.65/163.58 ! [V_w_2] :
% 163.65/163.58 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w_2)))
% 163.65/163.58 => hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(V_w_2)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 163.65/163.58 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w_2)))
% 163.65/163.58 => 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)))) ) ) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_number__of__Bit1,axiom,
% 163.65/163.58 ! [V_w,T_a] :
% 163.65/163.58 ( class_Int_Onumber__ring(T_a)
% 163.65/163.58 => 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)) ) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_neg__imp__number__of__eq__0,axiom,
% 163.65/163.58 ! [V_v] :
% 163.65/163.58 ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 163.65/163.58 => hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_neg__zminus__int,axiom,
% 163.65/163.58 ! [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))))) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_eq__nat__number__of,axiom,
% 163.65/163.58 ! [V_v_H_2,V_v_2] :
% 163.65/163.58 ( 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)
% 163.65/163.58 <=> ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_2)))
% 163.65/163.58 => 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))) )
% 163.65/163.58 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_2)))
% 163.65/163.58 => ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H_2)))
% 163.65/163.58 => hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_2) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) )
% 163.65/163.58 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H_2)))
% 163.65/163.58 => V_v_2 = V_v_H_2 ) ) ) ) ) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_nat__number__of__add__left,axiom,
% 163.65/163.58 ! [V_k,V_v_H,V_v] :
% 163.65/163.58 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 163.65/163.58 => 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) )
% 163.65/163.58 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 163.65/163.58 => ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H)))
% 163.65/163.58 => 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) )
% 163.65/163.58 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H)))
% 163.65/163.58 => 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) ) ) ) ) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_int__nat__number__of,axiom,
% 163.65/163.58 ! [V_v] :
% 163.65/163.58 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 163.65/163.58 => 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) )
% 163.65/163.58 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 163.65/163.58 => 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) ) ) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_diff__nat__eq__if,axiom,
% 163.65/163.58 ! [V_z_2,V_z_H_2] :
% 163.65/163.58 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,V_z_H_2))
% 163.65/163.58 => 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) )
% 163.65/163.58 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,V_z_H_2))
% 163.65/163.58 => 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)) ) ) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_of__nat__number__of__eq,axiom,
% 163.65/163.58 ! [V_v,T_a] :
% 163.65/163.58 ( class_Int_Onumber__ring(T_a)
% 163.65/163.58 => ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 163.65/163.58 => 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) )
% 163.65/163.58 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 163.65/163.58 => 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) ) ) ) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_power__number__of__odd,axiom,
% 163.65/163.58 ! [V_z_2,V_w_2,T_b] :
% 163.65/163.58 ( class_Int_Onumber__ring(T_b)
% 163.65/163.58 => ( ( 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)))
% 163.65/163.58 => 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))) )
% 163.65/163.58 & ( ~ 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)))
% 163.65/163.58 => 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) ) ) ) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_mod__nat__number__of,axiom,
% 163.65/163.58 ! [V_v_H,V_v] :
% 163.65/163.58 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 163.65/163.58 => 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) )
% 163.65/163.58 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 163.65/163.58 => ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H)))
% 163.65/163.58 => 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) )
% 163.65/163.58 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H)))
% 163.65/163.58 => 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))) ) ) ) ) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_div__nat__number__of,axiom,
% 163.65/163.58 ! [V_v_H,V_v] :
% 163.65/163.58 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 163.65/163.58 => 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) )
% 163.65/163.58 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 163.65/163.58 => 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))) ) ) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_zpower__number__of__odd,axiom,
% 163.65/163.58 ! [V_z_2,V_w_2] :
% 163.65/163.58 ( ( 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)))
% 163.65/163.58 => 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))) )
% 163.65/163.58 & ( ~ 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)))
% 163.65/163.58 => 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) ) ) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_Suc__nat__number__of__add,axiom,
% 163.65/163.58 ! [V_n,V_v] :
% 163.65/163.58 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 163.65/163.58 => 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) )
% 163.65/163.58 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 163.65/163.58 => 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) ) ) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_diff__nat__number__of,axiom,
% 163.65/163.58 ! [V_v_2,V_v_H_2] :
% 163.65/163.58 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v_H_2),c_Int_OPls))
% 163.65/163.58 => 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) )
% 163.65/163.58 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v_H_2),c_Int_OPls))
% 163.65/163.58 => 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)) ) ) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_min__number__of__Suc,axiom,
% 163.65/163.58 ! [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)))) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_min__Suc__number__of,axiom,
% 163.65/163.58 ! [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)))) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_succ__Pls,axiom,
% 163.65/163.58 c_Int_Osucc(c_Int_OPls) = c_Int_OBit1(c_Int_OPls) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_rel__simps_I39_J,axiom,
% 163.65/163.58 ! [V_l] : c_Int_OPls != c_Int_OBit1(V_l) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_rel__simps_I46_J,axiom,
% 163.65/163.58 ! [V_k] : c_Int_OBit1(V_k) != c_Int_OPls ).
% 163.65/163.58
% 163.65/163.58 fof(fact_rel__simps_I19_J,axiom,
% 163.65/163.58 hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),c_Int_OPls)) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_rel__simps_I2_J,axiom,
% 163.65/163.58 ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),c_Int_OPls)) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_add__Pls,axiom,
% 163.65/163.58 ! [V_k] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Int_OPls),V_k) = V_k ).
% 163.65/163.58
% 163.65/163.58 fof(fact_add__Pls__right,axiom,
% 163.65/163.58 ! [V_k] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_k),c_Int_OPls) = V_k ).
% 163.65/163.58
% 163.65/163.58 fof(fact_mult__Pls,axiom,
% 163.65/163.58 ! [V_w] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Int_OPls),V_w) = c_Int_OPls ).
% 163.65/163.58
% 163.65/163.58 fof(fact_diff__bin__simps_I1_J,axiom,
% 163.65/163.58 ! [V_k] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_k),c_Int_OPls) = V_k ).
% 163.65/163.58
% 163.65/163.58 fof(fact_minus__Pls,axiom,
% 163.65/163.58 hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Int_OPls) = c_Int_OPls ).
% 163.65/163.58
% 163.65/163.58 fof(fact_Pls__def,axiom,
% 163.65/163.58 c_Int_OPls = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_succ__pred,axiom,
% 163.65/163.58 ! [V_x] : c_Int_Osucc(c_Int_Opred(V_x)) = V_x ).
% 163.65/163.58
% 163.65/163.58 fof(fact_semiring__norm_I112_J,axiom,
% 163.65/163.58 ! [T_a] :
% 163.65/163.58 ( class_Int_Onumber__ring(T_a)
% 163.65/163.58 => c_Groups_Ozero__class_Ozero(T_a) = hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OPls) ) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_number__of__Pls,axiom,
% 163.65/163.58 ! [T_a] :
% 163.65/163.58 ( class_Int_Onumber__ring(T_a)
% 163.65/163.58 => hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OPls) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_add__numeral__0__right,axiom,
% 163.65/163.58 ! [V_a,T_a] :
% 163.65/163.58 ( class_Int_Onumber__ring(T_a)
% 163.65/163.58 => 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 ) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_add__numeral__0,axiom,
% 163.65/163.58 ! [V_a,T_a] :
% 163.65/163.58 ( class_Int_Onumber__ring(T_a)
% 163.65/163.58 => 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 ) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_bin__less__0__simps_I1_J,axiom,
% 163.65/163.58 ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_nat__number__of__Pls,axiom,
% 163.65/163.58 hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OPls) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_semiring__norm_I113_J,axiom,
% 163.65/163.58 c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OPls) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_zero__is__num__zero,axiom,
% 163.65/163.58 c_Groups_Ozero__class_Ozero(tc_Int_Oint) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OPls) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_rel__simps_I22_J,axiom,
% 163.65/163.58 ! [V_k_2] :
% 163.65/163.58 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),c_Int_OBit1(V_k_2)))
% 163.65/163.58 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),V_k_2)) ) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_rel__simps_I12_J,axiom,
% 163.65/163.58 ! [V_k_2] :
% 163.65/163.58 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OPls))
% 163.65/163.58 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Int_OPls)) ) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_Suc__diff__number__of,axiom,
% 163.65/163.58 ! [V_m,V_v] :
% 163.65/163.58 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),V_v))
% 163.65/163.58 => 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))) ) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_not__neg__number__of__Pls,axiom,
% 163.65/163.58 ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OPls))) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_nat__1__add__number__of,axiom,
% 163.65/163.58 ! [V_v] :
% 163.65/163.58 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls))
% 163.65/163.58 => 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) )
% 163.65/163.58 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls))
% 163.65/163.58 => 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)) ) ) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_nat__number__of__add__1,axiom,
% 163.65/163.58 ! [V_v] :
% 163.65/163.58 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls))
% 163.65/163.58 => 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) )
% 163.65/163.58 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls))
% 163.65/163.58 => 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)) ) ) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_le__iff__pred__less,axiom,
% 163.65/163.58 ! [V_l_2,V_k_2] :
% 163.65/163.58 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),V_l_2))
% 163.65/163.58 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_Opred(V_k_2)),V_l_2)) ) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_minus__Bit1,axiom,
% 163.65/163.58 ! [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))) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_pred__def,axiom,
% 163.65/163.58 ! [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)) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_nat__number__of__diff__1,axiom,
% 163.65/163.58 ! [V_v] :
% 163.65/163.58 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_v),c_Int_OPls))
% 163.65/163.58 => 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) )
% 163.65/163.58 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_v),c_Int_OPls))
% 163.65/163.58 => 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)) ) ) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_mult__numeral__1__right,axiom,
% 163.65/163.58 ! [V_a,T_a] :
% 163.65/163.58 ( class_Int_Onumber__ring(T_a)
% 163.65/163.58 => 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 ) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_mult__numeral__1,axiom,
% 163.65/163.58 ! [V_a,T_a] :
% 163.65/163.58 ( class_Int_Onumber__ring(T_a)
% 163.65/163.58 => 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 ) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_numeral__1__eq__1,axiom,
% 163.65/163.58 ! [T_a] :
% 163.65/163.58 ( class_Int_Onumber__ring(T_a)
% 163.65/163.58 => hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OBit1(c_Int_OPls)) = c_Groups_Oone__class_Oone(T_a) ) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_semiring__norm_I110_J,axiom,
% 163.65/163.58 ! [T_a] :
% 163.65/163.58 ( class_Int_Onumber__ring(T_a)
% 163.65/163.58 => c_Groups_Oone__class_Oone(T_a) = hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OBit1(c_Int_OPls)) ) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_eq__0__number__of,axiom,
% 163.65/163.58 ! [V_v_2] :
% 163.65/163.58 ( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2)
% 163.65/163.58 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_v_2),c_Int_OPls)) ) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_eq__number__of__0,axiom,
% 163.65/163.58 ! [V_v_2] :
% 163.65/163.58 ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 163.65/163.58 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_v_2),c_Int_OPls)) ) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_number__of2,axiom,
% 163.65/163.58 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))) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_rel__simps_I29_J,axiom,
% 163.65/163.58 ! [V_k_2] :
% 163.65/163.58 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OPls))
% 163.65/163.58 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Int_OPls)) ) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_rel__simps_I5_J,axiom,
% 163.65/163.58 ! [V_k_2] :
% 163.65/163.58 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),c_Int_OBit1(V_k_2)))
% 163.65/163.58 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),V_k_2)) ) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_less__nat__number__of,axiom,
% 163.65/163.58 ! [V_v_H_2,V_v_2] :
% 163.65/163.58 ( 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)))
% 163.65/163.58 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v_2),V_v_H_2))
% 163.65/163.58 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),V_v_H_2)) )
% 163.65/163.58 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v_2),V_v_H_2)) ) ) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_le__nat__number__of,axiom,
% 163.65/163.58 ! [V_v_H_2,V_v_2] :
% 163.65/163.58 ( 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)))
% 163.65/163.58 <=> ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_v_2),V_v_H_2))
% 163.65/163.58 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_v_2),c_Int_OPls)) ) ) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_one__is__num__one,axiom,
% 163.65/163.58 c_Groups_Oone__class_Oone(tc_Int_Oint) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit1(c_Int_OPls)) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_Numeral1__eq1__nat,axiom,
% 163.65/163.58 c_Groups_Oone__class_Oone(tc_Nat_Onat) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(c_Int_OPls)) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_nat__numeral__1__eq__1,axiom,
% 163.65/163.58 hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(c_Int_OPls)) = c_Groups_Oone__class_Oone(tc_Nat_Onat) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I8_J,axiom,
% 163.65/163.58 c_Nat__Transfer_Ois__nat(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit1(c_Int_OBit1(c_Int_OPls)))) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_succ__def,axiom,
% 163.65/163.58 ! [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)) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_le__special_I1_J,axiom,
% 163.65/163.58 ! [V_y_2,T_b] :
% 163.65/163.58 ( ( class_Int_Onumber__ring(T_b)
% 163.65/163.58 & class_Rings_Olinordered__idom(T_b) )
% 163.65/163.58 => ( 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)))
% 163.65/163.58 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),V_y_2)) ) ) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_le__special_I3_J,axiom,
% 163.65/163.58 ! [V_x_2,T_b] :
% 163.65/163.58 ( ( class_Int_Onumber__ring(T_b)
% 163.65/163.58 & class_Rings_Olinordered__idom(T_b) )
% 163.65/163.58 => ( 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)))
% 163.65/163.58 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_x_2),c_Int_OPls)) ) ) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_less__special_I1_J,axiom,
% 163.65/163.58 ! [V_y_2,T_b] :
% 163.65/163.58 ( ( class_Int_Onumber__ring(T_b)
% 163.65/163.58 & class_Rings_Olinordered__idom(T_b) )
% 163.65/163.58 => ( 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)))
% 163.65/163.58 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),V_y_2)) ) ) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_less__special_I3_J,axiom,
% 163.65/163.58 ! [V_x_2,T_b] :
% 163.65/163.58 ( ( class_Int_Onumber__ring(T_b)
% 163.65/163.58 & class_Rings_Olinordered__idom(T_b) )
% 163.65/163.58 => ( 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)))
% 163.65/163.58 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_x_2),c_Int_OPls)) ) ) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_less__0__number__of,axiom,
% 163.65/163.58 ! [V_v_2] :
% 163.65/163.58 ( 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)))
% 163.65/163.58 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),V_v_2)) ) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_numeral__3__eq__3,axiom,
% 163.65/163.58 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)))) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_numeral__1__eq__Suc__0,axiom,
% 163.65/163.58 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)) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_power3__eq__cube,axiom,
% 163.65/163.58 ! [V_a,T_a] :
% 163.65/163.58 ( class_Groups_Omonoid__mult(T_a)
% 163.65/163.58 => 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) ) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I8_J,axiom,
% 163.65/163.58 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))))) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_Suc3__eq__add__3,axiom,
% 163.65/163.58 ! [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) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_add__nat__number__of,axiom,
% 163.65/163.58 ! [V_v_H,V_v] :
% 163.65/163.58 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls))
% 163.65/163.58 => 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) )
% 163.65/163.58 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls))
% 163.65/163.58 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v_H),c_Int_OPls))
% 163.65/163.58 => 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) )
% 163.65/163.58 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v_H),c_Int_OPls))
% 163.65/163.58 => 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)) ) ) ) ) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_transfer__int__nat__numerals_I4_J,axiom,
% 163.65/163.58 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)))) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_transfer__nat__int__numerals_I4_J,axiom,
% 163.65/163.58 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)))) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_number__of__succ,axiom,
% 163.65/163.58 ! [V_k,T_a] :
% 163.65/163.58 ( class_Int_Onumber__ring(T_a)
% 163.65/163.58 => 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)) ) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_number__of__pred,axiom,
% 163.65/163.58 ! [V_w,T_a] :
% 163.65/163.58 ( class_Int_Onumber__ring(T_a)
% 163.65/163.58 => 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)) ) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_le__special_I2_J,axiom,
% 163.65/163.58 ! [V_y_2,T_b] :
% 163.65/163.58 ( ( class_Int_Onumber__ring(T_b)
% 163.65/163.58 & class_Rings_Olinordered__idom(T_b) )
% 163.65/163.58 => ( 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)))
% 163.65/163.58 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit1(c_Int_OPls)),V_y_2)) ) ) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_le__special_I4_J,axiom,
% 163.65/163.58 ! [V_x_2,T_b] :
% 163.65/163.58 ( ( class_Int_Onumber__ring(T_b)
% 163.65/163.58 & class_Rings_Olinordered__idom(T_b) )
% 163.65/163.58 => ( 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)))
% 163.65/163.58 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_x_2),c_Int_OBit1(c_Int_OPls))) ) ) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_less__special_I2_J,axiom,
% 163.65/163.58 ! [V_y_2,T_b] :
% 163.65/163.58 ( ( class_Int_Onumber__ring(T_b)
% 163.65/163.58 & class_Rings_Olinordered__idom(T_b) )
% 163.65/163.58 => ( 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)))
% 163.65/163.58 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit1(c_Int_OPls)),V_y_2)) ) ) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_less__special_I4_J,axiom,
% 163.65/163.58 ! [V_x_2,T_b] :
% 163.65/163.58 ( ( class_Int_Onumber__ring(T_b)
% 163.65/163.58 & class_Rings_Olinordered__idom(T_b) )
% 163.65/163.58 => ( 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)))
% 163.65/163.58 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_x_2),c_Int_OBit1(c_Int_OPls))) ) ) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_add__special_I3_J,axiom,
% 163.65/163.58 ! [V_v,T_a] :
% 163.65/163.58 ( class_Int_Onumber__ring(T_a)
% 163.65/163.58 => 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))) ) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_add__special_I2_J,axiom,
% 163.65/163.58 ! [V_w,T_a] :
% 163.65/163.58 ( class_Int_Onumber__ring(T_a)
% 163.65/163.58 => 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)) ) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_Suc__diff__eq__diff__pred,axiom,
% 163.65/163.58 ! [V_m,V_n] :
% 163.65/163.58 ( 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))
% 163.65/163.58 => 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)))) ) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_mult__nat__number__of,axiom,
% 163.65/163.58 ! [V_v_H,V_v] :
% 163.65/163.58 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls))
% 163.65/163.58 => 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) )
% 163.65/163.58 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls))
% 163.65/163.58 => 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)) ) ) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_nat__number__of__mult__left,axiom,
% 163.65/163.58 ! [V_k,V_v_H,V_v] :
% 163.65/163.58 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls))
% 163.65/163.58 => 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) )
% 163.65/163.58 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls))
% 163.65/163.58 => 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) ) ) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_neg__number__of__pred__iff__0,axiom,
% 163.65/163.58 ! [V_v_2] :
% 163.65/163.58 ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_Opred(V_v_2))))
% 163.65/163.58 <=> hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_Suc__mod__eq__add3__mod__number__of,axiom,
% 163.65/163.58 ! [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)) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_Suc__mod__eq__add3__mod,axiom,
% 163.65/163.58 ! [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) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_mod__Suc__eq__mod__add3,axiom,
% 163.65/163.58 ! [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)) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_Suc__div__eq__add3__div__number__of,axiom,
% 163.65/163.58 ! [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)) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_Suc__div__eq__add3__div,axiom,
% 163.65/163.58 ! [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) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_div__Suc__eq__div__add3,axiom,
% 163.65/163.58 ! [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)) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_diff__special_I2_J,axiom,
% 163.65/163.58 ! [V_v,T_a] :
% 163.65/163.58 ( class_Int_Onumber__ring(T_a)
% 163.65/163.58 => 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)))) ) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_diff__special_I1_J,axiom,
% 163.65/163.58 ! [V_w,T_a] :
% 163.65/163.58 ( class_Int_Onumber__ring(T_a)
% 163.65/163.58 => 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))) ) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_eq__number__of__Suc,axiom,
% 163.65/163.58 ! [V_n_2,V_v_2] :
% 163.65/163.58 ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2) = hAPP(c_Nat_OSuc,V_n_2)
% 163.65/163.58 <=> 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))))) ) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_Suc__eq__number__of,axiom,
% 163.65/163.58 ! [V_v_2,V_n_2] :
% 163.65/163.58 ( hAPP(c_Nat_OSuc,V_n_2) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2)
% 163.65/163.58 <=> 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))))) ) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_less__number__of__Suc,axiom,
% 163.65/163.58 ! [V_n_2,V_v_2] :
% 163.65/163.58 ( 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)))
% 163.65/163.58 <=> 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)))) ) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_less__Suc__number__of,axiom,
% 163.65/163.58 ! [V_v_2,V_n_2] :
% 163.65/163.58 ( 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)))
% 163.65/163.58 <=> 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))))) ) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_le__number__of__Suc,axiom,
% 163.65/163.58 ! [V_n_2,V_v_2] :
% 163.65/163.58 ( 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)))
% 163.65/163.58 <=> 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)))) ) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_le__Suc__number__of,axiom,
% 163.65/163.58 ! [V_v_2,V_n_2] :
% 163.65/163.58 ( 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)))
% 163.65/163.58 <=> 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))))) ) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_Suc__nat__number__of,axiom,
% 163.65/163.58 ! [V_v] :
% 163.65/163.58 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 163.65/163.58 => hAPP(c_Nat_OSuc,hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)) = c_Groups_Oone__class_Oone(tc_Nat_Onat) )
% 163.65/163.58 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 163.65/163.58 => 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)) ) ) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_max__number__of__Suc,axiom,
% 163.65/163.58 ! [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)))) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_max__Suc__number__of,axiom,
% 163.65/163.58 ! [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)))) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_nat__case__add__eq__if,axiom,
% 163.65/163.58 ! [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)))) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_of__int__num,axiom,
% 163.65/163.58 ! [V_k_2,T_b] :
% 163.65/163.58 ( class_Rings_Oring__1(T_b)
% 163.65/163.58 => ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 163.65/163.58 => hAPP(c_Int_Oring__1__class_Oof__int(T_b),V_k_2) = c_Groups_Ozero__class_Ozero(T_b) )
% 163.65/163.58 & ( V_k_2 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 163.65/163.58 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 163.65/163.58 => 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))) )
% 163.65/163.58 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 163.65/163.58 => 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))))) ) ) ) ) ) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_nat__case__number__of,axiom,
% 163.65/163.58 ! [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))) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_nat__rec__add__eq__if,axiom,
% 163.65/163.58 ! [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))))) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_rel__simps_I44_J,axiom,
% 163.65/163.58 ! [V_k_2] :
% 163.65/163.58 ( c_Int_OBit0(V_k_2) = c_Int_OPls
% 163.65/163.58 <=> V_k_2 = c_Int_OPls ) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_rel__simps_I38_J,axiom,
% 163.65/163.58 ! [V_l_2] :
% 163.65/163.58 ( c_Int_OPls = c_Int_OBit0(V_l_2)
% 163.65/163.58 <=> c_Int_OPls = V_l_2 ) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_Bit0__Pls,axiom,
% 163.65/163.58 c_Int_OBit0(c_Int_OPls) = c_Int_OPls ).
% 163.65/163.58
% 163.65/163.58 fof(fact_add__Bit0__Bit0,axiom,
% 163.65/163.58 ! [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)) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_Bit0__def,axiom,
% 163.65/163.58 ! [V_k] : c_Int_OBit0(V_k) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_k),V_k) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_rel__simps_I48_J,axiom,
% 163.65/163.58 ! [V_l_2,V_k_2] :
% 163.65/163.58 ( c_Int_OBit0(V_k_2) = c_Int_OBit0(V_l_2)
% 163.65/163.58 <=> V_k_2 = V_l_2 ) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_mult__Bit0,axiom,
% 163.65/163.58 ! [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)) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_minus__Bit0,axiom,
% 163.65/163.58 ! [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)) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_diff__bin__simps_I7_J,axiom,
% 163.65/163.58 ! [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)) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_less__eq__int__code_I13_J,axiom,
% 163.65/163.58 ! [V_k2_2,V_k1_2] :
% 163.65/163.58 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit0(V_k1_2)),c_Int_OBit0(V_k2_2)))
% 163.65/163.58 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k1_2),V_k2_2)) ) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_rel__simps_I31_J,axiom,
% 163.65/163.58 ! [V_l_2,V_k_2] :
% 163.65/163.58 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OBit0(V_l_2)))
% 163.65/163.58 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),V_l_2)) ) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_less__int__code_I13_J,axiom,
% 163.65/163.58 ! [V_k2_2,V_k1_2] :
% 163.65/163.58 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit0(V_k1_2)),c_Int_OBit0(V_k2_2)))
% 163.65/163.58 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k1_2),V_k2_2)) ) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_rel__simps_I14_J,axiom,
% 163.65/163.58 ! [V_l_2,V_k_2] :
% 163.65/163.58 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OBit0(V_l_2)))
% 163.65/163.58 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),V_l_2)) ) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_rel__simps_I50_J,axiom,
% 163.65/163.58 ! [V_l,V_k] : c_Int_OBit1(V_k) != c_Int_OBit0(V_l) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_rel__simps_I49_J,axiom,
% 163.65/163.58 ! [V_l,V_k] : c_Int_OBit0(V_k) != c_Int_OBit1(V_l) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_bin__less__0__simps_I3_J,axiom,
% 163.65/163.58 ! [V_w_2] :
% 163.65/163.58 ( 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)))
% 163.65/163.58 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_nat__rec__0,axiom,
% 163.65/163.58 ! [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 ).
% 163.65/163.58
% 163.65/163.58 fof(fact_nat__rec__Suc,axiom,
% 163.65/163.58 ! [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)) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_rel__simps_I27_J,axiom,
% 163.65/163.58 ! [V_k_2] :
% 163.65/163.58 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OPls))
% 163.65/163.58 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),c_Int_OPls)) ) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_rel__simps_I21_J,axiom,
% 163.65/163.58 ! [V_k_2] :
% 163.65/163.58 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),c_Int_OBit0(V_k_2)))
% 163.65/163.58 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),V_k_2)) ) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_less__eq__int__code_I14_J,axiom,
% 163.65/163.58 ! [V_k2_2,V_k1_2] :
% 163.65/163.58 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit0(V_k1_2)),c_Int_OBit1(V_k2_2)))
% 163.65/163.58 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k1_2),V_k2_2)) ) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_rel__simps_I32_J,axiom,
% 163.65/163.58 ! [V_l_2,V_k_2] :
% 163.65/163.58 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OBit1(V_l_2)))
% 163.65/163.58 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),V_l_2)) ) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_rel__simps_I10_J,axiom,
% 163.65/163.58 ! [V_k_2] :
% 163.65/163.58 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OPls))
% 163.65/163.58 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Int_OPls)) ) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_rel__simps_I4_J,axiom,
% 163.65/163.58 ! [V_k_2] :
% 163.65/163.58 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),c_Int_OBit0(V_k_2)))
% 163.65/163.58 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),V_k_2)) ) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_less__int__code_I15_J,axiom,
% 163.65/163.58 ! [V_k2_2,V_k1_2] :
% 163.65/163.58 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit1(V_k1_2)),c_Int_OBit0(V_k2_2)))
% 163.65/163.58 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k1_2),V_k2_2)) ) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_rel__simps_I16_J,axiom,
% 163.65/163.58 ! [V_l_2,V_k_2] :
% 163.65/163.58 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OBit0(V_l_2)))
% 163.65/163.58 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),V_l_2)) ) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_add__Bit1__Bit0,axiom,
% 163.65/163.58 ! [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)) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_add__Bit0__Bit1,axiom,
% 163.65/163.58 ! [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)) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_diff__bin__simps_I3_J,axiom,
% 163.65/163.58 ! [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)) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_diff__bin__simps_I9_J,axiom,
% 163.65/163.58 ! [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)) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_diff__bin__simps_I10_J,axiom,
% 163.65/163.58 ! [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)) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_zdiv__number__of__Bit0,axiom,
% 163.65/163.58 ! [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)) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_neg__number__of__Bit0,axiom,
% 163.65/163.58 ! [V_w_2] :
% 163.65/163.58 ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(V_w_2))))
% 163.65/163.58 <=> hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w_2))) ) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_pred__Bit0,axiom,
% 163.65/163.58 ! [V_k] : c_Int_Opred(c_Int_OBit0(V_k)) = c_Int_OBit1(c_Int_Opred(V_k)) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_pred__Bit1,axiom,
% 163.65/163.58 ! [V_k] : c_Int_Opred(c_Int_OBit1(V_k)) = c_Int_OBit0(V_k) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_succ__Bit1,axiom,
% 163.65/163.58 ! [V_k] : c_Int_Osucc(c_Int_OBit1(V_k)) = c_Int_OBit0(c_Int_Osucc(V_k)) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_succ__Bit0,axiom,
% 163.65/163.58 ! [V_k] : c_Int_Osucc(c_Int_OBit0(V_k)) = c_Int_OBit1(V_k) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_nat__number__of__Bit0,axiom,
% 163.65/163.58 ! [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))) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_nat__case__0,axiom,
% 163.65/163.58 ! [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 ).
% 163.65/163.58
% 163.65/163.58 fof(fact_nat__case__Suc,axiom,
% 163.65/163.58 ! [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) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_number__of__Bit0,axiom,
% 163.65/163.58 ! [V_w,T_a] :
% 163.65/163.58 ( class_Int_Onumber__ring(T_a)
% 163.65/163.58 => 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)) ) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_rel__simps_I15_J,axiom,
% 163.65/163.58 ! [V_l_2,V_k_2] :
% 163.65/163.58 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OBit1(V_l_2)))
% 163.65/163.58 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),V_l_2)) ) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_less__int__code_I14_J,axiom,
% 163.65/163.58 ! [V_k2_2,V_k1_2] :
% 163.65/163.58 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit0(V_k1_2)),c_Int_OBit1(V_k2_2)))
% 163.65/163.58 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k1_2),V_k2_2)) ) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_rel__simps_I33_J,axiom,
% 163.65/163.58 ! [V_l_2,V_k_2] :
% 163.65/163.58 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OBit0(V_l_2)))
% 163.65/163.58 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),V_l_2)) ) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_less__eq__int__code_I15_J,axiom,
% 163.65/163.58 ! [V_k2_2,V_k1_2] :
% 163.65/163.58 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit1(V_k1_2)),c_Int_OBit0(V_k2_2)))
% 163.65/163.58 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k1_2),V_k2_2)) ) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_card__UNIV__bool,axiom,
% 163.65/163.58 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))) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_mult__Bit1,axiom,
% 163.65/163.58 ! [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) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_diff__bin__simps_I8_J,axiom,
% 163.65/163.58 ! [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)) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_add__Bit1__Bit1,axiom,
% 163.65/163.58 ! [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))) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_power__number__of__even,axiom,
% 163.65/163.58 ! [V_w_2,V_z_2,T_b] :
% 163.65/163.58 ( class_Int_Onumber__ring(T_b)
% 163.65/163.58 => 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))) ) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_zpower__number__of__even,axiom,
% 163.65/163.58 ! [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))) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_double__number__of__Bit0,axiom,
% 163.65/163.58 ! [V_w,T_a] :
% 163.65/163.58 ( class_Int_Onumber__ring(T_a)
% 163.65/163.58 => 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)) ) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_number__of1,axiom,
% 163.65/163.58 ! [V_n] :
% 163.65/163.58 ( 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)))
% 163.65/163.58 => ( 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))))
% 163.65/163.58 & 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)))) ) ) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I7_J,axiom,
% 163.65/163.58 c_Nat__Transfer_Ois__nat(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) ).
% 163.65/163.58
% 163.65/163.58 fof(fact_power__number__of__even__number__of,axiom,
% 163.65/163.58 ! [V_w_2,V_v_2,T_b] :
% 163.65/163.58 ( class_Int_Onumber__ring(T_b)
% 163.65/163.59 => 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))) ) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_max__Suc2,axiom,
% 163.65/163.59 ! [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) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_max__Suc1,axiom,
% 163.65/163.59 ! [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) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_mult__2,axiom,
% 163.65/163.59 ! [V_z,T_a] :
% 163.65/163.59 ( class_Int_Onumber__ring(T_a)
% 163.65/163.59 => 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) ) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_mult__2__right,axiom,
% 163.65/163.59 ! [V_z,T_a] :
% 163.65/163.59 ( class_Int_Onumber__ring(T_a)
% 163.65/163.59 => 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) ) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_one__add__one__is__two,axiom,
% 163.65/163.59 ! [T_a] :
% 163.65/163.59 ( class_Int_Onumber__ring(T_a)
% 163.65/163.59 => 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))) ) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_zero__power2,axiom,
% 163.65/163.59 ! [T_a] :
% 163.65/163.59 ( class_Rings_Osemiring__1(T_a)
% 163.65/163.59 => 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) ) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_zero__eq__power2,axiom,
% 163.65/163.59 ! [V_a_2,T_b] :
% 163.65/163.59 ( class_Rings_Oring__1__no__zero__divisors(T_b)
% 163.65/163.59 => ( 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)
% 163.65/163.59 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_semiring__norm_I115_J,axiom,
% 163.65/163.59 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))) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_numeral__2__eq__2,axiom,
% 163.65/163.59 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))) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_power2__eq__square,axiom,
% 163.65/163.59 ! [V_a,T_a] :
% 163.65/163.59 ( class_Groups_Omonoid__mult(T_a)
% 163.65/163.59 => 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) ) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I29_J,axiom,
% 163.65/163.59 ! [V_x,T_a] :
% 163.65/163.59 ( class_Rings_Ocomm__semiring__1(T_a)
% 163.65/163.59 => 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)))) ) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I7_J,axiom,
% 163.65/163.59 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))))) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_add__2__eq__Suc_H,axiom,
% 163.65/163.59 ! [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)) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_add__2__eq__Suc,axiom,
% 163.65/163.59 ! [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)) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_one__power2,axiom,
% 163.65/163.59 ! [T_a] :
% 163.65/163.59 ( class_Rings_Osemiring__1(T_a)
% 163.65/163.59 => 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) ) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_power2__minus,axiom,
% 163.65/163.59 ! [V_a,T_a] :
% 163.65/163.59 ( class_Rings_Oring__1(T_a)
% 163.65/163.59 => 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)))) ) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_nat__mult__2,axiom,
% 163.65/163.59 ! [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) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_nat__mult__2__right,axiom,
% 163.65/163.59 ! [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) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_power__even__eq,axiom,
% 163.65/163.59 ! [V_n,V_a,T_a] :
% 163.65/163.59 ( class_Groups_Omonoid__mult(T_a)
% 163.65/163.59 => 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)))) ) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_transfer__int__nat__numerals_I3_J,axiom,
% 163.65/163.59 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)))) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_transfer__nat__int__numerals_I3_J,axiom,
% 163.65/163.59 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)))) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_nat__1__add__1,axiom,
% 163.65/163.59 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))) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_mod2__Suc__Suc,axiom,
% 163.65/163.59 ! [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)))) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_div2__Suc__Suc,axiom,
% 163.65/163.59 ! [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))))) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_zmod__number__of__Bit0,axiom,
% 163.65/163.59 ! [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))) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_add__self__div__2,axiom,
% 163.65/163.59 ! [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 ).
% 163.65/163.59
% 163.65/163.59 fof(fact_less__eq__nat_Osimps_I2_J,axiom,
% 163.65/163.59 ! [V_n_2,V_m_2] :
% 163.65/163.59 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m_2)),V_n_2))
% 163.65/163.59 <=> 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)) ) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_diff__Suc,axiom,
% 163.65/163.59 ! [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)) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_zero__le__power2,axiom,
% 163.65/163.59 ! [V_a,T_a] :
% 163.65/163.59 ( class_Rings_Olinordered__idom(T_a)
% 163.65/163.59 => 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)))))) ) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_power2__le__imp__le,axiom,
% 163.65/163.59 ! [V_y,V_x,T_a] :
% 163.65/163.59 ( class_Rings_Olinordered__semidom(T_a)
% 163.65/163.59 => ( 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))))))
% 163.65/163.59 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 163.65/163.59 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) ) ) ) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_power2__eq__imp__eq,axiom,
% 163.65/163.59 ! [V_y,V_x,T_a] :
% 163.65/163.59 ( class_Rings_Olinordered__semidom(T_a)
% 163.65/163.59 => ( 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))))
% 163.65/163.59 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 163.65/163.59 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 163.65/163.59 => V_x = V_y ) ) ) ) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_power2__less__0,axiom,
% 163.65/163.59 ! [V_a,T_a] :
% 163.65/163.59 ( class_Rings_Olinordered__idom(T_a)
% 163.65/163.59 => ~ 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))) ) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_zero__less__power2,axiom,
% 163.65/163.59 ! [V_a_2,T_b] :
% 163.65/163.59 ( class_Rings_Olinordered__idom(T_b)
% 163.65/163.59 => ( 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))))))
% 163.65/163.59 <=> V_a_2 != c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_sum__power2__eq__zero__iff,axiom,
% 163.65/163.59 ! [V_y_2,V_x_2,T_b] :
% 163.65/163.59 ( class_Rings_Olinordered__idom(T_b)
% 163.65/163.59 => ( 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)
% 163.65/163.59 <=> ( V_x_2 = c_Groups_Ozero__class_Ozero(T_b)
% 163.65/163.59 & V_y_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_power2__eq__square__number__of,axiom,
% 163.65/163.59 ! [V_w,T_b] :
% 163.65/163.59 ( ( class_Groups_Omonoid__mult(T_b)
% 163.65/163.59 & class_Int_Onumber(T_b) )
% 163.65/163.59 => 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)) ) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_less__2__cases,axiom,
% 163.65/163.59 ! [V_n] :
% 163.65/163.59 ( 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)))))
% 163.65/163.59 => ( V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 163.65/163.59 | V_n = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ) ) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_nat__2,axiom,
% 163.65/163.59 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))) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_power2__eq__1__iff,axiom,
% 163.65/163.59 ! [V_a_2,T_b] :
% 163.65/163.59 ( class_Rings_Oring__1__no__zero__divisors(T_b)
% 163.65/163.59 => ( 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)
% 163.65/163.59 <=> ( V_a_2 = c_Groups_Oone__class_Oone(T_b)
% 163.65/163.59 | V_a_2 = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),c_Groups_Oone__class_Oone(T_b)) ) ) ) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I36_J,axiom,
% 163.65/163.59 ! [V_n,V_x,T_a] :
% 163.65/163.59 ( class_Rings_Ocomm__semiring__1(T_a)
% 163.65/163.59 => 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)) ) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_power__minus__even,axiom,
% 163.65/163.59 ! [V_n,V_a,T_a] :
% 163.65/163.59 ( class_Rings_Oring__1(T_a)
% 163.65/163.59 => 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)) ) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_min__Suc2,axiom,
% 163.65/163.59 ! [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) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_min__Suc1,axiom,
% 163.65/163.59 ! [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) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_power2__less__imp__less,axiom,
% 163.65/163.59 ! [V_y,V_x,T_a] :
% 163.65/163.59 ( class_Rings_Olinordered__semidom(T_a)
% 163.65/163.59 => ( 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))))))
% 163.65/163.59 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 163.65/163.59 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) ) ) ) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_sum__power2__le__zero__iff,axiom,
% 163.65/163.59 ! [V_y_2,V_x_2,T_b] :
% 163.65/163.59 ( class_Rings_Olinordered__idom(T_b)
% 163.65/163.59 => ( 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)))
% 163.65/163.59 <=> ( V_x_2 = c_Groups_Ozero__class_Ozero(T_b)
% 163.65/163.59 & V_y_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_sum__power2__ge__zero,axiom,
% 163.65/163.59 ! [V_y,V_x,T_a] :
% 163.65/163.59 ( class_Rings_Olinordered__idom(T_a)
% 163.65/163.59 => 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))))))) ) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_sum__power2__gt__zero__iff,axiom,
% 163.65/163.59 ! [V_y_2,V_x_2,T_b] :
% 163.65/163.59 ( class_Rings_Olinordered__idom(T_b)
% 163.65/163.59 => ( 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)))))))
% 163.65/163.59 <=> ( V_x_2 != c_Groups_Ozero__class_Ozero(T_b)
% 163.65/163.59 | V_y_2 != c_Groups_Ozero__class_Ozero(T_b) ) ) ) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_not__sum__power2__lt__zero,axiom,
% 163.65/163.59 ! [V_y,V_x,T_a] :
% 163.65/163.59 ( class_Rings_Olinordered__idom(T_a)
% 163.65/163.59 => ~ 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))) ) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_power2__sum,axiom,
% 163.65/163.59 ! [V_y,V_x,T_a] :
% 163.65/163.59 ( class_Int_Onumber__ring(T_a)
% 163.65/163.59 => 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)) ) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_zero__le__even__power_H,axiom,
% 163.65/163.59 ! [V_n,V_a,T_a] :
% 163.65/163.59 ( class_Rings_Olinordered__idom(T_a)
% 163.65/163.59 => 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)))) ) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I37_J,axiom,
% 163.65/163.59 ! [V_n,V_x,T_a] :
% 163.65/163.59 ( class_Rings_Ocomm__semiring__1(T_a)
% 163.65/163.59 => 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))) ) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_power__odd__eq,axiom,
% 163.65/163.59 ! [V_n,V_a,T_a] :
% 163.65/163.59 ( class_Groups_Omonoid__mult(T_a)
% 163.65/163.59 => 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))))) ) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_power__minus1__even,axiom,
% 163.65/163.59 ! [V_n,T_a] :
% 163.65/163.59 ( class_Rings_Oring__1(T_a)
% 163.65/163.59 => 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) ) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_zdiv__number__of__Bit1,axiom,
% 163.65/163.59 ! [V_v,V_w] :
% 163.65/163.59 ( ( 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)))
% 163.65/163.59 => 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)) )
% 163.65/163.59 & ( ~ 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)))
% 163.65/163.59 => 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)) ) ) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_mod2__gr__0,axiom,
% 163.65/163.59 ! [V_m_2] :
% 163.65/163.59 ( 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))))))
% 163.65/163.59 <=> 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) ) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_div__2__gt__zero,axiom,
% 163.65/163.59 ! [V_n] :
% 163.65/163.59 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),V_n))
% 163.65/163.59 => 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)))))) ) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_power2__diff,axiom,
% 163.65/163.59 ! [V_y,V_x,T_a] :
% 163.65/163.59 ( class_Int_Onumber__ring(T_a)
% 163.65/163.59 => 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)) ) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_odd__0__le__power__imp__0__le,axiom,
% 163.65/163.59 ! [V_n,V_a,T_a] :
% 163.65/163.59 ( class_Rings_Olinordered__idom(T_a)
% 163.65/163.59 => ( 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)))))
% 163.65/163.59 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) ) ) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_odd__power__less__zero,axiom,
% 163.65/163.59 ! [V_n,V_a,T_a] :
% 163.65/163.59 ( class_Rings_Olinordered__idom(T_a)
% 163.65/163.59 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 163.65/163.59 => 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))) ) ) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_power__minus1__odd,axiom,
% 163.65/163.59 ! [V_n,T_a] :
% 163.65/163.59 ( class_Rings_Oring__1(T_a)
% 163.65/163.59 => 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)) ) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_Suc__n__div__2__gt__zero,axiom,
% 163.65/163.59 ! [V_n] :
% 163.65/163.59 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 163.65/163.59 => 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)))))) ) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_of__nat__double,axiom,
% 163.65/163.59 ! [V_x,T_a] :
% 163.65/163.59 ( class_Rings_Osemiring__1(T_a)
% 163.65/163.59 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 163.65/163.59 => 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))) ) ) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_pos__zmod__mult__2,axiom,
% 163.65/163.59 ! [V_b,V_a] :
% 163.65/163.59 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 163.65/163.59 => 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))) ) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_pos__zdiv__mult__2,axiom,
% 163.65/163.59 ! [V_b,V_a] :
% 163.65/163.59 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 163.65/163.59 => 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) ) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_neg__zdiv__mult__2,axiom,
% 163.65/163.59 ! [V_b,V_a] :
% 163.65/163.59 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 163.65/163.59 => 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) ) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_zmod__number__of__Bit1,axiom,
% 163.65/163.59 ! [V_v,V_w] :
% 163.65/163.59 ( ( 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)))
% 163.65/163.59 => 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)) )
% 163.65/163.59 & ( ~ 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)))
% 163.65/163.59 => 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)) ) ) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_neg__zmod__mult__2,axiom,
% 163.65/163.59 ! [V_b,V_a] :
% 163.65/163.59 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 163.65/163.59 => 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)) ) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_nat__rec__number__of,axiom,
% 163.65/163.59 ! [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)))) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_adjust__eq,axiom,
% 163.65/163.59 ! [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))) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_adjust__def,axiom,
% 163.65/163.59 ! [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))))))) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_posDivAlg__eqn__1__number__of,axiom,
% 163.65/163.59 ! [V_w] :
% 163.65/163.59 ( 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)))
% 163.65/163.59 => ( ( 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)))
% 163.65/163.59 => 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)) )
% 163.65/163.59 & ( ~ 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)))
% 163.65/163.59 => 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)))) ) ) ) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_posDivAlg_Osimps,axiom,
% 163.65/163.59 ! [V_b,V_a] :
% 163.65/163.59 ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),V_b))
% 163.65/163.59 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )
% 163.65/163.59 => 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) )
% 163.65/163.59 & ( ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),V_b))
% 163.65/163.59 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )
% 163.65/163.59 => 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))) ) ) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_posDivAlg__eqn,axiom,
% 163.65/163.59 ! [V_a,V_b] :
% 163.65/163.59 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 163.65/163.59 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),V_b))
% 163.65/163.59 => 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) )
% 163.65/163.59 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),V_b))
% 163.65/163.59 => 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))) ) ) ) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_posDivAlg__eqn__number__of,axiom,
% 163.65/163.59 ! [V_w,V_v] :
% 163.65/163.59 ( 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)))
% 163.65/163.59 => ( ( 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)))
% 163.65/163.59 => 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)) )
% 163.65/163.59 & ( ~ 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)))
% 163.65/163.59 => 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)))) ) ) ) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_posDivAlg_Opsimps,axiom,
% 163.65/163.59 ! [V_b_2,V_a_2] :
% 163.65/163.59 ( 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)))
% 163.65/163.59 => ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a_2),V_b_2))
% 163.65/163.59 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )
% 163.65/163.59 => 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) )
% 163.65/163.59 & ( ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a_2),V_b_2))
% 163.65/163.59 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )
% 163.65/163.59 => 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))) ) ) ) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_negDivAlg__eqn__1__number__of,axiom,
% 163.65/163.59 ! [V_w] :
% 163.65/163.59 ( 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)))
% 163.65/163.59 => ( ( 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))))
% 163.65/163.59 => 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))) )
% 163.65/163.59 & ( ~ 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))))
% 163.65/163.59 => 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)))) ) ) ) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_negDivAlg__eqn__number__of,axiom,
% 163.65/163.59 ! [V_w,V_v] :
% 163.65/163.59 ( 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)))
% 163.65/163.59 => ( ( 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))))
% 163.65/163.59 => 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))) )
% 163.65/163.59 & ( ~ 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))))
% 163.65/163.59 => 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)))) ) ) ) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_rel__simps_I37_J,axiom,
% 163.65/163.59 c_Int_OPls != c_Int_OMin ).
% 163.65/163.59
% 163.65/163.59 fof(fact_rel__simps_I40_J,axiom,
% 163.65/163.59 c_Int_OMin != c_Int_OPls ).
% 163.65/163.59
% 163.65/163.59 fof(fact_rel__simps_I24_J,axiom,
% 163.65/163.59 hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OMin),c_Int_OMin)) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_rel__simps_I7_J,axiom,
% 163.65/163.59 ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),c_Int_OMin)) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_rel__simps_I47_J,axiom,
% 163.65/163.59 ! [V_k_2] :
% 163.65/163.59 ( c_Int_OBit1(V_k_2) = c_Int_OMin
% 163.65/163.59 <=> V_k_2 = c_Int_OMin ) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_rel__simps_I43_J,axiom,
% 163.65/163.59 ! [V_l_2] :
% 163.65/163.59 ( c_Int_OMin = c_Int_OBit1(V_l_2)
% 163.65/163.59 <=> c_Int_OMin = V_l_2 ) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_Bit1__Min,axiom,
% 163.65/163.59 c_Int_OBit1(c_Int_OMin) = c_Int_OMin ).
% 163.65/163.59
% 163.65/163.59 fof(fact_rel__simps_I45_J,axiom,
% 163.65/163.59 ! [V_k] : c_Int_OBit0(V_k) != c_Int_OMin ).
% 163.65/163.59
% 163.65/163.59 fof(fact_rel__simps_I42_J,axiom,
% 163.65/163.59 ! [V_l] : c_Int_OMin != c_Int_OBit0(V_l) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_bin__less__0__simps_I2_J,axiom,
% 163.65/163.59 hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_rel__simps_I20_J,axiom,
% 163.65/163.59 ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),c_Int_OMin)) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_rel__simps_I23_J,axiom,
% 163.65/163.59 hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OMin),c_Int_OPls)) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_rel__simps_I30_J,axiom,
% 163.65/163.59 ! [V_k_2] :
% 163.65/163.59 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OMin))
% 163.65/163.59 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),c_Int_OMin)) ) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_rel__simps_I26_J,axiom,
% 163.65/163.59 ! [V_k_2] :
% 163.65/163.59 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OMin),c_Int_OBit1(V_k_2)))
% 163.65/163.59 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OMin),V_k_2)) ) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_rel__simps_I3_J,axiom,
% 163.65/163.59 ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),c_Int_OMin)) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_rel__simps_I6_J,axiom,
% 163.65/163.59 hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),c_Int_OPls)) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_rel__simps_I13_J,axiom,
% 163.65/163.59 ! [V_k_2] :
% 163.65/163.59 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OMin))
% 163.65/163.59 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Int_OMin)) ) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_rel__simps_I9_J,axiom,
% 163.65/163.59 ! [V_k_2] :
% 163.65/163.59 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),c_Int_OBit1(V_k_2)))
% 163.65/163.59 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),V_k_2)) ) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_rel__simps_I28_J,axiom,
% 163.65/163.59 ! [V_k_2] :
% 163.65/163.59 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OMin))
% 163.65/163.59 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),c_Int_OMin)) ) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_rel__simps_I8_J,axiom,
% 163.65/163.59 ! [V_k_2] :
% 163.65/163.59 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),c_Int_OBit0(V_k_2)))
% 163.65/163.59 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),V_k_2)) ) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_eq__number__of__Pls__Min,axiom,
% 163.65/163.59 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) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_Int_OMin__def,axiom,
% 163.65/163.59 c_Int_OMin = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_mult__Min,axiom,
% 163.65/163.59 ! [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) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_neg__number__of__Min,axiom,
% 163.65/163.59 hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin))) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_pred__Pls,axiom,
% 163.65/163.59 c_Int_Opred(c_Int_OPls) = c_Int_OMin ).
% 163.65/163.59
% 163.65/163.59 fof(fact_add__Min__right,axiom,
% 163.65/163.59 ! [V_k] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_k),c_Int_OMin) = c_Int_Opred(V_k) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_add__Min,axiom,
% 163.65/163.59 ! [V_k] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Int_OMin),V_k) = c_Int_Opred(V_k) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_pred__Min,axiom,
% 163.65/163.59 c_Int_Opred(c_Int_OMin) = c_Int_OBit0(c_Int_OMin) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_succ__Min,axiom,
% 163.65/163.59 c_Int_Osucc(c_Int_OMin) = c_Int_OPls ).
% 163.65/163.59
% 163.65/163.59 fof(fact_diff__bin__simps_I2_J,axiom,
% 163.65/163.59 ! [V_k] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_k),c_Int_OMin) = c_Int_Osucc(V_k) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_mult__minus1__right,axiom,
% 163.65/163.59 ! [V_z,T_a] :
% 163.65/163.59 ( class_Int_Onumber__ring(T_a)
% 163.65/163.59 => 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) ) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_mult__minus1,axiom,
% 163.65/163.59 ! [V_z,T_a] :
% 163.65/163.59 ( class_Int_Onumber__ring(T_a)
% 163.65/163.59 => 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) ) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_arith__simps_I31_J,axiom,
% 163.65/163.59 ! [T_a] :
% 163.65/163.59 ( class_Int_Onumber__ring(T_a)
% 163.65/163.59 => 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) ) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_number__of__Min,axiom,
% 163.65/163.59 ! [T_a] :
% 163.65/163.59 ( class_Int_Onumber__ring(T_a)
% 163.65/163.59 => 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)) ) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_rel__simps_I25_J,axiom,
% 163.65/163.59 ! [V_k_2] :
% 163.65/163.59 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OMin),c_Int_OBit0(V_k_2)))
% 163.65/163.59 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),V_k_2)) ) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_rel__simps_I11_J,axiom,
% 163.65/163.59 ! [V_k_2] :
% 163.65/163.59 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OMin))
% 163.65/163.59 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),c_Int_OMin)) ) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_zmod__minus1__right,axiom,
% 163.65/163.59 ! [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) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_diff__bin__simps_I4_J,axiom,
% 163.65/163.59 ! [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)) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_minus__Min,axiom,
% 163.65/163.59 hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Int_OMin) = c_Int_OBit1(c_Int_OPls) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_pos__zmult__eq__1__iff__lemma,axiom,
% 163.65/163.59 ! [V_n,V_m] :
% 163.65/163.59 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_m),V_n) = c_Groups_Oone__class_Oone(tc_Int_Oint)
% 163.65/163.59 => ( V_m = c_Groups_Oone__class_Oone(tc_Int_Oint)
% 163.65/163.59 | V_m = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin) ) ) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_zmult__eq__1__iff,axiom,
% 163.65/163.59 ! [V_n_2,V_m_2] :
% 163.65/163.59 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_m_2),V_n_2) = c_Groups_Oone__class_Oone(tc_Int_Oint)
% 163.65/163.59 <=> ( ( V_m_2 = c_Groups_Oone__class_Oone(tc_Int_Oint)
% 163.65/163.59 & V_n_2 = c_Groups_Oone__class_Oone(tc_Int_Oint) )
% 163.65/163.59 | ( V_m_2 = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin)
% 163.65/163.59 & V_n_2 = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin) ) ) ) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_diff__bin__simps_I6_J,axiom,
% 163.65/163.59 ! [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)) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_diff__bin__simps_I5_J,axiom,
% 163.65/163.59 ! [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)) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_of__int__m1,axiom,
% 163.65/163.59 ! [T_a] :
% 163.65/163.59 ( class_Int_Onumber__ring(T_a)
% 163.65/163.59 => 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) ) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_zdiv__minus1__right,axiom,
% 163.65/163.59 ! [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) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_div__eq__minus1,axiom,
% 163.65/163.59 ! [V_b] :
% 163.65/163.59 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 163.65/163.59 => 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) ) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_negDivAlg__minus1,axiom,
% 163.65/163.59 ! [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))) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_div__pos__neg__trivial,axiom,
% 163.65/163.59 ! [V_b,V_a] :
% 163.65/163.59 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 163.65/163.59 => ( 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)))
% 163.65/163.59 => 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) ) ) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_zmod__minus1,axiom,
% 163.65/163.59 ! [V_b] :
% 163.65/163.59 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 163.65/163.59 => 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)) ) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_power__m1__even,axiom,
% 163.65/163.59 ! [V_n,T_a] :
% 163.65/163.59 ( class_Int_Onumber__ring(T_a)
% 163.65/163.59 => 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) ) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_power__m1__odd,axiom,
% 163.65/163.59 ! [V_n,T_a] :
% 163.65/163.59 ( class_Int_Onumber__ring(T_a)
% 163.65/163.59 => 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) ) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_negDivAlg_Osimps,axiom,
% 163.65/163.59 ! [V_b,V_a] :
% 163.65/163.59 ( ( ( 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)))
% 163.65/163.59 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )
% 163.65/163.59 => 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)) )
% 163.65/163.59 & ( ~ ( 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)))
% 163.65/163.59 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )
% 163.65/163.59 => 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))) ) ) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_negDivAlg__eqn,axiom,
% 163.65/163.59 ! [V_a,V_b] :
% 163.65/163.59 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 163.65/163.59 => ( ( 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)))
% 163.65/163.59 => 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)) )
% 163.65/163.59 & ( ~ 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)))
% 163.65/163.59 => 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))) ) ) ) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_negDivAlg_Opsimps,axiom,
% 163.65/163.59 ! [V_b_2,V_a_2] :
% 163.65/163.59 ( 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)))
% 163.65/163.59 => ( ( ( 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)))
% 163.65/163.59 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )
% 163.65/163.59 => 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)) )
% 163.65/163.59 & ( ~ ( 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)))
% 163.65/163.59 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )
% 163.65/163.59 => 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))) ) ) ) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_posDivAlg_Opinduct,axiom,
% 163.65/163.59 ! [V_P_2,V_a1_2,V_a0_2] :
% 163.65/163.59 ( 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)))
% 163.65/163.59 => ( ! [B_a,B_b] :
% 163.65/163.59 ( 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)))
% 163.65/163.59 => ( ( ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_a),B_b))
% 163.65/163.59 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )
% 163.65/163.59 => 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))) )
% 163.65/163.59 => hBOOL(hAPP(hAPP(V_P_2,B_a),B_b)) ) )
% 163.65/163.59 => hBOOL(hAPP(hAPP(V_P_2,V_a0_2),V_a1_2)) ) ) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_eq__special_I2_J,axiom,
% 163.65/163.59 ! [V_y_2,T_b] :
% 163.65/163.59 ( class_Int_Onumber__ring(T_b)
% 163.65/163.59 => ( c_Groups_Oone__class_Oone(T_b) = hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_y_2)
% 163.65/163.59 <=> 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)))) ) ) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_iszero__def,axiom,
% 163.65/163.59 ! [V_z_2,T_b] :
% 163.65/163.59 ( class_Rings_Osemiring__1(T_b)
% 163.65/163.59 => ( c_Int_Oiszero(T_b,V_z_2)
% 163.65/163.59 <=> V_z_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_iszero__0,axiom,
% 163.65/163.59 ! [T_a] :
% 163.65/163.59 ( class_Rings_Osemiring__1(T_a)
% 163.65/163.59 => c_Int_Oiszero(T_a,c_Groups_Ozero__class_Ozero(T_a)) ) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_not__iszero__1,axiom,
% 163.65/163.59 ! [T_a] :
% 163.65/163.59 ( class_Rings_Osemiring__1(T_a)
% 163.65/163.59 => ~ c_Int_Oiszero(T_a,c_Groups_Oone__class_Oone(T_a)) ) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_iszero__Numeral0,axiom,
% 163.65/163.59 ! [T_a] :
% 163.65/163.59 ( class_Int_Onumber__ring(T_a)
% 163.65/163.59 => c_Int_Oiszero(T_a,hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OPls)) ) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_iszero__number__of__Bit1,axiom,
% 163.65/163.59 ! [V_w,T_a] :
% 163.65/163.59 ( ( class_Int_Onumber__ring(T_a)
% 163.65/163.59 & class_Int_Oring__char__0(T_a) )
% 163.65/163.59 => ~ c_Int_Oiszero(T_a,hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OBit1(V_w))) ) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_iszero__number__of__Bit0,axiom,
% 163.65/163.59 ! [V_w_2,T_b] :
% 163.65/163.59 ( ( class_Int_Onumber__ring(T_b)
% 163.65/163.59 & class_Int_Oring__char__0(T_b) )
% 163.65/163.59 => ( c_Int_Oiszero(T_b,hAPP(c_Int_Onumber__class_Onumber__of(T_b),c_Int_OBit0(V_w_2)))
% 163.65/163.59 <=> c_Int_Oiszero(T_b,hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)) ) ) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_nonzero__number__of__Min,axiom,
% 163.65/163.59 ! [T_a] :
% 163.65/163.59 ( class_Int_Onumber__ring(T_a)
% 163.65/163.59 => ~ c_Int_Oiszero(T_a,hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OMin)) ) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_not__iszero__Numeral1,axiom,
% 163.65/163.59 ! [T_a] :
% 163.65/163.59 ( class_Int_Onumber__ring(T_a)
% 163.65/163.59 => ~ c_Int_Oiszero(T_a,hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OBit1(c_Int_OPls))) ) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_eq__number__of__eq,axiom,
% 163.65/163.59 ! [V_y_2,V_x_2,T_b] :
% 163.65/163.59 ( class_Int_Onumber__ring(T_b)
% 163.65/163.59 => ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_x_2) = hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_y_2)
% 163.65/163.59 <=> 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)))) ) ) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_eq__special_I1_J,axiom,
% 163.65/163.59 ! [V_y_2,T_b] :
% 163.65/163.59 ( class_Int_Onumber__ring(T_b)
% 163.65/163.59 => ( c_Groups_Ozero__class_Ozero(T_b) = hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_y_2)
% 163.65/163.59 <=> 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)))) ) ) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_eq__special_I3_J,axiom,
% 163.65/163.59 ! [V_x_2,T_b] :
% 163.65/163.59 ( class_Int_Onumber__ring(T_b)
% 163.65/163.59 => ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_x_2) = c_Groups_Ozero__class_Ozero(T_b)
% 163.65/163.59 <=> 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)))) ) ) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_eq__special_I4_J,axiom,
% 163.65/163.59 ! [V_x_2,T_b] :
% 163.65/163.59 ( class_Int_Onumber__ring(T_b)
% 163.65/163.59 => ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_x_2) = c_Groups_Oone__class_Oone(T_b)
% 163.65/163.59 <=> 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))))) ) ) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_negDivAlg_Opinduct,axiom,
% 163.65/163.59 ! [V_P_2,V_a1_2,V_a0_2] :
% 163.65/163.59 ( 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)))
% 163.65/163.59 => ( ! [B_a,B_b] :
% 163.65/163.59 ( 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)))
% 163.65/163.59 => ( ( ~ ( 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)))
% 163.65/163.59 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )
% 163.65/163.59 => 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))) )
% 163.65/163.59 => hBOOL(hAPP(hAPP(V_P_2,B_a),B_b)) ) )
% 163.65/163.59 => hBOOL(hAPP(hAPP(V_P_2,V_a0_2),V_a1_2)) ) ) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_int__of__code,axiom,
% 163.65/163.59 ! [V_k] :
% 163.65/163.59 ( ( V_k = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 163.65/163.59 => hAPP(c_Code__Numeral_Oint__of,V_k) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) )
% 163.65/163.59 & ( V_k != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 163.65/163.59 => ( ( 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)
% 163.65/163.59 => 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)))))) )
% 163.65/163.59 & ( 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)
% 163.65/163.59 => 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)) ) ) ) ) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_Nats__number__of,axiom,
% 163.65/163.59 ! [V_w_2,T_b] :
% 163.65/163.59 ( class_Int_Onumber__ring(T_b)
% 163.65/163.59 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),V_w_2))
% 163.65/163.59 => 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))) ) ) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_code__numeral__zero__minus__one,axiom,
% 163.65/163.59 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) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_zero__code__numeral__code,axiom,
% 163.65/163.59 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) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_Nats__0,axiom,
% 163.65/163.59 ! [T_b] :
% 163.65/163.59 ( class_Rings_Osemiring__1(T_b)
% 163.65/163.59 => hBOOL(hAPP(hAPP(c_member(T_b),c_Groups_Ozero__class_Ozero(T_b)),c_Nat_Osemiring__1__class_ONats(T_b))) ) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_Nats__add,axiom,
% 163.65/163.59 ! [V_b_2,V_a_2,T_b] :
% 163.65/163.59 ( class_Rings_Osemiring__1(T_b)
% 163.65/163.59 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Nat_Osemiring__1__class_ONats(T_b)))
% 163.65/163.59 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),c_Nat_Osemiring__1__class_ONats(T_b)))
% 163.65/163.59 => 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))) ) ) ) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_Nats__mult,axiom,
% 163.65/163.59 ! [V_b_2,V_a_2,T_b] :
% 163.65/163.59 ( class_Rings_Osemiring__1(T_b)
% 163.65/163.59 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Nat_Osemiring__1__class_ONats(T_b)))
% 163.65/163.59 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),c_Nat_Osemiring__1__class_ONats(T_b)))
% 163.65/163.59 => 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))) ) ) ) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_Nats__1,axiom,
% 163.65/163.59 ! [T_b] :
% 163.65/163.59 ( class_Rings_Osemiring__1(T_b)
% 163.65/163.59 => hBOOL(hAPP(hAPP(c_member(T_b),c_Groups_Oone__class_Oone(T_b)),c_Nat_Osemiring__1__class_ONats(T_b))) ) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_of__nat__in__Nats,axiom,
% 163.65/163.59 ! [V_n_2,T_b] :
% 163.65/163.59 ( class_Rings_Osemiring__1(T_b)
% 163.65/163.59 => 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))) ) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_one__code__numeral__code,axiom,
% 163.65/163.59 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)) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_div__mod__code__numeral__def,axiom,
% 163.65/163.59 ! [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)) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_code__numeral_Osize_I1_J,axiom,
% 163.65/163.59 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) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_setprod__gen__delta,axiom,
% 163.65/163.59 ! [V_c_2,V_b_2,V_a_2,V_S_2,T_b,T_c] :
% 163.65/163.59 ( class_Groups_Ocomm__monoid__mult(T_c)
% 163.65/163.59 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 163.65/163.59 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2))
% 163.65/163.59 => 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)))) )
% 163.65/163.59 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2))
% 163.65/163.59 => 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)) ) ) ) ) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_transfer__nat__int__sum__prod_I2_J,axiom,
% 163.65/163.59 ! [V_A_2,V_f_2,T_b] :
% 163.65/163.59 ( ( class_Groups_Ocomm__monoid__add(T_b)
% 163.65/163.59 & class_Groups_Ocomm__monoid__mult(T_b) )
% 163.65/163.59 => 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)) ) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_of__int__setprod,axiom,
% 163.65/163.59 ! [V_A_2,V_f_2,T_c,T_b] :
% 163.65/163.59 ( ( class_Groups_Ocomm__monoid__mult(T_b)
% 163.65/163.59 & class_Rings_Oring__1(T_b) )
% 163.65/163.59 => 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) ) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_setprod__timesf,axiom,
% 163.65/163.59 ! [V_A_2,V_g_2,V_f_2,T_c,T_b] :
% 163.65/163.59 ( class_Groups_Ocomm__monoid__mult(T_b)
% 163.65/163.59 => 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)) ) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_of__nat__setprod,axiom,
% 163.65/163.59 ! [V_A_2,V_f_2,T_c,T_b] :
% 163.65/163.59 ( ( class_Groups_Ocomm__monoid__mult(T_b)
% 163.65/163.59 & class_Rings_Osemiring__1(T_b) )
% 163.65/163.59 => 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) ) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_int__setprod,axiom,
% 163.65/163.59 ! [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) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_transfer__nat__int__sum__prod2_I2_J,axiom,
% 163.65/163.59 ! [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)) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_setprod__1,axiom,
% 163.65/163.59 ! [V_A_2,T_c,T_b] :
% 163.65/163.59 ( class_Groups_Ocomm__monoid__mult(T_b)
% 163.65/163.59 => 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) ) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_setprod__cartesian__product,axiom,
% 163.65/163.59 ! [V_A_2,V_B_2,V_f_2,T_d,T_c,T_b] :
% 163.65/163.59 ( class_Groups_Ocomm__monoid__mult(T_b)
% 163.65/163.59 => 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))) ) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_setprod__zero__iff,axiom,
% 163.65/163.59 ! [V_f_2,V_A_2,T_b,T_c] :
% 163.65/163.59 ( ( class_Rings_Ocomm__semiring__1(T_c)
% 163.65/163.59 & class_Rings_Ono__zero__divisors(T_c) )
% 163.65/163.59 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.65/163.59 => ( 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)
% 163.65/163.59 <=> ? [B_x] :
% 163.65/163.59 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 163.65/163.59 & hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(T_c) ) ) ) ) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_setprod__zero,axiom,
% 163.65/163.59 ! [V_f_2,V_A_2,T_b,T_c] :
% 163.65/163.59 ( class_Rings_Ocomm__semiring__1(T_c)
% 163.65/163.59 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.65/163.59 => ( ? [B_x] :
% 163.65/163.59 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 163.65/163.59 & hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(T_c) )
% 163.65/163.59 => 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) ) ) ) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_setprod__empty,axiom,
% 163.65/163.59 ! [V_f_2,T_c,T_b] :
% 163.65/163.59 ( class_Groups_Ocomm__monoid__mult(T_b)
% 163.65/163.59 => 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) ) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_setprod_Oempty,axiom,
% 163.65/163.59 ! [V_g_2,T_c,T_b] :
% 163.65/163.59 ( class_Groups_Ocomm__monoid__mult(T_b)
% 163.65/163.59 => 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) ) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_setprod_Oinfinite,axiom,
% 163.65/163.59 ! [V_g_2,V_A_2,T_b,T_c] :
% 163.65/163.59 ( class_Groups_Ocomm__monoid__mult(T_c)
% 163.65/163.59 => ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.65/163.59 => 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) ) ) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_setprod__infinite,axiom,
% 163.65/163.59 ! [V_f_2,V_A_2,T_b,T_c] :
% 163.65/163.59 ( class_Groups_Ocomm__monoid__mult(T_c)
% 163.65/163.59 => ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.65/163.59 => 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) ) ) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_setprod__eq__1__iff,axiom,
% 163.65/163.59 ! [V_f_2,V_F_2,T_b] :
% 163.65/163.59 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2))
% 163.65/163.59 => ( 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)
% 163.65/163.59 <=> ! [B_x] :
% 163.65/163.59 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_F_2))
% 163.65/163.59 => hAPP(V_f_2,B_x) = c_Groups_Oone__class_Oone(tc_Nat_Onat) ) ) ) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_transfer__int__nat__sum__prod_I2_J,axiom,
% 163.65/163.59 ! [V_f_2,V_A_2,T_b] :
% 163.65/163.59 ( ( class_Groups_Ocomm__monoid__add(T_b)
% 163.65/163.59 & class_Groups_Ocomm__monoid__mult(T_b) )
% 163.65/163.59 => ( c_Nat__Transfer_Onat__set(V_A_2)
% 163.65/163.59 => 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)) ) ) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_setprod_Odistrib,axiom,
% 163.65/163.59 ! [V_h_2,V_g_2,V_A_2,T_b,T_c] :
% 163.65/163.59 ( class_Groups_Ocomm__monoid__mult(T_c)
% 163.65/163.59 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.65/163.59 => 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)) ) ) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_setprod__pos__nat__iff,axiom,
% 163.65/163.59 ! [V_f_2,V_S_2,T_b] :
% 163.65/163.59 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 163.65/163.59 => ( 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)))
% 163.65/163.59 <=> ! [B_x] :
% 163.65/163.59 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_S_2))
% 163.65/163.59 => 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))) ) ) ) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_setprod__delta,axiom,
% 163.65/163.59 ! [V_b_2,V_a_2,V_S_2,T_b,T_c] :
% 163.65/163.59 ( class_Groups_Ocomm__monoid__mult(T_c)
% 163.65/163.59 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 163.65/163.59 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2))
% 163.65/163.59 => 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) )
% 163.65/163.59 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2))
% 163.65/163.59 => 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) ) ) ) ) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_setprod__delta_H,axiom,
% 163.65/163.59 ! [V_b_2,V_a_2,V_S_2,T_b,T_c] :
% 163.65/163.59 ( class_Groups_Ocomm__monoid__mult(T_c)
% 163.65/163.59 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 163.65/163.59 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2))
% 163.65/163.59 => 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) )
% 163.65/163.59 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2))
% 163.65/163.59 => 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) ) ) ) ) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_setprod__constant,axiom,
% 163.65/163.59 ! [V_y_2,V_A_2,T_b,T_c] :
% 163.65/163.59 ( class_Groups_Ocomm__monoid__mult(T_c)
% 163.65/163.59 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.65/163.59 => 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)) ) ) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_setprod__insert,axiom,
% 163.65/163.59 ! [V_f_2,V_a_2,V_A_2,T_b,T_c] :
% 163.65/163.59 ( class_Groups_Ocomm__monoid__mult(T_c)
% 163.65/163.59 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.65/163.59 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 163.65/163.59 => 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)) ) ) ) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_setprod_Oinsert,axiom,
% 163.65/163.59 ! [V_g_2,V_x_2,V_A_2,T_b,T_c] :
% 163.65/163.59 ( class_Groups_Ocomm__monoid__mult(T_c)
% 163.65/163.59 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.65/163.59 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 163.65/163.59 => 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)) ) ) ) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_setprod_Ounion__inter,axiom,
% 163.65/163.59 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] :
% 163.65/163.59 ( class_Groups_Ocomm__monoid__mult(T_c)
% 163.65/163.59 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.65/163.59 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 163.65/163.59 => 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)) ) ) ) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_setprod__Un__Int,axiom,
% 163.65/163.59 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] :
% 163.65/163.59 ( class_Groups_Ocomm__monoid__mult(T_c)
% 163.65/163.59 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.65/163.59 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 163.65/163.59 => 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)) ) ) ) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_setprod_Oeq__fold,axiom,
% 163.65/163.59 ! [V_g_2,V_A_2,T_b,T_c] :
% 163.65/163.59 ( class_Groups_Ocomm__monoid__mult(T_c)
% 163.65/163.59 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.65/163.59 => 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) ) ) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_setprod_OF__eq,axiom,
% 163.65/163.59 ! [V_g_2,V_A_2,T_b,T_c] :
% 163.65/163.59 ( class_Groups_Ocomm__monoid__mult(T_c)
% 163.65/163.59 => ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.65/163.59 => 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) )
% 163.65/163.59 & ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.65/163.59 => 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) ) ) ) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_setprod_Oinsert__remove,axiom,
% 163.65/163.59 ! [V_x_2,V_g_2,V_A_2,T_b,T_c] :
% 163.65/163.59 ( class_Groups_Ocomm__monoid__mult(T_c)
% 163.65/163.59 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.65/163.59 => 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)))))) ) ) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_setprod__Un__disjoint,axiom,
% 163.65/163.59 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] :
% 163.65/163.59 ( class_Groups_Ocomm__monoid__mult(T_c)
% 163.65/163.59 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.65/163.59 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 163.65/163.59 => ( 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))
% 163.65/163.59 => 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)) ) ) ) ) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_setprod_Ounion__disjoint,axiom,
% 163.65/163.59 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] :
% 163.65/163.59 ( class_Groups_Ocomm__monoid__mult(T_c)
% 163.65/163.59 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.65/163.59 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 163.65/163.59 => ( 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))
% 163.65/163.59 => 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)) ) ) ) ) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_setprod_Oremove,axiom,
% 163.65/163.59 ! [V_g_2,V_x_2,V_A_2,T_b,T_c] :
% 163.65/163.59 ( class_Groups_Ocomm__monoid__mult(T_c)
% 163.65/163.59 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.65/163.59 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 163.65/163.59 => 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)))))) ) ) ) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_nat__of__aux__code,axiom,
% 163.65/163.59 ! [V_n,V_i] :
% 163.65/163.59 ( ( V_i = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 163.65/163.59 => c_Code__Numeral_Onat__of__aux(V_i,V_n) = V_n )
% 163.65/163.59 & ( V_i != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 163.65/163.59 => 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)) ) ) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_code__numeral_Osize_I2_J,axiom,
% 163.65/163.59 ! [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))) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_setprod_Ounion__inter__neutral,axiom,
% 163.65/163.59 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] :
% 163.65/163.59 ( class_Groups_Ocomm__monoid__mult(T_c)
% 163.65/163.59 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.65/163.59 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 163.65/163.59 => ( ! [B_x] :
% 163.65/163.59 ( 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)))
% 163.65/163.59 => hAPP(V_g_2,B_x) = c_Groups_Oone__class_Oone(T_c) )
% 163.65/163.59 => 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)) ) ) ) ) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_code__numeral_Oinject,axiom,
% 163.65/163.59 ! [V_code__numeral_H_2,V_code__numeral_2] :
% 163.65/163.59 ( c_Code__Numeral_OSuc__code__numeral(V_code__numeral_2) = c_Code__Numeral_OSuc__code__numeral(V_code__numeral_H_2)
% 163.65/163.59 <=> V_code__numeral_2 = V_code__numeral_H_2 ) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_code__numeral_Osimps_I2_J,axiom,
% 163.65/163.59 ! [V_code__numeral_H] : c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) != c_Code__Numeral_OSuc__code__numeral(V_code__numeral_H) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_code__numeral_Osimps_I3_J,axiom,
% 163.65/163.59 ! [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) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_Suc__code__numeral__minus__one,axiom,
% 163.65/163.59 ! [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 ).
% 163.65/163.59
% 163.65/163.59 fof(fact_code__numeral_Osize_I4_J,axiom,
% 163.65/163.59 ! [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))) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_transfer__int__nat__sum__prod2_I2_J,axiom,
% 163.65/163.59 ! [V_f_2,V_A_2,T_b] :
% 163.65/163.59 ( ! [B_x] :
% 163.65/163.59 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 163.65/163.59 => c_Nat__Transfer_Ois__nat(hAPP(V_f_2,B_x)) )
% 163.65/163.59 => 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)) ) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_setprod__Sigma,axiom,
% 163.65/163.59 ! [V_f_2,V_B_2,T_c,V_A_2,T_b,T_d] :
% 163.65/163.59 ( class_Groups_Ocomm__monoid__mult(T_d)
% 163.65/163.59 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.65/163.59 => ( ! [B_x] :
% 163.65/163.59 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 163.65/163.59 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(V_B_2,B_x))) )
% 163.65/163.59 => 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)) ) ) ) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_code__numeral_Osize_I3_J,axiom,
% 163.65/163.59 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) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_setprod__Un__one,axiom,
% 163.65/163.59 ! [V_f_2,V_T_2,V_S_2,T_b,T_c] :
% 163.65/163.59 ( class_Groups_Ocomm__monoid__mult(T_c)
% 163.65/163.59 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 163.65/163.59 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_T_2))
% 163.65/163.59 => ( ! [B_x] :
% 163.65/163.59 ( 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)))
% 163.65/163.59 => hAPP(V_f_2,B_x) = c_Groups_Oone__class_Oone(T_c) )
% 163.65/163.59 => 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)) ) ) ) ) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_setprod__diff1,axiom,
% 163.65/163.59 ! [V_a_2,V_f_2,V_A_2,T_b,T_c] :
% 163.65/163.59 ( class_Fields_Ofield(T_c)
% 163.65/163.59 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.65/163.59 => ( hAPP(V_f_2,V_a_2) != c_Groups_Ozero__class_Ozero(T_c)
% 163.65/163.59 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 163.65/163.59 => 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)) )
% 163.65/163.59 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 163.65/163.59 => 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) ) ) ) ) ) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_min__max_OSup__fin_Ohom__commute,axiom,
% 163.65/163.59 ! [V_N_2,V_h_2,T_b] :
% 163.65/163.59 ( class_Orderings_Olinorder(T_b)
% 163.65/163.59 => ( ! [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))
% 163.65/163.59 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2))
% 163.65/163.59 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.65/163.59 => 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)) ) ) ) ) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_diff__divide__distrib,axiom,
% 163.65/163.59 ! [V_c,V_b,V_a,T_a] :
% 163.65/163.59 ( class_Rings_Odivision__ring(T_a)
% 163.65/163.59 => 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)) ) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_divide__1,axiom,
% 163.65/163.59 ! [V_a,T_a] :
% 163.65/163.59 ( class_Rings_Odivision__ring(T_a)
% 163.65/163.59 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),c_Groups_Oone__class_Oone(T_a)) = V_a ) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_power__divide,axiom,
% 163.65/163.59 ! [V_n,V_b,V_a,T_a] :
% 163.65/163.59 ( class_Fields_Ofield__inverse__zero(T_a)
% 163.65/163.59 => 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)) ) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_times__divide__eq__right,axiom,
% 163.65/163.59 ! [V_c,V_b,V_a,T_a] :
% 163.65/163.59 ( class_Rings_Odivision__ring(T_a)
% 163.65/163.59 => 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) ) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_add__divide__distrib,axiom,
% 163.65/163.59 ! [V_c,V_b,V_a,T_a] :
% 163.65/163.59 ( class_Rings_Odivision__ring(T_a)
% 163.65/163.59 => 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)) ) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_minus__divide__left,axiom,
% 163.65/163.59 ! [V_b,V_a,T_a] :
% 163.65/163.59 ( class_Rings_Odivision__ring(T_a)
% 163.65/163.59 => 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) ) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_divide__zero,axiom,
% 163.65/163.59 ! [V_a,T_a] :
% 163.65/163.59 ( class_Rings_Odivision__ring__inverse__zero(T_a)
% 163.65/163.59 => 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) ) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_divide__zero__left,axiom,
% 163.65/163.59 ! [V_a,T_a] :
% 163.65/163.59 ( class_Rings_Odivision__ring(T_a)
% 163.65/163.59 => 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) ) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_nonzero__eq__divide__eq,axiom,
% 163.65/163.59 ! [V_b_2,V_a_2,V_c_2,T_b] :
% 163.65/163.59 ( class_Rings_Odivision__ring(T_b)
% 163.65/163.59 => ( V_c_2 != c_Groups_Ozero__class_Ozero(T_b)
% 163.65/163.59 => ( V_a_2 = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_c_2)
% 163.65/163.59 <=> hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_c_2) = V_b_2 ) ) ) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_nonzero__divide__eq__eq,axiom,
% 163.65/163.59 ! [V_a_2,V_b_2,V_c_2,T_b] :
% 163.65/163.59 ( class_Rings_Odivision__ring(T_b)
% 163.65/163.59 => ( V_c_2 != c_Groups_Ozero__class_Ozero(T_b)
% 163.65/163.59 => ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_c_2) = V_a_2
% 163.65/163.59 <=> V_b_2 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_c_2) ) ) ) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_divide__eq__imp,axiom,
% 163.65/163.59 ! [V_a,V_b,V_c,T_a] :
% 163.65/163.59 ( class_Rings_Odivision__ring(T_a)
% 163.65/163.59 => ( V_c != c_Groups_Ozero__class_Ozero(T_a)
% 163.65/163.59 => ( V_b = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c)
% 163.65/163.59 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b),V_c) = V_a ) ) ) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_eq__divide__imp,axiom,
% 163.65/163.59 ! [V_b,V_a,V_c,T_a] :
% 163.65/163.59 ( class_Rings_Odivision__ring(T_a)
% 163.65/163.59 => ( V_c != c_Groups_Ozero__class_Ozero(T_a)
% 163.65/163.59 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c) = V_b
% 163.65/163.59 => V_a = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b),V_c) ) ) ) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_divide__self__if,axiom,
% 163.65/163.59 ! [V_a,T_a] :
% 163.65/163.59 ( class_Rings_Odivision__ring__inverse__zero(T_a)
% 163.65/163.59 => ( ( V_a = c_Groups_Ozero__class_Ozero(T_a)
% 163.65/163.59 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),V_a) = c_Groups_Ozero__class_Ozero(T_a) )
% 163.65/163.59 & ( V_a != c_Groups_Ozero__class_Ozero(T_a)
% 163.65/163.59 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),V_a) = c_Groups_Oone__class_Oone(T_a) ) ) ) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_divide__self,axiom,
% 163.65/163.59 ! [V_a,T_a] :
% 163.65/163.59 ( class_Rings_Odivision__ring(T_a)
% 163.65/163.59 => ( V_a != c_Groups_Ozero__class_Ozero(T_a)
% 163.65/163.59 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),V_a) = c_Groups_Oone__class_Oone(T_a) ) ) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_right__inverse__eq,axiom,
% 163.65/163.59 ! [V_a_2,V_b_2,T_b] :
% 163.65/163.59 ( class_Rings_Odivision__ring(T_b)
% 163.65/163.59 => ( V_b_2 != c_Groups_Ozero__class_Ozero(T_b)
% 163.65/163.59 => ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_a_2),V_b_2) = c_Groups_Oone__class_Oone(T_b)
% 163.65/163.59 <=> V_a_2 = V_b_2 ) ) ) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_nonzero__minus__divide__divide,axiom,
% 163.65/163.59 ! [V_a,V_b,T_a] :
% 163.65/163.59 ( class_Rings_Odivision__ring(T_a)
% 163.65/163.59 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 163.65/163.59 => 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) ) ) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_nonzero__minus__divide__right,axiom,
% 163.65/163.59 ! [V_a,V_b,T_a] :
% 163.65/163.59 ( class_Rings_Odivision__ring(T_a)
% 163.65/163.59 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 163.65/163.59 => 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)) ) ) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_nonzero__power__divide,axiom,
% 163.65/163.59 ! [V_n,V_a,V_b,T_a] :
% 163.65/163.59 ( class_Fields_Ofield(T_a)
% 163.65/163.59 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 163.65/163.59 => 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)) ) ) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_power__one__over,axiom,
% 163.65/163.59 ! [V_n,V_a,T_a] :
% 163.65/163.59 ( class_Fields_Ofield__inverse__zero(T_a)
% 163.65/163.59 => 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) ) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_setprod__dividef,axiom,
% 163.65/163.59 ! [V_g_2,V_f_2,V_A_2,T_b,T_c] :
% 163.65/163.59 ( class_Fields_Ofield__inverse__zero(T_c)
% 163.65/163.59 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.65/163.59 => 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)) ) ) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_divide__eq__eq__number__of1,axiom,
% 163.65/163.59 ! [V_a_2,V_w_2,V_b_2,T_b] :
% 163.65/163.59 ( ( class_Fields_Ofield__inverse__zero(T_b)
% 163.65/163.59 & class_Int_Onumber(T_b) )
% 163.65/163.59 => ( 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
% 163.65/163.59 <=> ( ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2) != c_Groups_Ozero__class_Ozero(T_b)
% 163.65/163.59 => 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)) )
% 163.65/163.59 & ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2) = c_Groups_Ozero__class_Ozero(T_b)
% 163.65/163.59 => V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_divide__eq__eq__number__of,axiom,
% 163.65/163.59 ! [V_w_2,V_c_2,V_b_2,T_b] :
% 163.65/163.59 ( ( class_Fields_Ofield__inverse__zero(T_b)
% 163.65/163.59 & class_Int_Onumber(T_b) )
% 163.65/163.59 => ( 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)
% 163.65/163.59 <=> ( ( V_c_2 != c_Groups_Ozero__class_Ozero(T_b)
% 163.65/163.59 => 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) )
% 163.65/163.59 & ( V_c_2 = c_Groups_Ozero__class_Ozero(T_b)
% 163.65/163.59 => hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2) = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_eq__divide__eq__number__of,axiom,
% 163.65/163.59 ! [V_c_2,V_b_2,V_w_2,T_b] :
% 163.65/163.59 ( ( class_Fields_Ofield__inverse__zero(T_b)
% 163.65/163.59 & class_Int_Onumber(T_b) )
% 163.65/163.59 => ( 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)
% 163.65/163.59 <=> ( ( V_c_2 != c_Groups_Ozero__class_Ozero(T_b)
% 163.65/163.59 => 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 )
% 163.65/163.59 & ( V_c_2 = c_Groups_Ozero__class_Ozero(T_b)
% 163.65/163.59 => hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2) = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_eq__divide__eq__number__of1,axiom,
% 163.65/163.59 ! [V_w_2,V_b_2,V_a_2,T_b] :
% 163.65/163.59 ( ( class_Fields_Ofield__inverse__zero(T_b)
% 163.65/163.59 & class_Int_Onumber(T_b) )
% 163.65/163.59 => ( 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))
% 163.65/163.59 <=> ( ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2) != c_Groups_Ozero__class_Ozero(T_b)
% 163.65/163.59 => 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 )
% 163.65/163.59 & ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2) = c_Groups_Ozero__class_Ozero(T_b)
% 163.65/163.59 => V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_divide__Numeral0,axiom,
% 163.65/163.59 ! [V_x,T_a] :
% 163.65/163.59 ( ( class_Fields_Ofield__inverse__zero(T_a)
% 163.65/163.59 & class_Int_Onumber__ring(T_a) )
% 163.65/163.59 => 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) ) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_divide__Numeral1,axiom,
% 163.65/163.59 ! [V_x,T_a] :
% 163.65/163.59 ( ( class_Fields_Ofield(T_a)
% 163.65/163.59 & class_Int_Onumber__ring(T_a) )
% 163.65/163.59 => 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 ) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_divide__numeral__1,axiom,
% 163.65/163.59 ! [V_a,T_a] :
% 163.65/163.59 ( ( class_Fields_Ofield(T_a)
% 163.65/163.59 & class_Int_Onumber__ring(T_a) )
% 163.65/163.59 => 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 ) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_divide__minus1,axiom,
% 163.65/163.59 ! [V_x,T_a] :
% 163.65/163.59 ( ( class_Fields_Ofield__inverse__zero(T_a)
% 163.65/163.59 & class_Int_Onumber__ring(T_a) )
% 163.65/163.59 => 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) ) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_less__divide__eq__number__of1,axiom,
% 163.65/163.59 ! [V_w_2,V_b_2,V_a_2,T_b] :
% 163.65/163.59 ( ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 163.65/163.59 & class_Int_Onumber(T_b) )
% 163.65/163.59 => ( 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))))
% 163.65/163.59 <=> ( ( 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)))
% 163.65/163.59 => 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)) )
% 163.65/163.59 & ( ~ 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)))
% 163.65/163.59 => ( ( 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)))
% 163.65/163.59 => 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)))) )
% 163.65/163.59 & ( ~ 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)))
% 163.65/163.59 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ) ) ) ) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_less__divide__eq__number__of,axiom,
% 163.65/163.59 ! [V_c_2,V_b_2,V_w_2,T_b] :
% 163.65/163.59 ( ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 163.65/163.59 & class_Int_Onumber(T_b) )
% 163.65/163.59 => ( 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)))
% 163.65/163.59 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 163.65/163.59 => 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)) )
% 163.65/163.59 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 163.65/163.59 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 163.65/163.59 => 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))) )
% 163.65/163.59 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 163.65/163.59 => 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))) ) ) ) ) ) ) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_divide__less__eq__number__of,axiom,
% 163.65/163.59 ! [V_w_2,V_c_2,V_b_2,T_b] :
% 163.65/163.59 ( ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 163.65/163.59 & class_Int_Onumber(T_b) )
% 163.65/163.59 => ( 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)))
% 163.65/163.59 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 163.65/163.59 => 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))) )
% 163.65/163.59 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 163.65/163.59 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 163.65/163.59 => 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)) )
% 163.65/163.59 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 163.65/163.59 => 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))) ) ) ) ) ) ) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_divide__less__eq__number__of1,axiom,
% 163.65/163.59 ! [V_a_2,V_w_2,V_b_2,T_b] :
% 163.65/163.59 ( ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 163.65/163.59 & class_Int_Onumber(T_b) )
% 163.65/163.59 => ( 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))
% 163.65/163.59 <=> ( ( 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)))
% 163.65/163.59 => 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)))) )
% 163.65/163.59 & ( ~ 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)))
% 163.65/163.59 => ( ( 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)))
% 163.65/163.59 => 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)) )
% 163.65/163.59 & ( ~ 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)))
% 163.65/163.59 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ) ) ) ) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_power__diff,axiom,
% 163.65/163.59 ! [V_m,V_n,V_a,T_a] :
% 163.65/163.59 ( class_Fields_Ofield(T_a)
% 163.65/163.59 => ( V_a != c_Groups_Ozero__class_Ozero(T_a)
% 163.65/163.59 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m))
% 163.65/163.59 => 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)) ) ) ) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_minus1__divide,axiom,
% 163.65/163.59 ! [V_x,T_a] :
% 163.65/163.59 ( ( class_Fields_Ofield__inverse__zero(T_a)
% 163.65/163.59 & class_Int_Onumber__ring(T_a) )
% 163.65/163.59 => 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)) ) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_divide__le__eq__number__of1,axiom,
% 163.65/163.59 ! [V_a_2,V_w_2,V_b_2,T_b] :
% 163.65/163.59 ( ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 163.65/163.59 & class_Int_Onumber(T_b) )
% 163.65/163.59 => ( 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))
% 163.65/163.59 <=> ( ( 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)))
% 163.65/163.59 => 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)))) )
% 163.65/163.59 & ( ~ 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)))
% 163.65/163.59 => ( ( 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)))
% 163.65/163.59 => 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)) )
% 163.65/163.59 & ( ~ 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)))
% 163.65/163.59 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ) ) ) ) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_divide__le__eq__number__of,axiom,
% 163.65/163.59 ! [V_w_2,V_c_2,V_b_2,T_b] :
% 163.65/163.59 ( ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 163.65/163.59 & class_Int_Onumber(T_b) )
% 163.65/163.59 => ( 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)))
% 163.65/163.59 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 163.65/163.59 => 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))) )
% 163.65/163.59 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 163.65/163.59 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 163.65/163.59 => 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)) )
% 163.65/163.59 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 163.65/163.59 => 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))) ) ) ) ) ) ) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_le__divide__eq__number__of,axiom,
% 163.65/163.59 ! [V_c_2,V_b_2,V_w_2,T_b] :
% 163.65/163.59 ( ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 163.65/163.59 & class_Int_Onumber(T_b) )
% 163.65/163.59 => ( 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)))
% 163.65/163.59 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 163.65/163.59 => 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)) )
% 163.65/163.59 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 163.65/163.59 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 163.65/163.59 => 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))) )
% 163.65/163.59 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 163.65/163.59 => 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))) ) ) ) ) ) ) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_le__divide__eq__number__of1,axiom,
% 163.65/163.59 ! [V_w_2,V_b_2,V_a_2,T_b] :
% 163.65/163.59 ( ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 163.65/163.59 & class_Int_Onumber(T_b) )
% 163.65/163.59 => ( 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))))
% 163.65/163.59 <=> ( ( 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)))
% 163.65/163.59 => 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)) )
% 163.65/163.59 & ( ~ 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)))
% 163.65/163.59 => ( ( 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)))
% 163.65/163.59 => 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)))) )
% 163.65/163.59 & ( ~ 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)))
% 163.65/163.59 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ) ) ) ) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_half__gt__zero__iff,axiom,
% 163.65/163.59 ! [V_r_2,T_b] :
% 163.65/163.59 ( ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 163.65/163.59 & class_Int_Onumber__ring(T_b) )
% 163.65/163.59 => ( 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))))))
% 163.65/163.59 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_r_2)) ) ) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_half__gt__zero,axiom,
% 163.65/163.59 ! [V_r,T_a] :
% 163.65/163.59 ( ( class_Fields_Olinordered__field__inverse__zero(T_a)
% 163.65/163.59 & class_Int_Onumber__ring(T_a) )
% 163.65/163.59 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_r))
% 163.65/163.59 => 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)))))) ) ) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_le__divide__eq,axiom,
% 163.65/163.59 ! [V_c_2,V_b_2,V_a_2,T_b] :
% 163.65/163.59 ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 163.65/163.59 => ( 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)))
% 163.65/163.59 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 163.65/163.59 => 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)) )
% 163.65/163.59 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 163.65/163.59 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 163.65/163.59 => 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))) )
% 163.65/163.59 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 163.65/163.59 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ) ) ) ) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_divide__le__eq,axiom,
% 163.65/163.59 ! [V_a_2,V_c_2,V_b_2,T_b] :
% 163.65/163.59 ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 163.65/163.59 => ( 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))
% 163.65/163.59 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 163.65/163.59 => 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))) )
% 163.65/163.59 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 163.65/163.59 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 163.65/163.59 => 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)) )
% 163.65/163.59 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 163.65/163.59 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ) ) ) ) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_pos__le__divide__eq,axiom,
% 163.65/163.59 ! [V_b_2,V_a_2,V_c_2,T_b] :
% 163.65/163.59 ( class_Fields_Olinordered__field(T_b)
% 163.65/163.59 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 163.65/163.59 => ( 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)))
% 163.65/163.59 <=> 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)) ) ) ) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_times__divide__times__eq,axiom,
% 163.65/163.59 ! [V_w,V_z,V_y,V_x,T_a] :
% 163.65/163.59 ( class_Fields_Ofield__inverse__zero(T_a)
% 163.65/163.59 => 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)) ) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_minus__divide__right,axiom,
% 163.65/163.59 ! [V_b,V_a,T_a] :
% 163.65/163.59 ( class_Fields_Ofield__inverse__zero(T_a)
% 163.65/163.59 => 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)) ) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_minus__divide__divide,axiom,
% 163.65/163.59 ! [V_b,V_a,T_a] :
% 163.65/163.59 ( class_Fields_Ofield__inverse__zero(T_a)
% 163.65/163.59 => 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) ) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_divide__right__mono__neg,axiom,
% 163.65/163.59 ! [V_c,V_b,V_a,T_a] :
% 163.65/163.59 ( class_Fields_Olinordered__field__inverse__zero(T_a)
% 163.65/163.59 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 163.65/163.59 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a)))
% 163.65/163.59 => 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))) ) ) ) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_divide__right__mono,axiom,
% 163.65/163.59 ! [V_c,V_b,V_a,T_a] :
% 163.65/163.59 ( class_Fields_Olinordered__field__inverse__zero(T_a)
% 163.65/163.59 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 163.65/163.59 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 163.65/163.59 => 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))) ) ) ) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_divide__le__0__iff,axiom,
% 163.65/163.59 ! [V_b_2,V_a_2,T_b] :
% 163.65/163.59 ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 163.65/163.59 => ( 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)))
% 163.65/163.59 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2))
% 163.65/163.59 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),c_Groups_Ozero__class_Ozero(T_b))) )
% 163.65/163.59 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b)))
% 163.65/163.59 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_b_2)) ) ) ) ) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_zero__le__divide__iff,axiom,
% 163.65/163.59 ! [V_b_2,V_a_2,T_b] :
% 163.65/163.59 ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 163.65/163.59 => ( 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)))
% 163.65/163.59 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2))
% 163.65/163.59 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_b_2)) )
% 163.65/163.59 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b)))
% 163.65/163.59 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ) ) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_divide__strict__right__mono__neg,axiom,
% 163.65/163.59 ! [V_c,V_a,V_b,T_a] :
% 163.65/163.59 ( class_Fields_Olinordered__field(T_a)
% 163.65/163.59 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a))
% 163.65/163.59 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a)))
% 163.65/163.59 => 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))) ) ) ) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_divide__strict__right__mono,axiom,
% 163.65/163.59 ! [V_c,V_b,V_a,T_a] :
% 163.65/163.59 ( class_Fields_Olinordered__field(T_a)
% 163.65/163.59 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 163.65/163.59 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 163.65/163.59 => 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))) ) ) ) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_divide__neg__neg,axiom,
% 163.65/163.59 ! [V_y,V_x,T_a] :
% 163.65/163.59 ( class_Fields_Olinordered__field(T_a)
% 163.65/163.59 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),c_Groups_Ozero__class_Ozero(T_a)))
% 163.65/163.59 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),c_Groups_Ozero__class_Ozero(T_a)))
% 163.65/163.59 => 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))) ) ) ) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_divide__neg__pos,axiom,
% 163.65/163.59 ! [V_y,V_x,T_a] :
% 163.65/163.59 ( class_Fields_Olinordered__field(T_a)
% 163.65/163.59 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),c_Groups_Ozero__class_Ozero(T_a)))
% 163.65/163.59 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 163.65/163.59 => 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))) ) ) ) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_divide__pos__neg,axiom,
% 163.65/163.59 ! [V_y,V_x,T_a] :
% 163.65/163.59 ( class_Fields_Olinordered__field(T_a)
% 163.65/163.59 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 163.65/163.59 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),c_Groups_Ozero__class_Ozero(T_a)))
% 163.65/163.59 => 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))) ) ) ) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_divide__pos__pos,axiom,
% 163.65/163.59 ! [V_y,V_x,T_a] :
% 163.65/163.59 ( class_Fields_Olinordered__field(T_a)
% 163.65/163.59 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 163.65/163.59 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 163.65/163.59 => 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))) ) ) ) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_divide__less__0__iff,axiom,
% 163.65/163.59 ! [V_b_2,V_a_2,T_b] :
% 163.65/163.59 ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 163.65/163.59 => ( 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)))
% 163.65/163.59 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2))
% 163.65/163.59 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),c_Groups_Ozero__class_Ozero(T_b))) )
% 163.65/163.59 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b)))
% 163.65/163.59 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_b_2)) ) ) ) ) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_zero__less__divide__iff,axiom,
% 163.65/163.59 ! [V_b_2,V_a_2,T_b] :
% 163.65/163.59 ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 163.65/163.59 => ( 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)))
% 163.65/163.59 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2))
% 163.65/163.59 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_b_2)) )
% 163.65/163.59 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b)))
% 163.65/163.59 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ) ) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_eq__divide__eq,axiom,
% 163.65/163.59 ! [V_c_2,V_b_2,V_a_2,T_b] :
% 163.65/163.59 ( class_Fields_Ofield__inverse__zero(T_b)
% 163.65/163.59 => ( V_a_2 = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_c_2)
% 163.65/163.59 <=> ( ( V_c_2 != c_Groups_Ozero__class_Ozero(T_b)
% 163.65/163.59 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_c_2) = V_b_2 )
% 163.65/163.59 & ( V_c_2 = c_Groups_Ozero__class_Ozero(T_b)
% 163.65/163.59 => V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_divide__eq__eq,axiom,
% 163.65/163.59 ! [V_a_2,V_c_2,V_b_2,T_b] :
% 163.65/163.59 ( class_Fields_Ofield__inverse__zero(T_b)
% 163.65/163.59 => ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_c_2) = V_a_2
% 163.65/163.59 <=> ( ( V_c_2 != c_Groups_Ozero__class_Ozero(T_b)
% 163.65/163.59 => V_b_2 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_c_2) )
% 163.65/163.59 & ( V_c_2 = c_Groups_Ozero__class_Ozero(T_b)
% 163.65/163.59 => V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_mult__divide__mult__cancel__right,axiom,
% 163.65/163.59 ! [V_b,V_a,V_c,T_a] :
% 163.65/163.59 ( class_Fields_Ofield__inverse__zero(T_a)
% 163.65/163.59 => ( V_c != c_Groups_Ozero__class_Ozero(T_a)
% 163.65/163.59 => 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) ) ) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_mult__divide__mult__cancel__left,axiom,
% 163.65/163.59 ! [V_b,V_a,V_c,T_a] :
% 163.65/163.59 ( class_Fields_Ofield__inverse__zero(T_a)
% 163.65/163.59 => ( V_c != c_Groups_Ozero__class_Ozero(T_a)
% 163.65/163.59 => 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) ) ) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_frac__eq__eq,axiom,
% 163.65/163.59 ! [V_w_2,V_x_2,V_z_2,V_y_2,T_b] :
% 163.65/163.59 ( class_Fields_Ofield(T_b)
% 163.65/163.59 => ( V_y_2 != c_Groups_Ozero__class_Ozero(T_b)
% 163.65/163.59 => ( V_z_2 != c_Groups_Ozero__class_Ozero(T_b)
% 163.65/163.59 => ( 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)
% 163.65/163.59 <=> 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) ) ) ) ) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_divide__nonneg__pos,axiom,
% 163.65/163.59 ! [V_y,V_x,T_a] :
% 163.65/163.59 ( class_Fields_Olinordered__field(T_a)
% 163.65/163.59 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 163.65/163.59 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 163.65/163.59 => 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))) ) ) ) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_divide__nonneg__neg,axiom,
% 163.65/163.59 ! [V_y,V_x,T_a] :
% 163.65/163.59 ( class_Fields_Olinordered__field(T_a)
% 163.65/163.59 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 163.65/163.59 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),c_Groups_Ozero__class_Ozero(T_a)))
% 163.65/163.59 => 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))) ) ) ) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_frac__less2,axiom,
% 163.65/163.59 ! [V_z,V_w,V_y,V_x,T_a] :
% 163.65/163.59 ( class_Fields_Olinordered__field(T_a)
% 163.65/163.59 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 163.65/163.59 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 163.65/163.59 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_w))
% 163.65/163.59 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_w),V_z))
% 163.65/163.59 => 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))) ) ) ) ) ) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_frac__less,axiom,
% 163.65/163.59 ! [V_z,V_w,V_y,V_x,T_a] :
% 163.65/163.59 ( class_Fields_Olinordered__field(T_a)
% 163.65/163.59 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 163.65/163.59 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 163.65/163.59 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_w))
% 163.65/163.59 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_w),V_z))
% 163.65/163.59 => 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))) ) ) ) ) ) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_frac__le,axiom,
% 163.65/163.59 ! [V_z,V_w,V_y,V_x,T_a] :
% 163.65/163.59 ( class_Fields_Olinordered__field(T_a)
% 163.65/163.59 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 163.65/163.59 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 163.65/163.59 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_w))
% 163.65/163.59 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_w),V_z))
% 163.65/163.59 => 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))) ) ) ) ) ) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_divide__nonpos__pos,axiom,
% 163.65/163.59 ! [V_y,V_x,T_a] :
% 163.65/163.59 ( class_Fields_Olinordered__field(T_a)
% 163.65/163.59 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),c_Groups_Ozero__class_Ozero(T_a)))
% 163.65/163.59 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 163.65/163.59 => 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))) ) ) ) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_divide__nonpos__neg,axiom,
% 163.65/163.59 ! [V_y,V_x,T_a] :
% 163.65/163.59 ( class_Fields_Olinordered__field(T_a)
% 163.65/163.59 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),c_Groups_Ozero__class_Ozero(T_a)))
% 163.65/163.59 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),c_Groups_Ozero__class_Ozero(T_a)))
% 163.65/163.59 => 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))) ) ) ) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_less__divide__eq,axiom,
% 163.65/163.59 ! [V_c_2,V_b_2,V_a_2,T_b] :
% 163.65/163.59 ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 163.65/163.59 => ( 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)))
% 163.65/163.59 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 163.65/163.59 => 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)) )
% 163.65/163.59 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 163.65/163.59 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 163.65/163.59 => 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))) )
% 163.65/163.59 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 163.65/163.59 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ) ) ) ) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_divide__less__eq,axiom,
% 163.65/163.59 ! [V_a_2,V_c_2,V_b_2,T_b] :
% 163.65/163.59 ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 163.65/163.59 => ( 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))
% 163.65/163.59 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 163.65/163.59 => 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))) )
% 163.65/163.59 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 163.65/163.59 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 163.65/163.59 => 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)) )
% 163.65/163.59 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 163.65/163.59 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ) ) ) ) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_pos__less__divide__eq,axiom,
% 163.65/163.59 ! [V_b_2,V_a_2,V_c_2,T_b] :
% 163.65/163.59 ( class_Fields_Olinordered__field(T_b)
% 163.65/163.59 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 163.65/163.59 => ( 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)))
% 163.65/163.59 <=> 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)) ) ) ) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_pos__divide__less__eq,axiom,
% 163.65/163.59 ! [V_a_2,V_b_2,V_c_2,T_b] :
% 163.65/163.59 ( class_Fields_Olinordered__field(T_b)
% 163.65/163.59 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 163.65/163.59 => ( 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))
% 163.65/163.59 <=> 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))) ) ) ) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_mult__imp__div__pos__less,axiom,
% 163.65/163.59 ! [V_z,V_x,V_y,T_a] :
% 163.65/163.59 ( class_Fields_Olinordered__field(T_a)
% 163.65/163.59 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 163.65/163.59 => ( 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)))
% 163.65/163.59 => 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)) ) ) ) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_mult__imp__less__div__pos,axiom,
% 163.65/163.59 ! [V_x,V_z,V_y,T_a] :
% 163.65/163.59 ( class_Fields_Olinordered__field(T_a)
% 163.65/163.59 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 163.65/163.59 => ( 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))
% 163.65/163.59 => 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))) ) ) ) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_neg__less__divide__eq,axiom,
% 163.65/163.59 ! [V_b_2,V_a_2,V_c_2,T_b] :
% 163.65/163.59 ( class_Fields_Olinordered__field(T_b)
% 163.65/163.59 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 163.65/163.59 => ( 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)))
% 163.65/163.59 <=> 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))) ) ) ) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_neg__divide__less__eq,axiom,
% 163.65/163.59 ! [V_a_2,V_b_2,V_c_2,T_b] :
% 163.65/163.59 ( class_Fields_Olinordered__field(T_b)
% 163.65/163.59 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 163.65/163.59 => ( 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))
% 163.65/163.59 <=> 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)) ) ) ) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_divide__strict__left__mono,axiom,
% 163.65/163.59 ! [V_c,V_a,V_b,T_a] :
% 163.65/163.59 ( class_Fields_Olinordered__field(T_a)
% 163.65/163.59 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a))
% 163.65/163.59 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 163.65/163.59 => ( 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)))
% 163.65/163.59 => 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))) ) ) ) ) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_divide__strict__left__mono__neg,axiom,
% 163.65/163.59 ! [V_c,V_b,V_a,T_a] :
% 163.65/163.59 ( class_Fields_Olinordered__field(T_a)
% 163.65/163.59 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 163.65/163.59 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a)))
% 163.65/163.59 => ( 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)))
% 163.65/163.59 => 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))) ) ) ) ) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_add__num__frac,axiom,
% 163.65/163.59 ! [V_x,V_z,V_y,T_a] :
% 163.65/163.59 ( class_Fields_Ofield__inverse__zero(T_a)
% 163.65/163.59 => ( V_y != c_Groups_Ozero__class_Ozero(T_a)
% 163.65/163.59 => 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) ) ) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_add__divide__eq__iff,axiom,
% 163.65/163.59 ! [V_y,V_x,V_z,T_a] :
% 163.65/163.59 ( class_Fields_Ofield(T_a)
% 163.65/163.59 => ( V_z != c_Groups_Ozero__class_Ozero(T_a)
% 163.65/163.59 => 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) ) ) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_add__frac__num,axiom,
% 163.65/163.59 ! [V_z,V_x,V_y,T_a] :
% 163.65/163.59 ( class_Fields_Ofield__inverse__zero(T_a)
% 163.65/163.59 => ( V_y != c_Groups_Ozero__class_Ozero(T_a)
% 163.65/163.59 => 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) ) ) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_divide__add__eq__iff,axiom,
% 163.65/163.59 ! [V_y,V_x,V_z,T_a] :
% 163.65/163.59 ( class_Fields_Ofield(T_a)
% 163.65/163.59 => ( V_z != c_Groups_Ozero__class_Ozero(T_a)
% 163.65/163.59 => 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) ) ) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_add__frac__eq,axiom,
% 163.65/163.59 ! [V_w,V_x,V_z,V_y,T_a] :
% 163.65/163.59 ( class_Fields_Ofield(T_a)
% 163.65/163.59 => ( V_y != c_Groups_Ozero__class_Ozero(T_a)
% 163.65/163.59 => ( V_z != c_Groups_Ozero__class_Ozero(T_a)
% 163.65/163.59 => 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)) ) ) ) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_diff__divide__eq__iff,axiom,
% 163.65/163.59 ! [V_y,V_x,V_z,T_a] :
% 163.65/163.59 ( class_Fields_Ofield(T_a)
% 163.65/163.59 => ( V_z != c_Groups_Ozero__class_Ozero(T_a)
% 163.65/163.59 => 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) ) ) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_divide__diff__eq__iff,axiom,
% 163.65/163.59 ! [V_y,V_x,V_z,T_a] :
% 163.65/163.59 ( class_Fields_Ofield(T_a)
% 163.65/163.59 => ( V_z != c_Groups_Ozero__class_Ozero(T_a)
% 163.65/163.59 => 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) ) ) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_diff__frac__eq,axiom,
% 163.65/163.59 ! [V_w,V_x,V_z,V_y,T_a] :
% 163.65/163.59 ( class_Fields_Ofield(T_a)
% 163.65/163.59 => ( V_y != c_Groups_Ozero__class_Ozero(T_a)
% 163.65/163.59 => ( V_z != c_Groups_Ozero__class_Ozero(T_a)
% 163.65/163.59 => 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)) ) ) ) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_less__half__sum,axiom,
% 163.65/163.59 ! [V_b,V_a,T_a] :
% 163.65/163.59 ( class_Fields_Olinordered__field(T_a)
% 163.65/163.59 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 163.65/163.59 => 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))))) ) ) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_gt__half__sum,axiom,
% 163.65/163.59 ! [V_b,V_a,T_a] :
% 163.65/163.59 ( class_Fields_Olinordered__field(T_a)
% 163.65/163.59 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 163.65/163.59 => 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)) ) ) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_divide__left__mono__neg,axiom,
% 163.65/163.59 ! [V_c,V_b,V_a,T_a] :
% 163.65/163.59 ( class_Fields_Olinordered__field__inverse__zero(T_a)
% 163.65/163.59 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 163.65/163.59 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a)))
% 163.65/163.59 => ( 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)))
% 163.65/163.59 => 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))) ) ) ) ) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_divide__left__mono,axiom,
% 163.65/163.59 ! [V_c,V_a,V_b,T_a] :
% 163.65/163.59 ( class_Fields_Olinordered__field(T_a)
% 163.65/163.59 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_a))
% 163.65/163.59 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 163.65/163.59 => ( 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)))
% 163.65/163.59 => 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))) ) ) ) ) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_neg__divide__le__eq,axiom,
% 163.65/163.59 ! [V_a_2,V_b_2,V_c_2,T_b] :
% 163.65/163.59 ( class_Fields_Olinordered__field(T_b)
% 163.65/163.59 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 163.65/163.59 => ( 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))
% 163.65/163.59 <=> 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)) ) ) ) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_neg__le__divide__eq,axiom,
% 163.65/163.59 ! [V_b_2,V_a_2,V_c_2,T_b] :
% 163.65/163.59 ( class_Fields_Olinordered__field(T_b)
% 163.65/163.59 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 163.65/163.59 => ( 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)))
% 163.65/163.59 <=> 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))) ) ) ) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_mult__imp__le__div__pos,axiom,
% 163.65/163.59 ! [V_x,V_z,V_y,T_a] :
% 163.65/163.59 ( class_Fields_Olinordered__field(T_a)
% 163.65/163.59 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 163.65/163.59 => ( 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))
% 163.65/163.59 => 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))) ) ) ) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_mult__imp__div__pos__le,axiom,
% 163.65/163.59 ! [V_z,V_x,V_y,T_a] :
% 163.65/163.59 ( class_Fields_Olinordered__field(T_a)
% 163.65/163.59 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 163.65/163.59 => ( 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)))
% 163.65/163.59 => 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)) ) ) ) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_pos__divide__le__eq,axiom,
% 163.65/163.59 ! [V_a_2,V_b_2,V_c_2,T_b] :
% 163.65/163.59 ( class_Fields_Olinordered__field(T_b)
% 163.65/163.59 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 163.65/163.59 => ( 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))
% 163.65/163.59 <=> 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))) ) ) ) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_setprod__Un,axiom,
% 163.65/163.59 ! [V_f_2,V_B_2,V_A_2,T_b,T_c] :
% 163.65/163.59 ( class_Fields_Ofield(T_c)
% 163.65/163.59 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.65/163.59 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 163.65/163.59 => ( ! [B_x] :
% 163.65/163.59 ( 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)))
% 163.65/163.59 => hAPP(V_f_2,B_x) != c_Groups_Ozero__class_Ozero(T_c) )
% 163.65/163.59 => 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))) ) ) ) ) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_min__max_OInf__fin_Ohom__commute,axiom,
% 163.65/163.59 ! [V_N_2,V_h_2,T_b] :
% 163.65/163.59 ( class_Orderings_Olinorder(T_b)
% 163.65/163.59 => ( ! [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))
% 163.65/163.59 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2))
% 163.65/163.59 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.65/163.59 => 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)) ) ) ) ) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_Max_Ohom__commute,axiom,
% 163.65/163.59 ! [V_N_2,V_h_2,T_b] :
% 163.65/163.59 ( class_Orderings_Olinorder(T_b)
% 163.65/163.59 => ( ! [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))
% 163.65/163.59 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2))
% 163.65/163.59 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.65/163.59 => 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)) ) ) ) ) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_Min_Ohom__commute,axiom,
% 163.65/163.59 ! [V_N_2,V_h_2,T_b] :
% 163.65/163.59 ( class_Orderings_Olinorder(T_b)
% 163.65/163.59 => ( ! [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))
% 163.65/163.59 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2))
% 163.65/163.59 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.65/163.59 => 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)) ) ) ) ) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_decr__mult__lemma,axiom,
% 163.65/163.59 ! [V_k_2,V_P_2,V_d_2] :
% 163.65/163.59 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_d_2))
% 163.65/163.59 => ( ! [B_x] :
% 163.65/163.59 ( hBOOL(hAPP(V_P_2,B_x))
% 163.65/163.59 => hBOOL(hAPP(V_P_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_x),V_d_2))) )
% 163.65/163.59 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k_2))
% 163.65/163.59 => ! [B_x] :
% 163.65/163.59 ( hBOOL(hAPP(V_P_2,B_x))
% 163.65/163.59 => 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)))) ) ) ) ) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_negD,axiom,
% 163.65/163.59 ! [V_x] :
% 163.65/163.59 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_x),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 163.65/163.59 => ? [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))) ) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_incr__mult__lemma,axiom,
% 163.65/163.59 ! [V_k_2,V_P_2,V_d_2] :
% 163.65/163.59 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_d_2))
% 163.65/163.59 => ( ! [B_x] :
% 163.65/163.59 ( hBOOL(hAPP(V_P_2,B_x))
% 163.65/163.59 => hBOOL(hAPP(V_P_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_x),V_d_2))) )
% 163.65/163.59 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k_2))
% 163.65/163.59 => ! [B_x] :
% 163.65/163.59 ( hBOOL(hAPP(V_P_2,B_x))
% 163.65/163.59 => 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)))) ) ) ) ) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_ex__least__nat__less,axiom,
% 163.65/163.59 ! [V_n_2,V_P_2] :
% 163.65/163.59 ( ~ hBOOL(hAPP(V_P_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
% 163.65/163.59 => ( hBOOL(hAPP(V_P_2,V_n_2))
% 163.65/163.59 => ? [B_k] :
% 163.65/163.59 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_k),V_n_2))
% 163.65/163.59 & ! [B_i] :
% 163.65/163.59 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_i),B_k))
% 163.65/163.59 => ~ hBOOL(hAPP(V_P_2,B_i)) )
% 163.65/163.59 & 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)))) ) ) ) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_setprod__mono__one__right,axiom,
% 163.65/163.59 ! [V_f_2,V_S_2,V_T_2,T_b,T_c] :
% 163.65/163.59 ( class_Groups_Ocomm__monoid__mult(T_c)
% 163.65/163.59 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_T_2))
% 163.65/163.59 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_S_2),V_T_2))
% 163.65/163.59 => ( ! [B_x] :
% 163.65/163.59 ( 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)))
% 163.65/163.59 => hAPP(V_f_2,B_x) = c_Groups_Oone__class_Oone(T_c) )
% 163.65/163.59 => 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) ) ) ) ) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_setprod__mono__one__left,axiom,
% 163.65/163.59 ! [V_f_2,V_S_2,V_T_2,T_b,T_c] :
% 163.65/163.59 ( class_Groups_Ocomm__monoid__mult(T_c)
% 163.65/163.59 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_T_2))
% 163.65/163.59 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_S_2),V_T_2))
% 163.65/163.59 => ( ! [B_x] :
% 163.65/163.59 ( 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)))
% 163.65/163.59 => hAPP(V_f_2,B_x) = c_Groups_Oone__class_Oone(T_c) )
% 163.65/163.59 => 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) ) ) ) ) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_SigmaE,axiom,
% 163.65/163.59 ! [V_B_2,V_A_2,V_c_2,T_c,T_b] :
% 163.65/163.59 ( 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)))
% 163.65/163.59 => ~ ! [B_x] :
% 163.65/163.59 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 163.65/163.59 => ! [B_y] :
% 163.65/163.59 ( hBOOL(hAPP(hAPP(c_member(T_c),B_y),hAPP(V_B_2,B_x)))
% 163.65/163.59 => V_c_2 != hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),B_x),B_y) ) ) ) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_zero__less__imp__eq__int,axiom,
% 163.65/163.59 ! [V_k] :
% 163.65/163.59 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k))
% 163.65/163.59 => ? [B_n] :
% 163.65/163.59 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),B_n))
% 163.65/163.59 & V_k = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),B_n) ) ) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_map__pair__surj,axiom,
% 163.65/163.59 ! [V_g_2,T_d,T_e,V_f_2,T_b,T_c] :
% 163.65/163.59 ( 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))
% 163.65/163.59 => ( 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))
% 163.65/163.59 => 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)) ) ) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_ivl__disj__un_I19_J,axiom,
% 163.65/163.59 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 163.65/163.59 ( class_Orderings_Olinorder(T_b)
% 163.65/163.59 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_l_2),V_m_2))
% 163.65/163.59 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_m_2),V_u_2))
% 163.65/163.59 => 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) ) ) ) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_ivl__disj__un_I3_J,axiom,
% 163.65/163.59 ! [V_u_2,V_l_2,T_b] :
% 163.65/163.59 ( class_Orderings_Olinorder(T_b)
% 163.65/163.59 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_l_2),V_u_2))
% 163.65/163.59 => 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) ) ) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_finite__atLeastAtMost,axiom,
% 163.65/163.59 ! [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))) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_finite__atLeastLessThan,axiom,
% 163.65/163.59 ! [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))) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_finite__atLeastAtMost__int,axiom,
% 163.65/163.59 ! [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))) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_finite__atLeastLessThan__int,axiom,
% 163.65/163.59 ! [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))) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_map__pair__imageI,axiom,
% 163.65/163.59 ! [V_g_2,V_f_2,T_e,T_d,V_R_2,V_b_2,V_a_2,T_c,T_b] :
% 163.65/163.59 ( 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))
% 163.65/163.59 => 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))) ) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_atLeastLessThanPlusOne__atLeastAtMost__int,axiom,
% 163.65/163.59 ! [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) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_map__pair__simp,axiom,
% 163.65/163.59 ! [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)) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_image__add__atLeastLessThan,axiom,
% 163.65/163.59 ! [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)) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_atLeastLessThan__inj_I2_J,axiom,
% 163.65/163.59 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] :
% 163.65/163.59 ( class_Orderings_Olinorder(T_b)
% 163.65/163.59 => ( 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)
% 163.65/163.59 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2))
% 163.65/163.59 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),V_d_2))
% 163.65/163.59 => V_b_2 = V_d_2 ) ) ) ) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_atLeastLessThan__inj_I1_J,axiom,
% 163.65/163.59 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] :
% 163.65/163.59 ( class_Orderings_Olinorder(T_b)
% 163.65/163.59 => ( 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)
% 163.65/163.59 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2))
% 163.65/163.59 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),V_d_2))
% 163.65/163.59 => V_a_2 = V_c_2 ) ) ) ) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_atLeastLessThan__eq__iff,axiom,
% 163.65/163.59 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] :
% 163.65/163.59 ( class_Orderings_Olinorder(T_b)
% 163.65/163.59 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2))
% 163.65/163.59 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),V_d_2))
% 163.65/163.59 => ( 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)
% 163.65/163.59 <=> ( V_a_2 = V_c_2
% 163.65/163.59 & V_b_2 = V_d_2 ) ) ) ) ) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_map__pair__ident,axiom,
% 163.65/163.59 ! [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 ).
% 163.65/163.59
% 163.65/163.59 fof(fact_atLeastLessThanSuc__atLeastAtMost,axiom,
% 163.65/163.59 ! [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) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_image__Suc__atLeastLessThan,axiom,
% 163.65/163.59 ! [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)) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_image__Suc__atLeastAtMost,axiom,
% 163.65/163.59 ! [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)) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_ivl__disj__un_I21_J,axiom,
% 163.65/163.59 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 163.65/163.59 ( class_Orderings_Olinorder(T_b)
% 163.65/163.59 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_m_2))
% 163.65/163.59 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_m_2),V_u_2))
% 163.65/163.59 => 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) ) ) ) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_ivl__disj__int_I15_J,axiom,
% 163.65/163.59 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 163.65/163.59 ( class_Orderings_Oorder(T_b)
% 163.65/163.59 => 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)) ) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_image__add__atLeastAtMost,axiom,
% 163.65/163.59 ! [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)) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_snd__prod__fun,axiom,
% 163.65/163.59 ! [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)) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_fst__map__pair,axiom,
% 163.65/163.59 ! [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)) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_SetInterval_Otransfer__nat__int__set__functions_I2_J,axiom,
% 163.65/163.59 ! [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))) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_SetInterval_Otransfer__int__nat__set__functions,axiom,
% 163.65/163.59 ! [V_n_2,V_m_2] :
% 163.65/163.59 ( c_Nat__Transfer_Ois__nat(V_m_2)
% 163.65/163.59 => ( c_Nat__Transfer_Ois__nat(V_n_2)
% 163.65/163.59 => 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))) ) ) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_atLeastLessThan0,axiom,
% 163.65/163.59 ! [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)) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_ivl__disj__un_I6_J,axiom,
% 163.65/163.59 ! [V_u_2,V_l_2,T_b] :
% 163.65/163.59 ( class_Orderings_Olinorder(T_b)
% 163.65/163.59 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_u_2))
% 163.65/163.59 => 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) ) ) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_card__atLeastLessThan,axiom,
% 163.65/163.59 ! [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) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_SetInterval_Otransfer__int__nat__set__function__closures,axiom,
% 163.65/163.59 ! [V_y_2,V_x_2] :
% 163.65/163.59 ( c_Nat__Transfer_Ois__nat(V_x_2)
% 163.65/163.59 => c_Nat__Transfer_Onat__set(c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,V_x_2,V_y_2)) ) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_ivl__disj__un_I18_J,axiom,
% 163.65/163.59 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 163.65/163.59 ( class_Orderings_Olinorder(T_b)
% 163.65/163.59 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_m_2))
% 163.65/163.59 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_m_2),V_u_2))
% 163.65/163.59 => 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) ) ) ) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_atLeastatMost__empty__iff2,axiom,
% 163.65/163.59 ! [V_b_2,V_a_2,T_b] :
% 163.65/163.59 ( class_Orderings_Oorder(T_b)
% 163.65/163.59 => ( 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)
% 163.65/163.59 <=> ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2)) ) ) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_atLeastatMost__empty__iff,axiom,
% 163.65/163.59 ! [V_b_2,V_a_2,T_b] :
% 163.65/163.59 ( class_Orderings_Oorder(T_b)
% 163.65/163.59 => ( 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))
% 163.65/163.59 <=> ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2)) ) ) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_atLeastatMost__empty,axiom,
% 163.65/163.59 ! [V_a_2,V_b_2,T_b] :
% 163.65/163.59 ( class_Orderings_Oorder(T_b)
% 163.65/163.59 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),V_a_2))
% 163.65/163.59 => 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)) ) ) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_atLeastatMost__subset__iff,axiom,
% 163.65/163.59 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] :
% 163.65/163.59 ( class_Orderings_Oorder(T_b)
% 163.65/163.59 => ( 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)))
% 163.65/163.59 <=> ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2))
% 163.65/163.59 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_c_2),V_a_2))
% 163.65/163.59 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),V_d_2)) ) ) ) ) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_atLeastLessThan__empty,axiom,
% 163.65/163.59 ! [V_a_2,V_b_2,T_b] :
% 163.65/163.59 ( class_Orderings_Oorder(T_b)
% 163.65/163.59 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),V_a_2))
% 163.65/163.59 => 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)) ) ) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_atLeastLessThan__empty__iff2,axiom,
% 163.65/163.59 ! [V_b_2,V_a_2,T_b] :
% 163.65/163.59 ( class_Orderings_Oorder(T_b)
% 163.65/163.59 => ( 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)
% 163.65/163.59 <=> ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2)) ) ) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_atLeastLessThan__empty__iff,axiom,
% 163.65/163.59 ! [V_b_2,V_a_2,T_b] :
% 163.65/163.59 ( class_Orderings_Oorder(T_b)
% 163.65/163.59 => ( 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))
% 163.65/163.59 <=> ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2)) ) ) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_atLeastAtMost__singleton,axiom,
% 163.65/163.59 ! [V_a_2,T_b] :
% 163.65/163.59 ( class_Orderings_Oorder(T_b)
% 163.65/163.59 => 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))) ) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_atLeastAtMost__singleton__iff,axiom,
% 163.65/163.59 ! [V_c_2,V_b_2,V_a_2,T_b] :
% 163.65/163.59 ( class_Orderings_Oorder(T_b)
% 163.65/163.59 => ( 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)))
% 163.65/163.59 <=> ( V_a_2 = V_b_2
% 163.65/163.59 & V_b_2 = V_c_2 ) ) ) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_atLeastAtMost__singleton_H,axiom,
% 163.65/163.59 ! [V_b_2,V_a_2,T_b] :
% 163.65/163.59 ( class_Orderings_Oorder(T_b)
% 163.65/163.59 => ( V_a_2 = V_b_2
% 163.65/163.59 => 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))) ) ) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_atLeastLessThan__subset__iff,axiom,
% 163.65/163.59 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] :
% 163.65/163.59 ( class_Orderings_Olinorder(T_b)
% 163.65/163.59 => ( 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)))
% 163.65/163.59 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),V_a_2))
% 163.65/163.59 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_c_2),V_a_2))
% 163.65/163.59 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),V_d_2)) ) ) ) ) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_ivl__disj__un_I17_J,axiom,
% 163.65/163.59 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 163.65/163.59 ( class_Orderings_Olinorder(T_b)
% 163.65/163.59 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_m_2))
% 163.65/163.59 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_m_2),V_u_2))
% 163.65/163.59 => 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) ) ) ) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_image__uminus__atLeastAtMost,axiom,
% 163.65/163.59 ! [V_y_2,V_x_2,T_b] :
% 163.65/163.59 ( class_Groups_Oordered__ab__group__add(T_b)
% 163.65/163.59 => 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)) ) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_ivl__diff,axiom,
% 163.65/163.59 ! [V_m_2,V_n_2,V_i_2,T_b] :
% 163.65/163.59 ( class_Orderings_Olinorder(T_b)
% 163.65/163.59 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_i_2),V_n_2))
% 163.65/163.59 => 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) ) ) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_UN__UN__finite__eq,axiom,
% 163.65/163.59 ! [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) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_ivl__disj__int_I11_J,axiom,
% 163.65/163.59 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 163.65/163.59 ( class_Orderings_Oorder(T_b)
% 163.65/163.59 => 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)) ) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_atLeastSucLessThan__greaterThanLessThan,axiom,
% 163.65/163.59 ! [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) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_atLeastSucAtMost__greaterThanAtMost,axiom,
% 163.65/163.59 ! [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) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_finite__atLeastZeroLessThan__int,axiom,
% 163.65/163.59 ! [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))) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_SetInterval_Otransfer__nat__int__set__function__closures,axiom,
% 163.65/163.59 ! [V_y_2,V_x_2] :
% 163.65/163.59 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x_2))
% 163.65/163.59 => c_Nat__Transfer_Onat__set(c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,V_x_2,V_y_2)) ) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_card__atLeastAtMost,axiom,
% 163.65/163.59 ! [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) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_atLeastAtMostSuc__conv,axiom,
% 163.65/163.59 ! [V_n_2,V_m_2] :
% 163.65/163.59 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),hAPP(c_Nat_OSuc,V_n_2)))
% 163.65/163.59 => 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)) ) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_map__pair__def,axiom,
% 163.65/163.59 ! [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)) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_atLeastLessThan__singleton,axiom,
% 163.65/163.59 ! [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))) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_atLeastPlusOneAtMost__greaterThanAtMost__int,axiom,
% 163.65/163.59 ! [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) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_Int__atLeastAtMost,axiom,
% 163.65/163.59 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] :
% 163.65/163.59 ( class_Orderings_Olinorder(T_b)
% 163.65/163.59 => 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)) ) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_atLeastatMost__psubset__iff,axiom,
% 163.65/163.59 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] :
% 163.65/163.59 ( class_Orderings_Oorder(T_b)
% 163.65/163.59 => ( 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)))
% 163.65/163.59 <=> ( ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2))
% 163.65/163.59 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_c_2),V_a_2))
% 163.65/163.59 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),V_d_2))
% 163.65/163.59 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),V_a_2))
% 163.65/163.59 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),V_d_2)) ) ) )
% 163.65/163.59 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_c_2),V_d_2)) ) ) ) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_atLeastLessThan__add__Un,axiom,
% 163.65/163.59 ! [V_k_2,V_j_2,V_i_2] :
% 163.65/163.59 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i_2),V_j_2))
% 163.65/163.59 => 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))) ) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_Int__atLeastLessThan,axiom,
% 163.65/163.59 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] :
% 163.65/163.59 ( class_Orderings_Olinorder(T_b)
% 163.65/163.59 => 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)) ) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_ivl__disj__un_I22_J,axiom,
% 163.65/163.59 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 163.65/163.59 ( class_Orderings_Olinorder(T_b)
% 163.65/163.59 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_m_2))
% 163.65/163.59 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_m_2),V_u_2))
% 163.65/163.59 => 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) ) ) ) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_ivl__disj__int_I16_J,axiom,
% 163.65/163.59 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 163.65/163.59 ( class_Orderings_Oorder(T_b)
% 163.65/163.59 => 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)) ) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_ivl__disj__int_I13_J,axiom,
% 163.65/163.59 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 163.65/163.59 ( class_Orderings_Oorder(T_b)
% 163.65/163.59 => 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)) ) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_ivl__disj__int_I12_J,axiom,
% 163.65/163.59 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 163.65/163.59 ( class_Orderings_Oorder(T_b)
% 163.65/163.59 => 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)) ) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_subset__card__intvl__is__intvl,axiom,
% 163.65/163.59 ! [V_k_2,V_A_2] :
% 163.65/163.59 ( 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)))))
% 163.65/163.59 => 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))) ) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_ivl__disj__int_I9_J,axiom,
% 163.65/163.59 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 163.65/163.59 ( class_Orderings_Oorder(T_b)
% 163.65/163.59 => 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)) ) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_image__uminus__atLeastLessThan,axiom,
% 163.65/163.59 ! [V_y_2,V_x_2,T_b] :
% 163.65/163.59 ( class_Groups_Oordered__ab__group__add(T_b)
% 163.65/163.59 => 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)) ) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_image__uminus__greaterThanAtMost,axiom,
% 163.65/163.59 ! [V_y_2,V_x_2,T_b] :
% 163.65/163.59 ( class_Groups_Oordered__ab__group__add(T_b)
% 163.65/163.59 => 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)) ) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_image__add__int__atLeastLessThan,axiom,
% 163.65/163.59 ! [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) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_card__atLeastZeroLessThan__int,axiom,
% 163.65/163.59 ! [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) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_card__atLeastLessThan__int,axiom,
% 163.65/163.59 ! [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)) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_atLeastPlusOneLessThan__greaterThanLessThan__int,axiom,
% 163.65/163.59 ! [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) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_atLeastLessThanSuc,axiom,
% 163.65/163.59 ! [V_n_2,V_m_2] :
% 163.65/163.59 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2))
% 163.65/163.59 => 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)) )
% 163.65/163.59 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2))
% 163.65/163.59 => 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)) ) ) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_simp__from__to,axiom,
% 163.65/163.59 ! [V_i_2,V_j_2] :
% 163.65/163.59 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_j_2),V_i_2))
% 163.65/163.59 => 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)) )
% 163.65/163.59 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_j_2),V_i_2))
% 163.65/163.59 => 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)) ) ) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_ivl__disj__un_I15_J,axiom,
% 163.65/163.59 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 163.65/163.59 ( class_Orderings_Olinorder(T_b)
% 163.65/163.59 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_l_2),V_m_2))
% 163.65/163.59 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_m_2),V_u_2))
% 163.65/163.59 => 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) ) ) ) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_map__pair__surj__on,axiom,
% 163.65/163.59 ! [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] :
% 163.65/163.59 ( hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2) = V_A_H_2
% 163.65/163.59 => ( hAPP(c_Set_Oimage(T_e,T_d,V_g_2),V_B_2) = V_B_H_2
% 163.65/163.59 => 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)) ) ) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_card__atLeastAtMost__int,axiom,
% 163.65/163.59 ! [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))) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_image__minus__const__atLeastLessThan__nat,axiom,
% 163.65/163.59 ! [V_x_2,V_y_2,V_c_2] :
% 163.65/163.59 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_c_2),V_y_2))
% 163.65/163.59 => 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)) )
% 163.65/163.59 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_c_2),V_y_2))
% 163.65/163.59 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x_2),V_y_2))
% 163.65/163.59 => 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))) )
% 163.65/163.59 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x_2),V_y_2))
% 163.65/163.59 => 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)) ) ) ) ) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_wf__map__pair__image,axiom,
% 163.65/163.59 ! [V_f_2,T_c,V_r_2,T_b] :
% 163.65/163.59 ( c_Wellfounded_Owf(T_b,V_r_2)
% 163.65/163.59 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 163.65/163.59 => 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)) ) ) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_map__pair__inj__on,axiom,
% 163.65/163.59 ! [V_B_2,V_g_2,T_e,T_d,V_A_2,V_f_2,T_c,T_b] :
% 163.65/163.59 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 163.65/163.59 => ( c_Fun_Oinj__on(T_d,T_e,V_g_2,V_B_2)
% 163.65/163.59 => 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))) ) ) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_ivl__disj__un_I5_J,axiom,
% 163.65/163.59 ! [V_u_2,V_l_2,T_b] :
% 163.65/163.59 ( class_Orderings_Olinorder(T_b)
% 163.65/163.59 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_u_2))
% 163.65/163.59 => 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) ) ) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_bset_I8_J,axiom,
% 163.65/163.59 ! [V_B_2,V_t_2,V_D_2] :
% 163.65/163.59 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 163.65/163.59 => ( 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))
% 163.65/163.59 => ! [B_x] :
% 163.65/163.59 ( ! [B_xa] :
% 163.65/163.59 ( 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)))
% 163.65/163.59 => ! [B_xb] :
% 163.65/163.59 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_B_2))
% 163.65/163.59 => B_x != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_xb),B_xa) ) )
% 163.65/163.59 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_t_2),B_x))
% 163.65/163.59 => 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))) ) ) ) ) ).
% 163.65/163.59
% 163.65/163.59 fof(fact_aset_I6_J,axiom,
% 163.65/163.59 ! [V_A_2,V_t_2,V_D_2] :
% 163.65/163.59 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 163.65/163.59 => ( 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))
% 163.65/163.59 => ! [B_x] :
% 163.65/163.59 ( ! [B_xa] :
% 163.65/163.60 ( 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)))
% 163.65/163.60 => ! [B_xb] :
% 163.65/163.60 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_A_2))
% 163.65/163.60 => B_x != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_xb),B_xa) ) )
% 163.65/163.60 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_x),V_t_2))
% 163.65/163.60 => 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)) ) ) ) ) ).
% 163.65/163.60
% 163.65/163.60 fof(fact_bset_I3_J,axiom,
% 163.65/163.60 ! [V_B_2,V_t_2,V_D_2] :
% 163.65/163.60 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 163.65/163.60 => ( 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))
% 163.65/163.60 => ( ! [B_x] :
% 163.65/163.60 ( 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)))
% 163.65/163.60 => ! [B_xa] :
% 163.65/163.60 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xa),V_B_2))
% 163.65/163.60 => V_t_2 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_xa),B_x) ) )
% 163.65/163.60 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_t_2),V_D_2) = V_t_2 ) ) ) ).
% 163.65/163.60
% 163.65/163.60 fof(fact_all__nat__less,axiom,
% 163.65/163.60 ! [V_P_2,V_n_2] :
% 163.65/163.60 ( ! [B_m] :
% 163.65/163.60 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_m),V_n_2))
% 163.65/163.60 => hBOOL(hAPP(V_P_2,B_m)) )
% 163.65/163.60 <=> ! [B_x] :
% 163.65/163.60 ( 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)))
% 163.65/163.60 => hBOOL(hAPP(V_P_2,B_x)) ) ) ).
% 163.65/163.60
% 163.65/163.60 fof(fact_ex__nat__less,axiom,
% 163.65/163.60 ! [V_P_2,V_n_2] :
% 163.65/163.60 ( ? [B_m] :
% 163.65/163.60 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_m),V_n_2))
% 163.65/163.60 & hBOOL(hAPP(V_P_2,B_m)) )
% 163.65/163.60 <=> ? [B_x] :
% 163.65/163.60 ( 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)))
% 163.65/163.60 & hBOOL(hAPP(V_P_2,B_x)) ) ) ).
% 163.65/163.60
% 163.65/163.60 fof(fact_all__nat__less__eq,axiom,
% 163.65/163.60 ! [V_P_2,V_n_2] :
% 163.65/163.60 ( ! [B_m] :
% 163.65/163.60 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_m),V_n_2))
% 163.65/163.60 => hBOOL(hAPP(V_P_2,B_m)) )
% 163.65/163.60 <=> ! [B_x] :
% 163.65/163.60 ( 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)))
% 163.65/163.60 => hBOOL(hAPP(V_P_2,B_x)) ) ) ).
% 163.65/163.60
% 163.65/163.60 fof(fact_ex__nat__less__eq,axiom,
% 163.65/163.60 ! [V_P_2,V_n_2] :
% 163.65/163.60 ( ? [B_m] :
% 163.65/163.60 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_m),V_n_2))
% 163.65/163.60 & hBOOL(hAPP(V_P_2,B_m)) )
% 163.65/163.60 <=> ? [B_x] :
% 163.65/163.60 ( 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)))
% 163.65/163.60 & hBOOL(hAPP(V_P_2,B_x)) ) ) ).
% 163.65/163.60
% 163.65/163.60 fof(fact_aset_I3_J,axiom,
% 163.65/163.60 ! [V_A_2,V_t_2,V_D_2] :
% 163.65/163.60 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 163.65/163.60 => ( 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))
% 163.65/163.60 => ( ! [B_x] :
% 163.65/163.60 ( 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)))
% 163.65/163.60 => ! [B_xa] :
% 163.65/163.60 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xa),V_A_2))
% 163.65/163.60 => V_t_2 != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_xa),B_x) ) )
% 163.65/163.60 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_t_2),V_D_2) = V_t_2 ) ) ) ).
% 163.65/163.60
% 163.65/163.60 fof(fact_aset_I5_J,axiom,
% 163.65/163.60 ! [V_A_2,V_t_2,V_D_2] :
% 163.65/163.60 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 163.65/163.60 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),V_t_2),V_A_2))
% 163.65/163.60 => ! [B_x] :
% 163.65/163.60 ( ! [B_xa] :
% 163.65/163.60 ( 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)))
% 163.65/163.60 => ! [B_xb] :
% 163.65/163.60 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_A_2))
% 163.65/163.60 => B_x != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_xb),B_xa) ) )
% 163.65/163.60 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_x),V_t_2))
% 163.65/163.60 => 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)) ) ) ) ) ).
% 163.65/163.60
% 163.65/163.60 fof(fact_bset_I7_J,axiom,
% 163.65/163.60 ! [V_B_2,V_t_2,V_D_2] :
% 163.65/163.60 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 163.65/163.60 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),V_t_2),V_B_2))
% 163.65/163.60 => ! [B_x] :
% 163.65/163.60 ( ! [B_xa] :
% 163.65/163.60 ( 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)))
% 163.65/163.60 => ! [B_xb] :
% 163.65/163.60 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_B_2))
% 163.65/163.60 => B_x != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_xb),B_xa) ) )
% 163.65/163.60 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_t_2),B_x))
% 163.65/163.60 => 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))) ) ) ) ) ).
% 163.65/163.60
% 163.65/163.60 fof(fact_aset_I4_J,axiom,
% 163.65/163.60 ! [V_A_2,V_t_2,V_D_2] :
% 163.65/163.60 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 163.65/163.60 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),V_t_2),V_A_2))
% 163.65/163.60 => ! [B_x] :
% 163.65/163.60 ( ! [B_xa] :
% 163.65/163.60 ( 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)))
% 163.65/163.60 => ! [B_xb] :
% 163.65/163.60 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_A_2))
% 163.65/163.60 => B_x != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_xb),B_xa) ) )
% 163.65/163.60 => ( B_x != V_t_2
% 163.65/163.60 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_x),V_D_2) != V_t_2 ) ) ) ) ).
% 163.65/163.60
% 163.65/163.60 fof(fact_bset_I4_J,axiom,
% 163.65/163.60 ! [V_B_2,V_t_2,V_D_2] :
% 163.65/163.60 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 163.65/163.60 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),V_t_2),V_B_2))
% 163.65/163.60 => ! [B_x] :
% 163.65/163.60 ( ! [B_xa] :
% 163.65/163.60 ( 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)))
% 163.65/163.60 => ! [B_xb] :
% 163.65/163.60 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_B_2))
% 163.65/163.60 => B_x != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_xb),B_xa) ) )
% 163.65/163.60 => ( B_x != V_t_2
% 163.65/163.60 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_x),V_D_2) != V_t_2 ) ) ) ) ).
% 163.65/163.60
% 163.65/163.60 fof(fact_bset_I6_J,axiom,
% 163.65/163.60 ! [V_t_2,V_B_2,V_D_2] :
% 163.65/163.60 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 163.65/163.60 => ! [B_x] :
% 163.65/163.60 ( ! [B_xa] :
% 163.65/163.60 ( 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)))
% 163.65/163.60 => ! [B_xb] :
% 163.65/163.60 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_B_2))
% 163.65/163.60 => B_x != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_xb),B_xa) ) )
% 163.65/163.60 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_x),V_t_2))
% 163.65/163.60 => 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)) ) ) ) ).
% 163.65/163.60
% 163.65/163.60 fof(fact_aset_I8_J,axiom,
% 163.65/163.60 ! [V_t_2,V_A_2,V_D_2] :
% 163.65/163.60 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 163.65/163.60 => ! [B_x] :
% 163.65/163.60 ( ! [B_xa] :
% 163.65/163.60 ( 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)))
% 163.65/163.60 => ! [B_xb] :
% 163.65/163.60 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_A_2))
% 163.65/163.60 => B_x != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_xb),B_xa) ) )
% 163.65/163.60 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_t_2),B_x))
% 163.65/163.60 => 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))) ) ) ) ).
% 163.65/163.60
% 163.65/163.60 fof(fact_UN__finite2__subset,axiom,
% 163.65/163.60 ! [V_B_2,V_k_2,V_A_2,T_b] :
% 163.65/163.60 ( ! [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)))
% 163.65/163.60 => 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))) ) ).
% 163.65/163.60
% 163.65/163.60 fof(fact_wf__lenlex,axiom,
% 163.65/163.60 ! [V_r_2,T_b] :
% 163.65/163.60 ( c_Wellfounded_Owf(T_b,V_r_2)
% 163.65/163.60 => c_Wellfounded_Owf(tc_List_Olist(T_b),c_List_Olenlex(T_b,V_r_2)) ) ).
% 163.65/163.60
% 163.65/163.60 fof(fact_wf__lex,axiom,
% 163.65/163.60 ! [V_r_2,T_b] :
% 163.65/163.60 ( c_Wellfounded_Owf(T_b,V_r_2)
% 163.65/163.60 => c_Wellfounded_Owf(tc_List_Olist(T_b),c_List_Olex(T_b,V_r_2)) ) ).
% 163.65/163.60
% 163.65/163.60 fof(fact_periodic__finite__ex,axiom,
% 163.65/163.60 ! [V_P_2,V_d_2] :
% 163.65/163.60 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_d_2))
% 163.65/163.60 => ( ! [B_x,B_k] :
% 163.65/163.60 ( hBOOL(hAPP(V_P_2,B_x))
% 163.65/163.60 <=> 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)))) )
% 163.65/163.60 => ( ? [B_x1] : hBOOL(hAPP(V_P_2,B_x1))
% 163.65/163.60 <=> ? [B_x] :
% 163.65/163.60 ( 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)))
% 163.96/163.60 & hBOOL(hAPP(V_P_2,B_x)) ) ) ) ) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_aset_I7_J,axiom,
% 163.96/163.60 ! [V_t_2,V_A_2,V_D_2] :
% 163.96/163.60 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 163.96/163.60 => ! [B_x] :
% 163.96/163.60 ( ! [B_xa] :
% 163.96/163.60 ( 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)))
% 163.96/163.60 => ! [B_xb] :
% 163.96/163.60 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_A_2))
% 163.96/163.60 => B_x != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_xb),B_xa) ) )
% 163.96/163.60 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_t_2),B_x))
% 163.96/163.60 => 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))) ) ) ) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_bset_I5_J,axiom,
% 163.96/163.60 ! [V_t_2,V_B_2,V_D_2] :
% 163.96/163.60 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 163.96/163.60 => ! [B_x] :
% 163.96/163.60 ( ! [B_xa] :
% 163.96/163.60 ( 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)))
% 163.96/163.60 => ! [B_xb] :
% 163.96/163.60 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_B_2))
% 163.96/163.60 => B_x != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_xb),B_xa) ) )
% 163.96/163.60 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_x),V_t_2))
% 163.96/163.60 => 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)) ) ) ) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_image__atLeastZeroLessThan__int,axiom,
% 163.96/163.60 ! [V_u_2] :
% 163.96/163.60 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_u_2))
% 163.96/163.60 => 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))) ) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_UN__finite2__eq,axiom,
% 163.96/163.60 ! [V_B_2,V_k_2,V_A_2,T_b] :
% 163.96/163.60 ( ! [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)
% 163.96/163.60 => 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) ) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_finite__lessThan,axiom,
% 163.96/163.60 ! [V_k_2] : hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),V_k_2))) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_lessThan__eq__iff,axiom,
% 163.96/163.60 ! [V_y_2,V_x_2,T_b] :
% 163.96/163.60 ( class_Orderings_Olinorder(T_b)
% 163.96/163.60 => ( hAPP(c_SetInterval_Oord__class_OlessThan(T_b),V_x_2) = hAPP(c_SetInterval_Oord__class_OlessThan(T_b),V_y_2)
% 163.96/163.60 <=> V_x_2 = V_y_2 ) ) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_card__lessThan,axiom,
% 163.96/163.60 ! [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 ).
% 163.96/163.60
% 163.96/163.60 fof(fact_UN__lessThan__UNIV,axiom,
% 163.96/163.60 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)) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_atLeast0LessThan,axiom,
% 163.96/163.60 ! [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) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_lessThan__0,axiom,
% 163.96/163.60 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)) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_lessThan__Suc,axiom,
% 163.96/163.60 ! [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)) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_lessThan__iff,axiom,
% 163.96/163.60 ! [V_k_2,V_i_2,T_b] :
% 163.96/163.60 ( class_Orderings_Oord(T_b)
% 163.96/163.60 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),hAPP(c_SetInterval_Oord__class_OlessThan(T_b),V_k_2)))
% 163.96/163.60 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_i_2),V_k_2)) ) ) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_lessThan__subset__iff,axiom,
% 163.96/163.60 ! [V_y_2,V_x_2,T_b] :
% 163.96/163.60 ( class_Orderings_Olinorder(T_b)
% 163.96/163.60 => ( 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)))
% 163.96/163.60 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2)) ) ) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_lessThan__strict__subset__iff,axiom,
% 163.96/163.60 ! [V_n_2,V_m_2,T_b] :
% 163.96/163.60 ( class_Orderings_Olinorder(T_b)
% 163.96/163.60 => ( 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)))
% 163.96/163.60 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_m_2),V_n_2)) ) ) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_single__Diff__lessThan,axiom,
% 163.96/163.60 ! [V_k_2,T_b] :
% 163.96/163.60 ( class_Orderings_Oorder(T_b)
% 163.96/163.60 => 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))) ) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_ivl__disj__un_I8_J,axiom,
% 163.96/163.60 ! [V_u_2,V_l_2,T_b] :
% 163.96/163.60 ( class_Orderings_Olinorder(T_b)
% 163.96/163.60 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_u_2))
% 163.96/163.60 => 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) ) ) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_ivl__disj__int_I4_J,axiom,
% 163.96/163.60 ! [V_u_2,V_l_2,T_b] :
% 163.96/163.60 ( class_Orderings_Oorder(T_b)
% 163.96/163.60 => 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)) ) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_ivl__disj__int_I2_J,axiom,
% 163.96/163.60 ! [V_u_2,V_l_2,T_b] :
% 163.96/163.60 ( class_Orderings_Oorder(T_b)
% 163.96/163.60 => 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)) ) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_lessThan__Suc__eq__insert__0,axiom,
% 163.96/163.60 ! [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))) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_arith__series__int,axiom,
% 163.96/163.60 ! [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)))) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_UN__finite__subset,axiom,
% 163.96/163.60 ! [V_C_2,V_A_2,T_b] :
% 163.96/163.60 ( ! [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))
% 163.96/163.60 => 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)) ) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_prod__fun__imageE,axiom,
% 163.96/163.60 ! [V_R_2,V_g_2,V_f_2,T_e,T_d,V_c_2,T_c,T_b] :
% 163.96/163.60 ( 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)))
% 163.96/163.60 => ~ ! [B_x,B_y] :
% 163.96/163.60 ( 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))
% 163.96/163.60 => ~ 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)) ) ) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_setsum_Oempty,axiom,
% 163.96/163.60 ! [V_g_2,T_c,T_b] :
% 163.96/163.60 ( class_Groups_Ocomm__monoid__add(T_b)
% 163.96/163.60 => 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) ) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_setsum__empty,axiom,
% 163.96/163.60 ! [V_f_2,T_c,T_b] :
% 163.96/163.60 ( class_Groups_Ocomm__monoid__add(T_b)
% 163.96/163.60 => 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) ) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_setsum__infinite,axiom,
% 163.96/163.60 ! [V_f_2,V_A_2,T_b,T_c] :
% 163.96/163.60 ( class_Groups_Ocomm__monoid__add(T_c)
% 163.96/163.60 => ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.96/163.60 => 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) ) ) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_setsum_Oinfinite,axiom,
% 163.96/163.60 ! [V_g_2,V_A_2,T_b,T_c] :
% 163.96/163.60 ( class_Groups_Ocomm__monoid__add(T_c)
% 163.96/163.60 => ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.96/163.60 => 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) ) ) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_setsum__subtractf,axiom,
% 163.96/163.60 ! [V_A_2,V_g_2,V_f_2,T_c,T_b] :
% 163.96/163.60 ( class_Groups_Oab__group__add(T_b)
% 163.96/163.60 => 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)) ) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_setsum__cartesian__product,axiom,
% 163.96/163.60 ! [V_A_2,V_B_2,V_f_2,T_d,T_c,T_b] :
% 163.96/163.60 ( class_Groups_Ocomm__monoid__add(T_b)
% 163.96/163.60 => 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))) ) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_setsum__addf,axiom,
% 163.96/163.60 ! [V_A_2,V_g_2,V_f_2,T_c,T_b] :
% 163.96/163.60 ( class_Groups_Ocomm__monoid__add(T_b)
% 163.96/163.60 => 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)) ) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_setsum__right__distrib,axiom,
% 163.96/163.60 ! [V_A_2,V_f_2,T_c,V_r_2,T_b] :
% 163.96/163.60 ( class_Rings_Osemiring__0(T_b)
% 163.96/163.60 => 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) ) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_setsum__left__distrib,axiom,
% 163.96/163.60 ! [V_r_2,V_A_2,V_f_2,T_c,T_b] :
% 163.96/163.60 ( class_Rings_Osemiring__0(T_b)
% 163.96/163.60 => 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) ) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_setsum__product,axiom,
% 163.96/163.60 ! [V_B_2,V_g_2,T_d,V_A_2,V_f_2,T_c,T_b] :
% 163.96/163.60 ( class_Rings_Osemiring__0(T_b)
% 163.96/163.60 => 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) ) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_setsum__commute,axiom,
% 163.96/163.60 ! [V_A_2,V_B_2,V_f_2,T_d,T_c,T_b] :
% 163.96/163.60 ( class_Groups_Ocomm__monoid__add(T_b)
% 163.96/163.60 => 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) ) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_of__nat__setsum,axiom,
% 163.96/163.60 ! [V_A_2,V_f_2,T_c,T_b] :
% 163.96/163.60 ( class_Rings_Osemiring__1(T_b)
% 163.96/163.60 => 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) ) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_of__int__setsum,axiom,
% 163.96/163.60 ! [V_A_2,V_f_2,T_c,T_b] :
% 163.96/163.60 ( class_Rings_Oring__1(T_b)
% 163.96/163.60 => 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) ) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_setsum__negf,axiom,
% 163.96/163.60 ! [V_A_2,V_f_2,T_c,T_b] :
% 163.96/163.60 ( class_Groups_Oab__group__add(T_b)
% 163.96/163.60 => 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)) ) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_setsum__0,axiom,
% 163.96/163.60 ! [V_A_2,T_c,T_b] :
% 163.96/163.60 ( class_Groups_Ocomm__monoid__add(T_b)
% 163.96/163.60 => 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) ) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_setsum__divide__distrib,axiom,
% 163.96/163.60 ! [V_r_2,V_A_2,V_f_2,T_c,T_b] :
% 163.96/163.60 ( class_Fields_Ofield(T_b)
% 163.96/163.60 => 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) ) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_setsum_Odistrib,axiom,
% 163.96/163.60 ! [V_h_2,V_g_2,V_A_2,T_b,T_c] :
% 163.96/163.60 ( class_Groups_Ocomm__monoid__add(T_c)
% 163.96/163.60 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.96/163.60 => 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)) ) ) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_setsum__shift__bounds__Suc__ivl,axiom,
% 163.96/163.60 ! [V_n_2,V_m_2,V_f_2,T_b] :
% 163.96/163.60 ( class_Groups_Ocomm__monoid__add(T_b)
% 163.96/163.60 => 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)) ) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_setsum__shift__bounds__nat__ivl,axiom,
% 163.96/163.60 ! [V_n_2,V_k_2,V_m_2,V_f_2,T_b] :
% 163.96/163.60 ( class_Groups_Ocomm__monoid__add(T_b)
% 163.96/163.60 => 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)) ) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_setsum__shift__bounds__cl__Suc__ivl,axiom,
% 163.96/163.60 ! [V_n_2,V_m_2,V_f_2,T_b] :
% 163.96/163.60 ( class_Groups_Ocomm__monoid__add(T_b)
% 163.96/163.60 => 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)) ) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_setsum__shift__bounds__cl__nat__ivl,axiom,
% 163.96/163.60 ! [V_n_2,V_k_2,V_m_2,V_f_2,T_b] :
% 163.96/163.60 ( class_Groups_Ocomm__monoid__add(T_b)
% 163.96/163.60 => 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)) ) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_setsum__add__nat__ivl,axiom,
% 163.96/163.60 ! [V_f_2,V_p_2,V_n_2,V_m_2,T_b] :
% 163.96/163.60 ( class_Groups_Ocomm__monoid__add(T_b)
% 163.96/163.60 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2))
% 163.96/163.60 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n_2),V_p_2))
% 163.96/163.60 => 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)) ) ) ) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_setsum__diff__nat__ivl,axiom,
% 163.96/163.60 ! [V_f_2,V_p_2,V_n_2,V_m_2,T_b] :
% 163.96/163.60 ( class_Groups_Oab__group__add(T_b)
% 163.96/163.60 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2))
% 163.96/163.60 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n_2),V_p_2))
% 163.96/163.60 => 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)) ) ) ) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_setsum__delta_H,axiom,
% 163.96/163.60 ! [V_b_2,V_a_2,V_S_2,T_b,T_c] :
% 163.96/163.60 ( class_Groups_Ocomm__monoid__add(T_c)
% 163.96/163.60 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 163.96/163.60 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2))
% 163.96/163.60 => 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) )
% 163.96/163.60 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2))
% 163.96/163.60 => 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) ) ) ) ) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_setsum__delta,axiom,
% 163.96/163.60 ! [V_b_2,V_a_2,V_S_2,T_b,T_c] :
% 163.96/163.60 ( class_Groups_Ocomm__monoid__add(T_c)
% 163.96/163.60 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 163.96/163.60 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2))
% 163.96/163.60 => 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) )
% 163.96/163.60 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2))
% 163.96/163.60 => 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) ) ) ) ) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_setsum__setsum__restrict,axiom,
% 163.96/163.60 ! [V_R_2,V_f_2,V_T_2,T_c,V_S_2,T_b,T_d] :
% 163.96/163.60 ( class_Groups_Ocomm__monoid__add(T_d)
% 163.96/163.60 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 163.96/163.60 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_T_2))
% 163.96/163.60 => 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) ) ) ) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_setsum__constant,axiom,
% 163.96/163.60 ! [V_A_2,V_y_2,T_c,T_b] :
% 163.96/163.60 ( class_Rings_Osemiring__1(T_b)
% 163.96/163.60 => 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) ) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_setsum__lessThan__Suc,axiom,
% 163.96/163.60 ! [V_n_2,V_f_2,T_b] :
% 163.96/163.60 ( class_Groups_Ocomm__monoid__add(T_b)
% 163.96/163.60 => 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)) ) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_setsum_Oinsert,axiom,
% 163.96/163.60 ! [V_g_2,V_x_2,V_A_2,T_b,T_c] :
% 163.96/163.60 ( class_Groups_Ocomm__monoid__add(T_c)
% 163.96/163.60 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.96/163.60 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 163.96/163.60 => 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)) ) ) ) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_setsum__insert,axiom,
% 163.96/163.60 ! [V_f_2,V_a_2,V_F_2,T_b,T_c] :
% 163.96/163.60 ( class_Groups_Ocomm__monoid__add(T_c)
% 163.96/163.60 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2))
% 163.96/163.60 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_F_2))
% 163.96/163.60 => 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)) ) ) ) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_setsum__Un__Int,axiom,
% 163.96/163.60 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] :
% 163.96/163.60 ( class_Groups_Ocomm__monoid__add(T_c)
% 163.96/163.60 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.96/163.60 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 163.96/163.60 => 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)) ) ) ) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_setsum__diff,axiom,
% 163.96/163.60 ! [V_f_2,V_B_2,V_A_2,T_b,T_c] :
% 163.96/163.60 ( class_Groups_Oab__group__add(T_c)
% 163.96/163.60 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.96/163.60 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 163.96/163.60 => 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)) ) ) ) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_setsum_Oeq__fold,axiom,
% 163.96/163.60 ! [V_g_2,V_A_2,T_b,T_c] :
% 163.96/163.60 ( class_Groups_Ocomm__monoid__add(T_c)
% 163.96/163.60 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.96/163.60 => 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) ) ) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_setsum_OF__eq,axiom,
% 163.96/163.60 ! [V_g_2,V_A_2,T_b,T_c] :
% 163.96/163.60 ( class_Groups_Ocomm__monoid__add(T_c)
% 163.96/163.60 => ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.96/163.60 => 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) )
% 163.96/163.60 & ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.96/163.60 => 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) ) ) ) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_setsum__shift__lb__Suc0__0__upt,axiom,
% 163.96/163.60 ! [V_k_2,V_f_2,T_b] :
% 163.96/163.60 ( class_Groups_Ocomm__monoid__add(T_b)
% 163.96/163.60 => ( hAPP(V_f_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(T_b)
% 163.96/163.60 => 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)) ) ) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_setsum__head__upt__Suc,axiom,
% 163.96/163.60 ! [V_f_2,V_n_2,V_m_2,T_b] :
% 163.96/163.60 ( class_Groups_Ocomm__monoid__add(T_b)
% 163.96/163.60 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2))
% 163.96/163.60 => 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))) ) ) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_setsum__head__Suc,axiom,
% 163.96/163.60 ! [V_f_2,V_n_2,V_m_2,T_b] :
% 163.96/163.60 ( class_Groups_Ocomm__monoid__add(T_b)
% 163.96/163.60 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2))
% 163.96/163.60 => 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))) ) ) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_setsum__restrict__set_H,axiom,
% 163.96/163.60 ! [V_B_2,V_f_2,V_A_2,T_b,T_c] :
% 163.96/163.60 ( class_Groups_Ocomm__monoid__add(T_c)
% 163.96/163.60 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.96/163.60 => 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) ) ) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_setsum__restrict__set,axiom,
% 163.96/163.60 ! [V_B_2,V_f_2,V_A_2,T_b,T_c] :
% 163.96/163.60 ( class_Groups_Ocomm__monoid__add(T_c)
% 163.96/163.60 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.96/163.60 => 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) ) ) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_setsum__image__gen,axiom,
% 163.96/163.60 ! [V_f_2,T_d,V_g_2,V_S_2,T_b,T_c] :
% 163.96/163.60 ( class_Groups_Ocomm__monoid__add(T_c)
% 163.96/163.60 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 163.96/163.60 => 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)) ) ) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_setsum_Oinsert__remove,axiom,
% 163.96/163.60 ! [V_x_2,V_g_2,V_A_2,T_b,T_c] :
% 163.96/163.60 ( class_Groups_Ocomm__monoid__add(T_c)
% 163.96/163.60 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.96/163.60 => 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)))))) ) ) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_setsum__Un__disjoint,axiom,
% 163.96/163.60 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] :
% 163.96/163.60 ( class_Groups_Ocomm__monoid__add(T_c)
% 163.96/163.60 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.96/163.60 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 163.96/163.60 => ( 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))
% 163.96/163.60 => 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)) ) ) ) ) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_setsum__Un,axiom,
% 163.96/163.60 ! [V_f_2,V_B_2,V_A_2,T_b,T_c] :
% 163.96/163.60 ( class_Groups_Oab__group__add(T_c)
% 163.96/163.60 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.96/163.60 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 163.96/163.60 => 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))) ) ) ) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_setsum__op__ivl__Suc,axiom,
% 163.96/163.60 ! [V_f_2,V_m_2,V_n_2,T_b] :
% 163.96/163.60 ( class_Groups_Ocomm__monoid__add(T_b)
% 163.96/163.60 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),V_m_2))
% 163.96/163.60 => 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) )
% 163.96/163.60 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),V_m_2))
% 163.96/163.60 => 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)) ) ) ) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_setsum__cl__ivl__Suc,axiom,
% 163.96/163.60 ! [V_f_2,V_m_2,V_n_2,T_b] :
% 163.96/163.60 ( class_Groups_Ocomm__monoid__add(T_b)
% 163.96/163.60 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_n_2)),V_m_2))
% 163.96/163.60 => 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) )
% 163.96/163.60 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_n_2)),V_m_2))
% 163.96/163.60 => 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))) ) ) ) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_setsum__head,axiom,
% 163.96/163.60 ! [V_P_2,V_n_2,V_m_2,T_b] :
% 163.96/163.60 ( class_Groups_Ocomm__monoid__add(T_b)
% 163.96/163.60 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2))
% 163.96/163.60 => 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))) ) ) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_setsum__ub__add__nat,axiom,
% 163.96/163.60 ! [V_p_2,V_f_2,V_n_2,V_m_2,T_b] :
% 163.96/163.60 ( class_Groups_Ocomm__monoid__add(T_b)
% 163.96/163.60 => ( 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))))
% 163.96/163.60 => 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)))) ) ) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_setsum__cases,axiom,
% 163.96/163.60 ! [V_g_2,V_f_2,V_P_2,V_A_2,T_b,T_c] :
% 163.96/163.60 ( class_Groups_Ocomm__monoid__add(T_c)
% 163.96/163.60 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.96/163.60 => 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))))) ) ) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_setsum__diff1_H,axiom,
% 163.96/163.60 ! [V_f_2,V_a_2,V_A_2,T_b,T_c] :
% 163.96/163.60 ( class_Groups_Ocomm__monoid__add(T_c)
% 163.96/163.60 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.96/163.60 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 163.96/163.60 => 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)))))) ) ) ) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_setsum_Oremove,axiom,
% 163.96/163.60 ! [V_g_2,V_x_2,V_A_2,T_b,T_c] :
% 163.96/163.60 ( class_Groups_Ocomm__monoid__add(T_c)
% 163.96/163.60 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.96/163.60 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 163.96/163.60 => 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)))))) ) ) ) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_setsum__diff1,axiom,
% 163.96/163.60 ! [V_f_2,V_a_2,V_A_2,T_b,T_c] :
% 163.96/163.60 ( class_Groups_Oab__group__add(T_c)
% 163.96/163.60 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.96/163.60 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 163.96/163.60 => 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)) )
% 163.96/163.60 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 163.96/163.60 => 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) ) ) ) ) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_setsum__diff1__ring,axiom,
% 163.96/163.60 ! [V_f_2,V_a_2,V_A_2,T_b,T_c] :
% 163.96/163.60 ( class_Rings_Oring(T_c)
% 163.96/163.60 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.96/163.60 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 163.96/163.60 => 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)) ) ) ) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_geometric__sum,axiom,
% 163.96/163.60 ! [V_n_2,V_x_2,T_b] :
% 163.96/163.60 ( class_Fields_Ofield(T_b)
% 163.96/163.60 => ( V_x_2 != c_Groups_Oone__class_Oone(T_b)
% 163.96/163.60 => 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))) ) ) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_gauss__sum,axiom,
% 163.96/163.60 ! [V_n_2,T_b] :
% 163.96/163.60 ( class_Rings_Ocomm__semiring__1(T_b)
% 163.96/163.60 => 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))) ) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_setsum__natinterval__difff,axiom,
% 163.96/163.60 ! [V_f_2,V_n_2,V_m_2,T_b] :
% 163.96/163.60 ( class_Groups_Oab__group__add(T_b)
% 163.96/163.60 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2))
% 163.96/163.60 => 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)))) )
% 163.96/163.60 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2))
% 163.96/163.60 => 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) ) ) ) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_arith__series__general,axiom,
% 163.96/163.60 ! [V_n_2,V_d_2,V_a_2,T_b] :
% 163.96/163.60 ( class_Rings_Ocomm__semiring__1(T_b)
% 163.96/163.60 => 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)))) ) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_setsum__mult__setsum__if__inj,axiom,
% 163.96/163.60 ! [V_B_2,V_A_2,V_g_2,V_f_2,T_c,T_b,T_d] :
% 163.96/163.60 ( class_Rings_Osemiring__0(T_d)
% 163.96/163.60 => ( 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)))
% 163.96/163.60 => 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))))))) ) ) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_setsum__mono2,axiom,
% 163.96/163.60 ! [V_f_2,V_A_2,V_B_2,T_b,T_c] :
% 163.96/163.60 ( class_Groups_Oordered__comm__monoid__add(T_c)
% 163.96/163.60 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 163.96/163.60 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 163.96/163.60 => ( ! [B_b] :
% 163.96/163.60 ( 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)))
% 163.96/163.60 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),c_Groups_Ozero__class_Ozero(T_c)),hAPP(V_f_2,B_b))) )
% 163.96/163.60 => 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))) ) ) ) ) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_setsum__bounded,axiom,
% 163.96/163.60 ! [V_K_2,V_f_2,V_A_2,T_b,T_c] :
% 163.96/163.60 ( ( class_Groups_Oordered__ab__semigroup__add(T_c)
% 163.96/163.60 & class_Rings_Osemiring__1(T_c) )
% 163.96/163.60 => ( ! [B_i] :
% 163.96/163.60 ( hBOOL(hAPP(hAPP(c_member(T_b),B_i),V_A_2))
% 163.96/163.60 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(V_f_2,B_i)),V_K_2)) )
% 163.96/163.60 => 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))) ) ) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_setsum__eq__0__iff,axiom,
% 163.96/163.60 ! [V_f_2,V_F_2,T_b] :
% 163.96/163.60 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2))
% 163.96/163.60 => ( 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)
% 163.96/163.60 <=> ! [B_x] :
% 163.96/163.60 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_F_2))
% 163.96/163.60 => hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_map__pair_Oid,axiom,
% 163.96/163.60 ! [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)) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_map__pair_Oidentity,axiom,
% 163.96/163.60 ! [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)) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_vimage__id,axiom,
% 163.96/163.60 ! [V_A_2,T_b] : hAPP(c_Set_Ovimage(T_b,T_b,c_Fun_Oid(T_b)),V_A_2) = V_A_2 ).
% 163.96/163.60
% 163.96/163.60 fof(fact_id__apply,axiom,
% 163.96/163.60 ! [V_x,T_a] : hAPP(c_Fun_Oid(T_a),V_x) = V_x ).
% 163.96/163.60
% 163.96/163.60 fof(fact_id__def,axiom,
% 163.96/163.60 ! [V_x_1,T_a] : hAPP(c_Fun_Oid(T_a),V_x_1) = V_x_1 ).
% 163.96/163.60
% 163.96/163.60 fof(fact_inj__on__id,axiom,
% 163.96/163.60 ! [V_A_2,T_b] : c_Fun_Oinj__on(T_b,T_b,c_Fun_Oid(T_b),V_A_2) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_image__id,axiom,
% 163.96/163.60 ! [V_Y_2,T_b] : hAPP(c_Set_Oimage(T_b,T_b,c_Fun_Oid(T_b)),V_Y_2) = V_Y_2 ).
% 163.96/163.60
% 163.96/163.60 fof(fact_of__int__eq__id,axiom,
% 163.96/163.60 c_Int_Oring__1__class_Oof__int(tc_Int_Oint) = c_Fun_Oid(tc_Int_Oint) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_surj__id,axiom,
% 163.96/163.60 ! [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)) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_card__eq__setsum,axiom,
% 163.96/163.60 ! [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) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_int__setsum,axiom,
% 163.96/163.60 ! [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) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_setsum__eq__Suc0__iff,axiom,
% 163.96/163.60 ! [V_f_2,V_A_2,T_b] :
% 163.96/163.60 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.96/163.60 => ( 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))
% 163.96/163.60 <=> ? [B_x] :
% 163.96/163.60 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 163.96/163.60 & hAPP(V_f_2,B_x) = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 163.96/163.60 & ! [B_xa] :
% 163.96/163.60 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_A_2))
% 163.96/163.60 => ( B_x != B_xa
% 163.96/163.60 => hAPP(V_f_2,B_xa) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ) ) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_split__Pair,axiom,
% 163.96/163.60 ! [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)) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_setsum__eq__1__iff,axiom,
% 163.96/163.60 ! [V_f_2,V_A_2,T_b] :
% 163.96/163.60 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.96/163.60 => ( 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)
% 163.96/163.60 <=> ? [B_x] :
% 163.96/163.60 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 163.96/163.60 & hAPP(V_f_2,B_x) = c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 163.96/163.60 & ! [B_xa] :
% 163.96/163.60 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_A_2))
% 163.96/163.60 => ( B_x != B_xa
% 163.96/163.60 => hAPP(V_f_2,B_xa) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ) ) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_setsum__shift__lb__Suc0__0,axiom,
% 163.96/163.60 ! [V_k_2,V_f_2] :
% 163.96/163.60 ( hAPP(V_f_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 163.96/163.60 => 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)) ) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_setsum__reindex__id,axiom,
% 163.96/163.60 ! [V_B_2,V_f_2,T_b,T_c] :
% 163.96/163.60 ( class_Groups_Ocomm__monoid__add(T_c)
% 163.96/163.60 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_B_2)
% 163.96/163.60 => 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)) ) ) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_setprod__reindex__id,axiom,
% 163.96/163.60 ! [V_B_2,V_f_2,T_b,T_c] :
% 163.96/163.60 ( class_Groups_Ocomm__monoid__mult(T_c)
% 163.96/163.60 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_B_2)
% 163.96/163.60 => 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)) ) ) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_transfer__nat__int__sum__prod2_I1_J,axiom,
% 163.96/163.60 ! [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)) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_setsum__diff__nat,axiom,
% 163.96/163.60 ! [V_f_2,V_A_2,V_B_2,T_b] :
% 163.96/163.60 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 163.96/163.60 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 163.96/163.60 => 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)) ) ) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_transfer__nat__int__sum__prod_I1_J,axiom,
% 163.96/163.60 ! [V_A_2,V_f_2,T_b] :
% 163.96/163.60 ( ( class_Groups_Ocomm__monoid__add(T_b)
% 163.96/163.60 & class_Groups_Ocomm__monoid__mult(T_b) )
% 163.96/163.60 => 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)) ) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_setsum__diff1__nat,axiom,
% 163.96/163.60 ! [V_f_2,V_A_2,V_a_2,T_b] :
% 163.96/163.60 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 163.96/163.60 => 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)) )
% 163.96/163.60 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 163.96/163.60 => 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) ) ) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_setsum__Un__nat,axiom,
% 163.96/163.60 ! [V_f_2,V_B_2,V_A_2,T_b] :
% 163.96/163.60 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.96/163.60 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 163.96/163.60 => 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))) ) ) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_transfer__int__nat__sum__prod_I1_J,axiom,
% 163.96/163.60 ! [V_f_2,V_A_2,T_b] :
% 163.96/163.60 ( ( class_Groups_Ocomm__monoid__add(T_b)
% 163.96/163.60 & class_Groups_Ocomm__monoid__mult(T_b) )
% 163.96/163.60 => ( c_Nat__Transfer_Onat__set(V_A_2)
% 163.96/163.60 => 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)) ) ) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_arith__series__nat,axiom,
% 163.96/163.60 ! [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)))) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_transfer__int__nat__sum__prod2_I1_J,axiom,
% 163.96/163.60 ! [V_f_2,V_A_2,T_b] :
% 163.96/163.60 ( ! [B_x] :
% 163.96/163.60 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 163.96/163.60 => c_Nat__Transfer_Ois__nat(hAPP(V_f_2,B_x)) )
% 163.96/163.60 => 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)) ) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_setsum__Sigma,axiom,
% 163.96/163.60 ! [V_f_2,V_B_2,T_c,V_A_2,T_b,T_d] :
% 163.96/163.60 ( class_Groups_Ocomm__monoid__add(T_d)
% 163.96/163.60 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.96/163.60 => ( ! [B_x] :
% 163.96/163.60 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 163.96/163.60 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(V_B_2,B_x))) )
% 163.96/163.60 => 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)) ) ) ) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_setsum__multicount,axiom,
% 163.96/163.60 ! [V_k_2,V_R_2,V_T_2,T_c,V_S_2,T_b] :
% 163.96/163.60 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 163.96/163.60 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_T_2))
% 163.96/163.60 => ( ! [B_x] :
% 163.96/163.60 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_T_2))
% 163.96/163.60 => 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 )
% 163.96/163.60 => 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)) ) ) ) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_card__SigmaI,axiom,
% 163.96/163.60 ! [V_B_2,T_c,V_A_2,T_b] :
% 163.96/163.60 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.96/163.60 => ( ! [B_x] :
% 163.96/163.60 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 163.96/163.60 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(V_B_2,B_x))) )
% 163.96/163.60 => 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) ) ) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_setsum_Ounion__inter__neutral,axiom,
% 163.96/163.60 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] :
% 163.96/163.60 ( class_Groups_Ocomm__monoid__add(T_c)
% 163.96/163.60 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.96/163.60 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 163.96/163.60 => ( ! [B_x] :
% 163.96/163.60 ( 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)))
% 163.96/163.60 => hAPP(V_g_2,B_x) = c_Groups_Ozero__class_Ozero(T_c) )
% 163.96/163.60 => 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)) ) ) ) ) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_setsum__Un__zero,axiom,
% 163.96/163.60 ! [V_f_2,V_T_2,V_S_2,T_b,T_c] :
% 163.96/163.60 ( class_Groups_Ocomm__monoid__add(T_c)
% 163.96/163.60 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 163.96/163.60 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_T_2))
% 163.96/163.60 => ( ! [B_x] :
% 163.96/163.60 ( 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)))
% 163.96/163.60 => hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(T_c) )
% 163.96/163.60 => 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)) ) ) ) ) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_setsum__mono3,axiom,
% 163.96/163.60 ! [V_f_2,V_A_2,V_B_2,T_b,T_c] :
% 163.96/163.60 ( ( class_Groups_Ocomm__monoid__add(T_c)
% 163.96/163.60 & class_Groups_Oordered__ab__semigroup__add(T_c) )
% 163.96/163.60 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 163.96/163.60 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 163.96/163.60 => ( ! [B_x] :
% 163.96/163.60 ( 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)))
% 163.96/163.60 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),c_Groups_Ozero__class_Ozero(T_c)),hAPP(V_f_2,B_x))) )
% 163.96/163.60 => 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))) ) ) ) ) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_UN__le__eq__Un0,axiom,
% 163.96/163.60 ! [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))) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_setsum__multicount__gen,axiom,
% 163.96/163.60 ! [V_k_2,V_R_2,V_t_2,T_c,V_s_2,T_b] :
% 163.96/163.60 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_s_2))
% 163.96/163.60 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_t_2))
% 163.96/163.60 => ( ! [B_x] :
% 163.96/163.60 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_t_2))
% 163.96/163.60 => 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) )
% 163.96/163.60 => 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) ) ) ) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_finite__atMost,axiom,
% 163.96/163.60 ! [V_k_2] : hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat),V_k_2))) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_atMost__eq__iff,axiom,
% 163.96/163.60 ! [V_y_2,V_x_2,T_b] :
% 163.96/163.60 ( class_Orderings_Olinorder(T_b)
% 163.96/163.60 => ( hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_x_2) = hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_y_2)
% 163.96/163.60 <=> V_x_2 = V_y_2 ) ) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_atLeast0AtMost,axiom,
% 163.96/163.60 ! [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) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_lessThan__Suc__atMost,axiom,
% 163.96/163.60 ! [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) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_card__atMost,axiom,
% 163.96/163.60 ! [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) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_atMost__Suc,axiom,
% 163.96/163.60 ! [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)) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_atMost__iff,axiom,
% 163.96/163.60 ! [V_k_2,V_i_2,T_b] :
% 163.96/163.60 ( class_Orderings_Oord(T_b)
% 163.96/163.60 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_k_2)))
% 163.96/163.60 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_i_2),V_k_2)) ) ) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_atMost__subset__iff,axiom,
% 163.96/163.60 ! [V_y_2,V_x_2,T_b] :
% 163.96/163.60 ( class_Orderings_Oorder(T_b)
% 163.96/163.60 => ( 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)))
% 163.96/163.60 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2)) ) ) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_UN__atMost__UNIV,axiom,
% 163.96/163.60 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)) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_setsum__atMost__Suc,axiom,
% 163.96/163.60 ! [V_n_2,V_f_2,T_b] :
% 163.96/163.60 ( class_Groups_Ocomm__monoid__add(T_b)
% 163.96/163.60 => 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))) ) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_atMost__0,axiom,
% 163.96/163.60 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))) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_Int__atLeastAtMostR1,axiom,
% 163.96/163.60 ! [V_d_2,V_c_2,V_b_2,T_b] :
% 163.96/163.60 ( class_Orderings_Olinorder(T_b)
% 163.96/163.60 => 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)) ) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_Int__atLeastAtMostL1,axiom,
% 163.96/163.60 ! [V_d_2,V_b_2,V_a_2,T_b] :
% 163.96/163.60 ( class_Orderings_Olinorder(T_b)
% 163.96/163.60 => 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)) ) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_ivl__disj__un_I9_J,axiom,
% 163.96/163.60 ! [V_u_2,V_l_2,T_b] :
% 163.96/163.60 ( class_Orderings_Olinorder(T_b)
% 163.96/163.60 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_u_2))
% 163.96/163.60 => 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) ) ) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_UN__le__add__shift,axiom,
% 163.96/163.60 ! [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) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_ivl__disj__int_I3_J,axiom,
% 163.96/163.60 ! [V_u_2,V_l_2,T_b] :
% 163.96/163.60 ( class_Orderings_Oorder(T_b)
% 163.96/163.60 => 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)) ) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_ivl__disj__int_I1_J,axiom,
% 163.96/163.60 ! [V_u_2,V_l_2,T_b] :
% 163.96/163.60 ( class_Orderings_Oorder(T_b)
% 163.96/163.60 => 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)) ) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_ivl__disj__un_I2_J,axiom,
% 163.96/163.60 ! [V_u_2,T_b] :
% 163.96/163.60 ( class_Orderings_Olinorder(T_b)
% 163.96/163.60 => 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) ) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_ivl__disj__un_I10_J,axiom,
% 163.96/163.60 ! [V_u_2,V_l_2,T_b] :
% 163.96/163.60 ( class_Orderings_Olinorder(T_b)
% 163.96/163.60 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_u_2))
% 163.96/163.60 => 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) ) ) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_ivl__disj__un_I7_J,axiom,
% 163.96/163.60 ! [V_u_2,V_l_2,T_b] :
% 163.96/163.60 ( class_Orderings_Olinorder(T_b)
% 163.96/163.60 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_l_2),V_u_2))
% 163.96/163.60 => 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) ) ) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_SetInterval_Otransfer__nat__int__set__functions_I1_J,axiom,
% 163.96/163.60 ! [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))) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_lex__def,axiom,
% 163.96/163.60 ! [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)) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_wf__lexn,axiom,
% 163.96/163.60 ! [V_n_2,V_r_2,T_b] :
% 163.96/163.60 ( c_Wellfounded_Owf(T_b,V_r_2)
% 163.96/163.60 => c_Wellfounded_Owf(tc_List_Olist(T_b),hAPP(c_List_Olexn(T_b,V_r_2),V_n_2)) ) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_setsum__nonneg__leq__bound,axiom,
% 163.96/163.60 ! [V_i_2,V_B_2,V_f_2,V_s_2,T_b,T_c] :
% 163.96/163.60 ( class_Groups_Oordered__ab__group__add(T_c)
% 163.96/163.60 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_s_2))
% 163.96/163.60 => ( ! [B_i] :
% 163.96/163.60 ( hBOOL(hAPP(hAPP(c_member(T_b),B_i),V_s_2))
% 163.96/163.60 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),c_Groups_Ozero__class_Ozero(T_c)),hAPP(V_f_2,B_i))) )
% 163.96/163.60 => ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_s_2) = V_B_2
% 163.96/163.60 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),V_s_2))
% 163.96/163.60 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(V_f_2,V_i_2)),V_B_2)) ) ) ) ) ) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_lexn_Osimps_I1_J,axiom,
% 163.96/163.60 ! [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)) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_setsum__nonneg__0,axiom,
% 163.96/163.60 ! [V_i_2,V_f_2,V_s_2,T_b,T_c] :
% 163.96/163.60 ( class_Groups_Oordered__ab__group__add(T_c)
% 163.96/163.60 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_s_2))
% 163.96/163.60 => ( ! [B_i] :
% 163.96/163.60 ( hBOOL(hAPP(hAPP(c_member(T_b),B_i),V_s_2))
% 163.96/163.60 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),c_Groups_Ozero__class_Ozero(T_c)),hAPP(V_f_2,B_i))) )
% 163.96/163.60 => ( 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)
% 163.96/163.60 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),V_s_2))
% 163.96/163.60 => hAPP(V_f_2,V_i_2) = c_Groups_Ozero__class_Ozero(T_c) ) ) ) ) ) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_greaterThan__0,axiom,
% 163.96/163.60 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))) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_sum__diff__distrib,axiom,
% 163.96/163.60 ! [V_n_2,V_P_2,V_Q_2] :
% 163.96/163.60 ( ! [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)))
% 163.96/163.60 => 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)) ) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_greaterThan__eq__iff,axiom,
% 163.96/163.60 ! [V_y_2,V_x_2,T_b] :
% 163.96/163.60 ( class_Orderings_Olinorder(T_b)
% 163.96/163.60 => ( hAPP(c_SetInterval_Oord__class_OgreaterThan(T_b),V_x_2) = hAPP(c_SetInterval_Oord__class_OgreaterThan(T_b),V_y_2)
% 163.96/163.60 <=> V_x_2 = V_y_2 ) ) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_greaterThan__iff,axiom,
% 163.96/163.60 ! [V_k_2,V_i_2,T_b] :
% 163.96/163.60 ( class_Orderings_Oord(T_b)
% 163.96/163.60 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),hAPP(c_SetInterval_Oord__class_OgreaterThan(T_b),V_k_2)))
% 163.96/163.60 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_k_2),V_i_2)) ) ) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_greaterThan__subset__iff,axiom,
% 163.96/163.60 ! [V_y_2,V_x_2,T_b] :
% 163.96/163.60 ( class_Orderings_Olinorder(T_b)
% 163.96/163.60 => ( 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)))
% 163.96/163.60 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_x_2)) ) ) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_Compl__atMost,axiom,
% 163.96/163.60 ! [V_k_2,T_b] :
% 163.96/163.60 ( class_Orderings_Olinorder(T_b)
% 163.96/163.60 => 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) ) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_Compl__greaterThan,axiom,
% 163.96/163.60 ! [V_k_2,T_b] :
% 163.96/163.60 ( class_Orderings_Olinorder(T_b)
% 163.96/163.60 => 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) ) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_INT__greaterThan__UNIV,axiom,
% 163.96/163.60 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)) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_ivl__disj__int_I7_J,axiom,
% 163.96/163.60 ! [V_u_2,V_l_2,T_b] :
% 163.96/163.60 ( class_Orderings_Oorder(T_b)
% 163.96/163.60 => 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)) ) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_ivl__disj__un_I11_J,axiom,
% 163.96/163.60 ! [V_u_2,V_l_2,T_b] :
% 163.96/163.60 ( class_Orderings_Olinorder(T_b)
% 163.96/163.60 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_u_2))
% 163.96/163.60 => 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) ) ) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_image__uminus__greaterThan,axiom,
% 163.96/163.60 ! [V_x_2,T_b] :
% 163.96/163.60 ( class_Groups_Oordered__ab__group__add(T_b)
% 163.96/163.60 => 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)) ) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_image__uminus__lessThan,axiom,
% 163.96/163.60 ! [V_x_2,T_b] :
% 163.96/163.60 ( class_Groups_Oordered__ab__group__add(T_b)
% 163.96/163.60 => 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)) ) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_ivl__disj__int_I5_J,axiom,
% 163.96/163.60 ! [V_u_2,V_l_2,T_b] :
% 163.96/163.60 ( class_Orderings_Oorder(T_b)
% 163.96/163.60 => 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)) ) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_greaterThan__Suc,axiom,
% 163.96/163.60 ! [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)))) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_ivl__disj__un_I12_J,axiom,
% 163.96/163.60 ! [V_u_2,V_l_2,T_b] :
% 163.96/163.60 ( class_Orderings_Olinorder(T_b)
% 163.96/163.60 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_l_2),V_u_2))
% 163.96/163.60 => 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) ) ) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_setsum__mono__zero__right,axiom,
% 163.96/163.60 ! [V_f_2,V_S_2,V_T_2,T_b,T_c] :
% 163.96/163.60 ( class_Groups_Ocomm__monoid__add(T_c)
% 163.96/163.60 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_T_2))
% 163.96/163.60 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_S_2),V_T_2))
% 163.96/163.60 => ( ! [B_x] :
% 163.96/163.60 ( 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)))
% 163.96/163.60 => hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(T_c) )
% 163.96/163.60 => 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) ) ) ) ) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_setsum__mono__zero__left,axiom,
% 163.96/163.60 ! [V_f_2,V_S_2,V_T_2,T_b,T_c] :
% 163.96/163.60 ( class_Groups_Ocomm__monoid__add(T_c)
% 163.96/163.60 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_T_2))
% 163.96/163.60 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_S_2),V_T_2))
% 163.96/163.60 => ( ! [B_x] :
% 163.96/163.60 ( 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)))
% 163.96/163.60 => hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(T_c) )
% 163.96/163.60 => 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) ) ) ) ) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_atLeast__eq__iff,axiom,
% 163.96/163.60 ! [V_y_2,V_x_2,T_b] :
% 163.96/163.60 ( class_Orderings_Olinorder(T_b)
% 163.96/163.60 => ( hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_x_2) = hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_y_2)
% 163.96/163.60 <=> V_x_2 = V_y_2 ) ) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_atLeast__iff,axiom,
% 163.96/163.60 ! [V_k_2,V_i_2,T_b] :
% 163.96/163.60 ( class_Orderings_Oord(T_b)
% 163.96/163.60 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_k_2)))
% 163.96/163.60 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_k_2),V_i_2)) ) ) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_atLeast__subset__iff,axiom,
% 163.96/163.60 ! [V_y_2,V_x_2,T_b] :
% 163.96/163.60 ( class_Orderings_Oorder(T_b)
% 163.96/163.60 => ( 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)))
% 163.96/163.60 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_x_2)) ) ) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_atLeast__0,axiom,
% 163.96/163.60 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)) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_Compl__lessThan,axiom,
% 163.96/163.60 ! [V_k_2,T_b] :
% 163.96/163.60 ( class_Orderings_Olinorder(T_b)
% 163.96/163.60 => 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) ) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_Compl__atLeast,axiom,
% 163.96/163.60 ! [V_k_2,T_b] :
% 163.96/163.60 ( class_Orderings_Olinorder(T_b)
% 163.96/163.60 => 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) ) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_atLeast__Suc__greaterThan,axiom,
% 163.96/163.60 ! [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) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_ivl__disj__un_I14_J,axiom,
% 163.96/163.60 ! [V_u_2,V_l_2,T_b] :
% 163.96/163.60 ( class_Orderings_Olinorder(T_b)
% 163.96/163.60 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_u_2))
% 163.96/163.60 => 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) ) ) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_ivl__disj__int_I8_J,axiom,
% 163.96/163.60 ! [V_u_2,V_l_2,T_b] :
% 163.96/163.60 ( class_Orderings_Oorder(T_b)
% 163.96/163.60 => 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)) ) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_Int__atLeastAtMostL2,axiom,
% 163.96/163.60 ! [V_c_2,V_b_2,V_a_2,T_b] :
% 163.96/163.60 ( class_Orderings_Olinorder(T_b)
% 163.96/163.60 => 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) ) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_Int__atLeastAtMostR2,axiom,
% 163.96/163.60 ! [V_d_2,V_c_2,V_a_2,T_b] :
% 163.96/163.60 ( class_Orderings_Olinorder(T_b)
% 163.96/163.60 => 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) ) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_UN__atLeast__UNIV,axiom,
% 163.96/163.60 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)) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_ivl__disj__int_I6_J,axiom,
% 163.96/163.60 ! [V_u_2,V_l_2,T_b] :
% 163.96/163.60 ( class_Orderings_Oorder(T_b)
% 163.96/163.60 => 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)) ) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_image__uminus__atMost,axiom,
% 163.96/163.60 ! [V_x_2,T_b] :
% 163.96/163.60 ( class_Groups_Oordered__ab__group__add(T_b)
% 163.96/163.60 => 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)) ) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_image__uminus__atLeast,axiom,
% 163.96/163.60 ! [V_x_2,T_b] :
% 163.96/163.60 ( class_Groups_Oordered__ab__group__add(T_b)
% 163.96/163.60 => 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)) ) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_atLeast__Suc,axiom,
% 163.96/163.60 ! [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)))) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_atMost__Int__atLeast,axiom,
% 163.96/163.60 ! [V_n_2,T_b] :
% 163.96/163.60 ( class_Orderings_Oorder(T_b)
% 163.96/163.60 => 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))) ) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_ivl__disj__un_I1_J,axiom,
% 163.96/163.60 ! [V_l_2,T_b] :
% 163.96/163.60 ( class_Orderings_Olinorder(T_b)
% 163.96/163.60 => 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) ) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_ivl__disj__un_I13_J,axiom,
% 163.96/163.60 ! [V_u_2,V_l_2,T_b] :
% 163.96/163.60 ( class_Orderings_Olinorder(T_b)
% 163.96/163.60 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_u_2))
% 163.96/163.60 => 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) ) ) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_setsum__strict__mono,axiom,
% 163.96/163.60 ! [V_g_2,V_f_2,V_A_2,T_b,T_c] :
% 163.96/163.60 ( ( class_Groups_Ocomm__monoid__add(T_c)
% 163.96/163.60 & class_Groups_Oordered__cancel__ab__semigroup__add(T_c) )
% 163.96/163.60 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.96/163.60 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.96/163.60 => ( ! [B_x] :
% 163.96/163.60 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 163.96/163.60 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),hAPP(V_f_2,B_x)),hAPP(V_g_2,B_x))) )
% 163.96/163.60 => 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))) ) ) ) ) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_field__le__mult__one__interval,axiom,
% 163.96/163.60 ! [V_y,V_x,T_a] :
% 163.96/163.60 ( class_Fields_Olinordered__field__inverse__zero(T_a)
% 163.96/163.60 => ( ! [B_z] :
% 163.96/163.60 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),B_z))
% 163.96/163.60 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),B_z),c_Groups_Oone__class_Oone(T_a)))
% 163.96/163.60 => 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)) ) )
% 163.96/163.60 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) ) ) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_transfer__nat__int__sum__prod__cong_I2_J,axiom,
% 163.96/163.60 ! [V_g_2,V_f_2,V_B_2,V_A_2,T_b] :
% 163.96/163.60 ( ( class_Groups_Ocomm__monoid__add(T_b)
% 163.96/163.60 & class_Groups_Ocomm__monoid__mult(T_b) )
% 163.96/163.60 => ( V_A_2 = V_B_2
% 163.96/163.60 => ( c_Nat__Transfer_Onat__set(V_B_2)
% 163.96/163.60 => ( ! [B_x] :
% 163.96/163.60 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x))
% 163.96/163.60 => hAPP(V_f_2,B_x) = hAPP(V_g_2,B_x) )
% 163.96/163.60 => 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) ) ) ) ) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_sgn__1__neg,axiom,
% 163.96/163.60 ! [V_a_2,T_b] :
% 163.96/163.60 ( class_Rings_Olinordered__idom(T_b)
% 163.96/163.60 => ( 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))
% 163.96/163.60 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_sgn__neg,axiom,
% 163.96/163.60 ! [V_a,T_a] :
% 163.96/163.60 ( class_Rings_Olinordered__idom(T_a)
% 163.96/163.60 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 163.96/163.60 => c_Groups_Osgn__class_Osgn(T_a,V_a) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Groups_Oone__class_Oone(T_a)) ) ) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_sgn__if,axiom,
% 163.96/163.60 ! [V_x,T_a] :
% 163.96/163.60 ( class_Groups_Osgn__if(T_a)
% 163.96/163.60 => ( ( V_x = c_Groups_Ozero__class_Ozero(T_a)
% 163.96/163.60 => c_Groups_Osgn__class_Osgn(T_a,V_x) = c_Groups_Ozero__class_Ozero(T_a) )
% 163.96/163.60 & ( V_x != c_Groups_Ozero__class_Ozero(T_a)
% 163.96/163.60 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 163.96/163.60 => c_Groups_Osgn__class_Osgn(T_a,V_x) = c_Groups_Oone__class_Oone(T_a) )
% 163.96/163.60 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 163.96/163.60 => c_Groups_Osgn__class_Osgn(T_a,V_x) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Groups_Oone__class_Oone(T_a)) ) ) ) ) ) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_sgn__times,axiom,
% 163.96/163.60 ! [V_b,V_a,T_a] :
% 163.96/163.60 ( class_Rings_Olinordered__idom(T_a)
% 163.96/163.60 => 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)) ) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_sgn__0__0,axiom,
% 163.96/163.60 ! [V_a_2,T_b] :
% 163.96/163.60 ( class_Rings_Olinordered__idom(T_b)
% 163.96/163.60 => ( c_Groups_Osgn__class_Osgn(T_b,V_a_2) = c_Groups_Ozero__class_Ozero(T_b)
% 163.96/163.60 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_sgn0,axiom,
% 163.96/163.60 ! [T_a] :
% 163.96/163.60 ( class_Groups_Osgn__if(T_a)
% 163.96/163.60 => c_Groups_Osgn__class_Osgn(T_a,c_Groups_Ozero__class_Ozero(T_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_sgn__sgn,axiom,
% 163.96/163.60 ! [V_a,T_a] :
% 163.96/163.60 ( class_Rings_Olinordered__idom(T_a)
% 163.96/163.60 => 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) ) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_sgn__greater,axiom,
% 163.96/163.60 ! [V_a_2,T_b] :
% 163.96/163.60 ( class_Rings_Olinordered__idom(T_b)
% 163.96/163.60 => ( 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)))
% 163.96/163.60 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_sgn__less,axiom,
% 163.96/163.60 ! [V_a_2,T_b] :
% 163.96/163.60 ( class_Rings_Olinordered__idom(T_b)
% 163.96/163.60 => ( 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)))
% 163.96/163.60 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_sgn__1__pos,axiom,
% 163.96/163.60 ! [V_a_2,T_b] :
% 163.96/163.60 ( class_Rings_Olinordered__idom(T_b)
% 163.96/163.60 => ( c_Groups_Osgn__class_Osgn(T_b,V_a_2) = c_Groups_Oone__class_Oone(T_b)
% 163.96/163.60 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_sgn__pos,axiom,
% 163.96/163.60 ! [V_a,T_a] :
% 163.96/163.60 ( class_Rings_Olinordered__idom(T_a)
% 163.96/163.60 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 163.96/163.60 => c_Groups_Osgn__class_Osgn(T_a,V_a) = c_Groups_Oone__class_Oone(T_a) ) ) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_zsgn__def,axiom,
% 163.96/163.60 ! [V_i] :
% 163.96/163.60 ( ( V_i = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 163.96/163.60 => c_Groups_Osgn__class_Osgn(tc_Int_Oint,V_i) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) )
% 163.96/163.60 & ( V_i != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 163.96/163.60 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_i))
% 163.96/163.60 => c_Groups_Osgn__class_Osgn(tc_Int_Oint,V_i) = c_Groups_Oone__class_Oone(tc_Int_Oint) )
% 163.96/163.60 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_i))
% 163.96/163.60 => 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)) ) ) ) ) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_code__numeral_Osimps_I5_J,axiom,
% 163.96/163.60 ! [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) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_decr__lemma,axiom,
% 163.96/163.60 ! [V_z,V_x,V_d] :
% 163.96/163.60 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_d))
% 163.96/163.60 => 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)) ) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_incr__lemma,axiom,
% 163.96/163.60 ! [V_x,V_z,V_d] :
% 163.96/163.60 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_d))
% 163.96/163.60 => 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)))) ) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_setsum__abs,axiom,
% 163.96/163.60 ! [V_A_2,V_f_2,T_c,T_b] :
% 163.96/163.60 ( class_Groups_Oordered__ab__group__add__abs(T_b)
% 163.96/163.60 => 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))) ) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_setsum__abs__ge__zero,axiom,
% 163.96/163.60 ! [V_A_2,V_f_2,T_c,T_b] :
% 163.96/163.60 ( class_Groups_Oordered__ab__group__add__abs(T_b)
% 163.96/163.60 => 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))) ) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_abs__minus__commute,axiom,
% 163.96/163.60 ! [V_b,V_a,T_a] :
% 163.96/163.60 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 163.96/163.60 => 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)) ) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_abs__triangle__ineq2__sym,axiom,
% 163.96/163.60 ! [V_b,V_a,T_a] :
% 163.96/163.60 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 163.96/163.60 => 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)))) ) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_abs__triangle__ineq2,axiom,
% 163.96/163.60 ! [V_b,V_a,T_a] :
% 163.96/163.60 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 163.96/163.60 => 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)))) ) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_abs__triangle__ineq3,axiom,
% 163.96/163.60 ! [V_b,V_a,T_a] :
% 163.96/163.60 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 163.96/163.60 => 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)))) ) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_abs__less__iff,axiom,
% 163.96/163.60 ! [V_b_2,V_a_2,T_b] :
% 163.96/163.60 ( class_Rings_Olinordered__idom(T_b)
% 163.96/163.60 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Groups_Oabs__class_Oabs(T_b),V_a_2)),V_b_2))
% 163.96/163.60 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2))
% 163.96/163.60 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2)),V_b_2)) ) ) ) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_nonzero__abs__divide,axiom,
% 163.96/163.60 ! [V_a,V_b,T_a] :
% 163.96/163.60 ( class_Fields_Olinordered__field(T_a)
% 163.96/163.60 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 163.96/163.60 => 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)) ) ) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_abs__ge__zero,axiom,
% 163.96/163.60 ! [V_a,T_a] :
% 163.96/163.60 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 163.96/163.60 => 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))) ) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_abs__le__zero__iff,axiom,
% 163.96/163.60 ! [V_a_2,T_b] :
% 163.96/163.60 ( class_Groups_Oordered__ab__group__add__abs(T_b)
% 163.96/163.60 => ( 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)))
% 163.96/163.60 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_abs__of__nonneg,axiom,
% 163.96/163.60 ! [V_a,T_a] :
% 163.96/163.60 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 163.96/163.60 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 163.96/163.60 => hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a) = V_a ) ) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_abs__not__less__zero,axiom,
% 163.96/163.60 ! [V_a,T_a] :
% 163.96/163.60 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 163.96/163.60 => ~ 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))) ) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_zero__less__abs__iff,axiom,
% 163.96/163.60 ! [V_a_2,T_b] :
% 163.96/163.60 ( class_Groups_Oordered__ab__group__add__abs(T_b)
% 163.96/163.60 => ( 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)))
% 163.96/163.60 <=> V_a_2 != c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_abs__of__pos,axiom,
% 163.96/163.60 ! [V_a,T_a] :
% 163.96/163.60 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 163.96/163.60 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 163.96/163.60 => hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a) = V_a ) ) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_abs__triangle__ineq,axiom,
% 163.96/163.60 ! [V_b,V_a,T_a] :
% 163.96/163.60 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 163.96/163.60 => 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)))) ) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_abs__mult__less,axiom,
% 163.96/163.60 ! [V_d,V_b,V_c,V_a,T_a] :
% 163.96/163.60 ( class_Rings_Olinordered__idom(T_a)
% 163.96/163.60 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),V_c))
% 163.96/163.60 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_b)),V_d))
% 163.96/163.60 => 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))) ) ) ) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_abs__divide,axiom,
% 163.96/163.60 ! [V_b,V_a,T_a] :
% 163.96/163.60 ( class_Fields_Olinordered__field__inverse__zero(T_a)
% 163.96/163.60 => 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)) ) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_abs__one,axiom,
% 163.96/163.60 ! [T_a] :
% 163.96/163.60 ( class_Rings_Olinordered__idom(T_a)
% 163.96/163.60 => hAPP(c_Groups_Oabs__class_Oabs(T_a),c_Groups_Oone__class_Oone(T_a)) = c_Groups_Oone__class_Oone(T_a) ) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_power__abs,axiom,
% 163.96/163.60 ! [V_n,V_a,T_a] :
% 163.96/163.60 ( class_Rings_Olinordered__idom(T_a)
% 163.96/163.60 => 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) ) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_abs__mult__self,axiom,
% 163.96/163.60 ! [V_a,T_a] :
% 163.96/163.60 ( class_Rings_Olinordered__idom(T_a)
% 163.96/163.60 => 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) ) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_abs__mult,axiom,
% 163.96/163.60 ! [V_b,V_a,T_a] :
% 163.96/163.60 ( class_Rings_Olinordered__idom(T_a)
% 163.96/163.60 => 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)) ) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_abs__add__abs,axiom,
% 163.96/163.60 ! [V_b,V_a,T_a] :
% 163.96/163.60 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 163.96/163.60 => 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)) ) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_abs__idempotent,axiom,
% 163.96/163.60 ! [V_a,T_a] :
% 163.96/163.60 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 163.96/163.60 => 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) ) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_abs__minus__cancel,axiom,
% 163.96/163.60 ! [V_a,T_a] :
% 163.96/163.60 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 163.96/163.60 => 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) ) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_abs__ge__self,axiom,
% 163.96/163.60 ! [V_a,T_a] :
% 163.96/163.60 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 163.96/163.60 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a))) ) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_abs__le__D1,axiom,
% 163.96/163.60 ! [V_b,V_a,T_a] :
% 163.96/163.60 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 163.96/163.60 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),V_b))
% 163.96/163.60 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) ) ) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_abs__int__eq,axiom,
% 163.96/163.60 ! [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) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_abs__of__nat,axiom,
% 163.96/163.60 ! [V_n,T_a] :
% 163.96/163.60 ( class_Rings_Olinordered__idom(T_a)
% 163.96/163.60 => 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) ) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_abs__eq__0,axiom,
% 163.96/163.60 ! [V_a_2,T_b] :
% 163.96/163.60 ( class_Groups_Oordered__ab__group__add__abs(T_b)
% 163.96/163.60 => ( hAPP(c_Groups_Oabs__class_Oabs(T_b),V_a_2) = c_Groups_Ozero__class_Ozero(T_b)
% 163.96/163.60 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_abs__zero,axiom,
% 163.96/163.60 ! [T_a] :
% 163.96/163.60 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 163.96/163.60 => hAPP(c_Groups_Oabs__class_Oabs(T_a),c_Groups_Ozero__class_Ozero(T_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_abs__setprod,axiom,
% 163.96/163.60 ! [V_A_2,V_f_2,T_c,T_b] :
% 163.96/163.60 ( class_Fields_Olinordered__field(T_b)
% 163.96/163.60 => 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) ) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_abs__le__D2,axiom,
% 163.96/163.60 ! [V_b,V_a,T_a] :
% 163.96/163.60 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 163.96/163.60 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),V_b))
% 163.96/163.60 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a)),V_b)) ) ) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_abs__leI,axiom,
% 163.96/163.60 ! [V_b,V_a,T_a] :
% 163.96/163.60 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 163.96/163.60 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 163.96/163.60 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a)),V_b))
% 163.96/163.60 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),V_b)) ) ) ) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_abs__le__iff,axiom,
% 163.96/163.60 ! [V_b_2,V_a_2,T_b] :
% 163.96/163.60 ( class_Groups_Oordered__ab__group__add__abs(T_b)
% 163.96/163.60 => ( 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))
% 163.96/163.60 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2))
% 163.96/163.60 & 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)) ) ) ) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_abs__ge__minus__self,axiom,
% 163.96/163.60 ! [V_a,T_a] :
% 163.96/163.60 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 163.96/163.60 => 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))) ) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_abs__power__minus,axiom,
% 163.96/163.60 ! [V_n,V_a,T_a] :
% 163.96/163.60 ( class_Rings_Olinordered__idom(T_a)
% 163.96/163.60 => 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)) ) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_abs__setsum__abs,axiom,
% 163.96/163.60 ! [V_A_2,V_f_2,T_c,T_b] :
% 163.96/163.60 ( class_Groups_Oordered__ab__group__add__abs(T_b)
% 163.96/163.60 => 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) ) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_abs__zmult__eq__1,axiom,
% 163.96/163.60 ! [V_n,V_m] :
% 163.96/163.60 ( 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)
% 163.96/163.60 => hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_m) = c_Groups_Oone__class_Oone(tc_Int_Oint) ) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_mult__sgn__abs,axiom,
% 163.96/163.60 ! [V_x,T_a] :
% 163.96/163.60 ( class_Rings_Olinordered__idom(T_a)
% 163.96/163.60 => 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 ) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_abs__sgn,axiom,
% 163.96/163.60 ! [V_k,T_a] :
% 163.96/163.60 ( class_Rings_Olinordered__idom(T_a)
% 163.96/163.60 => 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)) ) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_abs__eq__mult,axiom,
% 163.96/163.60 ! [V_b,V_a,T_a] :
% 163.96/163.60 ( class_Rings_Oordered__ring__abs(T_a)
% 163.96/163.60 => ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 163.96/163.60 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))) )
% 163.96/163.60 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 163.96/163.60 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a))) ) )
% 163.96/163.60 => 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)) ) ) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_abs__mult__pos,axiom,
% 163.96/163.60 ! [V_y,V_x,T_a] :
% 163.96/163.60 ( class_Rings_Olinordered__idom(T_a)
% 163.96/163.60 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 163.96/163.60 => 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)) ) ) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_abs__diff__triangle__ineq,axiom,
% 163.96/163.60 ! [V_d,V_c,V_b,V_a,T_a] :
% 163.96/163.60 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 163.96/163.60 => 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))))) ) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_abs__triangle__ineq4,axiom,
% 163.96/163.60 ! [V_b,V_a,T_a] :
% 163.96/163.60 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 163.96/163.60 => 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)))) ) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_abs__minus__le__zero,axiom,
% 163.96/163.60 ! [V_a,T_a] :
% 163.96/163.60 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 163.96/163.60 => 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))) ) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_abs__of__nonpos,axiom,
% 163.96/163.60 ! [V_a,T_a] :
% 163.96/163.60 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 163.96/163.60 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 163.96/163.60 => hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a) ) ) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_abs__of__neg,axiom,
% 163.96/163.60 ! [V_a,T_a] :
% 163.96/163.60 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 163.96/163.60 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 163.96/163.60 => hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a) ) ) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_abs__if,axiom,
% 163.96/163.60 ! [V_a,T_a] :
% 163.96/163.60 ( class_Groups_Oabs__if(T_a)
% 163.96/163.60 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 163.96/163.60 => hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a) )
% 163.96/163.60 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 163.96/163.60 => hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a) = V_a ) ) ) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_zero__le__power__abs,axiom,
% 163.96/163.60 ! [V_n,V_a,T_a] :
% 163.96/163.60 ( class_Rings_Olinordered__idom(T_a)
% 163.96/163.60 => 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))) ) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_abs__div__pos,axiom,
% 163.96/163.60 ! [V_x,V_y,T_a] :
% 163.96/163.60 ( class_Fields_Olinordered__field__inverse__zero(T_a)
% 163.96/163.60 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 163.96/163.60 => 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)) ) ) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_abs__minus__one,axiom,
% 163.96/163.60 ! [T_a] :
% 163.96/163.60 ( ( class_Int_Onumber__ring(T_a)
% 163.96/163.60 & class_Rings_Olinordered__idom(T_a) )
% 163.96/163.60 => 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) ) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_zabs__less__one__iff,axiom,
% 163.96/163.60 ! [V_z_2] :
% 163.96/163.60 ( 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)))
% 163.96/163.60 <=> V_z_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_zabs__def,axiom,
% 163.96/163.60 ! [V_i] :
% 163.96/163.60 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_i),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 163.96/163.60 => hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_i) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_i) )
% 163.96/163.60 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_i),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 163.96/163.60 => hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_i) = V_i ) ) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_nat__abs__mult__distrib,axiom,
% 163.96/163.60 ! [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))) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_zero__le__zpower__abs,axiom,
% 163.96/163.60 ! [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))) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_abs__number__of,axiom,
% 163.96/163.60 ! [V_x,T_a] :
% 163.96/163.60 ( ( class_Int_Onumber__ring(T_a)
% 163.96/163.60 & class_Rings_Olinordered__idom(T_a) )
% 163.96/163.60 => ( ( 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)))
% 163.96/163.60 => 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)) )
% 163.96/163.60 & ( ~ 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)))
% 163.96/163.60 => 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) ) ) ) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_abs__power__minus__one,axiom,
% 163.96/163.60 ! [V_n,T_a] :
% 163.96/163.60 ( ( class_Int_Onumber__ring(T_a)
% 163.96/163.60 & class_Rings_Olinordered__idom(T_a) )
% 163.96/163.60 => 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) ) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_zero__less__zpower__abs__iff,axiom,
% 163.96/163.60 ! [V_n_2,V_x_2] :
% 163.96/163.60 ( 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)))
% 163.96/163.60 <=> ( V_x_2 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 163.96/163.60 | V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_abs__power2,axiom,
% 163.96/163.60 ! [V_a,T_a] :
% 163.96/163.60 ( class_Rings_Olinordered__idom(T_a)
% 163.96/163.60 => 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)))) ) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_power2__abs,axiom,
% 163.96/163.60 ! [V_a,T_a] :
% 163.96/163.60 ( class_Rings_Olinordered__idom(T_a)
% 163.96/163.60 => 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)))) ) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_code__numeral_Osimps_I4_J,axiom,
% 163.96/163.60 ! [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 ).
% 163.96/163.60
% 163.96/163.60 fof(fact_divmod__int__pdivmod,axiom,
% 163.96/163.60 ! [V_l_2,V_k_2] :
% 163.96/163.60 ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 163.96/163.60 => 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)) )
% 163.96/163.60 & ( V_k_2 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 163.96/163.60 => ( ( V_l_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 163.96/163.60 => 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) )
% 163.96/163.60 & ( V_l_2 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 163.96/163.60 => 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)))) ) ) ) ) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_Nitpick_Oint__gcd__def,axiom,
% 163.96/163.60 ! [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)))) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_divmod__int__code,axiom,
% 163.96/163.60 ! [V_l_2,V_k_2] :
% 163.96/163.60 ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 163.96/163.60 => 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)) )
% 163.96/163.60 & ( V_k_2 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 163.96/163.60 => ( ( V_l_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 163.96/163.60 => 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) )
% 163.96/163.60 & ( V_l_2 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 163.96/163.60 => 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)))) ) ) ) ) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_snd__apsnd,axiom,
% 163.96/163.60 ! [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)) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_apsnd__eq__conv,axiom,
% 163.96/163.60 ! [V_g_2,V_x_2,V_f_2,T_b,T_c,T_d] :
% 163.96/163.60 ( 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)
% 163.96/163.60 <=> 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)) ) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_apsnd__conv,axiom,
% 163.96/163.60 ! [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)) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_fst__apsnd,axiom,
% 163.96/163.60 ! [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) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_negateSnd__def,axiom,
% 163.96/163.60 c_Divides_OnegateSnd = c_Product__Type_Oapsnd(tc_Int_Oint,tc_Int_Oint,tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint)) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_apsnd__def,axiom,
% 163.96/163.60 ! [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) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_apsnd__id,axiom,
% 163.96/163.60 ! [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)) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_nat__gcd_Osimps,axiom,
% 163.96/163.60 ! [V_x,V_y] :
% 163.96/163.60 ( ( V_y = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 163.96/163.60 => c_Nitpick_Onat__gcd(V_x,V_y) = V_x )
% 163.96/163.60 & ( V_y != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 163.96/163.60 => 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)) ) ) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_pdivmod__def,axiom,
% 163.96/163.60 ! [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))) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_pdivmod__posDivAlg,axiom,
% 163.96/163.60 ! [V_k,V_l] :
% 163.96/163.60 ( ( V_l = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 163.96/163.60 => 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)) )
% 163.96/163.60 & ( V_l != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 163.96/163.60 => 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)) ) ) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_nat__gcd_Opsimps,axiom,
% 163.96/163.60 ! [V_y_2,V_x_2] :
% 163.96/163.60 ( 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)))
% 163.96/163.60 => ( ( V_y_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 163.96/163.60 => c_Nitpick_Onat__gcd(V_x_2,V_y_2) = V_x_2 )
% 163.96/163.60 & ( V_y_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 163.96/163.60 => 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)) ) ) ) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_Nitpick_Onat__lcm__def,axiom,
% 163.96/163.60 ! [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)) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_Nitpick_Oint__lcm__def,axiom,
% 163.96/163.60 ! [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)))) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_nat__gcd_Opinduct,axiom,
% 163.96/163.60 ! [V_P_2,V_a1_2,V_a0_2] :
% 163.96/163.60 ( 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)))
% 163.96/163.60 => ( ! [B_x,B_y] :
% 163.96/163.60 ( 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)))
% 163.96/163.60 => ( ( B_y != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 163.96/163.60 => hBOOL(hAPP(hAPP(V_P_2,B_y),c_Divides_Odiv__class_Omod(tc_Nat_Onat,B_x,B_y))) )
% 163.96/163.60 => hBOOL(hAPP(hAPP(V_P_2,B_x),B_y)) ) )
% 163.96/163.60 => hBOOL(hAPP(hAPP(V_P_2,V_a0_2),V_a1_2)) ) ) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_apsnd__apfst,axiom,
% 163.96/163.60 ! [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))) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_apfst__apsnd,axiom,
% 163.96/163.60 ! [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))) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_apsnd__apfst__commute,axiom,
% 163.96/163.60 ! [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)) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_apfst__conv,axiom,
% 163.96/163.60 ! [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) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_snd__apfst,axiom,
% 163.96/163.60 ! [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) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_fst__apfst,axiom,
% 163.96/163.60 ! [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)) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_apfst__eq__conv,axiom,
% 163.96/163.60 ! [V_g_2,V_x_2,V_f_2,T_c,T_b,T_d] :
% 163.96/163.60 ( 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)
% 163.96/163.60 <=> 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)) ) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_apfst__def,axiom,
% 163.96/163.60 ! [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)) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_apfst__id,axiom,
% 163.96/163.60 ! [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)) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_transfer__nat__int__sum__prod__cong_I1_J,axiom,
% 163.96/163.60 ! [V_g_2,V_f_2,V_B_2,V_A_2,T_b] :
% 163.96/163.60 ( ( class_Groups_Ocomm__monoid__add(T_b)
% 163.96/163.60 & class_Groups_Ocomm__monoid__mult(T_b) )
% 163.96/163.60 => ( V_A_2 = V_B_2
% 163.96/163.60 => ( c_Nat__Transfer_Onat__set(V_B_2)
% 163.96/163.60 => ( ! [B_x] :
% 163.96/163.60 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x))
% 163.96/163.60 => hAPP(V_f_2,B_x) = hAPP(V_g_2,B_x) )
% 163.96/163.60 => 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) ) ) ) ) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_accp__acc__eq,axiom,
% 163.96/163.60 ! [V_x_2,V_r_2,T_b] :
% 163.96/163.60 ( 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))
% 163.96/163.60 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),c_Wellfounded_Oacc(T_b,V_r_2))) ) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_Nitpick_Ozero__frac__def,axiom,
% 163.96/163.60 ! [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))) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_wf__acc__iff,axiom,
% 163.96/163.60 ! [V_r_2,T_b] :
% 163.96/163.60 ( c_Wellfounded_Owf(T_b,V_r_2)
% 163.96/163.60 <=> ! [B_x] : hBOOL(hAPP(hAPP(c_member(T_b),B_x),c_Wellfounded_Oacc(T_b,V_r_2))) ) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_acc__wfD,axiom,
% 163.96/163.60 ! [V_x_2,V_r_2,T_b] :
% 163.96/163.60 ( c_Wellfounded_Owf(T_b,V_r_2)
% 163.96/163.60 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),c_Wellfounded_Oacc(T_b,V_r_2))) ) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_acc__subset,axiom,
% 163.96/163.60 ! [V_R2_2,V_R1_2,T_b] :
% 163.96/163.60 ( 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))
% 163.96/163.60 => 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))) ) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_acc__downward,axiom,
% 163.96/163.60 ! [V_a_2,V_r_2,V_b_2,T_b] :
% 163.96/163.60 ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),c_Wellfounded_Oacc(T_b,V_r_2)))
% 163.96/163.60 => ( 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))
% 163.96/163.60 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Wellfounded_Oacc(T_b,V_r_2))) ) ) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_acc_Osimps,axiom,
% 163.96/163.60 ! [V_r_2,V_a_2,T_b] :
% 163.96/163.60 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Wellfounded_Oacc(T_b,V_r_2)))
% 163.96/163.60 <=> ! [B_x] :
% 163.96/163.60 ( 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))
% 163.96/163.60 => hBOOL(hAPP(hAPP(c_member(T_b),B_x),c_Wellfounded_Oacc(T_b,V_r_2))) ) ) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_Nitpick_Oone__frac__def,axiom,
% 163.96/163.60 ! [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))) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_Nitpick_Onumber__of__frac__def,axiom,
% 163.96/163.60 ! [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))) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_Nitpick_Ofrac__def,axiom,
% 163.96/163.60 ! [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)) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_refl__on__def,axiom,
% 163.96/163.60 ! [V_r_2,V_A_2,T_b] :
% 163.96/163.60 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2)
% 163.96/163.60 <=> ( 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))))
% 163.96/163.60 & ! [B_x] :
% 163.96/163.60 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 163.96/163.60 => 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)) ) ) ) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_int__val__lemma,axiom,
% 163.96/163.60 ! [V_k_2,V_f_2,V_n_2] :
% 163.96/163.60 ( ! [B_i] :
% 163.96/163.60 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),V_n_2))
% 163.96/163.60 => 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))) )
% 163.96/163.60 => ( 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))
% 163.96/163.60 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),hAPP(V_f_2,V_n_2)))
% 163.96/163.60 => ? [B_i] :
% 163.96/163.60 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_i),V_n_2))
% 163.96/163.60 & hAPP(V_f_2,B_i) = V_k_2 ) ) ) ) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_nat0__intermed__int__val,axiom,
% 163.96/163.60 ! [V_k_2,V_f_2,V_n_2] :
% 163.96/163.60 ( ! [B_i] :
% 163.96/163.60 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),V_n_2))
% 163.96/163.60 => 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))) )
% 163.96/163.60 => ( 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))
% 163.96/163.60 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),hAPP(V_f_2,V_n_2)))
% 163.96/163.60 => ? [B_i] :
% 163.96/163.60 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_i),V_n_2))
% 163.96/163.60 & hAPP(V_f_2,B_i) = V_k_2 ) ) ) ) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_refl__on__converse,axiom,
% 163.96/163.60 ! [V_r_2,V_A_2,T_b] :
% 163.96/163.60 ( c_Relation_Orefl__on(T_b,V_A_2,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2))
% 163.96/163.60 <=> c_Relation_Orefl__on(T_b,V_A_2,V_r_2) ) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_refl__on__Id__on,axiom,
% 163.96/163.60 ! [V_A_2,T_b] : c_Relation_Orefl__on(T_b,V_A_2,c_Relation_OId__on(T_b,V_A_2)) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_refl__on__empty,axiom,
% 163.96/163.60 ! [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))) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_refl__on__Un,axiom,
% 163.96/163.60 ! [V_s_2,V_B_2,V_r_2,V_A_2,T_b] :
% 163.96/163.60 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2)
% 163.96/163.60 => ( c_Relation_Orefl__on(T_b,V_B_2,V_s_2)
% 163.96/163.60 => 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)) ) ) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_refl__Id,axiom,
% 163.96/163.60 ! [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)) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_refl__on__Int,axiom,
% 163.96/163.60 ! [V_s_2,V_B_2,V_r_2,V_A_2,T_b] :
% 163.96/163.60 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2)
% 163.96/163.60 => ( c_Relation_Orefl__on(T_b,V_B_2,V_s_2)
% 163.96/163.60 => 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)) ) ) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_refl__onD,axiom,
% 163.96/163.60 ! [V_a_2,V_r_2,V_A_2,T_b] :
% 163.96/163.60 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2)
% 163.96/163.60 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 163.96/163.60 => 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)) ) ) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_refl__onD1,axiom,
% 163.96/163.60 ! [V_y_2,V_x_2,V_r_2,V_A_2,T_b] :
% 163.96/163.60 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2)
% 163.96/163.60 => ( 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))
% 163.96/163.60 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) ) ) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_refl__onD2,axiom,
% 163.96/163.60 ! [V_y_2,V_x_2,V_r_2,V_A_2,T_b] :
% 163.96/163.60 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2)
% 163.96/163.60 => ( 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))
% 163.96/163.60 => hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2)) ) ) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_refl__on__comp__subset,axiom,
% 163.96/163.60 ! [V_r_2,V_A_2,T_b] :
% 163.96/163.60 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2)
% 163.96/163.60 => 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))) ) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_refl__reflcl,axiom,
% 163.96/163.60 ! [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))) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_reflp__def,axiom,
% 163.96/163.60 ! [V_r_2,T_b] :
% 163.96/163.60 ( c_Predicate_Oreflp(T_b,V_r_2)
% 163.96/163.60 <=> 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))) ) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_refl__onI,axiom,
% 163.96/163.60 ! [V_A_2,V_r_2,T_b] :
% 163.96/163.60 ( 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))))
% 163.96/163.60 => ( ! [B_x] :
% 163.96/163.60 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 163.96/163.60 => 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)) )
% 163.96/163.60 => c_Relation_Orefl__on(T_b,V_A_2,V_r_2) ) ) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_setprod__pos__nat,axiom,
% 163.96/163.60 ! [V_f_2,V_S_2,T_b] :
% 163.96/163.60 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 163.96/163.60 => ( ! [B_x] :
% 163.96/163.60 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_S_2))
% 163.96/163.60 => 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))) )
% 163.96/163.60 => 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))) ) ) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_reflpE,axiom,
% 163.96/163.60 ! [V_x_2,V_r_2,T_b] :
% 163.96/163.60 ( c_Predicate_Oreflp(T_b,V_r_2)
% 163.96/163.60 => hBOOL(hAPP(hAPP(V_r_2,V_x_2),V_x_2)) ) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_Rep__Integ__cases,axiom,
% 163.96/163.60 ! [V_y_2] :
% 163.96/163.60 ( hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),V_y_2),c_Int_OInteg))
% 163.96/163.60 => ~ ! [B_x] : V_y_2 != hAPP(c_Int_ORep__Integ,B_x) ) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_Rep__Integ__induct,axiom,
% 163.96/163.60 ! [V_P_2,V_y_2] :
% 163.96/163.60 ( hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),V_y_2),c_Int_OInteg))
% 163.96/163.60 => ( ! [B_x] : hBOOL(hAPP(V_P_2,hAPP(c_Int_ORep__Integ,B_x)))
% 163.96/163.60 => hBOOL(hAPP(V_P_2,V_y_2)) ) ) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_folding__image__simple_Ounion__inter__neutral,axiom,
% 163.96/163.60 ! [V_B_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] :
% 163.96/163.60 ( c_Finite__Set_Ofolding__image__simple(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2)
% 163.96/163.60 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 163.96/163.60 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2))
% 163.96/163.60 => ( ! [B_x] :
% 163.96/163.60 ( 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)))
% 163.96/163.60 => hAPP(V_g_2,B_x) = V_z_2 )
% 163.96/163.60 => 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)) ) ) ) ) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_pigeonhole__infinite,axiom,
% 163.96/163.60 ! [V_f_2,T_c,V_A_2,T_b] :
% 163.96/163.60 ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.96/163.60 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)))
% 163.96/163.60 => ? [B_x] :
% 163.96/163.60 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 163.96/163.60 & ~ 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)))))) ) ) ) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_refl__on__def_H,axiom,
% 163.96/163.60 ! [V_r_2,V_A_2,T_b] :
% 163.96/163.60 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2)
% 163.96/163.60 <=> ( ! [B_x] :
% 163.96/163.60 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),B_x),V_r_2))
% 163.96/163.60 => 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)) )
% 163.96/163.60 & ! [B_x] :
% 163.96/163.60 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 163.96/163.60 => 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)) ) ) ) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_Abs__Integ__cases,axiom,
% 163.96/163.60 ! [V_x_2] :
% 163.96/163.60 ~ ! [B_y] :
% 163.96/163.60 ( V_x_2 = hAPP(c_Int_OAbs__Integ,B_y)
% 163.96/163.60 => ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),B_y),c_Int_OInteg)) ) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_ball__empty,axiom,
% 163.96/163.60 ! [V_P_2,T_b,B_x] :
% 163.96/163.60 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))
% 163.96/163.60 => hBOOL(hAPP(V_P_2,B_x)) ) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_INFI__bool__eq,axiom,
% 163.96/163.60 ! [T_b] : c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_HOL_Obool) = c_Set_OBall(T_b) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_Powp__def,axiom,
% 163.96/163.60 ! [V_B_2,V_A_2,T_b] :
% 163.96/163.60 ( hBOOL(hAPP(c_Predicate_OPowp(T_b,V_A_2),V_B_2))
% 163.96/163.60 <=> ! [B_x] :
% 163.96/163.60 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_B_2))
% 163.96/163.60 => hBOOL(hAPP(V_A_2,B_x)) ) ) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_Collect__ball__eq,axiom,
% 163.96/163.60 ! [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))) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_congruent__def,axiom,
% 163.96/163.60 ! [V_f_2,V_r_2,T_c,T_b] :
% 163.96/163.60 ( c_Equiv__Relations_Ocongruent(T_b,T_c,V_r_2,V_f_2)
% 163.96/163.60 <=> ! [B_x] :
% 163.96/163.60 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),B_x),V_r_2))
% 163.96/163.60 => 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)) ) ) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_INTER__def,axiom,
% 163.96/163.60 ! [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)))) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_Sup__Inf,axiom,
% 163.96/163.60 ! [V_A_2,T_b] :
% 163.96/163.60 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 163.96/163.60 => 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)))))) ) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_Inf__Sup,axiom,
% 163.96/163.60 ! [V_A_2,T_b] :
% 163.96/163.60 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 163.96/163.60 => 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))))) ) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_Abs__Integ__induct,axiom,
% 163.96/163.60 ! [V_x_2,V_P_2] :
% 163.96/163.60 ( ! [B_y] :
% 163.96/163.60 ( hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),B_y),c_Int_OInteg))
% 163.96/163.60 => hBOOL(hAPP(V_P_2,hAPP(c_Int_OAbs__Integ,B_y))) )
% 163.96/163.60 => hBOOL(hAPP(V_P_2,V_x_2)) ) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_finite__UN__I,axiom,
% 163.96/163.60 ! [V_B_2,T_c,V_A_2,T_b] :
% 163.96/163.60 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.96/163.60 => ( ! [B_a] :
% 163.96/163.60 ( hBOOL(hAPP(hAPP(c_member(T_b),B_a),V_A_2))
% 163.96/163.60 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(V_B_2,B_a))) )
% 163.96/163.60 => 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))) ) ) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_inj__on__diff__nat,axiom,
% 163.96/163.60 ! [V_k_2,V_N_2] :
% 163.96/163.60 ( ! [B_x] :
% 163.96/163.60 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_x),V_N_2))
% 163.96/163.60 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),B_x)) )
% 163.96/163.60 => 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) ) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_Inter__eq,axiom,
% 163.96/163.60 ! [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)))) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_mem__splitE,axiom,
% 163.96/163.60 ! [V_p_2,V_c_2,T_d,T_c,V_z_2,T_b] :
% 163.96/163.60 ( 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)))
% 163.96/163.60 => ~ ! [B_x,B_y] :
% 163.96/163.60 ( V_p_2 = hAPP(hAPP(c_Product__Type_OPair(T_c,T_d),B_x),B_y)
% 163.96/163.60 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_z_2),hAPP(hAPP(V_c_2,B_x),B_y))) ) ) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_mem__splitI2,axiom,
% 163.96/163.60 ! [V_c_2,V_z_2,T_d,T_c,T_b,V_p_2] :
% 163.96/163.60 ( ! [B_a,B_b] :
% 163.96/163.60 ( V_p_2 = hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),B_a),B_b)
% 163.96/163.60 => hBOOL(hAPP(hAPP(c_member(T_d),V_z_2),hAPP(hAPP(V_c_2,B_a),B_b))) )
% 163.96/163.60 => 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))) ) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_vimage__Times,axiom,
% 163.96/163.60 ! [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)) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_apsnd__compose,axiom,
% 163.96/163.60 ! [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) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_o__eq__id__dest,axiom,
% 163.96/163.60 ! [V_v_2,V_c_2,V_b_2,V_a_2,T_b,T_c,T_d] :
% 163.96/163.60 ( 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)
% 163.96/163.60 => hAPP(V_a_2,hAPP(V_b_2,V_v_2)) = hAPP(V_c_2,V_v_2) ) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_o__id,axiom,
% 163.96/163.60 ! [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 ).
% 163.96/163.60
% 163.96/163.60 fof(fact_id__o,axiom,
% 163.96/163.60 ! [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 ).
% 163.96/163.60
% 163.96/163.60 fof(fact_inj__comp,axiom,
% 163.96/163.60 ! [V_g_2,T_d,V_f_2,T_c,T_b] :
% 163.96/163.60 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 163.96/163.60 => ( c_Fun_Oinj__on(T_d,T_b,V_g_2,c_Orderings_Otop__class_Otop(tc_fun(T_d,tc_HOL_Obool)))
% 163.96/163.60 => 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))) ) ) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_inj__on__imageI,axiom,
% 163.96/163.60 ! [V_A_2,V_f_2,V_g_2,T_d,T_c,T_b] :
% 163.96/163.60 ( 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)
% 163.96/163.60 => 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)) ) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_comp__inj__on,axiom,
% 163.96/163.60 ! [V_g_2,T_d,V_A_2,V_f_2,T_c,T_b] :
% 163.96/163.60 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 163.96/163.60 => ( 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))
% 163.96/163.60 => 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) ) ) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_comp__inj__on__iff,axiom,
% 163.96/163.60 ! [V_f_H_2,T_d,V_A_2,V_f_2,T_c,T_b] :
% 163.96/163.60 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 163.96/163.60 => ( 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))
% 163.96/163.60 <=> 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) ) ) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_map__pair_Ocomp,axiom,
% 163.96/163.60 ! [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)) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_map__pair__compose,axiom,
% 163.96/163.60 ! [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)) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_map__pair_Ocompositionality,axiom,
% 163.96/163.60 ! [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) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_fun__left__comm__idem_Ofun__comp__idem,axiom,
% 163.96/163.60 ! [V_x_2,V_f_2,T_c,T_b] :
% 163.96/163.60 ( c_Finite__Set_Ofun__left__comm__idem(T_b,T_c,V_f_2)
% 163.96/163.60 => 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) ) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_fun__upd__comp,axiom,
% 163.96/163.60 ! [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)) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_o__eq__dest__lhs,axiom,
% 163.96/163.60 ! [V_v_2,V_c_2,V_b_2,V_a_2,T_b,T_c,T_d] :
% 163.96/163.60 ( hAPP(c_Fun_Ocomp(T_d,T_c,T_b,V_a_2),V_b_2) = V_c_2
% 163.96/163.60 => hAPP(V_a_2,hAPP(V_b_2,V_v_2)) = hAPP(V_c_2,V_v_2) ) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_comp__cong,axiom,
% 163.96/163.60 ! [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] :
% 163.96/163.60 ( 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))
% 163.96/163.60 => 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) ) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_o__eq__elim,axiom,
% 163.96/163.60 ! [V_d_2,V_c_2,T_e,V_b_2,V_a_2,T_b,T_c,T_d] :
% 163.96/163.60 ( 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)
% 163.96/163.60 => ! [B_v] : hAPP(V_a_2,hAPP(V_b_2,B_v)) = hAPP(V_c_2,hAPP(V_d_2,B_v)) ) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_o__eq__dest,axiom,
% 163.96/163.60 ! [V_v_2,V_d_2,V_c_2,T_e,V_b_2,V_a_2,T_b,T_c,T_d] :
% 163.96/163.60 ( 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)
% 163.96/163.60 => hAPP(V_a_2,hAPP(V_b_2,V_v_2)) = hAPP(V_c_2,hAPP(V_d_2,V_v_2)) ) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_o__apply,axiom,
% 163.96/163.60 ! [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)) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_o__assoc,axiom,
% 163.96/163.60 ! [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) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_o__def,axiom,
% 163.96/163.60 ! [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)) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_K__record__comp,axiom,
% 163.96/163.60 ! [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 ).
% 163.96/163.60
% 163.96/163.60 fof(fact_vimage__compose,axiom,
% 163.96/163.60 ! [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)) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_image__compose,axiom,
% 163.96/163.60 ! [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)) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_comp__surj,axiom,
% 163.96/163.60 ! [V_g_2,T_d,V_f_2,T_b,T_c] :
% 163.96/163.60 ( 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))
% 163.96/163.60 => ( 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))
% 163.96/163.60 => 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)) ) ) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_inj__on__imageI2,axiom,
% 163.96/163.60 ! [V_A_2,V_f_2,V_f_H_2,T_d,T_c,T_b] :
% 163.96/163.60 ( 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)
% 163.96/163.60 => c_Fun_Oinj__on(T_b,T_d,V_f_2,V_A_2) ) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_apfst__compose,axiom,
% 163.96/163.60 ! [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) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_setsum__reindex,axiom,
% 163.96/163.60 ! [V_h_2,V_B_2,V_f_2,T_c,T_b,T_d] :
% 163.96/163.60 ( class_Groups_Ocomm__monoid__add(T_d)
% 163.96/163.60 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_B_2)
% 163.96/163.60 => 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) ) ) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_setprod__reindex,axiom,
% 163.96/163.60 ! [V_h_2,V_B_2,V_f_2,T_c,T_b,T_d] :
% 163.96/163.60 ( class_Groups_Ocomm__monoid__mult(T_d)
% 163.96/163.60 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_B_2)
% 163.96/163.60 => 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) ) ) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_setprod__reindex__cong,axiom,
% 163.96/163.60 ! [V_h_2,V_g_2,V_B_2,V_A_2,V_f_2,T_c,T_b,T_d] :
% 163.96/163.60 ( class_Groups_Ocomm__monoid__mult(T_d)
% 163.96/163.60 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 163.96/163.60 => ( V_B_2 = hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)
% 163.96/163.60 => ( V_g_2 = hAPP(c_Fun_Ocomp(T_c,T_d,T_b,V_h_2),V_f_2)
% 163.96/163.60 => 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) ) ) ) ) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_setsum_Oreindex,axiom,
% 163.96/163.60 ! [V_g_2,V_h_2,V_A_2,T_b,T_c] :
% 163.96/163.60 ( class_Groups_Ocomm__monoid__add(T_c)
% 163.96/163.60 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.96/163.60 => ( c_Fun_Oinj__on(T_b,T_b,V_h_2,V_A_2)
% 163.96/163.60 => 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) ) ) ) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_setprod_Oreindex,axiom,
% 163.96/163.60 ! [V_g_2,V_h_2,V_A_2,T_b,T_c] :
% 163.96/163.60 ( class_Groups_Ocomm__monoid__mult(T_c)
% 163.96/163.60 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.96/163.60 => ( c_Fun_Oinj__on(T_b,T_b,V_h_2,V_A_2)
% 163.96/163.60 => 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) ) ) ) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_the__inv__into__comp,axiom,
% 163.96/163.60 ! [V_x_2,V_A_2,V_g_2,T_d,V_f_2,T_c,T_b] :
% 163.96/163.60 ( 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))
% 163.96/163.60 => ( c_Fun_Oinj__on(T_d,T_b,V_g_2,V_A_2)
% 163.96/163.60 => ( 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))))
% 163.96/163.60 => 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) ) ) ) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_fold__image__reindex,axiom,
% 163.96/163.60 ! [V_z_2,V_g_2,V_h_2,T_c,V_A_2,T_b,T_d] :
% 163.96/163.60 ( class_Groups_Oab__semigroup__mult(T_d)
% 163.96/163.60 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.96/163.60 => ( c_Fun_Oinj__on(T_b,T_c,V_h_2,V_A_2)
% 163.96/163.60 => 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) ) ) ) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_folding_Oremove,axiom,
% 163.96/163.60 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_c,T_b] :
% 163.96/163.60 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2)
% 163.96/163.60 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.96/163.60 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 163.96/163.60 => 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)) ) ) ) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_folding__image_Oreindex,axiom,
% 163.96/163.60 ! [V_g_2,V_h_2,V_A_2,V_F_2,V_z_2,V_f_2,T_c,T_b] :
% 163.96/163.60 ( c_Finite__Set_Ofolding__image(T_b,T_c,V_f_2,V_z_2,V_F_2)
% 163.96/163.60 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 163.96/163.60 => ( c_Fun_Oinj__on(T_c,T_c,V_h_2,V_A_2)
% 163.96/163.60 => 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) ) ) ) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_folding_Ounion,axiom,
% 163.96/163.60 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_c,T_b] :
% 163.96/163.60 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2)
% 163.96/163.60 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.96/163.60 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 163.96/163.60 => ( 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))
% 163.96/163.60 => 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)) ) ) ) ) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_folding_Ocommute__left__comp,axiom,
% 163.96/163.60 ! [V_g_2,V_x_2,V_y_2,T_d,V_F_2,V_f_2,T_c,T_b] :
% 163.96/163.60 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2)
% 163.96/163.60 => 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)) ) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_folding_Ocommute__comp,axiom,
% 163.96/163.60 ! [V_x_2,V_y_2,V_F_2,V_f_2,T_c,T_b] :
% 163.96/163.60 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2)
% 163.96/163.60 => 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)) ) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_folding_Ocommute__comps_I1_J,axiom,
% 163.96/163.60 ! [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] :
% 163.96/163.60 ( c_Finite__Set_Ofolding(T_b,T_c,V_fa_2,V_F_2)
% 163.96/163.60 => 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) ) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_UN__o,axiom,
% 163.96/163.60 ! [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) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_fst__comp__map__pair,axiom,
% 163.96/163.60 ! [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)) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_snd__comp__map__pair,axiom,
% 163.96/163.60 ! [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)) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_folding__image_Odistrib,axiom,
% 163.96/163.60 ! [V_h_2,V_g_2,V_A_2,V_F_2,V_z_2,V_f_2,T_c,T_b] :
% 163.96/163.60 ( c_Finite__Set_Ofolding__image(T_b,T_c,V_f_2,V_z_2,V_F_2)
% 163.96/163.60 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 163.96/163.60 => 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)) ) ) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_split__comp,axiom,
% 163.96/163.60 ! [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)) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_folding_Ocommute__comp_H,axiom,
% 163.96/163.60 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_c,T_b] :
% 163.96/163.60 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2)
% 163.96/163.60 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.96/163.60 => 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)) ) ) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_folding_Ocommute__left__comp_H,axiom,
% 163.96/163.60 ! [V_g_2,V_x_2,T_d,V_A_2,V_F_2,V_f_2,T_c,T_b] :
% 163.96/163.60 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2)
% 163.96/163.60 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.96/163.60 => 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)) ) ) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_folding_Ocommute__comp_H_H,axiom,
% 163.96/163.60 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_c,T_b] :
% 163.96/163.60 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2)
% 163.96/163.60 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.96/163.60 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 163.96/163.60 => 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)) ) ) ) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_folding_Ocommute__left__comp_H_H,axiom,
% 163.96/163.60 ! [V_g_2,T_d,V_B_2,V_A_2,V_F_2,V_f_2,T_c,T_b] :
% 163.96/163.60 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2)
% 163.96/163.60 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.96/163.60 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 163.96/163.60 => 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)) ) ) ) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_folding_Oempty,axiom,
% 163.96/163.60 ! [V_F_2,V_f_2,T_c,T_b] :
% 163.96/163.60 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2)
% 163.96/163.60 => hAPP(V_F_2,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) = c_Fun_Oid(T_c) ) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_folding__image_Oeq__fold,axiom,
% 163.96/163.60 ! [V_g_2,V_A_2,V_F_2,V_z_2,V_f_2,T_c,T_b] :
% 163.96/163.60 ( c_Finite__Set_Ofolding__image(T_b,T_c,V_f_2,V_z_2,V_F_2)
% 163.96/163.60 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 163.96/163.60 => 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) ) ) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_folding_Oinsert,axiom,
% 163.96/163.60 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_c,T_b] :
% 163.96/163.60 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2)
% 163.96/163.60 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.96/163.60 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 163.96/163.60 => 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)) ) ) ) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_folding_Ounion__inter,axiom,
% 163.96/163.60 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_c,T_b] :
% 163.96/163.60 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2)
% 163.96/163.60 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.96/163.60 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 163.96/163.60 => 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)) ) ) ) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_folding_Oinsert__remove,axiom,
% 163.96/163.60 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_c,T_b] :
% 163.96/163.60 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2)
% 163.96/163.60 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.96/163.60 => 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)) ) ) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_setsum__reindex__nonzero,axiom,
% 163.96/163.60 ! [T_c,V_h_2,V_f_2,V_S_2,T_b,T_d] :
% 163.96/163.60 ( class_Groups_Ocomm__monoid__add(T_d)
% 163.96/163.60 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 163.96/163.60 => ( ! [B_x] :
% 163.96/163.60 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_S_2))
% 163.96/163.60 => ! [B_y] :
% 163.96/163.60 ( hBOOL(hAPP(hAPP(c_member(T_b),B_y),V_S_2))
% 163.96/163.60 => ( B_x != B_y
% 163.96/163.60 => ( hAPP(V_f_2,B_x) = hAPP(V_f_2,B_y)
% 163.96/163.60 => hAPP(V_h_2,hAPP(V_f_2,B_x)) = c_Groups_Ozero__class_Ozero(T_d) ) ) ) )
% 163.96/163.60 => 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) ) ) ) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_folding__idem_Ounion__idem,axiom,
% 163.96/163.60 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_c,T_b] :
% 163.96/163.60 ( c_Finite__Set_Ofolding__idem(T_b,T_c,V_f_2,V_F_2)
% 163.96/163.60 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.96/163.60 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 163.96/163.60 => 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)) ) ) ) ).
% 163.96/163.60
% 163.96/163.60 fof(fact_folding__idem_Osubset__comp__idem,axiom,
% 163.96/163.60 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_c,T_b] :
% 163.96/163.61 ( c_Finite__Set_Ofolding__idem(T_b,T_c,V_f_2,V_F_2)
% 163.96/163.61 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.96/163.61 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 163.96/163.61 => 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) ) ) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_folding__idem_Oidem__left__comp,axiom,
% 163.96/163.61 ! [V_g_2,V_x_2,T_d,V_F_2,V_f_2,T_c,T_b] :
% 163.96/163.61 ( c_Finite__Set_Ofolding__idem(T_b,T_c,V_f_2,V_F_2)
% 163.96/163.61 => 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) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_folding__idem_Oidem__comp,axiom,
% 163.96/163.61 ! [V_x_2,V_F_2,V_f_2,T_c,T_b] :
% 163.96/163.61 ( c_Finite__Set_Ofolding__idem(T_b,T_c,V_f_2,V_F_2)
% 163.96/163.61 => 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) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_folding__idem_Oin__comp__idem,axiom,
% 163.96/163.61 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_c,T_b] :
% 163.96/163.61 ( c_Finite__Set_Ofolding__idem(T_b,T_c,V_f_2,V_F_2)
% 163.96/163.61 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.96/163.61 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 163.96/163.61 => 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) ) ) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_folding__idem_Oinsert__idem,axiom,
% 163.96/163.61 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_c,T_b] :
% 163.96/163.61 ( c_Finite__Set_Ofolding__idem(T_b,T_c,V_f_2,V_F_2)
% 163.96/163.61 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.96/163.61 => 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)) ) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_strong__setprod__reindex__cong,axiom,
% 163.96/163.61 ! [V_h_2,V_g_2,V_B_2,V_A_2,V_f_2,T_c,T_b,T_d] :
% 163.96/163.61 ( class_Groups_Ocomm__monoid__mult(T_d)
% 163.96/163.61 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 163.96/163.61 => ( V_B_2 = hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)
% 163.96/163.61 => ( ! [B_x] :
% 163.96/163.61 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 163.96/163.61 => 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) )
% 163.96/163.61 => 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) ) ) ) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_setsum__SucD,axiom,
% 163.96/163.61 ! [V_n_2,V_A_2,V_f_2,T_b] :
% 163.96/163.61 ( 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)
% 163.96/163.61 => ? [B_x] :
% 163.96/163.61 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 163.96/163.61 & 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))) ) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_Eps__split,axiom,
% 163.96/163.61 ! [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))) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_some__sym__eq__trivial,axiom,
% 163.96/163.61 ! [V_x_2,T_b] : c_Hilbert__Choice_OEps(T_b,hAPP(c_fequal,V_x_2)) = V_x_2 ).
% 163.96/163.61
% 163.96/163.61 fof(fact_some__eq__trivial,axiom,
% 163.96/163.61 ! [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 ).
% 163.96/163.61
% 163.96/163.61 fof(fact_some__eq__ex,axiom,
% 163.96/163.61 ! [T_b,V_P_2] :
% 163.96/163.61 ( hBOOL(hAPP(V_P_2,c_Hilbert__Choice_OEps(T_b,V_P_2)))
% 163.96/163.61 <=> ? [B_x1] : hBOOL(hAPP(V_P_2,B_x1)) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_someI__ex,axiom,
% 163.96/163.61 ! [T_b,V_P_2] :
% 163.96/163.61 ( ? [B_x1] : hBOOL(hAPP(V_P_2,B_x1))
% 163.96/163.61 => hBOOL(hAPP(V_P_2,c_Hilbert__Choice_OEps(T_b,V_P_2))) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_tfl__some,axiom,
% 163.96/163.61 ! [T_b,B_P] :
% 163.96/163.61 ( ? [B_x] : hBOOL(hAPP(B_P,B_x))
% 163.96/163.61 => hBOOL(hAPP(B_P,c_Hilbert__Choice_OEps(T_b,B_P))) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_someI,axiom,
% 163.96/163.61 ! [T_b,V_x_2,V_P_2] :
% 163.96/163.61 ( hBOOL(hAPP(V_P_2,V_x_2))
% 163.96/163.61 => hBOOL(hAPP(V_P_2,c_Hilbert__Choice_OEps(T_b,V_P_2))) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_exE__some,axiom,
% 163.96/163.61 ! [T_b,V_c_2,V_P_2] :
% 163.96/163.61 ( ? [B_x1] : hBOOL(hAPP(V_P_2,B_x1))
% 163.96/163.61 => ( V_c_2 = c_Hilbert__Choice_OEps(T_b,V_P_2)
% 163.96/163.61 => hBOOL(hAPP(V_P_2,V_c_2)) ) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_split__paired__Eps,axiom,
% 163.96/163.61 ! [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)))) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_Eps__split__eq,axiom,
% 163.96/163.61 ! [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) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_nat__mod__eq__lemma,axiom,
% 163.96/163.61 ! [V_y,V_n,V_x] :
% 163.96/163.61 ( c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_x,V_n) = c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_y,V_n)
% 163.96/163.61 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_y),V_x))
% 163.96/163.61 => ? [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)) ) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_Sigma__mono,axiom,
% 163.96/163.61 ! [V_D_2,V_B_2,T_c,V_C_2,V_A_2,T_b] :
% 163.96/163.61 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2))
% 163.96/163.61 => ( ! [B_x] :
% 163.96/163.61 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 163.96/163.61 => 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))) )
% 163.96/163.61 => 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))) ) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_acc_OaccI,axiom,
% 163.96/163.61 ! [V_r_2,V_x_2,T_b] :
% 163.96/163.61 ( ! [B_y] :
% 163.96/163.61 ( 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))
% 163.96/163.61 => hBOOL(hAPP(hAPP(c_member(T_b),B_y),c_Wellfounded_Oacc(T_b,V_r_2))) )
% 163.96/163.61 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),c_Wellfounded_Oacc(T_b,V_r_2))) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_not__acc__down,axiom,
% 163.96/163.61 ! [V_R_2,V_x_2,T_b] :
% 163.96/163.61 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),c_Wellfounded_Oacc(T_b,V_R_2)))
% 163.96/163.61 => ~ ! [B_z] :
% 163.96/163.61 ( 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))
% 163.96/163.61 => hBOOL(hAPP(hAPP(c_member(T_b),B_z),c_Wellfounded_Oacc(T_b,V_R_2))) ) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_fold__image__1,axiom,
% 163.96/163.61 ! [V_f_2,V_S_2,T_b,T_c] :
% 163.96/163.61 ( class_Groups_Ocomm__monoid__mult(T_c)
% 163.96/163.61 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 163.96/163.61 => ( ! [B_x] :
% 163.96/163.61 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_S_2))
% 163.96/163.61 => hAPP(V_f_2,B_x) = c_Groups_Oone__class_Oone(T_c) )
% 163.96/163.61 => 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) ) ) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_card_Oneutral,axiom,
% 163.96/163.61 ! [V_A_2,T_b] :
% 163.96/163.61 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.96/163.61 => ( ( ? [B_x] : hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 163.96/163.61 => c_Groups_Oone__class_Oone(tc_Nat_Onat) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 163.96/163.61 => hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_max__ext_Osimps,axiom,
% 163.96/163.61 ! [V_R_2,V_a2_2,V_a1_2,T_b] :
% 163.96/163.61 ( 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)))
% 163.96/163.61 <=> ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_a1_2))
% 163.96/163.61 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_a2_2))
% 163.96/163.61 & V_a2_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.96/163.61 & ! [B_x] :
% 163.96/163.61 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_a1_2))
% 163.96/163.61 => ? [B_xa] :
% 163.96/163.61 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_a2_2))
% 163.96/163.61 & 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)) ) ) ) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_mod__induct__0,axiom,
% 163.96/163.61 ! [V_i_2,V_P_2,V_p_2] :
% 163.96/163.61 ( ! [B_i] :
% 163.96/163.61 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),V_p_2))
% 163.96/163.61 => ( hBOOL(hAPP(V_P_2,B_i))
% 163.96/163.61 => hBOOL(hAPP(V_P_2,c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(c_Nat_OSuc,B_i),V_p_2))) ) )
% 163.96/163.61 => ( hBOOL(hAPP(V_P_2,V_i_2))
% 163.96/163.61 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2),V_p_2))
% 163.96/163.61 => hBOOL(hAPP(V_P_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ) ) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_fold__image__cong,axiom,
% 163.96/163.61 ! [V_z_2,V_h_2,V_g_2,V_A_2,T_b,T_c] :
% 163.96/163.61 ( class_Groups_Oab__semigroup__mult(T_c)
% 163.96/163.61 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.96/163.61 => ( ! [B_x] :
% 163.96/163.61 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 163.96/163.61 => hAPP(V_g_2,B_x) = hAPP(V_h_2,B_x) )
% 163.96/163.61 => 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) ) ) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_trancl__subset__Sigma__aux,axiom,
% 163.96/163.61 ! [V_A_2,V_r_2,V_b_2,V_a_2,T_b] :
% 163.96/163.61 ( 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)))
% 163.96/163.61 => ( 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))))
% 163.96/163.61 => ( V_a_2 = V_b_2
% 163.96/163.61 | hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_Max__eqI,axiom,
% 163.96/163.61 ! [V_x_2,V_A_2,T_b] :
% 163.96/163.61 ( class_Orderings_Olinorder(T_b)
% 163.96/163.61 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.96/163.61 => ( ! [B_y] :
% 163.96/163.61 ( hBOOL(hAPP(hAPP(c_member(T_b),B_y),V_A_2))
% 163.96/163.61 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),B_y),V_x_2)) )
% 163.96/163.61 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 163.96/163.61 => c_Big__Operators_Olinorder__class_OMax(T_b,V_A_2) = V_x_2 ) ) ) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_Min__eqI,axiom,
% 163.96/163.61 ! [V_x_2,V_A_2,T_b] :
% 163.96/163.61 ( class_Orderings_Olinorder(T_b)
% 163.96/163.61 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.96/163.61 => ( ! [B_y] :
% 163.96/163.61 ( hBOOL(hAPP(hAPP(c_member(T_b),B_y),V_A_2))
% 163.96/163.61 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),B_y)) )
% 163.96/163.61 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 163.96/163.61 => c_Big__Operators_Olinorder__class_OMin(T_b,V_A_2) = V_x_2 ) ) ) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_r__into__rtrancl,axiom,
% 163.96/163.61 ! [V_r_2,V_p_2,T_b] :
% 163.96/163.61 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),V_r_2))
% 163.96/163.61 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),c_Transitive__Closure_Ortrancl(T_b,V_r_2))) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_rtrancl_Ortrancl__refl,axiom,
% 163.96/163.61 ! [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))) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_rtrancl__Un__subset,axiom,
% 163.96/163.61 ! [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)))) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_refl__rtrancl,axiom,
% 163.96/163.61 ! [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)) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_Domain__rtrancl,axiom,
% 163.96/163.61 ! [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)) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_Image__closed__trancl,axiom,
% 163.96/163.61 ! [V_X_2,V_r_2,T_b] :
% 163.96/163.61 ( 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))
% 163.96/163.61 => hAPP(c_Relation_OImage(T_b,T_b,c_Transitive__Closure_Ortrancl(T_b,V_r_2)),V_X_2) = V_X_2 ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_in__rtrancl__UnI,axiom,
% 163.96/163.61 ! [V_S_2,V_R_2,V_x_2,T_b] :
% 163.96/163.61 ( ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_x_2),c_Transitive__Closure_Ortrancl(T_b,V_R_2)))
% 163.96/163.61 | hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_x_2),c_Transitive__Closure_Ortrancl(T_b,V_S_2))) )
% 163.96/163.61 => 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)))) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_converse__rtrancl__into__rtrancl,axiom,
% 163.96/163.61 ! [V_c_2,V_r_2,V_b_2,V_a_2,T_b] :
% 163.96/163.61 ( 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))
% 163.96/163.61 => ( 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)))
% 163.96/163.61 => 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))) ) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_rtrancl_Ortrancl__into__rtrancl,axiom,
% 163.96/163.61 ! [V_c_2,V_r_2,V_b_2,V_a_2,T_b] :
% 163.96/163.61 ( 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)))
% 163.96/163.61 => ( 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))
% 163.96/163.61 => 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))) ) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_rtrancl__trans,axiom,
% 163.96/163.61 ! [V_c_2,V_r_2,V_b_2,V_a_2,T_b] :
% 163.96/163.61 ( 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)))
% 163.96/163.61 => ( 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)))
% 163.96/163.61 => 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))) ) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_rtrancl__idemp__self__comp,axiom,
% 163.96/163.61 ! [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) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_r__comp__rtrancl__eq,axiom,
% 163.96/163.61 ! [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) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_rtrancl__converse,axiom,
% 163.96/163.61 ! [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)) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_rtrancl__idemp,axiom,
% 163.96/163.61 ! [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) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_rtrancl__Un__rtrancl,axiom,
% 163.96/163.61 ! [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)) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_rtrancl__mono,axiom,
% 163.96/163.61 ! [V_s_2,V_r_2,T_b] :
% 163.96/163.61 ( 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))
% 163.96/163.61 => 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))) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_rtrancl__subset,axiom,
% 163.96/163.61 ! [V_S_2,V_R_2,T_b] :
% 163.96/163.61 ( 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))
% 163.96/163.61 => ( 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)))
% 163.96/163.61 => c_Transitive__Closure_Ortrancl(T_b,V_S_2) = c_Transitive__Closure_Ortrancl(T_b,V_R_2) ) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_rtrancl__subset__rtrancl,axiom,
% 163.96/163.61 ! [V_s_2,V_r_2,T_b] :
% 163.96/163.61 ( 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)))
% 163.96/163.61 => 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))) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_Range__rtrancl,axiom,
% 163.96/163.61 ! [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)) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_rtrancl__empty,axiom,
% 163.96/163.61 ! [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) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_rtrancl__reflcl,axiom,
% 163.96/163.61 ! [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) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_rtrancl__reflcl__absorb,axiom,
% 163.96/163.61 ! [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) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_rtrancl__r__diff__Id,axiom,
% 163.96/163.61 ! [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) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_rtrancl__converseD,axiom,
% 163.96/163.61 ! [V_r_2,V_y_2,V_x_2,T_b] :
% 163.96/163.61 ( 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))))
% 163.96/163.61 => 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))) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_rtrancl__converseI,axiom,
% 163.96/163.61 ! [V_r_2,V_x_2,V_y_2,T_b] :
% 163.96/163.61 ( 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)))
% 163.96/163.61 => 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)))) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_single__valued__confluent,axiom,
% 163.96/163.61 ! [V_z_2,V_y_2,V_x_2,V_r_2,T_b] :
% 163.96/163.61 ( c_Relation_Osingle__valued(T_b,T_b,V_r_2)
% 163.96/163.61 => ( 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)))
% 163.96/163.61 => ( 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)))
% 163.96/163.61 => ( 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)))
% 163.96/163.61 | 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))) ) ) ) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_rtrancl__unfold,axiom,
% 163.96/163.61 ! [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)) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_Not__Domain__rtrancl,axiom,
% 163.96/163.61 ! [V_y_2,V_R_2,V_x_2,T_b] :
% 163.96/163.61 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_Relation_ODomain(T_b,T_b),V_R_2)))
% 163.96/163.61 => ( 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)))
% 163.96/163.61 <=> V_x_2 = V_y_2 ) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_acc__downwards__aux,axiom,
% 163.96/163.61 ! [V_r_2,V_a_2,V_b_2,T_b] :
% 163.96/163.61 ( 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)))
% 163.96/163.61 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Wellfounded_Oacc(T_b,V_r_2)))
% 163.96/163.61 => hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),c_Wellfounded_Oacc(T_b,V_r_2))) ) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_acc__downwards,axiom,
% 163.96/163.61 ! [V_b_2,V_r_2,V_a_2,T_b] :
% 163.96/163.61 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Wellfounded_Oacc(T_b,V_r_2)))
% 163.96/163.61 => ( 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)))
% 163.96/163.61 => hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),c_Wellfounded_Oacc(T_b,V_r_2))) ) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_wf__insert,axiom,
% 163.96/163.61 ! [V_r_2,V_x_2,V_y_2,T_b] :
% 163.96/163.61 ( 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))
% 163.96/163.61 <=> ( c_Wellfounded_Owf(T_b,V_r_2)
% 163.96/163.61 & ~ 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))) ) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_acyclic__insert,axiom,
% 163.96/163.61 ! [V_r_2,V_x_2,V_y_2,T_b] :
% 163.96/163.61 ( 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))
% 163.96/163.61 <=> ( c_Wellfounded_Oacyclic(T_b,V_r_2)
% 163.96/163.61 & ~ 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))) ) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_rtrancl__Int__subset,axiom,
% 163.96/163.61 ! [V_r_2,V_s_2,T_b] :
% 163.96/163.61 ( 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))
% 163.96/163.61 => ( 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))
% 163.96/163.61 => 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)) ) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_pred__nat__trancl__eq__le,axiom,
% 163.96/163.61 ! [V_n_2,V_m_2] :
% 163.96/163.61 ( 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)))
% 163.96/163.61 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_trancl__insert,axiom,
% 163.96/163.61 ! [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)))))) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_irrefl__tranclI,axiom,
% 163.96/163.61 ! [V_x_2,V_r_2,T_b] :
% 163.96/163.61 ( 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))
% 163.96/163.61 => ~ 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))) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_sequence__trans,axiom,
% 163.96/163.61 ! [V_k_2,V_i_2,V_r_2,V_f_2,T_b] :
% 163.96/163.61 ( ! [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)))
% 163.96/163.61 => 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))) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_trancl_Or__into__trancl,axiom,
% 163.96/163.61 ! [V_r_2,V_b_2,V_a_2,T_b] :
% 163.96/163.61 ( 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))
% 163.96/163.61 => 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))) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_trancl__into__rtrancl,axiom,
% 163.96/163.61 ! [V_r_2,V_b_2,V_a_2,T_b] :
% 163.96/163.61 ( 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)))
% 163.96/163.61 => 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))) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_rtrancl__trancl__absorb,axiom,
% 163.96/163.61 ! [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) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_trancl__rtrancl__absorb,axiom,
% 163.96/163.61 ! [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) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_trancl__mono,axiom,
% 163.96/163.61 ! [V_s_2,V_r_2,V_p_2,T_b] :
% 163.96/163.61 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),c_Transitive__Closure_Otrancl(T_b,V_r_2)))
% 163.96/163.61 => ( 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))
% 163.96/163.61 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),c_Transitive__Closure_Otrancl(T_b,V_s_2))) ) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_trancl__empty,axiom,
% 163.96/163.61 ! [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)) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_finite__trancl,axiom,
% 163.96/163.61 ! [V_r_2,T_b] :
% 163.96/163.61 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_b)),c_Transitive__Closure_Otrancl(T_b,V_r_2)))
% 163.96/163.61 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_b)),V_r_2)) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_trancl__range,axiom,
% 163.96/163.61 ! [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) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_r__into__trancl_H,axiom,
% 163.96/163.61 ! [V_r_2,V_p_2,T_b] :
% 163.96/163.61 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),V_r_2))
% 163.96/163.61 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),c_Transitive__Closure_Otrancl(T_b,V_r_2))) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_trancl__converse,axiom,
% 163.96/163.61 ! [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)) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_trancl__domain,axiom,
% 163.96/163.61 ! [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) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_wf__trancl,axiom,
% 163.96/163.61 ! [V_r_2,T_b] :
% 163.96/163.61 ( c_Wellfounded_Owf(T_b,V_r_2)
% 163.96/163.61 => c_Wellfounded_Owf(T_b,c_Transitive__Closure_Otrancl(T_b,V_r_2)) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_trancl__trans,axiom,
% 163.96/163.61 ! [V_c_2,V_r_2,V_b_2,V_a_2,T_b] :
% 163.96/163.61 ( 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)))
% 163.96/163.61 => ( 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)))
% 163.96/163.61 => 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))) ) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_Transitive__Closure_Otrancl__into__trancl,axiom,
% 163.96/163.61 ! [V_c_2,V_r_2,V_b_2,V_a_2,T_b] :
% 163.96/163.61 ( 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)))
% 163.96/163.61 => ( 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))
% 163.96/163.61 => 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))) ) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_trancl__into__trancl2,axiom,
% 163.96/163.61 ! [V_c_2,V_r_2,V_b_2,V_a_2,T_b] :
% 163.96/163.61 ( 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))
% 163.96/163.61 => ( 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)))
% 163.96/163.61 => 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))) ) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_r__r__into__trancl,axiom,
% 163.96/163.61 ! [V_c_2,V_R_2,V_b_2,V_a_2,T_b] :
% 163.96/163.61 ( 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))
% 163.96/163.61 => ( 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))
% 163.96/163.61 => 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))) ) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_trancl__unfold__right,axiom,
% 163.96/163.61 ! [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) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_trancl__unfold__left,axiom,
% 163.96/163.61 ! [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)) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_wf__converse__trancl,axiom,
% 163.96/163.61 ! [V_r_2,T_b] :
% 163.96/163.61 ( c_Wellfounded_Owf(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2))
% 163.96/163.61 => c_Wellfounded_Owf(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),c_Transitive__Closure_Otrancl(T_b,V_r_2))) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_trancl__unfold,axiom,
% 163.96/163.61 ! [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)) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_trancl__subset__Sigma,axiom,
% 163.96/163.61 ! [V_A_2,V_r_2,T_b] :
% 163.96/163.61 ( 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))))
% 163.96/163.61 => 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)))) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_less__than__def,axiom,
% 163.96/163.61 c_Wellfounded_Oless__than = c_Transitive__Closure_Otrancl(tc_Nat_Onat,c_Wellfounded_Opred__nat) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_rtrancl__trancl__trancl,axiom,
% 163.96/163.61 ! [V_z_2,V_r_2,V_y_2,V_x_2,T_b] :
% 163.96/163.61 ( 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)))
% 163.96/163.61 => ( 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)))
% 163.96/163.61 => 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))) ) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_trancl__rtrancl__trancl,axiom,
% 163.96/163.61 ! [V_c_2,V_r_2,V_b_2,V_a_2,T_b] :
% 163.96/163.61 ( 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)))
% 163.96/163.61 => ( 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)))
% 163.96/163.61 => 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))) ) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_rtrancl__into__trancl1,axiom,
% 163.96/163.61 ! [V_c_2,V_r_2,V_b_2,V_a_2,T_b] :
% 163.96/163.61 ( 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)))
% 163.96/163.61 => ( 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))
% 163.96/163.61 => 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))) ) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_rtranclD,axiom,
% 163.96/163.61 ! [V_R_2,V_b_2,V_a_2,T_b] :
% 163.96/163.61 ( 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)))
% 163.96/163.61 => ( V_a_2 = V_b_2
% 163.96/163.61 | ( V_a_2 != V_b_2
% 163.96/163.61 & 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))) ) ) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_rtrancl__into__trancl2,axiom,
% 163.96/163.61 ! [V_c_2,V_r_2,V_b_2,V_a_2,T_b] :
% 163.96/163.61 ( 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))
% 163.96/163.61 => ( 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)))
% 163.96/163.61 => 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))) ) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_rtrancl__eq__or__trancl,axiom,
% 163.96/163.61 ! [V_R_2,V_y_2,V_x_2,T_b] :
% 163.96/163.61 ( 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)))
% 163.96/163.61 <=> ( V_x_2 = V_y_2
% 163.96/163.61 | ( V_x_2 != V_y_2
% 163.96/163.61 & 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))) ) ) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_trancl__converseI,axiom,
% 163.96/163.61 ! [V_r_2,V_y_2,V_x_2,T_b] :
% 163.96/163.61 ( 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))))
% 163.96/163.61 => 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)))) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_trancl__converseD,axiom,
% 163.96/163.61 ! [V_r_2,V_y_2,V_x_2,T_b] :
% 163.96/163.61 ( 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))))
% 163.96/163.61 => 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)))) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_acyclic__def,axiom,
% 163.96/163.61 ! [V_r_2,T_b] :
% 163.96/163.61 ( c_Wellfounded_Oacyclic(T_b,V_r_2)
% 163.96/163.61 <=> ! [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))) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_trancl__reflcl,axiom,
% 163.96/163.61 ! [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) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_reflcl__trancl,axiom,
% 163.96/163.61 ! [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) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_trancl__Int__subset,axiom,
% 163.96/163.61 ! [V_s_2,V_r_2,T_b] :
% 163.96/163.61 ( 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))
% 163.96/163.61 => ( 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))
% 163.96/163.61 => 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)) ) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_trancl__subset__Field2,axiom,
% 163.96/163.61 ! [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))))) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_less__eq,axiom,
% 163.96/163.61 ! [V_n_2,V_m_2] :
% 163.96/163.61 ( 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)))
% 163.96/163.61 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_rtrancl__imp__UN__rel__pow,axiom,
% 163.96/163.61 ! [V_R_2,V_p_2,T_b] :
% 163.96/163.61 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),c_Transitive__Closure_Ortrancl(T_b,V_R_2)))
% 163.96/163.61 => 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)))) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_acyclicI,axiom,
% 163.96/163.61 ! [V_r_2,T_b] :
% 163.96/163.61 ( ! [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)))
% 163.96/163.61 => c_Wellfounded_Oacyclic(T_b,V_r_2) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_rtrancl__Un__separator__converseE,axiom,
% 163.96/163.61 ! [V_Q_2,V_P_2,V_b_2,V_a_2,T_b] :
% 163.96/163.61 ( 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))))
% 163.96/163.61 => ( ! [B_x] :
% 163.96/163.61 ( 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)))
% 163.96/163.61 => ! [B_y] :
% 163.96/163.61 ( 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))
% 163.96/163.61 => B_y = B_x ) )
% 163.96/163.61 => 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))) ) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_comp__funpow,axiom,
% 163.96/163.61 ! [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)) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_funpow__mult,axiom,
% 163.96/163.61 ! [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) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_wf__exp,axiom,
% 163.96/163.61 ! [V_R_2,V_n_2,T_b] :
% 163.96/163.61 ( 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))
% 163.96/163.61 => c_Wellfounded_Owf(T_b,V_R_2) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_rel__pow__1,axiom,
% 163.96/163.61 ! [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 ).
% 163.96/163.61
% 163.96/163.61 fof(fact_single__valued__rel__pow,axiom,
% 163.96/163.61 ! [V_n_2,V_R_2,T_b] :
% 163.96/163.61 ( c_Relation_Osingle__valued(T_b,T_b,V_R_2)
% 163.96/163.61 => 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)) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_funpow__swap1,axiom,
% 163.96/163.61 ! [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)) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_rel__pow__commute,axiom,
% 163.96/163.61 ! [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) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_rel__pow__imp__rtrancl,axiom,
% 163.96/163.61 ! [V_R_2,V_n_2,V_p_2,T_b] :
% 163.96/163.61 ( 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)))
% 163.96/163.61 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),c_Transitive__Closure_Ortrancl(T_b,V_R_2))) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_rtrancl__power,axiom,
% 163.96/163.61 ! [V_R_2,V_p_2,T_b] :
% 163.96/163.61 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),c_Transitive__Closure_Ortrancl(T_b,V_R_2)))
% 163.96/163.61 <=> ? [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))) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_relpow_Osimps_I2_J,axiom,
% 163.96/163.61 ! [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) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_rel__pow__add,axiom,
% 163.96/163.61 ! [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)) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_relpow_Osimps_I1_J,axiom,
% 163.96/163.61 ! [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) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_rel__pow__0__I,axiom,
% 163.96/163.61 ! [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))) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_rel__pow__0__E,axiom,
% 163.96/163.61 ! [V_R_2,V_y_2,V_x_2,T_b] :
% 163.96/163.61 ( 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)))
% 163.96/163.61 => V_x_2 = V_y_2 ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_rel__pow__Suc__I2,axiom,
% 163.96/163.61 ! [V_n_2,V_z_2,V_R_2,V_y_2,V_x_2,T_b] :
% 163.96/163.61 ( 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))
% 163.96/163.61 => ( 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)))
% 163.96/163.61 => 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))) ) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_rel__pow__Suc__I,axiom,
% 163.96/163.61 ! [V_z_2,V_R_2,V_n_2,V_y_2,V_x_2,T_b] :
% 163.96/163.61 ( 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)))
% 163.96/163.61 => ( 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))
% 163.96/163.61 => 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))) ) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_funpow_Osimps_I2_J,axiom,
% 163.96/163.61 ! [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)) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_funpow__add,axiom,
% 163.96/163.61 ! [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)) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_funpow_Osimps_I1_J,axiom,
% 163.96/163.61 ! [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) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_trancl__power,axiom,
% 163.96/163.61 ! [V_R_2,V_p_2,T_b] :
% 163.96/163.61 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),c_Transitive__Closure_Otrancl(T_b,V_R_2)))
% 163.96/163.61 <=> ? [B_n] :
% 163.96/163.61 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),B_n))
% 163.96/163.61 & 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))) ) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_rtrancl__is__UN__rel__pow,axiom,
% 163.96/163.61 ! [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)) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_funpow__code__def,axiom,
% 163.96/163.61 ! [T_b] : c_Nat_Ofunpow(T_b) = c_Nat_Ocompow(T_b,T_b) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_rel__pow__E,axiom,
% 163.96/163.61 ! [V_R_2,V_n_2,V_z_2,V_x_2,T_b] :
% 163.96/163.61 ( 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)))
% 163.96/163.61 => ( ( V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 163.96/163.61 => V_x_2 != V_z_2 )
% 163.96/163.61 => ~ ! [B_y,B_m] :
% 163.96/163.61 ( V_n_2 = hAPP(c_Nat_OSuc,B_m)
% 163.96/163.61 => ( 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)))
% 163.96/163.61 => ~ 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)) ) ) ) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_rel__pow__E2,axiom,
% 163.96/163.61 ! [V_R_2,V_n_2,V_z_2,V_x_2,T_b] :
% 163.96/163.61 ( 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)))
% 163.96/163.61 => ( ( V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 163.96/163.61 => V_x_2 != V_z_2 )
% 163.96/163.61 => ~ ! [B_y,B_m] :
% 163.96/163.61 ( V_n_2 = hAPP(c_Nat_OSuc,B_m)
% 163.96/163.61 => ( 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))
% 163.96/163.61 => ~ 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))) ) ) ) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_rtrancl__Un__separatorE,axiom,
% 163.96/163.61 ! [V_Q_2,V_P_2,V_b_2,V_a_2,T_b] :
% 163.96/163.61 ( 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))))
% 163.96/163.61 => ( ! [B_x] :
% 163.96/163.61 ( 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)))
% 163.96/163.61 => ! [B_y] :
% 163.96/163.61 ( 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))
% 163.96/163.61 => B_x = B_y ) )
% 163.96/163.61 => 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))) ) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_rel__pow__Suc__D2,axiom,
% 163.96/163.61 ! [V_R_2,V_n_2,V_z_2,V_x_2,T_b] :
% 163.96/163.61 ( 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)))
% 163.96/163.61 => ? [B_y] :
% 163.96/163.61 ( 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))
% 163.96/163.61 & 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))) ) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_rel__pow__Suc__E2,axiom,
% 163.96/163.61 ! [V_R_2,V_n_2,V_z_2,V_x_2,T_b] :
% 163.96/163.61 ( 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)))
% 163.96/163.61 => ~ ! [B_y] :
% 163.96/163.61 ( 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))
% 163.96/163.61 => ~ 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))) ) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_rel__pow__Suc__E,axiom,
% 163.96/163.61 ! [V_R_2,V_n_2,V_z_2,V_x_2,T_b] :
% 163.96/163.61 ( 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)))
% 163.96/163.61 => ~ ! [B_y] :
% 163.96/163.61 ( 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)))
% 163.96/163.61 => ~ 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)) ) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_tranclD,axiom,
% 163.96/163.61 ! [V_R_2,V_y_2,V_x_2,T_b] :
% 163.96/163.61 ( 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)))
% 163.96/163.61 => ? [B_z] :
% 163.96/163.61 ( 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))
% 163.96/163.61 & 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))) ) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_tranclD2,axiom,
% 163.96/163.61 ! [V_R_2,V_y_2,V_x_2,T_b] :
% 163.96/163.61 ( 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)))
% 163.96/163.61 => ? [B_z] :
% 163.96/163.61 ( 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)))
% 163.96/163.61 & 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)) ) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_wf__no__infinite__down__chainE,axiom,
% 163.96/163.61 ! [V_f_2,V_r_2,T_b] :
% 163.96/163.61 ( c_Wellfounded_Owf(T_b,V_r_2)
% 163.96/163.61 => ~ ! [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)) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_setsum__reindex__cong,axiom,
% 163.96/163.61 ! [V_h_2,V_g_2,V_B_2,V_A_2,V_f_2,T_c,T_b,T_d] :
% 163.96/163.61 ( class_Groups_Ocomm__monoid__add(T_d)
% 163.96/163.61 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 163.96/163.61 => ( V_B_2 = hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)
% 163.96/163.61 => ( ! [B_a] :
% 163.96/163.61 ( hBOOL(hAPP(hAPP(c_member(T_b),B_a),V_A_2))
% 163.96/163.61 => hAPP(V_g_2,B_a) = hAPP(V_h_2,hAPP(V_f_2,B_a)) )
% 163.96/163.61 => 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) ) ) ) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_scomp__unfold,axiom,
% 163.96/163.61 ! [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))) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_scomp__apply,axiom,
% 163.96/163.61 ! [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)) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_Pair__scomp,axiom,
% 163.96/163.61 ! [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) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_scomp__Pair,axiom,
% 163.96/163.61 ! [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 ).
% 163.96/163.61
% 163.96/163.61 fof(fact_scomp__scomp,axiom,
% 163.96/163.61 ! [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)) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_scomp__def,axiom,
% 163.96/163.61 ! [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)) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_iterate_Osimps,axiom,
% 163.96/163.61 ! [V_x_2,V_f_2,T_b,T_c,V_k_2] :
% 163.96/163.61 ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 163.96/163.61 => 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) )
% 163.96/163.61 & ( V_k_2 != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 163.96/163.61 => 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)) ) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_setsum__ivl__cong,axiom,
% 163.96/163.61 ! [V_g_2,V_f_2,V_d_2,V_b_2,V_c_2,V_a_2,T_b,T_c] :
% 163.96/163.61 ( ( class_Groups_Ocomm__monoid__add(T_c)
% 163.96/163.61 & class_Orderings_Oord(T_b) )
% 163.96/163.61 => ( V_a_2 = V_c_2
% 163.96/163.61 => ( V_b_2 = V_d_2
% 163.96/163.61 => ( ! [B_x] :
% 163.96/163.61 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_c_2),B_x))
% 163.96/163.61 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),B_x),V_d_2))
% 163.96/163.61 => hAPP(V_f_2,B_x) = hAPP(V_g_2,B_x) ) )
% 163.96/163.61 => 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)) ) ) ) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_log_Osimps,axiom,
% 163.96/163.61 ! [V_i,V_b] :
% 163.96/163.61 ( ( ( 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)))
% 163.96/163.61 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),V_i),V_b)) )
% 163.96/163.61 => c_Random_Olog(V_b,V_i) = c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral) )
% 163.96/163.61 & ( ~ ( 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)))
% 163.96/163.61 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),V_i),V_b)) )
% 163.96/163.61 => 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))) ) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_minus__shift__def,axiom,
% 163.96/163.61 ! [V_r,V_l,V_k] :
% 163.96/163.61 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),V_k),V_l))
% 163.96/163.61 => 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) )
% 163.96/163.61 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),V_k),V_l))
% 163.96/163.61 => 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) ) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_inc__shift__def,axiom,
% 163.96/163.61 ! [V_k,V_v] :
% 163.96/163.61 ( ( V_v = V_k
% 163.96/163.61 => c_Random_Oinc__shift(V_v,V_k) = c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral) )
% 163.96/163.61 & ( V_v != V_k
% 163.96/163.61 => 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)) ) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_range,axiom,
% 163.96/163.61 ! [V_s,V_k] :
% 163.96/163.61 ( 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))
% 163.96/163.61 => 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)) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_nat__intermed__int__val,axiom,
% 163.96/163.61 ! [V_k_2,V_f_2,V_n_2,V_m_2] :
% 163.96/163.61 ( ! [B_i] :
% 163.96/163.61 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),B_i))
% 163.96/163.61 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),V_n_2)) )
% 163.96/163.61 => 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))) )
% 163.96/163.61 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2))
% 163.96/163.61 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(V_f_2,V_m_2)),V_k_2))
% 163.96/163.61 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),hAPP(V_f_2,V_n_2)))
% 163.96/163.61 => ? [B_i] :
% 163.96/163.61 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),B_i))
% 163.96/163.61 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_i),V_n_2))
% 163.96/163.61 & hAPP(V_f_2,B_i) = V_k_2 ) ) ) ) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_min__max_OSup__fin_Oeq__fold_H,axiom,
% 163.96/163.61 ! [V_x_2,V_A_2,T_b] :
% 163.96/163.61 ( class_Orderings_Olinorder(T_b)
% 163.96/163.61 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.96/163.61 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 163.96/163.61 => 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) ) ) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_fold__image__def,axiom,
% 163.96/163.61 ! [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)) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_fold__empty,axiom,
% 163.96/163.61 ! [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 ).
% 163.96/163.61
% 163.96/163.61 fof(fact_folding_Oeq__fold,axiom,
% 163.96/163.61 ! [V_s_2,V_A_2,V_F_2,V_f_2,T_c,T_b] :
% 163.96/163.61 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2)
% 163.96/163.61 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.96/163.61 => 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) ) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_fold__def,axiom,
% 163.96/163.61 ! [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)) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_union__fold__insert,axiom,
% 163.96/163.61 ! [V_B_2,V_A_2,T_b] :
% 163.96/163.61 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.96/163.61 => 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) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_fold__sup__insert,axiom,
% 163.96/163.61 ! [V_a_2,V_b_2,V_A_2,T_b] :
% 163.96/163.61 ( class_Lattices_Osemilattice__sup(T_b)
% 163.96/163.61 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.96/163.61 => 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)) ) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_fold__inf__insert,axiom,
% 163.96/163.61 ! [V_a_2,V_b_2,V_A_2,T_b] :
% 163.96/163.61 ( class_Lattices_Osemilattice__inf(T_b)
% 163.96/163.61 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.96/163.61 => 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)) ) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_min__max_Ofold__inf__insert,axiom,
% 163.96/163.61 ! [V_a_2,V_b_2,V_A_2,T_b] :
% 163.96/163.61 ( class_Orderings_Olinorder(T_b)
% 163.96/163.61 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.96/163.61 => 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)) ) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_min__max_Ofold__sup__insert,axiom,
% 163.96/163.61 ! [V_a_2,V_b_2,V_A_2,T_b] :
% 163.96/163.61 ( class_Orderings_Olinorder(T_b)
% 163.96/163.61 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.96/163.61 => 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)) ) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_sup__Sup__fold__sup,axiom,
% 163.96/163.61 ! [V_B_2,V_A_2,T_b] :
% 163.96/163.61 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 163.96/163.61 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.96/163.61 => 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) ) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_inf__Inf__fold__inf,axiom,
% 163.96/163.61 ! [V_B_2,V_A_2,T_b] :
% 163.96/163.61 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 163.96/163.61 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.96/163.61 => 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) ) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_fun__left__comm__idem_Ofold__insert__idem2,axiom,
% 163.96/163.61 ! [V_x_2,V_z_2,V_A_2,V_f_2,T_c,T_b] :
% 163.96/163.61 ( c_Finite__Set_Ofun__left__comm__idem(T_b,T_c,V_f_2)
% 163.96/163.61 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.96/163.61 => 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) ) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_fun__left__comm__idem_Ofold__insert__idem,axiom,
% 163.96/163.61 ! [V_x_2,V_z_2,V_A_2,V_f_2,T_c,T_b] :
% 163.96/163.61 ( c_Finite__Set_Ofun__left__comm__idem(T_b,T_c,V_f_2)
% 163.96/163.61 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.96/163.61 => 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)) ) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_sup__SUPR__fold__sup,axiom,
% 163.96/163.61 ! [V_f_2,V_B_2,V_A_2,T_b,T_c] :
% 163.96/163.61 ( class_Complete__Lattice_Ocomplete__lattice(T_c)
% 163.96/163.61 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.96/163.61 => 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) ) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_inf__INFI__fold__inf,axiom,
% 163.96/163.61 ! [V_f_2,V_B_2,V_A_2,T_b,T_c] :
% 163.96/163.61 ( class_Complete__Lattice_Ocomplete__lattice(T_c)
% 163.96/163.61 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.96/163.61 => 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) ) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_folding__one__idem_Oeq__fold__idem_H,axiom,
% 163.96/163.61 ! [V_a_2,V_A_2,V_F_2,V_f_2,T_b] :
% 163.96/163.61 ( c_Finite__Set_Ofolding__one__idem(T_b,V_f_2,V_F_2)
% 163.96/163.61 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.96/163.61 => 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) ) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_sup__le__fold__sup,axiom,
% 163.96/163.61 ! [V_b_2,V_a_2,V_A_2,T_b] :
% 163.96/163.61 ( class_Lattices_Osemilattice__sup(T_b)
% 163.96/163.61 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.96/163.61 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 163.96/163.61 => 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))) ) ) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_fold__inf__le__inf,axiom,
% 163.96/163.61 ! [V_b_2,V_a_2,V_A_2,T_b] :
% 163.96/163.61 ( class_Lattices_Osemilattice__inf(T_b)
% 163.96/163.61 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.96/163.61 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 163.96/163.61 => 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))) ) ) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_min__max_Ofold__inf__le__inf,axiom,
% 163.96/163.61 ! [V_b_2,V_a_2,V_A_2,T_b] :
% 163.96/163.61 ( class_Orderings_Olinorder(T_b)
% 163.96/163.61 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.96/163.61 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 163.96/163.61 => 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))) ) ) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_min__max_Osup__le__fold__sup,axiom,
% 163.96/163.61 ! [V_b_2,V_a_2,V_A_2,T_b] :
% 163.96/163.61 ( class_Orderings_Olinorder(T_b)
% 163.96/163.61 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.96/163.61 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 163.96/163.61 => 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))) ) ) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_Sup__fold__sup,axiom,
% 163.96/163.61 ! [V_A_2,T_b] :
% 163.96/163.61 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 163.96/163.61 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.96/163.61 => 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) ) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_Inf__fold__inf,axiom,
% 163.96/163.61 ! [V_A_2,T_b] :
% 163.96/163.61 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 163.96/163.61 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.96/163.61 => 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) ) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_fold1__eq__fold__idem,axiom,
% 163.96/163.61 ! [V_a_2,V_A_2,T_b] :
% 163.96/163.61 ( class_Lattices_Oab__semigroup__idem__mult(T_b)
% 163.96/163.61 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.96/163.61 => 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) ) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_Sup__fin_Oeq__fold__idem_H,axiom,
% 163.96/163.61 ! [V_a_2,V_A_2,T_b] :
% 163.96/163.61 ( class_Lattices_Olattice(T_b)
% 163.96/163.61 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.96/163.61 => 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) ) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_Inf__fin_Oeq__fold__idem_H,axiom,
% 163.96/163.61 ! [V_a_2,V_A_2,T_b] :
% 163.96/163.61 ( class_Lattices_Olattice(T_b)
% 163.96/163.61 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.96/163.61 => 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) ) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_Min_Oeq__fold__idem_H,axiom,
% 163.96/163.61 ! [V_a_2,V_A_2,T_b] :
% 163.96/163.61 ( class_Orderings_Olinorder(T_b)
% 163.96/163.61 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.96/163.61 => 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) ) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_Max_Oeq__fold__idem_H,axiom,
% 163.96/163.61 ! [V_a_2,V_A_2,T_b] :
% 163.96/163.61 ( class_Orderings_Olinorder(T_b)
% 163.96/163.61 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.96/163.61 => 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) ) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_min__max_OInf__fin_Oeq__fold__idem_H,axiom,
% 163.96/163.61 ! [V_a_2,V_A_2,T_b] :
% 163.96/163.61 ( class_Orderings_Olinorder(T_b)
% 163.96/163.61 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.96/163.61 => 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) ) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_min__max_OSup__fin_Oeq__fold__idem_H,axiom,
% 163.96/163.61 ! [V_a_2,V_A_2,T_b] :
% 163.96/163.61 ( class_Orderings_Olinorder(T_b)
% 163.96/163.61 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.96/163.61 => 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) ) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_minus__fold__remove,axiom,
% 163.96/163.61 ! [V_B_2,V_A_2,T_b] :
% 163.96/163.61 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.96/163.61 => 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) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_folding__one_Oeq__fold_H,axiom,
% 163.96/163.61 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_b] :
% 163.96/163.61 ( c_Finite__Set_Ofolding__one(T_b,V_f_2,V_F_2)
% 163.96/163.61 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.96/163.61 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 163.96/163.61 => 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) ) ) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_SUPR__fold__sup,axiom,
% 163.96/163.61 ! [V_f_2,V_A_2,T_b,T_c] :
% 163.96/163.61 ( class_Complete__Lattice_Ocomplete__lattice(T_c)
% 163.96/163.61 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.96/163.61 => 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) ) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_INFI__fold__inf,axiom,
% 163.96/163.61 ! [V_f_2,V_A_2,T_b,T_c] :
% 163.96/163.61 ( class_Complete__Lattice_Ocomplete__lattice(T_c)
% 163.96/163.61 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.96/163.61 => 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) ) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_fold1__eq__fold,axiom,
% 163.96/163.61 ! [V_a_2,V_A_2,T_b] :
% 163.96/163.61 ( class_Groups_Oab__semigroup__mult(T_b)
% 163.96/163.61 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.96/163.61 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 163.96/163.61 => 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) ) ) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_Sup__fin_Oeq__fold_H,axiom,
% 163.96/163.61 ! [V_x_2,V_A_2,T_b] :
% 163.96/163.61 ( class_Lattices_Olattice(T_b)
% 163.96/163.61 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.96/163.61 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 163.96/163.61 => 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) ) ) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_Inf__fin_Oeq__fold_H,axiom,
% 163.96/163.61 ! [V_x_2,V_A_2,T_b] :
% 163.96/163.61 ( class_Lattices_Olattice(T_b)
% 163.96/163.61 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.96/163.61 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 163.96/163.61 => 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) ) ) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_Min_Oeq__fold_H,axiom,
% 163.96/163.61 ! [V_x_2,V_A_2,T_b] :
% 163.96/163.61 ( class_Orderings_Olinorder(T_b)
% 163.96/163.61 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.96/163.61 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 163.96/163.61 => 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) ) ) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_Max_Oeq__fold_H,axiom,
% 163.96/163.61 ! [V_x_2,V_A_2,T_b] :
% 163.96/163.61 ( class_Orderings_Olinorder(T_b)
% 163.96/163.61 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.96/163.61 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 163.96/163.61 => 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) ) ) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_min__max_OInf__fin_Oeq__fold_H,axiom,
% 163.96/163.61 ! [V_x_2,V_A_2,T_b] :
% 163.96/163.61 ( class_Orderings_Olinorder(T_b)
% 163.96/163.61 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.96/163.61 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 163.96/163.61 => 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) ) ) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_fun__left__comm_Ofold__rec,axiom,
% 163.96/163.61 ! [V_z_2,V_x_2,V_A_2,V_f_2,T_c,T_b] :
% 163.96/163.61 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2)
% 163.96/163.61 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.96/163.61 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 163.96/163.61 => 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)))))) ) ) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_fun__left__comm_Ofold__insert__remove,axiom,
% 163.96/163.61 ! [V_x_2,V_z_2,V_A_2,V_f_2,T_c,T_b] :
% 163.96/163.61 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2)
% 163.96/163.61 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.96/163.61 => 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)))))) ) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_fun__left__comm_Ofold__graph__determ,axiom,
% 163.96/163.61 ! [V_y_2,V_x_2,V_A_2,V_z_2,V_f_2,T_c,T_b] :
% 163.96/163.61 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2)
% 163.96/163.61 => ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,V_A_2),V_x_2))
% 163.96/163.61 => ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,V_A_2),V_y_2))
% 163.96/163.61 => V_y_2 = V_x_2 ) ) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_fun__left__comm_Ofun__left__comm,axiom,
% 163.96/163.61 ! [V_z_2,V_y_2,V_x_2,V_f_2,T_c,T_b] :
% 163.96/163.61 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2)
% 163.96/163.61 => hAPP(hAPP(V_f_2,V_x_2),hAPP(hAPP(V_f_2,V_y_2),V_z_2)) = hAPP(hAPP(V_f_2,V_y_2),hAPP(hAPP(V_f_2,V_x_2),V_z_2)) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_fun__left__comm_Ofun__left__comm__apply,axiom,
% 163.96/163.61 ! [V_g_2,T_d,V_f_2,T_c,T_b] :
% 163.96/163.61 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2)
% 163.96/163.61 => 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)) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_fun__left__comm,axiom,
% 163.96/163.61 ! [T_b] :
% 163.96/163.61 ( class_Groups_Oab__semigroup__mult(T_b)
% 163.96/163.61 => c_Finite__Set_Ofun__left__comm(T_b,T_b,c_Groups_Otimes__class_Otimes(T_b)) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_fun__left__comm_Ofun__comp__comm,axiom,
% 163.96/163.61 ! [V_y_2,V_x_2,V_f_2,T_c,T_b] :
% 163.96/163.61 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2)
% 163.96/163.61 => 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)) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_fun__left__comm_Ofold__fun__comm,axiom,
% 163.96/163.61 ! [V_z_2,V_x_2,V_A_2,V_f_2,T_c,T_b] :
% 163.96/163.61 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2)
% 163.96/163.61 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.96/163.61 => 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) ) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_fun__left__comm_Ofold__equality,axiom,
% 163.96/163.61 ! [V_y_2,V_A_2,V_z_2,V_f_2,T_c,T_b] :
% 163.96/163.61 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2)
% 163.96/163.61 => ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,V_A_2),V_y_2))
% 163.96/163.61 => hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,V_f_2),V_z_2),V_A_2) = V_y_2 ) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_fun__left__comm_Ofold__graph__fold,axiom,
% 163.96/163.61 ! [V_z_2,V_A_2,V_f_2,T_c,T_b] :
% 163.96/163.61 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2)
% 163.96/163.61 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.96/163.61 => 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))) ) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_fun__left__comm_Ofold__insert2,axiom,
% 163.96/163.61 ! [V_z_2,V_x_2,V_A_2,V_f_2,T_c,T_b] :
% 163.96/163.61 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2)
% 163.96/163.61 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.96/163.61 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 163.96/163.61 => 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) ) ) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_fun__left__comm_Ofold__insert,axiom,
% 163.96/163.61 ! [V_z_2,V_x_2,V_A_2,V_f_2,T_c,T_b] :
% 163.96/163.61 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2)
% 163.96/163.61 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.96/163.61 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 163.96/163.61 => 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)) ) ) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_fun__left__comm_Ofold__graph__insertE__aux,axiom,
% 163.96/163.61 ! [V_a_2,V_y_2,V_A_2,V_z_2,V_f_2,T_c,T_b] :
% 163.96/163.61 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2)
% 163.96/163.61 => ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,V_A_2),V_y_2))
% 163.96/163.61 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 163.96/163.61 => ? [B_y_H] :
% 163.96/163.61 ( V_y_2 = hAPP(hAPP(V_f_2,V_a_2),B_y_H)
% 163.96/163.61 & 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)) ) ) ) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_fun__left__comm_Ofold__graph__insertE,axiom,
% 163.96/163.61 ! [V_v_2,V_A_2,V_x_2,V_z_2,V_f_2,T_c,T_b] :
% 163.96/163.61 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2)
% 163.96/163.61 => ( 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))
% 163.96/163.61 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 163.96/163.61 => ~ ! [B_y] :
% 163.96/163.61 ( V_v_2 = hAPP(hAPP(V_f_2,V_x_2),B_y)
% 163.96/163.61 => ~ hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,V_A_2),B_y)) ) ) ) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_min__max_Ofold__sup__le__sup,axiom,
% 163.96/163.61 ! [V_c_2,V_b_2,V_A_2,T_b] :
% 163.96/163.61 ( class_Orderings_Olinorder(T_b)
% 163.96/163.61 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.96/163.61 => ( ! [B_x] :
% 163.96/163.61 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 163.96/163.61 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),B_x),V_b_2)) )
% 163.96/163.61 => 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))) ) ) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_min__max_Oinf__le__fold__inf,axiom,
% 163.96/163.61 ! [V_c_2,V_b_2,V_A_2,T_b] :
% 163.96/163.61 ( class_Orderings_Olinorder(T_b)
% 163.96/163.61 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.96/163.61 => ( ! [B_x] :
% 163.96/163.61 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 163.96/163.61 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),B_x)) )
% 163.96/163.61 => 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))) ) ) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_inf__le__fold__inf,axiom,
% 163.96/163.61 ! [V_c_2,V_b_2,V_A_2,T_b] :
% 163.96/163.61 ( class_Lattices_Osemilattice__inf(T_b)
% 163.96/163.61 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.96/163.61 => ( ! [B_x] :
% 163.96/163.61 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 163.96/163.61 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),B_x)) )
% 163.96/163.61 => 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))) ) ) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_fold__sup__le__sup,axiom,
% 163.96/163.61 ! [V_c_2,V_b_2,V_A_2,T_b] :
% 163.96/163.61 ( class_Lattices_Osemilattice__sup(T_b)
% 163.96/163.61 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.96/163.61 => ( ! [B_x] :
% 163.96/163.61 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 163.96/163.61 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),B_x),V_b_2)) )
% 163.96/163.61 => 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))) ) ) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_mod__div__decomp,axiom,
% 163.96/163.61 ! [V_b,V_a,T_a] :
% 163.96/163.61 ( class_Divides_Osemiring__div(T_a)
% 163.96/163.61 => 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)) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_folding__image__simple__idem_Ounion__idem,axiom,
% 163.96/163.61 ! [V_B_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] :
% 163.96/163.61 ( c_Finite__Set_Ofolding__image__simple__idem(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2)
% 163.96/163.61 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 163.96/163.61 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2))
% 163.96/163.61 => 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)) ) ) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_folding__image__simple__idem_Oidem,axiom,
% 163.96/163.61 ! [V_x_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] :
% 163.96/163.61 ( c_Finite__Set_Ofolding__image__simple__idem(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2)
% 163.96/163.61 => hAPP(hAPP(V_f_2,V_x_2),V_x_2) = V_x_2 ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_folding__image__simple__idem_Oin__idem,axiom,
% 163.96/163.61 ! [V_x_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] :
% 163.96/163.61 ( c_Finite__Set_Ofolding__image__simple__idem(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2)
% 163.96/163.61 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 163.96/163.61 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),V_A_2))
% 163.96/163.61 => hAPP(hAPP(V_f_2,hAPP(V_g_2,V_x_2)),hAPP(V_F_2,V_A_2)) = hAPP(V_F_2,V_A_2) ) ) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_folding__image__simple__idem_Oinsert__idem,axiom,
% 163.96/163.61 ! [V_x_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] :
% 163.96/163.61 ( c_Finite__Set_Ofolding__image__simple__idem(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2)
% 163.96/163.61 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 163.96/163.61 => 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)) ) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_folding__image__simple__idem_Osubset__idem,axiom,
% 163.96/163.61 ! [V_B_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] :
% 163.96/163.61 ( c_Finite__Set_Ofolding__image__simple__idem(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2)
% 163.96/163.61 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 163.96/163.61 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),V_B_2),V_A_2))
% 163.96/163.61 => hAPP(hAPP(V_f_2,hAPP(V_F_2,V_B_2)),hAPP(V_F_2,V_A_2)) = hAPP(V_F_2,V_A_2) ) ) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_transfer__nat__int__set__cong,axiom,
% 163.96/163.61 ! [V_P_H_2,V_P_2] :
% 163.96/163.61 ( ! [B_x] :
% 163.96/163.61 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x))
% 163.96/163.61 => ( hBOOL(hAPP(V_P_2,B_x))
% 163.96/163.61 <=> hBOOL(hAPP(V_P_H_2,B_x)) ) )
% 163.96/163.61 => 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)) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_rel__compE,axiom,
% 163.96/163.61 ! [V_s_2,V_r_2,T_d,V_xz_2,T_c,T_b] :
% 163.96/163.61 ( 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)))
% 163.96/163.61 => ~ ! [B_x,B_y,B_z] :
% 163.96/163.61 ( V_xz_2 = hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),B_x),B_z)
% 163.96/163.61 => ( 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))
% 163.96/163.61 => ~ 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)) ) ) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_Nitpick_Oplus__frac__def,axiom,
% 163.96/163.61 ! [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))) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_setprod__pos,axiom,
% 163.96/163.61 ! [V_f_2,V_A_2,T_b,T_c] :
% 163.96/163.61 ( class_Rings_Olinordered__semidom(T_c)
% 163.96/163.61 => ( ! [B_x] :
% 163.96/163.61 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 163.96/163.61 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),c_Groups_Ozero__class_Ozero(T_c)),hAPP(V_f_2,B_x))) )
% 163.96/163.61 => 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))) ) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_Nitpick_Otimes__frac__def,axiom,
% 163.96/163.61 ! [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))) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_Nitpick_Oof__frac__def,axiom,
% 163.96/163.61 ! [V_q,T_a,T_b] :
% 163.96/163.61 ( ( class_Rings_Oinverse(T_b)
% 163.96/163.61 & class_Rings_Oring__1(T_b) )
% 163.96/163.61 => 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))) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_Nitpick_Oinverse__frac__def,axiom,
% 163.96/163.61 ! [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)) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_Nitpick_Ouminus__frac__def,axiom,
% 163.96/163.61 ! [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))) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_Nitpick_Oless__frac__def,axiom,
% 163.96/163.61 ! [V_r_2,V_q_2,T_b] :
% 163.96/163.61 ( c_Nitpick_Oless__frac(T_b,V_q_2,V_r_2)
% 163.96/163.61 <=> 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))) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_Nitpick_Oless__eq__frac__def,axiom,
% 163.96/163.61 ! [V_r_2,V_q_2,T_b] :
% 163.96/163.61 ( c_Nitpick_Oless__eq__frac(T_b,V_q_2,V_r_2)
% 163.96/163.61 <=> 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))) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_Nitpick_Onum__def,axiom,
% 163.96/163.61 ! [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)) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_Nitpick_Odenom__def,axiom,
% 163.96/163.61 ! [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)) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_internal__split__def,axiom,
% 163.96/163.61 ! [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) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_setprod__nonneg,axiom,
% 163.96/163.61 ! [V_f_2,V_A_2,T_b,T_c] :
% 163.96/163.61 ( class_Rings_Olinordered__semidom(T_c)
% 163.96/163.61 => ( ! [B_x] :
% 163.96/163.61 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 163.96/163.61 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),c_Groups_Ozero__class_Ozero(T_c)),hAPP(V_f_2,B_x))) )
% 163.96/163.61 => 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))) ) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_internal__split__conv,axiom,
% 163.96/163.61 ! [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) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_bool_Osize_I1_J,axiom,
% 163.96/163.61 c_HOL_Obool_Obool__size(c_fTrue) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_bool_Osize_I2_J,axiom,
% 163.96/163.61 c_HOL_Obool_Obool__size(c_fFalse) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_finite__less__ub,axiom,
% 163.96/163.61 ! [V_u_2,V_f_2] :
% 163.96/163.61 ( ! [B_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_n),hAPP(V_f_2,B_n)))
% 163.96/163.61 => 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)))) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_lenlex__def,axiom,
% 163.96/163.61 ! [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)))) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_lexn__length,axiom,
% 163.96/163.61 ! [V_n_2,V_r_2,V_ys_2,V_xs_2,T_b] :
% 163.96/163.61 ( 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)))
% 163.96/163.61 => ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) = V_n_2
% 163.96/163.61 & hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_2) = V_n_2 ) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_neq__if__length__neq,axiom,
% 163.96/163.61 ! [V_ys,V_xs,T_a] :
% 163.96/163.61 ( 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)
% 163.96/163.61 => V_xs != V_ys ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_lenlex__conv,axiom,
% 163.96/163.61 ! [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)))))) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_length__sublist,axiom,
% 163.96/163.61 ! [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)))) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_lexn_Osimps_I2_J,axiom,
% 163.96/163.61 ! [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)))))) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_impossible__Cons,axiom,
% 163.96/163.61 ! [V_x,V_ys,V_xs,T_a] :
% 163.96/163.61 ( 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)))
% 163.96/163.61 => V_xs != hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_ys) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_list_Oinject,axiom,
% 163.96/163.61 ! [V_list_H_2,V_a_H_2,V_list_2,V_a_2,T_b] :
% 163.96/163.61 ( 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)
% 163.96/163.61 <=> ( V_a_2 = V_a_H_2
% 163.96/163.61 & V_list_2 = V_list_H_2 ) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_not__Cons__self2,axiom,
% 163.96/163.61 ! [V_xs,V_x,T_a] : hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs) != V_xs ).
% 163.96/163.61
% 163.96/163.61 fof(fact_not__Cons__self,axiom,
% 163.96/163.61 ! [V_x,T_a,V_xs] : V_xs != hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_list_Osize_I4_J,axiom,
% 163.96/163.61 ! [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))) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_Cons__in__lex,axiom,
% 163.96/163.61 ! [V_r_2,V_ys_2,V_y_2,V_xs_2,V_x_2,T_b] :
% 163.96/163.61 ( 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)))
% 163.96/163.61 <=> ( ( 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))
% 163.96/163.61 & 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) )
% 163.96/163.61 | ( V_x_2 = V_y_2
% 163.96/163.61 & 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))) ) ) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_set__Cons__def,axiom,
% 163.96/163.61 ! [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)))))) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_pick_Osimps,axiom,
% 163.96/163.61 ! [V_xs,V_x,T_a,V_i] :
% 163.96/163.61 ( ( 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)))
% 163.96/163.61 => 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) )
% 163.96/163.61 & ( ~ 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)))
% 163.96/163.61 => 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))) ) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_select__weight__cons__zero,axiom,
% 163.96/163.61 ! [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) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_lexord__cons__cons,axiom,
% 163.96/163.61 ! [V_r_2,V_y_2,V_b_2,V_x_2,V_a_2,T_b] :
% 163.96/163.61 ( 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)))
% 163.96/163.61 <=> ( 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))
% 163.96/163.61 | ( V_a_2 = V_b_2
% 163.96/163.61 & 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))) ) ) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_lexord__lex,axiom,
% 163.96/163.61 ! [V_r_2,V_y_2,V_x_2,T_b] :
% 163.96/163.61 ( 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)))
% 163.96/163.61 <=> ( 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)))
% 163.96/163.61 & 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) ) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_rtrancl__listrel1__ConsI2,axiom,
% 163.96/163.61 ! [V_ys_2,V_xs_2,V_r_2,V_y_2,V_x_2,T_b] :
% 163.96/163.61 ( 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)))
% 163.96/163.61 => ( 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))))
% 163.96/163.61 => 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)))) ) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_list_Osize_I2_J,axiom,
% 163.96/163.61 ! [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))) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_Cons__acc__listrel1I,axiom,
% 163.96/163.61 ! [V_xs_2,V_r_2,V_x_2,T_b] :
% 163.96/163.61 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),c_Wellfounded_Oacc(T_b,V_r_2)))
% 163.96/163.61 => ( 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))))
% 163.96/163.61 => 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)))) ) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_listrel1__converse,axiom,
% 163.96/163.61 ! [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)) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_listrel1__mono,axiom,
% 163.96/163.61 ! [V_s_2,V_r_2,T_b] :
% 163.96/163.61 ( 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))
% 163.96/163.61 => 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))) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_listrel1__rtrancl__subset__rtrancl__listrel1,axiom,
% 163.96/163.61 ! [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)))) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_listrel1I2,axiom,
% 163.96/163.61 ! [V_x_2,V_r_2,V_ys_2,V_xs_2,T_b] :
% 163.96/163.61 ( 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)))
% 163.96/163.61 => 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))) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_rtrancl__listrel1__ConsI1,axiom,
% 163.96/163.61 ! [V_x_2,V_r_2,V_ys_2,V_xs_2,T_b] :
% 163.96/163.61 ( 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))))
% 163.96/163.61 => 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)))) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_listrel1__eq__len,axiom,
% 163.96/163.61 ! [V_r_2,V_ys_2,V_xs_2,T_b] :
% 163.96/163.61 ( 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)))
% 163.96/163.61 => 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) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_rtrancl__listrel1__eq__len,axiom,
% 163.96/163.61 ! [V_r_2,V_y_2,V_x_2,T_b] :
% 163.96/163.61 ( 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))))
% 163.96/163.61 => 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) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_in__listrel1__converse,axiom,
% 163.96/163.61 ! [V_r_2,V_y_2,V_x_2,T_b] :
% 163.96/163.61 ( 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))))
% 163.96/163.61 <=> 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)))) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_Cons__listrel1__Cons,axiom,
% 163.96/163.61 ! [V_r_2,V_ys_2,V_y_2,V_xs_2,V_x_2,T_b] :
% 163.96/163.61 ( 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)))
% 163.96/163.61 <=> ( ( 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))
% 163.96/163.61 & V_xs_2 = V_ys_2 )
% 163.96/163.61 | ( V_x_2 = V_y_2
% 163.96/163.61 & 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))) ) ) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_listrel1I1,axiom,
% 163.96/163.61 ! [V_xs_2,V_r_2,V_y_2,V_x_2,T_b] :
% 163.96/163.61 ( 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))
% 163.96/163.61 => 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))) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_listrel__Cons,axiom,
% 163.96/163.61 ! [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))))) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_lexord__irreflexive,axiom,
% 163.96/163.61 ! [V_y_2,V_r_2,T_b] :
% 163.96/163.61 ( ! [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))
% 163.96/163.61 => ~ 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))) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_listrel__rtrancl__refl,axiom,
% 163.96/163.61 ! [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)))) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_listrel__mono,axiom,
% 163.96/163.61 ! [V_s_2,V_r_2,T_b] :
% 163.96/163.61 ( 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))
% 163.96/163.61 => 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))) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_listrel__subset__rtrancl__listrel1,axiom,
% 163.96/163.61 ! [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)))) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_listrel__eq__len,axiom,
% 163.96/163.61 ! [V_r_2,V_ys_2,V_xs_2,T_b] :
% 163.96/163.61 ( 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)))
% 163.96/163.61 => 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) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_listrel__rtrancl__trans,axiom,
% 163.96/163.61 ! [V_zs_2,V_r_2,V_ys_2,V_xs_2,T_b] :
% 163.96/163.61 ( 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))))
% 163.96/163.61 => ( 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))))
% 163.96/163.61 => 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)))) ) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_listrel__rtrancl__eq__rtrancl__listrel1,axiom,
% 163.96/163.61 ! [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)) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_listrel__reflcl__if__listrel1,axiom,
% 163.96/163.61 ! [V_r_2,V_ys_2,V_xs_2,T_b] :
% 163.96/163.61 ( 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)))
% 163.96/163.61 => 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)))) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_listrel1__subset__listrel,axiom,
% 163.96/163.61 ! [V_r_H_2,V_r_2,T_b] :
% 163.96/163.61 ( 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))
% 163.96/163.61 => ( c_Relation_Orefl__on(T_b,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),V_r_H_2)
% 163.96/163.61 => 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))) ) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_rtrancl__listrel1__if__listrel,axiom,
% 163.96/163.61 ! [V_r_2,V_ys_2,V_xs_2,T_b] :
% 163.96/163.61 ( 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)))
% 163.96/163.61 => 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)))) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_listrel_OCons,axiom,
% 163.96/163.61 ! [V_ys_2,V_xs_2,V_r_2,V_y_2,V_x_2,T_b] :
% 163.96/163.61 ( 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))
% 163.96/163.61 => ( 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)))
% 163.96/163.61 => 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))) ) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_listrelp__listrel__eq,axiom,
% 163.96/163.61 ! [V_xa_2,V_x_2,V_r_2,T_b] :
% 163.96/163.61 ( 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)
% 163.96/163.61 <=> 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))) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_listrel__Cons2,axiom,
% 163.96/163.61 ! [V_r_2,V_ys_2,V_y_2,V_xs_2,T_b] :
% 163.96/163.61 ( 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)))
% 163.96/163.61 => ~ ! [B_x,B_xs] :
% 163.96/163.61 ( V_xs_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),B_x),B_xs)
% 163.96/163.61 => ( 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))
% 163.96/163.61 => ~ 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))) ) ) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_listrelp_Oequations_I2_J,axiom,
% 163.96/163.61 ! [V_a4_2,V_a2_2,V_a3_2,V_a1_2,V_r_2,T_b] :
% 163.96/163.61 ( 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))
% 163.96/163.61 <=> ( hBOOL(hAPP(hAPP(V_r_2,V_a1_2),V_a2_2))
% 163.96/163.61 & c_List_Olistrelp(T_b,V_r_2,V_a3_2,V_a4_2) ) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_listrelp_OCons,axiom,
% 163.96/163.61 ! [V_ys_2,V_xs_2,T_b,V_y_2,V_x_2,V_r_2] :
% 163.96/163.61 ( hBOOL(hAPP(hAPP(V_r_2,V_x_2),V_y_2))
% 163.96/163.61 => ( c_List_Olistrelp(T_b,V_r_2,V_xs_2,V_ys_2)
% 163.96/163.61 => 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)) ) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_listrel__Cons1,axiom,
% 163.96/163.61 ! [V_r_2,V_xs_2,V_ys_2,V_y_2,T_b] :
% 163.96/163.61 ( 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)))
% 163.96/163.61 => ~ ! [B_y,B_ys] :
% 163.96/163.61 ( V_xs_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),B_y),B_ys)
% 163.96/163.61 => ( 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))
% 163.96/163.61 => ~ 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))) ) ) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_listrel__subset,axiom,
% 163.96/163.61 ! [V_A_2,V_r_2,T_b] :
% 163.96/163.61 ( 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))))
% 163.96/163.61 => 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))))) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_lists__UNIV,axiom,
% 163.96/163.61 ! [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)) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_lists__mono,axiom,
% 163.96/163.61 ! [V_B_2,V_A_2,T_b] :
% 163.96/163.61 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 163.96/163.61 => 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))) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_equiv__listrel,axiom,
% 163.96/163.61 ! [V_r_2,V_A_2,T_b] :
% 163.96/163.61 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 163.96/163.61 => 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)) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_listrel__refl__on,axiom,
% 163.96/163.61 ! [V_r_2,V_A_2,T_b] :
% 163.96/163.61 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2)
% 163.96/163.61 => 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)) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_Cons__in__lists__iff,axiom,
% 163.96/163.61 ! [V_A_2,V_xs_2,V_x_2,T_b] :
% 163.96/163.61 ( 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)))
% 163.96/163.61 <=> ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 163.96/163.61 & hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_xs_2),c_List_Olists(T_b,V_A_2))) ) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_lists__accI,axiom,
% 163.96/163.61 ! [V_r_2,V_xs_2,T_b] :
% 163.96/163.61 ( 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))))
% 163.96/163.61 => 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)))) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_lists__accD,axiom,
% 163.96/163.61 ! [V_r_2,V_xs_2,T_b] :
% 163.96/163.61 ( 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))))
% 163.96/163.61 => 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)))) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_listrel__iff__nth,axiom,
% 163.96/163.61 ! [V_r_2,V_ys_2,V_xs_2,T_b] :
% 163.96/163.61 ( 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)))
% 163.96/163.61 <=> ( 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)
% 163.96/163.61 & ! [B_n] :
% 163.96/163.61 ( 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)))
% 163.96/163.61 => 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)) ) ) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_lexord__linear,axiom,
% 163.96/163.61 ! [V_y_2,V_x_2,V_r_2,T_b] :
% 163.96/163.61 ( ! [B_a,B_b] :
% 163.96/163.61 ( 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))
% 163.96/163.61 | B_a = B_b
% 163.96/163.61 | 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)) )
% 163.96/163.61 => ( 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)))
% 163.96/163.61 | V_x_2 = V_y_2
% 163.96/163.61 | 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))) ) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_infinite__UNIV__listI,axiom,
% 163.96/163.61 ! [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)))) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_list__eq__iff__nth__eq,axiom,
% 163.96/163.61 ! [T_b,V_ys_2,V_xs_2] :
% 163.96/163.61 ( V_xs_2 = V_ys_2
% 163.96/163.61 <=> ( 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)
% 163.96/163.61 & ! [B_i] :
% 163.96/163.61 ( 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)))
% 163.96/163.61 => hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_i) = hAPP(hAPP(c_List_Onth(T_b),V_ys_2),B_i) ) ) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_nth__Cons__0,axiom,
% 163.96/163.61 ! [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 ).
% 163.96/163.61
% 163.96/163.61 fof(fact_nth__Cons__Suc,axiom,
% 163.96/163.61 ! [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) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_nth_Osimps,axiom,
% 163.96/163.61 ! [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) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_nth__Cons_H,axiom,
% 163.96/163.61 ! [V_xs,V_x,T_a,V_n] :
% 163.96/163.61 ( ( V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 163.96/163.61 => hAPP(hAPP(c_List_Onth(T_a),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)),V_n) = V_x )
% 163.96/163.61 & ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 163.96/163.61 => 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))) ) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_nth__Cons__number__of,axiom,
% 163.96/163.61 ! [V_xs,V_x,T_a,V_v] :
% 163.96/163.61 ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 163.96/163.61 => 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 )
% 163.96/163.61 & ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 163.96/163.61 => 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))) ) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_lexord__take__index__conv,axiom,
% 163.96/163.61 ! [V_r_2,V_y_2,V_x_2,T_b] :
% 163.96/163.61 ( 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)))
% 163.96/163.61 <=> ( ( 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)))
% 163.96/163.61 & 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 )
% 163.96/163.61 | ? [B_i] :
% 163.96/163.61 ( 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))))
% 163.96/163.61 & hAPP(hAPP(c_List_Otake(T_b),B_i),V_x_2) = hAPP(hAPP(c_List_Otake(T_b),B_i),V_y_2)
% 163.96/163.61 & 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)) ) ) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_set__sublist,axiom,
% 163.96/163.61 ! [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))))) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_finite__set,axiom,
% 163.96/163.61 ! [V_xs_2,T_b] : hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_List_Oset(T_b),V_xs_2))) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_set__subset__Cons,axiom,
% 163.96/163.61 ! [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)))) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_take__all,axiom,
% 163.96/163.61 ! [V_n,V_xs,T_a] :
% 163.96/163.61 ( 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))
% 163.96/163.61 => hAPP(hAPP(c_List_Otake(T_a),V_n),V_xs) = V_xs ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_set__take__subset,axiom,
% 163.96/163.61 ! [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))) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_set__take__subset__set__take,axiom,
% 163.96/163.61 ! [V_xs_2,T_b,V_n_2,V_m_2] :
% 163.96/163.61 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2))
% 163.96/163.61 => 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)))) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_set__sublist__subset,axiom,
% 163.96/163.61 ! [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))) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_nth__take,axiom,
% 163.96/163.61 ! [V_xs,T_a,V_n,V_i] :
% 163.96/163.61 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_n))
% 163.96/163.61 => 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) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_take__Suc__Cons,axiom,
% 163.96/163.61 ! [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)) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_notin__set__sublistI,axiom,
% 163.96/163.61 ! [V_I_2,V_xs_2,V_x_2,T_b] :
% 163.96/163.61 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 163.96/163.61 => ~ 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)))) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_in__set__takeD,axiom,
% 163.96/163.61 ! [V_xs_2,V_n_2,V_x_2,T_b] :
% 163.96/163.61 ( 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))))
% 163.96/163.61 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_in__set__sublistD,axiom,
% 163.96/163.61 ! [V_I_2,V_xs_2,V_x_2,T_b] :
% 163.96/163.61 ( 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))))
% 163.96/163.61 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_set__ConsD,axiom,
% 163.96/163.61 ! [V_xs_2,V_x_2,V_y_2,T_b] :
% 163.96/163.61 ( 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))))
% 163.96/163.61 => ( V_y_2 = V_x_2
% 163.96/163.61 | hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),hAPP(c_List_Oset(T_b),V_xs_2))) ) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_length__take,axiom,
% 163.96/163.61 ! [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) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_take__take,axiom,
% 163.96/163.61 ! [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) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_List_Oset_Osimps_I2_J,axiom,
% 163.96/163.61 ! [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)) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_sublist__upt__eq__take,axiom,
% 163.96/163.61 ! [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) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_card__length,axiom,
% 163.96/163.61 ! [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))) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_all__set__conv__all__nth,axiom,
% 163.96/163.61 ! [V_P_2,V_xs_2,T_b] :
% 163.96/163.61 ( ! [B_x] :
% 163.96/163.61 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 163.96/163.61 => hBOOL(hAPP(V_P_2,B_x)) )
% 163.96/163.61 <=> ! [B_i] :
% 163.96/163.61 ( 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)))
% 163.96/163.61 => hBOOL(hAPP(V_P_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_i))) ) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_list__size__estimation,axiom,
% 163.96/163.61 ! [V_f_2,V_y_2,V_xs_2,V_x_2,T_b] :
% 163.96/163.61 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 163.96/163.61 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_y_2),hAPP(V_f_2,V_x_2)))
% 163.96/163.61 => 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))) ) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_list__size__estimation_H,axiom,
% 163.96/163.61 ! [V_f_2,V_y_2,V_xs_2,V_x_2,T_b] :
% 163.96/163.61 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 163.96/163.61 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_y_2),hAPP(V_f_2,V_x_2)))
% 163.96/163.61 => 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))) ) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_in__lists__conv__set,axiom,
% 163.96/163.61 ! [V_A_2,V_xs_2,T_b] :
% 163.96/163.61 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_xs_2),c_List_Olists(T_b,V_A_2)))
% 163.96/163.61 <=> ! [B_x] :
% 163.96/163.61 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 163.96/163.61 => hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) ) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_length__pos__if__in__set,axiom,
% 163.96/163.61 ! [V_xs_2,V_x_2,T_b] :
% 163.96/163.61 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 163.96/163.61 => 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))) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_nth__mem,axiom,
% 163.96/163.61 ! [V_xs_2,T_b,V_n_2] :
% 163.96/163.61 ( 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)))
% 163.96/163.61 => 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))) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_in__set__conv__nth,axiom,
% 163.96/163.61 ! [V_xs_2,V_x_2,T_b] :
% 163.96/163.61 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 163.96/163.61 <=> ? [B_i] :
% 163.96/163.61 ( 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)))
% 163.96/163.61 & hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_i) = V_x_2 ) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_lists__eq__set,axiom,
% 163.96/163.61 ! [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)) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_set__conv__nth,axiom,
% 163.96/163.61 ! [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))))) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_finite__lists__length__eq,axiom,
% 163.96/163.61 ! [V_n_2,V_A_2,T_b] :
% 163.96/163.61 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.96/163.61 => 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))))) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_finite__lists__length__le,axiom,
% 163.96/163.61 ! [V_n_2,V_A_2,T_b] :
% 163.96/163.61 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.96/163.61 => 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))))) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_listrel__iff__zip,axiom,
% 163.96/163.61 ! [V_r_2,V_ys_2,V_xs_2,T_b] :
% 163.96/163.61 ( 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)))
% 163.96/163.61 <=> ( 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)
% 163.96/163.61 & ! [B_x] :
% 163.96/163.61 ( 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))))
% 163.96/163.61 => 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)) ) ) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_set__zip,axiom,
% 163.96/163.61 ! [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)))))) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_take__zip,axiom,
% 163.96/163.61 ! [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)) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_length__zip,axiom,
% 163.96/163.61 ! [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)) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_zip__Cons__Cons,axiom,
% 163.96/163.61 ! [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)) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_list__eq__iff__zip__eq,axiom,
% 163.96/163.61 ! [T_b,V_ys_2,V_xs_2] :
% 163.96/163.61 ( V_xs_2 = V_ys_2
% 163.96/163.61 <=> ( 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)
% 163.96/163.61 & ! [B_x] :
% 163.96/163.61 ( 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))))
% 163.96/163.61 => hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_b,tc_HOL_Obool),c_fequal),B_x)) ) ) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_in__set__zipE,axiom,
% 163.96/163.61 ! [V_ys_2,V_xs_2,V_y_2,V_x_2,T_c,T_b] :
% 163.96/163.61 ( 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))))
% 163.96/163.61 => ~ ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 163.96/163.61 => ~ hBOOL(hAPP(hAPP(c_member(T_c),V_y_2),hAPP(c_List_Oset(T_c),V_ys_2))) ) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_set__zip__rightD,axiom,
% 163.96/163.61 ! [V_ys_2,V_xs_2,V_y_2,V_x_2,T_c,T_b] :
% 163.96/163.61 ( 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))))
% 163.96/163.61 => hBOOL(hAPP(hAPP(c_member(T_c),V_y_2),hAPP(c_List_Oset(T_c),V_ys_2))) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_set__zip__leftD,axiom,
% 163.96/163.61 ! [V_ys_2,V_xs_2,V_y_2,V_x_2,T_c,T_b] :
% 163.96/163.61 ( 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))))
% 163.96/163.61 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_zip__same,axiom,
% 163.96/163.61 ! [V_xs_2,V_b_2,V_a_2,T_b] :
% 163.96/163.61 ( 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))))
% 163.96/163.61 <=> ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 163.96/163.61 & V_a_2 = V_b_2 ) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_nth__zip,axiom,
% 163.96/163.61 ! [V_ys,T_b,V_xs,T_a,V_i] :
% 163.96/163.61 ( 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)))
% 163.96/163.61 => ( 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)))
% 163.96/163.61 => 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)) ) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_greaterThanLessThan__upto,axiom,
% 163.96/163.61 ! [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)))) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_listsum__setsum__nth,axiom,
% 163.96/163.61 ! [V_xs_2,T_b] :
% 163.96/163.61 ( class_Groups_Ocomm__monoid__add(T_b)
% 163.96/163.61 => 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))) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_atLeastAtMost__upto,axiom,
% 163.96/163.61 ! [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)) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_set__upto,axiom,
% 163.96/163.61 ! [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) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_listsum__eq__0__nat__iff__nat,axiom,
% 163.96/163.61 ! [V_ns_2] :
% 163.96/163.61 ( hAPP(c_List_Omonoid__add__class_Olistsum(tc_Nat_Onat),V_ns_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 163.96/163.61 <=> ! [B_x] :
% 163.96/163.61 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_x),hAPP(c_List_Oset(tc_Nat_Onat),V_ns_2)))
% 163.96/163.61 => B_x = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_listsum__simps_I2_J,axiom,
% 163.96/163.61 ! [V_xs,V_x,T_a] :
% 163.96/163.61 ( class_Groups_Omonoid__add(T_a)
% 163.96/163.61 => 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)) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_elem__le__listsum__nat,axiom,
% 163.96/163.61 ! [V_ns,V_k] :
% 163.96/163.61 ( 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)))
% 163.96/163.61 => 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))) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_atLeastLessThan__upto,axiom,
% 163.96/163.61 ! [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)))) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_greaterThanAtMost__upto,axiom,
% 163.96/163.61 ! [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)) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_nat__list__def,axiom,
% 163.96/163.61 ! [V_l_2] :
% 163.96/163.61 ( c_List_Onat__list(V_l_2)
% 163.96/163.61 <=> c_Nat__Transfer_Onat__set(hAPP(c_List_Oset(tc_Int_Oint),V_l_2)) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_list__size__pointwise,axiom,
% 163.96/163.61 ! [V_g_2,V_f_2,V_xs_2,T_b] :
% 163.96/163.61 ( ! [B_x] :
% 163.96/163.61 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 163.96/163.61 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(V_f_2,B_x)),hAPP(V_g_2,B_x))) )
% 163.96/163.61 => 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))) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_listsum__update__nat,axiom,
% 163.96/163.61 ! [V_n,V_ns,V_k] :
% 163.96/163.61 ( 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)))
% 163.96/163.61 => 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)) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_butlast__take,axiom,
% 163.96/163.61 ! [V_xs,T_a,V_n] :
% 163.96/163.61 ( 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)))
% 163.96/163.61 => 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) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_list__update__beyond,axiom,
% 163.96/163.61 ! [V_x,V_i,V_xs,T_a] :
% 163.96/163.61 ( 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))
% 163.96/163.61 => hAPP(hAPP(c_List_Olist__update(T_a,V_xs),V_i),V_x) = V_xs ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_list__update__id,axiom,
% 163.96/163.61 ! [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 ).
% 163.96/163.61
% 163.96/163.61 fof(fact_nth__list__update__neq,axiom,
% 163.96/163.61 ! [V_x,V_xs,T_a,V_j,V_i] :
% 163.96/163.61 ( V_i != V_j
% 163.96/163.61 => 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) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_butlast__list__update,axiom,
% 163.96/163.61 ! [V_x,V_xs,T_a,V_k] :
% 163.96/163.61 ( ( 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))
% 163.96/163.61 => 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) )
% 163.96/163.61 & ( 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))
% 163.96/163.61 => 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) ) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_length__list__update,axiom,
% 163.96/163.61 ! [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) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_zip__update,axiom,
% 163.96/163.61 ! [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)) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_update__zip,axiom,
% 163.96/163.61 ! [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))) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_list__update__swap,axiom,
% 163.96/163.61 ! [V_x_H,V_x,V_xs,T_a,V_i_H,V_i] :
% 163.96/163.61 ( V_i != V_i_H
% 163.96/163.61 => 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) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_list__update__overwrite,axiom,
% 163.96/163.61 ! [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) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_list__update__code_I2_J,axiom,
% 163.96/163.61 ! [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) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_list__update__code_I3_J,axiom,
% 163.96/163.61 ! [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)) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_list__update_Osimps_I2_J,axiom,
% 163.96/163.61 ! [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) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_in__set__butlastD,axiom,
% 163.96/163.61 ! [V_xs_2,V_x_2,T_b] :
% 163.96/163.61 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),c_List_Obutlast(T_b,V_xs_2))))
% 163.96/163.61 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_set__update__subsetI,axiom,
% 163.96/163.61 ! [V_i_2,V_x_2,V_A_2,V_xs_2,T_b] :
% 163.96/163.61 ( 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))
% 163.96/163.61 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 163.96/163.61 => 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)) ) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_set__update__subset__insert,axiom,
% 163.96/163.61 ! [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)))) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_nth__list__update__eq,axiom,
% 163.96/163.61 ! [V_x,V_xs,T_a,V_i] :
% 163.96/163.61 ( 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)))
% 163.96/163.61 => 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 ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_list__update__same__conv,axiom,
% 163.96/163.61 ! [V_x_2,V_xs_2,T_b,V_i_2] :
% 163.96/163.61 ( 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)))
% 163.96/163.61 => ( hAPP(hAPP(c_List_Olist__update(T_b,V_xs_2),V_i_2),V_x_2) = V_xs_2
% 163.96/163.61 <=> hAPP(hAPP(c_List_Onth(T_b),V_xs_2),V_i_2) = V_x_2 ) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_nth__list__update,axiom,
% 163.96/163.61 ! [V_x,V_j,V_xs,T_a,V_i] :
% 163.96/163.61 ( 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)))
% 163.96/163.61 => ( ( V_i = V_j
% 163.96/163.61 => 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 )
% 163.96/163.61 & ( V_i != V_j
% 163.96/163.61 => 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) ) ) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_take__butlast,axiom,
% 163.96/163.61 ! [V_xs,T_a,V_n] :
% 163.96/163.61 ( 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)))
% 163.96/163.61 => 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) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_length__butlast,axiom,
% 163.96/163.61 ! [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)) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_set__update__memI,axiom,
% 163.96/163.61 ! [V_x_2,V_xs_2,T_b,V_n_2] :
% 163.96/163.61 ( 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)))
% 163.96/163.61 => 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)))) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_butlast__conv__take,axiom,
% 163.96/163.61 ! [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) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_listrel1__iff__update,axiom,
% 163.96/163.61 ! [V_r_2,V_ys_2,V_xs_2,T_b] :
% 163.96/163.61 ( 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)))
% 163.96/163.61 <=> ? [B_y,B_n] :
% 163.96/163.61 ( 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))
% 163.96/163.61 & 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)))
% 163.96/163.61 & V_ys_2 = hAPP(hAPP(c_List_Olist__update(T_b,V_xs_2),B_n),B_y) ) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_distinct__list__update,axiom,
% 163.96/163.61 ! [V_i_2,V_a_2,V_xs_2,T_b] :
% 163.96/163.61 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 163.96/163.61 => ( ~ 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))))))
% 163.96/163.61 => hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(hAPP(c_List_Olist__update(T_b,V_xs_2),V_i_2),V_a_2))) ) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_distinct__upto,axiom,
% 163.96/163.61 ! [V_j,V_i] : hBOOL(hAPP(c_List_Odistinct(tc_Int_Oint),c_List_Oupto(V_i,V_j))) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_distinct__take,axiom,
% 163.96/163.61 ! [V_i,V_xs,T_a] :
% 163.96/163.61 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 163.96/163.61 => hBOOL(hAPP(c_List_Odistinct(T_a),hAPP(hAPP(c_List_Otake(T_a),V_i),V_xs))) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_distinct__sublistI,axiom,
% 163.96/163.61 ! [V_I_2,V_xs_2,T_b] :
% 163.96/163.61 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 163.96/163.61 => hBOOL(hAPP(c_List_Odistinct(T_b),c_List_Osublist(T_b,V_xs_2,V_I_2))) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_distinct__zipI2,axiom,
% 163.96/163.61 ! [V_xs,T_b,V_ys,T_a] :
% 163.96/163.61 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_ys))
% 163.96/163.61 => hBOOL(hAPP(c_List_Odistinct(tc_prod(T_b,T_a)),hAPP(hAPP(c_List_Ozip(T_b,T_a),V_xs),V_ys))) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_distinct__zipI1,axiom,
% 163.96/163.61 ! [V_ys,T_b,V_xs,T_a] :
% 163.96/163.61 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 163.96/163.61 => hBOOL(hAPP(c_List_Odistinct(tc_prod(T_a,T_b)),hAPP(hAPP(c_List_Ozip(T_a,T_b),V_xs),V_ys))) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_distinct_Osimps_I2_J,axiom,
% 163.96/163.61 ! [V_xs_2,V_x_2,T_b] :
% 163.96/163.61 ( hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)))
% 163.96/163.61 <=> ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 163.96/163.61 & hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) ) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_distinct__card,axiom,
% 163.96/163.61 ! [V_xs_2,T_b] :
% 163.96/163.61 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 163.96/163.61 => 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) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_card__distinct,axiom,
% 163.96/163.61 ! [V_xs_2,T_b] :
% 163.96/163.61 ( 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)
% 163.96/163.61 => hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_nth__eq__iff__index__eq,axiom,
% 163.96/163.61 ! [V_j_2,V_i_2,V_xs_2,T_b] :
% 163.96/163.61 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 163.96/163.61 => ( 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)))
% 163.96/163.61 => ( 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)))
% 163.96/163.61 => ( 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)
% 163.96/163.61 <=> V_i_2 = V_j_2 ) ) ) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_distinct__conv__nth,axiom,
% 163.96/163.61 ! [V_xs_2,T_b] :
% 163.96/163.61 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 163.96/163.61 <=> ! [B_i] :
% 163.96/163.61 ( 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)))
% 163.96/163.61 => ! [B_j] :
% 163.96/163.61 ( 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)))
% 163.96/163.61 => ( B_i != B_j
% 163.96/163.61 => hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_i) != hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_j) ) ) ) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_distinct__listsum__conv__Setsum,axiom,
% 163.96/163.61 ! [V_xs_2,T_b] :
% 163.96/163.61 ( class_Groups_Ocomm__monoid__add(T_b)
% 163.96/163.61 => ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 163.96/163.61 => 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)) ) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_Nitpick_Ocard_H__def,axiom,
% 163.96/163.61 ! [V_A_2,T_b] :
% 163.96/163.61 ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.96/163.61 => 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)))) )
% 163.96/163.61 & ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.96/163.61 => c_Nitpick_Ocard_H(T_b,V_A_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_nth__take__lemma,axiom,
% 163.96/163.61 ! [V_ys,V_xs,T_a,V_k] :
% 163.96/163.61 ( 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)))
% 163.96/163.61 => ( 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)))
% 163.96/163.61 => ( ! [B_i] :
% 163.96/163.61 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),V_k))
% 163.96/163.61 => hAPP(hAPP(c_List_Onth(T_a),V_xs),B_i) = hAPP(hAPP(c_List_Onth(T_a),V_ys),B_i) )
% 163.96/163.61 => hAPP(hAPP(c_List_Otake(T_a),V_k),V_xs) = hAPP(hAPP(c_List_Otake(T_a),V_k),V_ys) ) ) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_set__remove1__eq,axiom,
% 163.96/163.61 ! [V_x_2,V_xs_2,T_b] :
% 163.96/163.61 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 163.96/163.61 => 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)))) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_take__Cons__number__of,axiom,
% 163.96/163.61 ! [V_xs,V_x,T_a,V_v] :
% 163.96/163.61 ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 163.96/163.61 => 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) )
% 163.96/163.61 & ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 163.96/163.61 => 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)) ) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_lists_ONil,axiom,
% 163.96/163.61 ! [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))) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_listrel__Nil1,axiom,
% 163.96/163.61 ! [V_r_2,V_xs_2,T_b] :
% 163.96/163.61 ( 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)))
% 163.96/163.61 => V_xs_2 = c_List_Olist_ONil(T_b) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_listrel__Nil2,axiom,
% 163.96/163.61 ! [V_r_2,V_xs_2,T_b] :
% 163.96/163.61 ( 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)))
% 163.96/163.61 => V_xs_2 = c_List_Olist_ONil(T_b) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_distinct__butlast,axiom,
% 163.96/163.61 ! [T_a,V_xs] :
% 163.96/163.61 ( V_xs != c_List_Olist_ONil(T_a)
% 163.96/163.61 => ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 163.96/163.61 => hBOOL(hAPP(c_List_Odistinct(T_a),c_List_Obutlast(T_a,V_xs))) ) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_distinct_Osimps_I1_J,axiom,
% 163.96/163.61 ! [T_a] : hBOOL(hAPP(c_List_Odistinct(T_a),c_List_Olist_ONil(T_a))) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_distinct__remove1,axiom,
% 163.96/163.61 ! [V_x,V_xs,T_a] :
% 163.96/163.61 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 163.96/163.61 => hBOOL(hAPP(c_List_Odistinct(T_a),c_List_Oremove1(T_a,V_x,V_xs))) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_list_Osize_I1_J,axiom,
% 163.96/163.61 ! [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) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_butlast_Osimps_I1_J,axiom,
% 163.96/163.61 ! [T_a] : c_List_Obutlast(T_a,c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_butlast_Osimps_I2_J,axiom,
% 163.96/163.61 ! [V_x,T_a,V_xs] :
% 163.96/163.61 ( ( V_xs = c_List_Olist_ONil(T_a)
% 163.96/163.61 => c_List_Obutlast(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = c_List_Olist_ONil(T_a) )
% 163.96/163.61 & ( V_xs != c_List_Olist_ONil(T_a)
% 163.96/163.61 => 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)) ) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_remove1_Osimps_I2_J,axiom,
% 163.96/163.61 ! [V_xs,T_a,V_y,V_x] :
% 163.96/163.61 ( ( V_x = V_y
% 163.96/163.61 => c_List_Oremove1(T_a,V_x,hAPP(hAPP(c_List_Olist_OCons(T_a),V_y),V_xs)) = V_xs )
% 163.96/163.61 & ( V_x != V_y
% 163.96/163.61 => 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)) ) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_list_Osimps_I3_J,axiom,
% 163.96/163.61 ! [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) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_list_Osimps_I2_J,axiom,
% 163.96/163.61 ! [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) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_upto__empty,axiom,
% 163.96/163.61 ! [V_i,V_j] :
% 163.96/163.61 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_j),V_i))
% 163.96/163.61 => c_List_Oupto(V_i,V_j) = c_List_Olist_ONil(tc_Int_Oint) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_take__0,axiom,
% 163.96/163.61 ! [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) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_take__eq__Nil,axiom,
% 163.96/163.61 ! [V_xs_2,V_n_2,T_b] :
% 163.96/163.61 ( hAPP(hAPP(c_List_Otake(T_b),V_n_2),V_xs_2) = c_List_Olist_ONil(T_b)
% 163.96/163.61 <=> ( V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 163.96/163.61 | V_xs_2 = c_List_Olist_ONil(T_b) ) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_take__Nil,axiom,
% 163.96/163.61 ! [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) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_sublist__nil,axiom,
% 163.96/163.61 ! [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) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_remove1_Osimps_I1_J,axiom,
% 163.96/163.61 ! [V_x,T_a] : c_List_Oremove1(T_a,V_x,c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_remove1__commute,axiom,
% 163.96/163.61 ! [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)) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_listrelp_ONil,axiom,
% 163.96/163.61 ! [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)) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_listrelp_Oequations_I1_J,axiom,
% 163.96/163.61 ! [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)) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_zip_Osimps_I1_J,axiom,
% 163.96/163.61 ! [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)) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_zip__Nil,axiom,
% 163.96/163.61 ! [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)) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_listsum__simps_I1_J,axiom,
% 163.96/163.61 ! [T_a] :
% 163.96/163.61 ( class_Groups_Omonoid__add(T_a)
% 163.96/163.61 => hAPP(c_List_Omonoid__add__class_Olistsum(T_a),c_List_Olist_ONil(T_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_length__0__conv,axiom,
% 163.96/163.61 ! [V_xs_2,T_b] :
% 163.96/163.61 ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 163.96/163.61 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_list_Osize_I3_J,axiom,
% 163.96/163.61 ! [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) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_set__empty,axiom,
% 163.96/163.61 ! [V_xs_2,T_b] :
% 163.96/163.61 ( hAPP(c_List_Oset(T_b),V_xs_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.96/163.61 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_set__empty2,axiom,
% 163.96/163.61 ! [V_xs_2,T_b] :
% 163.96/163.61 ( c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) = hAPP(c_List_Oset(T_b),V_xs_2)
% 163.96/163.61 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_List_Oset_Osimps_I1_J,axiom,
% 163.96/163.61 ! [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)) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_list__update__nonempty,axiom,
% 163.96/163.61 ! [V_x_2,V_k_2,V_xs_2,T_b] :
% 163.96/163.61 ( hAPP(hAPP(c_List_Olist__update(T_b,V_xs_2),V_k_2),V_x_2) = c_List_Olist_ONil(T_b)
% 163.96/163.61 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_list__update_Osimps_I1_J,axiom,
% 163.96/163.61 ! [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) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_list__update__code_I1_J,axiom,
% 163.96/163.61 ! [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) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_remove1__idem,axiom,
% 163.96/163.61 ! [V_xs_2,V_x_2,T_b] :
% 163.96/163.61 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 163.96/163.61 => c_List_Oremove1(T_b,V_x_2,V_xs_2) = V_xs_2 ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_notin__set__remove1,axiom,
% 163.96/163.61 ! [V_y_2,V_xs_2,V_x_2,T_b] :
% 163.96/163.61 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 163.96/163.61 => ~ 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)))) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_in__set__remove1,axiom,
% 163.96/163.61 ! [V_xs_2,T_b,V_b_2,V_a_2] :
% 163.96/163.61 ( V_a_2 != V_b_2
% 163.96/163.61 => ( 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))))
% 163.96/163.61 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_List_Oset(T_b),V_xs_2))) ) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_sublist__empty,axiom,
% 163.96/163.61 ! [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) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_set__remove1__subset,axiom,
% 163.96/163.61 ! [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))) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_length__greater__0__conv,axiom,
% 163.96/163.61 ! [V_xs_2,T_b] :
% 163.96/163.61 ( 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)))
% 163.96/163.61 <=> V_xs_2 != c_List_Olist_ONil(T_b) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_take__1__Cons,axiom,
% 163.96/163.61 ! [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)) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_not__Nil__listrel1,axiom,
% 163.96/163.61 ! [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))) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_not__listrel1__Nil,axiom,
% 163.96/163.61 ! [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))) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_listrel_ONil,axiom,
% 163.96/163.61 ! [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))) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_lexord__Nil__right,axiom,
% 163.96/163.61 ! [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))) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_Nil__notin__lex,axiom,
% 163.96/163.61 ! [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))) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_Nil2__notin__lex,axiom,
% 163.96/163.61 ! [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))) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_take__Cons,axiom,
% 163.96/163.61 ! [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) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_upto_Osimps,axiom,
% 163.96/163.61 ! [V_j,V_i] :
% 163.96/163.61 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i),V_j))
% 163.96/163.61 => 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)) )
% 163.96/163.61 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i),V_j))
% 163.96/163.61 => c_List_Oupto(V_i,V_j) = c_List_Olist_ONil(tc_Int_Oint) ) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_sublist__singleton,axiom,
% 163.96/163.61 ! [V_x_2,T_b,V_A_2] :
% 163.96/163.61 ( ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_A_2))
% 163.96/163.61 => 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)) )
% 163.96/163.61 & ( ~ hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_A_2))
% 163.96/163.61 => 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) ) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_lists__empty,axiom,
% 163.96/163.61 ! [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))) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_take__Cons_H,axiom,
% 163.96/163.61 ! [V_xs,V_x,T_a,V_n] :
% 163.96/163.61 ( ( V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 163.96/163.61 => 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) )
% 163.96/163.61 & ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 163.96/163.61 => 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)) ) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_upto__rec__number__of,axiom,
% 163.96/163.61 ! [V_n,V_m] :
% 163.96/163.61 ( ( 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)))
% 163.96/163.61 => 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))) )
% 163.96/163.61 & ( ~ 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)))
% 163.96/163.61 => 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) ) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_listrel__Nil,axiom,
% 163.96/163.61 ! [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))) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_set__Cons__sing__Nil,axiom,
% 163.96/163.61 ! [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) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_length__remove1,axiom,
% 163.96/163.61 ! [V_xs_2,V_x_2,T_b] :
% 163.96/163.61 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 163.96/163.61 => 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)) )
% 163.96/163.61 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 163.96/163.61 => 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) ) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_upto_Opsimps,axiom,
% 163.96/163.61 ! [V_j_2,V_i_2] :
% 163.96/163.61 ( 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)))
% 163.96/163.61 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i_2),V_j_2))
% 163.96/163.61 => 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)) )
% 163.96/163.61 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i_2),V_j_2))
% 163.96/163.61 => c_List_Oupto(V_i_2,V_j_2) = c_List_Olist_ONil(tc_Int_Oint) ) ) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_select,axiom,
% 163.96/163.61 ! [V_s_2,T_b,V_xs_2] :
% 163.96/163.61 ( V_xs_2 != c_List_Olist_ONil(T_b)
% 163.96/163.61 => 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))) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_listset_Osimps_I1_J,axiom,
% 163.96/163.61 ! [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))) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_zip__Cons1,axiom,
% 163.96/163.61 ! [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) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_list_Osimps_I5_J,axiom,
% 163.96/163.61 ! [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) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_list_Osimps_I4_J,axiom,
% 163.96/163.61 ! [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 ).
% 163.96/163.61
% 163.96/163.61 fof(fact_listset_Osimps_I2_J,axiom,
% 163.96/163.61 ! [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)) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_zip__Cons,axiom,
% 163.96/163.61 ! [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) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_sorted__list__of__set__remove,axiom,
% 163.96/163.61 ! [V_x_2,V_A_2,T_b] :
% 163.96/163.61 ( class_Orderings_Olinorder(T_b)
% 163.96/163.61 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.96/163.61 => 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)) ) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_upto_Opinduct,axiom,
% 163.96/163.61 ! [V_P_2,V_a1_2,V_a0_2] :
% 163.96/163.61 ( 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)))
% 163.96/163.61 => ( ! [B_i,B_j] :
% 163.96/163.61 ( 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)))
% 163.96/163.61 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_i),B_j))
% 163.96/163.61 => 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)) )
% 163.96/163.61 => hBOOL(hAPP(hAPP(V_P_2,B_i),B_j)) ) )
% 163.96/163.61 => hBOOL(hAPP(hAPP(V_P_2,V_a0_2),V_a1_2)) ) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_sorted__list__of__set__empty,axiom,
% 163.96/163.61 ! [T_b] :
% 163.96/163.61 ( class_Orderings_Olinorder(T_b)
% 163.96/163.61 => 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) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_anamorph_Osimps,axiom,
% 163.96/163.61 ! [V_x_2,V_f_2,T_b,T_c,V_k_2] :
% 163.96/163.61 ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 163.96/163.61 => 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) )
% 163.96/163.61 & ( V_k_2 != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 163.96/163.61 => 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)) ) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_sublist__Cons,axiom,
% 163.96/163.61 ! [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)))) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_append1__eq__conv,axiom,
% 163.96/163.61 ! [V_y_2,V_ys_2,V_x_2,V_xs_2,T_b] :
% 163.96/163.61 ( 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)))
% 163.96/163.61 <=> ( V_xs_2 = V_ys_2
% 163.96/163.61 & V_x_2 = V_y_2 ) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_Cons__eq__append__conv,axiom,
% 163.96/163.61 ! [V_zs_2,V_ys_2,V_xs_2,V_x_2,T_b] :
% 163.96/163.61 ( 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)
% 163.96/163.61 <=> ( ( V_ys_2 = c_List_Olist_ONil(T_b)
% 163.96/163.61 & hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2) = V_zs_2 )
% 163.96/163.61 | ? [B_ys_H] :
% 163.96/163.61 ( hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),B_ys_H) = V_ys_2
% 163.96/163.61 & V_xs_2 = hAPP(hAPP(c_List_Oappend(T_b),B_ys_H),V_zs_2) ) ) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_append__eq__Cons__conv,axiom,
% 163.96/163.61 ! [V_xs_2,V_x_2,V_zs_2,V_ys_2,T_b] :
% 163.96/163.61 ( 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)
% 163.96/163.61 <=> ( ( V_ys_2 = c_List_Olist_ONil(T_b)
% 163.96/163.61 & V_zs_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2) )
% 163.96/163.61 | ? [B_ys_H] :
% 163.96/163.61 ( V_ys_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),B_ys_H)
% 163.96/163.61 & hAPP(hAPP(c_List_Oappend(T_b),B_ys_H),V_zs_2) = V_xs_2 ) ) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_Cons__eq__appendI,axiom,
% 163.96/163.61 ! [V_zs,V_xs,V_ys,V_xs1,V_x,T_a] :
% 163.96/163.61 ( hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs1) = V_ys
% 163.96/163.61 => ( V_xs = hAPP(hAPP(c_List_Oappend(T_a),V_xs1),V_zs)
% 163.96/163.61 => hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs) = hAPP(hAPP(c_List_Oappend(T_a),V_ys),V_zs) ) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_append__Cons,axiom,
% 163.96/163.61 ! [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)) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_append__in__lists__conv,axiom,
% 163.96/163.61 ! [V_A_2,V_ys_2,V_xs_2,T_b] :
% 163.96/163.61 ( 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)))
% 163.96/163.61 <=> ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_xs_2),c_List_Olists(T_b,V_A_2)))
% 163.96/163.61 & hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_ys_2),c_List_Olists(T_b,V_A_2))) ) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_append__assoc,axiom,
% 163.96/163.61 ! [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)) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_append__eq__append__conv2,axiom,
% 163.96/163.61 ! [V_tsa_2,V_zs_2,V_ys_2,V_xs_2,T_b] :
% 163.96/163.61 ( 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)
% 163.96/163.61 <=> ? [B_us] :
% 163.96/163.61 ( ( V_xs_2 = hAPP(hAPP(c_List_Oappend(T_b),V_zs_2),B_us)
% 163.96/163.61 & hAPP(hAPP(c_List_Oappend(T_b),B_us),V_ys_2) = V_tsa_2 )
% 163.96/163.61 | ( hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),B_us) = V_zs_2
% 163.96/163.61 & V_ys_2 = hAPP(hAPP(c_List_Oappend(T_b),B_us),V_tsa_2) ) ) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_same__append__eq,axiom,
% 163.96/163.61 ! [V_zs_2,V_ys_2,V_xs_2,T_b] :
% 163.96/163.61 ( 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)
% 163.96/163.61 <=> V_ys_2 = V_zs_2 ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_append__same__eq,axiom,
% 163.96/163.61 ! [V_zs_2,V_xs_2,V_ys_2,T_b] :
% 163.96/163.61 ( 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)
% 163.96/163.61 <=> V_ys_2 = V_zs_2 ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_append__eq__appendI,axiom,
% 163.96/163.61 ! [V_us,V_ys,V_zs,V_xs1,V_xs,T_a] :
% 163.96/163.61 ( hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_xs1) = V_zs
% 163.96/163.61 => ( V_ys = hAPP(hAPP(c_List_Oappend(T_a),V_xs1),V_us)
% 163.96/163.61 => hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys) = hAPP(hAPP(c_List_Oappend(T_a),V_zs),V_us) ) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_listsum__append,axiom,
% 163.96/163.61 ! [V_ys,V_xs,T_a] :
% 163.96/163.61 ( class_Groups_Omonoid__add(T_a)
% 163.96/163.61 => 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)) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_length__append,axiom,
% 163.96/163.61 ! [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)) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_zip__append,axiom,
% 163.96/163.61 ! [V_vs,V_ys,V_us,T_b,V_xs,T_a] :
% 163.96/163.61 ( 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)
% 163.96/163.61 => ( 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)
% 163.96/163.61 => 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)) ) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_set__append,axiom,
% 163.96/163.61 ! [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)) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_eq__Nil__appendI,axiom,
% 163.96/163.61 ! [T_a,V_ys,V_xs] :
% 163.96/163.61 ( V_xs = V_ys
% 163.96/163.61 => V_xs = hAPP(hAPP(c_List_Oappend(T_a),c_List_Olist_ONil(T_a)),V_ys) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_append__self__conv2,axiom,
% 163.96/163.61 ! [V_ys_2,V_xs_2,T_b] :
% 163.96/163.61 ( hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2) = V_ys_2
% 163.96/163.61 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_append__self__conv,axiom,
% 163.96/163.61 ! [V_ys_2,V_xs_2,T_b] :
% 163.96/163.61 ( hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2) = V_xs_2
% 163.96/163.61 <=> V_ys_2 = c_List_Olist_ONil(T_b) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_append__is__Nil__conv,axiom,
% 163.96/163.61 ! [V_ys_2,V_xs_2,T_b] :
% 163.96/163.61 ( hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2) = c_List_Olist_ONil(T_b)
% 163.96/163.61 <=> ( V_xs_2 = c_List_Olist_ONil(T_b)
% 163.96/163.61 & V_ys_2 = c_List_Olist_ONil(T_b) ) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_self__append__conv2,axiom,
% 163.96/163.61 ! [V_xs_2,T_b,V_ys_2] :
% 163.96/163.61 ( V_ys_2 = hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2)
% 163.96/163.61 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_self__append__conv,axiom,
% 163.96/163.61 ! [V_ys_2,T_b,V_xs_2] :
% 163.96/163.61 ( V_xs_2 = hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2)
% 163.96/163.61 <=> V_ys_2 = c_List_Olist_ONil(T_b) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_append__Nil2,axiom,
% 163.96/163.61 ! [V_xs,T_a] : hAPP(hAPP(c_List_Oappend(T_a),V_xs),c_List_Olist_ONil(T_a)) = V_xs ).
% 163.96/163.61
% 163.96/163.61 fof(fact_Nil__is__append__conv,axiom,
% 163.96/163.61 ! [V_ys_2,V_xs_2,T_b] :
% 163.96/163.61 ( c_List_Olist_ONil(T_b) = hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2)
% 163.96/163.61 <=> ( V_xs_2 = c_List_Olist_ONil(T_b)
% 163.96/163.61 & V_ys_2 = c_List_Olist_ONil(T_b) ) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_append__Nil,axiom,
% 163.96/163.61 ! [V_ys,T_a] : hAPP(hAPP(c_List_Oappend(T_a),c_List_Olist_ONil(T_a)),V_ys) = V_ys ).
% 163.96/163.61
% 163.96/163.61 fof(fact_butlast__append,axiom,
% 163.96/163.61 ! [V_xs,T_a,V_ys] :
% 163.96/163.61 ( ( V_ys = c_List_Olist_ONil(T_a)
% 163.96/163.61 => c_List_Obutlast(T_a,hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) = c_List_Obutlast(T_a,V_xs) )
% 163.96/163.61 & ( V_ys != c_List_Olist_ONil(T_a)
% 163.96/163.61 => 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)) ) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_nth__append__length,axiom,
% 163.96/163.61 ! [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 ).
% 163.96/163.61
% 163.96/163.61 fof(fact_nth__append__length__plus,axiom,
% 163.96/163.61 ! [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) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_take__append,axiom,
% 163.96/163.61 ! [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)) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_list__update__append1,axiom,
% 163.96/163.61 ! [V_x,V_ys,V_xs,T_a,V_i] :
% 163.96/163.61 ( 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)))
% 163.96/163.61 => 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) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_list__update__length,axiom,
% 163.96/163.61 ! [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)) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_remove1__append,axiom,
% 163.96/163.61 ! [V_ys_2,V_xs_2,V_x_2,T_b] :
% 163.96/163.61 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 163.96/163.61 => 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) )
% 163.96/163.61 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 163.96/163.61 => 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)) ) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_in__set__butlast__appendI,axiom,
% 163.96/163.61 ! [V_ys_2,V_xs_2,V_x_2,T_b] :
% 163.96/163.61 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),c_List_Obutlast(T_b,V_xs_2))))
% 163.96/163.61 | hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),c_List_Obutlast(T_b,V_ys_2)))) )
% 163.96/163.61 => 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))))) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_butlast__snoc,axiom,
% 163.96/163.61 ! [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 ).
% 163.96/163.61
% 163.96/163.61 fof(fact_append__listrel1I,axiom,
% 163.96/163.61 ! [V_vs_2,V_us_2,V_r_2,V_ys_2,V_xs_2,T_b] :
% 163.96/163.61 ( ( ( 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)))
% 163.96/163.61 & V_us_2 = V_vs_2 )
% 163.96/163.61 | ( V_xs_2 = V_ys_2
% 163.96/163.61 & 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))) ) )
% 163.96/163.61 => 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))) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_lexord__append__leftI,axiom,
% 163.96/163.61 ! [V_x_2,V_r_2,V_v_2,V_u_2,T_b] :
% 163.96/163.61 ( 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)))
% 163.96/163.61 => 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))) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_distinct__append,axiom,
% 163.96/163.61 ! [V_ys_2,V_xs_2,T_b] :
% 163.96/163.61 ( hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2)))
% 163.96/163.61 <=> ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 163.96/163.61 & hBOOL(hAPP(c_List_Odistinct(T_b),V_ys_2))
% 163.96/163.61 & 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)) ) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_nth__append,axiom,
% 163.96/163.61 ! [V_ys,V_xs,T_a,V_n] :
% 163.96/163.61 ( ( 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)))
% 163.96/163.61 => 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) )
% 163.96/163.61 & ( ~ 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)))
% 163.96/163.61 => 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))) ) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_list__update__append,axiom,
% 163.96/163.61 ! [V_x,V_ys,V_xs,T_a,V_n] :
% 163.96/163.61 ( ( 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)))
% 163.96/163.61 => 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) )
% 163.96/163.61 & ( ~ 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)))
% 163.96/163.61 => 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)) ) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_sublist__append,axiom,
% 163.96/163.61 ! [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)))) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_listrel1I,axiom,
% 163.96/163.61 ! [V_ys_2,V_vs_2,V_us_2,V_xs_2,V_r_2,V_y_2,V_x_2,T_b] :
% 163.96/163.61 ( 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))
% 163.96/163.61 => ( 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))
% 163.96/163.61 => ( 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))
% 163.96/163.61 => 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))) ) ) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_lexord__append__left__rightI,axiom,
% 163.96/163.61 ! [V_y_2,V_x_2,V_u_2,V_r_2,V_b_2,V_a_2,T_b] :
% 163.96/163.61 ( 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))
% 163.96/163.61 => 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))) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_take__Suc__conv__app__nth,axiom,
% 163.96/163.61 ! [V_xs,T_a,V_i] :
% 163.96/163.61 ( 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)))
% 163.96/163.61 => 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))) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_snoc__listrel1__snoc__iff,axiom,
% 163.96/163.61 ! [V_r_2,V_y_2,V_ys_2,V_x_2,V_xs_2,T_b] :
% 163.96/163.61 ( 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)))
% 163.96/163.61 <=> ( ( 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)))
% 163.96/163.61 & V_x_2 = V_y_2 )
% 163.96/163.61 | ( V_xs_2 = V_ys_2
% 163.96/163.61 & 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)) ) ) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_listrel1E,axiom,
% 163.96/163.61 ! [V_r_2,V_ys_2,V_xs_2,T_b] :
% 163.96/163.61 ( 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)))
% 163.96/163.61 => ~ ! [B_x,B_y] :
% 163.96/163.61 ( 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))
% 163.96/163.61 => ! [B_us,B_vs] :
% 163.96/163.61 ( V_xs_2 = hAPP(hAPP(c_List_Oappend(T_b),B_us),hAPP(hAPP(c_List_Olist_OCons(T_b),B_x),B_vs))
% 163.96/163.61 => V_ys_2 != hAPP(hAPP(c_List_Oappend(T_b),B_us),hAPP(hAPP(c_List_Olist_OCons(T_b),B_y),B_vs)) ) ) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_lexord__append__leftD,axiom,
% 163.96/163.61 ! [V_r_2,V_v_2,V_u_2,V_x_2,T_b] :
% 163.96/163.61 ( 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)))
% 163.96/163.61 => ( ! [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))
% 163.96/163.61 => 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))) ) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_rotate1__def,axiom,
% 163.96/163.61 ! [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) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_upd__conv__take__nth__drop,axiom,
% 163.96/163.61 ! [V_a,V_xs,T_a,V_i] :
% 163.96/163.61 ( 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)))
% 163.96/163.61 => 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))) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_append__take__drop__id,axiom,
% 163.96/163.61 ! [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 ).
% 163.96/163.61
% 163.96/163.61 fof(fact_drop__1__Cons,axiom,
% 163.96/163.61 ! [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 ).
% 163.96/163.61
% 163.96/163.61 fof(fact_drop__Suc__Cons,axiom,
% 163.96/163.61 ! [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) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_nth__via__drop,axiom,
% 163.96/163.61 ! [V_ys,V_y,V_xs,V_n,T_a] :
% 163.96/163.61 ( hAPP(hAPP(c_List_Odrop(T_a),V_n),V_xs) = hAPP(hAPP(c_List_Olist_OCons(T_a),V_y),V_ys)
% 163.96/163.61 => hAPP(hAPP(c_List_Onth(T_a),V_xs),V_n) = V_y ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_distinct1__rotate,axiom,
% 163.96/163.61 ! [V_xs_2,T_b] :
% 163.96/163.61 ( hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(c_List_Orotate1(T_b),V_xs_2)))
% 163.96/163.61 <=> hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_distinct__drop,axiom,
% 163.96/163.61 ! [V_i,V_xs,T_a] :
% 163.96/163.61 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 163.96/163.61 => hBOOL(hAPP(c_List_Odistinct(T_a),hAPP(hAPP(c_List_Odrop(T_a),V_i),V_xs))) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_drop__butlast,axiom,
% 163.96/163.61 ! [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)) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_butlast__drop,axiom,
% 163.96/163.61 ! [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)) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_drop__take,axiom,
% 163.96/163.61 ! [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)) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_take__drop,axiom,
% 163.96/163.61 ! [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)) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_drop__0,axiom,
% 163.96/163.61 ! [V_xs,T_a] : hAPP(hAPP(c_List_Odrop(T_a),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_xs) = V_xs ).
% 163.96/163.61
% 163.96/163.61 fof(fact_drop__drop,axiom,
% 163.96/163.61 ! [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) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_drop__zip,axiom,
% 163.96/163.61 ! [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)) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_length__rotate1,axiom,
% 163.96/163.61 ! [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) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_length__drop,axiom,
% 163.96/163.61 ! [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) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_set__rotate1,axiom,
% 163.96/163.61 ! [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) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_in__set__dropD,axiom,
% 163.96/163.61 ! [V_xs_2,V_n_2,V_x_2,T_b] :
% 163.96/163.61 ( 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))))
% 163.96/163.61 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_set__drop__subset,axiom,
% 163.96/163.61 ! [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))) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_rotate1__is__Nil__conv,axiom,
% 163.96/163.61 ! [V_xs_2,T_b] :
% 163.96/163.61 ( hAPP(c_List_Orotate1(T_b),V_xs_2) = c_List_Olist_ONil(T_b)
% 163.96/163.61 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_drop__Nil,axiom,
% 163.96/163.61 ! [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) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_set__drop__subset__set__drop,axiom,
% 163.96/163.61 ! [V_xs_2,T_b,V_m_2,V_n_2] :
% 163.96/163.61 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n_2),V_m_2))
% 163.96/163.61 => 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)))) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_drop__all,axiom,
% 163.96/163.61 ! [V_n,V_xs,T_a] :
% 163.96/163.61 ( 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))
% 163.96/163.61 => hAPP(hAPP(c_List_Odrop(T_a),V_n),V_xs) = c_List_Olist_ONil(T_a) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_drop__eq__Nil,axiom,
% 163.96/163.61 ! [V_xs_2,V_n_2,T_b] :
% 163.96/163.61 ( hAPP(hAPP(c_List_Odrop(T_b),V_n_2),V_xs_2) = c_List_Olist_ONil(T_b)
% 163.96/163.61 <=> 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)) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_drop__append,axiom,
% 163.96/163.61 ! [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)) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_append__eq__conv__conj,axiom,
% 163.96/163.61 ! [V_zs_2,V_ys_2,V_xs_2,T_b] :
% 163.96/163.61 ( hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2) = V_zs_2
% 163.96/163.61 <=> ( 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)
% 163.96/163.61 & 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) ) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_drop__Cons,axiom,
% 163.96/163.61 ! [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) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_drop__Cons_H,axiom,
% 163.96/163.61 ! [V_xs,V_x,T_a,V_n] :
% 163.96/163.61 ( ( V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 163.96/163.61 => 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) )
% 163.96/163.61 & ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 163.96/163.61 => 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) ) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_nth__drop,axiom,
% 163.96/163.61 ! [V_xs,T_a,V_i,V_n] :
% 163.96/163.61 ( 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)))
% 163.96/163.61 => 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)) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_append__eq__append__conv__if,axiom,
% 163.96/163.61 ! [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] :
% 163.96/163.61 ( 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)
% 163.96/163.61 <=> ( ( 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)))
% 163.96/163.61 => ( 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)
% 163.96/163.61 & 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) ) )
% 163.96/163.61 & ( ~ 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)))
% 163.96/163.61 => ( 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
% 163.96/163.61 & 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 ) ) ) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_nth__drop_H,axiom,
% 163.96/163.61 ! [V_xs,T_a,V_i] :
% 163.96/163.61 ( 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)))
% 163.96/163.61 => 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) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_rotate__simps,axiom,
% 163.96/163.61 ! [V_xs,V_x,T_b,T_a] :
% 163.96/163.61 ( hAPP(c_List_Orotate1(T_a),c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a)
% 163.96/163.61 & 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))) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_drop__Cons__number__of,axiom,
% 163.96/163.61 ! [V_xs,V_x,T_a,V_v] :
% 163.96/163.61 ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 163.96/163.61 => 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) )
% 163.96/163.61 & ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 163.96/163.61 => 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) ) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_take__add,axiom,
% 163.96/163.61 ! [V_xs,T_a,V_j,V_i] :
% 163.96/163.61 ( 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)))
% 163.96/163.61 => 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))) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_rotate1__length01,axiom,
% 163.96/163.61 ! [V_xs,T_a] :
% 163.96/163.61 ( 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)))
% 163.96/163.61 => hAPP(c_List_Orotate1(T_a),V_xs) = V_xs ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_zip__append1,axiom,
% 163.96/163.61 ! [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))) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_zip__append2,axiom,
% 163.96/163.61 ! [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)) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_id__take__nth__drop,axiom,
% 163.96/163.61 ! [V_xs,T_a,V_i] :
% 163.96/163.61 ( 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)))
% 163.96/163.61 => 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))) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_take__hd__drop,axiom,
% 163.96/163.61 ! [V_xs,T_a,V_n] :
% 163.96/163.61 ( 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)))
% 163.96/163.61 => 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) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_hd__drop__conv__nth,axiom,
% 163.96/163.61 ! [V_n,T_a,V_xs] :
% 163.96/163.61 ( V_xs != c_List_Olist_ONil(T_a)
% 163.96/163.61 => ( 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)))
% 163.96/163.61 => 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) ) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_hd_Osimps,axiom,
% 163.96/163.61 ! [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 ).
% 163.96/163.61
% 163.96/163.61 fof(fact_hd__append,axiom,
% 163.96/163.61 ! [V_ys,T_a,V_xs] :
% 163.96/163.61 ( ( V_xs = c_List_Olist_ONil(T_a)
% 163.96/163.61 => 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) )
% 163.96/163.61 & ( V_xs != c_List_Olist_ONil(T_a)
% 163.96/163.61 => 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) ) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_hd__append2,axiom,
% 163.96/163.61 ! [V_ys,T_a,V_xs] :
% 163.96/163.61 ( V_xs != c_List_Olist_ONil(T_a)
% 163.96/163.61 => 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) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_hd__in__set,axiom,
% 163.96/163.61 ! [T_b,V_xs_2] :
% 163.96/163.61 ( V_xs_2 != c_List_Olist_ONil(T_b)
% 163.96/163.61 => 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))) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_hd__conv__nth,axiom,
% 163.96/163.61 ! [T_a,V_xs] :
% 163.96/163.61 ( V_xs != c_List_Olist_ONil(T_a)
% 163.96/163.61 => 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)) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_rotate1__hd__tl,axiom,
% 163.96/163.61 ! [T_a,V_xs] :
% 163.96/163.61 ( V_xs != c_List_Olist_ONil(T_a)
% 163.96/163.61 => 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))) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_hd__rotate__conv__nth,axiom,
% 163.96/163.61 ! [V_n,T_a,V_xs] :
% 163.96/163.61 ( V_xs != c_List_Olist_ONil(T_a)
% 163.96/163.61 => 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))) ) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_tl__drop,axiom,
% 163.96/163.61 ! [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)) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_drop__tl,axiom,
% 163.96/163.61 ! [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)) ).
% 163.96/163.61
% 163.96/163.61 fof(fact_tl_Osimps_I2_J,axiom,
% 163.96/163.61 ! [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 ).
% 163.96/163.61
% 163.96/163.61 fof(fact_distinct__rotate,axiom,
% 163.96/163.61 ! [V_xs_2,V_n_2,T_b] :
% 163.96/163.62 ( hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(c_List_Orotate(T_b,V_n_2),V_xs_2)))
% 163.96/163.62 <=> hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_distinct__tl,axiom,
% 163.96/163.62 ! [V_xs,T_a] :
% 163.96/163.62 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 163.96/163.62 => hBOOL(hAPP(c_List_Odistinct(T_a),hAPP(c_List_Otl(T_a),V_xs))) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_rotate__add,axiom,
% 163.96/163.62 ! [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)) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_rotate0,axiom,
% 163.96/163.62 ! [T_b] : c_List_Orotate(T_b,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Fun_Oid(tc_List_Olist(T_b)) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_rotate__rotate,axiom,
% 163.96/163.62 ! [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) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_length__rotate,axiom,
% 163.96/163.62 ! [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) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_set__rotate,axiom,
% 163.96/163.62 ! [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) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_rotate__is__Nil__conv,axiom,
% 163.96/163.62 ! [V_xs_2,V_n_2,T_b] :
% 163.96/163.62 ( hAPP(c_List_Orotate(T_b,V_n_2),V_xs_2) = c_List_Olist_ONil(T_b)
% 163.96/163.62 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_tl_Osimps_I1_J,axiom,
% 163.96/163.62 ! [T_a] : hAPP(c_List_Otl(T_a),c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_rotate1__rotate__swap,axiom,
% 163.96/163.62 ! [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)) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_rotate__def,axiom,
% 163.96/163.62 ! [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)) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_tl__append2,axiom,
% 163.96/163.62 ! [V_ys,T_a,V_xs] :
% 163.96/163.62 ( V_xs != c_List_Olist_ONil(T_a)
% 163.96/163.62 => 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) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_take__tl,axiom,
% 163.96/163.62 ! [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)) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_rotate__conv__mod,axiom,
% 163.96/163.62 ! [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) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_drop__Suc,axiom,
% 163.96/163.62 ! [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)) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_rotate__Suc,axiom,
% 163.96/163.62 ! [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)) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_tl__append,axiom,
% 163.96/163.62 ! [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) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_rotate__id,axiom,
% 163.96/163.62 ! [V_xs,T_a,V_n] :
% 163.96/163.62 ( 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)
% 163.96/163.62 => hAPP(c_List_Orotate(T_a,V_n),V_xs) = V_xs ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_rotate__length01,axiom,
% 163.96/163.62 ! [V_n,V_xs,T_a] :
% 163.96/163.62 ( 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)))
% 163.96/163.62 => hAPP(c_List_Orotate(T_a,V_n),V_xs) = V_xs ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_length__tl,axiom,
% 163.96/163.62 ! [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)) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_tl__take,axiom,
% 163.96/163.62 ! [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)) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_take__Suc,axiom,
% 163.96/163.62 ! [V_n,T_a,V_xs] :
% 163.96/163.62 ( V_xs != c_List_Olist_ONil(T_a)
% 163.96/163.62 => 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))) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_rotate__drop__take,axiom,
% 163.96/163.62 ! [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)) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_fold1__set,axiom,
% 163.96/163.62 ! [V_xs_2,T_b] :
% 163.96/163.62 ( class_Lattices_Oab__semigroup__idem__mult(T_b)
% 163.96/163.62 => ( V_xs_2 != c_List_Olist_ONil(T_b)
% 163.96/163.62 => 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)) ) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_lexord__append__rightI,axiom,
% 163.96/163.62 ! [V_r_2,V_x_2,T_b,V_y_2] :
% 163.96/163.62 ( ? [B_b,B_z] : V_y_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),B_b),B_z)
% 163.96/163.62 => 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))) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_foldl__Nil,axiom,
% 163.96/163.62 ! [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 ).
% 163.96/163.62
% 163.96/163.62 fof(fact_start__le__sum,axiom,
% 163.96/163.62 ! [V_ns_2,V_n_2,V_m_2] :
% 163.96/163.62 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2))
% 163.96/163.62 => 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))) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_foldl__absorb0,axiom,
% 163.96/163.62 ! [V_zs_2,V_x_2,T_b] :
% 163.96/163.62 ( class_Groups_Omonoid__add(T_b)
% 163.96/163.62 => 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) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_foldl__assoc,axiom,
% 163.96/163.62 ! [V_zs_2,V_y_2,V_x_2,T_b] :
% 163.96/163.62 ( class_Groups_Osemigroup__add(T_b)
% 163.96/163.62 => 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)) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_foldl__Cons,axiom,
% 163.96/163.62 ! [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) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_foldl__append,axiom,
% 163.96/163.62 ! [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) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_listsum__foldl,axiom,
% 163.96/163.62 ! [T_b] :
% 163.96/163.62 ( class_Groups_Omonoid__add(T_b)
% 163.96/163.62 => 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)) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_sum__eq__0__conv,axiom,
% 163.96/163.62 ! [V_ns_2,V_m_2] :
% 163.96/163.62 ( 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)
% 163.96/163.62 <=> ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 163.96/163.62 & ! [B_x] :
% 163.96/163.62 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_x),hAPP(c_List_Oset(tc_Nat_Onat),V_ns_2)))
% 163.96/163.62 => B_x = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_fun__left__comm__idem_Ofold__set,axiom,
% 163.96/163.62 ! [V_xs_2,V_y_2,V_f_2,T_c,T_b] :
% 163.96/163.62 ( c_Finite__Set_Ofun__left__comm__idem(T_b,T_c,V_f_2)
% 163.96/163.62 => 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) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_Sup__set__fold,axiom,
% 163.96/163.62 ! [V_xs_2,T_b] :
% 163.96/163.62 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 163.96/163.62 => 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) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_Inf__set__fold,axiom,
% 163.96/163.62 ! [V_xs_2,T_b] :
% 163.96/163.62 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 163.96/163.62 => 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) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_Sup__fin__set__fold,axiom,
% 163.96/163.62 ! [V_xs_2,V_x_2,T_b] :
% 163.96/163.62 ( class_Lattices_Olattice(T_b)
% 163.96/163.62 => 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) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_Inf__fin__set__fold,axiom,
% 163.96/163.62 ! [V_xs_2,V_x_2,T_b] :
% 163.96/163.62 ( class_Lattices_Olattice(T_b)
% 163.96/163.62 => 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) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_Min__fin__set__fold,axiom,
% 163.96/163.62 ! [V_xs_2,V_x_2,T_b] :
% 163.96/163.62 ( class_Orderings_Olinorder(T_b)
% 163.96/163.62 => 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) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_Max__fin__set__fold,axiom,
% 163.96/163.62 ! [V_xs_2,V_x_2,T_b] :
% 163.96/163.62 ( class_Orderings_Olinorder(T_b)
% 163.96/163.62 => 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) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_min__max_OInf__fin__set__fold,axiom,
% 163.96/163.62 ! [V_xs_2,V_x_2,T_b] :
% 163.96/163.62 ( class_Orderings_Olinorder(T_b)
% 163.96/163.62 => 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) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_min__max_OSup__fin__set__fold,axiom,
% 163.96/163.62 ! [V_xs_2,V_x_2,T_b] :
% 163.96/163.62 ( class_Orderings_Olinorder(T_b)
% 163.96/163.62 => 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) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_SUPR__set__fold,axiom,
% 163.96/163.62 ! [V_f_2,V_xs_2,T_c,T_b] :
% 163.96/163.62 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 163.96/163.62 => 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) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_INFI__set__fold,axiom,
% 163.96/163.62 ! [V_f_2,V_xs_2,T_c,T_b] :
% 163.96/163.62 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 163.96/163.62 => 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) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_elem__le__sum,axiom,
% 163.96/163.62 ! [V_ns_2,V_n_2] :
% 163.96/163.62 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),V_n_2),hAPP(c_List_Oset(tc_Nat_Onat),V_ns_2)))
% 163.96/163.62 => 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))) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_sorted__list__of__set__insert,axiom,
% 163.96/163.62 ! [V_x_2,V_A_2,T_b] :
% 163.96/163.62 ( class_Orderings_Olinorder(T_b)
% 163.96/163.62 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.96/163.62 => 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)))))) ) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_lexord__Nil__left,axiom,
% 163.96/163.62 ! [V_r_2,V_y_2,T_b] :
% 163.96/163.62 ( 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)))
% 163.96/163.62 <=> ? [B_a,B_x] : V_y_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),B_a),B_x) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_insort__key_Osimps_I1_J,axiom,
% 163.96/163.62 ! [V_x_2,V_f_2,T_b,T_c] :
% 163.96/163.62 ( class_Orderings_Olinorder(T_c)
% 163.96/163.62 => 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)) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_insort__key_Osimps_I2_J,axiom,
% 163.96/163.62 ! [V_ys_2,T_c,V_y_2,V_x_2,V_f_2,T_b] :
% 163.96/163.62 ( class_Orderings_Olinorder(T_b)
% 163.96/163.62 => ( ( 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)))
% 163.96/163.62 => 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)) )
% 163.96/163.62 & ( ~ 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)))
% 163.96/163.62 => 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)) ) ) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_set__insort,axiom,
% 163.96/163.62 ! [V_xs_2,V_x_2,V_f_2,T_b,T_c] :
% 163.96/163.62 ( class_Orderings_Olinorder(T_c)
% 163.96/163.62 => 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)) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_length__insort,axiom,
% 163.96/163.62 ! [V_xs_2,V_x_2,V_f_2,T_b,T_c] :
% 163.96/163.62 ( class_Orderings_Olinorder(T_c)
% 163.96/163.62 => 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)) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_fun__left__comm__insort,axiom,
% 163.96/163.62 ! [T_b] :
% 163.96/163.62 ( class_Orderings_Olinorder(T_b)
% 163.96/163.62 => 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))) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_insort__key__left__comm,axiom,
% 163.96/163.62 ! [V_xs_2,T_c,V_y_2,V_x_2,V_f_2,T_b] :
% 163.96/163.62 ( class_Orderings_Olinorder(T_b)
% 163.96/163.62 => ( hAPP(V_f_2,V_x_2) != hAPP(V_f_2,V_y_2)
% 163.96/163.62 => 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)) ) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_insort__left__comm,axiom,
% 163.96/163.62 ! [V_xs_2,V_y_2,V_x_2,T_b] :
% 163.96/163.62 ( class_Orderings_Olinorder(T_b)
% 163.96/163.62 => 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)) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_remove1__insort,axiom,
% 163.96/163.62 ! [V_xs_2,V_x_2,T_b] :
% 163.96/163.62 ( class_Orderings_Olinorder(T_b)
% 163.96/163.62 => 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 ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_insort__not__Nil,axiom,
% 163.96/163.62 ! [V_xs_2,V_a_2,V_f_2,T_b,T_c] :
% 163.96/163.62 ( class_Orderings_Olinorder(T_c)
% 163.96/163.62 => 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) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_distinct__insort,axiom,
% 163.96/163.62 ! [V_xs_2,V_x_2,V_f_2,T_b,T_c] :
% 163.96/163.62 ( class_Orderings_Olinorder(T_c)
% 163.96/163.62 => ( 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)))
% 163.96/163.62 <=> ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 163.96/163.62 & hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) ) ) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_insort__insert__insort__key,axiom,
% 163.96/163.62 ! [V_xs_2,T_c,V_x_2,V_f_2,T_b] :
% 163.96/163.62 ( class_Orderings_Olinorder(T_b)
% 163.96/163.62 => ( ~ 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))))
% 163.96/163.62 => 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) ) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_insort__insert__insort,axiom,
% 163.96/163.62 ! [V_xs_2,V_x_2,T_b] :
% 163.96/163.62 ( class_Orderings_Olinorder(T_b)
% 163.96/163.62 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 163.96/163.62 => 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) ) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_distinct__insort__insert,axiom,
% 163.96/163.62 ! [V_x_2,V_f_2,V_xs_2,T_b,T_c] :
% 163.96/163.62 ( class_Orderings_Olinorder(T_c)
% 163.96/163.62 => ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 163.96/163.62 => 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))) ) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_insort__insert__triv,axiom,
% 163.96/163.62 ! [V_xs_2,V_x_2,T_b] :
% 163.96/163.62 ( class_Orderings_Olinorder(T_b)
% 163.96/163.62 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 163.96/163.62 => c_List_Olinorder__class_Oinsort__insert__key(T_b,T_b,c_COMBI(T_b),V_x_2,V_xs_2) = V_xs_2 ) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_set__insort__insert,axiom,
% 163.96/163.62 ! [V_xs_2,V_x_2,T_b] :
% 163.96/163.62 ( class_Orderings_Olinorder(T_b)
% 163.96/163.62 => 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)) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_insort__insert__key__triv,axiom,
% 163.96/163.62 ! [V_xs_2,T_c,V_x_2,V_f_2,T_b] :
% 163.96/163.62 ( class_Orderings_Olinorder(T_b)
% 163.96/163.62 => ( 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))))
% 163.96/163.62 => c_List_Olinorder__class_Oinsort__insert__key(T_c,T_b,V_f_2,V_x_2,V_xs_2) = V_xs_2 ) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_last__list__update,axiom,
% 163.96/163.62 ! [V_x,V_k,T_a,V_xs] :
% 163.96/163.62 ( V_xs != c_List_Olist_ONil(T_a)
% 163.96/163.62 => ( ( 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))
% 163.96/163.62 => c_List_Olast(T_a,hAPP(hAPP(c_List_Olist__update(T_a,V_xs),V_k),V_x)) = V_x )
% 163.96/163.62 & ( 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))
% 163.96/163.62 => 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) ) ) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_last__conv__nth,axiom,
% 163.96/163.62 ! [T_a,V_xs] :
% 163.96/163.62 ( V_xs != c_List_Olist_ONil(T_a)
% 163.96/163.62 => 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))) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_last__ConsL,axiom,
% 163.96/163.62 ! [V_x,T_a,V_xs] :
% 163.96/163.62 ( V_xs = c_List_Olist_ONil(T_a)
% 163.96/163.62 => c_List_Olast(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = V_x ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_last__ConsR,axiom,
% 163.96/163.62 ! [V_x,T_a,V_xs] :
% 163.96/163.62 ( V_xs != c_List_Olist_ONil(T_a)
% 163.96/163.62 => c_List_Olast(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = c_List_Olast(T_a,V_xs) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_last_Osimps,axiom,
% 163.96/163.62 ! [V_x,T_a,V_xs] :
% 163.96/163.62 ( ( V_xs = c_List_Olist_ONil(T_a)
% 163.96/163.62 => c_List_Olast(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = V_x )
% 163.96/163.62 & ( V_xs != c_List_Olist_ONil(T_a)
% 163.96/163.62 => c_List_Olast(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = c_List_Olast(T_a,V_xs) ) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_last__appendL,axiom,
% 163.96/163.62 ! [V_xs,T_a,V_ys] :
% 163.96/163.62 ( V_ys = c_List_Olist_ONil(T_a)
% 163.96/163.62 => c_List_Olast(T_a,hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) = c_List_Olast(T_a,V_xs) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_last__appendR,axiom,
% 163.96/163.62 ! [V_xs,T_a,V_ys] :
% 163.96/163.62 ( V_ys != c_List_Olist_ONil(T_a)
% 163.96/163.62 => c_List_Olast(T_a,hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) = c_List_Olast(T_a,V_ys) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_last__append,axiom,
% 163.96/163.62 ! [V_xs,T_a,V_ys] :
% 163.96/163.62 ( ( V_ys = c_List_Olist_ONil(T_a)
% 163.96/163.62 => c_List_Olast(T_a,hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) = c_List_Olast(T_a,V_xs) )
% 163.96/163.62 & ( V_ys != c_List_Olist_ONil(T_a)
% 163.96/163.62 => c_List_Olast(T_a,hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) = c_List_Olast(T_a,V_ys) ) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_last__in__set,axiom,
% 163.96/163.62 ! [T_b,V_as_2] :
% 163.96/163.62 ( V_as_2 != c_List_Olist_ONil(T_b)
% 163.96/163.62 => hBOOL(hAPP(hAPP(c_member(T_b),c_List_Olast(T_b,V_as_2)),hAPP(c_List_Oset(T_b),V_as_2))) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_last__snoc,axiom,
% 163.96/163.62 ! [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 ).
% 163.96/163.62
% 163.96/163.62 fof(fact_last__drop,axiom,
% 163.96/163.62 ! [V_xs,T_a,V_n] :
% 163.96/163.62 ( 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)))
% 163.96/163.62 => c_List_Olast(T_a,hAPP(hAPP(c_List_Odrop(T_a),V_n),V_xs)) = c_List_Olast(T_a,V_xs) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_snoc__eq__iff__butlast,axiom,
% 163.96/163.62 ! [V_ys_2,V_x_2,V_xs_2,T_b] :
% 163.96/163.62 ( 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
% 163.96/163.62 <=> ( V_ys_2 != c_List_Olist_ONil(T_b)
% 163.96/163.62 & c_List_Obutlast(T_b,V_ys_2) = V_xs_2
% 163.96/163.62 & c_List_Olast(T_b,V_ys_2) = V_x_2 ) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_append__butlast__last__id,axiom,
% 163.96/163.62 ! [T_a,V_xs] :
% 163.96/163.62 ( V_xs != c_List_Olist_ONil(T_a)
% 163.96/163.62 => 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 ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_lists_Osimps,axiom,
% 163.96/163.62 ! [V_A_2,V_a_2,T_b] :
% 163.96/163.62 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_a_2),c_List_Olists(T_b,V_A_2)))
% 163.96/163.62 <=> ( V_a_2 = c_List_Olist_ONil(T_b)
% 163.96/163.62 | ? [B_a,B_l] :
% 163.96/163.62 ( V_a_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),B_a),B_l)
% 163.96/163.62 & hBOOL(hAPP(hAPP(c_member(T_b),B_a),V_A_2))
% 163.96/163.62 & hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),B_l),c_List_Olists(T_b,V_A_2))) ) ) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_select__weigth__select,axiom,
% 163.96/163.62 ! [T_b,V_xs_2] :
% 163.96/163.62 ( V_xs_2 != c_List_Olist_ONil(T_b)
% 163.96/163.62 => 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) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_inj__mapI,axiom,
% 163.96/163.62 ! [V_f_2,T_c,T_b] :
% 163.96/163.62 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 163.96/163.62 => 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))) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_last__map,axiom,
% 163.96/163.62 ! [V_f_2,T_c,T_b,V_xs_2] :
% 163.96/163.62 ( V_xs_2 != c_List_Olist_ONil(T_b)
% 163.96/163.62 => 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)) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_foldl__map,axiom,
% 163.96/163.62 ! [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) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_List_Omap_Oid,axiom,
% 163.96/163.62 ! [T_b] : hAPP(c_List_Omap(T_b,T_b),c_Fun_Oid(T_b)) = c_Fun_Oid(tc_List_Olist(T_b)) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_map__tl,axiom,
% 163.96/163.62 ! [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)) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_rotate__map,axiom,
% 163.96/163.62 ! [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)) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_zip__map2,axiom,
% 163.96/163.62 ! [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)) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_map__zip__map2,axiom,
% 163.96/163.62 ! [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)) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_map__zip__map,axiom,
% 163.96/163.62 ! [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)) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_zip__map1,axiom,
% 163.96/163.62 ! [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)) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_zip__map__map,axiom,
% 163.96/163.62 ! [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)) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_zip__same__conv__map,axiom,
% 163.96/163.62 ! [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) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_Nil__is__map__conv,axiom,
% 163.96/163.62 ! [V_xs_2,V_f_2,T_c,T_b] :
% 163.96/163.62 ( c_List_Olist_ONil(T_b) = hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)
% 163.96/163.62 <=> V_xs_2 = c_List_Olist_ONil(T_c) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_map_Osimps_I1_J,axiom,
% 163.96/163.62 ! [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) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_map__is__Nil__conv,axiom,
% 163.96/163.62 ! [V_xs_2,V_f_2,T_b,T_c] :
% 163.96/163.62 ( hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2) = c_List_Olist_ONil(T_b)
% 163.96/163.62 <=> V_xs_2 = c_List_Olist_ONil(T_c) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_map__update,axiom,
% 163.96/163.62 ! [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)) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_map__eq__conv,axiom,
% 163.96/163.62 ! [V_g_2,V_xs_2,V_f_2,T_b,T_c] :
% 163.96/163.62 ( 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)
% 163.96/163.62 <=> ! [B_x] :
% 163.96/163.62 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),hAPP(c_List_Oset(T_c),V_xs_2)))
% 163.96/163.62 => hAPP(V_f_2,B_x) = hAPP(V_g_2,B_x) ) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_length__map,axiom,
% 163.96/163.62 ! [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) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_map__eq__imp__length__eq,axiom,
% 163.96/163.62 ! [V_ys_2,V_g_2,T_d,V_xs_2,V_f_2,T_b,T_c] :
% 163.96/163.62 ( 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)
% 163.96/163.62 => 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) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_listsum__addf,axiom,
% 163.96/163.62 ! [V_xs_2,V_g_2,V_f_2,T_c,T_b] :
% 163.96/163.62 ( class_Groups_Ocomm__monoid__add(T_b)
% 163.96/163.62 => 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))) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_listsum__mult__const,axiom,
% 163.96/163.62 ! [V_xs_2,V_c_2,V_f_2,T_c,T_b] :
% 163.96/163.62 ( class_Rings_Osemiring__0(T_b)
% 163.96/163.62 => 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) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_listsum__const__mult,axiom,
% 163.96/163.62 ! [V_xs_2,V_f_2,V_c_2,T_c,T_b] :
% 163.96/163.62 ( class_Rings_Osemiring__0(T_b)
% 163.96/163.62 => 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))) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_listsum__0,axiom,
% 163.96/163.62 ! [V_xs_2,T_c,T_b] :
% 163.96/163.62 ( class_Groups_Omonoid__add(T_b)
% 163.96/163.62 => 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) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_listsum__subtractf,axiom,
% 163.96/163.62 ! [V_xs_2,V_g_2,V_f_2,T_c,T_b] :
% 163.96/163.62 ( class_Groups_Oab__group__add(T_b)
% 163.96/163.62 => 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))) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_inj__map__eq__map,axiom,
% 163.96/163.62 ! [V_ys_2,V_xs_2,V_f_2,T_c,T_b] :
% 163.96/163.62 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 163.96/163.62 => ( 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)
% 163.96/163.62 <=> V_xs_2 = V_ys_2 ) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_map__injective,axiom,
% 163.96/163.62 ! [V_ys_2,V_xs_2,V_f_2,T_b,T_c] :
% 163.96/163.62 ( 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)
% 163.96/163.62 => ( c_Fun_Oinj__on(T_c,T_b,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))
% 163.96/163.62 => V_xs_2 = V_ys_2 ) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_map__ident,axiom,
% 163.96/163.62 ! [V_xs_2,T_b] : hAPP(hAPP(c_List_Omap(T_b,T_b),c_COMBI(T_b)),V_xs_2) = V_xs_2 ).
% 163.96/163.62
% 163.96/163.62 fof(fact_take__map,axiom,
% 163.96/163.62 ! [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)) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_map__butlast,axiom,
% 163.96/163.62 ! [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)) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_set__map,axiom,
% 163.96/163.62 ! [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)) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_map_Osimps_I2_J,axiom,
% 163.96/163.62 ! [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)) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_map__append,axiom,
% 163.96/163.62 ! [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)) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_hd__map,axiom,
% 163.96/163.62 ! [V_f_2,T_c,T_b,V_xs_2] :
% 163.96/163.62 ( V_xs_2 != c_List_Olist_ONil(T_b)
% 163.96/163.62 => 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)) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_drop__map,axiom,
% 163.96/163.62 ! [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)) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_map__map,axiom,
% 163.96/163.62 ! [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) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_List_Omap_Ocompositionality,axiom,
% 163.96/163.62 ! [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) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_map__comp__map,axiom,
% 163.96/163.62 ! [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)) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_List_Omap_Ocomp,axiom,
% 163.96/163.62 ! [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)) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_List_Omap_Oidentity,axiom,
% 163.96/163.62 ! [T_b] : hAPP(c_List_Omap(T_b,T_b),c_COMBI(T_b)) = c_Fun_Oid(tc_List_Olist(T_b)) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_list__size__map,axiom,
% 163.96/163.62 ! [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) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_map__inj__on,axiom,
% 163.96/163.62 ! [V_ys_2,V_xs_2,V_f_2,T_b,T_c] :
% 163.96/163.62 ( 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)
% 163.96/163.62 => ( 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)))
% 163.96/163.62 => V_xs_2 = V_ys_2 ) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_inj__on__map__eq__map,axiom,
% 163.96/163.62 ! [V_ys_2,V_xs_2,V_f_2,T_c,T_b] :
% 163.96/163.62 ( 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)))
% 163.96/163.62 => ( 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)
% 163.96/163.62 <=> V_xs_2 = V_ys_2 ) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_nth__map,axiom,
% 163.96/163.62 ! [V_f_2,T_c,V_xs_2,T_b,V_n_2] :
% 163.96/163.62 ( 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)))
% 163.96/163.62 => 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)) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_map__fun__upd,axiom,
% 163.96/163.62 ! [V_v_2,V_f_2,T_c,V_xs_2,V_y_2,T_b] :
% 163.96/163.62 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 163.96/163.62 => 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) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_distinct__map,axiom,
% 163.96/163.62 ! [V_xs_2,V_f_2,T_c,T_b] :
% 163.96/163.62 ( hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)))
% 163.96/163.62 <=> ( hBOOL(hAPP(c_List_Odistinct(T_c),V_xs_2))
% 163.96/163.62 & c_Fun_Oinj__on(T_c,T_b,V_f_2,hAPP(c_List_Oset(T_c),V_xs_2)) ) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_listsum__abs,axiom,
% 163.96/163.62 ! [V_xs_2,T_b] :
% 163.96/163.62 ( class_Groups_Oordered__ab__group__add__abs(T_b)
% 163.96/163.62 => 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)))) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_uminus__listsum__map,axiom,
% 163.96/163.62 ! [V_xs_2,V_f_2,T_c,T_b] :
% 163.96/163.62 ( class_Groups_Oab__group__add(T_b)
% 163.96/163.62 => 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)) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_inj__on__mapI,axiom,
% 163.96/163.62 ! [V_A_2,V_f_2,T_c,T_b] :
% 163.96/163.62 ( 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)))
% 163.96/163.62 => 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) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_inj__mapD,axiom,
% 163.96/163.62 ! [V_f_2,T_c,T_b] :
% 163.96/163.62 ( 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)))
% 163.96/163.62 => c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_inj__map,axiom,
% 163.96/163.62 ! [V_f_2,T_c,T_b] :
% 163.96/163.62 ( 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)))
% 163.96/163.62 <=> c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_listsum__distinct__conv__setsum__set,axiom,
% 163.96/163.62 ! [V_f_2,V_xs_2,T_b,T_c] :
% 163.96/163.62 ( class_Groups_Ocomm__monoid__add(T_c)
% 163.96/163.62 => ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 163.96/163.62 => 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)) ) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_listsum__triv,axiom,
% 163.96/163.62 ! [V_xs_2,V_r_2,T_c,T_b] :
% 163.96/163.62 ( class_Rings_Osemiring__1(T_b)
% 163.96/163.62 => 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) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_listsum__map__remove1,axiom,
% 163.96/163.62 ! [V_f_2,V_xs_2,V_x_2,T_b,T_c] :
% 163.96/163.62 ( class_Groups_Ocomm__monoid__add(T_c)
% 163.96/163.62 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 163.96/163.62 => 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)))) ) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_Nitpick_Osetsum_H__def,axiom,
% 163.96/163.62 ! [V_f_2,V_A_2,T_b,T_c] :
% 163.96/163.62 ( class_Groups_Ocomm__monoid__add(T_c)
% 163.96/163.62 => ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.96/163.62 => 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))))) )
% 163.96/163.62 & ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.96/163.62 => c_Nitpick_Osetsum_H(T_b,T_c,V_f_2,V_A_2) = c_Groups_Ozero__class_Ozero(T_c) ) ) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_pick__same,axiom,
% 163.96/163.62 ! [V_xs_2,T_b,V_l_2] :
% 163.96/163.62 ( 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)))
% 163.96/163.62 => 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) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_zero__code__numeral__def,axiom,
% 163.96/163.62 c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) = hAPP(c_Code__Numeral_Oof__nat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_Code__Numeral_Oof__nat__code,axiom,
% 163.96/163.62 c_Code__Numeral_Oof__nat = c_Nat_Osemiring__1__class_Oof__nat(tc_Code__Numeral_Ocode__numeral) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_Code__Numeral_Oof__nat__inject,axiom,
% 163.96/163.62 ! [V_m_2,V_n_2] :
% 163.96/163.62 ( hAPP(c_Code__Numeral_Oof__nat,V_n_2) = hAPP(c_Code__Numeral_Oof__nat,V_m_2)
% 163.96/163.62 <=> V_n_2 = V_m_2 ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_times__code__numeral__code,axiom,
% 163.96/163.62 ! [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)) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_one__code__numeral__def,axiom,
% 163.96/163.62 c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral) = hAPP(c_Code__Numeral_Oof__nat,c_Groups_Oone__class_Oone(tc_Nat_Onat)) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_less__code__numeral__code,axiom,
% 163.96/163.62 ! [V_m_2,V_n_2] :
% 163.96/163.62 ( 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)))
% 163.96/163.62 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),V_m_2)) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_code__numeral_Oof__nat__inject,axiom,
% 163.96/163.62 ! [V_y_2,V_x_2] :
% 163.96/163.62 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),V_x_2),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))))
% 163.96/163.62 => ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),V_y_2),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))))
% 163.96/163.62 => ( hAPP(c_Code__Numeral_Oof__nat,V_x_2) = hAPP(c_Code__Numeral_Oof__nat,V_y_2)
% 163.96/163.62 <=> V_x_2 = V_y_2 ) ) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_map__fst__zip,axiom,
% 163.96/163.62 ! [V_ys_2,T_c,V_xs_2,T_b] :
% 163.96/163.62 ( 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)
% 163.96/163.62 => 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 ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_map__snd__zip,axiom,
% 163.96/163.62 ! [V_ys_2,T_c,V_xs_2,T_b] :
% 163.96/163.62 ( 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)
% 163.96/163.62 => 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 ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_number__of__code__numeral__def,axiom,
% 163.96/163.62 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) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_zip__map__fst__snd,axiom,
% 163.96/163.62 ! [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 ).
% 163.96/163.62
% 163.96/163.62 fof(fact_plus__code__numeral__code,axiom,
% 163.96/163.62 ! [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)) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_less__eq__code__numeral__code,axiom,
% 163.96/163.62 ! [V_m_2,V_n_2] :
% 163.96/163.62 ( 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)))
% 163.96/163.62 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n_2),V_m_2)) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_pick__member,axiom,
% 163.96/163.62 ! [V_xs_2,T_b,V_i_2] :
% 163.96/163.62 ( 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))))
% 163.96/163.62 => 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)))) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_zip__eq__conv,axiom,
% 163.96/163.62 ! [V_zs_2,V_ys_2,T_c,V_xs_2,T_b] :
% 163.96/163.62 ( 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)
% 163.96/163.62 => ( hAPP(hAPP(c_List_Ozip(T_b,T_c),V_xs_2),V_ys_2) = V_zs_2
% 163.96/163.62 <=> ( 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
% 163.96/163.62 & 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 ) ) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_list__size__conv__listsum,axiom,
% 163.96/163.62 ! [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)) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_code__numeral__not__eq__zero,axiom,
% 163.96/163.62 ! [V_i_2] :
% 163.96/163.62 ( V_i_2 != hAPP(c_Code__Numeral_Oof__nat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 163.96/163.62 <=> 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)) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_setsum__set__upto__conv__listsum__int,axiom,
% 163.96/163.62 ! [V_j_2,V_i_2,V_f_2,T_b] :
% 163.96/163.62 ( class_Groups_Ocomm__monoid__add(T_b)
% 163.96/163.62 => 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))) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_interv__listsum__conv__setsum__set__int,axiom,
% 163.96/163.62 ! [V_l_2,V_k_2,V_f_2,T_b] :
% 163.96/163.62 ( class_Groups_Ocomm__monoid__add(T_b)
% 163.96/163.62 => 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))) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_select__weight__member,axiom,
% 163.96/163.62 ! [V_s_2,V_xs_2,T_b] :
% 163.96/163.62 ( 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))))
% 163.96/163.62 => 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)))) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_select__weight__def,axiom,
% 163.96/163.62 ! [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))) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_select__def,axiom,
% 163.96/163.62 ! [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))) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_subtract__code__numeral__code,axiom,
% 163.96/163.62 ! [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)) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_nat__of__of__nat,axiom,
% 163.96/163.62 ! [V_n] : hAPP(c_Code__Numeral_Onat__of,hAPP(c_Code__Numeral_Oof__nat,V_n)) = V_n ).
% 163.96/163.62
% 163.96/163.62 fof(fact_of__nat__nat__of,axiom,
% 163.96/163.62 ! [V_k] : hAPP(c_Code__Numeral_Oof__nat,hAPP(c_Code__Numeral_Onat__of,V_k)) = V_k ).
% 163.96/163.62
% 163.96/163.62 fof(fact_nat__of__inverse,axiom,
% 163.96/163.62 ! [V_x] : hAPP(c_Code__Numeral_Oof__nat,hAPP(c_Code__Numeral_Onat__of,V_x)) = V_x ).
% 163.96/163.62
% 163.96/163.62 fof(fact_code__numeral_Onat__of__inject,axiom,
% 163.96/163.62 ! [V_y_2,V_x_2] :
% 163.96/163.62 ( hAPP(c_Code__Numeral_Onat__of,V_x_2) = hAPP(c_Code__Numeral_Onat__of,V_y_2)
% 163.96/163.62 <=> V_x_2 = V_y_2 ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_Code__Numeral_Onat__of__inject,axiom,
% 163.96/163.62 ! [V_l_2,V_k_2] :
% 163.96/163.62 ( hAPP(c_Code__Numeral_Onat__of,V_k_2) = hAPP(c_Code__Numeral_Onat__of,V_l_2)
% 163.96/163.62 <=> V_k_2 = V_l_2 ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_times__code__numeral__def,axiom,
% 163.96/163.62 ! [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))) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_type__definition__code__numeral,axiom,
% 163.96/163.62 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))) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_less__code__numeral__def,axiom,
% 163.96/163.62 ! [V_m_2,V_n_2] :
% 163.96/163.62 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),V_n_2),V_m_2))
% 163.96/163.62 <=> 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))) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_nat__of,axiom,
% 163.96/163.62 ! [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)))) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_nat__of__number,axiom,
% 163.96/163.62 ! [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) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_int__of__def,axiom,
% 163.96/163.62 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) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_less__eq__code__numeral__def,axiom,
% 163.96/163.62 ! [V_m_2,V_n_2] :
% 163.96/163.62 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Code__Numeral_Ocode__numeral),V_n_2),V_m_2))
% 163.96/163.62 <=> 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))) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_nat__of__code,axiom,
% 163.96/163.62 ! [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)) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_nat__of__aux__def,axiom,
% 163.96/163.62 ! [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) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_Suc__code__numeral__def,axiom,
% 163.96/163.62 ! [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))) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_minus__code__numeral__def,axiom,
% 163.96/163.62 ! [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))) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_of__nat__inverse,axiom,
% 163.96/163.62 ! [V_y_2] :
% 163.96/163.62 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),V_y_2),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))))
% 163.96/163.62 => hAPP(c_Code__Numeral_Onat__of,hAPP(c_Code__Numeral_Oof__nat,V_y_2)) = V_y_2 ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_plus__code__numeral__def,axiom,
% 163.96/163.62 ! [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))) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_div__code__numeral__def,axiom,
% 163.96/163.62 ! [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))) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_minus__code__numeral__code,axiom,
% 163.96/163.62 ! [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) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_subtract__code__numeral__def,axiom,
% 163.96/163.62 c_Code__Numeral_Osubtract__code__numeral = c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_mod__code__numeral__def,axiom,
% 163.96/163.62 ! [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))) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_code__numeral__decr,axiom,
% 163.96/163.62 ! [V_k] :
% 163.96/163.62 ( V_k != hAPP(c_Code__Numeral_Oof__nat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 163.96/163.62 => 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))) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_listsum__mono,axiom,
% 163.96/163.62 ! [V_g_2,V_f_2,V_xs_2,T_b,T_c] :
% 163.96/163.62 ( ( class_Groups_Omonoid__add(T_c)
% 163.96/163.62 & class_Groups_Oordered__ab__semigroup__add(T_c) )
% 163.96/163.62 => ( ! [B_x] :
% 163.96/163.62 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 163.96/163.62 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(V_f_2,B_x)),hAPP(V_g_2,B_x))) )
% 163.96/163.62 => 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)))) ) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_New__DSequence_Opos__not__seq__def,axiom,
% 163.96/163.62 ! [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))) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_partition__set,axiom,
% 163.96/163.62 ! [V_no_2,V_yes_2,V_xs_2,V_P_2,T_b] :
% 163.96/163.62 ( 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)
% 163.96/163.62 => 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) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_lists__Int__eq,axiom,
% 163.96/163.62 ! [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))) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_listsp_ONil,axiom,
% 163.96/163.62 ! [V_A_2,T_b] : hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),c_List_Olist_ONil(T_b))) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_listsp_Oequations_I1_J,axiom,
% 163.96/163.62 ! [V_A_2,T_b] : hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),c_List_Olist_ONil(T_b))) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_in__listsp__conv__set,axiom,
% 163.96/163.62 ! [V_xs_2,V_A_2,T_b] :
% 163.96/163.62 ( hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),V_xs_2))
% 163.96/163.62 <=> ! [B_x] :
% 163.96/163.62 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 163.96/163.62 => hBOOL(hAPP(V_A_2,B_x)) ) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_listsp__conj__eq,axiom,
% 163.96/163.62 ! [V_x_2,V_B_2,V_A_2,T_b] :
% 163.96/163.62 ( 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))
% 163.96/163.62 <=> ( hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),V_x_2))
% 163.96/163.62 & hBOOL(hAPP(c_List_Olistsp(T_b,V_B_2),V_x_2)) ) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_listsp__infI,axiom,
% 163.96/163.62 ! [V_B_2,V_l_2,V_A_2,T_b] :
% 163.96/163.62 ( hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),V_l_2))
% 163.96/163.62 => ( hBOOL(hAPP(c_List_Olistsp(T_b,V_B_2),V_l_2))
% 163.96/163.62 => 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)) ) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_listsp__inf__eq,axiom,
% 163.96/163.62 ! [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)) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_listsp_Oequations_I2_J,axiom,
% 163.96/163.62 ! [V_a2_2,V_a1_2,V_A_2,T_b] :
% 163.96/163.62 ( hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_a1_2),V_a2_2)))
% 163.96/163.62 <=> ( hBOOL(hAPP(V_A_2,V_a1_2))
% 163.96/163.62 & hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),V_a2_2)) ) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_append__in__listsp__conv,axiom,
% 163.96/163.62 ! [V_ys_2,V_xs_2,V_A_2,T_b] :
% 163.96/163.62 ( hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2)))
% 163.96/163.62 <=> ( hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),V_xs_2))
% 163.96/163.62 & hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),V_ys_2)) ) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_listsp__mono,axiom,
% 163.96/163.62 ! [V_B_2,V_A_2,T_b] :
% 163.96/163.62 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 163.96/163.62 => 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))) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_partition__P,axiom,
% 163.96/163.62 ! [V_no_2,V_yes_2,V_xs_2,V_P_2,T_b] :
% 163.96/163.62 ( 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)
% 163.96/163.62 => ( ! [B_x] :
% 163.96/163.62 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_yes_2)))
% 163.96/163.62 => hBOOL(hAPP(V_P_2,B_x)) )
% 163.96/163.62 & ! [B_x] :
% 163.96/163.62 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_no_2)))
% 163.96/163.62 => ~ hBOOL(hAPP(V_P_2,B_x)) ) ) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_partition_Osimps_I1_J,axiom,
% 163.96/163.62 ! [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)) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_listsp__lists__eq,axiom,
% 163.96/163.62 ! [V_x_2,V_A_2,T_b] :
% 163.96/163.62 ( 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))
% 163.96/163.62 <=> hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_x_2),c_List_Olists(T_b,V_A_2))) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_partition_Osimps_I2_J,axiom,
% 163.96/163.62 ! [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)) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_lists__IntI,axiom,
% 163.96/163.62 ! [V_B_2,V_A_2,V_l_2,T_b] :
% 163.96/163.62 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_l_2),c_List_Olists(T_b,V_A_2)))
% 163.96/163.62 => ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_l_2),c_List_Olists(T_b,V_B_2)))
% 163.96/163.62 => 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)) ) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_product_Osimps_I2_J,axiom,
% 163.96/163.62 ! [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)) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_list__all2__def,axiom,
% 163.96/163.62 ! [V_ys_2,V_xs_2,V_P_2,T_c,T_b] :
% 163.96/163.62 ( c_List_Olist__all2(T_b,T_c,V_P_2,V_xs_2,V_ys_2)
% 163.96/163.62 <=> ( 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)
% 163.96/163.62 & ! [B_x] :
% 163.96/163.62 ( 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))))
% 163.96/163.62 => hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool),V_P_2),B_x)) ) ) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_list__all2__map2,axiom,
% 163.96/163.62 ! [V_bs_2,V_f_2,T_d,V_as_2,V_P_2,T_c,T_b] :
% 163.96/163.62 ( 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))
% 163.96/163.62 <=> 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) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_list__all2__map1,axiom,
% 163.96/163.62 ! [V_bs_2,V_as_2,V_f_2,T_d,V_P_2,T_c,T_b] :
% 163.96/163.62 ( 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)
% 163.96/163.62 <=> 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) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_list__all2__dropI,axiom,
% 163.96/163.62 ! [V_n_2,V_bs_2,V_as_2,V_P_2,T_c,T_b] :
% 163.96/163.62 ( c_List_Olist__all2(T_b,T_c,V_P_2,V_as_2,V_bs_2)
% 163.96/163.62 => 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)) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_list__all2__appendI,axiom,
% 163.96/163.62 ! [V_d_2,V_c_2,V_b_2,V_a_2,V_P_2,T_c,T_b] :
% 163.96/163.62 ( c_List_Olist__all2(T_b,T_c,V_P_2,V_a_2,V_b_2)
% 163.96/163.62 => ( c_List_Olist__all2(T_b,T_c,V_P_2,V_c_2,V_d_2)
% 163.96/163.62 => 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)) ) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_list__all2__append,axiom,
% 163.96/163.62 ! [V_vs_2,V_us_2,V_P_2,V_ys_2,T_c,V_xs_2,T_b] :
% 163.96/163.62 ( 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)
% 163.96/163.62 => ( 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))
% 163.96/163.62 <=> ( c_List_Olist__all2(T_b,T_c,V_P_2,V_xs_2,V_ys_2)
% 163.96/163.62 & c_List_Olist__all2(T_b,T_c,V_P_2,V_us_2,V_vs_2) ) ) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_list__all2__Cons,axiom,
% 163.96/163.62 ! [V_ys_2,V_y_2,V_xs_2,V_x_2,V_P_2,T_c,T_b] :
% 163.96/163.62 ( 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))
% 163.96/163.62 <=> ( hBOOL(hAPP(hAPP(V_P_2,V_x_2),V_y_2))
% 163.96/163.62 & c_List_Olist__all2(T_b,T_c,V_P_2,V_xs_2,V_ys_2) ) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_list__all2__takeI,axiom,
% 163.96/163.62 ! [V_n_2,V_ys_2,V_xs_2,V_P_2,T_c,T_b] :
% 163.96/163.62 ( c_List_Olist__all2(T_b,T_c,V_P_2,V_xs_2,V_ys_2)
% 163.96/163.62 => 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)) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_list__all2__eq,axiom,
% 163.96/163.62 ! [T_b,V_ys_2,V_xs_2] :
% 163.96/163.62 ( V_xs_2 = V_ys_2
% 163.96/163.62 <=> c_List_Olist__all2(T_b,T_b,c_fequal,V_xs_2,V_ys_2) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_list__all2__lengthD,axiom,
% 163.96/163.62 ! [V_ys_2,V_xs_2,V_P_2,T_c,T_b] :
% 163.96/163.62 ( c_List_Olist__all2(T_b,T_c,V_P_2,V_xs_2,V_ys_2)
% 163.96/163.62 => 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) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_list__all2__Nil2,axiom,
% 163.96/163.62 ! [V_xs_2,V_P_2,T_c,T_b] :
% 163.96/163.62 ( c_List_Olist__all2(T_b,T_c,V_P_2,V_xs_2,c_List_Olist_ONil(T_c))
% 163.96/163.62 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_list__all2__Nil,axiom,
% 163.96/163.62 ! [V_ys_2,V_P_2,T_c,T_b] :
% 163.96/163.62 ( c_List_Olist__all2(T_b,T_c,V_P_2,c_List_Olist_ONil(T_b),V_ys_2)
% 163.96/163.62 <=> V_ys_2 = c_List_Olist_ONil(T_c) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_product_Osimps_I1_J,axiom,
% 163.96/163.62 ! [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)) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_list__all2__nthD2,axiom,
% 163.96/163.62 ! [V_p_2,V_ys_2,V_xs_2,V_P_2,T_c,T_b] :
% 163.96/163.62 ( c_List_Olist__all2(T_b,T_c,V_P_2,V_xs_2,V_ys_2)
% 163.96/163.62 => ( 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)))
% 163.96/163.62 => 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))) ) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_list__all2__nthD,axiom,
% 163.96/163.62 ! [V_p_2,V_ys_2,V_xs_2,V_P_2,T_c,T_b] :
% 163.96/163.62 ( c_List_Olist__all2(T_b,T_c,V_P_2,V_xs_2,V_ys_2)
% 163.96/163.62 => ( 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)))
% 163.96/163.62 => 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))) ) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_list__all2__conv__all__nth,axiom,
% 163.96/163.62 ! [V_ys_2,V_xs_2,V_P_2,T_c,T_b] :
% 163.96/163.62 ( c_List_Olist__all2(T_b,T_c,V_P_2,V_xs_2,V_ys_2)
% 163.96/163.62 <=> ( 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)
% 163.96/163.62 & ! [B_i] :
% 163.96/163.62 ( 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)))
% 163.96/163.62 => 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))) ) ) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_list__all2__update__cong2,axiom,
% 163.96/163.62 ! [V_i_2,V_y_2,V_x_2,V_ys_2,V_xs_2,V_P_2,T_c,T_b] :
% 163.96/163.62 ( c_List_Olist__all2(T_b,T_c,V_P_2,V_xs_2,V_ys_2)
% 163.96/163.62 => ( hBOOL(hAPP(hAPP(V_P_2,V_x_2),V_y_2))
% 163.96/163.62 => ( 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)))
% 163.96/163.62 => 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)) ) ) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_list__all2__update__cong,axiom,
% 163.96/163.62 ! [V_y_2,V_x_2,V_ys_2,V_P_2,T_c,V_xs_2,T_b,V_i_2] :
% 163.96/163.62 ( 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)))
% 163.96/163.62 => ( c_List_Olist__all2(T_b,T_c,V_P_2,V_xs_2,V_ys_2)
% 163.96/163.62 => ( hBOOL(hAPP(hAPP(V_P_2,V_x_2),V_y_2))
% 163.96/163.62 => 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)) ) ) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_distinct__product,axiom,
% 163.96/163.62 ! [V_ys,T_b,V_xs,T_a] :
% 163.96/163.62 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 163.96/163.62 => ( hBOOL(hAPP(c_List_Odistinct(T_b),V_ys))
% 163.96/163.62 => hBOOL(hAPP(c_List_Odistinct(tc_prod(T_a,T_b)),c_Enum_Oproduct(T_a,T_b,V_xs,V_ys))) ) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_product__list__set,axiom,
% 163.96/163.62 ! [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))) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_sublists__powset,axiom,
% 163.96/163.62 ! [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)) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_length__sublists,axiom,
% 163.96/163.62 ! [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)) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_sublists_Osimps_I1_J,axiom,
% 163.96/163.62 ! [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))) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_sublists_Osimps_I2_J,axiom,
% 163.96/163.62 ! [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))))) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_distinct__set__sublists,axiom,
% 163.96/163.62 ! [V_xs_2,T_b] :
% 163.96/163.62 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 163.96/163.62 => 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)))) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_set__n__lists,axiom,
% 163.96/163.62 ! [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)))) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_enum__the__def,axiom,
% 163.96/163.62 ! [V_P_2,T_b] : c_Enum_Oenum__the(T_b,V_P_2) = c_HOL_OThe(T_b,V_P_2) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_distinct__n__lists,axiom,
% 163.96/163.62 ! [V_n,V_xs,T_a] :
% 163.96/163.62 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 163.96/163.62 => hBOOL(hAPP(c_List_Odistinct(tc_List_Olist(T_a)),c_Enum_On__lists(T_a,V_n,V_xs))) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_n__lists_Osimps_I1_J,axiom,
% 163.96/163.62 ! [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))) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_n__lists__Nil,axiom,
% 163.96/163.62 ! [T_a,V_n] :
% 163.96/163.62 ( ( V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 163.96/163.62 => 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))) )
% 163.96/163.62 & ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 163.96/163.62 => c_Enum_On__lists(T_a,V_n,c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(tc_List_Olist(T_a)) ) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_length__n__lists,axiom,
% 163.96/163.62 ! [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) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_length__n__lists__elem,axiom,
% 163.96/163.62 ! [V_xs_2,V_n_2,V_ys_2,T_b] :
% 163.96/163.62 ( 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))))
% 163.96/163.62 => hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_2) = V_n_2 ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_list__all2I,axiom,
% 163.96/163.62 ! [V_P_2,V_b_2,V_a_2,T_c,T_b] :
% 163.96/163.62 ( ! [B_x] :
% 163.96/163.62 ( 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))))
% 163.96/163.62 => hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool),V_P_2),B_x)) )
% 163.96/163.62 => ( 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)
% 163.96/163.62 => c_List_Olist__all2(T_b,T_c,V_P_2,V_a_2,V_b_2) ) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_all__nth__imp__all__set,axiom,
% 163.96/163.62 ! [V_x_2,V_P_2,V_xs_2,T_b] :
% 163.96/163.62 ( ! [B_i] :
% 163.96/163.62 ( 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)))
% 163.96/163.62 => hBOOL(hAPP(V_P_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_i))) )
% 163.96/163.62 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 163.96/163.62 => hBOOL(hAPP(V_P_2,V_x_2)) ) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_fun__left__comm_Ofold__set__remdups,axiom,
% 163.96/163.62 ! [V_xs_2,V_y_2,V_f_2,T_c,T_b] :
% 163.96/163.62 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2)
% 163.96/163.62 => 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)) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_map__removeAll__inj__on,axiom,
% 163.96/163.62 ! [V_xs_2,V_x_2,V_f_2,T_c,T_b] :
% 163.96/163.62 ( 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)))
% 163.96/163.62 => 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)) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_distinct__remdups,axiom,
% 163.96/163.62 ! [V_xs,T_a] : hBOOL(hAPP(c_List_Odistinct(T_a),c_List_Oremdups(T_a,V_xs))) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_length__remdups__leq,axiom,
% 163.96/163.62 ! [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))) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_remdups__id__iff__distinct,axiom,
% 163.96/163.62 ! [V_xs_2,T_b] :
% 163.96/163.62 ( c_List_Oremdups(T_b,V_xs_2) = V_xs_2
% 163.96/163.62 <=> hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_distinct__removeAll,axiom,
% 163.96/163.62 ! [V_x,V_xs,T_a] :
% 163.96/163.62 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 163.96/163.62 => hBOOL(hAPP(c_List_Odistinct(T_a),hAPP(c_List_OremoveAll(T_a,V_x),V_xs))) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_distinct__remdups__id,axiom,
% 163.96/163.62 ! [V_xs,T_a] :
% 163.96/163.62 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 163.96/163.62 => c_List_Oremdups(T_a,V_xs) = V_xs ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_set__remdups,axiom,
% 163.96/163.62 ! [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) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_length__remdups__eq,axiom,
% 163.96/163.62 ! [V_xs_2,T_b] :
% 163.96/163.62 ( 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)
% 163.96/163.62 <=> c_List_Oremdups(T_b,V_xs_2) = V_xs_2 ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_remdups__remdups,axiom,
% 163.96/163.62 ! [V_xs,T_a] : c_List_Oremdups(T_a,c_List_Oremdups(T_a,V_xs)) = c_List_Oremdups(T_a,V_xs) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_remdups_Osimps_I1_J,axiom,
% 163.96/163.62 ! [T_a] : c_List_Oremdups(T_a,c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_remdups__eq__nil__right__iff,axiom,
% 163.96/163.62 ! [V_x_2,T_b] :
% 163.96/163.62 ( c_List_Olist_ONil(T_b) = c_List_Oremdups(T_b,V_x_2)
% 163.96/163.62 <=> V_x_2 = c_List_Olist_ONil(T_b) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_removeAll_Osimps_I1_J,axiom,
% 163.96/163.62 ! [V_x,T_a] : hAPP(c_List_OremoveAll(T_a,V_x),c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_remdups__eq__nil__iff,axiom,
% 163.96/163.62 ! [V_x_2,T_b] :
% 163.96/163.62 ( c_List_Oremdups(T_b,V_x_2) = c_List_Olist_ONil(T_b)
% 163.96/163.62 <=> V_x_2 = c_List_Olist_ONil(T_b) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_removeAll_Osimps_I2_J,axiom,
% 163.96/163.62 ! [V_xs,T_a,V_y,V_x] :
% 163.96/163.62 ( ( V_x = V_y
% 163.96/163.62 => 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) )
% 163.96/163.62 & ( V_x != V_y
% 163.96/163.62 => 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)) ) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_removeAll__append,axiom,
% 163.96/163.62 ! [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)) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_remdups__map__remdups,axiom,
% 163.96/163.62 ! [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)) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_remove1__remdups,axiom,
% 163.96/163.62 ! [V_x,V_xs,T_a] :
% 163.96/163.62 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 163.96/163.62 => 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)) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_removeAll__id,axiom,
% 163.96/163.62 ! [V_xs_2,V_x_2,T_b] :
% 163.96/163.62 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 163.96/163.62 => hAPP(c_List_OremoveAll(T_b,V_x_2),V_xs_2) = V_xs_2 ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_distinct__remove1__removeAll,axiom,
% 163.96/163.62 ! [V_x,V_xs,T_a] :
% 163.96/163.62 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 163.96/163.62 => c_List_Oremove1(T_a,V_x,V_xs) = hAPP(c_List_OremoveAll(T_a,V_x),V_xs) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_remdups_Osimps_I2_J,axiom,
% 163.96/163.62 ! [V_xs_2,V_x_2,T_b] :
% 163.96/163.62 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 163.96/163.62 => 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) )
% 163.96/163.62 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 163.96/163.62 => 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)) ) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_length__remdups__card__conv,axiom,
% 163.96/163.62 ! [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)) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_map__removeAll__inj,axiom,
% 163.96/163.62 ! [V_xs_2,V_x_2,V_f_2,T_c,T_b] :
% 163.96/163.62 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 163.96/163.62 => 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)) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_set__removeAll,axiom,
% 163.96/163.62 ! [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)))) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_length__remdups__concat,axiom,
% 163.96/163.62 ! [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))) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_sorted__list__of__set__sort__remdups,axiom,
% 163.96/163.62 ! [V_xs_2,T_b] :
% 163.96/163.62 ( class_Orderings_Olinorder(T_b)
% 163.96/163.62 => 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)) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_sort__key__simps_I1_J,axiom,
% 163.96/163.62 ! [V_f_2,T_b,T_c] :
% 163.96/163.62 ( class_Orderings_Olinorder(T_c)
% 163.96/163.62 => 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) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_concat__conv__foldl,axiom,
% 163.96/163.62 ! [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) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_foldl__conv__concat,axiom,
% 163.96/163.62 ! [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)) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_length__sort,axiom,
% 163.96/163.62 ! [V_xs_2,V_f_2,T_b,T_c] :
% 163.96/163.62 ( class_Orderings_Olinorder(T_c)
% 163.96/163.62 => 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) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_set__sort,axiom,
% 163.96/163.62 ! [V_xs_2,V_f_2,T_b,T_c] :
% 163.96/163.62 ( class_Orderings_Olinorder(T_c)
% 163.96/163.62 => 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) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_distinct__sort,axiom,
% 163.96/163.62 ! [V_xs_2,V_f_2,T_b,T_c] :
% 163.96/163.62 ( class_Orderings_Olinorder(T_c)
% 163.96/163.62 => ( hBOOL(hAPP(c_List_Odistinct(T_b),c_List_Olinorder__class_Osort__key(T_b,T_c,V_f_2,V_xs_2)))
% 163.96/163.62 <=> hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) ) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_concat_Osimps_I1_J,axiom,
% 163.96/163.62 ! [T_a] : c_List_Oconcat(T_a,c_List_Olist_ONil(tc_List_Olist(T_a))) = c_List_Olist_ONil(T_a) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_concat_Osimps_I2_J,axiom,
% 163.96/163.62 ! [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)) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_Nil__eq__concat__conv,axiom,
% 163.96/163.62 ! [V_xss_2,T_b] :
% 163.96/163.62 ( c_List_Olist_ONil(T_b) = c_List_Oconcat(T_b,V_xss_2)
% 163.96/163.62 <=> ! [B_x] :
% 163.96/163.62 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),B_x),hAPP(c_List_Oset(tc_List_Olist(T_b)),V_xss_2)))
% 163.96/163.62 => B_x = c_List_Olist_ONil(T_b) ) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_concat__eq__Nil__conv,axiom,
% 163.96/163.62 ! [V_xss_2,T_b] :
% 163.96/163.62 ( c_List_Oconcat(T_b,V_xss_2) = c_List_Olist_ONil(T_b)
% 163.96/163.62 <=> ! [B_x] :
% 163.96/163.62 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),B_x),hAPP(c_List_Oset(tc_List_Olist(T_b)),V_xss_2)))
% 163.96/163.62 => B_x = c_List_Olist_ONil(T_b) ) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_map__concat,axiom,
% 163.96/163.62 ! [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)) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_length__concat,axiom,
% 163.96/163.62 ! [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)) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_set__concat,axiom,
% 163.96/163.62 ! [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)) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_sort__key__simps_I2_J,axiom,
% 163.96/163.62 ! [V_xs_2,V_x_2,V_f_2,T_b,T_c] :
% 163.96/163.62 ( class_Orderings_Olinorder(T_c)
% 163.96/163.62 => 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)) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_concat__append,axiom,
% 163.96/163.62 ! [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)) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_sort__foldl__insort,axiom,
% 163.96/163.62 ! [V_xs_2,T_b] :
% 163.96/163.62 ( class_Orderings_Olinorder(T_b)
% 163.96/163.62 => 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) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_concat__injective,axiom,
% 163.96/163.62 ! [V_ys_2,V_xs_2,T_b] :
% 163.96/163.62 ( c_List_Oconcat(T_b,V_xs_2) = c_List_Oconcat(T_b,V_ys_2)
% 163.96/163.62 => ( 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)
% 163.96/163.62 => ( ! [B_x] :
% 163.96/163.62 ( 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))))
% 163.96/163.62 => 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)) )
% 163.96/163.62 => V_xs_2 = V_ys_2 ) ) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_concat__eq__concat__iff,axiom,
% 163.96/163.62 ! [V_ys_2,V_xs_2,T_b] :
% 163.96/163.62 ( ! [B_x] :
% 163.96/163.62 ( 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))))
% 163.96/163.62 => 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)) )
% 163.96/163.62 => ( 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)
% 163.96/163.62 => ( c_List_Oconcat(T_b,V_xs_2) = c_List_Oconcat(T_b,V_ys_2)
% 163.96/163.62 <=> V_xs_2 = V_ys_2 ) ) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_concat__map__singleton,axiom,
% 163.96/163.62 ! [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) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_n__lists_Osimps_I2_J,axiom,
% 163.96/163.62 ! [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))) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_transpose_Osimps_I3_J,axiom,
% 163.96/163.62 ! [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))))) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_transpose__aux__filter__head,axiom,
% 163.96/163.62 ! [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)) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_filter__concat,axiom,
% 163.96/163.62 ! [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)) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_filter__sort,axiom,
% 163.96/163.62 ! [V_xs_2,V_f_2,V_P_2,T_b,T_c] :
% 163.96/163.62 ( class_Orderings_Olinorder(T_c)
% 163.96/163.62 => 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)) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_distinct__filter,axiom,
% 163.96/163.62 ! [V_P_2,V_xs_2,T_b] :
% 163.96/163.62 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 163.96/163.62 => hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(c_List_Ofilter(T_b,V_P_2),V_xs_2))) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_filter__is__subset,axiom,
% 163.96/163.62 ! [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))) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_filter__id__conv,axiom,
% 163.96/163.62 ! [V_xs_2,V_P_2,T_b] :
% 163.96/163.62 ( hAPP(c_List_Ofilter(T_b,V_P_2),V_xs_2) = V_xs_2
% 163.96/163.62 <=> ! [B_x] :
% 163.96/163.62 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 163.96/163.62 => hBOOL(hAPP(V_P_2,B_x)) ) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_length__filter__le,axiom,
% 163.96/163.62 ! [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))) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_sum__length__filter__compl,axiom,
% 163.96/163.62 ! [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) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_partition__filter__conv,axiom,
% 163.96/163.62 ! [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)) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_partition__filter2,axiom,
% 163.96/163.62 ! [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) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_partition__filter1,axiom,
% 163.96/163.62 ! [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) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_filter__filter,axiom,
% 163.96/163.62 ! [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) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_remove1__filter__not,axiom,
% 163.96/163.62 ! [V_xs_2,T_b,V_x_2,V_P_2] :
% 163.96/163.62 ( ~ hBOOL(hAPP(V_P_2,V_x_2))
% 163.96/163.62 => 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) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_filter__remove1,axiom,
% 163.96/163.62 ! [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)) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_filter__insort__triv,axiom,
% 163.96/163.62 ! [V_xs_2,V_f_2,T_b,V_x_2,V_P_2,T_c] :
% 163.96/163.62 ( class_Orderings_Olinorder(T_c)
% 163.96/163.62 => ( ~ hBOOL(hAPP(V_P_2,V_x_2))
% 163.96/163.62 => 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) ) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_filter__map,axiom,
% 163.96/163.62 ! [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)) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_transpose_Osimps_I1_J,axiom,
% 163.96/163.62 ! [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)) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_filter_Osimps_I1_J,axiom,
% 163.96/163.62 ! [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) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_filter_Osimps_I2_J,axiom,
% 163.96/163.62 ! [V_xs_2,T_b,V_x_2,V_P_2] :
% 163.96/163.62 ( ( hBOOL(hAPP(V_P_2,V_x_2))
% 163.96/163.62 => 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)) )
% 163.96/163.62 & ( ~ hBOOL(hAPP(V_P_2,V_x_2))
% 163.96/163.62 => 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) ) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_filter__append,axiom,
% 163.96/163.62 ! [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)) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_filter__empty__conv,axiom,
% 163.96/163.62 ! [V_xs_2,V_P_2,T_b] :
% 163.96/163.62 ( hAPP(c_List_Ofilter(T_b,V_P_2),V_xs_2) = c_List_Olist_ONil(T_b)
% 163.96/163.62 <=> ! [B_x] :
% 163.96/163.62 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 163.96/163.62 => ~ hBOOL(hAPP(V_P_2,B_x)) ) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_length__filter__map,axiom,
% 163.96/163.62 ! [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)) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_removeAll__filter__not__eq,axiom,
% 163.96/163.62 ! [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))) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_removeAll__filter__not,axiom,
% 163.96/163.62 ! [V_xs_2,T_b,V_x_2,V_P_2] :
% 163.96/163.62 ( ~ hBOOL(hAPP(V_P_2,V_x_2))
% 163.96/163.62 => 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) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_remdups__filter,axiom,
% 163.96/163.62 ! [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)) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_transpose_Osimps_I2_J,axiom,
% 163.96/163.62 ! [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) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_nth__transpose,axiom,
% 163.96/163.62 ! [V_xs_2,T_b,V_i_2] :
% 163.96/163.62 ( 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))))
% 163.96/163.62 => 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)) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_transpose__map__map,axiom,
% 163.96/163.62 ! [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)) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_set__filter,axiom,
% 163.96/163.62 ! [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)) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_length__filter__less,axiom,
% 163.96/163.62 ! [V_P_2,V_xs_2,V_x_2,T_b] :
% 163.96/163.62 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 163.96/163.62 => ( ~ hBOOL(hAPP(V_P_2,V_x_2))
% 163.96/163.62 => 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))) ) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_set__minus__filter__out,axiom,
% 163.96/163.62 ! [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)) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_filter__in__sublist,axiom,
% 163.96/163.62 ! [V_s_2,V_xs_2,T_b] :
% 163.96/163.62 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 163.96/163.62 => 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) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_transpose__empty,axiom,
% 163.96/163.62 ! [V_xs_2,T_b] :
% 163.96/163.62 ( c_List_Otranspose(T_b,V_xs_2) = c_List_Olist_ONil(tc_List_Olist(T_b))
% 163.96/163.62 <=> ! [B_x] :
% 163.96/163.62 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),B_x),hAPP(c_List_Oset(tc_List_Olist(T_b)),V_xs_2)))
% 163.96/163.62 => B_x = c_List_Olist_ONil(T_b) ) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_length__filter__conv__card,axiom,
% 163.96/163.62 ! [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))))) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_transpose__aux__filter__tail,axiom,
% 163.96/163.62 ! [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)) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_transpose_Opsimps_I3_J,axiom,
% 163.96/163.62 ! [V_xss_2,V_xs_2,V_x_2,T_b] :
% 163.96/163.62 ( 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)))
% 163.96/163.62 => 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))))) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_transpose_Opsimps_I2_J,axiom,
% 163.96/163.62 ! [V_xss_2,T_b] :
% 163.96/163.62 ( 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)))
% 163.96/163.62 => 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) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_sublist__shift__lemma__Suc,axiom,
% 163.96/163.62 ! [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)))) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_select__weigth__drop__zero,axiom,
% 163.96/163.62 ! [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) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_pick__drop__zero,axiom,
% 163.96/163.62 ! [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) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_transpose_Opsimps_I1_J,axiom,
% 163.96/163.62 ! [T_b] :
% 163.96/163.62 ( 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))))
% 163.96/163.62 => c_List_Otranspose(T_b,c_List_Olist_ONil(tc_List_Olist(T_b))) = c_List_Olist_ONil(tc_List_Olist(T_b)) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_transpose__max__length,axiom,
% 163.96/163.62 ! [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)) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_transpose__aux__max,axiom,
% 163.96/163.62 ! [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)))) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_foldr_Osimps_I1_J,axiom,
% 163.96/163.62 ! [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 ).
% 163.96/163.62
% 163.96/163.62 fof(fact_foldr_Osimps_I2_J,axiom,
% 163.96/163.62 ! [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)) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_foldr__append,axiom,
% 163.96/163.62 ! [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)) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_foldr__conv__foldl,axiom,
% 163.96/163.62 ! [V_a_2,V_xs_2,T_b] :
% 163.96/163.62 ( class_Groups_Oab__semigroup__add(T_b)
% 163.96/163.62 => 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) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_foldr__map,axiom,
% 163.96/163.62 ! [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) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_foldl__foldr1,axiom,
% 163.96/163.62 ! [V_xs_2,T_b] :
% 163.96/163.62 ( class_Groups_Omonoid__add(T_b)
% 163.96/163.62 => 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)) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_foldl__foldr1__lemma,axiom,
% 163.96/163.62 ! [V_xs_2,V_a_2,T_b] :
% 163.96/163.62 ( class_Groups_Omonoid__add(T_b)
% 163.96/163.62 => 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))) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_length__transpose,axiom,
% 163.96/163.62 ! [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)) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_sublist__def,axiom,
% 163.96/163.62 ! [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))))) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_sublist__shift__lemma,axiom,
% 163.96/163.62 ! [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))))) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_atLeastLessThan__upt,axiom,
% 163.96/163.62 ! [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)) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_set__upt,axiom,
% 163.96/163.62 ! [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) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_upt__Suc,axiom,
% 163.96/163.62 ! [V_j,V_i] :
% 163.96/163.62 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 163.96/163.62 => 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))) )
% 163.96/163.62 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 163.96/163.62 => c_List_Oupt(V_i,hAPP(c_Nat_OSuc,V_j)) = c_List_Olist_ONil(tc_Nat_Onat) ) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_upt__Suc__append,axiom,
% 163.96/163.62 ! [V_j,V_i] :
% 163.96/163.62 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 163.96/163.62 => 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))) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_upt__add__eq__append,axiom,
% 163.96/163.62 ! [V_k,V_j,V_i] :
% 163.96/163.62 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 163.96/163.62 => 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))) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_upt__rec,axiom,
% 163.96/163.62 ! [V_j,V_i] :
% 163.96/163.62 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 163.96/163.62 => 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)) )
% 163.96/163.62 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 163.96/163.62 => c_List_Oupt(V_i,V_j) = c_List_Olist_ONil(tc_Nat_Onat) ) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_upt__conv__Cons,axiom,
% 163.96/163.62 ! [V_j,V_i] :
% 163.96/163.62 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 163.96/163.62 => 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)) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_upt__eq__Nil__conv,axiom,
% 163.96/163.62 ! [V_j_2,V_i_2] :
% 163.96/163.62 ( c_List_Oupt(V_i_2,V_j_2) = c_List_Olist_ONil(tc_Nat_Onat)
% 163.96/163.62 <=> ( V_j_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 163.96/163.62 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j_2),V_i_2)) ) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_upt__conv__Nil,axiom,
% 163.96/163.62 ! [V_i,V_j] :
% 163.96/163.62 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j),V_i))
% 163.96/163.62 => c_List_Oupt(V_i,V_j) = c_List_Olist_ONil(tc_Nat_Onat) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_upt__0,axiom,
% 163.96/163.62 ! [V_i] : c_List_Oupt(V_i,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_List_Olist_ONil(tc_Nat_Onat) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_take__upt,axiom,
% 163.96/163.62 ! [V_n,V_m,V_i] :
% 163.96/163.62 ( 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))
% 163.96/163.62 => 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)) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_sorted__list__of__set__range,axiom,
% 163.96/163.62 ! [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) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_hd__upt,axiom,
% 163.96/163.62 ! [V_j,V_i] :
% 163.96/163.62 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 163.96/163.62 => hAPP(c_List_Ohd(tc_Nat_Onat),c_List_Oupt(V_i,V_j)) = V_i ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_drop__upt,axiom,
% 163.96/163.62 ! [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) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_distinct__upt,axiom,
% 163.96/163.62 ! [V_j,V_i] : hBOOL(hAPP(c_List_Odistinct(tc_Nat_Onat),c_List_Oupt(V_i,V_j))) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_length__upt,axiom,
% 163.96/163.62 ! [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) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_upt__rec__number__of,axiom,
% 163.96/163.62 ! [V_n,V_m] :
% 163.96/163.62 ( ( 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)))
% 163.96/163.62 => 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))) )
% 163.96/163.62 & ( ~ 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)))
% 163.96/163.62 => 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) ) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_upt__eq__Cons__conv,axiom,
% 163.96/163.62 ! [V_xs_2,V_x_2,V_j_2,V_i_2] :
% 163.96/163.62 ( c_List_Oupt(V_i_2,V_j_2) = hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat),V_x_2),V_xs_2)
% 163.96/163.62 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2),V_j_2))
% 163.96/163.62 & V_i_2 = V_x_2
% 163.96/163.62 & 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 ) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_last__upt,axiom,
% 163.96/163.62 ! [V_j,V_i] :
% 163.96/163.62 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 163.96/163.62 => 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)) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_map__Suc__upt,axiom,
% 163.96/163.62 ! [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)) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_atLeastAtMost__upt,axiom,
% 163.96/163.62 ! [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))) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_atLeast__upt,axiom,
% 163.96/163.62 ! [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)) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_nth__upt,axiom,
% 163.96/163.62 ! [V_j,V_k,V_i] :
% 163.96/163.62 ( 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))
% 163.96/163.62 => 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) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_greaterThanAtMost__upt,axiom,
% 163.96/163.62 ! [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))) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_greaterThanLessThan__upt,axiom,
% 163.96/163.62 ! [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)) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_atMost__upto,axiom,
% 163.96/163.62 ! [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))) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_map__nth,axiom,
% 163.96/163.62 ! [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 ).
% 163.96/163.62
% 163.96/163.62 fof(fact_setsum__set__upt__conv__listsum__nat,axiom,
% 163.96/163.62 ! [V_n_2,V_m_2,V_f_2,T_b] :
% 163.96/163.62 ( class_Groups_Ocomm__monoid__add(T_b)
% 163.96/163.62 => 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))) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_interv__listsum__conv__setsum__set__nat,axiom,
% 163.96/163.62 ! [V_n_2,V_m_2,V_f_2,T_b] :
% 163.96/163.62 ( class_Groups_Ocomm__monoid__add(T_b)
% 163.96/163.62 => 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))) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_nth__map__upt,axiom,
% 163.96/163.62 ! [V_f_2,T_b,V_m_2,V_n_2,V_i_2] :
% 163.96/163.62 ( 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)))
% 163.96/163.62 => 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)) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_transpose__rectangle,axiom,
% 163.96/163.62 ! [V_n_2,T_b,V_xs_2] :
% 163.96/163.62 ( ( V_xs_2 = c_List_Olist_ONil(tc_List_Olist(T_b))
% 163.96/163.62 => V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 163.96/163.62 => ( ! [B_i] :
% 163.96/163.62 ( 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)))
% 163.96/163.62 => 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 )
% 163.96/163.62 => 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)) ) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_insort__key__remove1,axiom,
% 163.96/163.62 ! [V_f_2,V_xs_2,V_a_2,T_b,T_c] :
% 163.96/163.62 ( class_Orderings_Olinorder(T_c)
% 163.96/163.62 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 163.96/163.62 => ( c_List_Olinorder__class_Osorted(T_c,hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_xs_2))
% 163.96/163.62 => ( 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
% 163.96/163.62 => 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 ) ) ) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_sorted_ONil,axiom,
% 163.96/163.62 ! [T_a] :
% 163.96/163.62 ( class_Orderings_Olinorder(T_a)
% 163.96/163.62 => c_List_Olinorder__class_Osorted(T_a,c_List_Olist_ONil(T_a)) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_sorted__single,axiom,
% 163.96/163.62 ! [V_x,T_a] :
% 163.96/163.62 ( class_Orderings_Olinorder(T_a)
% 163.96/163.62 => c_List_Olinorder__class_Osorted(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),c_List_Olist_ONil(T_a))) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_sorted__upt,axiom,
% 163.96/163.62 ! [V_j,V_i] : c_List_Olinorder__class_Osorted(tc_Nat_Onat,c_List_Oupt(V_i,V_j)) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_sorted__sort,axiom,
% 163.96/163.62 ! [V_xs_2,T_b] :
% 163.96/163.62 ( class_Orderings_Olinorder(T_b)
% 163.96/163.62 => c_List_Olinorder__class_Osorted(T_b,c_List_Olinorder__class_Osort__key(T_b,T_b,c_COMBI(T_b),V_xs_2)) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_sorted__insort__insert,axiom,
% 163.96/163.62 ! [V_x_2,V_xs_2,T_b] :
% 163.96/163.62 ( class_Orderings_Olinorder(T_b)
% 163.96/163.62 => ( c_List_Olinorder__class_Osorted(T_b,V_xs_2)
% 163.96/163.62 => 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)) ) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_sorted__drop,axiom,
% 163.96/163.62 ! [V_n,V_xs,T_a] :
% 163.96/163.62 ( class_Orderings_Olinorder(T_a)
% 163.96/163.62 => ( c_List_Olinorder__class_Osorted(T_a,V_xs)
% 163.96/163.62 => c_List_Olinorder__class_Osorted(T_a,hAPP(hAPP(c_List_Odrop(T_a),V_n),V_xs)) ) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_sorted__upto,axiom,
% 163.96/163.62 ! [V_j,V_i] : c_List_Olinorder__class_Osorted(tc_Int_Oint,c_List_Oupto(V_i,V_j)) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_sorted__take,axiom,
% 163.96/163.62 ! [V_n,V_xs,T_a] :
% 163.96/163.62 ( class_Orderings_Olinorder(T_a)
% 163.96/163.62 => ( c_List_Olinorder__class_Osorted(T_a,V_xs)
% 163.96/163.62 => c_List_Olinorder__class_Osorted(T_a,hAPP(hAPP(c_List_Otake(T_a),V_n),V_xs)) ) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_sorted__remove1,axiom,
% 163.96/163.62 ! [V_a,V_xs,T_a] :
% 163.96/163.62 ( class_Orderings_Olinorder(T_a)
% 163.96/163.62 => ( c_List_Olinorder__class_Osorted(T_a,V_xs)
% 163.96/163.62 => c_List_Olinorder__class_Osorted(T_a,c_List_Oremove1(T_a,V_a,V_xs)) ) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_sorted__tl,axiom,
% 163.96/163.62 ! [V_xs,T_a] :
% 163.96/163.62 ( class_Orderings_Olinorder(T_a)
% 163.96/163.62 => ( c_List_Olinorder__class_Osorted(T_a,V_xs)
% 163.96/163.62 => c_List_Olinorder__class_Osorted(T_a,hAPP(c_List_Otl(T_a),V_xs)) ) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_sorted__insort,axiom,
% 163.96/163.62 ! [V_xs_2,V_x_2,T_b] :
% 163.96/163.62 ( class_Orderings_Olinorder(T_b)
% 163.96/163.62 => ( 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))
% 163.96/163.62 <=> c_List_Olinorder__class_Osorted(T_b,V_xs_2) ) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_sorted__butlast,axiom,
% 163.96/163.62 ! [V_xs,T_a] :
% 163.96/163.62 ( class_Orderings_Olinorder(T_a)
% 163.96/163.62 => ( V_xs != c_List_Olist_ONil(T_a)
% 163.96/163.62 => ( c_List_Olinorder__class_Osorted(T_a,V_xs)
% 163.96/163.62 => c_List_Olinorder__class_Osorted(T_a,c_List_Obutlast(T_a,V_xs)) ) ) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_sorted_Oequations_I1_J,axiom,
% 163.96/163.62 ! [T_a] :
% 163.96/163.62 ( class_Orderings_Olinorder(T_a)
% 163.96/163.62 => c_List_Olinorder__class_Osorted(T_a,c_List_Olist_ONil(T_a)) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_sorted__many__eq,axiom,
% 163.96/163.62 ! [V_zs_2,V_y_2,V_x_2,T_b] :
% 163.96/163.62 ( class_Orderings_Olinorder(T_b)
% 163.96/163.62 => ( 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)))
% 163.96/163.62 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 163.96/163.62 & c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),V_zs_2)) ) ) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_sorted__many,axiom,
% 163.96/163.62 ! [V_zs,V_y,V_x,T_a] :
% 163.96/163.62 ( class_Orderings_Olinorder(T_a)
% 163.96/163.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 163.96/163.62 => ( c_List_Olinorder__class_Osorted(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_y),V_zs))
% 163.96/163.62 => 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))) ) ) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_sorted__remdups,axiom,
% 163.96/163.62 ! [V_l,T_a] :
% 163.96/163.62 ( class_Orderings_Olinorder(T_a)
% 163.96/163.62 => ( c_List_Olinorder__class_Osorted(T_a,V_l)
% 163.96/163.62 => c_List_Olinorder__class_Osorted(T_a,c_List_Oremdups(T_a,V_l)) ) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_sorted__distinct__set__unique,axiom,
% 163.96/163.62 ! [V_ys_2,V_xs_2,T_b] :
% 163.96/163.62 ( class_Orderings_Olinorder(T_b)
% 163.96/163.62 => ( c_List_Olinorder__class_Osorted(T_b,V_xs_2)
% 163.96/163.62 => ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 163.96/163.62 => ( c_List_Olinorder__class_Osorted(T_b,V_ys_2)
% 163.96/163.62 => ( hBOOL(hAPP(c_List_Odistinct(T_b),V_ys_2))
% 163.96/163.62 => ( hAPP(c_List_Oset(T_b),V_xs_2) = hAPP(c_List_Oset(T_b),V_ys_2)
% 163.96/163.62 => V_xs_2 = V_ys_2 ) ) ) ) ) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_sorted__sort__key,axiom,
% 163.96/163.62 ! [V_xs_2,V_f_2,T_c,T_b] :
% 163.96/163.62 ( class_Orderings_Olinorder(T_b)
% 163.96/163.62 => 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))) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_sorted__insort__insert__key,axiom,
% 163.96/163.62 ! [V_x_2,V_xs_2,V_f_2,T_c,T_b] :
% 163.96/163.62 ( class_Orderings_Olinorder(T_b)
% 163.96/163.62 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2))
% 163.96/163.62 => 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))) ) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_sorted__map__remove1,axiom,
% 163.96/163.62 ! [V_x_2,V_xs_2,V_f_2,T_c,T_b] :
% 163.96/163.62 ( class_Orderings_Olinorder(T_b)
% 163.96/163.62 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2))
% 163.96/163.62 => 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))) ) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_sorted__insort__key,axiom,
% 163.96/163.62 ! [V_xs_2,V_x_2,V_f_2,T_c,T_b] :
% 163.96/163.62 ( class_Orderings_Olinorder(T_b)
% 163.96/163.62 => ( 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)))
% 163.96/163.62 <=> c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)) ) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_sorted__map__same,axiom,
% 163.96/163.62 ! [V_xs_2,V_g_2,V_f_2,T_c,T_b] :
% 163.96/163.62 ( class_Orderings_Olinorder(T_b)
% 163.96/163.62 => 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))) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_sorted__filter,axiom,
% 163.96/163.62 ! [V_P_2,V_xs_2,V_f_2,T_c,T_b] :
% 163.96/163.62 ( class_Orderings_Olinorder(T_b)
% 163.96/163.62 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2))
% 163.96/163.62 => 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))) ) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_sorted__same,axiom,
% 163.96/163.62 ! [V_xs_2,V_g_2,T_b] :
% 163.96/163.62 ( class_Orderings_Olinorder(T_b)
% 163.96/163.62 => 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)) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_sorted__Cons,axiom,
% 163.96/163.62 ! [V_xs_2,V_x_2,T_b] :
% 163.96/163.62 ( class_Orderings_Olinorder(T_b)
% 163.96/163.62 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2))
% 163.96/163.62 <=> ( c_List_Olinorder__class_Osorted(T_b,V_xs_2)
% 163.96/163.62 & ! [B_x] :
% 163.96/163.62 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 163.96/163.62 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),B_x)) ) ) ) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_sorted__append,axiom,
% 163.96/163.62 ! [V_ys_2,V_xs_2,T_b] :
% 163.96/163.62 ( class_Orderings_Olinorder(T_b)
% 163.96/163.62 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2))
% 163.96/163.62 <=> ( c_List_Olinorder__class_Osorted(T_b,V_xs_2)
% 163.96/163.62 & c_List_Olinorder__class_Osorted(T_b,V_ys_2)
% 163.96/163.62 & ! [B_x] :
% 163.96/163.62 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 163.96/163.62 => ! [B_xa] :
% 163.96/163.62 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),hAPP(c_List_Oset(T_b),V_ys_2)))
% 163.96/163.62 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),B_x),B_xa)) ) ) ) ) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_filter__insort,axiom,
% 163.96/163.62 ! [V_x_2,V_P_2,V_xs_2,V_f_2,T_c,T_b] :
% 163.96/163.62 ( class_Orderings_Olinorder(T_b)
% 163.96/163.62 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2))
% 163.96/163.62 => ( hBOOL(hAPP(V_P_2,V_x_2))
% 163.96/163.62 => 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)) ) ) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_sorted_Oequations_I2_J,axiom,
% 163.96/163.62 ! [V_a1_2,V_a2_2,T_b] :
% 163.96/163.62 ( class_Orderings_Olinorder(T_b)
% 163.96/163.62 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Olist_OCons(T_b),V_a2_2),V_a1_2))
% 163.96/163.62 <=> ( ! [B_x] :
% 163.96/163.62 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_a1_2)))
% 163.96/163.62 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a2_2),B_x)) )
% 163.96/163.62 & c_List_Olinorder__class_Osorted(T_b,V_a1_2) ) ) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_sorted__list__of__set,axiom,
% 163.96/163.62 ! [V_A_2,T_b] :
% 163.96/163.62 ( class_Orderings_Olinorder(T_b)
% 163.96/163.62 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.96/163.62 => ( hAPP(c_List_Oset(T_b),c_List_Olinorder__class_Osorted__list__of__set(T_b,V_A_2)) = V_A_2
% 163.96/163.62 & c_List_Olinorder__class_Osorted(T_b,c_List_Olinorder__class_Osorted__list__of__set(T_b,V_A_2))
% 163.96/163.62 & hBOOL(hAPP(c_List_Odistinct(T_b),c_List_Olinorder__class_Osorted__list__of__set(T_b,V_A_2))) ) ) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_insort__remove1,axiom,
% 163.96/163.62 ! [V_xs_2,V_a_2,T_b] :
% 163.96/163.62 ( class_Orderings_Olinorder(T_b)
% 163.96/163.62 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 163.96/163.62 => ( c_List_Olinorder__class_Osorted(T_b,V_xs_2)
% 163.96/163.62 => 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 ) ) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_sorted__nth__mono,axiom,
% 163.96/163.62 ! [V_j,V_i,V_xs,T_a] :
% 163.96/163.62 ( class_Orderings_Olinorder(T_a)
% 163.96/163.62 => ( c_List_Olinorder__class_Osorted(T_a,V_xs)
% 163.96/163.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 163.96/163.62 => ( 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)))
% 163.96/163.62 => 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))) ) ) ) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_sorted__equals__nth__mono,axiom,
% 163.96/163.62 ! [V_xs_2,T_b] :
% 163.96/163.62 ( class_Orderings_Olinorder(T_b)
% 163.96/163.62 => ( c_List_Olinorder__class_Osorted(T_b,V_xs_2)
% 163.96/163.62 <=> ! [B_j] :
% 163.96/163.62 ( 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)))
% 163.96/163.62 => ! [B_i] :
% 163.96/163.62 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_i),B_j))
% 163.96/163.62 => 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))) ) ) ) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_map__sorted__distinct__set__unique,axiom,
% 163.96/163.62 ! [V_ys_2,V_xs_2,V_f_2,T_b,T_c] :
% 163.96/163.62 ( class_Orderings_Olinorder(T_c)
% 163.96/163.62 => ( 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)))
% 163.96/163.62 => ( c_List_Olinorder__class_Osorted(T_c,hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_xs_2))
% 163.96/163.62 => ( hBOOL(hAPP(c_List_Odistinct(T_c),hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_xs_2)))
% 163.96/163.62 => ( c_List_Olinorder__class_Osorted(T_c,hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_ys_2))
% 163.96/163.62 => ( hBOOL(hAPP(c_List_Odistinct(T_c),hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_ys_2)))
% 163.96/163.62 => ( hAPP(c_List_Oset(T_b),V_xs_2) = hAPP(c_List_Oset(T_b),V_ys_2)
% 163.96/163.62 => V_xs_2 = V_ys_2 ) ) ) ) ) ) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_transpose__column,axiom,
% 163.96/163.62 ! [V_i_2,V_xs_2,T_b] :
% 163.96/163.62 ( 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)))
% 163.96/163.62 => ( 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)))
% 163.96/163.62 => 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) ) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_nth__nth__transpose__sorted,axiom,
% 163.96/163.62 ! [V_j_2,V_i_2,V_xs_2,T_b] :
% 163.96/163.62 ( 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)))
% 163.96/163.62 => ( 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))))
% 163.96/163.62 => ( 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))))
% 163.96/163.62 => 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) ) ) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_inj__on__rev,axiom,
% 163.96/163.62 ! [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) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_distinct__rev,axiom,
% 163.96/163.62 ! [V_xs_2,T_b] :
% 163.96/163.62 ( hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(c_List_Orev(T_b),V_xs_2)))
% 163.96/163.62 <=> hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_rev_Osimps_I1_J,axiom,
% 163.96/163.62 ! [T_a] : hAPP(c_List_Orev(T_a),c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_Nil__is__rev__conv,axiom,
% 163.96/163.62 ! [V_xs_2,T_b] :
% 163.96/163.62 ( c_List_Olist_ONil(T_b) = hAPP(c_List_Orev(T_b),V_xs_2)
% 163.96/163.62 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_rev__is__Nil__conv,axiom,
% 163.96/163.62 ! [V_xs_2,T_b] :
% 163.96/163.62 ( hAPP(c_List_Orev(T_b),V_xs_2) = c_List_Olist_ONil(T_b)
% 163.96/163.62 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_rev__singleton__conv,axiom,
% 163.96/163.62 ! [V_x_2,V_xs_2,T_b] :
% 163.96/163.62 ( 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))
% 163.96/163.62 <=> V_xs_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),c_List_Olist_ONil(T_b)) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_singleton__rev__conv,axiom,
% 163.96/163.62 ! [V_xs_2,V_x_2,T_b] :
% 163.96/163.62 ( 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)
% 163.96/163.62 <=> V_xs_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),c_List_Olist_ONil(T_b)) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_rev__append,axiom,
% 163.96/163.62 ! [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)) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_rev__concat,axiom,
% 163.96/163.62 ! [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))) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_rev__map,axiom,
% 163.96/163.62 ! [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)) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_rev__filter,axiom,
% 163.96/163.62 ! [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)) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_zip__rev,axiom,
% 163.96/163.62 ! [V_ys,T_b,V_xs,T_a] :
% 163.96/163.62 ( 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)
% 163.96/163.62 => 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)) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_set__rev,axiom,
% 163.96/163.62 ! [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) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_list__all2__rev1,axiom,
% 163.96/163.62 ! [V_ys_2,V_xs_2,V_P_2,T_c,T_b] :
% 163.96/163.62 ( c_List_Olist__all2(T_b,T_c,V_P_2,hAPP(c_List_Orev(T_b),V_xs_2),V_ys_2)
% 163.96/163.62 <=> c_List_Olist__all2(T_b,T_c,V_P_2,V_xs_2,hAPP(c_List_Orev(T_c),V_ys_2)) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_list__all2__rev,axiom,
% 163.96/163.62 ! [V_ys_2,V_xs_2,V_P_2,T_c,T_b] :
% 163.96/163.62 ( 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))
% 163.96/163.62 <=> c_List_Olist__all2(T_b,T_c,V_P_2,V_xs_2,V_ys_2) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_rev__is__rev__conv,axiom,
% 163.96/163.62 ! [V_ys_2,V_xs_2,T_b] :
% 163.96/163.62 ( hAPP(c_List_Orev(T_b),V_xs_2) = hAPP(c_List_Orev(T_b),V_ys_2)
% 163.96/163.62 <=> V_xs_2 = V_ys_2 ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_rev__swap,axiom,
% 163.96/163.62 ! [V_ys_2,V_xs_2,T_b] :
% 163.96/163.62 ( hAPP(c_List_Orev(T_b),V_xs_2) = V_ys_2
% 163.96/163.62 <=> V_xs_2 = hAPP(c_List_Orev(T_b),V_ys_2) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_rev__rev__ident,axiom,
% 163.96/163.62 ! [V_xs,T_a] : hAPP(c_List_Orev(T_a),hAPP(c_List_Orev(T_a),V_xs)) = V_xs ).
% 163.96/163.62
% 163.96/163.62 fof(fact_listsum__rev,axiom,
% 163.96/163.62 ! [V_xs,T_a] :
% 163.96/163.62 ( class_Groups_Ocomm__monoid__add(T_a)
% 163.96/163.62 => 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) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_length__rev,axiom,
% 163.96/163.62 ! [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) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_foldl__foldr,axiom,
% 163.96/163.62 ! [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) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_foldr__foldl,axiom,
% 163.96/163.62 ! [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)) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_rev_Osimps_I2_J,axiom,
% 163.96/163.62 ! [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))) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_rev__eq__Cons__iff,axiom,
% 163.96/163.62 ! [V_ys_2,V_y_2,V_xs_2,T_b] :
% 163.96/163.62 ( hAPP(c_List_Orev(T_b),V_xs_2) = hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),V_ys_2)
% 163.96/163.62 <=> 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))) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_last__rev,axiom,
% 163.96/163.62 ! [T_a,V_xs] :
% 163.96/163.62 ( V_xs != c_List_Olist_ONil(T_a)
% 163.96/163.62 => c_List_Olast(T_a,hAPP(c_List_Orev(T_a),V_xs)) = hAPP(c_List_Ohd(T_a),V_xs) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_hd__rev,axiom,
% 163.96/163.62 ! [T_a,V_xs] :
% 163.96/163.62 ( V_xs != c_List_Olist_ONil(T_a)
% 163.96/163.62 => hAPP(c_List_Ohd(T_a),hAPP(c_List_Orev(T_a),V_xs)) = c_List_Olast(T_a,V_xs) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_sorted__transpose,axiom,
% 163.96/163.62 ! [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)))) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_rev__foldl__cons,axiom,
% 163.96/163.62 ! [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) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_rev__take,axiom,
% 163.96/163.62 ! [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)) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_rev__drop,axiom,
% 163.96/163.62 ! [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)) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_rotate__rev,axiom,
% 163.96/163.62 ! [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)) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_rev__nth,axiom,
% 163.96/163.62 ! [V_xs,T_a,V_n] :
% 163.96/163.62 ( 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)))
% 163.96/163.62 => 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))) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_rev__update,axiom,
% 163.96/163.62 ! [V_y,V_xs,T_a,V_k] :
% 163.96/163.62 ( 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)))
% 163.96/163.62 => 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) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_sorted__rev__nth__mono,axiom,
% 163.96/163.62 ! [V_j,V_i,V_xs,T_a] :
% 163.96/163.62 ( class_Orderings_Olinorder(T_a)
% 163.96/163.62 => ( c_List_Olinorder__class_Osorted(T_a,hAPP(c_List_Orev(T_a),V_xs))
% 163.96/163.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 163.96/163.62 => ( 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)))
% 163.96/163.62 => 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))) ) ) ) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_foldr__max__sorted,axiom,
% 163.96/163.62 ! [V_y_2,V_xs_2,T_b] :
% 163.96/163.62 ( class_Orderings_Olinorder(T_b)
% 163.96/163.62 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(c_List_Orev(T_b),V_xs_2))
% 163.96/163.62 => ( ( V_xs_2 = c_List_Olist_ONil(T_b)
% 163.96/163.62 => c_List_Ofoldr(T_b,T_b,c_Orderings_Oord__class_Omax(T_b),V_xs_2,V_y_2) = V_y_2 )
% 163.96/163.62 & ( V_xs_2 != c_List_Olist_ONil(T_b)
% 163.96/163.62 => 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) ) ) ) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_length__transpose__sorted,axiom,
% 163.96/163.62 ! [V_xs_2,T_b] :
% 163.96/163.62 ( 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)))
% 163.96/163.62 => ( ( V_xs_2 = c_List_Olist_ONil(tc_List_Olist(T_b))
% 163.96/163.62 => 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) )
% 163.96/163.62 & ( V_xs_2 != c_List_Olist_ONil(tc_List_Olist(T_b))
% 163.96/163.62 => 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))) ) ) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_transpose__column__length,axiom,
% 163.96/163.62 ! [V_i_2,V_xs_2,T_b] :
% 163.96/163.62 ( 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)))
% 163.96/163.62 => ( 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)))
% 163.96/163.62 => 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)) ) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_transpose__transpose,axiom,
% 163.96/163.62 ! [V_xs_2,T_b] :
% 163.96/163.62 ( 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)))
% 163.96/163.62 => 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) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_transfer__nat__int__list__functions_I2_J,axiom,
% 163.96/163.62 c_List_Olist_ONil(tc_Nat_Onat) = c_List_Oreturn__list(c_List_Olist_ONil(tc_Int_Oint)) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_sorted__takeWhile,axiom,
% 163.96/163.62 ! [V_P_2,V_xs_2,T_b] :
% 163.96/163.62 ( class_Orderings_Olinorder(T_b)
% 163.96/163.62 => ( c_List_Olinorder__class_Osorted(T_b,V_xs_2)
% 163.96/163.62 => c_List_Olinorder__class_Osorted(T_b,c_List_OtakeWhile(T_b,V_P_2,V_xs_2)) ) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_length__takeWhile__le,axiom,
% 163.96/163.62 ! [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))) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_set__takeWhileD,axiom,
% 163.96/163.62 ! [V_xs_2,V_P_2,V_x_2,T_b] :
% 163.96/163.62 ( 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))))
% 163.96/163.62 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 163.96/163.62 & hBOOL(hAPP(V_P_2,V_x_2)) ) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_takeWhile__eq__all__conv,axiom,
% 163.96/163.62 ! [V_xs_2,V_P_2,T_b] :
% 163.96/163.62 ( c_List_OtakeWhile(T_b,V_P_2,V_xs_2) = V_xs_2
% 163.96/163.62 <=> ! [B_x] :
% 163.96/163.62 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 163.96/163.62 => hBOOL(hAPP(V_P_2,B_x)) ) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_zip__takeWhile__snd,axiom,
% 163.96/163.62 ! [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)) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_zip__takeWhile__fst,axiom,
% 163.96/163.62 ! [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)) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_takeWhile__map,axiom,
% 163.96/163.62 ! [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)) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_takeWhile__tail,axiom,
% 163.96/163.62 ! [V_l_2,V_xs_2,T_b,V_x_2,V_P_2] :
% 163.96/163.62 ( ~ hBOOL(hAPP(V_P_2,V_x_2))
% 163.96/163.62 => 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) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_takeWhile_Osimps_I2_J,axiom,
% 163.96/163.62 ! [V_xs_2,T_b,V_x_2,V_P_2] :
% 163.96/163.62 ( ( hBOOL(hAPP(V_P_2,V_x_2))
% 163.96/163.62 => 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)) )
% 163.96/163.62 & ( ~ hBOOL(hAPP(V_P_2,V_x_2))
% 163.96/163.62 => 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) ) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_takeWhile_Osimps_I1_J,axiom,
% 163.96/163.62 ! [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) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_takeWhile__eq__take,axiom,
% 163.96/163.62 ! [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) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_distinct__takeWhile,axiom,
% 163.96/163.62 ! [V_P_2,V_xs_2,T_b] :
% 163.96/163.62 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 163.96/163.62 => hBOOL(hAPP(c_List_Odistinct(T_b),c_List_OtakeWhile(T_b,V_P_2,V_xs_2))) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_return__list__def,axiom,
% 163.96/163.62 ! [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) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_takeWhile__append1,axiom,
% 163.96/163.62 ! [V_ys_2,V_P_2,V_xs_2,V_x_2,T_b] :
% 163.96/163.62 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 163.96/163.62 => ( ~ hBOOL(hAPP(V_P_2,V_x_2))
% 163.96/163.62 => 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) ) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_nth__length__takeWhile,axiom,
% 163.96/163.62 ! [V_xs_2,V_P_2,T_b] :
% 163.96/163.62 ( 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)))
% 163.96/163.62 => ~ 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))))) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_takeWhile__nth,axiom,
% 163.96/163.62 ! [V_xs_2,V_P_2,T_b,V_j_2] :
% 163.96/163.62 ( 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))))
% 163.96/163.62 => 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) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_takeWhile__not__last,axiom,
% 163.96/163.62 ! [T_b,V_xs_2] :
% 163.96/163.62 ( V_xs_2 != c_List_Olist_ONil(T_b)
% 163.96/163.62 => ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 163.96/163.62 => 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) ) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_filter__equals__takeWhile__sorted__rev,axiom,
% 163.96/163.62 ! [V_t_2,V_xs_2,V_f_2,T_c,T_b] :
% 163.96/163.62 ( class_Orderings_Olinorder(T_b)
% 163.96/163.62 => ( 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)))
% 163.96/163.62 => 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) ) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_transfer__nat__int__list__return__embed,axiom,
% 163.96/163.62 ! [V_l] :
% 163.96/163.62 ( c_List_Onat__list(V_l)
% 163.96/163.62 => c_List_Oembed__list(c_List_Oreturn__list(V_l)) = V_l ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_transfer__nat__int__list__functions_I1_J,axiom,
% 163.96/163.62 ! [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))) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_embed__list__def,axiom,
% 163.96/163.62 ! [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) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_takeWhile__neq__rev,axiom,
% 163.96/163.62 ! [V_x_2,V_xs_2,T_b] :
% 163.96/163.62 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 163.96/163.62 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 163.96/163.62 => 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))) ) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_dropWhile__neq__rev,axiom,
% 163.96/163.62 ! [V_x_2,V_xs_2,T_b] :
% 163.96/163.62 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 163.96/163.62 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 163.96/163.62 => 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))) ) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_takeWhile__dropWhile__id,axiom,
% 163.96/163.62 ! [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 ).
% 163.96/163.62
% 163.96/163.62 fof(fact_sorted__dropWhile,axiom,
% 163.96/163.62 ! [V_P_2,V_xs_2,T_b] :
% 163.96/163.62 ( class_Orderings_Olinorder(T_b)
% 163.96/163.62 => ( c_List_Olinorder__class_Osorted(T_b,V_xs_2)
% 163.96/163.62 => c_List_Olinorder__class_Osorted(T_b,c_List_OdropWhile(T_b,V_P_2,V_xs_2)) ) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_length__dropWhile__le,axiom,
% 163.96/163.62 ! [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))) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_dropWhile__eq__Nil__conv,axiom,
% 163.96/163.62 ! [V_xs_2,V_P_2,T_b] :
% 163.96/163.62 ( c_List_OdropWhile(T_b,V_P_2,V_xs_2) = c_List_Olist_ONil(T_b)
% 163.96/163.62 <=> ! [B_x] :
% 163.96/163.62 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 163.96/163.62 => hBOOL(hAPP(V_P_2,B_x)) ) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_dropWhile_Osimps_I2_J,axiom,
% 163.96/163.62 ! [V_xs_2,T_b,V_x_2,V_P_2] :
% 163.96/163.62 ( ( hBOOL(hAPP(V_P_2,V_x_2))
% 163.96/163.62 => 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) )
% 163.96/163.62 & ( ~ hBOOL(hAPP(V_P_2,V_x_2))
% 163.96/163.62 => 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) ) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_dropWhile_Osimps_I1_J,axiom,
% 163.96/163.62 ! [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) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_distinct__dropWhile,axiom,
% 163.96/163.62 ! [V_P_2,V_xs_2,T_b] :
% 163.96/163.62 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 163.96/163.62 => hBOOL(hAPP(c_List_Odistinct(T_b),c_List_OdropWhile(T_b,V_P_2,V_xs_2))) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_hd__dropWhile,axiom,
% 163.96/163.62 ! [V_xs_2,V_P_2,T_b] :
% 163.96/163.62 ( c_List_OdropWhile(T_b,V_P_2,V_xs_2) != c_List_Olist_ONil(T_b)
% 163.96/163.62 => ~ hBOOL(hAPP(V_P_2,hAPP(c_List_Ohd(T_b),c_List_OdropWhile(T_b,V_P_2,V_xs_2)))) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_dropWhile__map,axiom,
% 163.96/163.62 ! [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)) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_dropWhile__append1,axiom,
% 163.96/163.62 ! [V_ys_2,V_P_2,V_xs_2,V_x_2,T_b] :
% 163.96/163.62 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 163.96/163.62 => ( ~ hBOOL(hAPP(V_P_2,V_x_2))
% 163.96/163.62 => 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) ) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_dropWhile__eq__Cons__conv,axiom,
% 163.96/163.62 ! [V_ys_2,V_y_2,V_xs_2,V_P_2,T_b] :
% 163.96/163.62 ( 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)
% 163.96/163.62 <=> ( 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))
% 163.96/163.62 & ~ hBOOL(hAPP(V_P_2,V_y_2)) ) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_dropWhile__eq__drop,axiom,
% 163.96/163.62 ! [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) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_dropWhile__nth,axiom,
% 163.96/163.62 ! [V_xs_2,V_P_2,T_b,V_j_2] :
% 163.96/163.62 ( 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))))
% 163.96/163.62 => 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)))) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_listsum__map__filter,axiom,
% 163.96/163.62 ! [V_f_2,V_P_2,V_xs_2,T_b,T_c] :
% 163.96/163.62 ( class_Groups_Omonoid__add(T_c)
% 163.96/163.62 => ( ! [B_x] :
% 163.96/163.62 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 163.96/163.62 => ( ~ hBOOL(hAPP(V_P_2,B_x))
% 163.96/163.62 => hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(T_c) ) )
% 163.96/163.62 => 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)) ) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_sorted__nth__monoI,axiom,
% 163.96/163.62 ! [V_xs,T_a] :
% 163.96/163.62 ( class_Orderings_Olinorder(T_a)
% 163.96/163.62 => ( ! [B_i,B_j] :
% 163.96/163.62 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_i),B_j))
% 163.96/163.62 => ( 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)))
% 163.96/163.62 => 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))) ) )
% 163.96/163.62 => c_List_Olinorder__class_Osorted(T_a,V_xs) ) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_takeWhile__eq__filter,axiom,
% 163.96/163.62 ! [V_xs_2,V_P_2,T_b] :
% 163.96/163.62 ( ! [B_x] :
% 163.96/163.62 ( 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))))
% 163.96/163.62 => ~ hBOOL(hAPP(V_P_2,B_x)) )
% 163.96/163.62 => c_List_OtakeWhile(T_b,V_P_2,V_xs_2) = hAPP(c_List_Ofilter(T_b,V_P_2),V_xs_2) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_takeWhile__eq__take__P__nth,axiom,
% 163.96/163.62 ! [V_P_2,V_xs_2,T_b,V_n_2] :
% 163.96/163.62 ( ! [B_i] :
% 163.96/163.62 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),V_n_2))
% 163.96/163.62 => ( 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)))
% 163.96/163.62 => hBOOL(hAPP(V_P_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_i))) ) )
% 163.96/163.62 => ( ( 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)))
% 163.96/163.62 => ~ hBOOL(hAPP(V_P_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),V_n_2))) )
% 163.96/163.62 => c_List_OtakeWhile(T_b,V_P_2,V_xs_2) = hAPP(hAPP(c_List_Otake(T_b),V_n_2),V_xs_2) ) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_length__takeWhile__less__P__nth,axiom,
% 163.96/163.62 ! [V_xs_2,T_b,V_P_2,V_j_2] :
% 163.96/163.62 ( ! [B_i] :
% 163.96/163.62 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),V_j_2))
% 163.96/163.62 => hBOOL(hAPP(V_P_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_i))) )
% 163.96/163.62 => ( 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)))
% 163.96/163.62 => 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)))) ) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_sorted_Osimps,axiom,
% 163.96/163.62 ! [V_a_2,T_b] :
% 163.96/163.62 ( class_Orderings_Olinorder(T_b)
% 163.96/163.62 => ( c_List_Olinorder__class_Osorted(T_b,V_a_2)
% 163.96/163.62 <=> ( V_a_2 = c_List_Olist_ONil(T_b)
% 163.96/163.62 | ? [B_xs,B_x] :
% 163.96/163.62 ( V_a_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),B_x),B_xs)
% 163.96/163.62 & ! [B_xa] :
% 163.96/163.62 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),hAPP(c_List_Oset(T_b),B_xs)))
% 163.96/163.62 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),B_x),B_xa)) )
% 163.96/163.62 & c_List_Olinorder__class_Osorted(T_b,B_xs) ) ) ) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_List_Oinsert__def,axiom,
% 163.96/163.62 ! [V_xs_2,V_x_2,T_b] :
% 163.96/163.62 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 163.96/163.62 => c_List_Oinsert(T_b,V_x_2,V_xs_2) = V_xs_2 )
% 163.96/163.62 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 163.96/163.62 => 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) ) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_not__in__set__insert,axiom,
% 163.96/163.62 ! [V_xs_2,V_x_2,T_b] :
% 163.96/163.62 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 163.96/163.62 => 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) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_insert__remdups,axiom,
% 163.96/163.62 ! [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)) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_distinct__insert,axiom,
% 163.96/163.62 ! [V_x,V_xs,T_a] :
% 163.96/163.62 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 163.96/163.62 => hBOOL(hAPP(c_List_Odistinct(T_a),c_List_Oinsert(T_a,V_x,V_xs))) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_in__set__insert,axiom,
% 163.96/163.62 ! [V_xs_2,V_x_2,T_b] :
% 163.96/163.62 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 163.96/163.62 => c_List_Oinsert(T_b,V_x_2,V_xs_2) = V_xs_2 ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_List_Oset__insert,axiom,
% 163.96/163.62 ! [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)) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_insert__Nil,axiom,
% 163.96/163.62 ! [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)) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_concat__map__maps,axiom,
% 163.96/163.62 ! [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) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_maps__def,axiom,
% 163.96/163.62 ! [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)) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_maps__simps_I2_J,axiom,
% 163.96/163.62 ! [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) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_maps__simps_I1_J,axiom,
% 163.96/163.62 ! [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)) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_distinct__concat,axiom,
% 163.96/163.62 ! [V_xs_2,T_b] :
% 163.96/163.62 ( hBOOL(hAPP(c_List_Odistinct(tc_List_Olist(T_b)),V_xs_2))
% 163.96/163.62 => ( ! [B_ys] :
% 163.96/163.62 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),B_ys),hAPP(c_List_Oset(tc_List_Olist(T_b)),V_xs_2)))
% 163.96/163.62 => hBOOL(hAPP(c_List_Odistinct(T_b),B_ys)) )
% 163.96/163.62 => ( ! [B_ys] :
% 163.96/163.62 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),B_ys),hAPP(c_List_Oset(tc_List_Olist(T_b)),V_xs_2)))
% 163.96/163.62 => ! [B_zs] :
% 163.96/163.62 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),B_zs),hAPP(c_List_Oset(tc_List_Olist(T_b)),V_xs_2)))
% 163.96/163.62 => ( B_ys != B_zs
% 163.96/163.62 => 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)) ) ) )
% 163.96/163.62 => hBOOL(hAPP(c_List_Odistinct(T_b),c_List_Oconcat(T_b,V_xs_2))) ) ) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_measures__lesseq,axiom,
% 163.96/163.62 ! [V_fs_2,T_b,V_y_2,V_x_2,V_f_2] :
% 163.96/163.62 ( 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)))
% 163.96/163.62 => ( 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)))
% 163.96/163.62 => 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)))) ) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_wf__measures,axiom,
% 163.96/163.62 ! [V_fs_2,T_b] : c_Wellfounded_Owf(T_b,c_List_Omeasures(T_b,V_fs_2)) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_in__measures_I1_J,axiom,
% 163.96/163.62 ! [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))))) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_measures__def,axiom,
% 163.96/163.62 ! [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)) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_in__measures_I2_J,axiom,
% 163.96/163.62 ! [V_fs_2,V_f_2,V_y_2,V_x_2,T_b] :
% 163.96/163.62 ( 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))))
% 163.96/163.62 <=> ( 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)))
% 163.96/163.62 | ( hAPP(V_f_2,V_x_2) = hAPP(V_f_2,V_y_2)
% 163.96/163.62 & 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))) ) ) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_measures__less,axiom,
% 163.96/163.62 ! [V_fs_2,T_b,V_y_2,V_x_2,V_f_2] :
% 163.96/163.62 ( 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)))
% 163.96/163.62 => 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)))) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_foldl__apply,axiom,
% 163.96/163.62 ! [V_s_2,V_g_2,V_h_2,V_f_2,T_c,T_d,V_xs_2,T_b] :
% 163.96/163.62 ( ! [B_x] :
% 163.96/163.62 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 163.96/163.62 => 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)) )
% 163.96/163.62 => 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)) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_order__fun_I2_J,axiom,
% 163.96/163.62 ! [V_g_2,V_f_2,T_b,T_c] :
% 163.96/163.62 ( ( class_Orderings_Oorder(T_c)
% 163.96/163.62 & class_Enum_Oenum(T_b) )
% 163.96/163.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,T_c)),V_f_2),V_g_2))
% 163.96/163.62 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,T_c)),V_f_2),V_g_2))
% 163.96/163.62 & 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)))) ) ) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_enum__ex__prod__def,axiom,
% 163.96/163.62 ! [V_P_2,T_b,T_c] :
% 163.96/163.62 ( ( class_Enum_Oenum(T_c)
% 163.96/163.62 & class_Enum_Oenum(T_b) )
% 163.96/163.62 => ( hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(tc_prod(T_b,T_c)),V_P_2))
% 163.96/163.62 <=> 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))))) ) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_exists__code,axiom,
% 163.96/163.62 ! [V_P_2,T_b] :
% 163.96/163.62 ( class_Enum_Oenum(T_b)
% 163.96/163.62 => ( ? [B_x1] : hBOOL(hAPP(V_P_2,B_x1))
% 163.96/163.62 <=> hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(T_b),V_P_2)) ) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_enum__ex,axiom,
% 163.96/163.62 ! [V_P_2,T_b] :
% 163.96/163.62 ( class_Enum_Oenum(T_b)
% 163.96/163.62 => ( hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(T_b),V_P_2))
% 163.96/163.62 <=> ? [B_x1] : hBOOL(hAPP(V_P_2,B_x1)) ) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_zip__obtain__same__length,axiom,
% 163.96/163.62 ! [V_P_2,V_ys_2,T_c,V_xs_2,T_b] :
% 163.96/163.62 ( ( 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))
% 163.96/163.62 => 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)))) )
% 163.96/163.62 => hBOOL(hAPP(V_P_2,hAPP(hAPP(c_List_Ozip(T_b,T_c),V_xs_2),V_ys_2))) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_pos__not__random__dseq__def,axiom,
% 163.96/163.62 ! [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)) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_dropWhile__append2,axiom,
% 163.96/163.62 ! [V_ys_2,V_P_2,V_xs_2,T_b] :
% 163.96/163.62 ( ! [B_x] :
% 163.96/163.62 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 163.96/163.62 => hBOOL(hAPP(V_P_2,B_x)) )
% 163.96/163.62 => 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) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_list__all2__all__nthI,axiom,
% 163.96/163.62 ! [V_P_2,V_b_2,T_c,V_a_2,T_b] :
% 163.96/163.62 ( 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)
% 163.96/163.62 => ( ! [B_n] :
% 163.96/163.62 ( 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)))
% 163.96/163.62 => 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))) )
% 163.96/163.62 => c_List_Olist__all2(T_b,T_c,V_P_2,V_a_2,V_b_2) ) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_finite__sorted__distinct__unique,axiom,
% 163.96/163.62 ! [V_A_2,T_b] :
% 163.96/163.62 ( class_Orderings_Olinorder(T_b)
% 163.96/163.62 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.96/163.62 => ? [B_x] :
% 163.96/163.62 ( hAPP(c_List_Oset(T_b),B_x) = V_A_2
% 163.96/163.62 & c_List_Olinorder__class_Osorted(T_b,B_x)
% 163.96/163.62 & hBOOL(hAPP(c_List_Odistinct(T_b),B_x))
% 163.96/163.62 & ! [B_y] :
% 163.96/163.62 ( ( hAPP(c_List_Oset(T_b),B_y) = V_A_2
% 163.96/163.62 & c_List_Olinorder__class_Osorted(T_b,B_y)
% 163.96/163.62 & hBOOL(hAPP(c_List_Odistinct(T_b),B_y)) )
% 163.96/163.62 => B_y = B_x ) ) ) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_takeWhile__append2,axiom,
% 163.96/163.62 ! [V_ys_2,V_P_2,V_xs_2,T_b] :
% 163.96/163.62 ( ! [B_x] :
% 163.96/163.62 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 163.96/163.62 => hBOOL(hAPP(V_P_2,B_x)) )
% 163.96/163.62 => 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)) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_insort__is__Cons,axiom,
% 163.96/163.62 ! [V_a_2,V_f_2,V_xs_2,T_b,T_c] :
% 163.96/163.62 ( class_Orderings_Olinorder(T_c)
% 163.96/163.62 => ( ! [B_x] :
% 163.96/163.62 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 163.96/163.62 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(V_f_2,V_a_2)),hAPP(V_f_2,B_x))) )
% 163.96/163.62 => 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) ) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_filter__eq__Cons__iff,axiom,
% 163.96/163.62 ! [V_xs_2,V_x_2,V_ys_2,V_P_2,T_b] :
% 163.96/163.62 ( 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)
% 163.96/163.62 <=> ? [B_us,B_vs] :
% 163.96/163.62 ( 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))
% 163.96/163.62 & ! [B_x] :
% 163.96/163.62 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),B_us)))
% 163.96/163.62 => ~ hBOOL(hAPP(V_P_2,B_x)) )
% 163.96/163.62 & hBOOL(hAPP(V_P_2,V_x_2))
% 163.96/163.62 & V_xs_2 = hAPP(c_List_Ofilter(T_b,V_P_2),B_vs) ) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_Cons__eq__filter__iff,axiom,
% 163.96/163.62 ! [V_ys_2,V_P_2,V_xs_2,V_x_2,T_b] :
% 163.96/163.62 ( 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)
% 163.96/163.62 <=> ? [B_us,B_vs] :
% 163.96/163.62 ( 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))
% 163.96/163.62 & ! [B_x] :
% 163.96/163.62 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),B_us)))
% 163.96/163.62 => ~ hBOOL(hAPP(V_P_2,B_x)) )
% 163.96/163.62 & hBOOL(hAPP(V_P_2,V_x_2))
% 163.96/163.62 & V_xs_2 = hAPP(c_List_Ofilter(T_b,V_P_2),B_vs) ) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_order__fun_I1_J,axiom,
% 163.96/163.62 ! [V_g_2,V_f_2,T_b,T_c] :
% 163.96/163.62 ( ( class_Orderings_Oorder(T_c)
% 163.96/163.62 & class_Enum_Oenum(T_b) )
% 163.96/163.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,T_c)),V_f_2),V_g_2))
% 163.96/163.62 <=> 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))) ) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_enum__all,axiom,
% 163.96/163.62 ! [V_P_2,T_b] :
% 163.96/163.62 ( class_Enum_Oenum(T_b)
% 163.96/163.62 => ( hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(T_b),V_P_2))
% 163.96/163.62 <=> ! [B_x1] : hBOOL(hAPP(V_P_2,B_x1)) ) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_all__code,axiom,
% 163.96/163.62 ! [V_P_2,T_b] :
% 163.96/163.62 ( class_Enum_Oenum(T_b)
% 163.96/163.62 => ( ! [B_x1] : hBOOL(hAPP(V_P_2,B_x1))
% 163.96/163.62 <=> hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(T_b),V_P_2)) ) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_enum__all__prod__def,axiom,
% 163.96/163.62 ! [V_P_2,T_b,T_c] :
% 163.96/163.62 ( ( class_Enum_Oenum(T_c)
% 163.96/163.62 & class_Enum_Oenum(T_b) )
% 163.96/163.62 => ( hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(tc_prod(T_b,T_c)),V_P_2))
% 163.96/163.62 <=> 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))))) ) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_list__ball__nth,axiom,
% 163.96/163.62 ! [V_P_2,V_xs_2,T_b,V_n_2] :
% 163.96/163.62 ( 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)))
% 163.96/163.62 => ( ! [B_x] :
% 163.96/163.62 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 163.96/163.62 => hBOOL(hAPP(V_P_2,B_x)) )
% 163.96/163.62 => hBOOL(hAPP(V_P_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),V_n_2))) ) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_sorted_OCons,axiom,
% 163.96/163.62 ! [V_x_2,V_xs_2,T_b] :
% 163.96/163.62 ( class_Orderings_Olinorder(T_b)
% 163.96/163.62 => ( ! [B_x] :
% 163.96/163.62 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 163.96/163.62 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),B_x)) )
% 163.96/163.62 => ( c_List_Olinorder__class_Osorted(T_b,V_xs_2)
% 163.96/163.62 => c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) ) ) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_list__ex__length,axiom,
% 163.96/163.62 ! [V_xs_2,V_P_2,T_b] :
% 163.96/163.62 ( c_List_Olist__ex(T_b,V_P_2,V_xs_2)
% 163.96/163.62 <=> ? [B_n] :
% 163.96/163.62 ( 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)))
% 163.96/163.62 & hBOOL(hAPP(V_P_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_n))) ) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_in__set__conv__decomp,axiom,
% 163.96/163.62 ! [V_xs_2,V_x_2,T_b] :
% 163.96/163.62 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 163.96/163.62 <=> ? [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)) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_list__ex__simps_I2_J,axiom,
% 163.96/163.62 ! [V_P_2,T_b] : ~ c_List_Olist__ex(T_b,V_P_2,c_List_Olist_ONil(T_b)) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_list__ex__append,axiom,
% 163.96/163.62 ! [V_ys_2,V_xs_2,V_P_2,T_b] :
% 163.96/163.62 ( c_List_Olist__ex(T_b,V_P_2,hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2))
% 163.96/163.62 <=> ( c_List_Olist__ex(T_b,V_P_2,V_xs_2)
% 163.96/163.62 | c_List_Olist__ex(T_b,V_P_2,V_ys_2) ) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_list__ex__iff,axiom,
% 163.96/163.62 ! [V_xs_2,V_P_2,T_b] :
% 163.96/163.62 ( c_List_Olist__ex(T_b,V_P_2,V_xs_2)
% 163.96/163.62 <=> ? [B_x] :
% 163.96/163.62 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 163.96/163.62 & hBOOL(hAPP(V_P_2,B_x)) ) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_list__ex__rev,axiom,
% 163.96/163.62 ! [V_xs_2,V_P_2,T_b] :
% 163.96/163.62 ( c_List_Olist__ex(T_b,V_P_2,hAPP(c_List_Orev(T_b),V_xs_2))
% 163.96/163.62 <=> c_List_Olist__ex(T_b,V_P_2,V_xs_2) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_list__ex__simps_I1_J,axiom,
% 163.96/163.62 ! [V_xs_2,V_x_2,V_P_2,T_b] :
% 163.96/163.62 ( c_List_Olist__ex(T_b,V_P_2,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2))
% 163.96/163.62 <=> ( hBOOL(hAPP(V_P_2,V_x_2))
% 163.96/163.62 | c_List_Olist__ex(T_b,V_P_2,V_xs_2) ) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_in__set__conv__decomp__first,axiom,
% 163.96/163.62 ! [V_xs_2,V_x_2,T_b] :
% 163.96/163.62 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 163.96/163.62 <=> ? [B_ys] :
% 163.96/163.62 ( ? [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))
% 163.96/163.62 & ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),B_ys))) ) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_in__set__conv__decomp__last,axiom,
% 163.96/163.62 ! [V_xs_2,V_x_2,T_b] :
% 163.96/163.62 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 163.96/163.62 <=> ? [B_ys,B_zs] :
% 163.96/163.62 ( 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))
% 163.96/163.62 & ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),B_zs))) ) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_list__all__length,axiom,
% 163.96/163.62 ! [V_xs_2,V_P_2,T_b] :
% 163.96/163.62 ( c_List_Olist__all(T_b,V_P_2,V_xs_2)
% 163.96/163.62 <=> ! [B_n] :
% 163.96/163.62 ( 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)))
% 163.96/163.62 => hBOOL(hAPP(V_P_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_n))) ) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_finite__induct,axiom,
% 163.96/163.62 ! [V_P_2,V_F_2,T_b] :
% 163.96/163.62 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2))
% 163.96/163.62 => ( hBOOL(hAPP(V_P_2,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))
% 163.96/163.62 => ( ! [B_x,B_F] :
% 163.96/163.62 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),B_F))
% 163.96/163.62 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),B_x),B_F))
% 163.96/163.62 => ( hBOOL(hAPP(V_P_2,B_F))
% 163.96/163.62 => hBOOL(hAPP(V_P_2,hAPP(hAPP(c_Set_Oinsert(T_b),B_x),B_F))) ) ) )
% 163.96/163.62 => hBOOL(hAPP(V_P_2,V_F_2)) ) ) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_list__all__simps_I2_J,axiom,
% 163.96/163.62 ! [V_P_2,T_b] : c_List_Olist__all(T_b,V_P_2,c_List_Olist_ONil(T_b)) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_list__all__append,axiom,
% 163.96/163.62 ! [V_ys_2,V_xs_2,V_P_2,T_b] :
% 163.96/163.62 ( c_List_Olist__all(T_b,V_P_2,hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2))
% 163.96/163.62 <=> ( c_List_Olist__all(T_b,V_P_2,V_xs_2)
% 163.96/163.62 & c_List_Olist__all(T_b,V_P_2,V_ys_2) ) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_list__all__iff,axiom,
% 163.96/163.62 ! [V_xs_2,V_P_2,T_b] :
% 163.96/163.62 ( c_List_Olist__all(T_b,V_P_2,V_xs_2)
% 163.96/163.62 <=> ! [B_x] :
% 163.96/163.62 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 163.96/163.62 => hBOOL(hAPP(V_P_2,B_x)) ) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_list__all__rev,axiom,
% 163.96/163.62 ! [V_xs_2,V_P_2,T_b] :
% 163.96/163.62 ( c_List_Olist__all(T_b,V_P_2,hAPP(c_List_Orev(T_b),V_xs_2))
% 163.96/163.62 <=> c_List_Olist__all(T_b,V_P_2,V_xs_2) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_list__all__simps_I1_J,axiom,
% 163.96/163.62 ! [V_xs_2,V_x_2,V_P_2,T_b] :
% 163.96/163.62 ( c_List_Olist__all(T_b,V_P_2,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2))
% 163.96/163.62 <=> ( hBOOL(hAPP(V_P_2,V_x_2))
% 163.96/163.62 & c_List_Olist__all(T_b,V_P_2,V_xs_2) ) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_Ball__set__list__all,axiom,
% 163.96/163.62 ! [V_P_2,V_xs_2,T_b] :
% 163.96/163.62 ( ! [B_x] :
% 163.96/163.62 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 163.96/163.62 => hBOOL(hAPP(V_P_2,B_x)) )
% 163.96/163.62 <=> c_List_Olist__all(T_b,V_P_2,V_xs_2) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_list__all__iff__raw,axiom,
% 163.96/163.62 ! [V_xs_2,V_P_2,T_b] :
% 163.96/163.62 ( c_List_Olist__all(T_b,V_P_2,V_xs_2)
% 163.96/163.62 <=> ! [B_x] :
% 163.96/163.62 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 163.96/163.62 => hBOOL(hAPP(V_P_2,B_x)) ) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_list__ex1__simps_I2_J,axiom,
% 163.96/163.62 ! [V_xs_2,V_x_2,V_P_2,T_b] :
% 163.96/163.62 ( c_List_Olist__ex1(T_b,V_P_2,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2))
% 163.96/163.62 <=> ( ( hBOOL(hAPP(V_P_2,V_x_2))
% 163.96/163.62 => 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) )
% 163.96/163.62 & ( ~ hBOOL(hAPP(V_P_2,V_x_2))
% 163.96/163.62 => c_List_Olist__ex1(T_b,V_P_2,V_xs_2) ) ) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_measure__function__int,axiom,
% 163.96/163.62 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))) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_measure__snd,axiom,
% 163.96/163.62 ! [T_c,V_f_2,T_b] :
% 163.96/163.62 ( c_FunDef_Ois__measure(T_b,V_f_2)
% 163.96/163.62 => 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))) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_measure__fst,axiom,
% 163.96/163.62 ! [T_c,V_f_2,T_b] :
% 163.96/163.62 ( c_FunDef_Ois__measure(T_b,V_f_2)
% 163.96/163.62 => 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))) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_is__measure_Osimps,axiom,
% 163.96/163.62 ! [V_a_2,T_b] : c_FunDef_Ois__measure(T_b,V_a_2) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_is__measure_Oequations,axiom,
% 163.96/163.62 ! [V_a_2,T_b] : c_FunDef_Ois__measure(T_b,V_a_2) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_is__measure_Ointros,axiom,
% 163.96/163.62 ! [V_f_2,T_b] : c_FunDef_Ois__measure(T_b,V_f_2) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_measure__size,axiom,
% 163.96/163.62 ! [T_b] :
% 163.96/163.62 ( class_Nat_Osize(T_b)
% 163.96/163.62 => c_FunDef_Ois__measure(T_b,c_Nat_Osize__class_Osize(T_b)) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_list__ex1__simps_I1_J,axiom,
% 163.96/163.62 ! [V_P_2,T_b] : ~ c_List_Olist__ex1(T_b,V_P_2,c_List_Olist_ONil(T_b)) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_list__ex1__iff,axiom,
% 163.96/163.62 ! [V_xs_2,V_P_2,T_b] :
% 163.96/163.62 ( c_List_Olist__ex1(T_b,V_P_2,V_xs_2)
% 163.96/163.62 <=> ? [B_x] :
% 163.96/163.62 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 163.96/163.62 & hBOOL(hAPP(V_P_2,B_x))
% 163.96/163.62 & ! [B_y] :
% 163.96/163.62 ( ( hBOOL(hAPP(hAPP(c_member(T_b),B_y),hAPP(c_List_Oset(T_b),V_xs_2)))
% 163.96/163.62 & hBOOL(hAPP(V_P_2,B_y)) )
% 163.96/163.62 => B_y = B_x ) ) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_transfer__morphism__int__nat,axiom,
% 163.96/163.62 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)) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_New__DSequence_Opos__decr__bind__def,axiom,
% 163.96/163.62 ! [V_f_2,V_x_2,T_b,T_c,V_i_2] :
% 163.96/163.62 ( ( V_i_2 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 163.96/163.62 => 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) )
% 163.96/163.62 & ( V_i_2 != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 163.96/163.62 => 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)) ) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_bool_Osize_I3_J,axiom,
% 163.96/163.62 hAPP(c_Nat_Osize__class_Osize(tc_HOL_Obool),c_fTrue) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_bool_Osize_I4_J,axiom,
% 163.96/163.62 hAPP(c_Nat_Osize__class_Osize(tc_HOL_Obool),c_fFalse) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_New__Random__Sequence_Opos__decr__bind__def,axiom,
% 163.96/163.62 ! [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)) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_New__DSequence_Opos__empty__def,axiom,
% 163.96/163.62 ! [V_i_1,T_a] : hAPP(c_New__DSequence_Opos__empty(T_a),V_i_1) = c_Lazy__Sequence_Oempty(T_a) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_pos__empty__def,axiom,
% 163.96/163.62 ! [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) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_New__DSequence_Opos__bind__def,axiom,
% 163.96/163.62 ! [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)) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_pos__bind__def,axiom,
% 163.96/163.62 ! [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)) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_New__DSequence_Oneg__decr__bind__def,axiom,
% 163.96/163.62 ! [V_f_2,V_x_2,T_b,T_c,V_i_2] :
% 163.96/163.62 ( ( V_i_2 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 163.96/163.62 => 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) )
% 163.96/163.62 & ( V_i_2 != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 163.96/163.62 => 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)) ) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_New__Random__Sequence_Oneg__decr__bind__def,axiom,
% 163.96/163.62 ! [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)) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_New__DSequence_Oneg__bind__def,axiom,
% 163.96/163.62 ! [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)) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_neg__bind__def,axiom,
% 163.96/163.62 ! [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)) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_pos__map__def,axiom,
% 163.96/163.62 ! [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)) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_pos__single__def,axiom,
% 163.96/163.62 ! [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) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_neg__map__def,axiom,
% 163.96/163.62 ! [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)) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_New__DSequence_Opos__single__def,axiom,
% 163.96/163.62 ! [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) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_neg__single__def,axiom,
% 163.96/163.62 ! [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) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_New__DSequence_Oneg__single__def,axiom,
% 163.96/163.62 ! [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) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_,axiom,
% 163.96/163.62 ! [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)))) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_small__lazy__list_Osimps,axiom,
% 163.96/163.62 ! [V_d_2,T_b] :
% 163.96/163.62 ( class_Lazy__Sequence_Osmall__lazy(T_b)
% 163.96/163.62 => 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)))) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_length__splice,axiom,
% 163.96/163.62 ! [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)) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_small__lazy__prod__def,axiom,
% 163.96/163.62 ! [V_d,T_b,T_a] :
% 163.96/163.62 ( ( class_Lazy__Sequence_Osmall__lazy(T_a)
% 163.96/163.62 & class_Lazy__Sequence_Osmall__lazy(T_b) )
% 163.96/163.62 => 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)) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_splice_Osimps_I3_J,axiom,
% 163.96/163.62 ! [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))) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_splice__Nil2,axiom,
% 163.96/163.62 ! [V_xs,T_a] : c_List_Osplice(T_a,V_xs,c_List_Olist_ONil(T_a)) = V_xs ).
% 163.96/163.62
% 163.96/163.62 fof(fact_splice_Osimps_I1_J,axiom,
% 163.96/163.62 ! [V_ys,T_a] : c_List_Osplice(T_a,c_List_Olist_ONil(T_a),V_ys) = V_ys ).
% 163.96/163.62
% 163.96/163.62 fof(fact_splice_Osimps_I2_J,axiom,
% 163.96/163.62 ! [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) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_New__DSequence_Opos__union__def,axiom,
% 163.96/163.62 ! [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)) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_tl__replicate,axiom,
% 163.96/163.62 ! [V_x,T_a,V_n] :
% 163.96/163.62 ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 163.96/163.62 => 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) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_map__replicate__const,axiom,
% 163.96/163.62 ! [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) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_length__replicate,axiom,
% 163.96/163.62 ! [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 ).
% 163.96/163.62
% 163.96/163.62 fof(fact_replicate__length__filter,axiom,
% 163.96/163.62 ! [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) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_map__replicate,axiom,
% 163.96/163.62 ! [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)) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_replicate__0,axiom,
% 163.96/163.62 ! [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) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_empty__replicate,axiom,
% 163.96/163.62 ! [V_x_2,V_n_2,T_b] :
% 163.96/163.62 ( c_List_Olist_ONil(T_b) = c_List_Oreplicate(T_b,V_n_2,V_x_2)
% 163.96/163.62 <=> V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_replicate__empty,axiom,
% 163.96/163.62 ! [V_x_2,V_n_2,T_b] :
% 163.96/163.62 ( c_List_Oreplicate(T_b,V_n_2,V_x_2) = c_List_Olist_ONil(T_b)
% 163.96/163.62 <=> V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_concat__replicate__trivial,axiom,
% 163.96/163.62 ! [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) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_filter__replicate,axiom,
% 163.96/163.62 ! [V_n_2,T_b,V_x_2,V_P_2] :
% 163.96/163.62 ( ( hBOOL(hAPP(V_P_2,V_x_2))
% 163.96/163.62 => 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) )
% 163.96/163.62 & ( ~ hBOOL(hAPP(V_P_2,V_x_2))
% 163.96/163.62 => 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) ) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_replicate__add,axiom,
% 163.96/163.62 ! [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)) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_append__replicate__commute,axiom,
% 163.96/163.62 ! [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)) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_nth__replicate,axiom,
% 163.96/163.62 ! [V_x,T_a,V_n,V_i] :
% 163.96/163.62 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_n))
% 163.96/163.62 => hAPP(hAPP(c_List_Onth(T_a),c_List_Oreplicate(T_a,V_n,V_x)),V_i) = V_x ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_replicate__eq__replicate,axiom,
% 163.96/163.62 ! [V_y_2,V_n_2,V_x_2,V_m_2,T_b] :
% 163.96/163.62 ( c_List_Oreplicate(T_b,V_m_2,V_x_2) = c_List_Oreplicate(T_b,V_n_2,V_y_2)
% 163.96/163.62 <=> ( V_m_2 = V_n_2
% 163.96/163.62 & ( V_m_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 163.96/163.62 => V_x_2 = V_y_2 ) ) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_Bex__set__replicate,axiom,
% 163.96/163.62 ! [V_P_2,V_a_2,V_n_2,T_b] :
% 163.96/163.62 ( ? [B_x] :
% 163.96/163.62 ( 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))))
% 163.96/163.62 & hBOOL(hAPP(V_P_2,B_x)) )
% 163.96/163.62 <=> ( hBOOL(hAPP(V_P_2,V_a_2))
% 163.96/163.62 & V_n_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_Ball__set__replicate,axiom,
% 163.96/163.62 ! [V_P_2,V_a_2,V_n_2,T_b] :
% 163.96/163.62 ( ! [B_x] :
% 163.96/163.62 ( 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))))
% 163.96/163.62 => hBOOL(hAPP(V_P_2,B_x)) )
% 163.96/163.62 <=> ( hBOOL(hAPP(V_P_2,V_a_2))
% 163.96/163.62 | V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_zip__replicate,axiom,
% 163.96/163.62 ! [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)) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_last__replicate,axiom,
% 163.96/163.62 ! [V_x,T_a,V_n] :
% 163.96/163.62 ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 163.96/163.62 => c_List_Olast(T_a,c_List_Oreplicate(T_a,V_n,V_x)) = V_x ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_take__replicate,axiom,
% 163.96/163.62 ! [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) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_hd__replicate,axiom,
% 163.96/163.62 ! [V_x,T_a,V_n] :
% 163.96/163.62 ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 163.96/163.62 => hAPP(c_List_Ohd(T_a),c_List_Oreplicate(T_a,V_n,V_x)) = V_x ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_drop__replicate,axiom,
% 163.96/163.62 ! [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) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_rev__replicate,axiom,
% 163.96/163.62 ! [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) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_replicate__Suc,axiom,
% 163.96/163.62 ! [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)) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_replicate__app__Cons__same,axiom,
% 163.96/163.62 ! [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)) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_in__set__replicate,axiom,
% 163.96/163.62 ! [V_y_2,V_n_2,V_x_2,T_b] :
% 163.96/163.62 ( 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))))
% 163.96/163.62 <=> ( V_x_2 = V_y_2
% 163.96/163.62 & V_n_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 163.96/163.62
% 163.96/163.62 fof(fact_replicate__append__same,axiom,
% 163.96/163.62 ! [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)) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_map__replicate__trivial,axiom,
% 163.96/163.63 ! [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) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_set__replicate__conv__if,axiom,
% 163.96/163.63 ! [V_x_2,T_b,V_n_2] :
% 163.96/163.63 ( ( V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 163.96/163.63 => 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)) )
% 163.96/163.63 & ( V_n_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 163.96/163.63 => 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))) ) ) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_set__replicate,axiom,
% 163.96/163.63 ! [V_x_2,T_b,V_n_2] :
% 163.96/163.63 ( V_n_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 163.96/163.63 => 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))) ) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_set__replicate__Suc,axiom,
% 163.96/163.63 ! [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))) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_pos__union__def,axiom,
% 163.96/163.63 ! [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)) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_small__lazy_H_Osimps,axiom,
% 163.96/163.63 ! [V_i,V_d] :
% 163.96/163.63 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_d),V_i))
% 163.96/163.63 => c_Lazy__Sequence_Osmall__lazy_H(V_d,V_i) = c_Lazy__Sequence_Oempty(tc_Int_Oint) )
% 163.96/163.63 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_d),V_i))
% 163.96/163.63 => 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)))) ) ) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_small__lazy__int__def,axiom,
% 163.96/163.63 ! [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)) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_small__lazy_H_Opsimps,axiom,
% 163.96/163.63 ! [V_i_2,V_d_2] :
% 163.96/163.63 ( 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)))
% 163.96/163.63 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_d_2),V_i_2))
% 163.96/163.63 => c_Lazy__Sequence_Osmall__lazy_H(V_d_2,V_i_2) = c_Lazy__Sequence_Oempty(tc_Int_Oint) )
% 163.96/163.63 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_d_2),V_i_2))
% 163.96/163.63 => 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)))) ) ) ) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_eq__comp__r,axiom,
% 163.96/163.63 ! [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 ).
% 163.96/163.63
% 163.96/163.63 fof(fact_small__lazy_H_Opinduct,axiom,
% 163.96/163.63 ! [V_P_2,V_a1_2,V_a0_2] :
% 163.96/163.63 ( 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)))
% 163.96/163.63 => ( ! [B_d,B_i] :
% 163.96/163.63 ( 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)))
% 163.96/163.63 => ( ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_d),B_i))
% 163.96/163.63 => 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)))) )
% 163.96/163.63 => hBOOL(hAPP(hAPP(V_P_2,B_d),B_i)) ) )
% 163.96/163.63 => hBOOL(hAPP(hAPP(V_P_2,V_a0_2),V_a1_2)) ) ) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_field__le__epsilon,axiom,
% 163.96/163.63 ! [V_y,V_x,T_a] :
% 163.96/163.63 ( class_Fields_Olinordered__field(T_a)
% 163.96/163.63 => ( ! [B_e] :
% 163.96/163.63 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),B_e))
% 163.96/163.63 => 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))) )
% 163.96/163.63 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) ) ) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_lazy__sequence_Osize_I4_J,axiom,
% 163.96/163.63 ! [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))) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_refl__on__INTER,axiom,
% 163.96/163.63 ! [V_r_2,V_A_2,T_c,V_S_2,T_b] :
% 163.96/163.63 ( ! [B_x] :
% 163.96/163.63 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_S_2))
% 163.96/163.63 => c_Relation_Orefl__on(T_c,hAPP(V_A_2,B_x),hAPP(V_r_2,B_x)) )
% 163.96/163.63 => 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)) ) ).
% 163.96/163.63
% 163.96/163.63 fof(fact__01,axiom,
% 163.96/163.63 ! [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)) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_lazy__sequence_Oinject,axiom,
% 163.96/163.63 ! [V_lazy__sequence_H_2,V_a_H_2,V_lazy__sequence_2,V_a_2,T_b] :
% 163.96/163.63 ( 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)
% 163.96/163.63 <=> ( V_a_2 = V_a_H_2
% 163.96/163.63 & V_lazy__sequence_2 = V_lazy__sequence_H_2 ) ) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_lazy__sequence_Osize_I2_J,axiom,
% 163.96/163.63 ! [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))) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_size__code,axiom,
% 163.96/163.63 ! [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)) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_lazy__sequence__size__code,axiom,
% 163.96/163.63 ! [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)) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_seq__case,axiom,
% 163.96/163.63 ! [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)) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_yieldn__def,axiom,
% 163.96/163.63 ! [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)) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_lazy__sequence_Osimps_I5_J,axiom,
% 163.96/163.63 ! [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) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_in__set__member,axiom,
% 163.96/163.63 ! [V_xs_2,V_x_2,T_b] :
% 163.96/163.63 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 163.96/163.63 <=> hBOOL(hAPP(hAPP(c_List_Omember(T_b),V_xs_2),V_x_2)) ) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_List_Omember__def,axiom,
% 163.96/163.63 ! [V_x_2,V_xs_2,T_b] :
% 163.96/163.63 ( hBOOL(hAPP(hAPP(c_List_Omember(T_b),V_xs_2),V_x_2))
% 163.96/163.63 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) ) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_member__rec_I1_J,axiom,
% 163.96/163.63 ! [V_y_2,V_xs_2,V_x_2,T_b] :
% 163.96/163.63 ( 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))
% 163.96/163.63 <=> ( V_x_2 = V_y_2
% 163.96/163.63 | hBOOL(hAPP(hAPP(c_List_Omember(T_b),V_xs_2),V_y_2)) ) ) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_member__set,axiom,
% 163.96/163.63 ! [T_b] : c_List_Omember(T_b) = c_List_Oset(T_b) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_member__rec_I2_J,axiom,
% 163.96/163.63 ! [V_y,T_a] : ~ hBOOL(hAPP(hAPP(c_List_Omember(T_a),c_List_Olist_ONil(T_a)),V_y)) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_pair__box_Osize_I1_J,axiom,
% 163.96/163.63 ! [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))) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_list__ex1__iff__raw,axiom,
% 163.96/163.63 ! [V_xs_2,V_P_2,T_b] :
% 163.96/163.63 ( c_List_Olist__ex1(T_b,V_P_2,V_xs_2)
% 163.96/163.63 <=> ? [B_x] :
% 163.96/163.63 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 163.96/163.63 & hBOOL(hAPP(V_P_2,B_x))
% 163.96/163.63 & ! [B_y] :
% 163.96/163.63 ( ( hBOOL(hAPP(hAPP(c_member(T_b),B_y),hAPP(c_List_Oset(T_b),V_xs_2)))
% 163.96/163.63 & hBOOL(hAPP(V_P_2,B_y)) )
% 163.96/163.63 => B_y = B_x ) ) ) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_pair__box_Oinject,axiom,
% 163.96/163.63 ! [V_b_H_2,V_a_H_2,V_b_2,V_a_2,T_c,T_b] :
% 163.96/163.63 ( 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)
% 163.96/163.63 <=> ( V_a_2 = V_a_H_2
% 163.96/163.63 & V_b_2 = V_b_H_2 ) ) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_pair__box_Osize_I2_J,axiom,
% 163.96/163.63 ! [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) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_pair__box_Orecs,axiom,
% 163.96/163.63 ! [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) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_pair__box_Osimps_I2_J,axiom,
% 163.96/163.63 ! [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) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_THE__default__def,axiom,
% 163.96/163.63 ! [V_d_2,T_b,V_P_2] :
% 163.96/163.63 ( ( ? [B_x] :
% 163.96/163.63 ( hBOOL(hAPP(V_P_2,B_x))
% 163.96/163.63 & ! [B_y] :
% 163.96/163.63 ( hBOOL(hAPP(V_P_2,B_y))
% 163.96/163.63 => B_y = B_x ) )
% 163.96/163.63 => c_FunDef_OTHE__default(T_b,V_d_2,V_P_2) = c_HOL_OThe(T_b,V_P_2) )
% 163.96/163.63 & ( ~ ? [B_x] :
% 163.96/163.63 ( hBOOL(hAPP(V_P_2,B_x))
% 163.96/163.63 & ! [B_y] :
% 163.96/163.63 ( hBOOL(hAPP(V_P_2,B_y))
% 163.96/163.63 => B_y = B_x ) )
% 163.96/163.63 => c_FunDef_OTHE__default(T_b,V_d_2,V_P_2) = V_d_2 ) ) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_setsum__UNION__zero,axiom,
% 163.96/163.63 ! [V_f_2,V_S_2,T_b,T_c] :
% 163.96/163.63 ( class_Groups_Ocomm__monoid__add(T_c)
% 163.96/163.63 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(T_b,tc_HOL_Obool)),V_S_2))
% 163.96/163.63 => ( ! [B_x] :
% 163.96/163.63 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_x),V_S_2))
% 163.96/163.63 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),B_x)) )
% 163.96/163.63 => ( ! [B_T1] :
% 163.96/163.63 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_T1),V_S_2))
% 163.96/163.63 => ! [B_T2] :
% 163.96/163.63 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_T2),V_S_2))
% 163.96/163.63 => ( B_T1 != B_T2
% 163.96/163.63 => ! [B_x] :
% 163.96/163.63 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),B_T1))
% 163.96/163.63 => ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),B_T2))
% 163.96/163.63 => hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(T_c) ) ) ) ) )
% 163.96/163.63 => 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) ) ) ) ) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_finite__maxlen,axiom,
% 163.96/163.63 ! [V_M_2,T_b] :
% 163.96/163.63 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_List_Olist(T_b)),V_M_2))
% 163.96/163.63 => ? [B_n] :
% 163.96/163.63 ! [B_x] :
% 163.96/163.63 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),B_x),V_M_2))
% 163.96/163.63 => 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)) ) ) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_lazy__sequence_Osize_I3_J,axiom,
% 163.96/163.63 ! [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) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_lazy__sequence_Osimps_I2_J,axiom,
% 163.96/163.63 ! [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) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_lazy__sequence_Osimps_I3_J,axiom,
% 163.96/163.63 ! [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) ).
% 163.96/163.63
% 163.96/163.63 fof(fact__02,axiom,
% 163.96/163.63 ! [V_yq,T_a] : c_Lazy__Sequence_Oappend(T_a,c_Lazy__Sequence_Olazy__sequence_OEmpty(T_a),V_yq) = V_yq ).
% 163.96/163.63
% 163.96/163.63 fof(fact_lazy__sequence_Osimps_I4_J,axiom,
% 163.96/163.63 ! [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 ).
% 163.96/163.63
% 163.96/163.63 fof(fact_lazy__sequence_Osize_I1_J,axiom,
% 163.96/163.63 ! [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) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_list__ex__iff__not__all__inverval__int,axiom,
% 163.96/163.63 ! [V_j_2,V_i_2,V_P_2] :
% 163.96/163.63 ( c_List_Olist__ex(tc_Int_Oint,V_P_2,c_List_Oupto(V_i_2,V_j_2))
% 163.96/163.63 <=> ~ 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) ) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_list__all__iff__all__interval__int,axiom,
% 163.96/163.63 ! [V_j_2,V_i_2,V_P_2] :
% 163.96/163.63 ( c_List_Olist__all(tc_Int_Oint,V_P_2,c_List_Oupto(V_i_2,V_j_2))
% 163.96/163.63 <=> c_List_Oall__interval__int(V_P_2,V_i_2,V_j_2) ) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_all__interval__int__def,axiom,
% 163.96/163.63 ! [V_j_2,V_i_2,V_P_2] :
% 163.96/163.63 ( c_List_Oall__interval__int(V_P_2,V_i_2,V_j_2)
% 163.96/163.63 <=> ! [B_x] :
% 163.96/163.63 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_x),c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,V_i_2,V_j_2)))
% 163.96/163.63 => hBOOL(hAPP(V_P_2,B_x)) ) ) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_code__numeral_Orecs_I2_J,axiom,
% 163.96/163.63 ! [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)) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_Random_Osimps,axiom,
% 163.96/163.63 ! [V_size_2,V_g_2,T_b,V_nrandom_2] :
% 163.96/163.63 ( ( 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)))
% 163.96/163.63 => 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)) )
% 163.96/163.63 & ( ~ 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)))
% 163.96/163.63 => 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))))))) ) ) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_code__numeral_Orecs_I1_J,axiom,
% 163.96/163.63 ! [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 ).
% 163.96/163.63
% 163.96/163.63 fof(fact_Random__Sequence_Oempty__def,axiom,
% 163.96/163.63 ! [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)) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_Random__Sequence_Osingle__def,axiom,
% 163.96/163.63 ! [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)) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_Random__Sequence_Omap__def,axiom,
% 163.96/163.63 ! [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)) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_exE__realizer,axiom,
% 163.96/163.63 ! [T_d,V_f_2,V_Q_2,V_p_2,T_b,T_c,V_P_2] :
% 163.96/163.63 ( 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)))
% 163.96/163.63 => ( ! [B_x,B_y] :
% 163.96/163.63 ( hBOOL(hAPP(hAPP(V_P_2,B_y),B_x))
% 163.96/163.63 => hBOOL(hAPP(V_Q_2,hAPP(hAPP(V_f_2,B_x),B_y))) )
% 163.96/163.63 => 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))) ) ) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_Image__Collect__split,axiom,
% 163.96/163.63 ! [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)))) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_lexord__trans,axiom,
% 163.96/163.63 ! [V_z_2,V_r_2,V_y_2,V_x_2,T_b] :
% 163.96/163.63 ( 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)))
% 163.96/163.63 => ( 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)))
% 163.96/163.63 => ( c_Relation_Otrans(T_b,V_r_2)
% 163.96/163.63 => 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))) ) ) ) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_trans__less__than,axiom,
% 163.96/163.63 c_Relation_Otrans(tc_Nat_Onat,c_Wellfounded_Oless__than) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_trans__lex__prod,axiom,
% 163.96/163.63 ! [V_R2_2,T_c,V_R1_2,T_b] :
% 163.96/163.63 ( c_Relation_Otrans(T_b,V_R1_2)
% 163.96/163.63 => ( c_Relation_Otrans(T_c,V_R2_2)
% 163.96/163.63 => c_Relation_Otrans(tc_prod(T_b,T_c),c_Wellfounded_Olex__prod(T_b,T_c,V_R1_2,V_R2_2)) ) ) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_transD,axiom,
% 163.96/163.63 ! [V_c_2,V_b_2,V_a_2,V_r_2,T_b] :
% 163.96/163.63 ( c_Relation_Otrans(T_b,V_r_2)
% 163.96/163.63 => ( 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))
% 163.96/163.63 => ( 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))
% 163.96/163.63 => 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)) ) ) ) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_trans__def,axiom,
% 163.96/163.63 ! [V_r_2,T_b] :
% 163.96/163.63 ( c_Relation_Otrans(T_b,V_r_2)
% 163.96/163.63 <=> ! [B_x,B_y] :
% 163.96/163.63 ( 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))
% 163.96/163.63 => ! [B_z] :
% 163.96/163.63 ( 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))
% 163.96/163.63 => 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)) ) ) ) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_Union__eq,axiom,
% 163.96/163.63 ! [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)))) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_trans__inv__image,axiom,
% 163.96/163.63 ! [V_f_2,T_c,V_r_2,T_b] :
% 163.96/163.63 ( c_Relation_Otrans(T_b,V_r_2)
% 163.96/163.63 => c_Relation_Otrans(T_c,hAPP(hAPP(c_Relation_Oinv__image(T_b,T_c),V_r_2),V_f_2)) ) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_trans__reflclI,axiom,
% 163.96/163.63 ! [V_r_2,T_b] :
% 163.96/163.63 ( c_Relation_Otrans(T_b,V_r_2)
% 163.96/163.63 => 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))) ) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_trans__O__subset,axiom,
% 163.96/163.63 ! [V_r_2,T_b] :
% 163.96/163.63 ( c_Relation_Otrans(T_b,V_r_2)
% 163.96/163.63 => 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)) ) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_SUPR__bool__eq,axiom,
% 163.96/163.63 ! [T_b] : c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_HOL_Obool) = c_Set_OBex(T_b) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_trans__Int,axiom,
% 163.96/163.63 ! [V_s_2,V_r_2,T_b] :
% 163.96/163.63 ( c_Relation_Otrans(T_b,V_r_2)
% 163.96/163.63 => ( c_Relation_Otrans(T_b,V_s_2)
% 163.96/163.63 => 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)) ) ) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_bex__UNIV,axiom,
% 163.96/163.63 ! [V_P_2,T_b] :
% 163.96/163.63 ( ? [B_x] :
% 163.96/163.63 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))))
% 163.96/163.63 & hBOOL(hAPP(V_P_2,B_x)) )
% 163.96/163.63 <=> ? [B_x1] : hBOOL(hAPP(V_P_2,B_x1)) ) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_finite__Collect__bex,axiom,
% 163.96/163.63 ! [V_Q_2,T_c,V_A_2,T_b] :
% 163.96/163.63 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.96/163.63 => ( 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)))))
% 163.96/163.63 <=> ! [B_x] :
% 163.96/163.63 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 163.96/163.63 => 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)))) ) ) ) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_bex__empty,axiom,
% 163.96/163.63 ! [V_P_2,T_b] :
% 163.96/163.63 ~ ? [B_x] :
% 163.96/163.63 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))
% 163.96/163.63 & hBOOL(hAPP(V_P_2,B_x)) ) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_listrel__trans,axiom,
% 163.96/163.63 ! [V_r_2,T_b] :
% 163.96/163.63 ( c_Relation_Otrans(T_b,V_r_2)
% 163.96/163.63 => c_Relation_Otrans(tc_List_Olist(T_b),c_List_Olistrel(T_b,V_r_2)) ) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_trans__converse,axiom,
% 163.96/163.63 ! [V_r_2,T_b] :
% 163.96/163.63 ( c_Relation_Otrans(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2))
% 163.96/163.63 <=> c_Relation_Otrans(T_b,V_r_2) ) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_lexord__transI,axiom,
% 163.96/163.63 ! [V_r_2,T_b] :
% 163.96/163.63 ( c_Relation_Otrans(T_b,V_r_2)
% 163.96/163.63 => c_Relation_Otrans(tc_List_Olist(T_b),c_List_Olexord(T_b,V_r_2)) ) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_trans__Id__on,axiom,
% 163.96/163.63 ! [V_A_2,T_b] : c_Relation_Otrans(T_b,c_Relation_OId__on(T_b,V_A_2)) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_trans__Id,axiom,
% 163.96/163.63 ! [T_b] : c_Relation_Otrans(T_b,c_Relation_OId(T_b)) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_trans__trancl,axiom,
% 163.96/163.63 ! [V_r_2,T_b] : c_Relation_Otrans(T_b,c_Transitive__Closure_Otrancl(T_b,V_r_2)) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_trancl__id,axiom,
% 163.96/163.63 ! [V_r_2,T_b] :
% 163.96/163.63 ( c_Relation_Otrans(T_b,V_r_2)
% 163.96/163.63 => c_Transitive__Closure_Otrancl(T_b,V_r_2) = V_r_2 ) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_trans__finite__psubset,axiom,
% 163.96/163.63 ! [T_b] : c_Relation_Otrans(tc_fun(T_b,tc_HOL_Obool),c_Wellfounded_Ofinite__psubset(T_b)) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_trans__rtrancl,axiom,
% 163.96/163.63 ! [V_r_2,T_b] : c_Relation_Otrans(T_b,c_Transitive__Closure_Ortrancl(T_b,V_r_2)) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_Bex__set__list__ex,axiom,
% 163.96/163.63 ! [V_P_2,V_xs_2,T_b] :
% 163.96/163.63 ( ? [B_x] :
% 163.96/163.63 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 163.96/163.63 & hBOOL(hAPP(V_P_2,B_x)) )
% 163.96/163.63 <=> c_List_Olist__ex(T_b,V_P_2,V_xs_2) ) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_list__ex__iff__raw,axiom,
% 163.96/163.63 ! [V_xs_2,V_P_2,T_b] :
% 163.96/163.63 ( c_List_Olist__ex(T_b,V_P_2,V_xs_2)
% 163.96/163.63 <=> ? [B_x] :
% 163.96/163.63 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 163.96/163.63 & hBOOL(hAPP(V_P_2,B_x)) ) ) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_UN__eq,axiom,
% 163.96/163.63 ! [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))))) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_INT__eq,axiom,
% 163.96/163.63 ! [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))))) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_Sup__apply,axiom,
% 163.96/163.63 ! [V_x_2,V_A_2,T_c,T_b] :
% 163.96/163.63 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 163.96/163.63 => 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)))))) ) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_Sup__fun__def,axiom,
% 163.96/163.63 ! [V_x_2,V_A_2,T_c,T_b] :
% 163.96/163.63 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 163.96/163.63 => 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)))))) ) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_Inf__apply,axiom,
% 163.96/163.63 ! [V_x_2,V_A_2,T_c,T_b] :
% 163.96/163.63 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 163.96/163.63 => 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)))))) ) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_Inf__fun__def,axiom,
% 163.96/163.63 ! [V_x_2,V_A_2,T_c,T_b] :
% 163.96/163.63 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 163.96/163.63 => 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)))))) ) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_max__extp_Ointros,axiom,
% 163.96/163.63 ! [V_R_2,V_Y_2,V_X_2,T_b] :
% 163.96/163.63 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_X_2))
% 163.96/163.63 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_Y_2))
% 163.96/163.63 => ( V_Y_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.96/163.63 => ( ! [B_x] :
% 163.96/163.63 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_X_2))
% 163.96/163.63 => ? [B_xa] :
% 163.96/163.63 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_Y_2))
% 163.96/163.63 & hBOOL(hAPP(hAPP(V_R_2,B_x),B_xa)) ) )
% 163.96/163.63 => c_Wellfounded_Omax__extp(T_b,V_R_2,V_X_2,V_Y_2) ) ) ) ) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_transp__def,axiom,
% 163.96/163.63 ! [V_r_2,T_b] :
% 163.96/163.63 ( c_Predicate_Otransp(T_b,V_r_2)
% 163.96/163.63 <=> 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))) ) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_transpE,axiom,
% 163.96/163.63 ! [V_z_2,V_y_2,V_x_2,V_r_2,T_b] :
% 163.96/163.63 ( c_Predicate_Otransp(T_b,V_r_2)
% 163.96/163.63 => ( hBOOL(hAPP(hAPP(V_r_2,V_x_2),V_y_2))
% 163.96/163.63 => ( hBOOL(hAPP(hAPP(V_r_2,V_y_2),V_z_2))
% 163.96/163.63 => hBOOL(hAPP(hAPP(V_r_2,V_x_2),V_z_2)) ) ) ) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_equivpE,axiom,
% 163.96/163.63 ! [V_R_2,T_b] :
% 163.96/163.63 ( c_Equiv__Relations_Oequivp(T_b,V_R_2)
% 163.96/163.63 => ~ ( c_Predicate_Oreflp(T_b,V_R_2)
% 163.96/163.63 => ( c_Predicate_Osymp(T_b,V_R_2)
% 163.96/163.63 => ~ c_Predicate_Otransp(T_b,V_R_2) ) ) ) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_equivpI,axiom,
% 163.96/163.63 ! [V_R_2,T_b] :
% 163.96/163.63 ( c_Predicate_Oreflp(T_b,V_R_2)
% 163.96/163.63 => ( c_Predicate_Osymp(T_b,V_R_2)
% 163.96/163.63 => ( c_Predicate_Otransp(T_b,V_R_2)
% 163.96/163.63 => c_Equiv__Relations_Oequivp(T_b,V_R_2) ) ) ) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_sympE,axiom,
% 163.96/163.63 ! [V_y_2,V_x_2,V_r_2,T_b] :
% 163.96/163.63 ( c_Predicate_Osymp(T_b,V_r_2)
% 163.96/163.63 => ( hBOOL(hAPP(hAPP(V_r_2,V_x_2),V_y_2))
% 163.96/163.63 => hBOOL(hAPP(hAPP(V_r_2,V_y_2),V_x_2)) ) ) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_equivp__reflp__symp__transp,axiom,
% 163.96/163.63 ! [V_R_2,T_b] :
% 163.96/163.63 ( c_Equiv__Relations_Oequivp(T_b,V_R_2)
% 163.96/163.63 <=> ( c_Predicate_Oreflp(T_b,V_R_2)
% 163.96/163.63 & c_Predicate_Osymp(T_b,V_R_2)
% 163.96/163.63 & c_Predicate_Otransp(T_b,V_R_2) ) ) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_max__extp_Osimps,axiom,
% 163.96/163.63 ! [V_a2_2,V_a1_2,V_R_2,T_b] :
% 163.96/163.63 ( c_Wellfounded_Omax__extp(T_b,V_R_2,V_a1_2,V_a2_2)
% 163.96/163.63 <=> ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_a1_2))
% 163.96/163.63 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_a2_2))
% 163.96/163.63 & V_a2_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 163.96/163.63 & ! [B_x] :
% 163.96/163.63 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_a1_2))
% 163.96/163.63 => ? [B_xa] :
% 163.96/163.63 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_a2_2))
% 163.96/163.63 & hBOOL(hAPP(hAPP(V_R_2,B_x),B_xa)) ) ) ) ) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_trans__diff__Id,axiom,
% 163.96/163.63 ! [V_r_2,T_b] :
% 163.96/163.63 ( c_Relation_Otrans(T_b,V_r_2)
% 163.96/163.63 => ( c_Relation_Oantisym(T_b,V_r_2)
% 163.96/163.63 => 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))) ) ) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_antisym__Id__on,axiom,
% 163.96/163.63 ! [V_A_2,T_b] : c_Relation_Oantisym(T_b,c_Relation_OId__on(T_b,V_A_2)) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_antisym__subset,axiom,
% 163.96/163.63 ! [V_s_2,V_r_2,T_b] :
% 163.96/163.63 ( 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))
% 163.96/163.63 => ( c_Relation_Oantisym(T_b,V_s_2)
% 163.96/163.63 => c_Relation_Oantisym(T_b,V_r_2) ) ) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_antisym__Id,axiom,
% 163.96/163.63 ! [T_b] : c_Relation_Oantisym(T_b,c_Relation_OId(T_b)) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_antisym__empty,axiom,
% 163.96/163.63 ! [T_b] : c_Relation_Oantisym(T_b,c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool))) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_antisym__converse,axiom,
% 163.96/163.63 ! [V_r_2,T_b] :
% 163.96/163.63 ( c_Relation_Oantisym(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2))
% 163.96/163.63 <=> c_Relation_Oantisym(T_b,V_r_2) ) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_antisymD,axiom,
% 163.96/163.63 ! [V_b_2,V_a_2,V_r_2,T_b] :
% 163.96/163.63 ( c_Relation_Oantisym(T_b,V_r_2)
% 163.96/163.63 => ( 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))
% 163.96/163.63 => ( 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))
% 163.96/163.63 => V_a_2 = V_b_2 ) ) ) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_antisym__def,axiom,
% 163.96/163.63 ! [V_r_2,T_b] :
% 163.96/163.63 ( c_Relation_Oantisym(T_b,V_r_2)
% 163.96/163.63 <=> ! [B_x,B_y] :
% 163.96/163.63 ( 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))
% 163.96/163.63 => ( 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))
% 163.96/163.63 => B_x = B_y ) ) ) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_antisym__reflcl,axiom,
% 163.96/163.63 ! [V_r_2,T_b] :
% 163.96/163.63 ( 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)))
% 163.96/163.63 <=> c_Relation_Oantisym(T_b,V_r_2) ) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_acyclic__impl__antisym__rtrancl,axiom,
% 163.96/163.63 ! [V_r_2,T_b] :
% 163.96/163.63 ( c_Wellfounded_Oacyclic(T_b,V_r_2)
% 163.96/163.63 => c_Relation_Oantisym(T_b,c_Transitive__Closure_Ortrancl(T_b,V_r_2)) ) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_fun__lub__def,axiom,
% 163.96/163.63 ! [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)))))) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_sym__trans__comp__subset,axiom,
% 163.96/163.63 ! [V_r_2,T_b] :
% 163.96/163.63 ( c_Relation_Osym(T_b,V_r_2)
% 163.96/163.63 => ( c_Relation_Otrans(T_b,V_r_2)
% 163.96/163.63 => 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)) ) ) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_symD,axiom,
% 163.96/163.63 ! [V_b_2,V_a_2,V_r_2,T_b] :
% 163.96/163.63 ( c_Relation_Osym(T_b,V_r_2)
% 163.96/163.63 => ( 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))
% 163.96/163.63 => 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)) ) ) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_sym__def,axiom,
% 163.96/163.63 ! [V_r_2,T_b] :
% 163.96/163.63 ( c_Relation_Osym(T_b,V_r_2)
% 163.96/163.63 <=> ! [B_x,B_y] :
% 163.96/163.63 ( 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))
% 163.96/163.63 => 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)) ) ) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_sym__inv__image,axiom,
% 163.96/163.63 ! [V_f_2,T_c,V_r_2,T_b] :
% 163.96/163.63 ( c_Relation_Osym(T_b,V_r_2)
% 163.96/163.63 => c_Relation_Osym(T_c,hAPP(hAPP(c_Relation_Oinv__image(T_b,T_c),V_r_2),V_f_2)) ) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_sym__Int,axiom,
% 163.96/163.63 ! [V_s_2,V_r_2,T_b] :
% 163.96/163.63 ( c_Relation_Osym(T_b,V_r_2)
% 163.96/163.63 => ( c_Relation_Osym(T_b,V_s_2)
% 163.96/163.63 => 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)) ) ) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_listrel__sym,axiom,
% 163.96/163.63 ! [V_r_2,T_b] :
% 163.96/163.63 ( c_Relation_Osym(T_b,V_r_2)
% 163.96/163.63 => c_Relation_Osym(tc_List_Olist(T_b),c_List_Olistrel(T_b,V_r_2)) ) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_sym__conv__converse__eq,axiom,
% 163.96/163.63 ! [V_r_2,T_b] :
% 163.96/163.63 ( c_Relation_Osym(T_b,V_r_2)
% 163.96/163.63 <=> hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2) = V_r_2 ) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_sym__converse,axiom,
% 163.96/163.63 ! [V_r_2,T_b] :
% 163.96/163.63 ( c_Relation_Osym(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2))
% 163.96/163.63 <=> c_Relation_Osym(T_b,V_r_2) ) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_sym__Id__on,axiom,
% 163.96/163.63 ! [V_A_2,T_b] : c_Relation_Osym(T_b,c_Relation_OId__on(T_b,V_A_2)) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_sym__Un,axiom,
% 163.96/163.63 ! [V_s_2,V_r_2,T_b] :
% 163.96/163.63 ( c_Relation_Osym(T_b,V_r_2)
% 163.96/163.63 => ( c_Relation_Osym(T_b,V_s_2)
% 163.96/163.63 => 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)) ) ) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_sym__Id,axiom,
% 163.96/163.63 ! [T_b] : c_Relation_Osym(T_b,c_Relation_OId(T_b)) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_sym__trancl,axiom,
% 163.96/163.63 ! [V_r_2,T_b] :
% 163.96/163.63 ( c_Relation_Osym(T_b,V_r_2)
% 163.96/163.63 => c_Relation_Osym(T_b,c_Transitive__Closure_Otrancl(T_b,V_r_2)) ) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_sym__rtrancl,axiom,
% 163.96/163.63 ! [V_r_2,T_b] :
% 163.96/163.63 ( c_Relation_Osym(T_b,V_r_2)
% 163.96/163.63 => c_Relation_Osym(T_b,c_Transitive__Closure_Ortrancl(T_b,V_r_2)) ) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_sym__Un__converse,axiom,
% 163.96/163.63 ! [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))) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_sym__Int__converse,axiom,
% 163.96/163.63 ! [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))) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_equivE,axiom,
% 163.96/163.63 ! [V_r_2,V_A_2,T_b] :
% 163.96/163.63 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 163.96/163.63 => ~ ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2)
% 163.96/163.63 => ( c_Relation_Osym(T_b,V_r_2)
% 163.96/163.63 => ~ c_Relation_Otrans(T_b,V_r_2) ) ) ) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_equivI,axiom,
% 163.96/163.63 ! [V_r_2,V_A_2,T_b] :
% 163.96/163.63 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2)
% 163.96/163.63 => ( c_Relation_Osym(T_b,V_r_2)
% 163.96/163.63 => ( c_Relation_Otrans(T_b,V_r_2)
% 163.96/163.63 => c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) ) ) ) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_equiv__def,axiom,
% 163.96/163.63 ! [V_r_2,V_A_2,T_b] :
% 163.96/163.63 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 163.96/163.63 <=> ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2)
% 163.96/163.63 & c_Relation_Osym(T_b,V_r_2)
% 163.96/163.63 & c_Relation_Otrans(T_b,V_r_2) ) ) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_symp__def,axiom,
% 163.96/163.63 ! [V_r_2,T_b] :
% 163.96/163.63 ( c_Predicate_Osymp(T_b,V_r_2)
% 163.96/163.63 <=> 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))) ) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_part__equivpI,axiom,
% 163.96/163.63 ! [T_b,V_R_2] :
% 163.96/163.63 ( ? [B_x] : hBOOL(hAPP(hAPP(V_R_2,B_x),B_x))
% 163.96/163.63 => ( c_Predicate_Osymp(T_b,V_R_2)
% 163.96/163.63 => ( c_Predicate_Otransp(T_b,V_R_2)
% 163.96/163.63 => c_Equiv__Relations_Opart__equivp(T_b,V_R_2) ) ) ) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_part__equivp__refl__symp__transp,axiom,
% 163.96/163.63 ! [V_R_2,T_b] :
% 163.96/163.63 ( c_Equiv__Relations_Opart__equivp(T_b,V_R_2)
% 163.96/163.63 <=> ( ? [B_x] : hBOOL(hAPP(hAPP(V_R_2,B_x),B_x))
% 163.96/163.63 & c_Predicate_Osymp(T_b,V_R_2)
% 163.96/163.63 & c_Predicate_Otransp(T_b,V_R_2) ) ) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_equivp__implies__part__equivp,axiom,
% 163.96/163.63 ! [V_R_2,T_b] :
% 163.96/163.63 ( c_Equiv__Relations_Oequivp(T_b,V_R_2)
% 163.96/163.63 => c_Equiv__Relations_Opart__equivp(T_b,V_R_2) ) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_part__equivp__transp,axiom,
% 163.96/163.63 ! [V_z_2,V_y_2,V_x_2,V_R_2,T_b] :
% 163.96/163.63 ( c_Equiv__Relations_Opart__equivp(T_b,V_R_2)
% 163.96/163.63 => ( hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_y_2))
% 163.96/163.63 => ( hBOOL(hAPP(hAPP(V_R_2,V_y_2),V_z_2))
% 163.96/163.63 => hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_z_2)) ) ) ) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_part__equivp__symp,axiom,
% 163.96/163.63 ! [V_y_2,V_x_2,V_R_2,T_b] :
% 163.96/163.63 ( c_Equiv__Relations_Opart__equivp(T_b,V_R_2)
% 163.96/163.63 => ( hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_y_2))
% 163.96/163.63 => hBOOL(hAPP(hAPP(V_R_2,V_y_2),V_x_2)) ) ) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_part__equivp__def,axiom,
% 163.96/163.63 ! [V_R_2,T_b] :
% 163.96/163.63 ( c_Equiv__Relations_Opart__equivp(T_b,V_R_2)
% 163.96/163.63 <=> ( ? [B_x] : hBOOL(hAPP(hAPP(V_R_2,B_x),B_x))
% 163.96/163.63 & ! [B_x,B_y] :
% 163.96/163.63 ( hBOOL(hAPP(hAPP(V_R_2,B_x),B_y))
% 163.96/163.63 <=> ( hBOOL(hAPP(hAPP(V_R_2,B_x),B_x))
% 163.96/163.63 & hBOOL(hAPP(hAPP(V_R_2,B_y),B_y))
% 163.96/163.63 & hAPP(V_R_2,B_x) = hAPP(V_R_2,B_y) ) ) ) ) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_part__equivpE,axiom,
% 163.96/163.63 ! [V_R_2,T_b] :
% 163.96/163.63 ( c_Equiv__Relations_Opart__equivp(T_b,V_R_2)
% 163.96/163.63 => ~ ( ? [B_x] : hBOOL(hAPP(hAPP(V_R_2,B_x),B_x))
% 163.96/163.63 => ( c_Predicate_Osymp(T_b,V_R_2)
% 163.96/163.63 => ~ c_Predicate_Otransp(T_b,V_R_2) ) ) ) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_part__equivp__typedef,axiom,
% 163.96/163.63 ! [V_R_2,T_b] :
% 163.96/163.63 ( c_Equiv__Relations_Opart__equivp(T_b,V_R_2)
% 163.96/163.63 => ? [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))))) ) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_inj__iff,axiom,
% 163.96/163.63 ! [V_f_2,T_c,T_b] :
% 163.96/163.63 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 163.96/163.63 <=> 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) ) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_inv__o__cancel,axiom,
% 163.96/163.63 ! [V_f_2,T_c,T_b] :
% 163.96/163.63 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 163.96/163.63 => 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) ) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_inv__def,axiom,
% 163.96/163.63 ! [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)) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_image__inv__into__cancel,axiom,
% 163.96/163.63 ! [V_B_H_2,V_A_H_2,V_A_2,V_f_2,T_b,T_c] :
% 163.96/163.63 ( hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2) = V_A_H_2
% 163.96/163.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_H_2),V_A_H_2))
% 163.96/163.63 => 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 ) ) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_image__surj__f__inv__f,axiom,
% 163.96/163.63 ! [V_A_2,V_f_2,T_b,T_c] :
% 163.96/163.63 ( 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))
% 163.96/163.63 => 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 ) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_surj__f__inv__f,axiom,
% 163.96/163.63 ! [V_y_2,V_f_2,T_b,T_c] :
% 163.96/163.63 ( 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))
% 163.96/163.63 => 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 ) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_surj__iff__all,axiom,
% 163.96/163.63 ! [V_f_2,T_b,T_c] :
% 163.96/163.63 ( 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))
% 163.96/163.63 <=> ! [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 ) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_f__inv__into__f,axiom,
% 163.96/163.63 ! [V_A_2,V_f_2,T_c,V_y_2,T_b] :
% 163.96/163.63 ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2)))
% 163.96/163.63 => 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 ) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_inv__into__into,axiom,
% 163.96/163.63 ! [V_A_2,V_f_2,T_c,V_x_2,T_b] :
% 163.96/163.63 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2)))
% 163.96/163.63 => 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)) ) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_inv__into__injective,axiom,
% 163.96/163.63 ! [V_y_2,V_x_2,V_f_2,V_A_2,T_c,T_b] :
% 163.96/163.63 ( 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)
% 163.96/163.63 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)))
% 163.96/163.63 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_y_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)))
% 163.96/163.63 => V_x_2 = V_y_2 ) ) ) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_inv__into__f__eq,axiom,
% 163.96/163.63 ! [V_y_2,V_x_2,V_A_2,V_f_2,T_c,T_b] :
% 163.96/163.63 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 163.96/163.63 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 163.96/163.63 => ( hAPP(V_f_2,V_x_2) = V_y_2
% 163.96/163.63 => hAPP(c_Hilbert__Choice_Oinv__into(T_b,T_c,V_A_2,V_f_2),V_y_2) = V_x_2 ) ) ) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_inv__into__f__f,axiom,
% 163.96/163.63 ! [V_x_2,V_A_2,V_f_2,T_c,T_b] :
% 163.96/163.63 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 163.96/163.63 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 163.96/163.63 => 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 ) ) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_inv__f__eq,axiom,
% 163.96/163.63 ! [V_y_2,V_x_2,V_f_2,T_c,T_b] :
% 163.96/163.63 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 163.96/163.63 => ( hAPP(V_f_2,V_x_2) = V_y_2
% 163.96/163.63 => 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 ) ) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_inv__f__f,axiom,
% 163.96/163.63 ! [V_x_2,V_f_2,T_c,T_b] :
% 163.96/163.63 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 163.96/163.63 => 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 ) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_inv__id,axiom,
% 163.96/163.63 ! [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) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_inv__into__def,axiom,
% 163.96/163.63 ! [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))) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_o__inv__o__cancel,axiom,
% 163.96/163.63 ! [V_g_2,T_d,V_f_2,T_c,T_b] :
% 163.96/163.63 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 163.96/163.63 => 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 ) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_surj__imp__inj__inv,axiom,
% 163.96/163.63 ! [V_f_2,T_b,T_c] :
% 163.96/163.63 ( 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))
% 163.96/163.63 => 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))) ) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_inv__image__comp,axiom,
% 163.96/163.63 ! [V_X_2,V_f_2,T_c,T_b] :
% 163.96/163.63 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 163.96/163.63 => 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 ) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_image__inv__f__f,axiom,
% 163.96/163.63 ! [V_A_2,V_f_2,T_c,T_b] :
% 163.96/163.63 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 163.96/163.63 => 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 ) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_inj__imp__surj__inv,axiom,
% 163.96/163.63 ! [V_f_2,T_c,T_b] :
% 163.96/163.63 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 163.96/163.63 => 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)) ) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_inv__into__image__cancel,axiom,
% 163.96/163.63 ! [V_S_2,V_A_2,V_f_2,T_c,T_b] :
% 163.96/163.63 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 163.96/163.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_S_2),V_A_2))
% 163.96/163.63 => 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 ) ) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_inj__on__inv__into,axiom,
% 163.96/163.63 ! [V_A_2,V_f_2,T_c,V_B_2,T_b] :
% 163.96/163.63 ( 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)))
% 163.96/163.63 => 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) ) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_inv__into__comp,axiom,
% 163.96/163.63 ! [V_x_2,V_A_2,V_g_2,T_d,V_f_2,T_c,T_b] :
% 163.96/163.63 ( 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))
% 163.96/163.63 => ( c_Fun_Oinj__on(T_d,T_b,V_g_2,V_A_2)
% 163.96/163.63 => ( 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))))
% 163.96/163.63 => 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) ) ) ) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_surj__iff,axiom,
% 163.96/163.63 ! [V_f_2,T_b,T_c] :
% 163.96/163.63 ( 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))
% 163.96/163.63 <=> 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) ) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_inj__transfer,axiom,
% 163.96/163.63 ! [V_x_2,V_P_2,V_f_2,T_c,T_b] :
% 163.96/163.63 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 163.96/163.63 => ( ! [B_y] :
% 163.96/163.63 ( 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)))))
% 163.96/163.63 => 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))) )
% 163.96/163.63 => hBOOL(hAPP(V_P_2,V_x_2)) ) ) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_fold__image__UN__disjoint,axiom,
% 163.96/163.63 ! [V_g_2,V_A_2,T_c,V_I_2,T_b,T_d] :
% 163.96/163.63 ( class_Groups_Ocomm__monoid__mult(T_d)
% 163.96/163.63 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_I_2))
% 163.96/163.63 => ( ! [B_x] :
% 163.96/163.63 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_I_2))
% 163.96/163.63 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(V_A_2,B_x))) )
% 163.96/163.63 => ( ! [B_x] :
% 163.96/163.63 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_I_2))
% 163.96/163.63 => ! [B_xa] :
% 163.96/163.63 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_I_2))
% 163.96/163.63 => ( B_x != B_xa
% 163.96/163.63 => 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)) ) ) )
% 163.96/163.63 => 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) ) ) ) ) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_nat__of__cases,axiom,
% 163.96/163.63 ! [V_y_2] :
% 163.96/163.63 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),V_y_2),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))))
% 163.96/163.63 => ~ ! [B_x] : V_y_2 != hAPP(c_Code__Numeral_Onat__of,B_x) ) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_nat__of__induct,axiom,
% 163.96/163.63 ! [V_P_2,V_y_2] :
% 163.96/163.63 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),V_y_2),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))))
% 163.96/163.63 => ( ! [B_x] : hBOOL(hAPP(V_P_2,hAPP(c_Code__Numeral_Onat__of,B_x)))
% 163.96/163.63 => hBOOL(hAPP(V_P_2,V_y_2)) ) ) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_of__nat__cases,axiom,
% 163.96/163.63 ! [V_x_2] :
% 163.96/163.63 ~ ! [B_y] :
% 163.96/163.63 ( V_x_2 = hAPP(c_Code__Numeral_Oof__nat,B_y)
% 163.96/163.63 => ~ hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_y),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool)))) ) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_of__nat__induct,axiom,
% 163.96/163.63 ! [V_x_2,V_P_2] :
% 163.96/163.63 ( ! [B_y] :
% 163.96/163.63 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_y),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))))
% 163.96/163.63 => hBOOL(hAPP(V_P_2,hAPP(c_Code__Numeral_Oof__nat,B_y))) )
% 163.96/163.63 => hBOOL(hAPP(V_P_2,V_x_2)) ) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_lazy__sequence_Orecs_I1_J,axiom,
% 163.96/163.63 ! [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 ).
% 163.96/163.63
% 163.96/163.63 fof(fact_beyond__def,axiom,
% 163.96/163.63 ! [V_l,V_k] :
% 163.96/163.63 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),V_k),V_l))
% 163.96/163.63 => c_Quickcheck_Obeyond(V_k,V_l) = V_l )
% 163.96/163.63 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),V_k),V_l))
% 163.96/163.63 => c_Quickcheck_Obeyond(V_k,V_l) = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) ) ) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_beyond__zero,axiom,
% 163.96/163.63 ! [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) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_lazy__sequence_Orecs_I2_J,axiom,
% 163.96/163.63 ! [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)) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_bij__image__Collect__eq,axiom,
% 163.96/163.63 ! [V_P_2,V_f_2,T_c,T_b] :
% 163.96/163.63 ( 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)))
% 163.96/163.63 => 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))) ) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_curry__def,axiom,
% 163.96/163.63 ! [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)) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_curryI,axiom,
% 163.96/163.63 ! [V_b_2,V_a_2,T_c,T_b,V_f_2] :
% 163.96/163.63 ( hBOOL(hAPP(V_f_2,hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2)))
% 163.96/163.63 => hBOOL(hAPP(hAPP(c_Product__Type_Ocurry(T_b,T_c,tc_HOL_Obool,V_f_2),V_a_2),V_b_2)) ) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_bij__betw__id,axiom,
% 163.96/163.63 ! [V_A_2,T_b] : c_Fun_Obij__betw(T_b,T_b,c_Fun_Oid(T_b),V_A_2,V_A_2) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_inv__inv__eq,axiom,
% 163.96/163.63 ! [V_f_2,T_c,T_b] :
% 163.96/163.63 ( 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)))
% 163.96/163.63 => 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 ) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_bij__imp__bij__inv,axiom,
% 163.96/163.63 ! [V_f_2,T_c,T_b] :
% 163.96/163.63 ( 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)))
% 163.96/163.63 => 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))) ) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_inv__into__inv__into__eq,axiom,
% 163.96/163.63 ! [V_a_2,V_A_H_2,V_A_2,V_f_2,T_c,T_b] :
% 163.96/163.63 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,V_A_H_2)
% 163.96/163.63 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 163.96/163.63 => 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) ) ) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_bij__betw__inv__into,axiom,
% 163.96/163.63 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 163.96/163.63 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,V_B_2)
% 163.96/163.63 => 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) ) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_o__inv__distrib,axiom,
% 163.96/163.63 ! [V_g_2,T_d,V_f_2,T_c,T_b] :
% 163.96/163.63 ( 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)))
% 163.96/163.63 => ( 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)))
% 163.96/163.63 => 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)) ) ) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_bij__betw__comp__iff2,axiom,
% 163.96/163.63 ! [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] :
% 163.96/163.63 ( c_Fun_Obij__betw(T_b,T_c,V_f_H_2,V_A_H_2,V_A_H_H_2)
% 163.96/163.63 => ( 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))
% 163.96/163.63 => ( c_Fun_Obij__betw(T_d,T_b,V_f_2,V_A_2,V_A_H_2)
% 163.96/163.63 <=> 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) ) ) ) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_bij__comp,axiom,
% 163.96/163.63 ! [V_g_2,T_d,V_f_2,T_c,T_b] :
% 163.96/163.63 ( 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)))
% 163.96/163.63 => ( 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)))
% 163.96/163.63 => 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))) ) ) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_bij__betw__trans,axiom,
% 163.96/163.63 ! [V_C_2,V_g_2,T_d,V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 163.96/163.63 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,V_B_2)
% 163.96/163.63 => ( c_Fun_Obij__betw(T_c,T_d,V_g_2,V_B_2,V_C_2)
% 163.96/163.63 => 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) ) ) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_bij__betw__comp__iff,axiom,
% 163.96/163.63 ! [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] :
% 163.96/163.63 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,V_A_H_2)
% 163.96/163.63 => ( c_Fun_Obij__betw(T_c,T_d,V_f_H_2,V_A_H_2,V_A_H_H_2)
% 163.96/163.63 <=> 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) ) ) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_curryD,axiom,
% 163.96/163.63 ! [V_b_2,V_a_2,V_f_2,T_c,T_b] :
% 163.96/163.63 ( hBOOL(hAPP(hAPP(c_Product__Type_Ocurry(T_b,T_c,tc_HOL_Obool,V_f_2),V_a_2),V_b_2))
% 163.96/163.63 => hBOOL(hAPP(V_f_2,hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2))) ) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_curryE,axiom,
% 163.96/163.63 ! [V_b_2,V_a_2,V_f_2,T_c,T_b] :
% 163.96/163.63 ( hBOOL(hAPP(hAPP(c_Product__Type_Ocurry(T_b,T_c,tc_HOL_Obool,V_f_2),V_a_2),V_b_2))
% 163.96/163.63 => hBOOL(hAPP(V_f_2,hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2))) ) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_curry__conv,axiom,
% 163.96/163.63 ! [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)) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_finite__vimage__iff,axiom,
% 163.96/163.63 ! [V_F_2,V_h_2,T_c,T_b] :
% 163.96/163.63 ( 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)))
% 163.96/163.63 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_Ovimage(T_b,T_c,V_h_2),V_F_2)))
% 163.96/163.63 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_F_2)) ) ) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_bijI,axiom,
% 163.96/163.63 ! [V_f_2,T_c,T_b] :
% 163.96/163.63 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 163.96/163.63 => ( 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))
% 163.96/163.63 => 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))) ) ) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_bij__def,axiom,
% 163.96/163.63 ! [V_f_2,T_c,T_b] :
% 163.96/163.63 ( 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)))
% 163.96/163.63 <=> ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 163.96/163.63 & 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)) ) ) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_bij__id,axiom,
% 163.96/163.63 ! [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))) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_bij__betw__id__iff,axiom,
% 163.96/163.63 ! [V_B_2,V_A_2,T_b] :
% 163.96/163.63 ( c_Fun_Obij__betw(T_b,T_b,c_Fun_Oid(T_b),V_A_2,V_B_2)
% 163.96/163.63 <=> V_A_2 = V_B_2 ) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_bij__betw__finite,axiom,
% 163.96/163.63 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 163.96/163.63 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,V_B_2)
% 163.96/163.63 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.96/163.63 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) ) ) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_BIJ,axiom,
% 163.96/163.63 ! [V_B_2,T_c,V_A_2,T_b] :
% 163.96/163.63 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.96/163.63 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2))
% 163.96/163.63 => ( ? [B_f] : c_Fun_Obij__betw(T_b,T_c,B_f,V_A_2,V_B_2)
% 163.96/163.63 <=> hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = hAPP(c_Finite__Set_Ocard(T_c),V_B_2) ) ) ) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_bij__betw__empty2,axiom,
% 163.96/163.63 ! [V_A_2,V_f_2,T_c,T_b] :
% 163.96/163.63 ( 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)))
% 163.96/163.63 => V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_bij__betw__empty1,axiom,
% 163.96/163.63 ! [V_A_2,V_f_2,T_c,T_b] :
% 163.96/163.63 ( 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)
% 163.96/163.63 => V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_bij__betw__same__card,axiom,
% 163.96/163.63 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 163.96/163.63 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,V_B_2)
% 163.96/163.63 => hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = hAPP(c_Finite__Set_Ocard(T_c),V_B_2) ) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_bij__betw__the__inv__into,axiom,
% 163.96/163.63 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 163.96/163.63 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,V_B_2)
% 163.96/163.63 => 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) ) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_bij__is__inj,axiom,
% 163.96/163.63 ! [V_f_2,T_c,T_b] :
% 163.96/163.63 ( 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)))
% 163.96/163.63 => c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) ) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_bij__betw__imp__inj__on,axiom,
% 163.96/163.63 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 163.96/163.63 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,V_B_2)
% 163.96/163.63 => c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) ) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_inj__on__imp__bij__betw,axiom,
% 163.96/163.63 ! [V_A_2,V_f_2,T_c,T_b] :
% 163.96/163.63 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 163.96/163.63 => 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)) ) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_bij__betw__def,axiom,
% 163.96/163.63 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 163.96/163.63 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,V_B_2)
% 163.96/163.63 <=> ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 163.96/163.63 & hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2) = V_B_2 ) ) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_bij__betw__imp__surj,axiom,
% 163.96/163.63 ! [V_A_2,V_f_2,T_c,T_b] :
% 163.96/163.63 ( 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)))
% 163.96/163.63 => 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)) ) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_bij__is__surj,axiom,
% 163.96/163.63 ! [V_f_2,T_c,T_b] :
% 163.96/163.63 ( 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)))
% 163.96/163.63 => 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)) ) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_bij__betw__subset,axiom,
% 163.96/163.63 ! [V_B_H_2,V_B_2,V_A_H_2,V_A_2,V_f_2,T_c,T_b] :
% 163.96/163.63 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,V_A_H_2)
% 163.96/163.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 163.96/163.63 => ( hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_B_2) = V_B_H_2
% 163.96/163.63 => c_Fun_Obij__betw(T_b,T_c,V_f_2,V_B_2,V_B_H_2) ) ) ) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_bij__betw__Disj__Un,axiom,
% 163.96/163.63 ! [V_f_2,V_B_H_2,V_A_H_2,T_c,V_B_2,V_A_2,T_b] :
% 163.96/163.63 ( 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))
% 163.96/163.63 => ( 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))
% 163.96/163.63 => ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,V_A_H_2)
% 163.96/163.63 => ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_B_2,V_B_H_2)
% 163.96/163.63 => 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)) ) ) ) ) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_bij__betw__combine,axiom,
% 163.96/163.63 ! [V_D_2,V_C_2,V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 163.96/163.63 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,V_B_2)
% 163.96/163.63 => ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_C_2,V_D_2)
% 163.96/163.63 => ( 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))
% 163.96/163.63 => 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)) ) ) ) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_bij__image__Compl__eq,axiom,
% 163.96/163.63 ! [V_A_2,V_f_2,T_c,T_b] :
% 163.96/163.63 ( 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)))
% 163.96/163.63 => 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)) ) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_curry__split,axiom,
% 163.96/163.63 ! [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 ).
% 163.96/163.63
% 163.96/163.63 fof(fact_split__curry,axiom,
% 163.96/163.63 ! [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 ).
% 163.96/163.63
% 163.96/163.63 fof(fact_bij__image__INT,axiom,
% 163.96/163.63 ! [V_B_2,V_A_2,T_d,V_f_2,T_c,T_b] :
% 163.96/163.63 ( 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)))
% 163.96/163.63 => 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)) ) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_vimage__subset__eq,axiom,
% 163.96/163.63 ! [V_A_2,V_B_2,V_f_2,T_c,T_b] :
% 163.96/163.63 ( 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)))
% 163.96/163.63 => ( 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))
% 163.96/163.63 <=> 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))) ) ) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_bij__vimage__eq__inv__image,axiom,
% 163.96/163.63 ! [V_A_2,V_f_2,T_c,T_b] :
% 163.96/163.63 ( 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)))
% 163.96/163.63 => 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) ) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_ex__bij__betw__nat__finite__1,axiom,
% 163.96/163.63 ! [V_M_2,T_b] :
% 163.96/163.63 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_M_2))
% 163.96/163.63 => ? [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) ) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_Cantor__Bernstein,axiom,
% 163.96/163.63 ! [V_g_2,V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 163.96/163.63 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 163.96/163.63 => ( 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))
% 163.96/163.63 => ( c_Fun_Oinj__on(T_c,T_b,V_g_2,V_B_2)
% 163.96/163.63 => ( 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))
% 163.96/163.63 => ? [B_h] : c_Fun_Obij__betw(T_b,T_c,B_h,V_A_2,V_B_2) ) ) ) ) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_ex__bij__betw__nat__finite,axiom,
% 163.96/163.63 ! [V_M_2,T_b] :
% 163.96/163.63 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_M_2))
% 163.96/163.63 => ? [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) ) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_ex__bij__betw__finite__nat,axiom,
% 163.96/163.63 ! [V_M_2,T_b] :
% 163.96/163.63 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_M_2))
% 163.96/163.63 => ? [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))) ) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_refl__on__UNION,axiom,
% 163.96/163.63 ! [V_r_2,V_A_2,T_c,V_S_2,T_b] :
% 163.96/163.63 ( ! [B_x] :
% 163.96/163.63 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_S_2))
% 163.96/163.63 => c_Relation_Orefl__on(T_c,hAPP(V_A_2,B_x),hAPP(V_r_2,B_x)) )
% 163.96/163.63 => 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)) ) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_bex__reg__eqv,axiom,
% 163.96/163.63 ! [V_P_2,V_R_2,T_b] :
% 163.96/163.63 ( c_Equiv__Relations_Oequivp(T_b,V_R_2)
% 163.96/163.63 => ( ? [B_x] :
% 163.96/163.63 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),c_Quotient_ORespects(T_b,V_R_2)))
% 163.96/163.63 & hBOOL(hAPP(V_P_2,B_x)) )
% 163.96/163.63 <=> ? [B_x1] : hBOOL(hAPP(V_P_2,B_x1)) ) ) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_Respects__def,axiom,
% 163.96/163.63 ! [V_x_2,V_R_2,T_b] :
% 163.96/163.63 ( hBOOL(hAPP(c_Quotient_ORespects(T_b,V_R_2),V_x_2))
% 163.96/163.63 <=> hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_x_2)) ) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_in__respects,axiom,
% 163.96/163.63 ! [V_R_2,V_x_2,T_b] :
% 163.96/163.63 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),c_Quotient_ORespects(T_b,V_R_2)))
% 163.96/163.63 <=> hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_x_2)) ) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_bex__reg__right,axiom,
% 163.96/163.63 ! [V_P_2,V_Q_2,V_R_2,T_b] :
% 163.96/163.63 ( c_Equiv__Relations_Oequivp(T_b,V_R_2)
% 163.96/163.63 => ( ! [B_x] :
% 163.96/163.63 ( hBOOL(hAPP(V_Q_2,B_x))
% 163.96/163.63 => hBOOL(hAPP(V_P_2,B_x)) )
% 163.96/163.63 => ( ? [B_x1] : hBOOL(hAPP(V_Q_2,B_x1))
% 163.96/163.63 => ? [B_x] :
% 163.96/163.63 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),c_Quotient_ORespects(T_b,V_R_2)))
% 163.96/163.63 & hBOOL(hAPP(V_P_2,B_x)) ) ) ) ) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_babs__reg__eqv,axiom,
% 163.96/163.63 ! [V_P_2,T_c,V_R_2,T_b] :
% 163.96/163.63 ( c_Equiv__Relations_Oequivp(T_b,V_R_2)
% 163.96/163.63 => c_Quotient_OBabs(T_b,T_c,c_Quotient_ORespects(T_b,V_R_2),V_P_2) = V_P_2 ) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_Babs__def,axiom,
% 163.96/163.63 ! [V_m_2,T_c,V_p_2,V_x_2,T_b] :
% 163.96/163.63 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_p_2))
% 163.96/163.63 => hAPP(c_Quotient_OBabs(T_b,T_c,V_p_2,V_m_2),V_x_2) = hAPP(V_m_2,V_x_2) ) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_wf__weak__decr__stable,axiom,
% 163.96/163.63 ! [V_r_2,V_f_2,T_b] :
% 163.96/163.63 ( ! [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)))
% 163.96/163.63 => ( c_Wellfounded_Owf(T_b,c_Transitive__Closure_Otrancl(T_b,V_r_2))
% 163.96/163.63 => ? [B_i] :
% 163.96/163.63 ! [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) ) ) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_rtrancl__induct2,axiom,
% 163.96/163.63 ! [V_P_2,V_r_2,V_by_2,V_bx_2,V_ay_2,V_ax_2,T_c,T_b] :
% 163.96/163.63 ( 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)))
% 163.96/163.63 => ( hBOOL(hAPP(hAPP(V_P_2,V_ax_2),V_ay_2))
% 163.96/163.63 => ( ! [B_a,B_b] :
% 163.96/163.63 ( 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)))
% 163.96/163.63 => ! [B_aa,B_ba] :
% 163.96/163.63 ( 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))
% 163.96/163.63 => ( hBOOL(hAPP(hAPP(V_P_2,B_a),B_b))
% 163.96/163.63 => hBOOL(hAPP(hAPP(V_P_2,B_aa),B_ba)) ) ) )
% 163.96/163.63 => hBOOL(hAPP(hAPP(V_P_2,V_bx_2),V_by_2)) ) ) ) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_converse__rtranclE2,axiom,
% 163.96/163.63 ! [V_r_2,V_zb_2,V_za_2,V_xb_2,V_xa_2,T_c,T_b] :
% 163.96/163.63 ( 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)))
% 163.96/163.63 => ( 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)
% 163.96/163.63 => ~ ! [B_a,B_b] :
% 163.96/163.63 ( 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))
% 163.96/163.63 => ~ 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))) ) ) ) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_converse__rtrancl__induct2,axiom,
% 163.96/163.63 ! [V_P_2,V_r_2,V_by_2,V_bx_2,V_ay_2,V_ax_2,T_c,T_b] :
% 163.96/163.63 ( 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)))
% 163.96/163.63 => ( hBOOL(hAPP(hAPP(V_P_2,V_bx_2),V_by_2))
% 163.96/163.63 => ( ! [B_a,B_b,B_aa,B_ba] :
% 163.96/163.63 ( 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))
% 163.96/163.63 => ( 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)))
% 163.96/163.63 => ( hBOOL(hAPP(hAPP(V_P_2,B_aa),B_ba))
% 163.96/163.63 => hBOOL(hAPP(hAPP(V_P_2,B_a),B_b)) ) ) )
% 163.96/163.63 => hBOOL(hAPP(hAPP(V_P_2,V_ax_2),V_ay_2)) ) ) ) ).
% 163.96/163.63
% 163.96/163.63 fof(fact__03,axiom,
% 163.96/163.63 ! [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)) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_list__all__iff__all__interval__nat,axiom,
% 163.96/163.63 ! [V_j_2,V_i_2,V_P_2] :
% 163.96/163.63 ( c_List_Olist__all(tc_Nat_Onat,V_P_2,c_List_Oupt(V_i_2,V_j_2))
% 163.96/163.63 <=> c_List_Oall__interval__nat(V_P_2,V_i_2,V_j_2) ) ).
% 163.96/163.63
% 163.96/163.63 fof(fact__04,axiom,
% 163.96/163.63 ! [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) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_all__interval__nat__def,axiom,
% 163.96/163.63 ! [V_j_2,V_i_2,V_P_2] :
% 163.96/163.63 ( c_List_Oall__interval__nat(V_P_2,V_i_2,V_j_2)
% 163.96/163.63 <=> ! [B_x] :
% 163.96/163.63 ( 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)))
% 163.96/163.63 => hBOOL(hAPP(V_P_2,B_x)) ) ) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_list__ex__iff__not__all__inverval__nat,axiom,
% 163.96/163.63 ! [V_j_2,V_i_2,V_P_2] :
% 163.96/163.63 ( c_List_Olist__ex(tc_Nat_Onat,V_P_2,c_List_Oupt(V_i_2,V_j_2))
% 163.96/163.63 <=> ~ 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) ) ).
% 163.96/163.63
% 163.96/163.63 fof(fact__05,axiom,
% 163.96/163.63 ! [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)) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_folding__image_Ocong,axiom,
% 163.96/163.63 ! [V_h_2,V_g_2,V_A_2,V_F_2,V_z_2,V_f_2,T_c,T_b] :
% 163.96/163.63 ( c_Finite__Set_Ofolding__image(T_b,T_c,V_f_2,V_z_2,V_F_2)
% 163.96/163.63 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 163.96/163.63 => ( ! [B_x] :
% 163.96/163.63 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 163.96/163.63 => hAPP(V_g_2,B_x) = hAPP(V_h_2,B_x) )
% 163.96/163.63 => hAPP(hAPP(V_F_2,V_g_2),V_A_2) = hAPP(hAPP(V_F_2,V_h_2),V_A_2) ) ) ) ).
% 163.96/163.63
% 163.96/163.63 fof(fact__06,axiom,
% 163.96/163.63 ! [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)) ).
% 163.96/163.63
% 163.96/163.63 fof(fact__07,axiom,
% 163.96/163.63 ! [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) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_New__DSequence_Opos__map__def,axiom,
% 163.96/163.63 ! [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)) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_power__dvd__imp__le,axiom,
% 163.96/163.63 ! [V_n,V_m,V_i] :
% 163.96/163.63 ( 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)))
% 163.96/163.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),V_i))
% 163.96/163.63 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) ) ) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_dvd_Oorder__refl,axiom,
% 163.96/163.63 ! [V_x] : hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_x)) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_dvd__0__right,axiom,
% 163.96/163.63 ! [V_a,T_a] :
% 163.96/163.63 ( class_Rings_Ocomm__semiring__1(T_a)
% 163.96/163.63 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))) ) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_dvd__1__left,axiom,
% 163.96/163.63 ! [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)) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_dvd__mult__cancel,axiom,
% 163.96/163.63 ! [V_n,V_m,V_k] :
% 163.96/163.63 ( 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)))
% 163.96/163.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k))
% 163.96/163.63 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_m),V_n)) ) ) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_nat__mult__dvd__cancel1,axiom,
% 163.96/163.63 ! [V_n_2,V_m_2,V_k_2] :
% 163.96/163.63 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2))
% 163.96/163.63 => ( 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)))
% 163.96/163.63 <=> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_m_2),V_n_2)) ) ) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_dvd__setprod,axiom,
% 163.96/163.63 ! [V_f_2,V_i_2,V_A_2,T_b,T_c] :
% 163.96/163.63 ( class_Rings_Ocomm__semiring__1(T_c)
% 163.96/163.63 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 163.96/163.63 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),V_A_2))
% 163.96/163.63 => 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))) ) ) ) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_le__imp__power__dvd,axiom,
% 163.96/163.63 ! [V_a,V_n,V_m,T_a] :
% 163.96/163.63 ( class_Rings_Ocomm__semiring__1(T_a)
% 163.96/163.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 163.96/163.63 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(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))) ) ) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_dvd__power__le,axiom,
% 163.96/163.63 ! [V_m,V_n,V_y,V_x,T_a] :
% 163.96/163.63 ( class_Rings_Ocomm__semiring__1(T_a)
% 163.96/163.63 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_x),V_y))
% 163.96/163.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m))
% 163.96/163.63 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(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_y),V_m))) ) ) ) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_power__le__dvd,axiom,
% 163.96/163.63 ! [V_m,V_b,V_n,V_a,T_a] :
% 163.96/163.63 ( class_Rings_Ocomm__semiring__1(T_a)
% 163.96/163.63 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)),V_b))
% 163.96/163.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 163.96/163.63 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_m)),V_b)) ) ) ) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_dvd_OatLeastatMost__subset__iff,axiom,
% 163.96/163.63 ! [V_d_2,V_c_2,V_b_2,V_a_2] :
% 163.96/163.63 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(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)),c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat,c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_c_2,V_d_2)))
% 163.96/163.63 <=> ( ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a_2),V_b_2))
% 163.96/163.63 | ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_c_2),V_a_2))
% 163.96/163.63 & hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_b_2),V_d_2)) ) ) ) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_dvd__diffD1,axiom,
% 163.96/163.63 ! [V_n,V_m,V_k] :
% 163.96/163.63 ( 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)))
% 163.96/163.63 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k),V_m))
% 163.96/163.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m))
% 163.96/163.63 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k),V_n)) ) ) ) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_dvd__diffD,axiom,
% 163.96/163.63 ! [V_n,V_m,V_k] :
% 163.96/163.63 ( 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)))
% 163.96/163.63 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k),V_n))
% 163.96/163.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m))
% 163.96/163.63 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k),V_m)) ) ) ) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_dvd_OatMost__iff,axiom,
% 163.96/163.63 ! [V_k_2,V_i_2] :
% 163.96/163.63 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),V_i_2),c_SetInterval_Oord_OatMost(tc_Nat_Onat,c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k_2)))
% 163.96/163.63 <=> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_i_2),V_k_2)) ) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_dvd_OatLeast__iff,axiom,
% 163.96/163.63 ! [V_k_2,V_i_2] :
% 163.96/163.63 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),V_i_2),c_SetInterval_Oord_OatLeast(tc_Nat_Onat,c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k_2)))
% 163.96/163.63 <=> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k_2),V_i_2)) ) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_dvd_OgreaterThan__iff,axiom,
% 163.96/163.63 ! [V_k_2,V_i_2] :
% 163.96/163.63 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),V_i_2),c_SetInterval_Oord_OgreaterThan(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)))
% 163.96/163.63 <=> ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k_2),V_i_2))
% 163.96/163.63 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_i_2),V_k_2)) ) ) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_dvd_OlessThan__iff,axiom,
% 163.96/163.63 ! [V_k_2,V_i_2] :
% 163.96/163.63 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),V_i_2),c_SetInterval_Oord_OlessThan(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)))
% 163.96/163.63 <=> ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_i_2),V_k_2))
% 163.96/163.63 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k_2),V_i_2)) ) ) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_nat__dvd__not__less,axiom,
% 163.96/163.63 ! [V_n,V_m] :
% 163.96/163.63 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m))
% 163.96/163.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 163.96/163.63 => ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_n),V_m)) ) ) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_dvd_OatLeastatMost__psubset__iff,axiom,
% 163.96/163.63 ! [V_d_2,V_c_2,V_b_2,V_a_2] :
% 163.96/163.63 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(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)),c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat,c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_c_2,V_d_2)))
% 163.96/163.63 <=> ( ( ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a_2),V_b_2))
% 163.96/163.63 | ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_c_2),V_a_2))
% 163.96/163.63 & hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_b_2),V_d_2))
% 163.96/163.63 & ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_c_2),V_a_2))
% 163.96/163.63 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a_2),V_c_2)) )
% 163.96/163.63 | ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_b_2),V_d_2))
% 163.96/163.63 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_d_2),V_b_2)) ) ) ) )
% 163.96/163.63 & hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_c_2),V_d_2)) ) ) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_div__add,axiom,
% 163.96/163.63 ! [V_y,V_x,V_z,T_a] :
% 163.96/163.63 ( class_Divides_Osemiring__div(T_a)
% 163.96/163.63 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_z),V_x))
% 163.96/163.63 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_z),V_y))
% 163.96/163.63 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_x),V_y)),V_z) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_x),V_z)),hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_y),V_z)) ) ) ) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_dvd__add,axiom,
% 163.96/163.63 ! [V_c,V_b,V_a,T_a] :
% 163.96/163.63 ( class_Rings_Ocomm__semiring__1(T_a)
% 163.96/163.63 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),V_b))
% 163.96/163.63 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),V_c))
% 163.96/163.63 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_b),V_c))) ) ) ) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_dvd__reduce,axiom,
% 163.96/163.63 ! [V_n_2,V_k_2] :
% 163.96/163.63 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n_2),V_k_2)))
% 163.96/163.63 <=> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k_2),V_n_2)) ) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_dvd__neg__div,axiom,
% 163.96/163.63 ! [V_x,V_y,T_a] :
% 163.96/163.63 ( class_Divides_Oring__div(T_a)
% 163.96/163.63 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_y),V_x))
% 163.96/163.63 => 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)) ) ) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_dvd__div__neg,axiom,
% 163.96/163.63 ! [V_x,V_y,T_a] :
% 163.96/163.63 ( class_Divides_Oring__div(T_a)
% 163.96/163.63 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_y),V_x))
% 163.96/163.63 => 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)) ) ) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_dvd__mod__imp__dvd,axiom,
% 163.96/163.63 ! [V_n,V_m,V_k,T_a] :
% 163.96/163.63 ( class_Divides_Osemiring__div(T_a)
% 163.96/163.63 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_k),c_Divides_Odiv__class_Omod(T_a,V_m,V_n)))
% 163.96/163.63 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_k),V_n))
% 163.96/163.63 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_k),V_m)) ) ) ) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_dvd__mod,axiom,
% 163.96/163.63 ! [V_n,V_m,V_k,T_a] :
% 163.96/163.63 ( class_Divides_Osemiring__div(T_a)
% 163.96/163.63 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_k),V_m))
% 163.96/163.63 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_k),V_n))
% 163.96/163.63 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_k),c_Divides_Odiv__class_Omod(T_a,V_m,V_n))) ) ) ) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_mod__mod__cancel,axiom,
% 163.96/163.63 ! [V_a,V_b,V_c,T_a] :
% 163.96/163.63 ( class_Divides_Osemiring__div(T_a)
% 163.96/163.63 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_c),V_b))
% 163.96/163.63 => c_Divides_Odiv__class_Omod(T_a,c_Divides_Odiv__class_Omod(T_a,V_a,V_b),V_c) = c_Divides_Odiv__class_Omod(T_a,V_a,V_c) ) ) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_dvd__mod__iff,axiom,
% 163.96/163.63 ! [V_m_2,V_n_2,V_k_2,T_b] :
% 163.96/163.63 ( class_Divides_Osemiring__div(T_b)
% 163.96/163.63 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_k_2),V_n_2))
% 163.96/163.63 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_k_2),c_Divides_Odiv__class_Omod(T_b,V_m_2,V_n_2)))
% 163.96/163.63 <=> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_k_2),V_m_2)) ) ) ) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_dvd__0__left,axiom,
% 163.96/163.63 ! [V_a,T_a] :
% 163.96/163.63 ( class_Rings_Ocomm__semiring__1(T_a)
% 163.96/163.63 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 163.96/163.63 => V_a = c_Groups_Ozero__class_Ozero(T_a) ) ) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_div__dvd__div,axiom,
% 163.96/163.63 ! [V_c_2,V_b_2,V_a_2,T_b] :
% 163.96/163.63 ( class_Divides_Osemiring__div(T_b)
% 163.96/163.63 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_a_2),V_b_2))
% 163.96/163.63 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_a_2),V_c_2))
% 163.96/163.63 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),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_c_2),V_a_2)))
% 163.96/163.63 <=> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_b_2),V_c_2)) ) ) ) ) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_minus__dvd__iff,axiom,
% 163.96/163.63 ! [V_y_2,V_x_2,T_b] :
% 163.96/163.63 ( class_Rings_Ocomm__ring__1(T_b)
% 163.96/163.63 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_x_2)),V_y_2))
% 163.96/163.63 <=> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_x_2),V_y_2)) ) ) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_dvd__minus__iff,axiom,
% 163.96/163.63 ! [V_y_2,V_x_2,T_b] :
% 163.96/163.63 ( class_Rings_Ocomm__ring__1(T_b)
% 163.96/163.63 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_x_2),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_y_2)))
% 163.96/163.63 <=> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_x_2),V_y_2)) ) ) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_dvd_Oless__asym,axiom,
% 163.96/163.63 ! [V_y,V_x] :
% 163.96/163.63 ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y))
% 163.96/163.63 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_x)) )
% 163.96/163.63 => ~ ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_x))
% 163.96/163.63 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y)) ) ) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_dvd_Oless__trans,axiom,
% 163.96/163.63 ! [V_z,V_y,V_x] :
% 163.96/163.63 ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y))
% 163.96/163.63 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_x)) )
% 163.96/163.63 => ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_z))
% 163.96/163.63 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_z),V_y)) )
% 163.96/163.63 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_z))
% 163.96/163.63 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_z),V_x)) ) ) ) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_dvd_Oless__asym_H,axiom,
% 163.96/163.63 ! [V_b,V_a] :
% 163.96/163.63 ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a),V_b))
% 163.96/163.63 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_b),V_a)) )
% 163.96/163.63 => ~ ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_b),V_a))
% 163.96/163.63 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a),V_b)) ) ) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_dvd_Oless__le__trans,axiom,
% 163.96/163.63 ! [V_z,V_y,V_x] :
% 163.96/163.63 ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y))
% 163.96/163.63 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_x)) )
% 163.96/163.63 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_z))
% 163.96/163.63 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_z))
% 163.96/163.63 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_z),V_x)) ) ) ) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_dvd_Oord__less__eq__trans,axiom,
% 163.96/163.63 ! [V_c,V_b,V_a] :
% 163.96/163.63 ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a),V_b))
% 163.96/163.63 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_b),V_a)) )
% 163.96/163.63 => ( V_b = V_c
% 163.96/163.63 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a),V_c))
% 163.96/163.63 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_c),V_a)) ) ) ) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_dvd_Oless__imp__not__eq2,axiom,
% 163.96/163.63 ! [V_y,V_x] :
% 163.96/163.63 ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y))
% 163.96/163.63 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_x)) )
% 163.96/163.63 => V_y != V_x ) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_dvd_Oless__imp__not__eq,axiom,
% 163.96/163.63 ! [V_y,V_x] :
% 163.96/163.63 ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y))
% 163.96/163.63 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_x)) )
% 163.96/163.63 => V_x != V_y ) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_dvd_Oless__imp__not__less,axiom,
% 163.96/163.63 ! [V_y,V_x] :
% 163.96/163.63 ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y))
% 163.96/163.63 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_x)) )
% 163.96/163.63 => ~ ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_x))
% 163.96/163.63 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y)) ) ) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_dvd_Oless__imp__le,axiom,
% 163.96/163.63 ! [V_y,V_x] :
% 163.96/163.63 ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y))
% 163.96/163.63 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_x)) )
% 163.96/163.63 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y)) ) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_dvd_Oless__not__sym,axiom,
% 163.96/163.63 ! [V_y,V_x] :
% 163.96/163.63 ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y))
% 163.96/163.63 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_x)) )
% 163.96/163.63 => ~ ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_x))
% 163.96/163.63 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y)) ) ) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_dvd_Oless__imp__neq,axiom,
% 163.96/163.63 ! [V_y,V_x] :
% 163.96/163.63 ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y))
% 163.96/163.63 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_x)) )
% 163.96/163.63 => V_x != V_y ) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_dvd_Ole__less__trans,axiom,
% 163.96/163.63 ! [V_z,V_y,V_x] :
% 163.96/163.63 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y))
% 163.96/163.63 => ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_z))
% 163.96/163.63 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_z),V_y)) )
% 163.96/163.63 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_z))
% 163.96/163.63 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_z),V_x)) ) ) ) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_dvd_Oord__eq__less__trans,axiom,
% 163.96/163.63 ! [V_c,V_b,V_a] :
% 163.96/163.63 ( V_a = V_b
% 163.96/163.63 => ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_b),V_c))
% 163.96/163.63 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_c),V_b)) )
% 163.96/163.63 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a),V_c))
% 163.96/163.63 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_c),V_a)) ) ) ) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_dvd_Oorder__trans,axiom,
% 163.96/163.63 ! [V_z,V_y,V_x] :
% 163.96/163.63 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y))
% 163.96/163.63 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_z))
% 163.96/163.63 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_z)) ) ) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_dvd_Oantisym,axiom,
% 163.96/163.63 ! [V_y,V_x] :
% 163.96/163.63 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y))
% 163.96/163.63 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_x))
% 163.96/163.63 => V_x = V_y ) ) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_dvd__antisym,axiom,
% 163.96/163.63 ! [V_n,V_m] :
% 163.96/163.63 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_m),V_n))
% 163.96/163.63 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_n),V_m))
% 163.96/163.63 => V_m = V_n ) ) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_dvd_Oord__le__eq__trans,axiom,
% 163.96/163.63 ! [V_c,V_b,V_a] :
% 163.96/163.63 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a),V_b))
% 163.96/163.63 => ( V_b = V_c
% 163.96/163.63 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a),V_c)) ) ) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_dvd_Oord__eq__le__trans,axiom,
% 163.96/163.63 ! [V_c,V_b,V_a] :
% 163.96/163.63 ( V_a = V_b
% 163.96/163.63 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_b),V_c))
% 163.96/163.63 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a),V_c)) ) ) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_dvd_Ole__neq__trans,axiom,
% 163.96/163.63 ! [V_b,V_a] :
% 163.96/163.63 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a),V_b))
% 163.96/163.63 => ( V_a != V_b
% 163.96/163.63 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a),V_b))
% 163.96/163.63 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_b),V_a)) ) ) ) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_dvd_Ole__imp__less__or__eq,axiom,
% 163.96/163.63 ! [V_y,V_x] :
% 163.96/163.63 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y))
% 163.96/163.63 => ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y))
% 163.96/163.63 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_x)) )
% 163.96/163.63 | V_x = V_y ) ) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_dvd_Oantisym__conv,axiom,
% 163.96/163.63 ! [V_x_2,V_y_2] :
% 163.96/163.63 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y_2),V_x_2))
% 163.96/163.63 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x_2),V_y_2))
% 163.96/163.63 <=> V_x_2 = V_y_2 ) ) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_dvd_Oeq__refl,axiom,
% 163.96/163.63 ! [V_y,V_x] :
% 163.96/163.63 ( V_x = V_y
% 163.96/163.63 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y)) ) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_dvd_Oneq__le__trans,axiom,
% 163.96/163.63 ! [V_b,V_a] :
% 163.96/163.63 ( V_a != V_b
% 163.96/163.63 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a),V_b))
% 163.96/163.63 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a),V_b))
% 163.96/163.63 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_b),V_a)) ) ) ) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_dvd_Oless__le,axiom,
% 163.96/163.63 ! [V_y_2,V_x_2] :
% 163.96/163.63 ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x_2),V_y_2))
% 163.96/163.63 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y_2),V_x_2)) )
% 163.96/163.63 <=> ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x_2),V_y_2))
% 163.96/163.63 & V_x_2 != V_y_2 ) ) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_dvd_Ole__less,axiom,
% 163.96/163.63 ! [V_y_2,V_x_2] :
% 163.96/163.63 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x_2),V_y_2))
% 163.96/163.63 <=> ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x_2),V_y_2))
% 163.96/163.63 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y_2),V_x_2)) )
% 163.96/163.63 | V_x_2 = V_y_2 ) ) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_dvd_Oeq__iff,axiom,
% 163.96/163.63 ! [V_y_2,V_x_2] :
% 163.96/163.63 ( V_x_2 = V_y_2
% 163.96/163.63 <=> ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x_2),V_y_2))
% 163.96/163.63 & hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y_2),V_x_2)) ) ) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_dvd__trans,axiom,
% 163.96/163.63 ! [V_c,V_b,V_a,T_a] :
% 163.96/163.63 ( class_Rings_Ocomm__semiring__1(T_a)
% 163.96/163.63 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),V_b))
% 163.96/163.63 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_b),V_c))
% 163.96/163.63 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),V_c)) ) ) ) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_dvd__refl,axiom,
% 163.96/163.63 ! [V_a,T_a] :
% 163.96/163.63 ( class_Rings_Ocomm__semiring__1(T_a)
% 163.96/163.63 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),V_a)) ) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_dvd__power__same,axiom,
% 163.96/163.63 ! [V_n,V_y,V_x,T_a] :
% 163.96/163.63 ( class_Rings_Ocomm__semiring__1(T_a)
% 163.96/163.63 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_x),V_y))
% 163.96/163.63 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(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_y),V_n))) ) ) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_one__dvd,axiom,
% 163.96/163.63 ! [V_a,T_a] :
% 163.96/163.63 ( class_Rings_Ocomm__semiring__1(T_a)
% 163.96/163.63 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),c_Groups_Oone__class_Oone(T_a)),V_a)) ) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_nat__dvd__1__iff__1,axiom,
% 163.96/163.63 ! [V_m_2] :
% 163.96/163.63 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_m_2),c_Groups_Oone__class_Oone(tc_Nat_Onat)))
% 163.96/163.63 <=> V_m_2 = c_Groups_Oone__class_Oone(tc_Nat_Onat) ) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_dvd__eq__mod__eq__0,axiom,
% 163.96/163.63 ! [V_b_2,V_a_2,T_b] :
% 163.96/163.63 ( class_Divides_Osemiring__div(T_b)
% 163.96/163.63 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_a_2),V_b_2))
% 163.96/163.63 <=> c_Divides_Odiv__class_Omod(T_b,V_b_2,V_a_2) = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_dvd__imp__mod__0,axiom,
% 163.96/163.63 ! [V_b,V_a,T_a] :
% 163.96/163.63 ( class_Divides_Osemiring__div(T_a)
% 163.96/163.63 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),V_b))
% 163.96/163.63 => c_Divides_Odiv__class_Omod(T_a,V_b,V_a) = c_Groups_Ozero__class_Ozero(T_a) ) ) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_div__power,axiom,
% 163.96/163.63 ! [V_n,V_x,V_y,T_a] :
% 163.96/163.63 ( class_Divides_Osemiring__div(T_a)
% 163.96/163.63 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_y),V_x))
% 163.96/163.63 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_x),V_y)),V_n) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(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_y),V_n)) ) ) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_dvd__diff,axiom,
% 163.96/163.63 ! [V_z,V_y,V_x,T_a] :
% 163.96/163.63 ( class_Rings_Ocomm__ring__1(T_a)
% 163.96/163.63 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_x),V_y))
% 163.96/163.63 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_x),V_z))
% 163.96/163.63 => 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))) ) ) ) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_dvd__diff__nat,axiom,
% 163.96/163.63 ! [V_n,V_m,V_k] :
% 163.96/163.63 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k),V_m))
% 163.96/163.63 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k),V_n))
% 163.96/163.63 => 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))) ) ) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_dvd__1__iff__1,axiom,
% 163.96/163.63 ! [V_m_2] :
% 163.96/163.63 ( 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))))
% 163.96/163.63 <=> V_m_2 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_dvd__if__abs__eq,axiom,
% 163.96/163.63 ! [V_k,V_l,T_a] :
% 163.96/163.63 ( class_Rings_Olinordered__idom(T_a)
% 163.96/163.63 => ( hAPP(c_Groups_Oabs__class_Oabs(T_a),V_l) = hAPP(c_Groups_Oabs__class_Oabs(T_a),V_k)
% 163.96/163.63 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_l),V_k)) ) ) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_abs__dvd__iff,axiom,
% 163.96/163.63 ! [V_k_2,V_m_2,T_b] :
% 163.96/163.63 ( class_Rings_Olinordered__idom(T_b)
% 163.96/163.63 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),hAPP(c_Groups_Oabs__class_Oabs(T_b),V_m_2)),V_k_2))
% 163.96/163.63 <=> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_m_2),V_k_2)) ) ) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_dvd__abs__iff,axiom,
% 163.96/163.63 ! [V_k_2,V_m_2,T_b] :
% 163.96/163.63 ( class_Rings_Olinordered__idom(T_b)
% 163.96/163.63 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_m_2),hAPP(c_Groups_Oabs__class_Oabs(T_b),V_k_2)))
% 163.96/163.63 <=> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_m_2),V_k_2)) ) ) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_dvd_OatLeastatMost__empty__iff2,axiom,
% 163.96/163.63 ! [V_b_2,V_a_2] :
% 163.96/163.63 ( 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)
% 163.96/163.63 <=> ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a_2),V_b_2)) ) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_dvd_OatLeastatMost__empty__iff,axiom,
% 163.96/163.63 ! [V_b_2,V_a_2] :
% 163.96/163.63 ( 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))
% 163.96/163.63 <=> ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a_2),V_b_2)) ) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_dvd_OatLeastatMost__empty,axiom,
% 163.96/163.63 ! [V_a_2,V_b_2] :
% 163.96/163.63 ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_b_2),V_a_2))
% 163.96/163.63 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a_2),V_b_2)) )
% 163.96/163.63 => 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)) ) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_dvd_OatLeastLessThan__empty__iff2,axiom,
% 163.96/163.63 ! [V_b_2,V_a_2] :
% 163.96/163.63 ( 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)
% 163.96/163.63 <=> ~ ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a_2),V_b_2))
% 163.96/163.63 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_b_2),V_a_2)) ) ) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_dvd_OgreaterThanAtMost__empty__iff2,axiom,
% 163.96/163.63 ! [V_l_2,V_k_2] :
% 163.96/163.63 ( 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)
% 163.96/163.63 <=> ~ ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k_2),V_l_2))
% 163.96/163.63 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_l_2),V_k_2)) ) ) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_dvd_OatLeastLessThan__empty__iff,axiom,
% 163.96/163.63 ! [V_b_2,V_a_2] :
% 163.96/163.63 ( 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))
% 163.96/163.63 <=> ~ ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a_2),V_b_2))
% 163.96/163.63 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_b_2),V_a_2)) ) ) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_dvd_OgreaterThanAtMost__empty__iff,axiom,
% 163.96/163.63 ! [V_l_2,V_k_2] :
% 163.96/163.63 ( 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))
% 163.96/163.63 <=> ~ ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k_2),V_l_2))
% 163.96/163.63 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_l_2),V_k_2)) ) ) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_dvd_OgreaterThanLessThan__empty,axiom,
% 163.96/163.63 ! [V_k_2,V_l_2] :
% 163.96/163.63 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_l_2),V_k_2))
% 163.96/163.63 => 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)) ) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_dvd_OatLeastLessThan__empty,axiom,
% 163.96/163.63 ! [V_a_2,V_b_2] :
% 163.96/163.63 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_b_2),V_a_2))
% 163.96/163.63 => 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)) ) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_dvd_OgreaterThanAtMost__empty,axiom,
% 163.96/163.63 ! [V_k_2,V_l_2] :
% 163.96/163.63 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_l_2),V_k_2))
% 163.96/163.63 => 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)) ) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_dvd_OatLeastAtMost__singleton_H,axiom,
% 163.96/163.63 ! [V_b_2,V_a_2] :
% 163.96/163.63 ( V_a_2 = V_b_2
% 163.96/163.63 => 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))) ) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_dvd_OatLeastAtMost__singleton,axiom,
% 163.96/163.63 ! [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))) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_dvd_OatLeastAtMost__singleton__iff,axiom,
% 163.96/163.63 ! [V_c_2,V_b_2,V_a_2] :
% 163.96/163.63 ( 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)))
% 163.96/163.63 <=> ( V_a_2 = V_b_2
% 163.96/163.63 & V_b_2 = V_c_2 ) ) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_dvd__div__eq__mult,axiom,
% 163.96/163.63 ! [V_c_2,V_b_2,V_a_2,T_b] :
% 163.96/163.63 ( class_Divides_Osemiring__div(T_b)
% 163.96/163.63 => ( V_a_2 != c_Groups_Ozero__class_Ozero(T_b)
% 163.96/163.63 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_a_2),V_b_2))
% 163.96/163.63 => ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_b),V_b_2),V_a_2) = V_c_2
% 163.96/163.63 <=> V_b_2 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_c_2),V_a_2) ) ) ) ) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_dvd__div__div__eq__mult,axiom,
% 163.96/163.63 ! [V_d_2,V_b_2,V_c_2,V_a_2,T_b] :
% 163.96/163.63 ( class_Divides_Osemiring__div(T_b)
% 163.96/163.63 => ( V_a_2 != c_Groups_Ozero__class_Ozero(T_b)
% 163.96/163.63 => ( V_c_2 != c_Groups_Ozero__class_Ozero(T_b)
% 163.96/163.63 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_a_2),V_b_2))
% 163.96/163.63 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_c_2),V_d_2))
% 163.96/163.63 => ( 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)
% 163.96/163.63 <=> 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) ) ) ) ) ) ) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_dvd__eq__mod__eq__0__number__of,axiom,
% 163.96/163.63 ! [V_y_2,V_x_2,T_b] :
% 163.96/163.63 ( ( class_Divides_Osemiring__div(T_b)
% 163.96/163.63 & class_Int_Onumber(T_b) )
% 163.96/163.63 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(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)))
% 163.96/163.63 <=> c_Divides_Odiv__class_Omod(T_b,hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_y_2),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_x_2)) = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_dvd__mult__div__cancel,axiom,
% 163.96/163.63 ! [V_b,V_a,T_a] :
% 163.96/163.63 ( class_Divides_Osemiring__div(T_a)
% 163.96/163.63 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),V_b))
% 163.96/163.63 => 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 ) ) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_div__mult__swap,axiom,
% 163.96/163.63 ! [V_a,V_b,V_c,T_a] :
% 163.96/163.63 ( class_Divides_Osemiring__div(T_a)
% 163.96/163.63 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_c),V_b))
% 163.96/163.63 => 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) ) ) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_dvd__div__mult__self,axiom,
% 163.96/163.63 ! [V_b,V_a,T_a] :
% 163.96/163.63 ( class_Divides_Osemiring__div(T_a)
% 163.96/163.63 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),V_b))
% 163.96/163.63 => 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 ) ) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_dvd__div__mult,axiom,
% 163.96/163.63 ! [V_c,V_b,V_a,T_a] :
% 163.96/163.63 ( class_Divides_Osemiring__div(T_a)
% 163.96/163.63 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),V_b))
% 163.96/163.63 => 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) ) ) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_div__mult__div__if__dvd,axiom,
% 163.96/163.63 ! [V_w,V_z,V_x,V_y,T_a] :
% 163.96/163.63 ( class_Divides_Osemiring__div(T_a)
% 163.96/163.63 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_y),V_x))
% 163.96/163.63 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_z),V_w))
% 163.96/163.63 => 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)) ) ) ) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_dvd__mult__cancel__left,axiom,
% 163.96/163.63 ! [V_b_2,V_a_2,V_c_2,T_b] :
% 163.96/163.63 ( class_Rings_Oidom(T_b)
% 163.96/163.63 => ( 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)))
% 163.96/163.63 <=> ( V_c_2 = c_Groups_Ozero__class_Ozero(T_b)
% 163.96/163.63 | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_a_2),V_b_2)) ) ) ) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_dvd__mult__cancel__right,axiom,
% 163.96/163.63 ! [V_b_2,V_c_2,V_a_2,T_b] :
% 163.96/163.63 ( class_Rings_Oidom(T_b)
% 163.96/163.63 => ( 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)))
% 163.96/163.63 <=> ( V_c_2 = c_Groups_Ozero__class_Ozero(T_b)
% 163.96/163.63 | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_a_2),V_b_2)) ) ) ) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_dvd__mult__right,axiom,
% 163.96/163.63 ! [V_c,V_b,V_a,T_a] :
% 163.96/163.63 ( class_Rings_Ocomm__semiring__1(T_a)
% 163.96/163.63 => ( 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))
% 163.96/163.63 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_b),V_c)) ) ) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_dvd__mult__left,axiom,
% 163.96/163.63 ! [V_c,V_b,V_a,T_a] :
% 163.96/163.63 ( class_Rings_Ocomm__semiring__1(T_a)
% 163.96/163.63 => ( 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))
% 163.96/163.63 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),V_c)) ) ) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_dvdI,axiom,
% 163.96/163.63 ! [V_k,V_b,V_a,T_a] :
% 163.96/163.63 ( class_Rings_Odvd(T_a)
% 163.96/163.63 => ( V_a = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_k)
% 163.96/163.63 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_b),V_a)) ) ) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_mult__dvd__mono,axiom,
% 163.96/163.63 ! [V_d,V_c,V_b,V_a,T_a] :
% 163.96/163.63 ( class_Rings_Ocomm__semiring__1(T_a)
% 163.96/163.63 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),V_b))
% 163.96/163.63 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_c),V_d))
% 163.96/163.63 => 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))) ) ) ) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_dvd__mult,axiom,
% 163.96/163.63 ! [V_b,V_c,V_a,T_a] :
% 163.96/163.63 ( class_Rings_Ocomm__semiring__1(T_a)
% 163.96/163.63 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),V_c))
% 163.96/163.63 => 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))) ) ) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_dvd__mult2,axiom,
% 163.96/163.63 ! [V_c,V_b,V_a,T_a] :
% 163.96/163.63 ( class_Rings_Ocomm__semiring__1(T_a)
% 163.96/163.63 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),V_b))
% 163.96/163.63 => 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))) ) ) ).
% 163.96/163.63
% 163.96/163.63 fof(fact_dvd__triv__right,axiom,
% 163.96/163.63 ! [V_b,V_a,T_a] :
% 163.96/163.63 ( class_Rings_Ocomm__semiring__1(T_a)
% 163.96/163.63 => 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))) ) ).
% 163.96/163.63
% 163.96/163.63 %----Arity declarations (220)
% 163.96/163.63 fof(arity_HOL__Obool__Lattices_Obounded__lattice,axiom,
% 163.96/163.63 class_Lattices_Obounded__lattice(tc_HOL_Obool) ).
% 163.96/163.63
% 163.96/163.63 fof(arity_fun__Lattices_Obounded__lattice,axiom,
% 163.96/163.63 ! [T_2,T_1] :
% 163.96/163.63 ( class_Lattices_Obounded__lattice(T_1)
% 163.96/163.63 => class_Lattices_Obounded__lattice(tc_fun(T_2,T_1)) ) ).
% 163.96/163.63
% 163.96/163.63 fof(arity_fun__Complete__Lattice_Ocomplete__lattice,axiom,
% 163.96/163.63 ! [T_2,T_1] :
% 163.96/163.63 ( class_Complete__Lattice_Ocomplete__lattice(T_1)
% 163.96/163.63 => class_Complete__Lattice_Ocomplete__lattice(tc_fun(T_2,T_1)) ) ).
% 163.96/163.63
% 163.96/163.63 fof(arity_fun__Lattices_Obounded__lattice__top,axiom,
% 163.96/163.63 ! [T_2,T_1] :
% 163.96/163.63 ( class_Lattices_Obounded__lattice(T_1)
% 163.96/163.63 => class_Lattices_Obounded__lattice__top(tc_fun(T_2,T_1)) ) ).
% 163.96/163.63
% 163.96/163.63 fof(arity_fun__Lattices_Obounded__lattice__bot,axiom,
% 163.96/163.63 ! [T_2,T_1] :
% 163.96/163.63 ( class_Lattices_Obounded__lattice(T_1)
% 163.96/163.63 => class_Lattices_Obounded__lattice__bot(tc_fun(T_2,T_1)) ) ).
% 163.96/163.63
% 163.96/163.63 fof(arity_fun__Lattices_Osemilattice__sup,axiom,
% 163.96/163.63 ! [T_2,T_1] :
% 163.96/163.63 ( class_Lattices_Olattice(T_1)
% 163.96/163.63 => class_Lattices_Osemilattice__sup(tc_fun(T_2,T_1)) ) ).
% 163.96/163.63
% 163.96/163.63 fof(arity_fun__Lattices_Osemilattice__inf,axiom,
% 163.96/163.63 ! [T_2,T_1] :
% 163.96/163.63 ( class_Lattices_Olattice(T_1)
% 163.96/163.63 => class_Lattices_Osemilattice__inf(tc_fun(T_2,T_1)) ) ).
% 163.96/163.63
% 163.96/163.63 fof(arity_fun__Lattices_Odistrib__lattice,axiom,
% 163.96/163.63 ! [T_2,T_1] :
% 163.96/163.63 ( class_Lattices_Odistrib__lattice(T_1)
% 163.96/163.63 => class_Lattices_Odistrib__lattice(tc_fun(T_2,T_1)) ) ).
% 163.96/163.63
% 163.96/163.63 fof(arity_fun__Lattices_Oboolean__algebra,axiom,
% 163.96/163.63 ! [T_2,T_1] :
% 163.96/163.63 ( class_Lattices_Oboolean__algebra(T_1)
% 163.96/163.63 => class_Lattices_Oboolean__algebra(tc_fun(T_2,T_1)) ) ).
% 163.96/163.63
% 163.96/163.63 fof(arity_fun__Orderings_Opreorder,axiom,
% 163.96/163.63 ! [T_2,T_1] :
% 163.96/163.63 ( class_Orderings_Opreorder(T_1)
% 163.96/163.63 => class_Orderings_Opreorder(tc_fun(T_2,T_1)) ) ).
% 163.96/163.63
% 163.96/163.63 fof(arity_fun__Finite__Set_Ofinite,axiom,
% 163.96/163.63 ! [T_1,T_2] :
% 163.96/163.63 ( ( class_Finite__Set_Ofinite(T_2)
% 163.96/163.63 & class_Finite__Set_Ofinite(T_1) )
% 163.96/163.63 => class_Finite__Set_Ofinite(tc_fun(T_2,T_1)) ) ).
% 163.96/163.63
% 163.96/163.63 fof(arity_fun__Lattices_Olattice,axiom,
% 163.96/163.63 ! [T_2,T_1] :
% 163.96/163.63 ( class_Lattices_Olattice(T_1)
% 163.96/163.63 => class_Lattices_Olattice(tc_fun(T_2,T_1)) ) ).
% 163.96/163.63
% 163.96/163.63 fof(arity_fun__Orderings_Oorder,axiom,
% 163.96/163.63 ! [T_2,T_1] :
% 163.96/163.63 ( class_Orderings_Oorder(T_1)
% 163.96/163.63 => class_Orderings_Oorder(tc_fun(T_2,T_1)) ) ).
% 163.96/163.63
% 163.96/163.63 fof(arity_fun__Orderings_Otop,axiom,
% 163.96/163.63 ! [T_2,T_1] :
% 163.96/163.63 ( class_Orderings_Otop(T_1)
% 163.96/163.63 => class_Orderings_Otop(tc_fun(T_2,T_1)) ) ).
% 163.96/163.63
% 163.96/163.63 fof(arity_fun__Orderings_Oord,axiom,
% 163.96/163.63 ! [T_2,T_1] :
% 163.96/163.63 ( class_Orderings_Oord(T_1)
% 163.96/163.63 => class_Orderings_Oord(tc_fun(T_2,T_1)) ) ).
% 163.96/163.63
% 163.96/163.63 fof(arity_fun__Orderings_Obot,axiom,
% 163.96/163.63 ! [T_2,T_1] :
% 163.96/163.63 ( class_Orderings_Obot(T_1)
% 163.96/163.63 => class_Orderings_Obot(tc_fun(T_2,T_1)) ) ).
% 163.96/163.63
% 163.96/163.63 fof(arity_fun__Groups_Ouminus,axiom,
% 163.96/163.63 ! [T_2,T_1] :
% 163.96/163.63 ( class_Groups_Ouminus(T_1)
% 163.96/163.63 => class_Groups_Ouminus(tc_fun(T_2,T_1)) ) ).
% 163.96/163.63
% 163.96/163.63 fof(arity_fun__Groups_Ominus,axiom,
% 163.96/163.63 ! [T_2,T_1] :
% 163.96/163.63 ( class_Groups_Ominus(T_1)
% 163.96/163.63 => class_Groups_Ominus(tc_fun(T_2,T_1)) ) ).
% 163.96/163.63
% 163.96/163.63 fof(arity_fun__Enum_Oenum,axiom,
% 163.96/163.63 ! [T_1,T_2] :
% 163.96/163.63 ( ( class_Enum_Oenum(T_2)
% 163.96/163.63 & class_Enum_Oenum(T_1) )
% 163.96/163.63 => class_Enum_Oenum(tc_fun(T_2,T_1)) ) ).
% 163.96/163.63
% 163.96/163.63 fof(arity_Int__Oint__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct,axiom,
% 163.96/163.63 class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Int_Oint) ).
% 163.96/163.63
% 163.96/163.63 fof(arity_Int__Oint__Groups_Oordered__cancel__ab__semigroup__add,axiom,
% 163.96/163.63 class_Groups_Oordered__cancel__ab__semigroup__add(tc_Int_Oint) ).
% 163.96/163.63
% 163.96/163.63 fof(arity_Int__Oint__Groups_Oordered__ab__semigroup__add__imp__le,axiom,
% 163.96/163.63 class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Int_Oint) ).
% 163.96/163.63
% 163.96/163.63 fof(arity_Int__Oint__Rings_Olinordered__comm__semiring__strict,axiom,
% 163.96/163.63 class_Rings_Olinordered__comm__semiring__strict(tc_Int_Oint) ).
% 163.96/163.63
% 163.96/163.63 fof(arity_Int__Oint__Rings_Olinordered__semiring__1__strict,axiom,
% 163.96/163.63 class_Rings_Olinordered__semiring__1__strict(tc_Int_Oint) ).
% 163.96/163.63
% 163.96/163.63 fof(arity_Int__Oint__Groups_Olinordered__ab__semigroup__add,axiom,
% 163.96/163.63 class_Groups_Olinordered__ab__semigroup__add(tc_Int_Oint) ).
% 163.96/163.63
% 163.96/163.63 fof(arity_Int__Oint__Rings_Olinordered__semiring__strict,axiom,
% 163.96/163.63 class_Rings_Olinordered__semiring__strict(tc_Int_Oint) ).
% 163.96/163.63
% 163.96/163.63 fof(arity_Int__Oint__Groups_Oordered__ab__semigroup__add,axiom,
% 163.96/163.63 class_Groups_Oordered__ab__semigroup__add(tc_Int_Oint) ).
% 163.96/163.63
% 163.96/163.63 fof(arity_Int__Oint__Groups_Oordered__ab__group__add__abs,axiom,
% 163.96/163.63 class_Groups_Oordered__ab__group__add__abs(tc_Int_Oint) ).
% 163.96/163.63
% 163.96/163.63 fof(arity_Int__Oint__Groups_Oordered__comm__monoid__add,axiom,
% 163.96/163.63 class_Groups_Oordered__comm__monoid__add(tc_Int_Oint) ).
% 163.96/163.63
% 163.96/163.63 fof(arity_Int__Oint__Groups_Olinordered__ab__group__add,axiom,
% 163.96/163.63 class_Groups_Olinordered__ab__group__add(tc_Int_Oint) ).
% 163.96/163.63
% 163.96/163.63 fof(arity_Int__Oint__Groups_Ocancel__ab__semigroup__add,axiom,
% 163.96/163.63 class_Groups_Ocancel__ab__semigroup__add(tc_Int_Oint) ).
% 163.96/163.63
% 163.96/163.63 fof(arity_Int__Oint__Rings_Oring__1__no__zero__divisors,axiom,
% 163.96/163.63 class_Rings_Oring__1__no__zero__divisors(tc_Int_Oint) ).
% 163.96/163.63
% 163.96/163.63 fof(arity_Int__Oint__Rings_Oordered__cancel__semiring,axiom,
% 163.96/163.63 class_Rings_Oordered__cancel__semiring(tc_Int_Oint) ).
% 163.96/163.63
% 163.96/163.63 fof(arity_Int__Oint__Rings_Olinordered__ring__strict,axiom,
% 163.96/163.63 class_Rings_Olinordered__ring__strict(tc_Int_Oint) ).
% 163.96/163.63
% 163.96/163.63 fof(arity_Int__Oint__Rings_Oring__no__zero__divisors,axiom,
% 163.96/163.63 class_Rings_Oring__no__zero__divisors(tc_Int_Oint) ).
% 163.96/163.63
% 163.96/163.63 fof(arity_Int__Oint__Rings_Oordered__comm__semiring,axiom,
% 163.96/163.63 class_Rings_Oordered__comm__semiring(tc_Int_Oint) ).
% 163.96/163.63
% 163.96/163.63 fof(arity_Int__Oint__Rings_Olinordered__semiring__1,axiom,
% 163.96/163.63 class_Rings_Olinordered__semiring__1(tc_Int_Oint) ).
% 163.96/163.63
% 163.96/163.63 fof(arity_Int__Oint__Groups_Oordered__ab__group__add,axiom,
% 163.96/163.63 class_Groups_Oordered__ab__group__add(tc_Int_Oint) ).
% 163.96/163.63
% 163.96/163.63 fof(arity_Int__Oint__Groups_Ocancel__semigroup__add,axiom,
% 163.96/163.63 class_Groups_Ocancel__semigroup__add(tc_Int_Oint) ).
% 163.96/163.63
% 163.96/163.63 fof(arity_Int__Oint__Rings_Olinordered__semiring,axiom,
% 163.96/163.63 class_Rings_Olinordered__semiring(tc_Int_Oint) ).
% 163.96/163.63
% 163.96/163.63 fof(arity_Int__Oint__Rings_Olinordered__semidom,axiom,
% 163.96/163.63 class_Rings_Olinordered__semidom(tc_Int_Oint) ).
% 163.96/163.63
% 163.96/163.63 fof(arity_Int__Oint__Lazy__Sequence_Osmall__lazy,axiom,
% 163.96/163.63 class_Lazy__Sequence_Osmall__lazy(tc_Int_Oint) ).
% 163.96/163.63
% 163.96/163.63 fof(arity_Int__Oint__Lattices_Osemilattice__sup,axiom,
% 163.96/163.63 class_Lattices_Osemilattice__sup(tc_Int_Oint) ).
% 163.96/163.63
% 163.96/163.63 fof(arity_Int__Oint__Lattices_Osemilattice__inf,axiom,
% 163.96/163.63 class_Lattices_Osemilattice__inf(tc_Int_Oint) ).
% 163.96/163.63
% 163.96/163.63 fof(arity_Int__Oint__Lattices_Odistrib__lattice,axiom,
% 163.96/163.63 class_Lattices_Odistrib__lattice(tc_Int_Oint) ).
% 163.96/163.63
% 163.96/163.63 fof(arity_Int__Oint__Groups_Oab__semigroup__mult,axiom,
% 163.96/163.63 class_Groups_Oab__semigroup__mult(tc_Int_Oint) ).
% 163.96/163.63
% 163.96/163.63 fof(arity_Int__Oint__Groups_Ocomm__monoid__mult,axiom,
% 163.96/163.63 class_Groups_Ocomm__monoid__mult(tc_Int_Oint) ).
% 163.96/163.63
% 163.96/163.63 fof(arity_Int__Oint__Groups_Oab__semigroup__add,axiom,
% 163.96/163.63 class_Groups_Oab__semigroup__add(tc_Int_Oint) ).
% 163.96/163.63
% 163.96/163.63 fof(arity_Int__Oint__Rings_Oordered__semiring,axiom,
% 163.96/163.63 class_Rings_Oordered__semiring(tc_Int_Oint) ).
% 163.96/163.63
% 163.96/163.63 fof(arity_Int__Oint__Rings_Oordered__ring__abs,axiom,
% 163.96/163.63 class_Rings_Oordered__ring__abs(tc_Int_Oint) ).
% 163.96/163.63
% 163.96/163.63 fof(arity_Int__Oint__Rings_Ono__zero__divisors,axiom,
% 163.96/163.63 class_Rings_Ono__zero__divisors(tc_Int_Oint) ).
% 163.96/163.63
% 163.96/163.63 fof(arity_Int__Oint__Groups_Ocomm__monoid__add,axiom,
% 163.96/163.63 class_Groups_Ocomm__monoid__add(tc_Int_Oint) ).
% 163.96/163.63
% 163.96/163.63 fof(arity_Int__Oint__Rings_Olinordered__ring,axiom,
% 163.96/163.63 class_Rings_Olinordered__ring(tc_Int_Oint) ).
% 163.96/163.63
% 163.96/163.63 fof(arity_Int__Oint__Rings_Olinordered__idom,axiom,
% 163.96/163.63 class_Rings_Olinordered__idom(tc_Int_Oint) ).
% 163.96/163.63
% 163.96/163.63 fof(arity_Int__Oint__Rings_Ocomm__semiring__1,axiom,
% 163.96/163.63 class_Rings_Ocomm__semiring__1(tc_Int_Oint) ).
% 163.96/163.63
% 163.96/163.63 fof(arity_Int__Oint__Groups_Osemigroup__add,axiom,
% 163.96/163.63 class_Groups_Osemigroup__add(tc_Int_Oint) ).
% 163.96/163.63
% 163.96/163.63 fof(arity_Int__Oint__Divides_Osemiring__div,axiom,
% 163.96/163.63 class_Divides_Osemiring__div(tc_Int_Oint) ).
% 163.96/163.63
% 163.96/163.63 fof(arity_Int__Oint__Rings_Ocomm__semiring,axiom,
% 163.96/163.63 class_Rings_Ocomm__semiring(tc_Int_Oint) ).
% 163.96/163.63
% 163.96/163.63 fof(arity_Int__Oint__Nat_Osemiring__char__0,axiom,
% 163.96/163.63 class_Nat_Osemiring__char__0(tc_Int_Oint) ).
% 163.96/163.63
% 163.96/163.63 fof(arity_Int__Oint__Groups_Oab__group__add,axiom,
% 163.96/163.63 class_Groups_Oab__group__add(tc_Int_Oint) ).
% 163.96/163.63
% 163.96/163.63 fof(arity_Int__Oint__Rings_Ozero__neq__one,axiom,
% 163.96/163.63 class_Rings_Ozero__neq__one(tc_Int_Oint) ).
% 163.96/163.63
% 163.96/163.63 fof(arity_Int__Oint__Rings_Oordered__ring,axiom,
% 163.96/163.63 class_Rings_Oordered__ring(tc_Int_Oint) ).
% 163.96/163.63
% 163.96/163.63 fof(arity_Int__Oint__Orderings_Opreorder,axiom,
% 163.96/163.63 class_Orderings_Opreorder(tc_Int_Oint) ).
% 163.96/163.63
% 163.96/163.63 fof(arity_Int__Oint__Orderings_Olinorder,axiom,
% 163.96/163.63 class_Orderings_Olinorder(tc_Int_Oint) ).
% 163.96/163.63
% 163.96/163.63 fof(arity_Int__Oint__Groups_Omonoid__mult,axiom,
% 163.96/163.63 class_Groups_Omonoid__mult(tc_Int_Oint) ).
% 163.96/163.63
% 163.96/163.63 fof(arity_Int__Oint__Rings_Ocomm__ring__1,axiom,
% 163.96/163.63 class_Rings_Ocomm__ring__1(tc_Int_Oint) ).
% 163.96/163.63
% 163.96/163.63 fof(arity_Int__Oint__Groups_Omonoid__add,axiom,
% 163.96/163.63 class_Groups_Omonoid__add(tc_Int_Oint) ).
% 163.96/163.63
% 163.96/163.63 fof(arity_Int__Oint__Rings_Osemiring__1,axiom,
% 163.96/163.63 class_Rings_Osemiring__1(tc_Int_Oint) ).
% 163.96/163.63
% 163.96/163.63 fof(arity_Int__Oint__Rings_Osemiring__0,axiom,
% 163.96/163.63 class_Rings_Osemiring__0(tc_Int_Oint) ).
% 163.96/163.63
% 163.96/163.63 fof(arity_Int__Oint__Lattices_Olattice,axiom,
% 163.96/163.63 class_Lattices_Olattice(tc_Int_Oint) ).
% 163.96/163.63
% 163.96/163.63 fof(arity_Int__Oint__Groups_Ogroup__add,axiom,
% 163.96/163.63 class_Groups_Ogroup__add(tc_Int_Oint) ).
% 163.96/163.63
% 163.96/163.63 fof(arity_Int__Oint__Divides_Oring__div,axiom,
% 163.96/163.63 class_Divides_Oring__div(tc_Int_Oint) ).
% 163.96/163.63
% 163.96/163.63 fof(arity_Int__Oint__Rings_Omult__zero,axiom,
% 163.96/163.63 class_Rings_Omult__zero(tc_Int_Oint) ).
% 163.96/163.63
% 163.96/163.63 fof(arity_Int__Oint__Orderings_Oorder,axiom,
% 163.96/163.63 class_Orderings_Oorder(tc_Int_Oint) ).
% 163.96/163.63
% 163.96/163.63 fof(arity_Int__Oint__Int_Oring__char__0,axiom,
% 163.96/163.63 class_Int_Oring__char__0(tc_Int_Oint) ).
% 163.96/163.63
% 163.96/163.63 fof(arity_Int__Oint__Int_Onumber__ring,axiom,
% 163.96/163.63 class_Int_Onumber__ring(tc_Int_Oint) ).
% 163.96/163.63
% 163.96/163.63 fof(arity_Int__Oint__Rings_Osemiring,axiom,
% 163.96/163.63 class_Rings_Osemiring(tc_Int_Oint) ).
% 163.96/163.63
% 163.96/163.63 fof(arity_Int__Oint__Orderings_Oord,axiom,
% 163.96/163.63 class_Orderings_Oord(tc_Int_Oint) ).
% 163.96/163.63
% 163.96/163.63 fof(arity_Int__Oint__Groups_Ouminus,axiom,
% 163.96/163.63 class_Groups_Ouminus(tc_Int_Oint) ).
% 163.96/163.63
% 163.96/163.63 fof(arity_Int__Oint__Groups_Osgn__if,axiom,
% 163.96/163.63 class_Groups_Osgn__if(tc_Int_Oint) ).
% 163.96/163.63
% 163.96/163.63 fof(arity_Int__Oint__Groups_Oabs__if,axiom,
% 163.96/163.63 class_Groups_Oabs__if(tc_Int_Oint) ).
% 163.96/163.63
% 163.96/163.63 fof(arity_Int__Oint__Rings_Oring__1,axiom,
% 163.96/163.63 class_Rings_Oring__1(tc_Int_Oint) ).
% 163.96/163.63
% 163.96/163.63 fof(arity_Int__Oint__Groups_Ominus,axiom,
% 163.96/163.63 class_Groups_Ominus(tc_Int_Oint) ).
% 163.96/163.63
% 163.96/163.63 fof(arity_Int__Oint__Power_Opower,axiom,
% 163.96/163.63 class_Power_Opower(tc_Int_Oint) ).
% 163.96/163.63
% 163.96/163.63 fof(arity_Int__Oint__Groups_Ozero,axiom,
% 163.96/163.63 class_Groups_Ozero(tc_Int_Oint) ).
% 163.96/163.63
% 163.96/163.63 fof(arity_Int__Oint__Rings_Oring,axiom,
% 163.96/163.63 class_Rings_Oring(tc_Int_Oint) ).
% 163.96/163.63
% 163.96/163.63 fof(arity_Int__Oint__Rings_Oidom,axiom,
% 163.96/163.63 class_Rings_Oidom(tc_Int_Oint) ).
% 163.96/163.63
% 163.96/163.63 fof(arity_Int__Oint__Int_Onumber,axiom,
% 163.96/163.63 class_Int_Onumber(tc_Int_Oint) ).
% 163.96/163.63
% 163.96/163.63 fof(arity_Int__Oint__Groups_Oone,axiom,
% 163.96/163.63 class_Groups_Oone(tc_Int_Oint) ).
% 163.96/163.63
% 163.96/163.63 fof(arity_Int__Oint__Rings_Odvd,axiom,
% 163.96/163.63 class_Rings_Odvd(tc_Int_Oint) ).
% 163.96/163.63
% 163.96/163.63 fof(arity_Nat__Onat__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct,axiom,
% 163.96/163.63 class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Nat_Onat) ).
% 163.96/163.63
% 163.96/163.63 fof(arity_Nat__Onat__Groups_Oordered__cancel__ab__semigroup__add,axiom,
% 163.96/163.63 class_Groups_Oordered__cancel__ab__semigroup__add(tc_Nat_Onat) ).
% 163.96/163.63
% 163.96/163.63 fof(arity_Nat__Onat__Groups_Oordered__ab__semigroup__add__imp__le,axiom,
% 163.96/163.63 class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Nat_Onat) ).
% 163.96/163.63
% 163.96/163.63 fof(arity_Nat__Onat__Rings_Olinordered__comm__semiring__strict,axiom,
% 163.96/163.63 class_Rings_Olinordered__comm__semiring__strict(tc_Nat_Onat) ).
% 163.96/163.63
% 163.96/163.63 fof(arity_Nat__Onat__Groups_Olinordered__ab__semigroup__add,axiom,
% 163.96/163.63 class_Groups_Olinordered__ab__semigroup__add(tc_Nat_Onat) ).
% 163.96/163.63
% 163.96/163.63 fof(arity_Nat__Onat__Rings_Olinordered__semiring__strict,axiom,
% 163.96/163.63 class_Rings_Olinordered__semiring__strict(tc_Nat_Onat) ).
% 163.96/163.63
% 163.96/163.63 fof(arity_Nat__Onat__Groups_Oordered__ab__semigroup__add,axiom,
% 163.96/163.63 class_Groups_Oordered__ab__semigroup__add(tc_Nat_Onat) ).
% 163.96/163.63
% 163.96/163.63 fof(arity_Nat__Onat__Groups_Oordered__comm__monoid__add,axiom,
% 163.96/163.63 class_Groups_Oordered__comm__monoid__add(tc_Nat_Onat) ).
% 163.96/163.63
% 163.96/163.63 fof(arity_Nat__Onat__Groups_Ocancel__ab__semigroup__add,axiom,
% 163.96/163.63 class_Groups_Ocancel__ab__semigroup__add(tc_Nat_Onat) ).
% 163.96/163.63
% 163.96/163.63 fof(arity_Nat__Onat__Rings_Oordered__cancel__semiring,axiom,
% 163.96/163.63 class_Rings_Oordered__cancel__semiring(tc_Nat_Onat) ).
% 163.96/163.63
% 163.96/163.63 fof(arity_Nat__Onat__Rings_Oordered__comm__semiring,axiom,
% 163.96/163.63 class_Rings_Oordered__comm__semiring(tc_Nat_Onat) ).
% 163.96/163.63
% 163.96/163.63 fof(arity_Nat__Onat__Groups_Ocancel__semigroup__add,axiom,
% 163.96/163.63 class_Groups_Ocancel__semigroup__add(tc_Nat_Onat) ).
% 163.96/163.63
% 163.96/163.63 fof(arity_Nat__Onat__Rings_Olinordered__semiring,axiom,
% 163.96/163.63 class_Rings_Olinordered__semiring(tc_Nat_Onat) ).
% 163.96/163.63
% 163.96/163.63 fof(arity_Nat__Onat__Rings_Olinordered__semidom,axiom,
% 163.96/163.63 class_Rings_Olinordered__semidom(tc_Nat_Onat) ).
% 163.96/163.63
% 163.96/163.63 fof(arity_Nat__Onat__Lattices_Osemilattice__sup,axiom,
% 163.96/163.63 class_Lattices_Osemilattice__sup(tc_Nat_Onat) ).
% 163.96/163.63
% 163.96/163.63 fof(arity_Nat__Onat__Lattices_Osemilattice__inf,axiom,
% 163.96/163.63 class_Lattices_Osemilattice__inf(tc_Nat_Onat) ).
% 163.96/163.63
% 163.96/163.63 fof(arity_Nat__Onat__Lattices_Odistrib__lattice,axiom,
% 163.96/163.63 class_Lattices_Odistrib__lattice(tc_Nat_Onat) ).
% 163.96/163.63
% 163.96/163.63 fof(arity_Nat__Onat__Groups_Oab__semigroup__mult,axiom,
% 163.96/163.63 class_Groups_Oab__semigroup__mult(tc_Nat_Onat) ).
% 163.96/163.63
% 163.96/163.63 fof(arity_Nat__Onat__Groups_Ocomm__monoid__mult,axiom,
% 163.96/163.63 class_Groups_Ocomm__monoid__mult(tc_Nat_Onat) ).
% 163.96/163.63
% 163.96/163.63 fof(arity_Nat__Onat__Groups_Oab__semigroup__add,axiom,
% 163.96/163.63 class_Groups_Oab__semigroup__add(tc_Nat_Onat) ).
% 163.96/163.63
% 163.96/163.63 fof(arity_Nat__Onat__Rings_Oordered__semiring,axiom,
% 163.96/163.63 class_Rings_Oordered__semiring(tc_Nat_Onat) ).
% 163.96/163.63
% 163.96/163.63 fof(arity_Nat__Onat__Rings_Ono__zero__divisors,axiom,
% 163.96/163.63 class_Rings_Ono__zero__divisors(tc_Nat_Onat) ).
% 163.96/163.63
% 163.96/163.63 fof(arity_Nat__Onat__Groups_Ocomm__monoid__add,axiom,
% 163.96/163.63 class_Groups_Ocomm__monoid__add(tc_Nat_Onat) ).
% 163.96/163.63
% 163.96/163.63 fof(arity_Nat__Onat__Rings_Ocomm__semiring__1,axiom,
% 163.96/163.63 class_Rings_Ocomm__semiring__1(tc_Nat_Onat) ).
% 163.96/163.63
% 163.96/163.63 fof(arity_Nat__Onat__Groups_Osemigroup__add,axiom,
% 163.96/163.63 class_Groups_Osemigroup__add(tc_Nat_Onat) ).
% 163.96/163.63
% 163.96/163.63 fof(arity_Nat__Onat__Divides_Osemiring__div,axiom,
% 163.96/163.63 class_Divides_Osemiring__div(tc_Nat_Onat) ).
% 163.96/163.63
% 163.96/163.63 fof(arity_Nat__Onat__Rings_Ocomm__semiring,axiom,
% 163.96/163.63 class_Rings_Ocomm__semiring(tc_Nat_Onat) ).
% 163.96/163.63
% 163.96/163.63 fof(arity_Nat__Onat__Orderings_Owellorder,axiom,
% 163.96/163.63 class_Orderings_Owellorder(tc_Nat_Onat) ).
% 163.96/163.63
% 163.96/163.63 fof(arity_Nat__Onat__Nat_Osemiring__char__0,axiom,
% 163.96/163.63 class_Nat_Osemiring__char__0(tc_Nat_Onat) ).
% 163.96/163.63
% 163.96/163.63 fof(arity_Nat__Onat__Rings_Ozero__neq__one,axiom,
% 163.96/163.63 class_Rings_Ozero__neq__one(tc_Nat_Onat) ).
% 163.96/163.63
% 163.96/163.63 fof(arity_Nat__Onat__Orderings_Opreorder,axiom,
% 163.96/163.63 class_Orderings_Opreorder(tc_Nat_Onat) ).
% 163.96/163.63
% 163.96/163.63 fof(arity_Nat__Onat__Orderings_Olinorder,axiom,
% 163.96/163.63 class_Orderings_Olinorder(tc_Nat_Onat) ).
% 163.96/163.63
% 163.96/163.63 fof(arity_Nat__Onat__Groups_Omonoid__mult,axiom,
% 163.96/163.63 class_Groups_Omonoid__mult(tc_Nat_Onat) ).
% 163.96/163.63
% 163.96/163.63 fof(arity_Nat__Onat__Groups_Omonoid__add,axiom,
% 163.96/163.63 class_Groups_Omonoid__add(tc_Nat_Onat) ).
% 163.96/163.63
% 163.96/163.63 fof(arity_Nat__Onat__Rings_Osemiring__1,axiom,
% 163.96/163.63 class_Rings_Osemiring__1(tc_Nat_Onat) ).
% 163.96/163.63
% 163.96/163.63 fof(arity_Nat__Onat__Rings_Osemiring__0,axiom,
% 163.96/163.63 class_Rings_Osemiring__0(tc_Nat_Onat) ).
% 163.96/163.63
% 163.96/163.63 fof(arity_Nat__Onat__Lattices_Olattice,axiom,
% 163.96/163.63 class_Lattices_Olattice(tc_Nat_Onat) ).
% 163.96/163.63
% 163.96/163.63 fof(arity_Nat__Onat__Rings_Omult__zero,axiom,
% 163.96/163.63 class_Rings_Omult__zero(tc_Nat_Onat) ).
% 163.96/163.63
% 163.96/163.63 fof(arity_Nat__Onat__Orderings_Oorder,axiom,
% 163.96/163.63 class_Orderings_Oorder(tc_Nat_Onat) ).
% 163.96/163.63
% 163.96/163.63 fof(arity_Nat__Onat__Rings_Osemiring,axiom,
% 163.96/163.63 class_Rings_Osemiring(tc_Nat_Onat) ).
% 163.96/163.63
% 163.96/163.63 fof(arity_Nat__Onat__Orderings_Oord,axiom,
% 163.96/163.63 class_Orderings_Oord(tc_Nat_Onat) ).
% 163.96/163.63
% 163.96/163.63 fof(arity_Nat__Onat__Orderings_Obot,axiom,
% 163.96/163.63 class_Orderings_Obot(tc_Nat_Onat) ).
% 163.96/163.63
% 163.96/163.63 fof(arity_Nat__Onat__Groups_Ominus,axiom,
% 163.96/163.63 class_Groups_Ominus(tc_Nat_Onat) ).
% 163.96/163.63
% 163.96/163.63 fof(arity_Nat__Onat__Power_Opower,axiom,
% 163.96/163.63 class_Power_Opower(tc_Nat_Onat) ).
% 163.96/163.63
% 163.96/163.63 fof(arity_Nat__Onat__Groups_Ozero,axiom,
% 163.96/163.63 class_Groups_Ozero(tc_Nat_Onat) ).
% 163.96/163.63
% 163.96/163.63 fof(arity_Nat__Onat__Int_Onumber,axiom,
% 163.96/163.63 class_Int_Onumber(tc_Nat_Onat) ).
% 163.96/163.63
% 163.96/163.63 fof(arity_Nat__Onat__Groups_Oone,axiom,
% 163.96/163.63 class_Groups_Oone(tc_Nat_Onat) ).
% 163.96/163.63
% 163.96/163.63 fof(arity_Nat__Onat__Rings_Odvd,axiom,
% 163.96/163.63 class_Rings_Odvd(tc_Nat_Onat) ).
% 163.96/163.63
% 163.96/163.63 fof(arity_Nat__Onat__Nat_Osize,axiom,
% 163.96/163.63 class_Nat_Osize(tc_Nat_Onat) ).
% 163.96/163.63
% 163.96/163.63 fof(arity_HOL__Obool__Complete__Lattice_Ocomplete__lattice,axiom,
% 163.96/163.63 class_Complete__Lattice_Ocomplete__lattice(tc_HOL_Obool) ).
% 163.96/163.63
% 163.96/163.63 fof(arity_HOL__Obool__Lattices_Obounded__lattice__top,axiom,
% 163.96/163.63 class_Lattices_Obounded__lattice__top(tc_HOL_Obool) ).
% 163.96/163.63
% 163.96/163.63 fof(arity_HOL__Obool__Lattices_Obounded__lattice__bot,axiom,
% 163.96/163.63 class_Lattices_Obounded__lattice__bot(tc_HOL_Obool) ).
% 163.96/163.63
% 163.96/163.63 fof(arity_HOL__Obool__Lattices_Osemilattice__sup,axiom,
% 163.96/163.63 class_Lattices_Osemilattice__sup(tc_HOL_Obool) ).
% 163.96/163.63
% 163.96/163.63 fof(arity_HOL__Obool__Lattices_Osemilattice__inf,axiom,
% 163.96/163.63 class_Lattices_Osemilattice__inf(tc_HOL_Obool) ).
% 163.96/163.63
% 163.96/163.63 fof(arity_HOL__Obool__Lattices_Odistrib__lattice,axiom,
% 163.96/163.63 class_Lattices_Odistrib__lattice(tc_HOL_Obool) ).
% 163.96/163.63
% 163.96/163.63 fof(arity_HOL__Obool__Lattices_Oboolean__algebra,axiom,
% 163.96/163.63 class_Lattices_Oboolean__algebra(tc_HOL_Obool) ).
% 163.96/163.63
% 163.96/163.63 fof(arity_HOL__Obool__Orderings_Opreorder,axiom,
% 163.96/163.63 class_Orderings_Opreorder(tc_HOL_Obool) ).
% 163.96/163.63
% 163.96/163.63 fof(arity_HOL__Obool__Finite__Set_Ofinite,axiom,
% 163.96/163.63 class_Finite__Set_Ofinite(tc_HOL_Obool) ).
% 163.96/163.63
% 163.96/163.63 fof(arity_HOL__Obool__Lattices_Olattice,axiom,
% 163.96/163.63 class_Lattices_Olattice(tc_HOL_Obool) ).
% 163.96/163.63
% 163.96/163.63 fof(arity_HOL__Obool__Orderings_Oorder,axiom,
% 163.96/163.63 class_Orderings_Oorder(tc_HOL_Obool) ).
% 163.96/163.63
% 163.96/163.63 fof(arity_HOL__Obool__Orderings_Otop,axiom,
% 163.96/163.63 class_Orderings_Otop(tc_HOL_Obool) ).
% 163.96/163.63
% 163.96/163.63 fof(arity_HOL__Obool__Orderings_Oord,axiom,
% 163.96/163.63 class_Orderings_Oord(tc_HOL_Obool) ).
% 163.96/163.63
% 163.96/163.63 fof(arity_HOL__Obool__Orderings_Obot,axiom,
% 163.96/163.63 class_Orderings_Obot(tc_HOL_Obool) ).
% 163.96/163.63
% 163.96/163.63 fof(arity_HOL__Obool__Groups_Ouminus,axiom,
% 163.96/163.63 class_Groups_Ouminus(tc_HOL_Obool) ).
% 163.96/163.63
% 163.96/163.63 fof(arity_HOL__Obool__Groups_Ominus,axiom,
% 163.96/163.63 class_Groups_Ominus(tc_HOL_Obool) ).
% 163.96/163.63
% 163.96/163.63 fof(arity_HOL__Obool__Enum_Oenum,axiom,
% 163.96/163.63 class_Enum_Oenum(tc_HOL_Obool) ).
% 163.96/163.63
% 163.96/163.63 fof(arity_HOL__Obool__Nat_Osize,axiom,
% 163.96/163.63 class_Nat_Osize(tc_HOL_Obool) ).
% 163.96/163.63
% 163.96/163.63 fof(arity_Com__Ostate__Nat_Osize,axiom,
% 163.96/163.63 class_Nat_Osize(tc_Com_Ostate) ).
% 163.96/163.63
% 163.96/163.63 fof(arity_List__Olist__Lazy__Sequence_Osmall__lazy,axiom,
% 163.96/163.63 ! [T_1] :
% 163.96/163.63 ( class_Lazy__Sequence_Osmall__lazy(T_1)
% 163.96/163.63 => class_Lazy__Sequence_Osmall__lazy(tc_List_Olist(T_1)) ) ).
% 163.96/163.63
% 163.96/163.63 fof(arity_List__Olist__Nat_Osize,axiom,
% 163.96/163.63 ! [T_1] : class_Nat_Osize(tc_List_Olist(T_1)) ).
% 163.96/163.63
% 163.96/163.63 fof(arity_sum__Finite__Set_Ofinite,axiom,
% 163.96/163.63 ! [T_1,T_2] :
% 163.96/163.63 ( ( class_Finite__Set_Ofinite(T_2)
% 163.96/163.63 & class_Finite__Set_Ofinite(T_1) )
% 163.96/163.63 => class_Finite__Set_Ofinite(tc_sum(T_2,T_1)) ) ).
% 163.96/163.63
% 163.96/163.63 fof(arity_sum__Enum_Oenum,axiom,
% 163.96/163.63 ! [T_1,T_2] :
% 163.96/163.63 ( ( class_Enum_Oenum(T_2)
% 163.96/163.63 & class_Enum_Oenum(T_1) )
% 163.96/163.63 => class_Enum_Oenum(tc_sum(T_2,T_1)) ) ).
% 163.96/163.63
% 163.96/163.63 fof(arity_sum__Nat_Osize,axiom,
% 163.96/163.63 ! [T_1,T_2] : class_Nat_Osize(tc_sum(T_2,T_1)) ).
% 163.96/163.63
% 163.96/163.63 fof(arity_Option__Ooption__Finite__Set_Ofinite,axiom,
% 163.96/163.63 ! [T_1] :
% 163.96/163.63 ( class_Finite__Set_Ofinite(T_1)
% 163.96/163.63 => class_Finite__Set_Ofinite(tc_Option_Ooption(T_1)) ) ).
% 163.96/163.63
% 163.96/163.63 fof(arity_Option__Ooption__Enum_Oenum,axiom,
% 163.96/163.63 ! [T_1] :
% 163.96/163.63 ( class_Enum_Oenum(T_1)
% 163.96/163.63 => class_Enum_Oenum(tc_Option_Ooption(T_1)) ) ).
% 163.96/163.63
% 163.96/163.63 fof(arity_Option__Ooption__Nat_Osize,axiom,
% 163.96/163.63 ! [T_1] : class_Nat_Osize(tc_Option_Ooption(T_1)) ).
% 163.96/163.63
% 163.96/163.63 fof(arity_Nitpick__Opair____box__Nat_Osize,axiom,
% 163.96/163.63 ! [T_1,T_2] : class_Nat_Osize(tc_Nitpick_Opair__box(T_2,T_1)) ).
% 163.96/163.63
% 163.96/163.63 fof(arity_prod__Lazy__Sequence_Osmall__lazy,axiom,
% 163.96/163.63 ! [T_1,T_2] :
% 163.96/163.63 ( ( class_Lazy__Sequence_Osmall__lazy(T_2)
% 163.96/163.63 & class_Lazy__Sequence_Osmall__lazy(T_1) )
% 163.96/163.63 => class_Lazy__Sequence_Osmall__lazy(tc_prod(T_2,T_1)) ) ).
% 163.96/163.63
% 163.96/163.63 fof(arity_prod__Finite__Set_Ofinite,axiom,
% 163.96/163.63 ! [T_1,T_2] :
% 163.96/163.63 ( ( class_Finite__Set_Ofinite(T_2)
% 163.96/163.63 & class_Finite__Set_Ofinite(T_1) )
% 163.96/163.63 => class_Finite__Set_Ofinite(tc_prod(T_2,T_1)) ) ).
% 163.96/163.63
% 163.96/163.63 fof(arity_prod__Enum_Oenum,axiom,
% 163.96/163.63 ! [T_1,T_2] :
% 163.96/163.63 ( ( class_Enum_Oenum(T_2)
% 163.96/163.63 & class_Enum_Oenum(T_1) )
% 163.96/163.63 => class_Enum_Oenum(tc_prod(T_2,T_1)) ) ).
% 163.96/163.63
% 163.96/163.63 fof(arity_prod__Nat_Osize,axiom,
% 163.96/163.63 ! [T_1,T_2] : class_Nat_Osize(tc_prod(T_2,T_1)) ).
% 163.96/163.63
% 163.96/163.63 fof(arity_Product____Type__Ounit__Lazy__Sequence_Osmall__lazy,axiom,
% 163.96/163.63 class_Lazy__Sequence_Osmall__lazy(tc_Product__Type_Ounit) ).
% 163.96/163.63
% 163.96/163.63 fof(arity_Product____Type__Ounit__Finite__Set_Ofinite,axiom,
% 163.96/163.63 class_Finite__Set_Ofinite(tc_Product__Type_Ounit) ).
% 163.96/163.63
% 163.96/163.63 fof(arity_Product____Type__Ounit__Enum_Oenum,axiom,
% 163.96/163.63 class_Enum_Oenum(tc_Product__Type_Ounit) ).
% 163.96/163.63
% 163.96/163.63 fof(arity_Product____Type__Ounit__Nat_Osize,axiom,
% 163.96/163.63 class_Nat_Osize(tc_Product__Type_Ounit) ).
% 163.96/163.63
% 163.96/163.63 fof(arity_Code____Evaluation__Oterm__Nat_Osize,axiom,
% 163.96/163.63 class_Nat_Osize(tc_Code__Evaluation_Oterm) ).
% 163.96/163.63
% 163.96/163.63 fof(arity_Hoare____Mirabelle__Otriple__Nat_Osize,axiom,
% 163.96/163.63 ! [T_1] : class_Nat_Osize(tc_Hoare__Mirabelle_Otriple(T_1)) ).
% 163.96/163.63
% 163.96/163.63 fof(arity_Code____Numeral__Ocode____numeral__Groups_Oordered__cancel__ab__semigroup__add,axiom,
% 163.96/163.63 class_Groups_Oordered__cancel__ab__semigroup__add(tc_Code__Numeral_Ocode__numeral) ).
% 163.96/163.63
% 163.96/163.63 fof(arity_Code____Numeral__Ocode____numeral__Groups_Oordered__ab__semigroup__add__imp__le,axiom,
% 163.96/163.63 class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Code__Numeral_Ocode__numeral) ).
% 163.96/163.63
% 163.96/163.63 fof(arity_Code____Numeral__Ocode____numeral__Rings_Olinordered__comm__semiring__strict,axiom,
% 163.96/163.63 class_Rings_Olinordered__comm__semiring__strict(tc_Code__Numeral_Ocode__numeral) ).
% 163.96/163.63
% 163.96/163.63 fof(arity_Code____Numeral__Ocode____numeral__Groups_Olinordered__ab__semigroup__add,axiom,
% 163.96/163.63 class_Groups_Olinordered__ab__semigroup__add(tc_Code__Numeral_Ocode__numeral) ).
% 163.96/163.63
% 163.96/163.63 fof(arity_Code____Numeral__Ocode____numeral__Rings_Olinordered__semiring__strict,axiom,
% 163.96/163.63 class_Rings_Olinordered__semiring__strict(tc_Code__Numeral_Ocode__numeral) ).
% 163.96/163.63
% 163.96/163.63 fof(arity_Code____Numeral__Ocode____numeral__Groups_Oordered__ab__semigroup__add,axiom,
% 163.96/163.63 class_Groups_Oordered__ab__semigroup__add(tc_Code__Numeral_Ocode__numeral) ).
% 163.96/163.63
% 163.96/163.63 fof(arity_Code____Numeral__Ocode____numeral__Groups_Oordered__comm__monoid__add,axiom,
% 163.96/163.63 class_Groups_Oordered__comm__monoid__add(tc_Code__Numeral_Ocode__numeral) ).
% 163.96/163.63
% 163.96/163.63 fof(arity_Code____Numeral__Ocode____numeral__Groups_Ocancel__ab__semigroup__add,axiom,
% 163.96/163.63 class_Groups_Ocancel__ab__semigroup__add(tc_Code__Numeral_Ocode__numeral) ).
% 163.96/163.63
% 163.96/163.63 fof(arity_Code____Numeral__Ocode____numeral__Rings_Oordered__cancel__semiring,axiom,
% 163.96/163.63 class_Rings_Oordered__cancel__semiring(tc_Code__Numeral_Ocode__numeral) ).
% 163.96/163.63
% 163.96/163.63 fof(arity_Code____Numeral__Ocode____numeral__Rings_Oordered__comm__semiring,axiom,
% 163.96/163.63 class_Rings_Oordered__comm__semiring(tc_Code__Numeral_Ocode__numeral) ).
% 163.96/163.63
% 163.96/163.63 fof(arity_Code____Numeral__Ocode____numeral__Groups_Ocancel__semigroup__add,axiom,
% 163.96/163.63 class_Groups_Ocancel__semigroup__add(tc_Code__Numeral_Ocode__numeral) ).
% 163.96/163.63
% 163.96/163.63 fof(arity_Code____Numeral__Ocode____numeral__Rings_Olinordered__semiring,axiom,
% 163.96/163.63 class_Rings_Olinordered__semiring(tc_Code__Numeral_Ocode__numeral) ).
% 163.96/163.63
% 163.96/163.63 fof(arity_Code____Numeral__Ocode____numeral__Rings_Olinordered__semidom,axiom,
% 163.96/163.63 class_Rings_Olinordered__semidom(tc_Code__Numeral_Ocode__numeral) ).
% 163.96/163.63
% 163.96/163.63 fof(arity_Code____Numeral__Ocode____numeral__Groups_Oab__semigroup__mult,axiom,
% 163.96/163.63 class_Groups_Oab__semigroup__mult(tc_Code__Numeral_Ocode__numeral) ).
% 163.96/163.63
% 163.96/163.63 fof(arity_Code____Numeral__Ocode____numeral__Groups_Ocomm__monoid__mult,axiom,
% 163.96/163.63 class_Groups_Ocomm__monoid__mult(tc_Code__Numeral_Ocode__numeral) ).
% 163.96/163.63
% 163.96/163.63 fof(arity_Code____Numeral__Ocode____numeral__Groups_Oab__semigroup__add,axiom,
% 163.96/163.63 class_Groups_Oab__semigroup__add(tc_Code__Numeral_Ocode__numeral) ).
% 163.96/163.63
% 163.96/163.63 fof(arity_Code____Numeral__Ocode____numeral__Rings_Oordered__semiring,axiom,
% 163.96/163.63 class_Rings_Oordered__semiring(tc_Code__Numeral_Ocode__numeral) ).
% 163.96/163.63
% 163.96/163.63 fof(arity_Code____Numeral__Ocode____numeral__Rings_Ono__zero__divisors,axiom,
% 163.96/163.63 class_Rings_Ono__zero__divisors(tc_Code__Numeral_Ocode__numeral) ).
% 163.96/163.63
% 163.96/163.63 fof(arity_Code____Numeral__Ocode____numeral__Groups_Ocomm__monoid__add,axiom,
% 163.96/163.63 class_Groups_Ocomm__monoid__add(tc_Code__Numeral_Ocode__numeral) ).
% 163.96/163.63
% 163.96/163.63 fof(arity_Code____Numeral__Ocode____numeral__Rings_Ocomm__semiring__1,axiom,
% 163.96/163.63 class_Rings_Ocomm__semiring__1(tc_Code__Numeral_Ocode__numeral) ).
% 163.96/163.63
% 163.96/163.63 fof(arity_Code____Numeral__Ocode____numeral__Groups_Osemigroup__add,axiom,
% 163.96/163.63 class_Groups_Osemigroup__add(tc_Code__Numeral_Ocode__numeral) ).
% 163.96/163.63
% 163.96/163.63 fof(arity_Code____Numeral__Ocode____numeral__Divides_Osemiring__div,axiom,
% 163.96/163.63 class_Divides_Osemiring__div(tc_Code__Numeral_Ocode__numeral) ).
% 163.96/163.63
% 163.96/163.63 fof(arity_Code____Numeral__Ocode____numeral__Rings_Ocomm__semiring,axiom,
% 163.96/163.63 class_Rings_Ocomm__semiring(tc_Code__Numeral_Ocode__numeral) ).
% 163.96/163.63
% 163.96/163.63 fof(arity_Code____Numeral__Ocode____numeral__Nat_Osemiring__char__0,axiom,
% 163.96/163.63 class_Nat_Osemiring__char__0(tc_Code__Numeral_Ocode__numeral) ).
% 163.96/163.63
% 163.96/163.63 fof(arity_Code____Numeral__Ocode____numeral__Rings_Ozero__neq__one,axiom,
% 163.96/163.63 class_Rings_Ozero__neq__one(tc_Code__Numeral_Ocode__numeral) ).
% 163.96/163.63
% 163.96/163.63 fof(arity_Code____Numeral__Ocode____numeral__Orderings_Opreorder,axiom,
% 163.96/163.63 class_Orderings_Opreorder(tc_Code__Numeral_Ocode__numeral) ).
% 163.96/163.63
% 163.96/163.63 fof(arity_Code____Numeral__Ocode____numeral__Orderings_Olinorder,axiom,
% 163.96/163.63 class_Orderings_Olinorder(tc_Code__Numeral_Ocode__numeral) ).
% 163.96/163.63
% 163.96/163.63 fof(arity_Code____Numeral__Ocode____numeral__Groups_Omonoid__mult,axiom,
% 163.96/163.63 class_Groups_Omonoid__mult(tc_Code__Numeral_Ocode__numeral) ).
% 163.96/163.63
% 163.96/163.63 fof(arity_Code____Numeral__Ocode____numeral__Groups_Omonoid__add,axiom,
% 163.96/163.63 class_Groups_Omonoid__add(tc_Code__Numeral_Ocode__numeral) ).
% 163.96/163.63
% 163.96/163.63 fof(arity_Code____Numeral__Ocode____numeral__Rings_Osemiring__1,axiom,
% 163.96/163.63 class_Rings_Osemiring__1(tc_Code__Numeral_Ocode__numeral) ).
% 163.96/163.63
% 163.96/163.63 fof(arity_Code____Numeral__Ocode____numeral__Rings_Osemiring__0,axiom,
% 163.96/163.63 class_Rings_Osemiring__0(tc_Code__Numeral_Ocode__numeral) ).
% 163.96/163.63
% 163.96/163.63 fof(arity_Code____Numeral__Ocode____numeral__Rings_Omult__zero,axiom,
% 163.96/163.63 class_Rings_Omult__zero(tc_Code__Numeral_Ocode__numeral) ).
% 163.96/163.63
% 163.96/163.63 fof(arity_Code____Numeral__Ocode____numeral__Orderings_Oorder,axiom,
% 163.96/163.63 class_Orderings_Oorder(tc_Code__Numeral_Ocode__numeral) ).
% 163.96/163.63
% 163.96/163.63 fof(arity_Code____Numeral__Ocode____numeral__Rings_Osemiring,axiom,
% 163.96/163.63 class_Rings_Osemiring(tc_Code__Numeral_Ocode__numeral) ).
% 163.96/163.63
% 163.96/163.63 fof(arity_Code____Numeral__Ocode____numeral__Orderings_Oord,axiom,
% 163.96/163.63 class_Orderings_Oord(tc_Code__Numeral_Ocode__numeral) ).
% 163.96/163.63
% 163.96/163.63 fof(arity_Code____Numeral__Ocode____numeral__Groups_Ominus,axiom,
% 163.96/163.63 class_Groups_Ominus(tc_Code__Numeral_Ocode__numeral) ).
% 163.96/163.63
% 163.96/163.63 fof(arity_Code____Numeral__Ocode____numeral__Power_Opower,axiom,
% 163.96/163.63 class_Power_Opower(tc_Code__Numeral_Ocode__numeral) ).
% 163.96/163.63
% 163.96/163.63 fof(arity_Code____Numeral__Ocode____numeral__Groups_Ozero,axiom,
% 163.96/163.63 class_Groups_Ozero(tc_Code__Numeral_Ocode__numeral) ).
% 163.96/163.63
% 163.96/163.63 fof(arity_Code____Numeral__Ocode____numeral__Int_Onumber,axiom,
% 163.96/163.63 class_Int_Onumber(tc_Code__Numeral_Ocode__numeral) ).
% 163.96/163.63
% 163.96/163.63 fof(arity_Code____Numeral__Ocode____numeral__Groups_Oone,axiom,
% 163.96/163.63 class_Groups_Oone(tc_Code__Numeral_Ocode__numeral) ).
% 163.96/163.63
% 163.96/163.63 fof(arity_Code____Numeral__Ocode____numeral__Rings_Odvd,axiom,
% 163.96/163.63 class_Rings_Odvd(tc_Code__Numeral_Ocode__numeral) ).
% 163.96/163.63
% 163.96/163.63 fof(arity_Code____Numeral__Ocode____numeral__Nat_Osize,axiom,
% 163.96/163.63 class_Nat_Osize(tc_Code__Numeral_Ocode__numeral) ).
% 163.96/163.63
% 163.96/163.63 fof(arity_Lazy____Sequence__Olazy____sequence__Nat_Osize,axiom,
% 163.96/163.63 ! [T_1] : class_Nat_Osize(tc_Lazy__Sequence_Olazy__sequence(T_1)) ).
% 163.96/163.63
% 163.96/163.63 %----Helper facts (20)
% 163.96/163.63 fof(help_c__COMBI__1,axiom,
% 163.96/163.63 ! [V_P,T_a] : hAPP(c_COMBI(T_a),V_P) = V_P ).
% 163.96/163.63
% 163.96/163.63 fof(help_c__COMBK__1,axiom,
% 163.96/163.63 ! [V_Q,V_P,T_b,T_a] : hAPP(hAPP(c_COMBK(T_a,T_b),V_P),V_Q) = V_P ).
% 163.96/163.63
% 163.96/163.63 fof(help_c__COMBB__1,axiom,
% 163.96/163.63 ! [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)) ).
% 163.96/163.63
% 163.96/163.63 fof(help_c__COMBC__1,axiom,
% 163.96/163.63 ! [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) ).
% 163.96/163.63
% 163.96/163.63 fof(help_c__COMBS__1,axiom,
% 163.96/163.63 ! [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)) ).
% 163.96/163.63
% 163.96/163.63 fof(help_c__fequal__1,axiom,
% 163.96/163.63 ! [V_y_2,V_x_2] :
% 163.96/163.63 ( ~ hBOOL(hAPP(hAPP(c_fequal,V_x_2),V_y_2))
% 163.96/163.63 | V_x_2 = V_y_2 ) ).
% 163.96/163.63
% 163.96/163.63 fof(help_c__fequal__2,axiom,
% 163.96/163.63 ! [V_y_2,V_x_2] :
% 163.96/163.63 ( V_x_2 != V_y_2
% 163.96/163.63 | hBOOL(hAPP(hAPP(c_fequal,V_x_2),V_y_2)) ) ).
% 163.96/163.63
% 163.96/163.63 fof(help_c__fFalse__1,axiom,
% 163.96/163.63 ~ hBOOL(c_fFalse) ).
% 163.96/163.63
% 163.96/163.63 fof(help_c__fTrue__1,axiom,
% 163.96/163.63 hBOOL(c_fTrue) ).
% 163.96/163.63
% 163.96/163.63 fof(help_c__fNot__1,axiom,
% 163.96/163.63 ! [V_P_2] :
% 163.96/163.63 ( ~ hBOOL(hAPP(c_fNot,V_P_2))
% 163.96/163.63 | ~ hBOOL(V_P_2) ) ).
% 163.96/163.63
% 163.96/163.63 fof(help_c__fNot__2,axiom,
% 163.96/163.63 ! [V_P_2] :
% 163.96/163.63 ( ~ ~ hBOOL(V_P_2)
% 163.96/163.63 | hBOOL(hAPP(c_fNot,V_P_2)) ) ).
% 163.96/163.63
% 163.96/163.63 fof(help_c__fconj__1,axiom,
% 163.96/163.63 ! [V_Q_2,V_P_2] :
% 163.96/163.63 ( ~ hBOOL(V_P_2)
% 163.96/163.63 | ~ hBOOL(V_Q_2)
% 163.96/163.63 | hBOOL(hAPP(hAPP(c_fconj,V_P_2),V_Q_2)) ) ).
% 163.96/163.63
% 163.96/163.63 fof(help_c__fconj__2,axiom,
% 163.96/163.63 ! [V_Q_2,V_P_2] :
% 163.96/163.63 ( ~ hBOOL(hAPP(hAPP(c_fconj,V_P_2),V_Q_2))
% 163.96/163.63 | hBOOL(V_P_2) ) ).
% 163.96/163.63
% 163.96/163.63 fof(help_c__fconj__3,axiom,
% 163.96/163.63 ! [V_Q_2,V_P_2] :
% 163.96/163.63 ( ~ hBOOL(hAPP(hAPP(c_fconj,V_P_2),V_Q_2))
% 163.96/163.63 | hBOOL(V_Q_2) ) ).
% 163.96/163.63
% 163.96/163.63 fof(help_c__fdisj__1,axiom,
% 163.96/163.63 ! [V_Q_2,V_P_2] :
% 163.96/163.63 ( ~ hBOOL(V_P_2)
% 163.96/163.63 | hBOOL(hAPP(hAPP(c_fdisj,V_P_2),V_Q_2)) ) ).
% 163.96/163.63
% 163.96/163.63 fof(help_c__fdisj__2,axiom,
% 163.96/163.63 ! [V_P_2,V_Q_2] :
% 163.96/163.63 ( ~ hBOOL(V_Q_2)
% 163.96/163.63 | hBOOL(hAPP(hAPP(c_fdisj,V_P_2),V_Q_2)) ) ).
% 163.96/163.63
% 163.96/163.63 fof(help_c__fdisj__3,axiom,
% 163.96/163.63 ! [V_Q_2,V_P_2] :
% 163.96/163.63 ( ~ hBOOL(hAPP(hAPP(c_fdisj,V_P_2),V_Q_2))
% 163.96/163.63 | hBOOL(V_P_2)
% 163.96/163.63 | hBOOL(V_Q_2) ) ).
% 163.96/163.63
% 163.96/163.63 fof(help_c__fimplies__1,axiom,
% 163.96/163.63 ! [V_Q_2,V_P_2] :
% 163.96/163.63 ( hBOOL(V_P_2)
% 163.96/163.63 | hBOOL(hAPP(hAPP(c_fimplies,V_P_2),V_Q_2)) ) ).
% 163.96/163.63
% 163.96/163.63 fof(help_c__fimplies__2,axiom,
% 163.96/163.63 ! [V_P_2,V_Q_2] :
% 163.96/163.63 ( ~ hBOOL(V_Q_2)
% 163.96/163.63 | hBOOL(hAPP(hAPP(c_fimplies,V_P_2),V_Q_2)) ) ).
% 163.96/163.63
% 163.96/163.63 fof(help_c__fimplies__3,axiom,
% 163.96/163.63 ! [V_Q_2,V_P_2] :
% 163.96/163.63 ( ~ hBOOL(hAPP(hAPP(c_fimplies,V_P_2),V_Q_2))
% 163.96/163.63 | ~ hBOOL(V_P_2)
% 163.96/163.63 | hBOOL(V_Q_2) ) ).
% 163.96/163.63
% 163.96/163.63 %----Conjectures (1)
% 163.96/163.63 fof(conj_0,conjecture,
% 163.96/163.63 c_Hoare__Mirabelle_Ohoare__valids(t_a,v_G,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool))) ).
% 163.96/163.63
% 163.96/163.63 %------------------------------------------------------------------------------
% 163.96/163.63 %-------------------------------------------
% 163.96/163.63 % Proof found
% 163.96/163.63 % SZS status Theorem for theBenchmark
% 163.96/163.63 % SZS output start Proof
% 163.96/163.64 %ClaNum:10410(EqnAxiom:3052)
% 163.96/163.64 %VarNum:70910(SingletonVarNum:20444)
% 163.96/163.64 %MaxLitNum:8
% 163.96/163.64 %MaxfuncDepth:13
% 163.96/163.64 %SharedTerms:978
% 163.96/163.64 %goalClause: 4627
% 163.96/163.64 %singleGoalClaCount:1
% 163.96/163.64 [3056]P1(a895)
% 163.96/163.64 [3057]P1(a898)
% 163.96/163.64 [3058]P2(a895)
% 163.96/163.64 [3059]P107(a177)
% 163.96/163.64 [3060]P108(a898)
% 163.96/163.64 [3061]P108(a1)
% 163.96/163.64 [3062]P108(a89)
% 163.96/163.64 [3063]P109(a895)
% 163.96/163.64 [3064]P109(a898)
% 163.96/163.64 [3065]P109(a1)
% 163.96/163.64 [3066]P109(a89)
% 163.96/163.64 [3067]P110(a895)
% 163.96/163.64 [3068]P110(a898)
% 163.96/163.64 [3069]P110(a1)
% 163.96/163.64 [3070]P110(a89)
% 163.96/163.64 [3071]P111(a895)
% 163.96/163.64 [3072]P111(a898)
% 163.96/163.64 [3073]P111(a1)
% 163.96/163.64 [3074]P111(a89)
% 163.96/163.64 [3075]P59(a895)
% 163.96/163.64 [3076]P59(a898)
% 163.96/163.64 [3077]P59(a1)
% 163.96/163.64 [3078]P59(a89)
% 163.96/163.64 [3079]P79(a1)
% 163.96/163.64 [3080]P112(a895)
% 163.96/163.64 [3081]P60(a1)
% 163.96/163.64 [3082]P83(a895)
% 163.96/163.64 [3083]P83(a898)
% 163.96/163.64 [3084]P83(a1)
% 163.96/163.64 [3085]P84(a895)
% 163.96/163.64 [3086]P84(a898)
% 163.96/163.64 [3087]P84(a1)
% 163.96/163.64 [3088]P85(a895)
% 163.96/163.64 [3089]P101(a895)
% 163.96/163.64 [3090]P103(a895)
% 163.96/163.64 [3091]P103(a898)
% 163.96/163.64 [3092]P103(a1)
% 163.96/163.64 [3093]P102(a895)
% 163.96/163.64 [3094]P102(a898)
% 163.96/163.64 [3095]P102(a1)
% 163.96/163.64 [3096]P69(a898)
% 163.96/163.64 [3097]P69(a1)
% 163.96/163.64 [3098]P69(a89)
% 163.96/163.64 [3099]P86(a895)
% 163.96/163.64 [3100]P86(a1)
% 163.96/163.64 [3101]P71(a1)
% 163.96/163.64 [3102]P94(a895)
% 163.96/163.64 [3103]P113(a1)
% 163.96/163.64 [3104]P122(a1)
% 163.96/163.64 [3105]P123(a1)
% 163.96/163.64 [3106]P61(a895)
% 163.96/163.64 [3107]P61(a901)
% 163.96/163.64 [3108]P114(a898)
% 163.96/163.64 [3109]P80(a898)
% 163.96/163.64 [3110]P80(a1)
% 163.96/163.64 [3111]P80(a89)
% 163.96/163.64 [3112]P72(a898)
% 163.96/163.64 [3113]P72(a1)
% 163.96/163.64 [3114]P72(a89)
% 163.96/163.64 [3115]P81(a898)
% 163.96/163.64 [3116]P81(a1)
% 163.96/163.64 [3117]P81(a89)
% 163.96/163.64 [3118]P126(a898)
% 163.96/163.64 [3119]P126(a1)
% 163.96/163.64 [3120]P126(a89)
% 163.96/163.64 [3121]P140(a1)
% 163.96/163.64 [3122]P115(a1)
% 163.96/163.64 [3123]P117(a898)
% 163.96/163.64 [3124]P117(a1)
% 163.96/163.64 [3125]P117(a89)
% 163.96/163.64 [3126]P142(a898)
% 163.96/163.64 [3127]P142(a1)
% 163.96/163.64 [3128]P70(a898)
% 163.96/163.64 [3129]P70(a1)
% 163.96/163.64 [3130]P70(a89)
% 163.96/163.64 [3131]P73(a898)
% 163.96/163.64 [3132]P73(a1)
% 163.96/163.64 [3133]P73(a89)
% 163.96/163.64 [3134]P74(a898)
% 163.96/163.64 [3135]P74(a1)
% 163.96/163.64 [3136]P74(a89)
% 163.96/163.64 [3137]P87(a898)
% 163.96/163.64 [3138]P87(a1)
% 163.96/163.64 [3139]P87(a89)
% 163.96/163.64 [3140]P88(a898)
% 163.96/163.64 [3141]P88(a1)
% 163.96/163.64 [3142]P88(a89)
% 163.96/163.64 [3143]P90(a898)
% 163.96/163.64 [3144]P90(a1)
% 163.96/163.64 [3145]P90(a89)
% 163.96/163.64 [3146]P143(a898)
% 163.96/163.64 [3147]P143(a1)
% 163.96/163.64 [3148]P143(a89)
% 163.96/163.64 [3149]P118(a898)
% 163.96/163.64 [3150]P118(a1)
% 163.96/163.64 [3151]P118(a89)
% 163.96/163.64 [3152]P129(a1)
% 163.96/163.64 [3153]P77(a898)
% 163.96/163.64 [3154]P77(a1)
% 163.96/163.64 [3155]P77(a89)
% 163.96/163.64 [3156]P78(a1)
% 163.96/163.64 [3157]P95(a898)
% 163.96/163.64 [3158]P95(a1)
% 163.96/163.64 [3159]P95(a89)
% 163.96/163.64 [3160]P82(a898)
% 163.96/163.64 [3161]P82(a1)
% 163.96/163.64 [3162]P82(a89)
% 163.96/163.64 [3163]P76(a898)
% 163.96/163.64 [3164]P76(a1)
% 163.96/163.64 [3165]P76(a89)
% 163.96/163.64 [3166]P130(a898)
% 163.96/163.64 [3167]P130(a1)
% 163.96/163.64 [3168]P130(a89)
% 163.96/163.64 [3169]P144(a1)
% 163.96/163.64 [3170]P131(a898)
% 163.96/163.64 [3171]P131(a1)
% 163.96/163.64 [3172]P131(a89)
% 163.96/163.64 [3173]P145(a898)
% 163.96/163.64 [3174]P145(a1)
% 163.96/163.64 [3175]P145(a89)
% 163.96/163.64 [3176]P91(a898)
% 163.96/163.64 [3177]P91(a1)
% 163.96/163.64 [3178]P91(a89)
% 163.96/163.64 [3179]P127(a1)
% 163.96/163.64 [3180]P128(a1)
% 163.96/163.64 [3181]P136(a898)
% 163.96/163.64 [3182]P136(a1)
% 163.96/163.64 [3183]P136(a89)
% 163.96/163.64 [3184]P138(a898)
% 163.96/163.64 [3185]P138(a1)
% 163.96/163.64 [3186]P138(a89)
% 163.96/163.64 [3187]P137(a898)
% 163.96/163.64 [3188]P137(a1)
% 163.96/163.64 [3189]P137(a89)
% 163.96/163.64 [3190]P124(a898)
% 163.96/163.64 [3191]P124(a1)
% 163.96/163.64 [3192]P124(a89)
% 163.96/163.64 [3193]P132(a898)
% 163.96/163.64 [3194]P132(a1)
% 163.96/163.64 [3195]P132(a89)
% 163.96/163.64 [3196]P133(a898)
% 163.96/163.64 [3197]P133(a1)
% 163.96/163.64 [3198]P133(a89)
% 163.96/163.64 [3199]P134(a1)
% 163.96/163.64 [3200]P135(a1)
% 163.96/163.64 [3201]P141(a1)
% 163.96/163.64 [3202]P96(a1)
% 163.96/163.64 [3203]P104(a898)
% 163.96/163.64 [3204]P104(a1)
% 163.96/163.64 [3205]P104(a89)
% 163.96/163.64 [3206]P146(a898)
% 163.96/163.64 [3207]P146(a1)
% 163.96/163.64 [3208]P146(a89)
% 163.96/163.64 [3209]P116(a898)
% 163.96/163.64 [3210]P116(a1)
% 163.96/163.64 [3211]P116(a89)
% 163.96/163.64 [3212]P147(a898)
% 163.96/163.64 [3213]P147(a1)
% 163.96/163.64 [3214]P147(a89)
% 163.96/163.64 [3215]P62(a898)
% 163.96/163.64 [3216]P62(a1)
% 163.96/163.64 [3217]P62(a89)
% 163.96/163.64 [3218]P63(a1)
% 163.96/163.64 [3219]P97(a898)
% 163.96/163.64 [3220]P97(a1)
% 163.96/163.64 [3221]P97(a89)
% 163.96/163.64 [3222]P98(a1)
% 163.96/163.64 [3223]P92(a1)
% 163.96/163.64 [3224]P89(a1)
% 163.96/163.64 [3225]P139(a1)
% 163.96/163.64 [3226]P75(a1)
% 163.96/163.64 [3227]P93(a898)
% 163.96/163.64 [3228]P93(a1)
% 163.96/163.64 [3229]P93(a89)
% 163.96/163.64 [3230]P64(a895)
% 163.96/163.64 [3231]P64(a901)
% 163.96/163.64 [3232]P106(a895)
% 163.96/163.64 [3233]P106(a898)
% 163.96/163.64 [3234]P106(a901)
% 163.96/163.64 [3235]P106(a89)
% 163.96/163.64 [3236]P106(a312)
% 163.96/163.64 [3237]P106(a896)
% 163.96/163.64 [3238]P105(a901)
% 163.96/163.64 [3239]P105(a1)
% 163.96/163.64 [3240]P119(a898)
% 163.96/163.64 [3241]P119(a1)
% 163.96/163.64 [3242]P119(a89)
% 163.96/163.64 [3243]P100(a895)
% 163.96/163.64 [3258]P36(a898,a229)
% 163.96/163.64 [3259]P36(a898,a306)
% 163.96/163.64 [3260]P37(a898,a229)
% 163.96/163.64 [4585]~E(a87,a77)
% 163.96/163.64 [4586]~P107(a228)
% 163.96/163.64 [3053]E(f2(a1),a77)
% 163.96/163.64 [3054]E(f90(a89),a3)
% 163.96/163.64 [3055]E(f23(a89),a24)
% 163.96/163.64 [3244]E(f178(a898),f2(a898))
% 163.96/163.64 [3245]E(f91(a898),f222(a898))
% 163.96/163.64 [3246]E(f100(a898),f223(a898))
% 163.96/163.64 [3247]E(f92(a1),f25(a1))
% 163.96/163.64 [3248]E(f78(a228),f2(a898))
% 163.96/163.64 [3249]E(f78(a177),f2(a898))
% 163.96/163.64 [3250]P3(f72(a1))
% 163.96/163.64 [3251]P3(f2(a1))
% 163.96/163.64 [3306]P36(f904(a898,a898),a26)
% 163.96/163.64 [3648]E(f308(a898,a898,a229,a229),a26)
% 163.96/163.64 [4587]~E(f72(a1),f2(a1))
% 163.96/163.64 [3252]E(f101(f2(a898)),f2(a898))
% 163.96/163.64 [3253]E(f4(f2(a89)),f2(a898))
% 163.96/163.64 [3262]E(f316(f73(a1),a77),a77)
% 163.96/163.64 [3265]E(f316(a102,f2(a898)),f72(a898))
% 163.96/163.64 [3266]E(f316(a94,f72(a1)),f72(a898))
% 163.96/163.64 [3267]E(f316(a3,f72(a898)),f72(a89))
% 163.96/163.64 [3269]E(f316(a3,f2(a898)),f2(a89))
% 163.96/163.64 [3271]E(f316(f93(a1),a77),f2(a1))
% 163.96/163.64 [3272]E(f316(f93(a89),a77),f2(a89))
% 163.96/163.64 [3273]E(f316(a94,f2(a1)),f2(a898))
% 163.96/163.64 [3274]E(f316(f179(a895),a228),f2(a898))
% 163.96/163.64 [3275]E(f316(f179(a895),a177),f2(a898))
% 163.96/163.64 [3276]E(f316(f93(a898),a77),f2(a898))
% 163.96/163.64 [3282]E(f316(f73(a1),f72(a1)),a87)
% 163.96/163.64 [3289]E(f316(f73(a1),f2(a1)),f2(a1))
% 163.96/163.64 [3291]E(f316(f179(a89),f2(a89)),f2(a898))
% 163.96/163.64 [3292]E(f316(f90(a1),f72(a898)),f72(a1))
% 163.96/163.64 [3293]E(f316(f90(a1),f2(a898)),f2(a1))
% 163.96/163.64 [3303]E(f316(a94,f72(a1)),f316(a102,f2(a898)))
% 163.96/163.64 [3304]E(f307(f904(a898,a898),a26),a27)
% 163.96/163.64 [3305]E(f309(f904(a898,a898),a26),a62)
% 163.96/163.64 [3332]E(f316(f271(a898),f2(a898)),f178(f905(a898,a895)))
% 163.96/163.64 [3333]E(f316(f272(a898),f2(a898)),f231(f905(a898,a895)))
% 163.96/163.64 [3341]P39(f178(f905(a1,a895)))
% 163.96/163.64 [3375]E(f316(f316(f23(a89),f2(a89)),f72(a89)),f2(a89))
% 163.96/163.64 [3450]P107(f316(f316(f225(a1),a87),f2(a1)))
% 163.96/163.64 [3474]P107(f316(f316(f224(a1),f2(a1)),f72(a1)))
% 163.96/163.64 [3476]P107(f316(f316(f225(a1),f2(a1)),f72(a1)))
% 163.96/163.64 [3679]E(f316(f316(f278(a898,a898,a898),a306),f296(a898,a306)),a229)
% 163.96/163.64 [3716]P40(a1,a898,a94,f316(f224(a1),f2(a1)))
% 163.96/163.64 [3720]E(f316(f316(f32(a898,f905(a898,a895)),f231(f905(a898,a895))),f293(a898)),f178(f905(a898,a895)))
% 163.96/163.64 [3721]E(f316(f316(f33(a898,f905(a898,a895)),f231(f905(a898,a895))),f271(a898)),f231(f905(a898,a895)))
% 163.96/163.64 [3722]E(f316(f316(f33(a898,f905(a898,a895)),f231(f905(a898,a895))),f290(a898)),f231(f905(a898,a895)))
% 163.96/163.64 [3723]E(f316(f316(f33(a898,f905(a898,a895)),f231(f905(a898,a895))),f272(a898)),f231(f905(a898,a895)))
% 163.96/163.64 [3738]P22(a898,a1,f90(a1),f231(f905(a898,a895)))
% 163.96/163.64 [3752]P40(a898,a1,f90(a1),f316(f16(a895,a898),a177))
% 163.96/163.64 [3887]E(f316(f66(a898,a89,a1,a3),a94),f93(a89))
% 163.96/163.64 [4106]P55(a89,a898,a20,a3,f231(f905(a898,a895)))
% 163.96/163.64 [4111]P55(a1,f905(f904(a898,a898),a895),a97,a83,a88)
% 163.96/163.64 [4365]E(f247(a1,a1,a1,a1,f25(a1),f73(a1)),a44)
% 163.96/163.64 [4596]~E(f316(f93(a1),a87),f316(f93(a1),a77))
% 163.96/163.64 [4597]~P107(f316(a183,f72(a1)))
% 163.96/163.64 [4598]~P107(f316(a183,f2(a1)))
% 163.96/163.64 [4623]~P107(f316(f316(f225(a1),a77),f2(a1)))
% 163.96/163.64 [3324]E(f316(f316(f23(a1),a87),a87),a77)
% 163.96/163.64 [3339]E(f316(f90(a1),f316(a102,f2(a898))),f72(a1))
% 163.96/163.64 [3404]E(f316(f28(a901),f231(f905(a901,a895))),f72(a898))
% 163.96/163.64 [3424]P107(f316(a183,f316(f93(a1),a87)))
% 163.96/163.64 [3426]P107(f316(f316(f224(a1),a87),a77))
% 163.96/163.64 [3428]P107(f316(f316(f225(a1),a87),a77))
% 163.96/163.64 [3484]E(f316(f316(f298(a898),f2(a898)),f178(f905(a898,a895))),f316(f290(a898),f2(a898)))
% 163.96/163.64 [3539]P107(f316(f316(f224(a1),f2(a1)),f316(f93(a1),a77)))
% 163.96/163.64 [3551]E(f316(f299(a898,a898,a102),f231(f905(a898,a895))),f316(f293(a898),f2(a898)))
% 163.96/163.64 [3586]P5(f904(a898,a898),f231(f905(f904(a898,a898),a895)),a98)
% 163.96/163.64 [3894]E(f316(f66(a898,a1,a89,f90(a1)),a20),a22)
% 163.96/163.64 [3953]P36(a898,f316(f251(f904(a898,a898)),f316(f246(a898,a898,a895),f225(a898))))
% 163.96/163.64 [4614]~P107(f316(a183,f316(f93(a1),a77)))
% 163.96/163.64 [4615]~P107(f316(f316(f224(a1),a77),a87))
% 163.96/163.64 [4616]~P107(f316(f316(f225(a1),a77),a77))
% 163.96/163.64 [4617]~P107(f316(f316(f225(a1),a77),a87))
% 163.96/163.64 [4618]~P107(f316(f316(f225(a1),a87),a87))
% 163.96/163.64 [4627]~P25(a894,a907,f178(f905(f897(a894),a895)))
% 163.96/163.64 [4628]~P107(f316(f54(a898),f231(f905(a898,a895))))
% 163.96/163.64 [4629]~P107(f316(f54(a1),f231(f905(a1,a895))))
% 163.96/163.64 [4531]E(f316(f246(a1,a1,a895),f316(f316(f8(f905(a1,a895),f905(a1,a895),a1),f316(f18(a1,a895,a895),f316(f316(f8(a895,f905(a895,a895),a1),a314),f316(f225(a1),f2(a1))))),f316(f316(f7(a1,a1,f905(a1,a895)),f316(f316(f8(f905(a1,f905(a1,a895)),f905(a1,f905(a1,a895)),a1),f7(a1,a1,a895)),f316(f316(f8(f905(a1,a1),f905(a1,f905(a1,a895)),a1),f316(f8(a1,f905(a1,a895),a1),a313)),a207))),f72(a1)))),a203)
% 163.96/163.64 [3623]E(f316(f316(f23(a1),f316(f316(f74(a1),a77),a77)),a87),f316(f73(a1),a87))
% 163.96/163.64 [3661]E(f316(f316(f23(a1),f316(f316(f74(a1),a77),a77)),a87),f316(f316(f23(a1),a77),a87))
% 163.96/163.64 [3821]E(f316(f316(f53(f904(a898,a898)),f231(f905(f904(a898,a898),a895))),a98),a88)
% 163.96/163.64 [3850]E(f316(f93(a1),f316(f316(f23(a1),f316(f316(f74(a1),a77),a77)),a87)),f72(a1))
% 163.96/163.64 [3851]E(f316(f93(a89),f316(f316(f23(a1),f316(f316(f74(a1),a77),a77)),a87)),f72(a89))
% 163.96/163.64 [3852]E(f316(f93(a898),f316(f316(f23(a1),f316(f316(f74(a1),a77),a77)),a87)),f72(a898))
% 163.96/163.64 [3855]E(f316(f93(a898),f316(f316(f23(a1),f316(f316(f74(a1),a77),a77)),a87)),f316(a102,f2(a898)))
% 163.96/163.64 [4233]E(f316(f316(f100(f905(f904(f904(a898,a898),f904(a898,a898)),a895)),a26),f296(f904(a898,a898),f178(f905(f904(f904(a898,a898),f904(a898,a898)),a895)))),a64)
% 163.96/163.64 [4299]E(f316(a83,f316(f274(f904(a898,a898),f904(a898,a898),a98),f316(f316(f298(f904(a898,a898)),f316(f316(f241(a898,a898),f72(a898)),f2(a898))),f178(f905(f904(a898,a898),a895))))),f72(a1))
% 163.96/163.64 [4300]E(f316(a83,f316(f274(f904(a898,a898),f904(a898,a898),a98),f316(f316(f298(f904(a898,a898)),f316(f316(f241(a898,a898),f2(a898)),f2(a898))),f178(f905(f904(a898,a898),a895))))),f2(a1))
% 163.96/163.64 [4313]E(f316(f251(f904(a898,a898)),f316(f246(a898,a898,a895),f316(f316(f8(a898,f905(a898,a895),a898),f316(f7(a898,a898,a895),a313)),a102))),a306)
% 163.96/163.64 [4285]E(f316(f93(a898),f316(f316(f74(a1),f316(f316(f23(a1),f316(f316(f74(a1),a77),a77)),a87)),f316(f316(f23(a1),f316(f316(f74(a1),a77),a77)),a87))),f316(a102,f316(a102,f2(a898))))
% 163.96/163.64 [4288]E(f316(f93(a898),f316(f316(f74(a1),f316(f316(f23(a1),f316(f316(f74(a1),a77),a77)),a87)),f316(f316(f23(a1),f316(f316(f74(a1),a77),a77)),a87))),f316(f316(f74(a898),f72(a898)),f72(a898)))
% 163.96/163.64 [4289]E(f316(f93(a898),f316(f316(f74(a1),f316(f316(f23(a1),f316(f316(f74(a1),a77),a77)),a87)),f316(f316(f23(a1),f316(f316(f74(a1),a77),a77)),a87))),f316(f28(a895),f231(f905(a895,a895))))
% 163.96/163.64 [4352]P3(f316(f93(a1),f316(f316(f74(a1),f316(f316(f23(a1),f316(f316(f74(a1),a77),a77)),a87)),f316(f316(f23(a1),f316(f316(f74(a1),a77),a77)),a87))))
% 163.96/163.64 [4421]P24(f905(f904(a898,a898),a895),f316(f316(f241(f905(f904(f905(f904(a898,a898),a895),f905(f904(a898,a898),a895)),a895),f905(f904(f905(f904(a898,a898),a895),f905(f904(a898,a898),a895)),a895)),a27),a63))
% 163.96/163.64 [4422]P24(f905(f904(a898,a898),a895),f316(f316(f241(f905(f904(f905(f904(a898,a898),a895),f905(f904(a898,a898),a895)),a895),f905(f904(f905(f904(a898,a898),a895),f905(f904(a898,a898),a895)),a895)),a62),a65))
% 163.96/163.64 [4462]E(f316(f316(f100(f905(f904(f905(f904(a898,a898),a895),f905(f904(a898,a898),a895)),a895)),f309(f904(a898,a898),a64)),f316(f316(f298(f904(f905(f904(a898,a898),a895),f905(f904(a898,a898),a895))),f316(f316(f241(f905(f904(a898,a898),a895),f905(f904(a898,a898),a895)),f178(f905(f904(a898,a898),a895))),f178(f905(f904(a898,a898),a895)))),f178(f905(f904(f905(f904(a898,a898),a895),f905(f904(a898,a898),a895)),a895)))),a65)
% 163.96/163.64 [4463]E(f316(f316(f100(f905(f904(f905(f904(a898,a898),a895),f905(f904(a898,a898),a895)),a895)),f307(f904(a898,a898),a64)),f316(f316(f298(f904(f905(f904(a898,a898),a895),f905(f904(a898,a898),a895))),f316(f316(f241(f905(f904(a898,a898),a895),f905(f904(a898,a898),a895)),f178(f905(f904(a898,a898),a895))),f178(f905(f904(a898,a898),a895)))),f178(f905(f904(f905(f904(a898,a898),a895),f905(f904(a898,a898),a895)),a895)))),a63)
% 163.96/163.64 [4354]E(f316(a94,f316(f93(a1),f316(f316(f74(a1),f316(f316(f23(a1),f316(f316(f74(a1),a77),a77)),a87)),f316(f316(f23(a1),f316(f316(f74(a1),a77),a77)),a87)))),f316(a102,f316(a102,f2(a898))))
% 163.96/163.64 [4399]E(f316(f90(a1),f316(f93(a898),f316(f316(f74(a1),f316(f316(f23(a1),f316(f316(f74(a1),a77),a77)),a87)),f316(f316(f23(a1),f316(f316(f74(a1),a77),a77)),a87)))),f316(f93(a1),f316(f316(f74(a1),f316(f316(f23(a1),f316(f316(f74(a1),a77),a77)),a87)),f316(f316(f23(a1),f316(f316(f74(a1),a77),a77)),a87))))
% 163.96/163.64 [4432]P107(f316(f316(f224(a1),f2(a1)),f316(f93(a1),f316(f316(f74(a1),f316(f316(f23(a1),f316(f316(f74(a1),a77),a77)),a87)),f316(f316(f23(a1),f316(f316(f74(a1),a77),a77)),a87)))))
% 163.96/163.64 [4433]E(f316(f93(a898),f316(f316(f23(a1),f316(f316(f74(a1),f316(f316(f23(a1),f316(f316(f74(a1),a77),a77)),a87)),f316(f316(f23(a1),f316(f316(f74(a1),a77),a77)),a87))),a87)),f316(a102,f316(a102,f316(a102,f2(a898)))))
% 163.96/163.64 [4477]P3(f316(f93(a1),f316(f316(f23(a1),f316(f316(f74(a1),f316(f316(f23(a1),f316(f316(f74(a1),a77),a77)),a87)),f316(f316(f23(a1),f316(f316(f74(a1),a77),a77)),a87))),a87)))
% 163.96/163.64 [4503]E(f316(f90(a1),f316(f93(a898),f316(f316(f23(a1),f316(f316(f74(a1),f316(f316(f23(a1),f316(f316(f74(a1),a77),a77)),a87)),f316(f316(f23(a1),f316(f316(f74(a1),a77),a77)),a87))),a87))),f316(f93(a1),f316(f316(f23(a1),f316(f316(f74(a1),f316(f316(f23(a1),f316(f316(f74(a1),a77),a77)),a87)),f316(f316(f23(a1),f316(f316(f74(a1),a77),a77)),a87))),a87)))
% 163.96/163.64 [4516]P107(f316(f316(f224(a1),f2(a1)),f316(f93(a1),f316(f316(f23(a1),f316(f316(f74(a1),f316(f316(f23(a1),f316(f316(f74(a1),a77),a77)),a87)),f316(f316(f23(a1),f316(f316(f74(a1),a77),a77)),a87))),a87))))
% 163.96/163.64 [3261]P4(x32611,a313)
% 163.96/163.64 [3649]P22(a898,a898,a102,x36491)
% 163.96/163.64 [3254]P106(f897(x32541))
% 163.96/163.64 [3255]P106(f902(x32551))
% 163.96/163.64 [3256]P106(f899(x32561))
% 163.96/163.64 [3257]P106(f900(x32571))
% 163.96/163.64 [3277]P36(a1,f95(x32771))
% 163.96/163.64 [3278]P36(a1,f96(x32781))
% 163.96/163.64 [3328]P36(f905(x33281,a895),f303(x33281))
% 163.96/163.64 [3329]P37(f905(x33291,a895),f303(x33291))
% 163.96/163.64 [3353]E(f232(x33531,x33531,a313),a313)
% 163.96/163.64 [3368]E(f38(a1,x33681,x33681),f2(a1))
% 163.96/163.64 [3421]P11(x34211,f905(x34211,a895),f298(x34211))
% 163.96/163.64 [4589]~E(f316(a102,x45891),x45891)
% 163.96/163.64 [4595]~E(f316(a102,x45951),f2(a898))
% 163.96/163.64 [3263]E(f316(f179(a898),x32631),x32631)
% 163.96/163.64 [3264]E(f316(f93(a1),x32641),x32641)
% 163.96/163.64 [3279]E(f316(a83,f317(x32791)),x32791)
% 163.96/163.64 [3280]E(f316(a3,f569(x32801)),x32801)
% 163.96/163.64 [3281]E(f230(x32811,f2(a89)),f2(a89))
% 163.96/163.64 [3294]E(f104(x32941,f103(x32941)),f103(x32941))
% 163.96/163.64 [3295]E(f142(x32951,f103(x32951)),f103(x32951))
% 163.96/163.64 [3300]E(f316(f157(x33001),f103(x33001)),f103(x33001))
% 163.96/163.64 [3301]E(f316(f161(x33011),f103(x33011)),f103(x33011))
% 163.96/163.64 [3302]E(f316(f158(x33021),f103(x33021)),f103(x33021))
% 163.96/163.64 [3307]E(f316(f93(a1),x33071),f316(f92(a1),x33071))
% 163.96/163.64 [3308]E(f316(a83,f316(a97,x33081)),x33081)
% 163.96/163.64 [3310]E(f316(a3,f316(a20,x33101)),x33101)
% 163.96/163.64 [3311]E(f316(a20,f316(a3,x33111)),x33111)
% 163.96/163.64 [3313]P3(f316(f90(a1),x33131))
% 163.96/163.64 [3322]E(f316(f179(f899(x33221)),f103(x33221)),f2(a898))
% 163.96/163.64 [3323]E(f316(f179(f900(x33231)),f109(x33231)),f2(a898))
% 163.96/163.64 [3344]E(f316(f316(f23(a898),x33441),f2(a898)),x33441)
% 163.96/163.64 [3345]E(f316(f316(f75(a898),x33451),f72(a898)),x33451)
% 163.96/163.64 [3346]E(f316(f316(f75(a1),x33461),f72(a1)),x33461)
% 163.96/163.64 [3347]E(f316(f316(f74(a898),x33471),f2(a898)),x33471)
% 163.96/163.64 [3348]E(f316(f316(f74(a1),x33481),f2(a1)),x33481)
% 163.96/163.64 [3349]E(f316(f316(f223(a898),x33491),f2(a898)),x33491)
% 163.96/163.64 [3350]E(f316(f316(f75(a898),x33501),f2(a898)),f2(a898))
% 163.96/163.64 [3351]E(f316(f316(f222(a898),x33511),f2(a898)),f2(a898))
% 163.96/163.64 [3352]E(f316(f316(f29(a1),x33521),f2(a1)),f2(a1))
% 163.96/163.64 [3359]E(f316(f162(x33591),f103(x33591)),f178(f905(x33591,a895)))
% 163.96/163.64 [3363]P107(f316(f127(x33631),f103(x33631)))
% 163.96/163.64 [3369]E(f316(f144(x33691,x33691),f5(x33691)),f25(f899(x33691)))
% 163.96/163.64 [3370]E(f316(f144(x33701,x33701),f25(x33701)),f25(f899(x33701)))
% 163.96/163.64 [3371]E(f38(a1,x33711,f2(a1)),x33711)
% 163.96/163.64 [3372]E(f316(f224(a898),f316(a102,x33721)),f316(f225(a898),x33721))
% 163.96/163.64 [3373]E(f316(f271(a898),f316(a102,x33731)),f316(f290(a898),x33731))
% 163.96/163.64 [3374]E(f316(f272(a898),f316(a102,x33741)),f316(f293(a898),x33741))
% 163.96/163.64 [3376]E(f38(a1,f2(a1),x33761),f2(a1))
% 163.96/163.64 [3389]E(f316(f316(f74(a898),x33891),f72(a898)),f316(a102,x33891))
% 163.96/163.64 [3398]E(f316(f291(a898,x33981),f2(a898)),f178(f905(a898,a895)))
% 163.96/163.64 [3410]E(f292(a898,f2(a898),x34101),f316(f290(a898),x34101))
% 163.96/163.64 [3453]E(f316(f316(f23(a898),f316(a102,x34531)),f72(a898)),x34531)
% 163.96/163.64 [3465]E(f40(f2(a1),x34651),f316(f316(f241(a1,a1),f2(a1)),f2(a1)))
% 163.96/163.64 [3514]P107(f316(f316(f225(a898),x35141),f316(a102,x35141)))
% 163.96/163.64 [3526]P107(f316(f316(f225(a898),f2(a898)),f316(a102,x35261)))
% 163.96/163.64 [3751]E(f85(x37511,x37511,f231(f905(x37511,a895)),f25(x37511)),f25(x37511))
% 163.96/163.64 [3808]E(f316(f316(f23(a89),f316(a3,f316(a102,f316(a20,x38081)))),f72(a89)),x38081)
% 163.96/163.64 [3878]P107(f316(f316(f224(a1),f316(f73(a1),f316(f90(a1),x38781))),f2(a1)))
% 163.96/163.64 [4021]P107(f316(f316(f225(a1),f316(f73(a1),f316(f90(a1),f316(a102,x40211)))),f2(a1)))
% 163.96/163.64 [4603]~E(f231(f905(x46031,a895)),f178(f905(x46031,a895)))
% 163.96/163.64 [4626]~P107(f316(f316(f225(a898),x46261),f2(a898)))
% 163.96/163.64 [4638]~P107(f316(f316(f225(a1),f316(f90(a1),x46381)),f2(a1)))
% 163.96/163.64 [3312]E(f110(x33121,f109(f900(x33121))),f109(x33121))
% 163.96/163.64 [3327]E(f169(x33271,f103(f899(x33271))),f103(f899(x33271)))
% 163.96/163.64 [3330]E(f316(f316(f75(a1),a77),x33301),a77)
% 163.96/163.64 [3331]E(f316(f316(f74(a1),a77),x33311),x33311)
% 163.96/163.64 [3334]E(f316(a94,f316(f90(a1),x33341)),x33341)
% 163.96/163.64 [3335]E(f316(f316(f23(a1),x33351),a77),x33351)
% 163.96/163.64 [3336]E(f316(f316(f74(a1),x33361),a77),x33361)
% 163.96/163.64 [3338]E(f316(f316(f23(a898),x33381),x33381),f2(a898))
% 163.96/163.64 [3342]E(f316(f73(a1),f316(f73(a1),x33421)),x33421)
% 163.96/163.64 [3343]E(f316(f28(a898),f316(f271(a898),x33431)),x33431)
% 163.96/163.64 [3354]E(f316(f316(f75(a898),f72(a898)),x33541),x33541)
% 163.96/163.64 [3355]E(f316(f316(f75(a1),f72(a1)),x33551),x33551)
% 163.96/163.64 [3356]E(f316(f316(f74(a898),f2(a898)),x33561),x33561)
% 163.96/163.64 [3357]E(f316(f316(f74(a1),f2(a1)),x33571),x33571)
% 163.96/163.64 [3358]E(f316(f316(f223(a898),f2(a898)),x33581),x33581)
% 163.96/163.64 [3364]E(f316(f316(f23(a898),f2(a898)),x33641),f2(a898))
% 163.96/163.64 [3365]E(f316(f316(f75(a898),f2(a898)),x33651),f2(a898))
% 163.96/163.64 [3366]E(f316(f316(f222(a898),f2(a898)),x33661),f2(a898))
% 163.96/163.64 [3367]E(f316(f316(f29(a1),f2(a1)),x33671),f2(a1))
% 163.96/163.64 [3377]E(f118(x33771,f316(f73(a1),x33771)),f122(a1,x33771))
% 163.96/163.64 [3382]E(f316(f291(a898,f2(a898)),x33821),f316(f271(a898),x33821))
% 163.96/163.64 [3383]E(f316(f316(f75(a1),a87),x33831),f316(f73(a1),x33831))
% 163.96/163.64 [3391]E(f316(a94,f316(f93(a1),x33911)),f316(f93(a898),x33911))
% 163.96/163.64 [3392]E(f316(a20,f316(f93(a89),x33921)),f316(f93(a898),x33921))
% 163.96/163.64 [3393]E(f316(f28(a898),f316(f290(a898),x33931)),f316(a102,x33931))
% 163.96/163.64 [3402]E(f316(f316(f74(a898),f72(a898)),x34021),f316(a102,x34021))
% 163.96/163.64 [3406]E(f316(f92(a1),f316(f90(a1),x34061)),f316(f90(a1),x34061))
% 163.96/163.64 [3407]E(f316(f69(a1),f316(f90(a1),x34071)),f316(f90(a1),x34071))
% 163.96/163.64 [3411]E(f316(f28(x34111),f178(f905(x34111,a895))),f2(a898))
% 163.96/163.64 [3413]E(f316(f316(f29(a898),x34131),f316(a102,f2(a898))),x34131)
% 163.96/163.64 [3422]E(f38(a898,x34221,f316(a102,f2(a898))),f2(a898))
% 163.96/163.64 [3423]E(f38(a1,x34231,f316(f93(a1),a87)),f2(a1))
% 163.96/163.64 [3437]E(f316(f316(f29(a1),x34371),f316(f93(a1),a87)),f316(f73(a1),x34371))
% 163.96/163.64 [3441]E(f129(a898,f316(f291(a898,x34411),f2(a898))),f103(a898))
% 163.96/163.64 [3442]E(f316(f316(f74(a1),x34421),f72(a1)),f316(f316(f23(a1),x34421),a87))
% 163.96/163.64 [3443]E(f316(f316(f23(a1),x34431),f72(a1)),f316(f316(f74(a1),x34431),a87))
% 163.96/163.64 [3447]P107(f316(f316(f224(a898),x34471),x34471))
% 163.96/163.64 [3448]P107(f316(f316(f224(a1),x34481),x34481))
% 163.96/163.64 [3449]P107(f316(f316(f276(a898),x34491),x34491))
% 163.96/163.64 [3454]E(f316(f73(a1),f316(f93(a1),x34541)),f316(f93(a1),f316(f73(a1),x34541)))
% 163.96/163.64 [3455]P107(f316(f54(a898),f316(f271(a898),x34551)))
% 163.96/163.64 [3456]P107(f316(f54(a898),f316(f290(a898),x34561)))
% 163.96/163.64 [3463]E(f151(x34631,f231(f905(x34631,a895))),f231(f905(f899(x34631),a895)))
% 163.96/163.64 [3468]P107(f316(f316(f224(a898),f2(a898)),x34681))
% 163.96/163.64 [3478]E(f316(f316(f74(a898),f101(x34781)),f316(a102,f2(a898))),f101(f316(a102,x34781)))
% 163.96/163.64 [3479]E(f316(f251(x34791),f316(f16(a895,x34791),a228)),f178(f905(x34791,a895)))
% 163.96/163.64 [3480]E(f316(f251(x34801),f316(f16(a895,x34801),a177)),f231(f905(x34801,a895)))
% 163.96/163.64 [3483]E(f316(f316(f298(a898),x34831),f316(f271(a898),x34831)),f316(f271(a898),f316(a102,x34831)))
% 163.96/163.64 [3495]E(f316(f316(f74(a1),f72(a1)),f316(f90(a1),x34951)),f316(f90(a1),f316(a102,x34951)))
% 163.96/163.64 [3497]E(f316(f316(f141(f899(x34971)),f103(x34971)),f103(f899(x34971))),f47(x34971,f103(x34971)))
% 163.96/163.64 [3517]E(f178(f905(f904(x35171,x35171),a895)),f252(x35171,f178(f905(x35171,a895))))
% 163.96/163.64 [3518]E(f316(f297(x35181),f231(f905(x35181,a895))),f231(f905(f905(x35181,a895),a895)))
% 163.96/163.64 [3519]E(f316(f73(f905(x35191,a895)),f178(f905(x35191,a895))),f231(f905(x35191,a895)))
% 163.96/163.64 [3520]E(f316(f73(f905(x35201,a895)),f231(f905(x35201,a895))),f178(f905(x35201,a895)))
% 163.96/163.64 [3522]P107(f316(f54(x35221),f178(f905(x35221,a895))))
% 163.96/163.64 [3524]E(f316(f291(a898,x35241),f316(a102,x35241)),f316(f316(f298(a898),x35241),f178(f905(a898,a895))))
% 163.96/163.64 [3525]E(f79(f904(a898,a898),f41(x35251,f2(a898))),f316(f316(f241(a898,a898),f2(a898)),x35251))
% 163.96/163.64 [3538]E(f316(f316(f298(a898),f316(a102,x35381)),f316(f290(a898),x35381)),f316(f290(a898),f316(a102,x35381)))
% 163.96/163.64 [3542]P36(x35421,f178(f905(f904(x35421,x35421),a895)))
% 163.96/163.64 [3543]P38(x35431,f178(f905(f904(x35431,x35431),a895)))
% 163.96/163.64 [3546]P107(f316(f316(f224(a1),f2(a1)),f316(f90(a1),x35461)))
% 163.96/163.64 [3553]E(f316(f316(f74(a898),f316(f179(a898),x35531)),f316(a102,f2(a898))),f316(f179(a898),f316(a102,x35531)))
% 163.96/163.64 [3656]P39(f316(f299(a898,a1,f90(a1)),x36561))
% 163.96/163.64 [3694]P52(x36941,f178(f905(x36941,a895)),f178(f905(f904(x36941,x36941),a895)))
% 163.96/163.64 [3712]E(f316(f316(f241(a1,a1),f316(f93(a1),a87)),f316(f316(f23(a1),x37121),f72(a1))),f43(f316(f93(a1),a87),x37121))
% 163.96/163.64 [3764]P58(x37641,f316(f16(f905(x37641,a895),x37641),f316(f16(a895,x37641),a228)))
% 163.96/163.64 [3776]E(f279(a898,f276(a898),x37761,x37761),f316(f316(f298(a898),x37761),f178(f905(a898,a895))))
% 163.96/163.64 [3965]P107(f316(f316(f318(f905(f904(a898,a898),a895)),f317(x39651)),a88))
% 163.96/163.64 [3990]P107(f316(f316(f318(f905(f904(a898,a898),a895)),f316(a97,x39901)),a88))
% 163.96/163.64 [4120]P22(x41201,f905(x41201,a895),f316(f316(f7(x41201,f905(x41201,a895),f905(x41201,a895)),f298(x41201)),f178(f905(x41201,a895))),f231(f905(x41201,a895)))
% 163.96/163.64 [4600]~E(f316(f316(f74(a1),x46001),x46001),a87)
% 163.96/163.64 [4613]~E(f316(a3,f316(a102,f316(a20,x46131))),f2(a89))
% 163.96/163.64 [4619]~P107(f316(a183,f316(f90(a1),x46191)))
% 163.96/163.64 [4622]~P107(f316(f316(f225(a898),x46221),x46221))
% 163.96/163.64 [4631]~P107(f316(f316(f224(a898),f316(a102,x46311)),x46311))
% 163.96/163.64 [3470]E(f316(a94,f316(f73(a1),f316(f90(a1),x34701))),f2(a898))
% 163.96/163.64 [3473]E(f316(f316(f74(a1),f316(f73(a1),x34731)),x34731),f2(a1))
% 163.96/163.64 [3477]E(f316(f28(a1),f316(f291(a1,f2(a1)),x34771)),f316(a94,x34771))
% 163.96/163.64 [3488]E(f316(f316(f233(a898),f316(a102,f2(a898))),x34881),f316(a102,f2(a898)))
% 163.96/163.64 [3583]E(f316(f270(x35831),f178(f905(f904(x35831,x35831),a895))),f178(f905(x35831,a895)))
% 163.96/163.64 [3591]E(f30(f905(x35911,a895),f178(f905(f905(x35911,a895),a895))),f178(f905(x35911,a895)))
% 163.96/163.64 [3592]E(f30(f905(x35921,a895),f231(f905(f905(x35921,a895),a895))),f231(f905(x35921,a895)))
% 163.96/163.64 [3593]E(f31(f905(x35931,a895),f178(f905(f905(x35931,a895),a895))),f231(f905(x35931,a895)))
% 163.96/163.64 [3594]E(f31(f905(x35941,a895),f231(f905(f905(x35941,a895),a895))),f178(f905(x35941,a895)))
% 163.96/163.64 [3598]P107(f316(f316(f276(a898),f316(a102,f2(a898))),x35981))
% 163.96/163.64 [3639]E(f316(f316(f298(f899(x36391)),f103(x36391)),f178(f905(f899(x36391),a895))),f151(x36391,f178(f905(x36391,a895))))
% 163.96/163.64 [3640]E(f316(f316(f298(f899(x36401)),f103(x36401)),f178(f905(f899(x36401),a895))),f152(x36401,f103(f905(x36401,a895))))
% 163.96/163.64 [3678]E(f316(f316(f74(a898),f4(x36781)),f316(a102,f2(a898))),f4(f316(a3,f316(a102,f316(a20,x36781)))))
% 163.96/163.64 [3703]E(f316(f28(a1),f316(f299(a898,a1,f90(a1)),x37031)),f316(f28(a898),x37031))
% 163.96/163.64 [3704]P107(f316(f316(f224(a898),x37041),f316(f316(f75(a898),x37041),x37041)))
% 163.96/163.64 [3742]E(f316(f299(a1,a898,a94),f292(a1,f2(a1),f316(f90(a1),x37421))),f316(f290(a898),x37421))
% 163.96/163.64 [3759]E(f316(f316(f29(a898),f316(a102,f2(a898))),f316(f93(a898),x37591)),f316(a94,f316(f316(f29(a1),f72(a1)),f316(f93(a1),x37591))))
% 163.96/163.64 [3761]E(f316(f162(a898),f129(a898,f316(f291(a898,f2(a898)),f316(a102,x37611)))),f316(f290(a898),x37611))
% 163.96/163.64 [3762]E(f316(f316(f74(a898),f316(f179(a89),x37621)),f316(a102,f2(a898))),f316(f179(a89),f316(a3,f316(a102,f316(a20,x37621)))))
% 163.96/163.64 [3782]P38(x37821,f296(x37821,f178(f905(f904(x37821,x37821),a895))))
% 163.96/163.64 [3783]P50(x37831,f296(x37831,f178(f905(f904(x37831,x37831),a895))))
% 163.96/163.64 [3784]E(f316(f299(a1,a898,a94),f316(f299(a898,a1,f90(a1)),x37841)),x37841)
% 163.96/163.64 [3814]E(f316(f316(f298(a898),f2(a898)),f316(f299(a898,a898,a102),f316(f271(a898),x38141))),f316(f271(a898),f316(a102,x38141)))
% 163.96/163.64 [3820]P51(x38201,x38201,f296(x38201,f178(f905(f904(x38201,x38201),a895))))
% 163.96/163.64 [3826]P107(f316(a183,f316(f73(a1),f316(f90(a1),f316(a102,x38261)))))
% 163.96/163.64 [3836]E(f316(f316(f23(f905(a898,a895)),f316(f272(a898),x38361)),f316(f316(f298(a898),x38361),f178(f905(a898,a895)))),f316(f272(a898),f316(a102,x38361)))
% 163.96/163.64 [3853]E(f316(f316(f74(a1),f316(f316(f23(a1),a77),x38531)),f316(f316(f23(a1),a77),x38531)),f316(f316(f23(a1),a77),f316(f316(f74(a1),x38531),x38531)))
% 163.96/163.64 [3867]E(f316(f316(f298(f905(x38671,a895)),f178(f905(x38671,a895))),f178(f905(f905(x38671,a895),a895))),f316(f297(x38671),f178(f905(x38671,a895))))
% 163.96/163.64 [3895]E(f316(f316(f23(f905(a898,a895)),f316(f293(a898),x38951)),f316(f316(f298(a898),f316(a102,x38951)),f178(f905(a898,a895)))),f316(f293(a898),f316(a102,x38951)))
% 163.96/163.64 [4002]E(f316(f93(a898),f316(f316(f74(a1),x40021),x40021)),f316(f316(f80(a898,a898),f316(f93(a898),x40021)),f316(f316(f18(a898,a898,a898),f74(a898)),f5(a898))))
% 163.96/163.64 [4374]P11(x43741,f905(x43741,a895),f316(f316(f8(f905(x43741,a895),f905(f905(x43741,a895),f905(x43741,a895)),x43741),f316(f7(f905(x43741,a895),f905(x43741,a895),f905(x43741,a895)),f23(f905(x43741,a895)))),f316(f316(f7(x43741,f905(x43741,a895),f905(x43741,a895)),f298(x43741)),f178(f905(x43741,a895)))))
% 163.96/163.64 [4461]E(f316(f251(f904(a1,a1)),f316(f246(a1,a1,a895),f316(f316(f8(f905(a1,a895),f905(a1,a895),a1),f316(f18(a1,a895,a895),f316(f316(f8(a895,f905(a895,a895),a1),a314),f316(f224(a1),x44611)))),f225(a1)))),f95(x44611))
% 163.96/163.64 [4494]E(f316(f251(f904(a1,a1)),f316(f246(a1,a1,a895),f316(f316(f18(a1,f905(a1,a895),f905(a1,a895)),f316(f316(f8(f905(a895,a895),f905(f905(a1,a895),f905(a1,a895)),a1),f8(a895,a895,a1)),f316(f316(f8(a895,f905(a895,a895),a1),a314),f316(f224(a1),x44941)))),f225(a1)))),f96(x44941))
% 163.96/163.64 [4547]E(f316(f251(f904(f905(x45471,a895),f905(x45471,a895))),f316(f246(f905(x45471,a895),f905(x45471,a895),a895),f316(f316(f7(f905(x45471,a895),f905(f905(x45471,a895),a895),f905(f905(x45471,a895),a895)),f316(f316(f8(f905(f905(x45471,a895),f905(a895,a895)),f905(f905(f905(x45471,a895),a895),f905(f905(x45471,a895),a895)),f905(x45471,a895)),f18(f905(x45471,a895),a895,a895)),f316(f316(f8(f905(f905(x45471,a895),a895),f905(f905(x45471,a895),f905(a895,a895)),f905(x45471,a895)),f316(f8(a895,f905(a895,a895),f905(x45471,a895)),a314)),f225(f905(x45471,a895))))),f54(x45471)))),f303(x45471))
% 163.96/163.64 [4635]~P107(f316(f54(f899(x46351)),f231(f905(f899(x46351),a895))))
% 163.96/163.64 [4647]~P107(f316(f316(f224(a1),f2(a1)),f316(f73(a1),f316(f90(a1),f316(a102,x46471)))))
% 163.96/163.64 [3618]E(f316(f316(f23(a1),f316(f316(f74(a1),x36181),a87)),a87),x36181)
% 163.96/163.64 [3632]E(f316(f162(a898),f129(a898,f316(f291(a898,f2(a898)),x36321))),f316(f271(a898),x36321))
% 163.96/163.64 [3874]E(f316(f316(f74(a1),f316(f316(f74(a1),f72(a1)),x38741)),x38741),f316(f316(f23(a1),f316(f316(f74(a1),x38741),x38741)),a87))
% 163.96/163.64 [3922]E(f316(f275(x39221,x39221),f296(x39221,f178(f905(f904(x39221,x39221),a895)))),f296(x39221,f178(f905(f904(x39221,x39221),a895))))
% 163.96/163.64 [3968]P107(f316(f316(f224(a898),x39681),f316(f316(f75(a898),x39681),f316(f316(f75(a898),x39681),x39681))))
% 163.96/163.64 [4237]P107(f316(f54(a898),f316(f251(a898),f316(f316(f7(a898,a898,a895),f224(a898)),x42371))))
% 163.96/163.64 [4238]P107(f316(f54(a898),f316(f251(a898),f316(f316(f7(a898,a898,a895),f225(a898)),x42381))))
% 163.96/163.64 [4510]E(f316(f251(f904(x45101,x45101)),f316(f316(f8(f905(x45101,a895),a895,f904(x45101,x45101)),f81(x45101)),f316(f316(f7(f904(x45101,x45101),f905(x45101,f904(x45101,x45101)),f905(x45101,a895)),f316(f316(f8(f905(f904(x45101,x45101),a895),f905(f905(x45101,f904(x45101,x45101)),f905(x45101,a895)),f904(x45101,x45101)),f8(f904(x45101,x45101),a895,x45101)),a313)),f316(f316(f18(x45101,x45101,f904(x45101,x45101)),f241(x45101,x45101)),f5(x45101))))),f296(x45101,f178(f905(f904(x45101,x45101),a895))))
% 163.96/163.64 [4637]~E(f316(f316(f23(a1),f316(f316(f74(a1),x46371),x46371)),a87),a77)
% 163.96/163.64 [4639]~E(f316(f316(f74(a1),f316(f316(f74(a1),f72(a1)),x46391)),x46391),f2(a1))
% 163.96/163.64 [4012]E(f316(f316(f74(a1),f316(f316(f23(a1),a87),x40121)),f316(f316(f23(a1),a87),x40121)),f316(f316(f23(a1),a87),f316(f316(f23(a1),f316(f316(f74(a1),x40121),x40121)),a87)))
% 163.96/163.64 [4128]E(f316(f316(f23(a1),f316(f316(f74(a1),f316(f316(f23(a1),a87),x41281)),f316(f316(f23(a1),a87),x41281))),a87),f316(f316(f23(a1),a87),f316(f316(f74(a1),x41281),x41281)))
% 163.96/163.64 [4160]E(f316(f316(f23(a1),f316(f316(f74(a1),f316(f316(f74(a1),x41601),a87)),f316(f316(f74(a1),x41601),a87))),a87),f316(f316(f74(a1),f316(f316(f74(a1),x41601),x41601)),a87))
% 163.96/163.64 [4198]E(f316(f316(f23(a1),f316(f316(f74(a1),f316(f316(f23(a1),a87),x41981)),f316(f316(f23(a1),a87),x41981))),a87),f316(f316(f23(a1),a77),f316(f316(f23(a1),f316(f316(f74(a1),x41981),x41981)),a87)))
% 163.96/163.64 [4295]E(f316(a83,f316(f274(f904(a898,a898),f904(a898,a898),a98),f316(f316(f298(f904(a898,a898)),f316(f316(f241(a898,a898),x42951),f2(a898))),f178(f905(f904(a898,a898),a895))))),f316(f90(a1),x42951))
% 163.96/163.64 [4305]E(f316(a83,f316(f274(f904(a898,a898),f904(a898,a898),a98),f316(f316(f298(f904(a898,a898)),f316(f316(f241(a898,a898),f399(x43051)),f413(x43051))),f178(f905(f904(a898,a898),a895))))),x43051)
% 163.96/163.64 [4338]E(f316(f251(a1),f316(f316(f18(a1,a895,a895),f316(f316(f8(a895,f905(a895,a895),a1),a314),f316(f224(a1),f2(a1)))),x43381)),f316(f299(a898,a1,f90(a1)),f316(f251(a898),f316(f316(f8(a1,a895,a898),x43381),f90(a1)))))
% 163.96/163.64 [4382]P39(f316(f251(a1),f316(f316(f18(a1,a895,a895),f316(f316(f8(a895,f905(a895,a895),a1),a314),f316(f224(a1),f2(a1)))),x43821)))
% 163.96/163.64 [4402]P107(f316(f316(f318(f904(f905(f904(a898,a898),a895),f905(f904(a898,a898),a895))),f316(f316(f241(f905(f904(a898,a898),a895),f905(f904(a898,a898),a895)),x44021),f178(f905(f904(a898,a898),a895)))),a65))
% 163.96/163.64 [4407]E(f316(f299(a1,a898,a94),f316(f251(a1),f316(f316(f18(a1,a895,a895),f316(f316(f8(a895,f905(a895,a895),a1),a314),f316(f224(a1),f2(a1)))),f316(f316(f8(a898,a895,a1),x44071),a94)))),f316(f251(a898),x44071))
% 163.96/163.64 [4562]E(f301(a898,f316(f316(f33(f904(a898,a898),f905(a898,a895)),f316(a97,x45621)),f316(f246(a898,a898,f905(a898,a895)),f316(f316(f7(a898,f905(a898,a895),f905(a898,f905(a898,a895))),f316(f316(f8(f905(a898,f905(f905(a898,a895),f905(a898,a895))),f905(f905(a898,a895),f905(a898,f905(a898,a895))),a898),f7(a898,f905(a898,a895),f905(a898,a895))),f316(f316(f8(f905(a898,a898),f905(a898,f905(f905(a898,a895),f905(a898,a895))),a898),f316(f8(a898,f905(f905(a898,a895),f905(a898,a895)),a898),f298(a898))),f23(a898)))),f178(f905(a898,a895)))))),f316(a94,x45621))
% 163.96/163.64 [4057]E(f316(f316(f74(a1),f316(f316(f23(a1),f316(f316(f74(a1),x40571),x40571)),a87)),a87),f316(f316(f74(a1),x40571),x40571))
% 163.96/163.64 [4107]E(f316(f316(f23(a1),f316(f316(f23(a1),f316(f316(f74(a1),x41071),x41071)),a87)),a87),f316(f316(f74(a1),f316(f316(f23(a1),x41071),a87)),f316(f316(f23(a1),x41071),a87)))
% 163.96/163.64 [4311]E(f316(f316(f23(a1),f316(f316(f74(a1),f316(f316(f74(a1),f316(f73(a1),x43111)),a87)),f316(f316(f74(a1),f316(f73(a1),x43111)),a87))),a87),f316(f73(a1),f316(f316(f23(a1),f316(f316(f74(a1),x43111),x43111)),a87)))
% 163.96/163.64 [4355]E(f316(f316(f74(a898),x43551),f316(f93(a898),f316(f316(f74(a1),f316(f316(f23(a1),f316(f316(f74(a1),a77),a77)),a87)),f316(f316(f23(a1),f316(f316(f74(a1),a77),a77)),a87)))),f316(a102,f316(a102,x43551)))
% 163.96/163.64 [4356]E(f316(f316(f75(a898),x43561),f316(f93(a898),f316(f316(f74(a1),f316(f316(f23(a1),f316(f316(f74(a1),a77),a77)),a87)),f316(f316(f23(a1),f316(f316(f74(a1),a77),a77)),a87)))),f316(f316(f74(a898),x43561),x43561))
% 163.96/163.64 [4357]E(f316(f316(f29(a898),f316(f316(f74(a898),x43571),x43571)),f316(f93(a898),f316(f316(f74(a1),f316(f316(f23(a1),f316(f316(f74(a1),a77),a77)),a87)),f316(f316(f23(a1),f316(f316(f74(a1),a77),a77)),a87)))),x43571)
% 163.96/163.64 [4435]E(f38(a898,f316(a102,f316(a102,x44351)),f316(f93(a898),f316(f316(f74(a1),f316(f316(f23(a1),f316(f316(f74(a1),a77),a77)),a87)),f316(f316(f23(a1),f316(f316(f74(a1),a77),a77)),a87)))),f38(a898,x44351,f316(f93(a898),f316(f316(f74(a1),f316(f316(f23(a1),f316(f316(f74(a1),a77),a77)),a87)),f316(f316(f23(a1),f316(f316(f74(a1),a77),a77)),a87)))))
% 163.96/163.64 [4576]E(f316(a83,f316(f316(f33(f904(a898,a898),f905(f904(a898,a898),a895)),f316(a97,x45761)),f316(f246(a898,a898,f905(f904(a898,a898),a895)),f316(f316(f8(f905(a898,f905(f904(a898,a898),a895)),f905(a898,f905(f904(a898,a898),a895)),a898),f316(f8(f905(f904(a898,a898),a895),f905(f904(a898,a898),a895),a898),f274(f904(a898,a898),f904(a898,a898),a98))),f316(f316(f7(a898,f905(f904(a898,a898),a895),f905(a898,f905(f904(a898,a898),a895))),f316(f316(f8(f905(a898,f905(f905(f904(a898,a898),a895),f905(f904(a898,a898),a895))),f905(f905(f904(a898,a898),a895),f905(a898,f905(f904(a898,a898),a895))),a898),f7(a898,f905(f904(a898,a898),a895),f905(f904(a898,a898),a895))),f316(f316(f8(f905(a898,f904(a898,a898)),f905(a898,f905(f905(f904(a898,a898),a895),f905(f904(a898,a898),a895))),a898),f316(f8(f904(a898,a898),f905(f905(f904(a898,a898),a895),f905(f904(a898,a898),a895)),a898),f298(f904(a898,a898)))),f316(f7(a898,a898,f904(a898,a898)),f241(a898,a898))))),f178(f905(f904(a898,a898),a895))))))),f316(f73(a1),x45761))
% 163.96/163.64 [4430]E(f316(f316(f74(a898),f316(f93(a898),f316(f316(f74(a1),f316(f316(f23(a1),f316(f316(f74(a1),a77),a77)),a87)),f316(f316(f23(a1),f316(f316(f74(a1),a77),a77)),a87)))),x44301),f316(a102,f316(a102,x44301)))
% 163.96/163.64 [4431]E(f316(f316(f75(a898),f316(f93(a898),f316(f316(f74(a1),f316(f316(f23(a1),f316(f316(f74(a1),a77),a77)),a87)),f316(f316(f23(a1),f316(f316(f74(a1),a77),a77)),a87)))),x44311),f316(f316(f74(a898),x44311),x44311))
% 163.96/163.64 [4467]E(f316(f316(f29(a898),f316(a102,f316(a102,x44671))),f316(f93(a898),f316(f316(f74(a1),f316(f316(f23(a1),f316(f316(f74(a1),a77),a77)),a87)),f316(f316(f23(a1),f316(f316(f74(a1),a77),a77)),a87)))),f316(a102,f316(f316(f29(a898),x44671),f316(f93(a898),f316(f316(f74(a1),f316(f316(f23(a1),f316(f316(f74(a1),a77),a77)),a87)),f316(f316(f23(a1),f316(f316(f74(a1),a77),a77)),a87))))))
% 163.96/163.64 [4517]E(f316(f316(f74(a898),f316(f93(a898),f316(f316(f23(a1),f316(f316(f74(a1),f316(f316(f23(a1),f316(f316(f74(a1),a77),a77)),a87)),f316(f316(f23(a1),f316(f316(f74(a1),a77),a77)),a87))),a87))),x45171),f316(a102,f316(a102,f316(a102,x45171))))
% 163.96/163.64 [4583]E(f316(f246(a1,a1,f904(a1,a1)),f316(f316(f18(a1,f905(a1,f904(a1,a1)),f905(a1,f904(a1,a1))),f316(f316(f8(f905(a1,f905(f904(a1,a1),f904(a1,a1))),f905(f905(a1,f904(a1,a1)),f905(a1,f904(a1,a1))),a1),f18(a1,f904(a1,a1),f904(a1,a1))),f316(f316(f8(f905(a1,f904(a1,a1)),f905(a1,f905(f904(a1,a1),f904(a1,a1))),a1),f316(f18(a1,f904(a1,a1),f905(f904(a1,a1),f904(a1,a1))),f316(f316(f8(a895,f905(f904(a1,a1),f905(f904(a1,a1),f904(a1,a1))),a1),f86(f904(a1,a1))),f316(f316(f8(a1,a895,a1),f316(f224(a1),f2(a1))),f316(f316(f7(a1,a1,a1),f23(a1)),x45831))))),f316(f316(f7(a1,f905(a1,a1),f905(a1,f904(a1,a1))),f316(f316(f8(f905(a1,f904(a1,a1)),f905(f905(a1,a1),f905(a1,f904(a1,a1))),a1),f8(a1,f904(a1,a1),a1)),f316(f316(f8(a1,f905(a1,f904(a1,a1)),a1),f241(a1,a1)),f316(f316(f7(a1,a1,a1),f316(f316(f8(a1,f905(a1,a1),a1),f74(a1)),f316(f75(a1),f316(f93(a1),f316(f316(f74(a1),f316(f316(f23(a1),f316(f316(f74(a1),a77),a77)),a87)),f316(f316(f23(a1),f316(f316(f74(a1),a77),a77)),a87)))))),f72(a1))))),f316(f316(f7(a1,a1,a1),f23(a1)),x45831))))),f316(f316(f8(a1,f905(a1,f904(a1,a1)),a1),f241(a1,a1)),f316(f75(a1),f316(f93(a1),f316(f316(f74(a1),f316(f316(f23(a1),f316(f316(f74(a1),a77),a77)),a87)),f316(f316(f23(a1),f316(f316(f74(a1),a77),a77)),a87))))))),f36(x45831))
% 163.96/163.64 [3297]P106(f904(x32971,x32972))
% 163.96/163.64 [3298]P106(f906(x32981,x32982))
% 163.96/163.64 [3299]P106(f903(x32991,x32992))
% 163.96/163.64 [3316]P10(a1,f168(x33161,x33162))
% 163.96/163.64 [3317]P36(x33171,f143(x33171,x33172))
% 163.96/163.64 [3318]P37(x33181,f252(x33181,x33182))
% 163.96/163.64 [3319]P37(x33191,f296(x33191,x33192))
% 163.96/163.64 [3320]P38(x33201,f252(x33201,x33202))
% 163.96/163.64 [3321]P50(x33211,f252(x33211,x33212))
% 163.96/163.64 [3384]P30(x33841,x33842,f103(x33841))
% 163.96/163.64 [3417]P51(x34171,x34171,f252(x34171,x34172))
% 163.96/163.64 [3418]P52(x34181,x34182,f252(x34181,x34182))
% 163.96/163.64 [3681]P22(x36811,x36811,f5(x36811),x36812)
% 163.96/163.64 [3682]P22(x36821,x36821,f25(x36821),x36822)
% 163.96/163.64 [3690]P31(x36901,x36902,f103(x36901),f103(x36901))
% 163.96/163.64 [3697]P22(f899(x36971),f899(x36971),f158(x36971),x36972)
% 163.96/163.64 [4097]P23(x40971,x40971,f25(x40971),x40972,x40972)
% 163.96/163.64 [4608]~P32(x46081,x46082,f103(x46081))
% 163.96/163.64 [4609]~P34(x46091,x46092,f103(x46091))
% 163.96/163.64 [3283]E(f316(f5(x32831),x32832),x32832)
% 163.96/163.64 [3284]E(f316(f251(x32841),x32842),x32842)
% 163.96/163.64 [3286]E(f316(f25(x32861),x32862),x32862)
% 163.96/163.64 [3296]E(f316(f181(x32961),x32962),f105(x32961))
% 163.96/163.64 [3314]E(f79(x33141,f316(a313,x33142)),x33142)
% 163.96/163.64 [3315]E(f84(x33151,f316(a313,x33152)),x33152)
% 163.96/163.64 [3337]E(f316(f115(x33371,x33372),f109(x33371)),f2(a898))
% 163.96/163.64 [3340]E(f316(f126(x33401,x33402),f103(x33401)),f103(x33401))
% 163.96/163.64 [3360]E(f296(x33601,f296(x33601,x33602)),f296(x33601,x33602))
% 163.96/163.64 [3361]E(f142(x33611,f142(x33611,x33612)),f142(x33611,x33612))
% 163.96/163.64 [3379]E(f316(f316(f124(x33791),x33792),f103(x33791)),x33792)
% 163.96/163.64 [3385]E(f163(x33851,x33852,f103(x33851)),x33852)
% 163.96/163.64 [3386]E(f106(x33861,f109(x33861),x33862),x33862)
% 163.96/163.64 [3387]E(f163(x33871,f103(x33871),x33872),x33872)
% 163.96/163.64 [3388]E(f159(x33881,f2(a898),x33882),f103(x33881))
% 163.96/163.64 [3394]E(f316(f316(f165(x33941),x33942),f103(x33941)),f103(x33941))
% 163.96/163.64 [3395]E(f316(f316(f128(x33951),x33952),f103(x33951)),f103(x33951))
% 163.96/163.64 [3397]E(f145(x33971,x33972,f103(x33971)),f2(a898))
% 163.96/163.64 [3399]E(f160(x33991,x33992,f103(x33991)),f103(x33991))
% 163.96/163.64 [3400]E(f167(x34001,x34002,f103(x34001)),f103(x34001))
% 163.96/163.64 [3401]E(f166(x34011,f103(x34011),x34012),f103(x34011))
% 163.96/163.64 [3405]E(f316(f162(x34051),f142(x34051,x34052)),f316(f162(x34051),x34052))
% 163.96/163.64 [3408]E(f316(f273(x34081,x34081),f252(x34081,x34082)),x34082)
% 163.96/163.64 [3409]E(f316(f253(x34091,x34091),f252(x34091,x34092)),x34092)
% 163.96/163.64 [3416]E(f316(f275(x34161,x34161),f252(x34161,x34162)),f252(x34161,x34162))
% 163.96/163.64 [3429]E(f296(f899(x34291),f147(x34291,x34292)),f148(x34291,f296(x34291,x34292)))
% 163.96/163.64 [3431]P107(f316(f127(a1),f168(x34311,x34312)))
% 163.96/163.64 [3439]E(f316(f273(x34391,x34391),f296(x34391,x34392)),f231(f905(x34391,a895)))
% 163.96/163.64 [3440]E(f316(f253(x34401,x34401),f296(x34401,x34402)),f231(f905(x34401,a895)))
% 163.96/163.64 [3444]P107(f316(f127(x34441),f142(x34441,x34442)))
% 163.96/163.64 [3446]P107(f316(f150(x34461,x34462),f103(x34461)))
% 163.96/163.64 [3452]E(f316(f162(a1),f168(x34521,x34522)),f292(a1,x34521,x34522))
% 163.96/163.64 [3466]P54(x34661,f178(f905(x34661,a895)),x34662)
% 163.96/163.64 [3471]E(f316(f245(a1,a1),f39(x34711,x34712)),f38(a1,x34711,x34712))
% 163.96/163.64 [3472]E(f316(f291(a898,x34721),f316(a102,x34722)),f292(a898,x34721,x34722))
% 163.96/163.64 [3487]E(f316(f316(f141(x34871),x34872),f103(x34871)),f130(x34871,x34872,f103(x34871)))
% 163.96/163.64 [3499]E(f292(a898,f316(a102,x34991),x34992),f294(a898,x34991,x34992))
% 163.96/163.64 [3502]P52(x35021,f231(f905(x35021,a895)),f296(x35021,x35022))
% 163.96/163.64 [3564]E(f316(f316(f23(a898),x35641),f316(a102,x35642)),f316(f28(a898),f295(a898,x35642,x35641)))
% 163.96/163.64 [3619]E(f156(x36191,x36192,f103(x36191)),f316(f316(f241(f899(x36191),f899(x36191)),f103(x36191)),f103(x36191)))
% 163.96/163.64 [3637]E(f316(f246(x36371,x36372,f904(x36371,x36372)),f241(x36371,x36372)),f25(f904(x36371,x36372)))
% 163.96/163.64 [3641]P107(f316(f316(f318(f899(x36411)),f103(x36411)),f151(x36411,x36412)))
% 163.96/163.64 [3642]E(f316(f179(f899(x36421)),f104(x36421,x36422)),f316(f316(f23(a898),f316(f179(f899(x36421)),x36422)),f72(a898)))
% 163.96/163.64 [3650]P107(f316(f54(a898),f295(a898,x36501,x36502)))
% 163.96/163.64 [3651]P107(f316(f54(a898),f294(a898,x36511,x36512)))
% 163.96/163.64 [3652]P107(f316(f54(a898),f292(a898,x36521,x36522)))
% 163.96/163.64 [3653]P107(f316(f54(a1),f295(a1,x36531,x36532)))
% 163.96/163.64 [3654]P107(f316(f54(a1),f294(a1,x36541,x36542)))
% 163.96/163.64 [3655]P107(f316(f54(a1),f292(a1,x36551,x36552)))
% 163.96/163.64 [3758]E(f316(f299(a898,a898,a102),f292(a898,x37581,x37582)),f292(a898,f316(a102,x37581),f316(a102,x37582)))
% 163.96/163.64 [3778]E(f316(f316(f278(x37781,x37781,x37781),f296(x37781,x37782)),f296(x37781,x37782)),f296(x37781,x37782))
% 163.96/163.64 [3812]E(f316(f316(f241(a1,a1),f316(f316(f29(a1),x38121),x38122)),f38(a1,x38121,x38122)),f39(x38121,x38122))
% 163.96/163.64 [3813]E(f316(f316(f241(a89,a89),f316(f316(f29(a89),x38131),x38132)),f38(a89,x38131,x38132)),f21(x38131,x38132))
% 163.96/163.64 [3840]E(f316(f316(f241(a898,a898),f316(f316(f29(a898),x38401),x38402)),f38(a898,x38401,x38402)),f79(f904(a898,a898),f41(x38401,x38402)))
% 163.96/163.64 [3891]P107(f316(f316(f225(a898),f316(f316(f23(a898),x38911),x38912)),f316(a102,x38911)))
% 163.96/163.64 [3939]P37(x39391,f316(f316(f278(x39391,x39391,x39391),x39392),f296(x39391,x39392)))
% 163.96/163.64 [3989]E(f316(f316(f74(a1),f316(f316(f75(a1),x39891),f316(f316(f29(a1),x39892),x39891))),f38(a1,x39892,x39891)),x39892)
% 163.96/163.64 [3993]E(f316(f316(f33(a898,f905(f904(f899(x39931),f899(x39931)),a895)),f231(f905(a898,a895))),f133(x39931,x39932)),f135(x39931,x39932))
% 163.96/163.64 [4214]P107(f316(f316(f318(f904(f899(x42141),f899(x42141))),f316(f316(f241(f899(x42141),f899(x42141)),f103(x42141)),f103(x42141))),f148(x42141,x42142)))
% 163.96/163.64 [4323]E(f242(x43231,x43231,x43231,a313,f242(x43231,x43231,x43231,x43232,a313)),x43232)
% 163.96/163.64 [4367]E(f247(x43671,x43671,x43672,x43672,f5(x43671),f5(x43672)),f25(f904(x43671,x43672)))
% 163.96/163.64 [4369]E(f247(x43691,x43691,x43692,x43692,f25(x43691),f25(x43692)),f25(f904(x43691,x43692)))
% 163.96/163.64 [3378]E(f316(f158(x33781),f316(f158(x33781),x33782)),x33782)
% 163.96/163.64 [3380]E(f316(f316(f128(x33801),f2(a898)),x33802),x33802)
% 163.96/163.64 [3396]E(f316(f316(f165(x33961),f2(a898)),x33962),f103(x33961))
% 163.96/163.64 [3403]E(f316(f316(f124(x34031),f103(x34031)),x34032),x34032)
% 163.96/163.64 [3412]E(f30(f905(x34121,a895),f316(f297(x34121),x34122)),x34122)
% 163.96/163.64 [3414]E(f316(f162(x34141),f316(f157(x34141),x34142)),f316(f162(x34141),x34142))
% 163.96/163.64 [3415]E(f316(f162(x34151),f316(f158(x34151),x34152)),f316(f162(x34151),x34152))
% 163.96/163.64 [3420]E(f316(f316(f23(a89),x34201),x34202),f316(f316(a24,x34201),x34202))
% 163.96/163.64 [3433]E(f316(f316(f75(a898),x34331),x34332),f316(f316(f75(a898),x34332),x34331))
% 163.96/163.64 [3434]E(f316(f316(f75(a1),x34341),x34342),f316(f316(f75(a1),x34342),x34341))
% 163.96/163.64 [3435]E(f316(f316(f74(a898),x34351),x34352),f316(f316(f74(a898),x34352),x34351))
% 163.96/163.64 [3436]E(f316(f316(f74(a1),x34361),x34362),f316(f316(f74(a1),x34362),x34361))
% 163.96/163.64 [3458]E(f316(f316(f173(x34581,x34581),f2(a898)),x34582),f25(x34581))
% 163.96/163.64 [3459]E(f316(f179(f899(x34591)),f316(f157(x34591),x34592)),f316(f179(f899(x34591)),x34592))
% 163.96/163.64 [3460]E(f316(f179(f899(x34601)),f316(f158(x34601),x34602)),f316(f179(f899(x34601)),x34602))
% 163.96/163.64 [3461]E(f166(x34611,x34612,f178(f905(a898,a895))),f103(x34611))
% 163.96/163.64 [3462]E(f316(f316(f144(x34621,x34621),f5(x34621)),x34622),x34622)
% 163.96/163.64 [3464]E(f316(f240(a1,a1),f39(x34641,x34642)),f316(f316(f29(a1),x34641),x34642))
% 163.96/163.64 [3481]E(f316(f179(f899(x34811)),f142(x34811,x34812)),f316(f28(x34811),f316(f162(x34811),x34812)))
% 163.96/163.64 [3482]E(f316(f270(x34821),f316(f275(x34821,x34821),x34822)),f316(f270(x34821),x34822))
% 163.96/163.64 [3486]P107(f316(f54(x34861),f316(f162(x34861),x34862)))
% 163.96/163.64 [3494]E(f316(f316(f74(a1),x34941),f316(f73(a1),x34942)),f316(f316(f23(a1),x34941),x34942))
% 163.96/163.64 [3501]P21(x35011,x35012,f178(f905(f897(x35011),a895)))
% 163.96/163.64 [3503]E(f316(f300(x35031,x35031,f5(x35031)),x35032),x35032)
% 163.96/163.64 [3504]E(f316(f300(x35041,x35041,f25(x35041)),x35042),x35042)
% 163.96/163.64 [3505]E(f316(f299(x35051,x35051,f5(x35051)),x35052),x35052)
% 163.96/163.64 [3506]E(f316(f299(x35061,x35061,f25(x35061)),x35062),x35062)
% 163.96/163.64 [3507]P107(f316(f231(f905(x35071,a895)),x35072))
% 163.96/163.64 [3509]E(f316(f28(a898),f316(f291(a898,x35091),x35092)),f316(f316(f23(a898),x35092),x35091))
% 163.96/163.64 [3510]E(f316(f291(a898,f316(a102,x35101)),x35102),f295(a898,x35101,x35102))
% 163.96/163.64 [3523]E(f316(f316(f298(x35231),x35232),f178(f905(x35231,a895))),f316(f251(x35231),f316(a313,x35232)))
% 163.96/163.64 [3528]E(f296(x35281,f316(f275(x35281,x35281),x35282)),f316(f275(x35281,x35281),f296(x35281,x35282)))
% 163.96/163.64 [3533]E(f316(f316(f74(a898),f316(a102,x35331)),x35332),f316(f316(f74(a898),x35331),f316(a102,x35332)))
% 163.96/163.64 [3534]E(f316(f316(f23(a898),f316(a102,x35341)),f316(a102,x35342)),f316(f316(f23(a898),x35341),x35342))
% 163.96/163.64 [3540]E(f48(x35401,f2(a898),x35402),f316(f316(f141(f899(x35401)),f103(x35401)),f103(f899(x35401))))
% 163.96/163.64 [3541]E(f316(f28(a898),f294(a898,x35411,x35412)),f316(f316(f23(a898),x35412),x35411))
% 163.96/163.64 [3550]P36(x35501,f316(f316(f277(a898,x35501),a229),x35502))
% 163.96/163.64 [3552]P10(a898,f129(a898,f316(f291(a898,x35521),x35522)))
% 163.96/163.64 [3554]P107(f316(f54(a898),f316(f291(a898,x35541),x35542)))
% 163.96/163.64 [3555]P107(f316(f54(a1),f316(f291(a1,x35551),x35552)))
% 163.96/163.64 [3558]E(f316(f275(f899(x35581),f899(x35581)),f147(x35581,x35582)),f147(x35581,f316(f275(x35581,x35581),x35582)))
% 163.96/163.64 [3560]E(f316(f291(a1,x35601),f316(f316(f74(a1),x35602),f72(a1))),f292(a1,x35601,x35602))
% 163.96/163.64 [3563]E(f316(f316(f29(a1),f316(f73(a1),x35631)),f316(f73(a1),x35632)),f316(f316(f29(a1),x35631),x35632))
% 163.96/163.64 [3571]E(f316(f316(f173(f904(x35711,x35711),a895),f72(a898)),x35712),x35712)
% 163.96/163.64 [3573]E(f316(f316(f23(f905(x35731,a895)),x35732),f178(f905(x35731,a895))),x35732)
% 163.96/163.64 [3574]E(f316(f316(f100(f905(x35741,a895)),x35742),f178(f905(x35741,a895))),x35742)
% 163.96/163.64 [3575]E(f316(f316(f91(f905(x35751,a895)),x35752),f231(f905(x35751,a895))),x35752)
% 163.96/163.64 [3576]E(f316(f240(a898,a898),f79(f904(a898,a898),f41(x35761,x35762))),f316(f316(f29(a898),x35761),x35762))
% 163.96/163.64 [3582]E(f292(a1,f316(f316(f74(a1),x35821),f72(a1)),x35822),f294(a1,x35821,x35822))
% 163.96/163.64 [3587]E(f316(f245(a898,a898),f79(f904(a898,a898),f41(x35871,x35872))),f38(a898,x35871,x35872))
% 163.96/163.64 [3597]P107(f316(f316(f318(x35971),x35972),f231(f905(x35971,a895))))
% 163.96/163.64 [3602]E(f316(f316(f23(a898),f316(a102,x36021)),x36022),f316(f28(a898),f292(a898,x36022,x36021)))
% 163.96/163.64 [3628]E(f316(f316(f23(f905(x36281,a895)),x36282),f231(f905(x36281,a895))),f178(f905(x36281,a895)))
% 163.96/163.64 [3629]E(f316(f316(f100(f905(x36291,a895)),x36292),f231(f905(x36291,a895))),f231(f905(x36291,a895)))
% 163.96/163.64 [3630]E(f316(f316(f91(f905(x36301,a895)),x36302),f178(f905(x36301,a895))),f178(f905(x36301,a895)))
% 163.96/163.64 [3645]E(f38(a1,f316(f73(a1),x36451),f316(f73(a1),x36452)),f316(f73(a1),f38(a1,x36451,x36452)))
% 163.96/163.64 [3646]E(f38(a1,f316(f90(a1),x36461),f316(f90(a1),x36462)),f316(f90(a1),f38(a898,x36461,x36462)))
% 163.96/163.64 [3657]E(f316(f179(f899(x36571)),f316(f161(x36571),x36572)),f316(f316(f23(a898),f316(f179(f899(x36571)),x36572)),f72(a898)))
% 163.96/163.64 [3683]E(f316(f316(f29(a1),f38(a1,x36831,x36832)),x36832),f2(a1))
% 163.96/163.64 [3692]E(f316(a3,f38(a898,f316(a20,x36921),f316(a20,x36922))),f38(a89,x36921,x36922))
% 163.96/163.64 [3725]E(f316(a3,f316(f316(f23(a898),f316(a20,x37251)),f316(a20,x37252))),f316(f316(f23(a89),x37251),x37252))
% 163.96/163.64 [3726]E(f316(a3,f316(f316(f75(a898),f316(a20,x37261)),f316(a20,x37262))),f316(f316(f75(a89),x37261),x37262))
% 163.96/163.64 [3727]E(f316(a3,f316(f316(f74(a898),f316(a20,x37271)),f316(a20,x37272))),f316(f316(f74(a89),x37271),x37272))
% 163.96/163.64 [3728]E(f316(a3,f316(f316(f29(a898),f316(a20,x37281)),f316(a20,x37282))),f316(f316(f29(a89),x37281),x37282))
% 163.96/163.64 [3736]E(f316(f299(a898,a898,a102),f316(f291(a898,x37361),x37362)),f316(f291(a898,f316(a102,x37361)),f316(a102,x37362)))
% 163.96/163.64 [3763]P107(f316(f41(x37631,x37632),f79(f904(a898,a898),f41(x37631,x37632))))
% 163.96/163.64 [3787]E(f38(a898,f316(a102,f38(a898,x37871,x37872)),x37872),f38(a898,f316(a102,x37871),x37872))
% 163.96/163.64 [3799]E(f316(f316(f33(f905(x37991,a895),f905(x37991,a895)),x37992),f5(f905(x37991,a895))),f30(f905(x37991,a895),x37992))
% 163.96/163.64 [3800]E(f316(f316(f32(f905(x38001,a895),f905(x38001,a895)),x38002),f5(f905(x38001,a895))),f31(f905(x38001,a895),x38002))
% 163.96/163.64 [3801]E(f316(f299(f899(x38011),f905(x38011,a895),f162(x38011)),f316(f162(f899(x38011)),f47(x38011,x38012))),f316(f297(x38011),f316(f162(x38011),x38012)))
% 163.96/163.64 [3805]P107(f316(f316(f318(f905(x38051,a895)),x38052),f316(f297(x38051),x38052)))
% 163.96/163.64 [3811]E(f38(a1,f316(f73(a1),f38(a1,x38111,x38112)),x38112),f38(a1,f316(f73(a1),x38111),x38112))
% 163.96/163.64 [3822]P107(f316(f316(f224(f905(x38221,a895)),x38222),f231(f905(x38221,a895))))
% 163.96/163.64 [3824]E(f316(f316(f278(x38241,x38241,x38241),f296(x38241,x38242)),f296(x38241,f296(x38241,x38242))),f296(x38241,x38242))
% 163.96/163.64 [3825]E(f316(f316(f100(f905(x38251,a895)),f316(f253(x38251,x38251),x38252)),f316(f273(x38251,x38251),x38252)),f316(f270(x38251),x38252))
% 163.96/163.64 [3846]E(f302(x38461,x38462,f231(f905(x38461,a895)),f231(f905(x38462,a895))),f231(f905(f906(x38461,x38462),a895)))
% 163.96/163.64 [3896]P107(f316(f316(f224(a898),f38(a898,x38961,x38962)),x38961))
% 163.96/163.64 [3920]P107(f316(f316(f224(a1),f316(f73(a1),f316(f90(a1),x39201))),f316(f90(a1),x39202)))
% 163.96/163.64 [3944]P107(f316(f316(f318(f905(x39441,a895)),f178(f905(x39441,a895))),f316(f297(x39441),x39442)))
% 163.96/163.64 [3949]E(f296(x39491,f316(f316(f278(x39491,x39491,x39491),x39492),f296(x39491,x39492))),f296(x39491,x39492))
% 163.96/163.64 [3952]E(f316(f316(f278(x39521,x39521,x39521),f296(x39521,x39522)),x39522),f316(f316(f278(x39521,x39521,x39521),x39522),f296(x39521,x39522)))
% 163.96/163.64 [3954]E(f316(a94,f316(f316(f74(a1),f316(f316(f23(a1),x39541),x39542)),f72(a1))),f316(f28(a1),f292(a1,x39542,x39541)))
% 163.96/163.64 [3969]E(f316(f273(x39691,x39691),f316(f316(f278(x39691,x39691,x39691),x39692),f296(x39691,x39692))),f316(f273(x39691,x39691),x39692))
% 163.96/163.64 [3970]E(f316(f253(x39701,x39701),f316(f316(f278(x39701,x39701,x39701),x39702),f296(x39701,x39702))),f316(f253(x39701,x39701),x39702))
% 163.96/163.64 [3988]E(f316(f132(f899(x39881),f899(x39881),f124(x39881),f103(x39881)),f159(f899(x39881),x39882,f103(x39881))),f103(x39881))
% 163.96/163.64 [3997]P22(a898,a898,f316(f316(f7(a898,a898,a898),f74(a898)),x39971),x39972)
% 163.96/163.64 [3999]P10(a898,f316(f158(a898),f316(f316(f144(f899(x39991),a898),f179(f899(x39991))),f169(x39991,x39992))))
% 163.96/163.64 [4029]P50(x40291,f316(f316(f100(f905(f904(x40291,x40291),a895)),x40292),f316(f275(x40291,x40291),x40292)))
% 163.96/163.64 [4030]P50(x40301,f316(f316(f91(f905(f904(x40301,x40301),a895)),x40302),f316(f275(x40301,x40301),x40302)))
% 163.96/163.64 [4041]P107(f316(f316(f225(a1),f316(f73(a1),f316(f90(a1),f316(a102,x40411)))),f316(f90(a1),x40412)))
% 163.96/163.64 [4086]E(f316(f132(f899(x40861),x40861,f316(f7(x40861,f899(x40861),f899(x40861)),f141(x40861)),f103(x40861)),x40862),f316(f158(x40861),x40862))
% 163.96/163.64 [4135]P107(f316(f316(f224(f905(f904(f899(x41351),f899(x41351)),a895)),f148(x41351,x41352)),f296(f899(x41351),f147(x41351,x41352))))
% 163.96/163.64 [4164]P107(f316(f41(x41641,x41642),f316(f316(f241(a898,a898),f316(f316(f29(a898),x41641),x41642)),f38(a898,x41641,x41642))))
% 163.96/163.64 [4176]P107(f316(f316(f224(f905(f904(f899(x41761),f899(x41761)),a895)),f147(x41761,f296(x41761,x41762))),f296(f899(x41761),f147(x41761,x41762))))
% 163.96/163.64 [4392]E(f316(f316(f248(f904(a89,a89),a89,f904(a89,a89),f904(x43921,f904(a89,a89))),f256(f316(f155(a89),f316(f316(f144(f904(a89,x43921),a89),f240(a89,x43921)),x43922)))),f316(f316(f8(x43921,f905(f904(a89,a89),f904(x43921,f904(a89,a89))),a89),f241(x43921,f904(a89,a89))),f257(x43921,x43922))),f255(x43921,x43922))
% 163.96/163.64 [4469]E(f213(a898,f904(x44691,f900(x44691)),f2(a898),f316(f246(x44691,f900(x44691),a898),f316(f16(f905(f900(x44691),a898),x44691),f316(f316(f7(f900(x44691),a898,a898),f316(f316(f8(a898,f905(a898,a898),f900(x44691)),f74(a898)),f179(f900(x44691)))),f72(a898)))),f316(f125(x44691),x44692)),f316(f179(f900(x44691)),x44692))
% 163.96/163.64 [4575]E(f316(f246(f905(f904(x45751,x45751),a895),f905(f904(x45751,x45751),a895),f905(f905(x45752,x45751),f904(f905(f904(x45752,x45752),a895),f905(f904(x45752,x45752),a895)))),f316(f316(f7(f905(f904(x45751,x45751),a895),f905(f905(f904(x45751,x45751),a895),f905(f905(x45752,x45751),f905(f904(x45752,x45752),a895))),f905(f905(f904(x45751,x45751),a895),f905(f905(x45752,x45751),f904(f905(f904(x45752,x45752),a895),f905(f904(x45752,x45752),a895))))),f316(f316(f8(f905(f905(f905(x45752,x45751),f905(f904(x45752,x45752),a895)),f905(f905(x45752,x45751),f904(f905(f904(x45752,x45752),a895),f905(f904(x45752,x45752),a895)))),f905(f905(f905(f904(x45751,x45751),a895),f905(f905(x45752,x45751),f905(f904(x45752,x45752),a895))),f905(f905(f904(x45751,x45751),a895),f905(f905(x45752,x45751),f904(f905(f904(x45752,x45752),a895),f905(f904(x45752,x45752),a895))))),f905(f904(x45751,x45751),a895)),f8(f905(f905(x45752,x45751),f905(f904(x45752,x45752),a895)),f905(f905(x45752,x45751),f904(f905(f904(x45752,x45752),a895),f905(f904(x45752,x45752),a895))),f905(f904(x45751,x45751),a895))),f316(f316(f8(f905(f905(x45752,x45751),f905(f905(f904(x45752,x45752),a895),f904(f905(f904(x45752,x45752),a895),f905(f904(x45752,x45752),a895)))),f905(f905(f905(x45752,x45751),f905(f904(x45752,x45752),a895)),f905(f905(x45752,x45751),f904(f905(f904(x45752,x45752),a895),f905(f904(x45752,x45752),a895)))),f905(f904(x45751,x45751),a895)),f18(f905(x45752,x45751),f905(f904(x45752,x45752),a895),f904(f905(f904(x45752,x45752),a895),f905(f904(x45752,x45752),a895)))),f316(f316(f8(f905(f905(x45752,x45751),f905(f904(x45752,x45752),a895)),f905(f905(x45752,x45751),f905(f905(f904(x45752,x45752),a895),f904(f905(f904(x45752,x45752),a895),f905(f904(x45752,x45752),a895)))),f905(f904(x45751,x45751),a895)),f316(f8(f905(f904(x45752,x45752),a895),f905(f905(f904(x45752,x45752),a895),f904(f905(f904(x45752,x45752),a895),f905(f904(x45752,x45752),a895))),f905(x45752,x45751)),f241(f905(f904(x45752,x45752),a895),f905(f904(x45752,x45752),a895)))),f277(x45751,x45752))))),f277(x45751,x45752))),f67(x45751,x45752))
% 163.96/163.64 [4620]~E(f316(f297(x46201),x46202),f178(f905(f905(x46201,a895),a895)))
% 163.96/163.64 [4630]~P107(f316(f316(f162(x46301),f103(x46301)),x46302))
% 163.96/163.64 [4634]~P107(f316(f316(f318(x46341),x46342),f178(f905(x46341,a895))))
% 163.96/163.64 [4642]~P107(f316(f316(f225(f905(x46421,a895)),x46422),f178(f905(x46421,a895))))
% 163.96/163.64 [3512]E(f316(f316(f23(a898),x35121),f316(f316(f74(a898),x35121),x35122)),f2(a898))
% 163.96/163.64 [3515]E(f316(f316(f100(f905(x35151,a895)),x35152),x35152),x35152)
% 163.96/163.64 [3516]E(f316(f316(f91(f905(x35161,a895)),x35162),x35162),x35162)
% 163.96/163.64 [3544]E(f316(f316(f23(f905(x35441,a895)),x35442),x35442),f178(f905(x35441,a895)))
% 163.96/163.64 [3547]E(f316(f133(x35471,x35472),f2(a898)),f178(f905(f904(f899(x35471),f899(x35471)),a895)))
% 163.96/163.64 [3548]E(f316(f316(f74(a898),x35481),f316(a102,x35482)),f316(a102,f316(f316(f74(a898),x35481),x35482)))
% 163.96/163.64 [3559]E(f184(f316(f90(a1),x35591),f316(f90(a1),x35592)),f316(f90(a1),f316(f316(f23(a898),x35591),x35592)))
% 163.96/163.64 [3562]E(f316(f316(f29(a1),f316(f73(a1),x35621)),x35622),f316(f316(f29(a1),x35621),f316(f73(a1),x35622)))
% 163.96/163.64 [3566]E(f316(f28(a1),f316(f291(a1,x35661),x35662)),f316(a94,f316(f316(f23(a1),x35662),x35661)))
% 163.96/163.64 [3569]E(f316(f316(f74(a898),f316(a102,x35691)),x35692),f316(a102,f316(f316(f74(a898),x35691),x35692)))
% 163.96/163.64 [3572]E(f316(f73(f905(x35721,a895)),f316(f73(f905(x35721,a895)),x35722)),x35722)
% 163.96/163.64 [3584]E(f169(x35841,f316(f316(f141(f899(x35841)),f103(x35841)),x35842)),f169(x35841,x35842))
% 163.96/163.64 [3588]E(f316(f316(f74(a898),x35881),f316(f316(f75(a898),x35881),x35882)),f316(f316(f75(a898),x35881),f316(a102,x35882)))
% 163.96/163.64 [3595]E(f316(f316(a24,f316(a3,x35951)),f316(a3,x35952)),f316(a3,f316(f316(f23(a898),x35951),x35952)))
% 163.96/163.64 [3610]E(f316(f316(f75(a1),f316(f73(a1),x36101)),x36102),f316(f73(a1),f316(f316(f75(a1),x36101),x36102)))
% 163.96/163.64 [3612]E(f316(f316(f233(a1),f316(f90(a1),x36121)),x36122),f316(f90(a1),f316(f316(f233(a898),x36121),x36122)))
% 163.96/163.64 [3613]E(f316(f316(f75(a89),f316(a3,x36131)),f316(a3,x36132)),f316(a3,f316(f316(f75(a898),x36131),x36132)))
% 163.96/163.64 [3614]E(f316(f316(f74(a89),f316(a3,x36141)),f316(a3,x36142)),f316(a3,f316(f316(f74(a898),x36141),x36142)))
% 163.96/163.64 [3615]E(f316(f316(f222(a898),f316(a102,x36151)),f316(a102,x36152)),f316(a102,f316(f316(f222(a898),x36151),x36152)))
% 163.96/163.64 [3616]E(f316(f316(f223(a898),f316(a102,x36161)),f316(a102,x36162)),f316(a102,f316(f316(f223(a898),x36161),x36162)))
% 163.96/163.64 [3621]E(f316(f162(a898),f129(a898,f316(f291(a898,x36211),x36212))),f316(f291(a898,x36211),x36212))
% 163.96/163.64 [3622]E(f301(x36221,f316(f316(f298(x36221),x36222),f178(f905(x36221,a895)))),x36222)
% 163.96/163.64 [3626]E(f316(f273(x36261,x36262),f178(f905(f904(x36261,x36262),a895))),f178(f905(x36262,a895)))
% 163.96/163.64 [3627]E(f316(f253(x36271,x36272),f178(f905(f904(x36271,x36272),a895))),f178(f905(x36271,a895)))
% 163.96/163.64 [3631]E(f316(a94,f316(f316(f23(a1),x36311),x36312)),f316(f28(a1),f294(a1,x36312,x36311)))
% 163.96/163.64 [3636]E(f316(f316(f74(a898),x36361),f316(f316(f75(a898),x36362),x36361)),f316(f316(f75(a898),f316(a102,x36362)),x36361))
% 163.96/163.64 [3638]E(f316(f316(f53(x36381),f178(f905(x36381,a895))),x36382),f178(f905(f905(x36381,a895),a895)))
% 163.96/163.64 [3647]E(f316(f179(f899(a898)),f129(a898,f316(f291(a898,x36471),x36472))),f316(f316(f23(a898),x36472),x36471))
% 163.96/163.64 [3662]E(f316(f316(f100(f905(x36621,a895)),f178(f905(x36621,a895))),x36622),x36622)
% 163.96/163.64 [3663]E(f316(f316(f91(f905(x36631,a895)),f231(f905(x36631,a895))),x36632),x36632)
% 163.96/163.64 [3664]E(f316(f316(f74(a1),f316(f73(a1),x36641)),f316(f73(a1),x36642)),f316(f73(a1),f316(f316(f74(a1),x36641),x36642)))
% 163.96/163.64 [3669]E(f316(f316(f75(a1),f316(f90(a1),x36691)),f316(f90(a1),x36692)),f316(f90(a1),f316(f316(f75(a898),x36691),x36692)))
% 163.96/163.64 [3670]E(f316(f316(f75(a1),f316(f93(a1),x36701)),f316(f93(a1),x36702)),f316(f93(a1),f316(f316(f75(a1),x36701),x36702)))
% 163.96/163.64 [3672]E(f316(f316(f74(a1),f316(f90(a1),x36721)),f316(f90(a1),x36722)),f316(f90(a1),f316(f316(f74(a898),x36721),x36722)))
% 163.96/163.64 [3673]E(f316(f316(f74(a1),f316(f93(a1),x36731)),f316(f93(a1),x36732)),f316(f93(a1),f316(f316(f74(a1),x36731),x36732)))
% 163.96/163.64 [3674]E(f316(f316(f29(a1),f316(f90(a1),x36741)),f316(f90(a1),x36742)),f316(f90(a1),f316(f316(f29(a898),x36741),x36742)))
% 163.96/163.64 [3693]E(f316(f316(f6(x36931,a898),f316(f16(a898,x36931),f72(a898))),x36932),f316(f28(x36931),x36932))
% 163.96/163.64 [3698]E(f316(f73(a1),f38(a1,f316(f73(a1),x36981),x36982)),f38(a1,x36981,f316(f73(a1),x36982)))
% 163.96/163.64 [3700]E(f316(f162(a1),f168(x37001,f316(f316(f23(a1),x37002),f72(a1)))),f316(f291(a1,x37001),x37002))
% 163.96/163.64 [3705]P107(f316(f316(f224(a898),x37051),f316(f316(f74(a898),x37052),x37051)))
% 163.96/163.64 [3706]P107(f316(f316(f224(a898),x37061),f316(f316(f74(a898),x37061),x37062)))
% 163.96/163.64 [3708]E(f316(f316(f23(f905(x37081,a895)),f178(f905(x37081,a895))),x37082),f178(f905(x37081,a895)))
% 163.96/163.64 [3709]E(f316(f316(f100(f905(x37091,a895)),f231(f905(x37091,a895))),x37092),f231(f905(x37091,a895)))
% 163.96/163.64 [3710]E(f316(f316(f91(f905(x37101,a895)),f178(f905(x37101,a895))),x37102),f178(f905(x37101,a895)))
% 163.96/163.64 [3717]E(f316(f316(f241(a1,a1),x37171),f316(f73(a1),x37172)),f316(a44,f316(f316(f241(a1,a1),x37171),x37172)))
% 163.96/163.64 [3718]E(f316(f291(a1,f316(f316(f74(a1),x37181),f72(a1))),x37182),f295(a1,x37181,x37182))
% 163.96/163.64 [3729]E(f316(f316(f75(a898),x37291),f316(f316(f29(a898),x37292),x37291)),f316(f316(f23(a898),x37292),f38(a898,x37292,x37291)))
% 163.96/163.64 [3730]E(f316(f316(f75(a1),x37301),f316(f316(f29(a1),x37302),x37301)),f316(f316(f23(a1),x37302),f38(a1,x37302,x37301)))
% 163.96/163.64 [3733]E(f316(f162(a1),f168(f316(f316(f74(a1),x37331),f72(a1)),x37332)),f294(a1,x37331,x37332))
% 163.96/163.64 [3737]P107(f316(f316(f224(f905(x37371,a895)),x37372),x37372))
% 163.96/163.64 [3740]E(f316(f316(f100(f905(x37401,a895)),x37402),f316(f73(f905(x37401,a895)),x37402)),f231(f905(x37401,a895)))
% 163.96/163.64 [3741]E(f316(f316(f91(f905(x37411,a895)),x37412),f316(f73(f905(x37411,a895)),x37412)),f178(f905(x37411,a895)))
% 163.96/163.64 [3749]E(f316(f316(f23(a898),f316(f316(f23(a898),x37491),f72(a898))),x37492),f316(f316(f23(a898),x37491),f316(a102,x37492)))
% 163.96/163.64 [3755]E(f316(f316(f23(f905(x37551,a895)),f231(f905(x37551,a895))),x37552),f316(f73(f905(x37551,a895)),x37552))
% 163.96/163.64 [3756]E(f316(f316(f23(a1),f316(f93(a1),x37561)),f316(f93(a1),x37562)),f316(f93(a1),f316(f316(f74(a1),x37561),f316(f73(a1),x37562))))
% 163.96/163.64 [3769]E(f316(f162(a898),f129(a898,f316(f291(a898,x37691),f316(a102,x37692)))),f292(a898,x37691,x37692))
% 163.96/163.64 [3785]E(f316(f179(f899(f899(x37851))),f47(x37851,x37852)),f316(f316(f233(a898),f316(a102,f316(a102,f2(a898)))),f316(f179(f899(x37851)),x37852)))
% 163.96/163.64 [3803]E(f316(f316(f173(f904(x38031,x38031),a895),f2(a898)),x38032),f296(x38031,f178(f905(f904(x38031,x38031),a895))))
% 163.96/163.64 [3807]P107(f316(f127(a898),f129(a898,f316(f291(a898,x38071),x38072))))
% 163.96/163.64 [3823]E(f316(f299(a1,a898,a94),f292(a1,f316(f90(a1),x38231),f316(f90(a1),x38232))),f292(a898,x38231,x38232))
% 163.96/163.64 [3832]E(f175(a898,f2(a898),f5(a898),f316(f316(f23(a898),x38321),x38322)),f316(f316(f23(a898),x38321),f316(a102,x38322)))
% 163.96/163.64 [3833]E(f316(a94,f316(f316(f23(a1),x38331),f316(f316(f74(a1),x38332),f72(a1)))),f316(f28(a1),f295(a1,x38332,x38331)))
% 163.96/163.64 [3868]E(f316(f316(f144(a898,a898),a102),f129(a898,f316(f291(a898,x38681),x38682))),f129(a898,f316(f291(a898,f316(a102,x38681)),f316(a102,x38682))))
% 163.96/163.64 [3876]E(f316(f162(a1),f168(f316(f316(f74(a1),x38761),f72(a1)),f316(f316(f23(a1),x38762),f72(a1)))),f295(a1,x38761,x38762))
% 163.96/163.64 [3888]P107(f316(f316(f224(f905(x38881,a895)),f178(f905(x38881,a895))),x38882))
% 163.96/163.64 [3892]E(f79(x38921,f316(f316(f7(x38921,x38921,a895),a313),x38922)),x38922)
% 163.96/163.64 [3893]E(f84(x38931,f316(f316(f7(x38931,x38931,a895),a313),x38932)),x38932)
% 163.96/163.64 [3897]E(f316(f162(a898),f129(a898,f316(f291(a898,f316(a102,x38971)),f316(a102,x38972)))),f294(a898,x38971,x38972))
% 163.96/163.64 [3923]E(f316(f316(f243(x39231,x39232),f231(f905(x39231,a895))),f316(f16(f905(x39232,a895),x39231),f231(f905(x39232,a895)))),f231(f905(f904(x39231,x39232),a895)))
% 163.96/163.64 [3956]E(f316(f251(x39561),f316(f316(f8(a895,a895,x39561),a311),x39562)),f316(f73(f905(x39561,a895)),f316(f251(x39561),x39562)))
% 163.96/163.64 [3959]E(f316(f251(x39591),f316(f316(f7(x39591,x39591,a895),a313),x39592)),f316(f316(f298(x39591),x39592),f178(f905(x39591,a895))))
% 163.96/163.64 [3966]E(f316(f316(f74(a1),f316(f316(f23(a1),x39661),x39662)),f316(f316(f23(a1),x39661),x39662)),f316(f316(f23(a1),f316(f316(f74(a1),x39661),x39661)),f316(f316(f74(a1),x39662),x39662)))
% 163.96/163.64 [3967]E(f316(f316(f74(a1),f316(f316(f74(a1),x39671),x39671)),f316(f316(f74(a1),x39672),x39672)),f316(f316(f74(a1),f316(f316(f74(a1),x39671),x39672)),f316(f316(f74(a1),x39671),x39672)))
% 163.96/163.64 [3983]P107(f316(f316(f224(a898),f316(f28(x39831),f316(f162(x39831),x39832))),f316(f179(f899(x39831)),x39832)))
% 163.96/163.64 [3984]P107(f316(f316(f224(a898),f316(f179(f899(x39841)),f142(x39841,x39842))),f316(f179(f899(x39841)),x39842)))
% 163.96/163.64 [3994]E(f316(f251(x39941),f316(f316(f7(x39941,f905(x39941,a895),a895),f318(x39941)),x39942)),x39942)
% 163.96/163.64 [4008]E(f316(f316(f165(x40081),f316(f316(f23(a898),f316(f179(f899(x40081)),x40082)),f72(a898))),x40082),f104(x40081,x40082))
% 163.96/163.64 [4028]E(f175(a898,f2(a898),f316(f316(f8(a898,a898,a898),a102),f316(f222(a898),x40281)),x40282),f316(f316(f222(a898),f316(a102,x40281)),x40282))
% 163.96/163.64 [4033]E(f30(f905(x40331,a895),f316(f299(f905(f904(x40331,x40331),a895),f905(x40331,a895),f270(x40331)),x40332)),f316(f270(x40331),f30(f905(f904(x40331,x40331),a895),x40332)))
% 163.96/163.64 [4034]E(f175(a898,f316(a102,x40341),f316(f316(f8(a898,a898,a898),a102),f316(f223(a898),x40341)),x40342),f316(f316(f223(a898),f316(a102,x40341)),x40342))
% 163.96/163.64 [4036]E(f316(f316(f241(a1,a1),f316(f316(f29(a1),f316(f69(a1),x40361)),f316(f69(a1),x40362))),f38(a1,f316(f69(a1),x40361),f316(f69(a1),x40362))),f46(x40361,x40362))
% 163.96/163.64 [4059]P107(f316(f316(f224(f905(f905(x40591,a895),a895)),x40592),f316(f297(x40591),f30(f905(x40591,a895),x40592))))
% 163.96/163.64 [4091]E(f316(f316(f33(x40911,f905(x40911,a895)),x40912),f316(f316(f7(x40911,f905(x40911,a895),f905(x40911,a895)),f298(x40911)),f178(f905(x40911,a895)))),x40912)
% 163.96/163.64 [4092]E(f316(f316(f278(x40921,x40921,x40921),f316(f275(x40921,x40921),x40922)),f296(x40921,f316(f275(x40921,x40921),x40922))),f316(f275(x40921,x40921),f316(f316(f278(x40921,x40921,x40921),x40922),f296(x40921,x40922))))
% 163.96/163.64 [4156]E(f316(f162(x41561),f316(f132(f899(x41561),f899(x41561),f124(x41561),f103(x41561)),x41562)),f316(f316(f33(f899(x41561),f905(x41561,a895)),f316(f162(f899(x41561)),x41562)),f162(x41561)))
% 163.96/163.64 [4187]E(f316(f316(f100(f905(f904(x41871,x41871),a895)),f296(x41871,f178(f905(f904(x41871,x41871),a895)))),f316(f316(f278(x41871,x41871,x41871),f296(x41871,x41872)),x41872)),f296(x41871,x41872))
% 163.96/163.64 [4223]E(f316(f316(f171(x42231,x42231),x42232),x42232),f316(f316(f144(x42231,f904(x42231,x42231)),f316(f316(f18(x42231,x42231,f904(x42231,x42231)),f241(x42231,x42231)),f5(x42231))),x42232))
% 163.96/163.64 [4334]E(f316(f132(a898,f899(x43341),f316(f7(f899(x43341),a898,a898),f316(f316(f8(a898,f905(a898,a898),f899(x43341)),f223(a898)),f179(f899(x43341)))),f2(a898)),f316(f158(f899(x43341)),x43342)),f316(f179(f899(f899(x43341))),f169(x43341,x43342)))
% 163.96/163.64 [4406]E(f316(f316(f277(f904(a898,f899(x44061)),f899(x44061)),f308(a898,f899(x44061),a229,f135(x44061,x44062))),f316(f316(f18(f899(x44061),f899(x44061),f904(a898,f899(x44061))),f316(f316(f8(a898,f905(f899(x44061),f904(a898,f899(x44061))),f899(x44061)),f241(a898,f899(x44061))),f179(f899(x44061)))),f5(f899(x44061)))),f136(x44061,x44062))
% 163.96/163.64 [4533]E(f316(f251(x45331),f316(f316(f8(f905(f905(x45331,a895),a895),a895,x45331),f81(f905(x45331,a895))),f316(f316(f8(f905(f905(x45331,a895),a895),f905(f905(x45331,a895),a895),x45331),f316(f18(f905(x45331,a895),a895,a895),f316(f316(f8(a895,f905(a895,a895),f905(x45331,a895)),a314),f316(f316(f7(f905(x45331,a895),f905(f905(x45331,a895),a895),a895),f318(f905(x45331,a895))),x45332)))),f318(x45331)))),f30(f905(x45331,a895),x45332))
% 163.96/163.64 [4534]E(f316(f251(x45341),f316(f316(f8(f905(f905(x45341,a895),a895),a895,x45341),f82(f905(x45341,a895))),f316(f316(f8(f905(f905(x45341,a895),a895),f905(f905(x45341,a895),a895),x45341),f316(f18(f905(x45341,a895),a895,a895),f316(f316(f8(a895,f905(a895,a895),f905(x45341,a895)),a319),f316(f316(f7(f905(x45341,a895),f905(f905(x45341,a895),a895),a895),f318(f905(x45341,a895))),x45342)))),f318(x45341)))),f31(f905(x45341,a895),x45342))
% 163.96/163.64 [4643]~P107(f316(f316(f225(a1),f316(f90(a1),x46431)),f316(f73(a1),f316(f90(a1),x46432))))
% 163.96/163.64 [3634]E(f316(f316(f23(a898),f316(f316(f74(a898),x36341),x36342)),x36342),x36341)
% 163.96/163.64 [3635]E(f316(f316(f23(a898),f316(f316(f74(a898),x36351),x36352)),x36351),x36352)
% 163.96/163.64 [3699]E(f316(f316(f74(a898),f316(f316(f23(a898),x36991),x36992)),x36992),f316(f316(f223(a898),x36991),x36992))
% 163.96/163.64 [3810]E(f316(f316(f75(a898),f316(f316(f29(a898),x38101),x38102)),x38102),f316(f316(f23(a898),x38101),f38(a898,x38101,x38102)))
% 163.96/163.64 [3837]E(f316(f162(a898),f129(a898,f316(f291(a898,f316(a102,x38371)),x38372))),f295(a898,x38371,x38372))
% 163.96/163.64 [3845]E(f316(f90(a1),f206(f316(a94,f316(f69(a1),x38451)),f316(a94,f316(f69(a1),x38452)))),f316(f316(a207,x38451),x38452))
% 163.96/163.64 [3847]E(f316(f316(f100(f905(x38471,a895)),f316(f73(f905(x38471,a895)),x38472)),x38472),f231(f905(x38471,a895)))
% 163.96/163.64 [3848]E(f316(f316(f91(f905(x38481,a895)),f316(f73(f905(x38481,a895)),x38482)),x38482),f178(f905(x38481,a895)))
% 163.96/163.64 [3864]P107(f316(f316(f224(a898),f316(f316(f23(a898),x38641),x38642)),x38641))
% 163.96/163.64 [3865]P107(f316(f316(f224(a898),f316(f316(f29(a898),x38651),x38652)),x38651))
% 163.96/163.64 [3889]P107(f316(f316(f225(a898),x38891),f316(a102,f316(f316(f74(a898),x38892),x38891))))
% 163.96/163.64 [3890]P107(f316(f316(f225(a898),x38901),f316(a102,f316(f316(f74(a898),x38901),x38902))))
% 163.96/163.64 [3907]E(f316(f316(f75(a898),f316(a94,f316(f69(a1),x39071))),f316(a94,f316(f69(a1),x39072))),f316(a94,f316(f69(a1),f316(f316(f75(a1),x39071),x39072))))
% 163.96/163.64 [3919]P107(f316(f316(f224(a1),f2(a1)),f316(f316(f233(a1),f316(f69(a1),x39191)),x39192)))
% 163.96/163.64 [3987]E(f316(f274(f899(x39871),f899(x39871),f148(x39871,x39872)),f316(f316(f298(f899(x39871)),f103(x39871)),f178(f905(f899(x39871),a895)))),f316(f316(f298(f899(x39871)),f103(x39871)),f178(f905(f899(x39871),a895))))
% 163.96/163.64 [4006]E(f316(f316(f100(f905(f904(x40061,x40061),a895)),f296(x40061,x40062)),f296(x40061,f178(f905(f904(x40061,x40061),a895)))),f296(x40061,x40062))
% 163.96/163.64 [4018]E(f316(f316(f29(a1),f316(f93(a1),f316(f316(f74(a1),x40181),x40181))),f316(f93(a1),f316(f316(f74(a1),x40182),x40182))),f316(f316(f29(a1),f316(f93(a1),x40181)),f316(f93(a1),x40182)))
% 163.96/163.64 [4081]E(f316(f316(f233(a1),x40811),f316(f93(a898),f316(f316(f74(a1),x40812),x40812))),f316(f316(f80(a1,a1),f316(f316(f233(a1),x40811),f316(f93(a898),x40812))),f316(f316(f18(a1,a1,a1),f75(a1)),f5(a1))))
% 163.96/163.64 [4087]E(f316(f251(f905(x40871,a895)),f316(f316(f7(f905(x40871,a895),f905(x40871,a895),a895),f224(f905(x40871,a895))),x40872)),f316(f297(x40871),x40872))
% 163.96/163.64 [4103]E(f316(f316(f144(a1,a898),a94),f316(f316(f124(a1),f316(f316(f144(a898,a1),f90(a1)),x41031)),f316(f316(f144(a898,a1),f90(a1)),x41032))),f316(f316(f124(a898),x41031),x41032))
% 163.96/163.64 [4134]E(f316(f299(a1,a1,f316(f316(f7(a1,a1,a1),f74(a1)),x41341)),f316(f291(a1,f2(a1)),f316(f316(f23(a1),x41342),x41341))),f316(f291(a1,x41341),x41342))
% 163.96/163.64 [4136]P53(x41361,f316(f316(f23(f905(f904(x41361,x41361),a895)),x41362),f296(x41361,f178(f905(f904(x41361,x41361),a895)))))
% 163.96/163.64 [4154]E(f316(f179(f899(x41541)),f316(f132(f899(x41541),f899(x41541),f124(x41541),f103(x41541)),x41542)),f316(f155(a898),f316(f316(f144(f899(x41541),a898),f179(f899(x41541))),x41542)))
% 163.96/163.64 [4158]P52(x41581,f231(f905(x41581,a895)),f316(f316(f100(f905(f904(x41581,x41581),a895)),x41582),f296(x41581,f178(f905(f904(x41581,x41581),a895)))))
% 163.96/163.64 [4203]E(f175(a898,f2(a898),f316(f316(f8(a898,a898,a898),a102),f316(f316(f7(a898,a898,a898),f222(a898)),x42031)),x42032),f316(f316(f222(a898),x42032),f316(a102,x42031)))
% 163.96/163.64 [4206]E(f175(a898,f316(a102,x42061),f316(f316(f8(a898,a898,a898),a102),f316(f316(f7(a898,a898,a898),f223(a898)),x42061)),x42062),f316(f316(f223(a898),x42062),f316(a102,x42061)))
% 163.96/163.64 [4209]E(f316(f299(x42091,f899(x42091),f316(f316(f7(x42091,f899(x42091),f899(x42091)),f141(x42091)),f103(x42091))),x42092),f164(x42091,x42092,f316(f316(f298(f899(x42091)),f103(x42091)),f178(f905(f899(x42091),a895)))))
% 163.96/163.64 [4211]E(f316(f316(f100(f905(f904(x42111,x42111),a895)),f316(f316(f278(x42111,x42111,x42111),x42112),f296(x42111,x42112))),f296(x42111,f178(f905(f904(x42111,x42111),a895)))),f296(x42111,x42112))
% 163.96/163.64 [4218]P107(f316(f316(f224(f905(f904(x42181,x42181),a895)),f252(x42181,x42182)),f316(f316(f243(x42181,x42181),x42182),f316(f16(f905(x42181,a895),x42181),x42182))))
% 163.96/163.64 [4221]E(f316(f299(a1,a898,a94),f316(f316(f100(f905(a1,a895)),f316(f299(a898,a1,f90(a1)),x42211)),f316(f299(a898,a1,f90(a1)),x42212))),f316(f316(f100(f905(a898,a895)),x42211),x42212))
% 163.96/163.64 [4222]E(f316(f299(a1,a898,a94),f316(f316(f91(f905(a1,a895)),f316(f299(a898,a1,f90(a1)),x42221)),f316(f299(a898,a1,f90(a1)),x42222))),f316(f316(f91(f905(a898,a895)),x42221),x42222))
% 163.96/163.64 [4225]E(f316(f251(x42251),f316(f316(f8(a895,a895,x42251),a311),f316(f316(f7(x42251,f905(x42251,a895),a895),f318(x42251)),x42252))),f316(f73(f905(x42251,a895)),x42252))
% 163.96/163.64 [4252]E(f316(f132(f899(x42521),f899(x42521),f124(x42521),f103(x42521)),f316(f316(f144(f899(x42521),f899(x42521)),f158(x42521)),f316(f158(f899(x42521)),x42522))),f316(f158(x42521),f316(f132(f899(x42521),f899(x42521),f124(x42521),f103(x42521)),x42522)))
% 163.96/163.64 [4278]E(f316(f316(f33(a898,f905(f904(x42781,x42781),a895)),f231(f905(a898,a895))),f316(f316(f7(a898,f905(f904(x42781,x42781),a895),f905(f904(x42781,x42781),a895)),f173(f904(x42781,x42781),a895)),x42782)),f296(x42781,x42782))
% 163.96/163.64 [4296]E(f79(x42961,f316(f316(f8(f905(x42961,a895),a895,x42961),f316(a313,x42962)),f316(f316(f7(x42961,f905(x42961,a895),f905(x42961,a895)),f298(x42961)),f178(f905(x42961,a895))))),f301(x42961,x42962))
% 163.96/163.64 [4304]E(f316(f179(f899(x43041)),f142(x43041,f316(f132(f899(x43041),f899(x43041),f124(x43041),f103(x43041)),x43042))),f316(f28(x43041),f316(f316(f33(f899(x43041),f905(x43041,a895)),f316(f162(f899(x43041)),x43042)),f162(x43041))))
% 163.96/163.64 [4318]E(f316(f316(f100(f905(f904(x43181,x43181),a895)),x43182),f316(f316(f278(x43181,x43181,x43181),f316(f316(f278(x43181,x43181,x43181),x43182),f296(x43181,x43182))),x43182)),f316(f316(f278(x43181,x43181,x43181),x43182),f296(x43181,x43182)))
% 163.96/163.64 [4342]P107(f316(f316(f224(f905(f904(x43421,x43421),a895)),f316(f316(f278(x43421,x43421,x43421),x43422),f296(x43421,x43422))),f316(f316(f243(x43421,x43421),f316(f270(x43421),x43422)),f316(f16(f905(x43421,a895),x43421),f316(f270(x43421),x43422)))))
% 163.96/163.64 [4383]E(f316(f251(f899(x43831)),f316(f316(f7(f899(x43831),f905(x43831,a895),a895),f316(f316(f8(f905(x43831,a895),f905(f905(x43831,a895),a895),f899(x43831)),f224(f905(x43831,a895))),f162(x43831))),x43832)),f151(x43831,x43832))
% 163.96/163.64 [4394]E(f316(f146(f899(x43941),x43941,f103(x43941),f316(f316(f8(f899(x43941),f905(f899(x43941),f899(x43941)),x43941),f316(f7(f899(x43941),f899(x43941),f899(x43941)),f124(x43941))),f316(f316(f7(x43941,f899(x43941),f899(x43941)),f141(x43941)),f103(x43941)))),x43942),f316(f157(x43941),x43942))
% 163.96/163.64 [4434]P22(f905(x44341,x44342),f905(f904(x44341,x44342),a895),f316(f316(f8(f905(f904(x44341,x44342),a895),f905(f904(x44341,x44342),a895),f905(x44341,x44342)),f251(f904(x44341,x44342))),f316(f316(f8(f905(x44341,f905(x44342,a895)),f905(f904(x44341,x44342),a895),f905(x44341,x44342)),f246(x44341,x44342,a895)),f316(f8(x44342,f905(x44342,a895),x44341),f316(f7(x44342,x44342,a895),a313)))),f231(f905(f905(x44341,x44342),a895)))
% 163.96/163.64 [4439]E(f38(a1,f316(f93(a1),f316(f316(f74(a1),x44391),x44391)),f316(f93(a1),f316(f316(f74(a1),x44392),x44392))),f316(f316(f75(a1),f316(f93(a1),f316(f316(f74(a1),f316(f316(f23(a1),f316(f316(f74(a1),a77),a77)),a87)),f316(f316(f23(a1),f316(f316(f74(a1),a77),a77)),a87)))),f38(a1,f316(f93(a1),x44391),f316(f93(a1),x44392))))
% 163.96/163.64 [4483]E(f316(f316(f33(x44831,f905(f904(x44831,x44831),a895)),x44832),f316(f316(f7(x44831,f905(f904(x44831,x44831),a895),f905(f904(x44831,x44831),a895)),f316(f316(f8(f904(x44831,x44831),f905(f905(f904(x44831,x44831),a895),f905(f904(x44831,x44831),a895)),x44831),f298(f904(x44831,x44831))),f316(f316(f18(x44831,x44831,f904(x44831,x44831)),f241(x44831,x44831)),f5(x44831)))),f178(f905(f904(x44831,x44831),a895)))),f252(x44831,x44832))
% 163.96/163.64 [4491]E(f192(x44911,f316(f316(f241(a1,a1),f316(f73(a1),f316(f316(f66(f904(a1,a1),a1,x44911,f240(a1,a1)),f202(x44911)),x44912))),f316(f316(f66(f904(a1,a1),a1,x44911,f245(a1,a1)),f202(x44911)),x44912))),f217(x44911,x44912))
% 163.96/163.64 [4572]E(f316(f251(f905(x45721,a895)),f316(f316(f8(f905(f905(x45721,a895),a895),a895,f905(x45721,a895)),f81(f905(x45721,a895))),f316(f316(f7(f905(x45721,a895),f905(f905(x45721,a895),a895),f905(f905(x45721,a895),a895)),f316(f316(f8(f905(f905(x45721,a895),f905(a895,a895)),f905(f905(f905(x45721,a895),a895),f905(f905(x45721,a895),a895)),f905(x45721,a895)),f18(f905(x45721,a895),a895,a895)),f316(f316(f8(f905(f905(x45721,a895),a895),f905(f905(x45721,a895),f905(a895,a895)),f905(x45721,a895)),f316(f8(a895,f905(a895,a895),f905(x45721,a895)),a314)),f316(f316(f7(f905(x45721,a895),f905(f905(x45721,a895),f905(x45721,a895)),f905(f905(x45721,a895),a895)),f316(f316(f8(f905(f905(x45721,a895),a895),f905(f905(f905(x45721,a895),f905(x45721,a895)),f905(f905(x45721,a895),a895)),f905(x45721,a895)),f8(f905(x45721,a895),a895,f905(x45721,a895))),a313)),f73(f905(x45721,a895)))))),f316(f316(f8(f905(f905(x45721,a895),a895),a895,f905(x45721,a895)),f316(f318(f905(x45721,a895)),x45722)),f297(x45721))))),f316(f297(x45721),f316(f73(f905(x45721,a895)),x45722)))
% 163.96/163.64 [4641]~E(f316(f316(f74(a1),x46411),x46411),f316(f316(f23(a1),f316(f316(f74(a1),x46412),x46412)),a87))
% 163.96/163.64 [4645]~P107(f316(f316(f225(a898),f316(f316(f74(a898),x46451),x46452)),x46452))
% 163.96/163.64 [4646]~P107(f316(f316(f225(a898),f316(f316(f74(a898),x46461),x46462)),x46461))
% 163.96/163.64 [3924]E(f316(f316(f23(a898),x39241),f316(f316(f75(a898),f316(f316(f29(a898),x39241),x39242)),x39242)),f38(a898,x39241,x39242))
% 163.96/163.64 [3925]E(f316(f316(f23(a1),x39251),f316(f316(f75(a1),f316(f316(f29(a1),x39251),x39252)),x39252)),f38(a1,x39251,x39252))
% 163.96/163.64 [3957]E(f316(f316(f144(a898,x39571),f316(f154(x39571),x39572)),f129(a898,f316(f291(a898,f2(a898)),f316(f179(f899(x39571)),x39572)))),x39572)
% 163.96/163.64 [4014]E(f316(f274(x40141,x40141,f296(x40141,f178(f905(f904(x40141,x40141),a895)))),x40142),x40142)
% 163.96/163.64 [4139]E(f296(x41391,f316(f316(f23(f905(f904(x41391,x41391),a895)),x41392),f296(x41391,f178(f905(f904(x41391,x41391),a895))))),f296(x41391,x41392))
% 163.96/163.64 [4140]E(f296(x41401,f316(f316(f100(f905(f904(x41401,x41401),a895)),x41402),f296(x41401,f178(f905(f904(x41401,x41401),a895))))),f296(x41401,x41402))
% 163.96/163.64 [4190]E(f316(f316(f23(a1),f316(f316(f23(a1),f316(f316(f74(a1),x41901),x41901)),a87)),f316(f316(f23(a1),f316(f316(f74(a1),x41902),x41902)),a87)),f316(f316(f74(a1),f316(f316(f23(a1),x41901),x41902)),f316(f316(f23(a1),x41901),x41902)))
% 163.96/163.64 [4230]E(f316(f316(f23(a1),f316(f316(f74(a1),f316(f316(f74(a1),x42301),x42302)),f316(f316(f74(a1),x42301),x42302))),a87),f316(f316(f74(a1),f316(f316(f74(a1),x42301),x42301)),f316(f316(f23(a1),f316(f316(f74(a1),x42302),x42302)),a87)))
% 163.96/163.64 [4255]E(f316(f316(f74(a1),f316(f316(f23(a1),f316(f316(f74(a1),x42551),x42551)),a87)),f316(f316(f23(a1),f316(f316(f74(a1),x42552),x42552)),a87)),f316(f316(f74(a1),f316(f316(f74(a1),x42551),f316(f316(f23(a1),x42552),a87))),f316(f316(f74(a1),x42551),f316(f316(f23(a1),x42552),a87))))
% 163.96/163.64 [4266]E(f316(f316(f23(a1),f316(f316(f74(a1),f316(f316(f23(a1),x42661),x42662)),f316(f316(f23(a1),x42661),x42662))),a87),f316(f316(f23(a1),f316(f316(f23(a1),f316(f316(f74(a1),x42661),x42661)),a87)),f316(f316(f74(a1),x42662),x42662)))
% 163.96/163.64 [4267]E(f316(f316(f23(a1),f316(f316(f74(a1),f316(f316(f74(a1),x42671),x42672)),f316(f316(f74(a1),x42671),x42672))),a87),f316(f316(f74(a1),f316(f316(f23(a1),f316(f316(f74(a1),x42671),x42671)),a87)),f316(f316(f74(a1),x42672),x42672)))
% 163.96/163.64 [4315]E(f316(f90(a1),f316(f316(f29(a898),f316(f316(f75(a898),f316(a94,f316(f69(a1),x43151))),f316(a94,f316(f69(a1),x43152)))),f206(f316(a94,f316(f69(a1),x43151)),f316(a94,f316(f69(a1),x43152))))),f208(x43151,x43152))
% 163.96/163.64 [4360]E(f316(f316(f248(f904(a89,a89),a89,f904(a89,a89),f904(x43601,f904(a89,a89))),f256(f316(a3,f316(f179(f899(x43601)),x43602)))),f316(f316(f8(x43601,f905(f904(a89,a89),f904(x43601,f904(a89,a89))),a89),f241(x43601,f904(a89,a89))),f316(f316(f8(a898,x43601,a89),f316(f154(x43601),x43602)),a20))),f264(x43601,x43602))
% 163.96/163.64 [4440]E(f316(f132(a898,f899(x44401),f316(f7(f899(x44401),a898,a898),f316(f316(f8(a898,f905(a898,a898),f899(x44401)),f223(a898)),f179(f899(x44401)))),f2(a898)),f316(f158(f899(x44401)),f169(x44401,x44402))),f316(f179(f899(f899(x44401))),f316(f126(f899(x44401),f316(f316(f8(a895,a895,f899(x44401)),a311),f316(f316(f7(f899(x44401),f899(x44401),a895),a313),f103(x44401)))),x44402)))
% 163.96/163.64 [4446]E(f316(f316(f33(a898,f905(x44461,a895)),f231(f905(a898,a895))),f316(f316(f7(a898,f905(a898,f905(x44461,a895)),f905(x44461,a895)),f316(f316(f8(f905(a898,a895),f905(f905(a898,f905(x44461,a895)),f905(x44461,a895)),a898),f33(a898,f905(x44461,a895))),f291(a898,f2(a898)))),x44462)),f316(f316(f33(a898,f905(x44461,a895)),f231(f905(a898,a895))),x44462))
% 163.96/163.64 [4468]P107(f316(f54(a898),f316(f251(a898),f316(f316(f18(a898,a895,a895),f316(f316(f8(a895,f905(a895,a895),a898),a314),x44681)),f316(f316(f7(a898,a898,a895),f225(a898)),x44682)))))
% 163.96/163.64 [4580]E(f316(f251(f904(f899(x45801),f899(x45801))),f316(f246(f899(x45801),f899(x45801),a895),f316(f316(f18(f899(x45801),f905(f899(x45801),a895),f905(f899(x45801),a895)),f316(f316(f8(f905(f899(x45801),f905(a895,a895)),f905(f905(f899(x45801),a895),f905(f899(x45801),a895)),f899(x45801)),f18(f899(x45801),a895,a895)),f316(f316(f8(f905(f899(x45801),a895),f905(f899(x45801),f905(a895,a895)),f899(x45801)),f316(f8(a895,f905(a895,a895),f899(x45801)),a315)),f316(f316(f7(f899(x45801),f905(f899(x45801),a898),f905(f899(x45801),a895)),f316(f316(f8(f905(a898,a895),f905(f905(f899(x45801),a898),f905(f899(x45801),a895)),f899(x45801)),f8(a898,a895,f899(x45801))),f316(f316(f8(a898,f905(a898,a895),f899(x45801)),f225(a898)),f179(f899(x45801))))),f179(f899(x45801)))))),f316(f316(f18(f899(x45801),f905(f899(x45801),a895),f905(f899(x45801),a895)),f316(f316(f8(f905(f899(x45801),f905(a895,a895)),f905(f905(f899(x45801),a895),f905(f899(x45801),a895)),f899(x45801)),f18(f899(x45801),a895,a895)),f316(f316(f8(f905(f899(x45801),a895),f905(f899(x45801),f905(a895,a895)),f899(x45801)),f316(f8(a895,f905(a895,a895),f899(x45801)),a314)),f316(f316(f7(f899(x45801),f905(f899(x45801),a898),f905(f899(x45801),a895)),f316(f316(f8(f905(a898,a895),f905(f905(f899(x45801),a898),f905(f899(x45801),a895)),f899(x45801)),f8(a898,a895,f899(x45801))),f316(f316(f8(a898,f905(a898,a895),f899(x45801)),a313),f179(f899(x45801))))),f179(f899(x45801)))))),f316(f316(f7(f899(x45801),f905(f904(f899(x45801),f899(x45801)),a895),f905(f899(x45801),a895)),f316(f316(f8(f905(f899(x45801),f905(f905(f904(f899(x45801),f899(x45801)),a895),a895)),f905(f905(f904(f899(x45801),f899(x45801)),a895),f905(f899(x45801),a895)),f899(x45801)),f7(f899(x45801),f905(f904(f899(x45801),f899(x45801)),a895),a895)),f316(f316(f8(f905(f899(x45801),f904(f899(x45801),f899(x45801))),f905(f899(x45801),f905(f905(f904(f899(x45801),f899(x45801)),a895),a895)),f899(x45801)),f316(f8(f904(f899(x45801),f899(x45801)),f905(f905(f904(f899(x45801),f899(x45801)),a895),a895),f899(x45801)),f318(f904(f899(x45801),f899(x45801))))),f241(f899(x45801),f899(x45801))))),f135(x45801,x45802)))))),f136(x45801,x45802))
% 163.96/163.64 [4258]E(f316(f316(f74(a1),f316(f316(f74(a1),f316(f316(f75(a1),x42581),x42582)),f316(f316(f75(a1),x42581),x42582))),x42582),f316(f316(f75(a1),f316(f316(f23(a1),f316(f316(f74(a1),x42581),x42581)),a87)),x42582))
% 163.96/163.64 [4359]E(f316(a94,f316(a83,f316(f274(f904(a898,a898),f904(a898,a898),a98),f316(f316(f298(f904(a898,a898)),f316(f316(f241(a898,a898),x43591),x43592)),f178(f905(f904(a898,a898),a895)))))),f316(f316(f23(a898),x43591),x43592))
% 163.96/163.64 [4363]E(f316(f316(f278(x43631,x43631,x43631),f316(f316(f100(f905(f904(x43631,x43631),a895)),x43632),f296(x43631,f178(f905(f904(x43631,x43631),a895))))),f296(x43631,f316(f316(f100(f905(f904(x43631,x43631),a895)),x43632),f296(x43631,f178(f905(f904(x43631,x43631),a895)))))),f296(x43631,x43632))
% 163.96/163.64 [4400]E(f257(x44001,f316(f126(f904(a89,x44001),f316(f246(a89,x44001,a895),f316(f316(f8(a895,f905(x44001,a895),a89),f16(a895,x44001)),f316(f225(a89),f2(a89))))),x44002)),f257(x44001,x44002))
% 163.96/163.64 [4401]E(f255(x44011,f316(f126(f904(a89,x44011),f316(f246(a89,x44011,a895),f316(f316(f8(a895,f905(x44011,a895),a89),f16(a895,x44011)),f316(f225(a89),f2(a89))))),x44012)),f255(x44011,x44012))
% 163.96/163.64 [4403]E(f316(f73(a1),f316(a83,f316(f274(f904(a898,a898),f904(a898,a898),a98),f316(f316(f298(f904(a898,a898)),f316(f316(f241(a898,a898),x44031),x44032)),f178(f905(f904(a898,a898),a895)))))),f316(a83,f316(f274(f904(a898,a898),f904(a898,a898),a98),f316(f316(f298(f904(a898,a898)),f316(f316(f241(a898,a898),x44032),x44031)),f178(f905(f904(a898,a898),a895))))))
% 163.96/163.64 [4459]E(f316(f316(f277(f899(a898),x44591),f135(a898,a229)),f316(f316(f7(x44591,f899(f905(x44591,a898)),f899(a898)),f316(f316(f8(f905(f905(x44591,a898),a898),f905(f899(f905(x44591,a898)),f899(a898)),x44591),f144(f905(x44591,a898),a898)),f316(f7(f905(x44591,a898),x44591,a898),f5(f905(x44591,a898))))),x44592)),f143(x44591,x44592))
% 163.96/163.64 [4480]E(f316(f316(f80(a1,a898),f316(f93(a1),f316(f316(f74(a1),x44801),a87))),f316(f316(f18(a1,a898,a898),f316(f316(f7(a1,a898,f905(a898,a898)),f316(f316(f8(a895,f905(a898,f905(a898,a898)),a1),f86(a898)),a183)),f2(a898))),f316(f316(f8(a898,a898,a1),a102),f316(f316(f8(a898,a898,a1),f316(f222(a898),x44802)),a94)))),f316(f316(f222(a898),f316(a102,x44802)),f316(f93(a898),x44801)))
% 163.96/163.64 [4481]E(f316(f316(f80(a1,a898),f316(f93(a1),f316(f316(f74(a1),x44811),a87))),f316(f316(f18(a1,a898,a898),f316(f316(f7(a1,a898,f905(a898,a898)),f316(f316(f8(a895,f905(a898,f905(a898,a898)),a1),f86(a898)),a183)),f316(a102,x44812))),f316(f316(f8(a898,a898,a1),a102),f316(f316(f8(a898,a898,a1),f316(f223(a898),x44812)),a94)))),f316(f316(f223(a898),f316(a102,x44812)),f316(f93(a898),x44811)))
% 163.96/163.64 [4501]E(f316(f132(f899(x45011),f899(x45011),f124(x45011),f103(x45011)),f316(f316(f144(f899(x45011),f899(x45011)),f146(f899(x45011),x45011,f103(x45011),f316(f316(f8(f899(x45011),f905(f899(x45011),f899(x45011)),x45011),f16(f899(x45011),f899(x45011))),f316(f316(f7(x45011,f899(x45011),f899(x45011)),f141(x45011)),f103(x45011))))),x45012)),f316(f316(f144(f899(x45011),x45011),f131(x45011)),f316(f126(f899(x45011),f316(f316(f8(a895,a895,f899(x45011)),a311),f316(f316(f7(f899(x45011),f899(x45011),a895),a313),f103(x45011)))),x45012)))
% 163.96/163.64 [4563]E(f316(f246(a1,a1,a895),f316(f316(f7(a1,f905(a1,a895),f905(a1,a895)),f316(f316(f8(f905(a1,f905(a895,a895)),f905(f905(a1,a895),f905(a1,a895)),a1),f18(a1,a895,a895)),f316(f316(f8(f905(a1,a895),f905(a1,f905(a895,a895)),a1),f316(f8(a895,f905(a895,a895),a1),a314)),f316(f316(f8(f905(a1,a1),f905(a1,a895),a1),f316(f8(a1,a895,a1),f316(a313,x45631))),f316(f316(f8(a1,f905(a1,a1),a1),f74(a1)),f316(f75(a1),x45632)))))),f316(f316(f18(a1,a895,a895),f316(f316(f8(a895,f905(a895,a895),a1),a314),f316(f316(f8(a895,a895,a1),f316(a319,f316(f316(f225(a1),f2(a1)),x45632))),f316(f316(f18(a1,a895,a895),f316(f316(f8(a895,f905(a895,a895),a1),a314),f316(f224(a1),f2(a1)))),f316(f316(f7(a1,a1,a895),f225(a1)),x45632))))),f316(f316(f8(a895,a895,a1),f316(a319,f316(a311,f316(f316(f225(a1),f2(a1)),x45632)))),f316(f316(f18(a1,a895,a895),f316(f316(f8(a895,f905(a895,a895),a1),a314),f316(f225(a1),x45632))),f316(f316(f7(a1,a1,a895),f224(a1)),f2(a1))))))),f42(x45631,x45632))
% 163.96/163.64 [4566]E(f316(f251(x45661),f316(f316(f8(f905(a898,a895),a895,x45661),f81(a898)),f316(f316(f7(x45661,f905(a898,a895),f905(a898,a895)),f316(f316(f8(f905(a898,f905(a895,a895)),f905(f905(a898,a895),f905(a898,a895)),x45661),f18(a898,a895,a895)),f316(f316(f8(f905(a898,a895),f905(a898,f905(a895,a895)),x45661),f316(f8(a895,f905(a895,a895),a898),a314)),f316(f316(f7(x45661,f905(a898,x45661),f905(a898,a895)),f316(f316(f8(f905(x45661,a895),f905(f905(a898,x45661),f905(a898,a895)),x45661),f8(x45661,a895,a898)),a313)),f316(f154(x45661),x45662))))),f316(f316(f7(a898,a898,a895),f225(a898)),f316(f179(f899(x45661)),x45662))))),f316(f162(x45661),x45662))
% 163.96/163.64 [4373]E(f316(f316(f23(a1),f316(f316(f74(a1),f316(f316(f23(a1),f316(f316(f74(a1),x43731),a87)),x43732)),f316(f316(f23(a1),f316(f316(f74(a1),x43731),a87)),x43732))),a87),f316(f316(f23(a1),f316(f316(f74(a1),x43731),x43731)),f316(f316(f23(a1),f316(f316(f74(a1),x43732),x43732)),a87)))
% 163.96/163.64 [4496]E(f316(f132(f899(f899(x44961)),f899(f899(x44961)),f124(f899(x44961)),f103(f899(x44961))),f316(f316(f144(f899(x44961),f899(f899(x44961))),f146(f899(f899(x44961)),x44961,f103(f899(x44961)),f316(f16(f905(f899(x44961),f899(f899(x44961))),x44961),f316(f316(f7(f899(x44961),f899(f899(x44961)),f899(f899(x44961))),f141(f899(x44961))),f103(f899(x44961)))))),x44962)),f316(f316(f144(f899(x44961),f899(x44961)),f161(x44961)),f316(f126(f899(x44961),f316(f316(f8(a895,a895,f899(x44961)),a311),f316(f316(f7(f899(x44961),f899(x44961),a895),a313),f103(x44961)))),x44962)))
% 163.96/163.64 [4506]E(f316(f316(f80(a1,a898),f316(f93(a1),f316(f316(f74(a1),x45061),a87))),f316(f316(f18(a1,a898,a898),f316(f316(f7(a1,a898,f905(a898,a898)),f316(f316(f8(a895,f905(a898,f905(a898,a898)),a1),f86(a898)),a183)),f2(a898))),f316(f316(f8(a898,a898,a1),a102),f316(f316(f7(a1,a898,a898),f316(f316(f8(a898,f905(a898,a898),a1),f222(a898)),a94)),x45062)))),f316(f316(f222(a898),f316(f93(a898),x45061)),f316(a102,x45062)))
% 163.96/163.64 [4507]E(f316(f316(f80(a1,a898),f316(f93(a1),f316(f316(f74(a1),x45071),a87))),f316(f316(f18(a1,a898,a898),f316(f316(f7(a1,a898,f905(a898,a898)),f316(f316(f8(a895,f905(a898,f905(a898,a898)),a1),f86(a898)),a183)),f316(a102,x45072))),f316(f316(f8(a898,a898,a1),a102),f316(f316(f7(a1,a898,a898),f316(f316(f8(a898,f905(a898,a898),a1),f223(a898)),a94)),x45072)))),f316(f316(f223(a898),f316(f93(a898),x45071)),f316(a102,x45072)))
% 163.96/163.64 [4495]E(f316(f246(x44951,x44951,a895),f316(f316(f18(x44951,a895,f905(x44951,a895)),f316(f316(f8(f905(x44951,f905(a895,a895)),f905(a895,f905(x44951,a895)),x44951),f7(x44951,a895,a895)),f316(f316(f8(f905(x44951,a895),f905(x44951,f905(a895,a895)),x44951),f316(f8(a895,f905(a895,a895),x44951),a314)),a313))),x44952)),f252(x44951,x44952))
% 163.96/163.64 [4540]E(f316(f316(f29(a898),x45401),f316(f316(f74(a898),f316(f93(a898),f316(f316(f23(a1),f316(f316(f74(a1),f316(f316(f23(a1),f316(f316(f74(a1),a77),a77)),a87)),f316(f316(f23(a1),f316(f316(f74(a1),a77),a77)),a87))),a87))),x45402)),f316(f316(f29(a898),x45401),f316(a102,f316(a102,f316(a102,x45402)))))
% 163.96/163.64 [4541]E(f38(a898,x45411,f316(f316(f74(a898),f316(f93(a898),f316(f316(f23(a1),f316(f316(f74(a1),f316(f316(f23(a1),f316(f316(f74(a1),a77),a77)),a87)),f316(f316(f23(a1),f316(f316(f74(a1),a77),a77)),a87))),a87))),x45412)),f38(a898,x45411,f316(a102,f316(a102,f316(a102,x45412)))))
% 163.96/163.64 [4542]E(f38(a898,f316(f316(f74(a898),f316(f93(a898),f316(f316(f23(a1),f316(f316(f74(a1),f316(f316(f23(a1),f316(f316(f74(a1),a77),a77)),a87)),f316(f316(f23(a1),f316(f316(f74(a1),a77),a77)),a87))),a87))),x45421),x45422),f38(a898,f316(a102,f316(a102,f316(a102,x45421))),x45422))
% 163.96/163.64 [4554]E(f113(f316(x45541,f316(f316(f75(a89),f316(f93(a89),f316(f316(f23(a1),f316(f316(f74(a1),f316(f316(f23(a1),f316(f316(f74(a1),a77),a77)),a87)),f316(f316(f23(a1),f316(f316(f74(a1),a77),a77)),a87))),a87))),x45542))),f316(f190(x45541),x45542))
% 163.96/163.64 [4555]E(f316(f316(f29(a898),f316(f316(f74(a898),f316(f93(a898),f316(f316(f23(a1),f316(f316(f74(a1),f316(f316(f23(a1),f316(f316(f74(a1),a77),a77)),a87)),f316(f316(f23(a1),f316(f316(f74(a1),a77),a77)),a87))),a87))),x45551)),x45552),f316(f316(f29(a898),f316(a102,f316(a102,f316(a102,x45551)))),x45552))
% 163.96/163.64 [4607]~E(f116(x46071,x46072,x46073),f109(x46071))
% 163.96/163.64 [3362]E(f316(f182(x33621,x33622),x33623),f111(x33621,x33622))
% 163.96/163.64 [3381]E(f316(f189(x33811,x33812),x33813),f316(f119(x33811),x33812))
% 163.96/163.64 [3457]E(f316(f316(f144(x34571,x34572),x34573),f103(x34571)),f103(x34572))
% 163.96/163.64 [3496]E(f316(f174(x34961,x34962,x34963),f2(a898)),x34962)
% 163.96/163.64 [3498]E(f316(f316(f171(x34981,x34982),x34983),f103(x34982)),f103(f904(x34981,x34982)))
% 163.96/163.64 [3513]E(f316(f179(f899(x35131)),f159(x35131,x35132,x35133)),x35132)
% 163.96/163.64 [3532]E(f79(x35321,f55(x35321,x35322,x35323)),f316(f56(x35321,x35322),x35323))
% 163.96/163.64 [3536]E(f232(x35361,x35362,f232(x35362,x35361,x35363)),x35363)
% 163.96/163.64 [3556]E(f316(f158(x35561),f159(x35561,x35562,x35563)),f159(x35561,x35562,x35563))
% 163.96/163.64 [3581]E(f130(x35811,x35812,f142(x35811,x35813)),f142(x35811,f130(x35811,x35812,x35813)))
% 163.96/163.64 [3600]E(f316(f240(f899(x36001),f899(x36001)),f156(x36001,x36002,x36003)),f316(f126(x36001,x36002),x36003))
% 163.96/163.64 [3643]E(f316(f316(f141(x36431),x36432),f159(x36431,x36433,x36432)),f159(x36431,f316(a102,x36433),x36432))
% 163.96/163.64 [3675]E(f175(x36751,x36752,x36753,f2(a898)),x36752)
% 163.96/163.64 [3676]E(f17(x36761,x36762,x36763,f2(a89)),x36762)
% 163.96/163.64 [3677]E(f19(x36771,x36772,x36773,f2(a89)),x36772)
% 163.96/163.64 [3684]E(f153(x36841,x36842,x36843,f103(x36841)),f103(x36842))
% 163.96/163.64 [3685]E(f120(x36851,x36852,x36853,f109(x36851)),f109(x36852))
% 163.96/163.64 [3691]E(f316(f316(f154(x36911),f316(f316(f141(x36911),x36912),x36913)),f2(a898)),x36912)
% 163.96/163.64 [3719]E(f52(x37191,x37192,f103(x37191),x37193),f103(f904(x37191,x37192)))
% 163.96/163.64 [3739]P22(x37391,x37392,x37393,f178(f905(x37391,a895)))
% 163.96/163.64 [3841]E(f254(x38411,x38412,x38413),f316(f241(f905(a89,f905(a895,f902(f900(x38411)))),f904(a89,a89)),f34(x38411)))
% 163.96/163.64 [3898]E(f316(f66(x38981,x38982,x38981,x38983),f25(x38981)),x38983)
% 163.96/163.64 [4073]P107(f316(f316(f318(f904(x40731,x40731)),f316(f316(f241(x40731,x40731),x40732),x40732)),f296(x40731,x40733)))
% 163.96/163.64 [4650]~P107(f316(f316(f318(f904(f899(x46501),f899(x46501))),f316(f316(f241(f899(x46501),f899(x46501)),x46502),f103(x46501))),f135(x46501,x46503)))
% 163.96/163.64 [4651]~P107(f316(f316(f318(f904(f899(x46511),f899(x46511))),f316(f316(f241(f899(x46511),f899(x46511)),x46512),f103(x46511))),f137(x46511,x46513)))
% 163.96/163.64 [4652]~P107(f316(f316(f318(f904(f899(x46521),f899(x46521))),f316(f316(f241(f899(x46521),f899(x46521)),x46522),f103(x46521))),f147(x46521,x46523)))
% 163.96/163.64 [4653]~P107(f316(f316(f318(f904(f899(x46531),f899(x46531))),f316(f316(f241(f899(x46531),f899(x46531)),f103(x46531)),x46532)),f135(x46531,x46533)))
% 163.96/163.64 [4654]~P107(f316(f316(f318(f904(f899(x46541),f899(x46541))),f316(f316(f241(f899(x46541),f899(x46541)),f103(x46541)),x46542)),f147(x46541,x46543)))
% 163.96/163.64 [3432]E(f316(f316(f191(x34321),x34322),x34323),f192(x34321,f205(x34322,x34323)))
% 163.96/163.64 [3485]E(f316(f275(x34851,x34852),f316(f275(x34852,x34851),x34853)),x34853)
% 163.96/163.64 [3508]E(f316(f316(f171(x35081,x35082),f103(x35081)),x35083),f103(f904(x35081,x35082)))
% 163.96/163.64 [3511]E(f166(x35111,x35112,f316(f271(a898),x35113)),f316(f316(f165(x35111),x35113),x35112))
% 163.96/163.64 [3529]E(f142(x35291,f316(f126(x35291,x35292),x35293)),f316(f126(x35291,x35292),f142(x35291,x35293)))
% 163.96/163.64 [3530]E(f316(f273(x35301,x35302),f316(f275(x35302,x35301),x35303)),f316(f253(x35302,x35301),x35303))
% 163.96/163.64 [3531]E(f316(f253(x35311,x35312),f316(f275(x35312,x35311),x35313)),f316(f273(x35312,x35311),x35313))
% 163.96/163.64 [3549]E(f316(f126(x35491,x35492),f316(f158(x35491),x35493)),f316(f158(x35491),f316(f126(x35491,x35492),x35493)))
% 163.96/163.64 [3561]E(f316(f316(f128(x35611),x35612),f316(f161(x35611),x35613)),f316(f316(f128(x35611),f316(a102,x35612)),x35613))
% 163.96/163.64 [3577]E(f316(f274(x35771,x35772,x35773),f178(f905(x35771,a895))),f178(f905(x35772,a895)))
% 163.96/163.64 [3578]E(f316(f300(x35781,x35782,x35783),f178(f905(x35782,a895))),f178(f905(x35781,a895)))
% 163.96/163.64 [3579]E(f316(f300(x35791,x35792,x35793),f231(f905(x35792,a895))),f231(f905(x35791,a895)))
% 163.96/163.64 [3580]E(f316(f299(x35801,x35802,x35803),f178(f905(x35801,a895))),f178(f905(x35802,a895)))
% 163.96/163.64 [3606]E(f110(x36061,f116(f900(x36061),x36062,x36063)),f106(x36061,x36062,f110(x36061,x36063)))
% 163.96/163.64 [3608]E(f316(f316(f298(x36081),x36082),f316(f162(x36081),x36083)),f316(f162(x36081),f130(x36081,x36082,x36083)))
% 163.96/163.64 [3695]E(f316(f299(f904(x36951,x36952),x36952,f245(x36951,x36952)),x36953),f316(f273(x36951,x36952),x36953))
% 163.96/163.64 [3696]E(f316(f299(f904(x36961,x36962),x36961,f240(x36961,x36962)),x36963),f316(f253(x36961,x36962),x36963))
% 163.96/163.64 [3711]E(f316(f162(x37111),f159(x37111,f316(a102,x37112),x37113)),f316(f316(f298(x37111),x37113),f178(f905(x37111,a895))))
% 163.96/163.64 [3768]E(f316(f316(f241(x37681,x37682),f316(f240(x37681,x37682),x37683)),f316(f245(x37681,x37682),x37683)),x37683)
% 163.96/163.64 [3775]E(f316(f179(f900(x37751)),f116(x37751,x37752,x37753)),f316(f316(f74(a898),f316(f179(f900(x37751)),x37753)),f316(a102,f2(a898))))
% 163.96/163.64 [3777]E(f316(f316(f246(x37771,x37772,x37771),f16(x37771,x37772)),x37773),f316(f240(x37771,x37772),x37773))
% 163.96/163.64 [3903]E(f316(f66(x39031,x39031,x39032,f25(x39031)),x39033),x39033)
% 163.96/163.64 [3910]E(f316(f316(f124(x39101),f159(x39101,x39102,x39103)),f316(f316(f141(x39101),x39103),f103(x39101))),f316(f316(f141(x39101),x39103),f159(x39101,x39102,x39103)))
% 163.96/163.64 [4082]P107(f316(f316(f224(f905(x40821,a895)),f316(f162(x40821),f316(f126(x40821,x40822),x40823))),f316(f162(x40821),x40823)))
% 163.96/163.64 [4125]P107(f316(f316(f224(f905(x41251,a895)),f316(f162(x41251),f316(f316(f165(x41251),x41252),x41253))),f316(f162(x41251),x41253)))
% 163.96/163.64 [4126]P107(f316(f316(f224(f905(x41261,a895)),f316(f162(x41261),f316(f316(f128(x41261),x41262),x41263))),f316(f162(x41261),x41263)))
% 163.96/163.64 [4130]P107(f316(f316(f224(f905(x41301,a895)),f316(f162(x41301),f166(x41301,x41302,x41303))),f316(f162(x41301),x41302)))
% 163.96/163.64 [4131]P107(f316(f316(f224(f905(x41311,a895)),f316(f162(x41311),f160(x41311,x41312,x41313))),f316(f162(x41311),x41313)))
% 163.96/163.64 [4152]P22(f904(x41521,x41522),f904(x41522,x41521),f316(f246(x41521,x41522,f904(x41522,x41521)),f316(f7(x41522,x41521,f904(x41522,x41521)),f241(x41522,x41521))),x41523)
% 163.96/163.64 [4163]E(f316(f316(f316(f173(f899(x41631),f899(x41631)),f38(a898,x41632,f316(f179(f899(x41631)),x41633))),f157(x41631)),x41633),f316(f316(f316(f173(f899(x41631),f899(x41631)),x41632),f157(x41631)),x41633))
% 163.96/163.64 [4207]P107(f316(f316(f318(f904(f899(x42071),f899(x42071))),f316(f316(f241(f899(x42071),f899(x42071)),x42072),x42072)),f148(x42071,f296(x42071,x42073))))
% 163.96/163.64 [4346]E(f79(f904(x43461,x43462),f316(f316(f18(f904(x43461,x43462),x43462,a895),f316(f316(f8(x43461,f905(x43462,a895),f904(x43461,x43462)),x43463),f240(x43461,x43462))),f245(x43461,x43462))),f79(f904(x43461,x43462),f316(f246(x43461,x43462,a895),x43463)))
% 163.96/163.64 [4347]E(f84(f904(x43471,x43472),f316(f316(f18(f904(x43471,x43472),x43472,a895),f316(f316(f8(x43471,f905(x43472,a895),f904(x43471,x43472)),x43473),f240(x43471,x43472))),f245(x43471,x43472))),f84(f904(x43471,x43472),f316(f246(x43471,x43472,a895),x43473)))
% 163.96/163.64 [4380]E(f316(f316(f277(f904(a898,x43801),x43801),f308(a898,x43801,a229,x43802)),f316(f316(f18(x43801,x43801,f904(a898,x43801)),f316(f316(f8(a898,f905(x43801,f904(a898,x43801)),x43801),f241(a898,x43801)),x43803)),f5(x43801))),f310(x43801,x43803,x43802))
% 163.96/163.64 [4442]E(f316(f247(x44421,x44421,x44422,x44422,f5(x44421),f5(x44422)),x44423),x44423)
% 163.96/163.64 [4515]E(f316(f132(f899(f899(x45151)),f899(f899(x45151)),f124(f899(x45151)),f103(f899(x45151))),f316(f316(f144(f899(x45151),f899(f899(x45151))),f316(f316(f7(f899(x45151),f899(x45151),f899(f899(x45151))),f316(f316(f8(f905(x45151,f899(x45151)),f905(f899(x45151),f899(f899(x45151))),f899(x45151)),f144(x45151,f899(x45151))),f316(f7(x45151,f899(x45151),f899(x45151)),f141(x45151)))),x45152)),f48(x45151,x45153,x45152))),f48(x45151,f316(a102,x45153),x45152))
% 163.96/163.64 [4571]E(f213(a898,f904(x45711,f900(x45711)),f2(a898),f316(f246(x45711,f900(x45711),a898),f316(f316(f7(x45711,a898,f905(f900(x45711),a898)),f316(f316(f8(f905(f900(x45711),f905(a898,a898)),f905(a898,f905(f900(x45711),a898)),x45711),f7(f900(x45711),a898,a898)),f316(f316(f8(f905(f900(x45711),a898),f905(f900(x45711),f905(a898,a898)),x45711),f316(f8(a898,f905(a898,a898),f900(x45711)),f74(a898))),f316(f316(f7(x45711,f905(f900(x45711),a898),f905(f900(x45711),a898)),f316(f316(f8(f905(a898,a898),f905(f905(f900(x45711),a898),f905(f900(x45711),a898)),x45711),f8(a898,a898,f900(x45711))),f316(f316(f8(a898,f905(a898,a898),x45711),f74(a898)),x45712))),f115(x45711,x45712))))),f72(a898))),f316(f125(x45711),x45713)),f316(f115(x45711,x45712),x45713))
% 163.96/163.64 [4579]E(f316(f316(f80(a1,x45791),f208(f316(f316(f66(f904(a1,a1),a1,x45791,f245(a1,a1)),f202(x45791)),x45792),f316(f316(f66(f904(a1,a1),a1,x45791,f245(a1,a1)),f202(x45791)),x45793))),f316(f316(f18(a1,a1,x45791),f316(f316(f8(a1,f905(a1,x45791),a1),f191(x45791)),f316(f316(f18(a1,a1,a1),f316(f316(f8(a1,f905(a1,a1),a1),f74(a1)),f316(f316(f8(a1,a1,a1),f316(f75(a1),f316(f316(f66(f904(a1,a1),a1,x45791,f240(a1,a1)),f202(x45791)),x45792))),f316(f316(f7(a1,a1,a1),f29(a1)),f316(f316(f66(f904(a1,a1),a1,x45791,f245(a1,a1)),f202(x45791)),x45792))))),f316(f316(f8(a1,a1,a1),f316(f75(a1),f316(f316(f66(f904(a1,a1),a1,x45791,f240(a1,a1)),f202(x45791)),x45793))),f316(f316(f7(a1,a1,a1),f29(a1)),f316(f316(f66(f904(a1,a1),a1,x45791,f245(a1,a1)),f202(x45791)),x45793)))))),f5(a1))),f220(x45791,x45792,x45793))
% 163.96/163.64 [4602]~E(f316(f316(f141(x46021),x46022),x46023),x46023)
% 163.96/163.64 [4605]~E(f316(f316(f141(x46051),x46052),x46053),f103(x46051))
% 163.96/163.64 [4611]~E(f316(f316(f298(x46111),x46112),x46113),f178(f905(x46111,a895)))
% 163.96/163.64 [4632]~E(f316(f299(x46321,f905(x46321,a895),x46322),x46323),f316(f297(x46321),x46323))
% 163.96/163.64 [3490]E(f316(f316(f149(x34901,f103(x34901)),x34902),x34903),f103(x34901))
% 163.96/163.64 [3491]E(f316(f131(x34911),f316(f316(f141(x34911),x34912),x34913)),x34912)
% 163.96/163.64 [3492]E(f316(f161(x34921),f316(f316(f141(x34921),x34922),x34923)),x34923)
% 163.96/163.64 [3535]E(f316(f316(f128(x35351),f72(a898)),f316(f316(f141(x35351),x35352),x35353)),x35353)
% 163.96/163.64 [3568]E(f104(x35681,f316(f316(f128(x35681),x35682),x35683)),f316(f316(f128(x35681),x35682),f104(x35681,x35683)))
% 163.96/163.64 [3570]E(f316(f316(f149(x35701,x35702),x35703),f316(f316(f154(x35701),x35702),x35703)),x35702)
% 163.96/163.64 [3590]E(f316(f316(f298(x35901),x35902),f316(f316(f298(x35901),x35902),x35903)),f316(f316(f298(x35901),x35902),x35903))
% 163.96/163.64 [3603]E(f316(f316(f298(x36031),x36032),f316(f162(x36031),x36033)),f316(f162(x36031),f316(f316(f141(x36031),x36032),x36033)))
% 163.96/163.64 [3605]E(f316(f316(f128(x36051),x36052),f316(f161(x36051),x36053)),f316(f161(x36051),f316(f316(f128(x36051),x36052),x36053)))
% 163.96/163.64 [3617]E(f316(f316(f165(x36171),f72(a898)),f316(f316(f141(x36171),x36172),x36173)),f316(f316(f141(x36171),x36172),f103(x36171)))
% 163.96/163.64 [3660]E(f316(f56(x36601,x36602),f316(f316(f298(x36601),x36603),f178(f905(x36601,a895)))),x36603)
% 163.96/163.64 [3701]E(f316(f316(f74(a898),x37011),f316(f316(f74(a898),x37012),x37013)),f316(f316(f74(a898),x37012),f316(f316(f74(a898),x37011),x37013)))
% 163.96/163.64 [3702]E(f316(f316(f74(a1),x37021),f316(f316(f74(a1),x37022),x37023)),f316(f316(f74(a1),x37022),f316(f316(f74(a1),x37021),x37023)))
% 163.96/163.64 [3707]E(f316(f316(f243(x37071,x37072),f178(f905(x37071,a895))),x37073),f178(f905(f904(x37071,x37072),a895)))
% 163.96/163.64 [3731]E(f316(f316(f100(f905(x37311,a895)),x37312),x37313),f316(f316(f100(f905(x37311,a895)),x37313),x37312))
% 163.96/163.64 [3732]E(f316(f316(f91(f905(x37321,a895)),x37322),x37323),f316(f316(f91(f905(x37321,a895)),x37323),x37322))
% 163.96/163.64 [3734]E(f316(f316(f124(x37341),x37342),f316(f316(f141(x37341),x37343),f103(x37341))),f316(f157(x37341),f316(f316(f141(x37341),x37343),x37342)))
% 163.96/163.64 [3735]E(f316(f316(f124(x37351),f316(f158(x37351),x37352)),f316(f158(x37351),x37353)),f316(f158(x37351),f316(f316(f124(x37351),x37353),x37352)))
% 163.96/163.64 [3745]E(f316(f161(x37451),f316(f316(f165(x37451),f316(a102,x37452)),x37453)),f316(f316(f165(x37451),x37452),f316(f161(x37451),x37453)))
% 163.96/163.64 [3753]P107(f316(f316(f318(x37531),x37532),f316(f316(f298(x37531),x37532),x37533)))
% 163.96/163.64 [3757]E(f316(f316(f32(x37571,f905(x37572,a895)),f178(f905(x37571,a895))),x37573),f231(f905(x37572,a895)))
% 163.96/163.64 [3760]E(f316(f274(x37601,x37601,f252(x37601,x37602)),x37603),f316(f316(f91(f905(x37601,a895)),x37602),x37603))
% 163.96/163.64 [3774]E(f316(f179(f899(x37741)),f316(f316(f141(x37741),x37742),x37743)),f316(f316(f74(a898),f316(f179(f899(x37741)),x37743)),f316(a102,f2(a898))))
% 163.96/163.64 [3779]E(f104(x37791,f316(f316(f124(x37791),x37792),f316(f316(f141(x37791),x37793),f103(x37791)))),x37792)
% 163.96/163.64 [3780]E(f134(x37801,f316(f316(f124(x37801),x37802),f316(f316(f141(x37801),x37803),f103(x37801)))),x37803)
% 163.96/163.64 [3788]E(f316(f316(f124(x37881),f316(f316(f165(x37881),x37882),x37883)),f316(f316(f128(x37881),x37882),x37883)),x37883)
% 163.96/163.64 [3797]E(f316(f316(f23(a898),f316(f316(f74(a898),x37971),x37972)),f316(f316(f74(a898),x37973),x37972)),f316(f316(f23(a898),x37971),x37973))
% 163.96/163.64 [3798]E(f316(f316(f23(a898),f316(f316(f74(a898),x37981),x37982)),f316(f316(f74(a898),x37981),x37983)),f316(f316(f23(a898),x37982),x37983))
% 163.96/163.64 [3804]E(f316(f316(f124(x38041),f316(f158(x38041),x38042)),f316(f316(f141(x38041),x38043),f103(x38041))),f316(f158(x38041),f316(f316(f141(x38041),x38043),x38042)))
% 163.96/163.64 [3806]E(f316(f316(f74(a898),f316(f179(f899(x38061)),x38062)),f316(f179(f899(x38061)),x38063)),f316(f179(f899(x38061)),f316(f316(f124(x38061),x38062),x38063)))
% 163.96/163.64 [3809]E(f316(f316(f74(a898),f316(f179(f899(x38091)),x38092)),f316(f179(f899(x38091)),x38093)),f316(f179(f899(x38091)),f163(x38091,x38092,x38093)))
% 163.96/163.64 [3816]E(f316(f316(f100(f905(x38161,a895)),f316(f162(x38161),x38162)),f316(f162(x38161),x38163)),f316(f162(x38161),f316(f316(f124(x38161),x38162),x38163)))
% 163.96/163.64 [3817]E(f38(a898,f316(f316(f75(a898),x38171),x38172),f316(f316(f75(a898),x38171),x38173)),f316(f316(f75(a898),x38171),f38(a898,x38172,x38173)))
% 163.96/163.64 [3829]E(f316(f316(f165(x38291),f316(f316(f23(a898),x38292),f72(a898))),f316(f161(x38291),x38293)),f316(f161(x38291),f316(f316(f165(x38291),x38292),x38293)))
% 163.96/163.64 [3834]E(f316(f316(f91(f905(x38341,a895)),x38342),f316(f73(f905(x38341,a895)),x38343)),f316(f316(f23(f905(x38341,a895)),x38342),x38343))
% 163.96/163.64 [3835]E(f316(f316(f23(f905(x38351,a895)),x38352),f316(f73(f905(x38351,a895)),x38353)),f316(f316(f91(f905(x38351,a895)),x38352),x38353))
% 163.96/163.64 [3857]E(f316(f316(f243(x38571,x38572),x38573),f316(f16(f905(x38572,a895),x38571),f178(f905(x38572,a895)))),f178(f905(f904(x38571,x38572),a895)))
% 163.96/163.64 [3859]E(f316(f316(f23(a898),f316(f316(f75(a898),x38591),x38592)),f316(f316(f75(a898),x38591),x38593)),f316(f316(f75(a898),x38591),f316(f316(f23(a898),x38592),x38593)))
% 163.96/163.64 [3860]E(f316(f316(f74(a898),f316(f316(f75(a898),x38601),x38602)),f316(f316(f75(a898),x38601),x38603)),f316(f316(f75(a898),x38601),f316(f316(f74(a898),x38602),x38603)))
% 163.96/163.64 [3861]E(f316(f316(f23(a1),f316(f316(f75(a1),x38611),x38612)),f316(f316(f75(a1),x38611),x38613)),f316(f316(f75(a1),x38611),f316(f316(f23(a1),x38612),x38613)))
% 163.96/163.64 [3862]E(f316(f316(f74(a1),f316(f316(f75(a1),x38621),x38622)),f316(f316(f75(a1),x38621),x38623)),f316(f316(f75(a1),x38621),f316(f316(f74(a1),x38622),x38623)))
% 163.96/163.64 [3863]E(f316(f316(f75(a1),f316(f316(f233(a1),x38631),x38632)),f316(f316(f233(a1),x38631),x38633)),f316(f316(f233(a1),x38631),f316(f316(f74(a898),x38632),x38633)))
% 163.96/163.64 [3877]E(f316(f316(f33(x38771,f905(x38772,a895)),x38773),f316(f16(f905(x38772,a895),x38771),f178(f905(x38772,a895)))),f178(f905(x38772,a895)))
% 163.96/163.64 [3879]E(f38(a898,f316(f316(f75(a898),x38791),x38792),f316(f316(f75(a898),x38793),x38792)),f316(f316(f75(a898),f38(a898,x38791,x38793)),x38792))
% 163.96/163.64 [3884]E(f38(a1,f316(f316(f23(a1),x38841),f38(a1,x38842,x38843)),x38843),f38(a1,f316(f316(f23(a1),x38841),x38842),x38843))
% 163.96/163.64 [3885]E(f38(a1,f316(f316(f75(a1),x38851),f38(a1,x38852,x38853)),x38853),f38(a1,f316(f316(f75(a1),x38851),x38852),x38853))
% 163.96/163.64 [3886]P107(f316(f316(f224(f905(x38861,a895)),x38862),f316(f316(f298(x38861),x38863),x38862)))
% 163.96/163.64 [3961]E(f316(f316(f32(f905(x39611,a895),f905(x39611,a895)),x39612),f316(f100(f905(x39611,a895)),x39613)),f316(f316(f100(f905(x39611,a895)),x39613),f31(f905(x39611,a895),x39612)))
% 163.96/163.64 [3962]E(f316(f316(f33(f905(x39621,a895),f905(x39621,a895)),x39622),f316(f91(f905(x39621,a895)),x39623)),f316(f316(f91(f905(x39621,a895)),x39623),f30(f905(x39621,a895),x39622)))
% 163.96/163.64 [3974]E(f316(f162(x39741),f316(f316(f316(f173(f899(x39741),f899(x39741)),x39742),f157(x39741)),x39743)),f316(f162(x39741),x39743))
% 163.96/163.64 [3978]E(f316(f316(f165(x39781),f316(f179(f899(x39781)),f167(x39781,x39782,x39783))),x39783),f167(x39781,x39782,x39783))
% 163.96/163.64 [3982]E(f316(f179(f899(x39821)),f316(f316(f316(f173(f899(x39821),f899(x39821)),x39822),f157(x39821)),x39823)),f316(f179(f899(x39821)),x39823))
% 163.96/163.64 [3985]E(f316(f316(f246(x39851,x39852,x39852),f316(f16(f905(x39852,x39852),x39851),f5(x39852))),x39853),f316(f245(x39851,x39852),x39853))
% 163.96/163.64 [3991]E(f38(a1,f316(f316(f23(a1),f38(a1,x39911,x39912)),x39913),x39912),f38(a1,f316(f316(f23(a1),x39911),x39913),x39912))
% 163.96/163.64 [3992]E(f38(a1,f316(f316(f233(a1),f38(a1,x39921,x39922)),x39923),x39922),f38(a1,f316(f316(f233(a1),x39921),x39923),x39922))
% 163.96/163.64 [3995]E(f316(f316(f33(f905(f904(x39951,x39952),a895),f905(x39952,a895)),x39953),f273(x39951,x39952)),f316(f273(x39951,x39952),f30(f905(f904(x39951,x39952),a895),x39953)))
% 163.96/163.64 [3996]E(f316(f316(f33(f905(f904(x39961,x39962),a895),f905(x39961,a895)),x39963),f253(x39961,x39962)),f316(f253(x39961,x39962),f30(f905(f904(x39961,x39962),a895),x39963)))
% 163.96/163.64 [4019]E(f316(f66(x40191,x40191,x40191,x40192),f316(f316(f173(x40191,x40191),x40193),x40192)),f316(f316(f173(x40191,x40191),f316(a102,x40193)),x40192))
% 163.96/163.64 [4037]E(f316(f316(f128(x40371),f316(f316(f23(a898),f316(f179(f899(x40371)),x40372)),x40373)),f316(f158(x40371),x40372)),f316(f158(x40371),f316(f316(f165(x40371),x40373),x40372)))
% 163.96/163.64 [4038]E(f316(f316(f165(x40381),f316(f316(f23(a898),f316(f179(f899(x40381)),x40382)),x40383)),f316(f158(x40381),x40382)),f316(f158(x40381),f316(f316(f128(x40381),x40383),x40382)))
% 163.96/163.64 [4040]E(f316(f316(f74(a898),f316(f155(a898),f316(f316(f144(x40401,a898),x40402),x40403))),f316(f179(f899(x40401)),x40403)),f145(x40401,x40402,x40403))
% 163.96/163.64 [4060]E(f316(f157(x40601),f316(f316(f316(f173(f899(x40601),f899(x40601)),x40602),f157(x40601)),x40603)),f316(f316(f316(f173(f899(x40601),f899(x40601)),f316(a102,x40602)),f157(x40601)),x40603))
% 163.96/163.64 [4074]P107(f316(f316(f224(a898),f316(f179(f899(x40741)),f316(f126(x40741,x40742),x40743))),f316(f179(f899(x40741)),x40743)))
% 163.96/163.64 [4090]E(f316(f316(f100(f905(f905(x40901,a895),a895)),f316(f297(x40901),x40902)),f316(f299(f905(x40901,a895),f905(x40901,a895),f316(f298(x40901),x40903)),f316(f297(x40901),x40902))),f316(f297(x40901),f316(f316(f298(x40901),x40903),x40902)))
% 163.96/163.64 [4122]P107(f316(f316(f224(a898),f316(f179(f899(x41221)),f167(x41221,x41222,x41223))),f316(f179(f899(x41221)),x41223)))
% 163.96/163.64 [4129]E(f316(f253(x41291,x41292),f316(f251(f904(x41291,x41292)),f316(f246(x41291,x41292,a895),x41293))),f316(f251(x41291),f316(f316(f8(f905(x41292,a895),a895,x41291),f81(x41292)),x41293)))
% 163.96/163.64 [4141]E(f316(f299(a898,a898,f316(f316(f7(a898,a898,a898),f74(a898)),x41411)),f292(a898,x41412,x41413)),f292(a898,f316(f316(f74(a898),x41412),x41411),f316(f316(f74(a898),x41413),x41411)))
% 163.96/163.64 [4155]E(f316(f299(a898,a898,f316(f316(f7(a898,a898,a898),f74(a898)),x41551)),f316(f291(a898,x41552),x41553)),f316(f291(a898,f316(f316(f74(a898),x41552),x41551)),f316(f316(f74(a898),x41553),x41551)))
% 163.96/163.64 [4173]E(f316(f316(f171(x41731,x41732),f316(f316(f144(f904(x41731,x41732),x41731),f240(x41731,x41732)),x41733)),f316(f316(f144(f904(x41731,x41732),x41732),f245(x41731,x41732)),x41733)),x41733)
% 163.96/163.64 [4178]E(f316(f316(f74(a898),f316(f316(f75(a898),x41781),f38(a898,f316(f316(f29(a898),x41782),x41781),x41783))),f38(a898,x41782,x41781)),f38(a898,x41782,f316(f316(f75(a898),x41781),x41783)))
% 163.96/163.64 [4191]E(f316(f316(f124(x41911),x41912),f316(f132(f899(x41911),f899(x41911),f124(x41911),f103(x41911)),x41913)),f316(f132(f899(x41911),f899(x41911),f124(x41911),x41912),x41913))
% 163.96/163.64 [4212]P107(f316(f316(f318(f904(x42121,x42121)),f316(f316(f241(x42121,x42121),x42122),x42122)),f316(f316(f173(f904(x42121,x42121),a895),f2(a898)),x42123)))
% 163.96/163.64 [4217]E(f316(f251(x42171),f316(f316(f8(f905(x42172,a895),a895,x42171),f81(x42172)),f316(f7(x42172,x42171,a895),x42173))),f316(f273(x42172,x42171),f316(f251(f904(x42172,x42171)),f316(f246(x42172,x42171,a895),x42173))))
% 163.96/163.64 [4234]E(f316(f316(f100(f905(x42341,a895)),f316(f316(f33(a898,f905(x42341,a895)),f292(a898,f72(a898),x42342)),x42343)),f316(x42343,f2(a898))),f316(f316(f33(a898,f905(x42341,a895)),f316(f290(a898),x42342)),x42343))
% 163.96/163.64 [4249]E(f316(f132(f899(x42491),f899(x42491),f124(x42491),f103(x42491)),f316(f316(f144(f899(x42491),f899(x42491)),f126(x42491,x42492)),x42493)),f316(f126(x42491,x42492),f316(f132(f899(x42491),f899(x42491),f124(x42491),f103(x42491)),x42493)))
% 163.96/163.64 [4253]E(f316(f245(f899(x42531),f899(x42531)),f156(x42531,x42532,x42533)),f316(f126(x42531,f316(f66(a895,a895,x42531,a311),x42532)),x42533))
% 163.96/163.64 [4298]E(f316(f316(f74(a1),f316(f316(f74(a1),f316(f316(f75(a1),x42981),f316(f316(f29(a1),x42982),x42981))),f38(a1,x42982,x42981))),x42983),f316(f316(f74(a1),x42982),x42983))
% 163.96/163.64 [4335]E(f316(f316(f74(a1),f316(f316(f74(a1),f316(f316(f75(a1),f316(f316(f29(a1),x43351),x43352)),x43352)),f38(a1,x43351,x43352))),x43353),f316(f316(f74(a1),x43351),x43353))
% 163.96/163.64 [4361]E(f79(f904(x43611,x43612),f316(f246(x43611,x43612,a895),f316(f316(f8(f905(x43612,f904(x43611,x43612)),f905(x43612,a895),x43611),f316(f8(f904(x43611,x43612),a895,x43612),x43613)),f241(x43611,x43612)))),f79(f904(x43611,x43612),x43613))
% 163.96/163.64 [4362]E(f84(f904(x43621,x43622),f316(f246(x43621,x43622,a895),f316(f316(f8(f905(x43622,f904(x43621,x43622)),f905(x43622,a895),x43621),f316(f8(f904(x43621,x43622),a895,x43622),x43623)),f241(x43621,x43622)))),f84(f904(x43621,x43622),x43623))
% 163.96/163.64 [4389]P107(f316(f316(f224(f905(x43891,a895)),f30(f905(x43891,a895),f316(f316(f91(f905(f905(x43891,a895),a895)),x43892),x43893))),f316(f316(f91(f905(x43891,a895)),f30(f905(x43891,a895),x43892)),f30(f905(x43891,a895),x43893))))
% 163.96/163.64 [4390]E(f316(f158(x43901),f316(f316(f316(f173(f899(x43901),f899(x43901)),f316(f316(f23(a898),f316(f179(f899(x43901)),x43902)),f38(a898,x43903,f316(f179(f899(x43901)),x43902)))),f157(x43901)),x43902)),f316(f316(f316(f173(f899(x43901),f899(x43901)),x43903),f157(x43901)),f316(f158(x43901),x43902)))
% 163.96/163.64 [4427]P107(f316(f316(f224(a898),f316(f179(f899(x44271)),f316(f316(f128(x44271),f316(f179(f899(x44271)),f167(x44271,x44272,x44273))),x44273))),f316(f179(f899(x44271)),x44273)))
% 163.96/163.64 [4644]~P107(f316(f55(x46441,x46442,f178(f905(x46441,a895))),x46443))
% 163.96/163.64 [4649]~P107(f316(f316(f318(f904(x46491,x46491)),f316(f316(f241(x46491,x46491),x46492),x46493)),f143(x46491,f103(f905(x46491,a898)))))
% 163.96/163.64 [3746]E(f316(f179(f899(x37461)),f316(f316(f165(x37461),x37462),x37463)),f316(f316(f222(a898),f316(f179(f899(x37461)),x37463)),x37462))
% 163.96/163.64 [3747]E(f316(f179(f899(x37471)),f316(f316(f128(x37471),x37472),x37473)),f316(f316(f23(a898),f316(f179(f899(x37471)),x37473)),x37472))
% 163.96/163.64 [3773]E(f316(f179(f899(f899(x37731))),f48(x37731,x37732,x37733)),f316(f316(f233(a898),f316(f179(f899(x37731)),x37733)),x37732))
% 163.96/163.64 [3790]E(f316(f316(f29(a898),f316(f316(f29(a898),x37901),x37902)),x37903),f316(f316(f29(a898),x37901),f316(f316(f75(a898),x37902),x37903)))
% 163.96/163.64 [3791]E(f316(f316(f23(a898),f316(f316(f23(a898),x37911),x37912)),x37913),f316(f316(f23(a898),x37911),f316(f316(f74(a898),x37912),x37913)))
% 163.96/163.64 [3792]E(f316(f316(f75(a898),f316(f316(f75(a898),x37921),x37922)),x37923),f316(f316(f75(a898),x37921),f316(f316(f75(a898),x37922),x37923)))
% 163.96/163.64 [3793]E(f316(f316(f75(a1),f316(f316(f75(a1),x37931),x37932)),x37933),f316(f316(f75(a1),x37931),f316(f316(f75(a1),x37932),x37933)))
% 163.96/163.64 [3794]E(f316(f316(f74(a898),f316(f316(f74(a898),x37941),x37942)),x37943),f316(f316(f74(a898),x37941),f316(f316(f74(a898),x37942),x37943)))
% 163.96/163.64 [3795]E(f316(f316(f74(a1),f316(f316(f74(a1),x37951),x37952)),x37953),f316(f316(f74(a1),x37951),f316(f316(f74(a1),x37952),x37953)))
% 163.96/163.64 [3796]E(f316(f316(f233(a1),f316(f316(f233(a1),x37961),x37962)),x37963),f316(f316(f233(a1),x37961),f316(f316(f75(a898),x37962),x37963)))
% 163.96/163.64 [3815]E(f152(x38151,f316(f316(f141(f905(x38151,a895)),x38152),x38153)),f164(x38151,x38152,f152(x38151,x38153)))
% 163.96/163.64 [3858]E(f316(f316(f23(a898),f316(f316(f23(a898),x38581),x38582)),x38583),f316(f316(f23(a898),f316(f316(f23(a898),x38581),x38583)),x38582))
% 163.96/163.64 [3866]E(f316(f316(f91(f905(x38661,a895)),x38662),f316(f316(f23(f905(x38661,a895)),x38663),x38662)),f178(f905(x38661,a895)))
% 163.96/163.64 [3870]E(f316(f316(f144(a898,x38701),f316(f16(x38701,a898),x38702)),f129(a898,f316(f291(a898,f2(a898)),x38703))),f159(x38701,x38703,x38702))
% 163.96/163.64 [3908]E(f30(f905(x39081,a895),f316(f316(f298(f905(x39081,a895)),x39082),x39083)),f316(f316(f100(f905(x39081,a895)),x39082),f30(f905(x39081,a895),x39083)))
% 163.96/163.64 [3909]E(f31(f905(x39091,a895),f316(f316(f298(f905(x39091,a895)),x39092),x39093)),f316(f316(f91(f905(x39091,a895)),x39092),f31(f905(x39091,a895),x39093)))
% 163.96/163.64 [3911]E(f159(x39111,f316(f179(f899(x39111)),f316(f126(x39111,f316(a313,x39112)),x39113)),x39112),f316(f126(x39111,f316(a313,x39112)),x39113))
% 163.96/163.64 [3913]E(f316(f316(f23(a898),f316(f316(f75(a898),x39131),x39132)),f316(f316(f75(a898),x39133),x39132)),f316(f316(f75(a898),f316(f316(f23(a898),x39131),x39133)),x39132))
% 163.96/163.64 [3914]E(f316(f316(f74(a898),f316(f316(f75(a898),x39141),x39142)),f316(f316(f75(a898),x39143),x39142)),f316(f316(f75(a898),f316(f316(f74(a898),x39141),x39143)),x39142))
% 163.96/163.64 [3915]E(f316(f316(f23(a1),f316(f316(f75(a1),x39151),x39152)),f316(f316(f75(a1),x39153),x39152)),f316(f316(f75(a1),f316(f316(f23(a1),x39151),x39153)),x39152))
% 163.96/163.64 [3916]E(f316(f316(f74(a1),f316(f316(f75(a1),x39161),x39162)),f316(f316(f75(a1),x39163),x39162)),f316(f316(f75(a1),f316(f316(f74(a1),x39161),x39163)),x39162))
% 163.96/163.64 [3918]E(f316(f316(f222(a898),f316(f316(f23(a898),x39181),x39182)),f316(f316(f23(a898),x39183),x39182)),f316(f316(f23(a898),f316(f316(f222(a898),x39181),x39183)),x39182))
% 163.96/163.64 [3938]E(f316(f316(f91(f905(f899(x39381),a895)),f150(x39381,x39382)),f150(x39381,x39383)),f150(x39381,f316(f316(f91(f905(x39381,a895)),x39382),x39383)))
% 163.96/163.64 [3941]E(f316(f316(f100(f905(x39411,a895)),x39412),f316(f316(f23(f905(x39411,a895)),x39413),x39412)),f316(f316(f100(f905(x39411,a895)),x39412),x39413))
% 163.96/163.64 [3942]E(f316(f316(f100(f905(x39421,a895)),x39422),f316(f316(f100(f905(x39421,a895)),x39422),x39423)),f316(f316(f100(f905(x39421,a895)),x39422),x39423))
% 163.96/163.64 [3943]E(f316(f316(f91(f905(x39431,a895)),x39432),f316(f316(f91(f905(x39431,a895)),x39432),x39433)),f316(f316(f91(f905(x39431,a895)),x39432),x39433))
% 163.96/163.64 [3955]E(f316(f316(f278(x39551,x39552,x39552),x39553),f296(x39552,f178(f905(f904(x39552,x39552),a895)))),x39553)
% 163.96/163.64 [3958]E(f316(f316(f100(f905(x39581,a895)),f316(f316(f298(x39581),x39582),f178(f905(x39581,a895)))),x39583),f316(f316(f298(x39581),x39582),x39583))
% 163.96/163.64 [3977]E(f316(f316(f23(a898),f316(f316(f23(a898),f316(a102,x39771)),x39772)),f316(a102,x39773)),f316(f316(f23(a898),f316(f316(f23(a898),x39771),x39772)),x39773))
% 163.96/163.64 [4004]E(f316(f316(f91(f905(f905(x40041,a895),a895)),f316(f297(x40041),x40042)),f316(f297(x40041),x40043)),f316(f297(x40041),f316(f316(f91(f905(x40041,a895)),x40042),x40043)))
% 163.96/163.64 [4007]E(f316(f316(f100(f905(x40071,a895)),f316(f73(f905(x40071,a895)),x40072)),x40073),f316(f73(f905(x40071,a895)),f316(f316(f23(f905(x40071,a895)),x40072),x40073)))
% 163.96/163.64 [4016]E(f316(f316(f298(x40161),x40162),f316(f316(f23(f905(x40161,a895)),x40163),f316(f316(f298(x40161),x40162),f178(f905(x40161,a895))))),f316(f316(f298(x40161),x40162),x40163))
% 163.96/163.64 [4026]P107(f316(f316(f224(f905(x40261,a895)),x40262),f316(f316(f100(f905(x40261,a895)),x40263),x40262)))
% 163.96/163.64 [4027]P107(f316(f316(f224(f905(x40271,a895)),x40272),f316(f316(f100(f905(x40271,a895)),x40272),x40273)))
% 163.96/163.64 [4031]E(f316(f316(f91(f905(x40311,a895)),f316(f73(f905(x40311,a895)),x40312)),f316(f73(f905(x40311,a895)),x40313)),f316(f73(f905(x40311,a895)),f316(f316(f100(f905(x40311,a895)),x40312),x40313)))
% 163.96/163.64 [4032]E(f316(f316(f100(f905(x40321,a895)),f316(f73(f905(x40321,a895)),x40322)),f316(f73(f905(x40321,a895)),x40323)),f316(f73(f905(x40321,a895)),f316(f316(f91(f905(x40321,a895)),x40322),x40323)))
% 163.96/163.64 [4046]P107(f316(f316(f224(f905(x40461,a895)),f316(f162(x40461),x40462)),f316(f162(x40461),f316(f316(f141(x40461),x40463),x40462))))
% 163.96/163.64 [4058]E(f316(f316(f100(f905(x40581,a895)),f316(f316(f23(f905(x40581,a895)),x40582),x40583)),f316(f316(f91(f905(x40581,a895)),x40582),x40583)),x40582)
% 163.96/163.64 [4109]E(f316(f316(f9(x41091,a1),f316(f316(f8(a898,a1,x41091),f90(a1)),x41092)),x41093),f316(f90(a1),f316(f316(f9(x41091,a898),x41092),x41093)))
% 163.96/163.64 [4110]E(f316(f316(f6(x41101,a1),f316(f316(f8(a898,a1,x41101),f90(a1)),x41102)),x41103),f316(f90(a1),f316(f316(f6(x41101,a898),x41102),x41103)))
% 163.96/163.64 [4157]E(f316(f316(f124(x41571),f167(x41571,x41572,x41573)),f316(f316(f128(x41571),f316(f179(f899(x41571)),f167(x41571,x41572,x41573))),x41573)),x41573)
% 163.96/163.64 [4161]E(f316(f73(f905(f904(x41611,x41612),a895)),f316(f316(f243(x41611,x41612),x41613),f316(f16(f905(x41612,a895),x41611),f231(f905(x41612,a895))))),f316(f316(f243(x41611,x41612),f316(f73(f905(x41611,a895)),x41613)),f316(f16(f905(x41612,a895),x41611),f231(f905(x41612,a895)))))
% 163.96/163.64 [4162]E(f316(f73(f905(f904(x41621,x41622),a895)),f316(f316(f243(x41621,x41622),f231(f905(x41621,a895))),f316(f16(f905(x41622,a895),x41621),x41623))),f316(f316(f243(x41621,x41622),f231(f905(x41621,a895))),f316(f16(f905(x41622,a895),x41621),f316(f73(f905(x41622,a895)),x41623))))
% 163.96/163.64 [4213]E(f316(f316(f33(f905(x42131,a895),f905(x42131,a895)),x42132),f316(f316(f7(f905(x42131,a895),f905(x42131,a895),f905(x42131,a895)),f91(f905(x42131,a895))),x42133)),f316(f316(f91(f905(x42131,a895)),f30(f905(x42131,a895),x42132)),x42133))
% 163.96/163.64 [4219]E(f316(f132(f899(x42191),f899(x42191),f124(x42191),f103(x42191)),f316(f316(f141(f899(x42191)),x42192),x42193)),f316(f316(f124(x42191),x42192),f316(f132(f899(x42191),f899(x42191),f124(x42191),f103(x42191)),x42193)))
% 163.96/163.64 [4240]E(f316(f316(f298(f905(x42401,a895)),f316(f274(x42401,x42401,x42402),f316(f316(f298(x42401),x42403),f178(f905(x42401,a895))))),f178(f905(f905(x42401,a895),a895))),f316(f316(f53(x42401),f316(f316(f298(x42401),x42403),f178(f905(x42401,a895)))),x42402))
% 163.96/163.64 [4250]E(f316(f316(f74(a898),f316(f316(f75(a898),x42501),f316(f316(f29(a898),x42502),x42503))),f316(f316(f29(a898),f316(f316(f75(a898),x42501),f38(a898,x42502,x42503))),x42503)),f316(f316(f29(a898),f316(f316(f75(a898),x42501),x42502)),x42503))
% 163.96/163.64 [4251]E(f316(f316(f74(a1),f316(f316(f75(a1),x42511),f316(f316(f29(a1),x42512),x42513))),f316(f316(f29(a1),f316(f316(f75(a1),x42511),f38(a1,x42512,x42513))),x42513)),f316(f316(f29(a1),f316(f316(f75(a1),x42511),x42512)),x42513))
% 163.96/163.64 [4283]E(f316(f316(f23(f905(x42831,a895)),f316(f162(x42831),x42832)),f316(f316(f298(x42831),x42833),f178(f905(x42831,a895)))),f316(f162(x42831),f316(f126(x42831,f316(f316(f8(a895,a895,x42831),a311),f316(a313,x42833))),x42832)))
% 163.96/163.64 [4333]E(f316(f316(f124(x43331),f316(f132(f899(x43331),f899(x43331),f124(x43331),f103(x43331)),x43332)),f316(f132(f899(x43331),f899(x43331),f124(x43331),f103(x43331)),x43333)),f316(f132(f899(x43331),f899(x43331),f124(x43331),f103(x43331)),f316(f316(f124(f899(x43331)),x43332),x43333)))
% 163.96/163.64 [4336]E(f316(f316(f241(f899(x43361),f899(x43361)),f316(f126(x43361,x43362),x43363)),f316(f126(x43361,f316(f66(a895,a895,x43361,a311),x43362)),x43363)),f156(x43361,x43362,x43363))
% 163.96/163.64 [4339]E(f316(f316(f74(a898),f316(f316(f74(a898),f316(f316(f29(a898),x43391),x43392)),f316(f316(f29(a898),x43393),x43392))),f316(f316(f29(a898),f316(f316(f74(a898),f38(a898,x43391,x43392)),f38(a898,x43393,x43392))),x43392)),f316(f316(f29(a898),f316(f316(f74(a898),x43391),x43393)),x43392))
% 163.96/163.64 [4340]E(f316(f316(f74(a1),f316(f316(f74(a1),f316(f316(f29(a1),x43401),x43402)),f316(f316(f29(a1),x43403),x43402))),f316(f316(f29(a1),f316(f316(f74(a1),f38(a1,x43401,x43402)),f38(a1,x43403,x43402))),x43402)),f316(f316(f29(a1),f316(f316(f74(a1),x43401),x43403)),x43402))
% 163.96/163.64 [4393]E(f316(f316(f91(f905(f899(x43931),a895)),f316(f316(f7(f899(x43931),f905(f899(x43931),a895),a895),f318(f899(x43931))),f151(x43931,x43932))),f316(f316(f7(f899(x43931),f905(f899(x43931),a895),a895),f318(f899(x43931))),f151(x43931,x43933))),f150(x43931,f316(f316(f91(f905(x43931,a895)),f316(f316(f7(x43931,f905(x43931,a895),a895),f318(x43931)),x43932)),f316(f316(f7(x43931,f905(x43931,a895),a895),f318(x43931)),x43933))))
% 163.96/163.64 [4405]E(f316(f251(x44051),f316(f316(f18(x44051,a895,a895),f316(f316(f8(a895,f905(a895,a895),x44051),a315),f316(f316(f7(x44051,x44051,a895),a313),x44052))),f316(f316(f7(x44051,f905(x44051,a895),a895),f318(x44051)),x44053))),f316(f316(f298(x44051),x44052),x44053))
% 163.96/163.64 [4425]E(f316(f316(f80(f899(f899(x44251)),f899(f899(x44251))),f47(x44251,x44252)),f316(f316(f18(f899(f899(x44251)),f899(f899(x44251)),f899(f899(x44251))),f316(f316(f8(f899(f899(x44251)),f905(f899(f899(x44251)),f899(f899(x44251))),f899(f899(x44251))),f124(f899(x44251))),f316(f144(f899(x44251),f899(x44251)),f316(f141(x44251),x44253)))),f5(f899(f899(x44251))))),f47(x44251,f316(f316(f141(x44251),x44253),x44252)))
% 163.96/163.64 [4428]E(f316(f251(x44281),f316(f316(f18(x44281,a895,a895),f316(f316(f8(a895,f905(a895,a895),x44281),a315),f316(f316(f7(x44281,f905(x44281,a895),a895),f318(x44281)),x44282))),f316(f316(f7(x44281,f905(x44281,a895),a895),f318(x44281)),x44283))),f316(f316(f100(f905(x44281,a895)),x44282),x44283))
% 163.96/163.64 [4429]E(f316(f251(x44291),f316(f316(f18(x44291,a895,a895),f316(f316(f8(a895,f905(a895,a895),x44291),a314),f316(f316(f7(x44291,f905(x44291,a895),a895),f318(x44291)),x44292))),f316(f316(f7(x44291,f905(x44291,a895),a895),f318(x44291)),x44293))),f316(f316(f91(f905(x44291,a895)),x44292),x44293))
% 163.96/163.64 [4518]E(f316(f316(f33(x45181,f905(f905(x45181,a895),a895)),x45182),f316(f316(f7(x45181,f905(f905(x45181,a895),a895),f905(f905(x45181,a895),a895)),f316(f316(f8(f905(x45181,a895),f905(f905(f905(x45181,a895),a895),f905(f905(x45181,a895),a895)),x45181),f298(f905(x45181,a895))),f316(f316(f8(f905(x45181,a895),f905(x45181,a895),x45181),f274(x45181,x45181,x45183)),f316(f316(f7(x45181,f905(x45181,a895),f905(x45181,a895)),f298(x45181)),f178(f905(x45181,a895)))))),f178(f905(f905(x45181,a895),a895)))),f316(f316(f53(x45181),x45182),x45183))
% 163.96/163.64 [4520]E(f316(f316(f191(x45201),f316(f316(f75(a1),f316(f316(f66(f904(a1,a1),a1,x45201,f240(a1,a1)),f202(x45201)),x45202)),f316(f316(f66(f904(a1,a1),a1,x45201,f240(a1,a1)),f202(x45201)),x45203))),f316(f316(f75(a1),f316(f316(f66(f904(a1,a1),a1,x45201,f245(a1,a1)),f202(x45201)),x45202)),f316(f316(f66(f904(a1,a1),a1,x45201,f245(a1,a1)),f202(x45201)),x45203))),f218(x45201,x45202,x45203))
% 163.96/163.64 [4523]E(f316(f251(f899(x45231)),f316(f316(f18(f899(x45231),a895,a895),f316(f316(f8(a895,f905(a895,a895),f899(x45231)),a314),f316(f316(f7(f899(x45231),a898,a895),f316(f316(f8(a898,f905(a898,a895),f899(x45231)),a313),f179(f899(x45231)))),x45232))),f316(f316(f7(f899(x45231),f905(x45231,a895),a895),f316(f316(f8(f905(x45231,a895),f905(f905(x45231,a895),a895),f899(x45231)),f224(f905(x45231,a895))),f162(x45231))),f316(f162(x45231),x45233)))),f316(f162(f899(x45231)),f48(x45231,x45232,x45233)))
% 163.96/163.64 [3931]E(f38(a898,f316(f316(f74(a898),f316(f316(f75(a898),x39311),x39312)),x39313),x39312),f38(a898,x39313,x39312))
% 163.96/163.64 [3976]E(f129(a898,f316(f291(a898,f316(f316(f74(a898),x39761),x39762)),x39763)),f316(f316(f128(a898),x39762),f129(a898,f316(f291(a898,x39761),x39763))))
% 163.96/163.64 [4015]E(f316(f316(f74(a1),f316(f90(a1),x40151)),f316(f316(f74(a1),f316(f90(a1),x40152)),x40153)),f316(f316(f74(a1),f316(f90(a1),f316(f316(f74(a898),x40151),x40152))),x40153))
% 163.96/163.64 [4022]E(f316(f316(f23(f905(x40221,a895)),f316(f316(f23(f905(x40221,a895)),x40222),x40223)),x40223),f316(f316(f23(f905(x40221,a895)),x40222),x40223))
% 163.96/163.64 [4023]E(f316(f316(f100(f905(x40231,a895)),f316(f316(f23(f905(x40231,a895)),x40232),x40233)),x40233),f316(f316(f100(f905(x40231,a895)),x40232),x40233))
% 163.96/163.64 [4047]E(f316(f316(f278(x40471,x40471,x40472),f296(x40471,f178(f905(f904(x40471,x40471),a895)))),x40473),x40473)
% 163.96/163.64 [4055]E(f316(f316(f100(f905(x40551,a895)),f316(f270(x40551),x40552)),f316(f270(x40551),x40553)),f316(f270(x40551),f316(f316(f100(f905(f904(x40551,x40551),a895)),x40552),x40553)))
% 163.96/163.64 [4065]E(f255(x40651,f316(f316(f141(f904(a89,x40651)),f316(f316(f241(a89,x40651),f2(a89)),x40652)),x40653)),f255(x40651,x40653))
% 163.96/163.64 [4067]E(f316(f316(f100(f905(x40671,a895)),f30(f905(x40671,a895),x40672)),f30(f905(x40671,a895),x40673)),f30(f905(x40671,a895),f316(f316(f100(f905(f905(x40671,a895),a895)),x40672),x40673)))
% 163.96/163.64 [4068]E(f316(f316(f91(f905(x40681,a895)),f31(f905(x40681,a895),x40682)),f31(f905(x40681,a895),x40683)),f31(f905(x40681,a895),f316(f316(f100(f905(f905(x40681,a895),a895)),x40682),x40683)))
% 163.96/163.64 [4105]E(f316(f316(f278(x41051,x41051,x41051),f316(f316(f173(f904(x41051,x41051),a895),x41052),x41053)),x41053),f316(f316(f173(f904(x41051,x41051),a895),f316(a102,x41052)),x41053))
% 163.96/163.64 [4149]P107(f316(f316(f224(f905(x41491,a895)),f316(f316(f23(f905(x41491,a895)),x41492),x41493)),x41492))
% 163.96/163.64 [4150]P107(f316(f316(f224(f905(x41501,a895)),f316(f316(f91(f905(x41501,a895)),x41502),x41503)),x41503))
% 163.96/163.64 [4151]P107(f316(f316(f224(f905(x41511,a895)),f316(f316(f91(f905(x41511,a895)),x41512),x41513)),x41512))
% 163.96/163.64 [4175]E(f296(x41751,f316(f316(f100(f905(f904(x41751,x41751),a895)),f296(x41751,x41752)),f296(x41751,x41753))),f296(x41751,f316(f316(f100(f905(f904(x41751,x41751),a895)),x41752),x41753)))
% 163.96/163.64 [4179]E(f30(f905(x41791,a895),f316(f316(f298(f905(x41791,a895)),x41792),f316(f316(f298(f905(x41791,a895)),x41793),f178(f905(f905(x41791,a895),a895))))),f316(f316(f100(f905(x41791,a895)),x41792),x41793))
% 163.96/163.64 [4180]E(f31(f905(x41801,a895),f316(f316(f298(f905(x41801,a895)),x41802),f316(f316(f298(f905(x41801,a895)),x41803),f178(f905(f905(x41801,a895),a895))))),f316(f316(f91(f905(x41801,a895)),x41802),x41803))
% 163.96/163.64 [4185]E(f316(f316(f278(x41851,x41851,x41851),f316(f316(f173(f904(x41851,x41851),a895),x41852),x41853)),x41853),f316(f316(f278(x41851,x41851,x41851),x41853),f316(f316(f173(f904(x41851,x41851),a895),x41852),x41853)))
% 163.96/163.64 [4254]E(f316(f316(f100(f905(x42541,a895)),f316(f251(x42541),f316(f316(f7(x42541,x42541,a895),a313),x42542))),x42543),f316(f316(f298(x42541),x42542),x42543))
% 163.96/163.64 [4256]E(f316(a94,f316(f316(f9(x42561,a1),f316(f316(f8(a898,a1,x42561),f90(a1)),x42562)),x42563)),f316(f316(f9(x42561,a898),x42562),x42563))
% 163.96/163.64 [4257]E(f316(a94,f316(f316(f6(x42571,a1),f316(f316(f8(a898,a1,x42571),f90(a1)),x42572)),x42573)),f316(f316(f6(x42571,a898),x42572),x42573))
% 163.96/163.64 [4330]E(f316(f146(f899(x43301),x43301,f316(f161(x43301),x43302),f316(f16(f905(f899(x43301),f899(x43301)),x43301),f316(f316(f7(f899(x43301),f899(x43301),f899(x43301)),f124(x43301)),x43302))),x43303),f316(f161(x43301),f316(f316(f124(x43301),x43303),x43302)))
% 163.96/163.64 [4358]P107(f316(f316(f224(f905(f905(x43581,a895),a895)),f316(f316(f100(f905(f905(x43581,a895),a895)),f316(f297(x43581),x43582)),f316(f297(x43581),x43583))),f316(f297(x43581),f316(f316(f100(f905(x43581,a895)),x43582),x43583))))
% 163.96/163.64 [4447]E(f316(f251(x44471),f316(f316(f18(x44471,a895,a895),f316(f316(f8(a895,f905(a895,a895),x44471),a314),f316(f316(f7(x44471,f905(x44471,a895),a895),f318(x44471)),x44472))),f316(f316(f8(a895,a895,x44471),a311),f316(f316(f7(x44471,f905(x44471,a895),a895),f318(x44471)),x44473)))),f316(f316(f23(f905(x44471,a895)),x44472),x44473))
% 163.96/163.64 [4471]E(f316(f28(a898),f316(f251(a898),f316(f316(f18(a898,a895,a895),f316(f316(f8(a895,f905(a895,a895),a898),a314),f316(f316(f7(a898,a898,a895),f225(a898)),f316(f179(f899(x44711)),x44712)))),f316(f316(f8(x44711,a895,a898),x44713),f316(f154(x44711),x44712))))),f316(f179(f899(x44711)),f316(f126(x44711,x44713),x44712)))
% 163.96/163.64 [4473]E(f316(f179(f899(x44731)),f166(x44731,x44732,x44733)),f316(f28(a898),f316(f251(a898),f316(f316(f18(a898,a895,a895),f316(f316(f8(a895,f905(a895,a895),a898),a314),f316(f316(f7(a898,a898,a895),f225(a898)),f316(f179(f899(x44731)),x44732)))),f316(f316(f7(a898,f905(a898,a895),a895),f318(a898)),x44733)))))
% 163.96/163.64 [4569]E(f316(f316(f91(f905(f904(f899(x45691),f899(x45691)),a895)),f316(f299(f904(f904(x45691,f899(x45691)),f904(x45691,f899(x45691))),f904(f899(x45691),f899(x45691)),f247(f904(x45691,f899(x45691)),f899(x45691),f904(x45691,f899(x45691)),f899(x45691),f316(f246(x45691,f899(x45691),f899(x45691)),f141(x45691)),f316(f246(x45691,f899(x45691),f899(x45691)),f141(x45691)))),f308(x45691,f899(x45691),x45692,f316(f133(x45691,x45692),x45693)))),f316(f251(f904(f899(x45691),f899(x45691))),f316(f246(f899(x45691),f899(x45691),a895),f316(f316(f7(f899(x45691),f905(f899(x45691),a895),f905(f899(x45691),a895)),f316(f316(f8(f905(a895,a895),f905(f905(f899(x45691),a895),f905(f899(x45691),a895)),f899(x45691)),f8(a895,a895,f899(x45691))),f316(f316(f8(a895,f905(a895,a895),f899(x45691)),a314),f316(f316(f7(f899(x45691),a898,a895),f316(f316(f8(a898,f905(a898,a895),f899(x45691)),a313),f179(f899(x45691)))),f316(a102,x45693))))),f316(f316(f7(f899(x45691),a898,a895),f316(f316(f8(a898,f905(a898,a895),f899(x45691)),a313),f179(f899(x45691)))),f316(a102,x45693)))))),f316(f133(x45691,x45692),f316(a102,x45693)))
% 163.96/163.64 [4069]E(f38(a898,f316(a102,f316(f316(f74(a898),f316(f316(f75(a898),x40691),x40692)),x40693)),x40692),f38(a898,f316(a102,x40693),x40692))
% 163.96/163.64 [4316]E(f316(f251(x43161),f316(f316(f18(x43161,a895,a895),f316(f316(f8(a895,f905(a895,a895),x43161),a314),x43162)),x43163)),f316(f316(f91(f905(x43161,a895)),f316(f251(x43161),x43162)),f316(f251(x43161),x43163)))
% 163.96/163.64 [4317]E(f316(f251(x43171),f316(f316(f18(x43171,a895,a895),f316(f316(f8(a895,f905(a895,a895),x43171),a315),x43172)),x43173)),f316(f316(f100(f905(x43171,a895)),f316(f251(x43171),x43172)),f316(f251(x43171),x43173)))
% 163.96/163.64 [4319]E(f316(f316(f124(x43191),f316(f316(f128(x43191),f38(a898,x43192,f316(f179(f899(x43191)),x43193))),x43193)),f316(f316(f165(x43191),f38(a898,x43192,f316(f179(f899(x43191)),x43193))),x43193)),f316(f316(f316(f173(f899(x43191),f899(x43191)),x43192),f157(x43191)),x43193))
% 163.96/163.64 [4325]E(f316(f251(x43251),f316(f316(f18(x43251,a895,a895),f316(f316(f8(a895,f905(a895,a895),x43251),a319),x43252)),x43253)),f316(f316(f100(f905(x43251,a895)),f316(f73(f905(x43251,a895)),f316(f251(x43251),x43252))),f316(f251(x43251),x43253)))
% 163.96/163.64 [4341]E(f316(f316(f74(a898),f316(f179(f899(x43411)),f316(f126(x43411,x43412),x43413))),f316(f179(f899(x43411)),f316(f126(x43411,f316(f316(f8(a895,a895,x43411),a311),x43412)),x43413))),f316(f179(f899(x43411)),x43413))
% 163.96/163.64 [4364]P107(f316(f316(f224(f905(x43641,a895)),f316(f316(f100(f905(x43641,a895)),f31(f905(x43641,a895),x43642)),f31(f905(x43641,a895),x43643))),f31(f905(x43641,a895),f316(f316(f91(f905(f905(x43641,a895),a895)),x43642),x43643))))
% 163.96/163.64 [4378]E(f316(f162(x43781),f316(f126(x43781,f316(f316(f8(a895,a895,x43781),a311),f316(f316(f7(x43781,x43781,a895),a313),x43782))),x43783)),f316(f316(f23(f905(x43781,a895)),f316(f162(x43781),x43783)),f316(f316(f298(x43781),x43782),f178(f905(x43781,a895)))))
% 163.96/163.64 [4387]P107(f316(f316(f224(f905(f904(x43871,x43871),a895)),f316(f316(f100(f905(f904(x43871,x43871),a895)),f296(x43871,x43872)),f296(x43871,x43873))),f296(x43871,f316(f316(f100(f905(f904(x43871,x43871),a895)),x43872),x43873))))
% 163.96/163.64 [4410]E(f316(f316(f75(a898),f316(a102,f316(a102,f2(a898)))),f316(f316(f6(a898,a898),f316(f316(f8(a898,a898,a898),f316(f74(a898),x44101)),f316(f316(f7(a898,a898,a898),f75(a898)),x44102))),f316(f271(a898),x44103))),f316(f316(f75(a898),x44103),f316(f316(f74(a898),x44101),f316(f316(f74(a898),x44101),f316(f316(f75(a898),f316(f316(f23(a898),x44103),f72(a898))),x44102)))))
% 163.96/163.64 [4420]E(f316(f251(x44201),f316(f316(f18(x44201,a895,a895),f316(f316(f8(a895,f905(a895,a895),x44201),a314),f316(f316(f7(x44201,f905(x44201,a895),a895),f318(x44201)),f316(f162(x44201),x44202)))),x44203)),f316(f162(x44201),f316(f126(x44201,x44203),x44202)))
% 163.96/163.64 [4568]E(f316(f251(x45681),f316(f316(f8(f905(a898,a895),a895,x45681),f81(a898)),f316(f316(f7(x45681,f905(a898,a895),f905(a898,a895)),f316(f316(f8(f905(a898,f905(a895,a895)),f905(f905(a898,a895),f905(a898,a895)),x45681),f18(a898,a895,a895)),f316(f316(f8(f905(a898,a895),f905(a898,f905(a895,a895)),x45681),f316(f8(a895,f905(a895,a895),a898),a314)),f316(f316(f7(x45681,f905(a898,x45681),f905(a898,a895)),f316(f316(f8(f905(x45681,a895),f905(f905(a898,x45681),f905(a898,a895)),x45681),f8(x45681,a895,a898)),a313)),f316(f154(x45681),x45682))))),f316(f316(f18(a898,a895,a895),f316(f316(f8(a895,f905(a895,a895),a898),a314),f316(f316(f7(a898,a898,a895),f225(a898)),f316(f179(f899(x45681)),x45682)))),f316(f316(f7(a898,f905(a898,a895),a895),f318(a898)),x45683))))),f316(f162(x45681),f166(x45681,x45682,x45683)))
% 163.96/163.64 [4460]E(f316(f251(x44601),f316(f316(f18(x44601,a895,a895),f316(f316(f8(a895,f905(a895,a895),x44601),a319),f316(f316(f8(a895,a895,x44601),a311),f316(f316(f7(x44601,x44601,a895),a313),x44602)))),x44603)),f316(f316(f298(x44601),x44602),f316(f251(x44601),x44603)))
% 163.96/163.64 [4492]E(f316(f316(f144(f904(x44921,a898),x44921),f240(x44921,a898)),f316(f126(f904(x44921,a898),f316(f316(f7(f904(x44921,a898),f905(a898,a895),a895),f316(f316(f8(a898,f905(f905(a898,a895),a895),f904(x44921,a898)),f318(a898)),f245(x44921,a898))),x44922)),f316(f316(f171(x44921,a898),x44923),f129(a898,f316(f291(a898,f2(a898)),f316(f179(f899(x44921)),x44923)))))),f166(x44921,x44923,x44922))
% 163.96/163.64 [4519]E(f316(f316(f75(a1),f316(f93(a1),f316(f316(f74(a1),f316(f316(f23(a1),f316(f316(f74(a1),a77),a77)),a87)),f316(f316(f23(a1),f316(f316(f74(a1),a77),a77)),a87)))),f316(f316(f6(a898,a1),f316(f316(f8(a1,a1,a898),f316(f74(a1),x45191)),f316(f316(f7(a898,a1,a1),f316(f316(f8(a1,f905(a1,a1),a898),f75(a1)),f90(a1))),x45192))),f316(f271(a898),x45193))),f316(f316(f75(a1),f316(f90(a1),x45193)),f316(f316(f74(a1),x45191),f316(f316(f74(a1),x45191),f316(f316(f75(a1),f316(f90(a1),f316(f316(f23(a898),x45193),f72(a898)))),x45192)))))
% 163.96/163.64 [4561]E(f316(f251(f904(x45611,x45612)),f316(f246(x45611,x45612,a895),f316(f316(f7(x45611,f905(f904(x45612,x45611),a895),f905(x45612,a895)),f316(f316(f8(f905(x45612,f905(f905(f904(x45612,x45611),a895),a895)),f905(f905(f904(x45612,x45611),a895),f905(x45612,a895)),x45611),f7(x45612,f905(f904(x45612,x45611),a895),a895)),f316(f316(f8(f905(x45612,f904(x45612,x45611)),f905(x45612,f905(f905(f904(x45612,x45611),a895),a895)),x45611),f316(f8(f904(x45612,x45611),f905(f905(f904(x45612,x45611),a895),a895),x45612),f318(f904(x45612,x45611)))),f316(f7(x45612,x45611,f904(x45612,x45611)),f241(x45612,x45611))))),x45613))),f316(f275(x45612,x45611),x45613))
% 163.96/163.64 [4581]E(f316(f251(f899(x45811)),f316(f316(f8(f905(x45811,a895),a895,f899(x45811)),f81(x45811)),f316(f316(f8(f905(x45811,f905(f899(x45811),a895)),f905(x45811,a895),f899(x45811)),f316(f8(f905(f899(x45811),a895),a895,x45811),f81(f899(x45811)))),f316(f316(f7(f899(x45811),f905(x45811,f905(f899(x45811),a895)),f905(x45811,f905(f899(x45811),a895))),f316(f316(f8(f905(x45811,f905(f905(f899(x45811),a895),f905(f899(x45811),a895))),f905(f905(x45811,f905(f899(x45811),a895)),f905(x45811,f905(f899(x45811),a895))),f899(x45811)),f18(x45811,f905(f899(x45811),a895),f905(f899(x45811),a895))),f316(f316(f8(f905(x45811,f905(f899(x45811),f905(a895,a895))),f905(x45811,f905(f905(f899(x45811),a895),f905(f899(x45811),a895))),f899(x45811)),f316(f8(f905(f899(x45811),f905(a895,a895)),f905(f905(f899(x45811),a895),f905(f899(x45811),a895)),x45811),f18(f899(x45811),a895,a895))),f316(f316(f8(f905(x45811,f905(f899(x45811),a895)),f905(x45811,f905(f899(x45811),f905(a895,a895))),f899(x45811)),f316(f8(f905(f899(x45811),a895),f905(f899(x45811),f905(a895,a895)),x45811),f316(f8(a895,f905(a895,a895),f899(x45811)),a314))),f316(f316(f7(f899(x45811),f905(x45811,f905(f899(x45811),f899(x45811))),f905(x45811,f905(f899(x45811),a895))),f316(f316(f8(f905(f905(f899(x45811),f899(x45811)),f905(f899(x45811),a895)),f905(f905(x45811,f905(f899(x45811),f899(x45811))),f905(x45811,f905(f899(x45811),a895))),f899(x45811)),f8(f905(f899(x45811),f899(x45811)),f905(f899(x45811),a895),x45811)),f316(f316(f8(f905(f899(x45811),a895),f905(f905(f899(x45811),f899(x45811)),f905(f899(x45811),a895)),f899(x45811)),f8(f899(x45811),a895,f899(x45811))),a313))),f141(x45811)))))),f316(f316(f7(x45811,f905(f899(x45811),a895),f905(f899(x45811),a895)),f316(f316(f8(f905(a895,a895),f905(f905(f899(x45811),a895),f905(f899(x45811),a895)),x45811),f8(a895,a895,f899(x45811))),f316(f316(f8(a895,f905(a895,a895),x45811),a314),f316(f316(f7(x45811,f905(x45811,a895),a895),f318(x45811)),x45812)))),f316(f316(f7(f899(x45811),f905(f899(x45811),a895),a895),f318(f899(x45811))),x45813)))))),f164(x45811,x45812,x45813))
% 163.96/163.64 [4578]E(f316(f316(f80(a1,f904(a1,a1)),f316(f316(f23(a1),x45781),x45782)),f316(f316(f7(a1,f904(a1,a1),f904(a1,a1)),f316(f316(f18(a1,f904(a1,a1),f905(f904(a1,a1),f904(a1,a1))),f316(f316(f8(a895,f905(f904(a1,a1),f905(f904(a1,a1),f904(a1,a1))),a1),f86(f904(a1,a1))),f316(f224(a1),f2(a1)))),f316(f241(a1,a1),f316(f316(f74(a1),f316(f316(f75(a1),f316(f93(a1),f316(f316(f74(a1),f316(f316(f23(a1),f316(f316(f74(a1),a77),a77)),a87)),f316(f316(f23(a1),f316(f316(f74(a1),a77),a77)),a87)))),x45783)),f72(a1))))),f316(f316(f241(a1,a1),f316(f316(f75(a1),f316(f93(a1),f316(f316(f74(a1),f316(f316(f23(a1),f316(f316(f74(a1),a77),a77)),a87)),f316(f316(f23(a1),f316(f316(f74(a1),a77),a77)),a87)))),x45783)),x45781))),f316(f36(x45782),f316(f316(f241(a1,a1),x45783),x45781)))
% 163.96/163.64 [3633]E(f106(x36331,f316(x36332,x36333),f316(x36334,x36333)),f316(f193(x36331,x36332,x36334),x36333))
% 163.96/163.64 [3686]E(f316(f316(f234(x36861,x36862,x36863),x36864),f2(a898)),x36862)
% 163.96/163.64 [3724]E(f175(x37241,x37242,x37243,f316(a102,x37244)),f316(x37243,x37244))
% 163.96/163.64 [3765]E(f160(x37651,x37652,f160(x37651,x37653,x37654)),f160(x37651,x37653,f160(x37651,x37652,x37654)))
% 163.96/163.64 [3766]E(f116(x37661,x37662,f106(x37661,x37663,x37664)),f106(x37661,f116(x37661,x37662,x37663),x37664))
% 163.96/163.64 [3899]E(f316(f146(x38991,x38992,x38993,x38994),f103(x38992)),x38993)
% 163.96/163.64 [3900]E(f316(f132(x39001,x39002,x39003,x39004),f103(x39002)),x39004)
% 163.96/163.64 [3937]E(f316(f179(f903(x39371,x39372)),f210(x39371,x39372,x39373,x39374)),f2(a898))
% 163.96/163.64 [3960]E(f316(f246(x39601,x39602,x39603),f244(x39601,x39602,x39603,x39604)),x39604)
% 163.96/163.64 [4003]E(f316(f316(f124(x40031),f159(x40031,x40032,x40033)),f159(x40031,x40034,x40033)),f316(f316(f124(x40031),f159(x40031,x40034,x40033)),f159(x40031,x40032,x40033)))
% 163.96/163.64 [4088]E(f316(f316(f248(x40881,x40882,x40883,f904(x40882,x40883)),x40884),f241(x40882,x40883)),x40884)
% 163.96/163.64 [4098]E(f117(x40981,x40982,x40983,x40984,f109(x40982)),x40983)
% 163.96/163.64 [4104]E(f68(x41041,x41042,x41043,x41044,f316(x41043,x41044)),x41043)
% 163.96/163.64 [4371]P41(x43711,x43712,x43713,x43714,f178(f905(x43711,a895)),x43714)
% 163.96/163.64 [3438]E(f316(f316(f16(x34381,x34382),x34383),x34384),x34383)
% 163.96/163.64 [3714]E(f160(x37141,x37142,f316(f126(x37141,x37143),x37144)),f316(f126(x37141,x37143),f160(x37141,x37142,x37144)))
% 163.96/163.64 [3748]E(f316(f316(f57(x37481,x37482,x37483),x37484),f178(f905(x37481,a895))),x37484)
% 163.96/163.64 [3772]E(f316(f316(f154(x37721),f316(f316(f141(x37721),x37722),x37723)),f316(a102,x37724)),f316(f316(f154(x37721),x37723),x37724))
% 163.96/163.64 [3839]E(f316(f316(x38391,x38392),f316(f174(x38393,x38394,x38391),x38392)),f316(f174(x38393,x38394,x38391),f316(a102,x38392)))
% 163.96/163.64 [3880]E(f244(x38801,x38802,x38803,f316(f246(x38801,x38802,x38803),x38804)),x38804)
% 163.96/163.64 [3935]E(f316(f316(f149(x39351,f316(f316(f141(x39351),x39352),x39353)),f2(a898)),x39354),f316(f316(f141(x39351),x39354),x39353))
% 163.96/163.64 [3945]E(f316(f316(f33(f905(x39451,a895),f905(x39452,a895)),x39453),f300(x39452,x39451,x39454)),f316(f300(x39452,x39451,x39454),f30(f905(x39451,a895),x39453)))
% 163.96/163.64 [3946]E(f316(f316(f33(f905(x39461,a895),f905(x39462,a895)),x39463),f299(x39461,x39462,x39464)),f316(f299(x39461,x39462,x39464),f30(f905(x39461,a895),x39463)))
% 163.96/163.64 [3971]E(f110(x39711,f120(x39712,f900(x39711),x39713,x39714)),f316(f108(x39712,x39711,x39714),x39713))
% 163.96/163.64 [4043]E(f316(f115(x40431,x40432),f116(x40431,x40433,x40434)),f316(f316(f74(a898),f316(f316(f74(a898),f316(x40432,x40433)),f316(f115(x40431,x40432),x40434))),f316(a102,f2(a898))))
% 163.96/163.64 [4064]E(f316(f132(x40641,x40642,f316(f7(x40642,x40641,x40641),x40643),x40644),f316(f158(x40642),f103(x40642))),x40644)
% 163.96/163.64 [4108]E(f70(x41081,x41082,x41083,x41084,f178(f905(x41081,a895))),x41083)
% 163.96/163.64 [4169]E(f213(x41691,f904(x41692,f900(x41692)),x41693,f316(f246(x41692,f900(x41692),x41691),x41694),f316(f125(x41692),f109(x41692))),x41693)
% 163.96/163.64 [4301]E(f316(f246(x43011,x43012,x43013),f316(f316(f8(f905(x43012,f904(x43011,x43012)),f905(x43012,x43013),x43011),f316(f8(f904(x43011,x43012),x43013,x43012),x43014)),f241(x43011,x43012))),x43014)
% 163.96/163.64 [3624]E(f316(f245(x36241,x36242),f316(f316(f241(x36241,x36242),x36243),x36244)),x36244)
% 163.96/163.64 [3625]E(f316(f240(x36251,x36252),f316(f316(f241(x36251,x36252),x36253),x36254)),x36253)
% 163.96/163.64 [3658]E(f316(f179(f899(x36581)),f316(f316(f149(x36581,x36582),x36583),x36584)),f316(f179(f899(x36581)),x36582))
% 163.96/163.64 [3659]E(f316(f179(f899(x36591)),f316(f316(f144(x36592,x36591),x36593),x36594)),f316(f179(f899(x36592)),x36594))
% 163.96/163.64 [3680]E(f316(f316(f128(x36801),f316(a102,x36802)),f316(f316(f141(x36801),x36803),x36804)),f316(f316(f128(x36801),x36802),x36804))
% 163.96/163.64 [3743]E(f316(f316(f165(x37431),x37432),f159(x37431,x37433,x37434)),f159(x37431,f316(f316(f222(a898),x37432),x37433),x37434))
% 163.96/163.64 [3744]E(f316(f316(f128(x37441),x37442),f159(x37441,x37443,x37444)),f159(x37441,f316(f316(f23(a898),x37443),x37442),x37444))
% 163.96/163.64 [3750]E(f316(f316(f298(x37501),x37502),f316(f316(f298(x37501),x37503),x37504)),f316(f316(f298(x37501),x37503),f316(f316(f298(x37501),x37502),x37504)))
% 163.96/163.64 [3754]E(f316(f316(f144(x37541,x37542),x37543),f104(x37541,x37544)),f104(x37542,f316(f316(f144(x37541,x37542),x37543),x37544)))
% 163.96/163.64 [3770]E(f316(f158(x37701),f316(f316(f144(x37702,x37701),x37703),x37704)),f316(f316(f144(x37702,x37701),x37703),f316(f158(x37702),x37704)))
% 163.96/163.64 [3771]E(f316(f316(f144(x37711,x37712),x37713),f316(f161(x37711),x37714)),f316(f161(x37712),f316(f316(f144(x37711,x37712),x37713),x37714)))
% 163.96/163.64 [3786]E(f316(f316(f165(x37861),f316(a102,x37862)),f316(f316(f141(x37861),x37863),x37864)),f316(f316(f141(x37861),x37863),f316(f316(f165(x37861),x37862),x37864)))
% 163.96/163.64 [3789]E(f316(f162(x37891),f316(f316(f144(x37892,x37891),x37893),x37894)),f316(f299(x37892,x37891,x37893),f316(f162(x37892),x37894)))
% 163.96/163.64 [3802]E(f316(f316(f144(x38021,x38022),f316(f16(x38022,x38021),x38023)),x38024),f159(x38022,f316(f179(f899(x38021)),x38024),x38023))
% 163.96/163.64 [3838]E(f17(x38381,x38382,x38383,f316(a3,f316(a102,f316(a20,x38384)))),f316(x38383,x38384))
% 163.96/163.64 [3842]E(f316(f316(f124(x38421),f316(f126(x38421,x38422),x38423)),f316(f126(x38421,x38422),x38424)),f316(f126(x38421,x38422),f316(f316(f124(x38421),x38423),x38424)))
% 163.96/163.64 [3854]E(f142(x38541,f316(f316(f144(x38542,x38541),x38543),f142(x38542,x38544))),f142(x38541,f316(f316(f144(x38542,x38541),x38543),x38544)))
% 163.96/163.64 [3869]E(f316(f275(x38691,x38691),f316(f316(f277(x38692,x38691),x38693),x38694)),f316(f316(f277(x38692,x38691),f316(f275(x38692,x38692),x38693)),x38694))
% 163.96/163.64 [3881]E(f316(f316(f278(x38811,x38812,x38813),x38814),f178(f905(f904(x38812,x38813),a895))),f178(f905(f904(x38811,x38813),a895)))
% 163.96/163.64 [3882]E(f316(f316(f165(x38821),f316(f316(f23(a898),x38822),x38823)),f316(f316(f128(x38821),x38823),x38824)),f316(f316(f128(x38821),x38823),f316(f316(f165(x38821),x38822),x38824)))
% 163.96/163.64 [3901]E(f316(f316(f124(x39011),f159(x39011,x39012,x39013)),f159(x39011,x39014,x39013)),f159(x39011,f316(f316(f74(a898),x39012),x39014),x39013))
% 163.96/163.64 [3902]E(f316(f316(f316(f267(x39021),x39022),x39023),x39024),f316(f241(f905(a89,f905(a895,f902(f900(x39021)))),f904(a89,a89)),f316(f35(x39021),x39022)))
% 163.96/163.64 [3928]E(f30(f905(x39281,a895),f316(f299(x39282,f905(x39281,a895),x39283),x39284)),f316(f316(f33(x39282,f905(x39281,a895)),x39284),x39283))
% 163.96/163.64 [3929]E(f31(f905(x39291,a895),f316(f299(x39292,f905(x39291,a895),x39293),x39294)),f316(f316(f32(x39292,f905(x39291,a895)),x39294),x39293))
% 163.96/163.64 [3930]E(f316(f179(f899(f904(x39301,x39302))),f316(f316(f171(x39301,x39302),x39303),x39304)),f316(f316(f222(a898),f316(f179(f899(x39301)),x39303)),f316(f179(f899(x39302)),x39304)))
% 163.96/163.64 [3932]E(f316(f300(x39321,x39322,x39323),f316(f73(f905(x39322,a895)),x39324)),f316(f73(f905(x39321,a895)),f316(f300(x39321,x39322,x39323),x39324)))
% 163.96/163.64 [3981]E(f316(f300(x39811,x39812,x39813),f316(f251(x39812),x39814)),f316(f251(x39811),f316(f316(f8(x39812,a895,x39811),x39814),x39813)))
% 163.96/163.64 [3998]E(f316(f316(f154(x39981),f316(f316(f124(x39981),x39982),f316(f316(f141(x39981),x39983),x39984))),f316(f179(f899(x39981)),x39982)),x39983)
% 163.96/163.64 [4020]E(f316(f299(x40201,x40202,x40203),f316(f300(x40201,x40202,x40203),x40204)),f316(f316(f91(f905(x40202,a895)),x40204),f316(f299(x40201,x40202,x40203),f231(f905(x40201,a895)))))
% 163.96/163.64 [4039]P107(f316(f316(f318(x40391),f316(x40392,x40393)),f316(f299(x40394,x40391,x40392),f231(f905(x40394,a895)))))
% 163.96/163.64 [4048]E(f19(x40481,x40482,x40483,f316(a3,f316(a102,f316(a20,x40484)))),f316(f316(x40483,x40484),f19(x40481,x40482,x40483,x40484)))
% 163.96/163.64 [4052]E(f316(f316(f124(x40521),f159(x40521,x40522,x40523)),f316(f316(f141(x40521),x40523),x40524)),f316(f316(f141(x40521),x40523),f316(f316(f124(x40521),f159(x40521,x40522,x40523)),x40524)))
% 163.96/163.64 [4054]E(f316(f316(f243(x40541,x40542),f316(f162(x40541),x40543)),f316(f16(f905(x40542,a895),x40541),f316(f162(x40542),x40544))),f316(f162(f904(x40541,x40542)),f52(x40541,x40542,x40543,x40544)))
% 163.96/163.64 [4066]E(f145(x40661,x40662,f316(f316(f141(x40661),x40663),x40664)),f316(f316(f74(a898),f316(f316(f74(a898),f316(x40662,x40663)),f145(x40661,x40662,x40664))),f316(a102,f2(a898))))
% 163.96/163.64 [4079]E(f175(f899(x40791),f316(f316(f141(x40791),x40792),x40793),f316(f316(f7(a898,f899(x40791),f899(x40791)),f128(x40791)),x40793),x40794),f316(f316(f128(x40791),x40794),f316(f316(f141(x40791),x40792),x40793)))
% 163.96/163.64 [4080]P22(x40801,f904(x40802,x40801),f320(x40803,x40804,x40802,x40801),f316(f316(f33(x40802,f905(x40801,a895)),x40804),x40803))
% 163.96/163.64 [4089]E(f316(f316(f23(f905(x40891,a895)),f316(f316(f23(f905(x40891,a895)),x40892),x40893)),f316(f316(f298(x40891),x40894),f178(f905(x40891,a895)))),f316(f316(f23(f905(x40891,a895)),x40892),f316(f316(f298(x40891),x40894),x40893)))
% 163.96/163.64 [4102]E(f316(f316(f173(f905(x41021,x41022),f905(x41021,x41022)),x41023),f66(x41022,x41022,x41021,x41024)),f66(x41022,x41022,x41021,f316(f316(f173(x41022,x41022),x41023),x41024)))
% 163.96/163.64 [4174]E(f316(f316(f316(f173(f899(x41741),f899(x41741)),x41742),f157(x41741)),f316(f316(f316(f173(f899(x41741),f899(x41741)),x41743),f157(x41741)),x41744)),f316(f316(f316(f173(f899(x41741),f899(x41741)),f316(f316(f74(a898),x41742),x41743)),f157(x41741)),x41744))
% 163.96/163.64 [4259]P107(f316(f316(f224(f905(x42591,a895)),f316(f162(x42591),f316(f316(f149(x42591,x42592),x42593),x42594))),f316(f316(f298(x42591),x42594),f316(f162(x42591),x42592))))
% 163.96/163.64 [4291]E(f316(f316(f33(f905(x42911,a895),f905(f904(x42911,x42912),a895)),x42913),f316(f316(f7(f905(x42911,a895),f905(x42911,f905(x42912,a895)),f905(f904(x42911,x42912),a895)),f243(x42911,x42912)),x42914)),f316(f316(f243(x42911,x42912),f30(f905(x42911,a895),x42913)),x42914))
% 163.96/163.64 [4329]E(f199(x43291,x43292,x43293,f316(f66(x43292,f905(a89,f905(a89,f905(f904(a89,a89),f905(a89,f900(x43292))))),x43291,f194(x43292)),x43294)),f200(x43291,x43292,x43294,x43293))
% 163.96/163.64 [4344]E(f196(x43441,x43442,x43443,f316(f66(x43442,f905(a89,f905(a89,f905(f904(a89,a89),f905(a89,f900(f902(x43442)))))),x43441,f195(x43442)),x43444)),f197(x43441,x43442,x43444,x43443))
% 163.96/163.64 [4349]P107(f316(f59(x43491,x43492,x43493,x43494,f178(f905(x43491,a895))),x43494))
% 163.96/163.64 [4388]E(f316(f316(f33(x43881,f905(x43882,a895)),x43883),f316(f316(f7(x43881,f905(x43882,a895),f905(x43882,a895)),f316(f316(f8(x43882,f905(f905(x43882,a895),f905(x43882,a895)),x43881),f298(x43882)),x43884)),f178(f905(x43882,a895)))),f316(f299(x43881,x43882,x43884),x43883))
% 163.96/163.64 [4395]P107(f316(f316(f224(f905(x43951,a895)),f316(f273(x43952,x43951),f316(f316(f91(f905(f904(x43952,x43951),a895)),x43953),x43954))),f316(f316(f91(f905(x43951,a895)),f316(f273(x43952,x43951),x43953)),f316(f273(x43952,x43951),x43954))))
% 163.96/163.64 [4396]P107(f316(f316(f224(f905(x43961,a895)),f316(f253(x43961,x43962),f316(f316(f91(f905(f904(x43961,x43962),a895)),x43963),x43964))),f316(f316(f91(f905(x43961,a895)),f316(f253(x43961,x43962),x43963)),f316(f253(x43961,x43962),x43964))))
% 163.96/163.64 [4456]P107(f316(f316(f224(f905(f904(x44561,x44562),a895)),f316(f299(x44562,f904(x44561,x44562),f320(x44563,x44564,x44561,x44562)),f316(f316(f33(x44561,f905(x44562,a895)),x44564),x44563))),f316(f316(f243(x44561,x44562),x44564),x44563)))
% 163.96/163.64 [4457]E(f316(f108(x44571,f904(x44571,x44572),x44573),f316(f316(f8(f905(x44572,f900(f904(x44571,x44572))),f900(f904(x44571,x44572)),x44571),f108(x44572,f904(x44571,x44572),x44574)),f316(f316(f8(f905(x44572,f904(x44571,x44572)),f905(x44572,f900(f904(x44571,x44572))),x44571),f316(f8(f904(x44571,x44572),f900(f904(x44571,x44572)),x44572),f119(f904(x44571,x44572)))),f241(x44571,x44572)))),f121(x44571,x44572,x44573,x44574))
% 163.96/163.64 [4458]E(f265(x44581,x44582,x44583,f316(f66(x44582,f905(a89,f905(a89,f905(f904(a89,a89),f904(f905(a89,f905(a895,f902(f900(x44582)))),f904(a89,a89))))),x44581,f267(x44582)),x44584)),f268(x44581,x44582,x44584,x44583))
% 163.96/163.64 [4498]E(f79(f904(x44981,x44982),f316(f246(x44981,x44982,a895),f316(f316(f7(x44981,f905(x44982,a895),f905(x44982,a895)),f316(f316(f8(f905(a895,a895),f905(f905(x44982,a895),f905(x44982,a895)),x44981),f8(a895,a895,x44982)),f316(f316(f8(a895,f905(a895,a895),x44981),a314),f316(a313,x44983)))),f316(a313,x44984)))),f316(f316(f241(x44981,x44982),x44983),x44984))
% 163.96/163.64 [4499]E(f84(f904(x44991,x44992),f316(f246(x44991,x44992,a895),f316(f316(f7(x44991,f905(x44992,a895),f905(x44992,a895)),f316(f316(f8(f905(a895,a895),f905(f905(x44992,a895),f905(x44992,a895)),x44991),f8(a895,a895,x44992)),f316(f316(f8(a895,f905(a895,a895),x44991),a314),f316(a313,x44993)))),f316(a313,x44994)))),f316(f316(f241(x44991,x44992),x44993),x44994))
% 163.96/163.64 [4570]E(f316(f316(f246(f899(x45701),f899(x45701),f904(f899(x45701),f899(x45701))),f316(f316(f18(f899(x45701),f905(f899(x45701),f904(f899(x45701),f899(x45701))),f905(f899(x45701),f904(f899(x45701),f899(x45701)))),f316(f316(f8(f905(f899(x45701),f905(f904(f899(x45701),f899(x45701)),f904(f899(x45701),f899(x45701)))),f905(f905(f899(x45701),f904(f899(x45701),f899(x45701))),f905(f899(x45701),f904(f899(x45701),f899(x45701)))),f899(x45701)),f18(f899(x45701),f904(f899(x45701),f899(x45701)),f904(f899(x45701),f899(x45701)))),f316(f316(f8(f905(f899(x45701),f904(f899(x45701),f899(x45701))),f905(f899(x45701),f905(f904(f899(x45701),f899(x45701)),f904(f899(x45701),f899(x45701)))),f899(x45701)),f316(f8(f904(f899(x45701),f899(x45701)),f905(f904(f899(x45701),f899(x45701)),f904(f899(x45701),f899(x45701))),f899(x45701)),f316(f86(f904(f899(x45701),f899(x45701))),f316(x45702,x45703)))),f316(f316(f8(f899(x45701),f905(f899(x45701),f904(f899(x45701),f899(x45701))),f899(x45701)),f241(f899(x45701),f899(x45701))),f316(f141(x45701),x45703))))),f316(f316(f7(f899(x45701),f905(f899(x45701),f899(x45701)),f905(f899(x45701),f904(f899(x45701),f899(x45701)))),f316(f316(f8(f905(f899(x45701),f904(f899(x45701),f899(x45701))),f905(f905(f899(x45701),f899(x45701)),f905(f899(x45701),f904(f899(x45701),f899(x45701)))),f899(x45701)),f8(f899(x45701),f904(f899(x45701),f899(x45701)),f899(x45701))),f241(f899(x45701),f899(x45701)))),f316(f141(x45701),x45703)))),f156(x45701,x45702,x45704)),f156(x45701,x45702,f316(f316(f141(x45701),x45703),x45704)))
% 163.96/163.64 [3818]E(f316(f316(f165(x38181),x38182),f316(f316(f165(x38181),x38183),x38184)),f316(f316(f165(x38181),f316(f316(f222(a898),x38182),x38183)),x38184))
% 163.96/163.64 [3819]E(f316(f316(f128(x38191),x38192),f316(f316(f128(x38191),x38193),x38194)),f316(f316(f128(x38191),f316(f316(f74(a898),x38192),x38193)),x38194))
% 163.96/163.64 [3830]E(f316(f316(f124(x38301),f316(f316(f141(x38301),x38302),x38303)),x38304),f316(f316(f141(x38301),x38302),f316(f316(f124(x38301),x38303),x38304)))
% 163.96/163.64 [3831]E(f316(f316(f124(x38311),f316(f316(f124(x38311),x38312),x38313)),x38314),f316(f316(f124(x38311),x38312),f316(f316(f124(x38311),x38313),x38314)))
% 163.96/163.64 [3912]E(f316(f316(f154(x39121),f316(f316(f141(x39121),x39122),x39123)),x39124),f175(x39121,x39122,f316(f154(x39121),x39123),x39124))
% 163.96/163.64 [3921]E(f316(f316(f173(x39211,x39211),x39212),f316(f316(f173(x39211,x39211),x39213),x39214)),f316(f316(f173(x39211,x39211),f316(f316(f75(a898),x39213),x39212)),x39214))
% 163.96/163.64 [3948]E(f316(f316(f100(f905(x39481,a895)),x39482),f316(f316(f298(x39481),x39483),x39484)),f316(f316(f298(x39481),x39483),f316(f316(f100(f905(x39481,a895)),x39482),x39484)))
% 163.96/163.64 [3963]E(f316(f316(f316(f173(x39631,x39631),x39632),x39633),f316(x39633,x39634)),f316(x39633,f316(f316(f316(f173(x39631,x39631),x39632),x39633),x39634)))
% 163.96/163.64 [3972]E(f316(f316(f278(x39721,x39722,x39723),f178(f905(f904(x39721,x39722),a895))),x39724),f178(f905(f904(x39721,x39723),a895)))
% 163.96/163.64 [3986]E(f316(f316(f100(f905(x39861,a895)),f316(f316(f298(x39861),x39862),x39863)),x39864),f316(f316(f298(x39861),x39862),f316(f316(f100(f905(x39861,a895)),x39863),x39864)))
% 163.96/163.64 [4005]E(f316(f28(f904(x40051,x40052)),f316(f316(f243(x40051,x40052),x40053),f316(f16(f905(x40052,a895),x40051),x40054))),f316(f316(f75(a898),f316(f28(x40051),x40053)),f316(f28(x40052),x40054)))
% 163.96/163.64 [4011]E(f316(f316(f91(f905(x40111,a895)),f316(f316(f298(x40111),x40112),x40113)),f316(f316(f298(x40111),x40112),x40114)),f316(f316(f298(x40111),x40112),f316(f316(f91(f905(x40111,a895)),x40113),x40114)))
% 163.96/163.64 [4024]E(f316(f316(f100(f905(x40241,a895)),x40242),f316(f316(f100(f905(x40241,a895)),x40243),x40244)),f316(f316(f100(f905(x40241,a895)),x40243),f316(f316(f100(f905(x40241,a895)),x40242),x40244)))
% 163.96/163.64 [4025]E(f316(f316(f91(f905(x40251,a895)),x40252),f316(f316(f91(f905(x40251,a895)),x40253),x40254)),f316(f316(f91(f905(x40251,a895)),x40253),f316(f316(f91(f905(x40251,a895)),x40252),x40254)))
% 163.96/163.64 [4035]E(f57(x40351,x40352,f316(f316(f8(x40352,f905(x40352,x40352),x40351),x40353),x40354)),f316(f58(x40352,x40351,x40353),x40354))
% 163.96/163.64 [4044]E(f169(x40441,f316(f316(f144(f899(x40442),f899(x40441)),f316(f144(x40442,x40441),x40443)),x40444)),f316(f316(f144(f899(x40442),f899(x40441)),f316(f144(x40442,x40441),x40443)),f169(x40442,x40444)))
% 163.96/163.64 [4063]E(f316(f132(f899(x40631),f899(x40631),f124(x40631),f103(x40631)),f316(f316(f144(x40632,f899(x40631)),x40633),x40634)),f153(x40632,x40631,x40633,x40634))
% 163.96/163.64 [4121]E(f316(f66(x41211,x41211,x41211,f316(f316(f173(x41211,x41211),x41212),x41213)),f316(f316(f173(x41211,x41211),x41214),x41213)),f316(f316(f173(x41211,x41211),f316(f316(f74(a898),x41212),x41214)),x41213))
% 163.96/163.64 [4144]E(f316(f316(f91(f905(x41441,a895)),f316(f316(f23(f905(x41441,a895)),x41442),x41443)),f316(f316(f23(f905(x41441,a895)),x41442),x41444)),f316(f316(f23(f905(x41441,a895)),x41442),f316(f316(f100(f905(x41441,a895)),x41443),x41444)))
% 163.96/163.64 [4145]E(f316(f316(f100(f905(x41451,a895)),f316(f316(f23(f905(x41451,a895)),x41452),x41453)),f316(f316(f23(f905(x41451,a895)),x41452),x41454)),f316(f316(f23(f905(x41451,a895)),x41452),f316(f316(f91(f905(x41451,a895)),x41453),x41454)))
% 163.96/163.64 [4146]E(f316(f316(f91(f905(x41461,a895)),f316(f316(f100(f905(x41461,a895)),x41462),x41463)),f316(f316(f100(f905(x41461,a895)),x41462),x41464)),f316(f316(f100(f905(x41461,a895)),x41462),f316(f316(f91(f905(x41461,a895)),x41463),x41464)))
% 163.96/163.64 [4147]E(f316(f316(f23(f905(x41471,a895)),f316(f316(f91(f905(x41471,a895)),x41472),x41473)),f316(f316(f91(f905(x41471,a895)),x41472),x41474)),f316(f316(f91(f905(x41471,a895)),x41472),f316(f316(f23(f905(x41471,a895)),x41473),x41474)))
% 163.96/163.64 [4148]E(f316(f316(f100(f905(x41481,a895)),f316(f316(f91(f905(x41481,a895)),x41482),x41483)),f316(f316(f91(f905(x41481,a895)),x41482),x41484)),f316(f316(f91(f905(x41481,a895)),x41482),f316(f316(f100(f905(x41481,a895)),x41483),x41484)))
% 163.96/163.64 [4153]E(f316(f28(f904(x41531,x41532)),f316(f316(f243(x41531,x41532),f316(f316(f298(x41531),x41533),f178(f905(x41531,a895)))),f316(f16(f905(x41532,a895),x41531),x41534))),f316(f28(x41532),x41534))
% 163.96/163.64 [4188]E(f316(f316(f33(x41881,f905(x41882,a895)),x41883),f316(f316(f8(f905(x41882,a895),f905(x41882,a895),x41881),f73(f905(x41882,a895))),x41884)),f316(f73(f905(x41882,a895)),f316(f316(f32(x41881,f905(x41882,a895)),x41883),x41884)))
% 163.96/163.64 [4189]E(f316(f316(f32(x41891,f905(x41892,a895)),x41893),f316(f316(f8(f905(x41892,a895),f905(x41892,a895),x41891),f73(f905(x41892,a895))),x41894)),f316(f73(f905(x41892,a895)),f316(f316(f33(x41891,f905(x41892,a895)),x41893),x41894)))
% 163.96/163.64 [4205]E(f316(f316(f278(x42051,x42051,x42051),f316(f316(f173(f904(x42051,x42051),a895),x42052),x42053)),f316(f316(f173(f904(x42051,x42051),a895),x42054),x42053)),f316(f316(f173(f904(x42051,x42051),a895),f316(f316(f74(a898),x42052),x42054)),x42053))
% 163.96/163.64 [4235]E(f316(f316(f32(x42351,f905(f905(x42352,a895),a895)),x42353),f316(f316(f8(f905(x42352,a895),f905(f905(x42352,a895),a895),x42351),f297(x42352)),x42354)),f316(f297(x42352),f316(f316(f32(x42351,f905(x42352,a895)),x42353),x42354)))
% 163.96/163.64 [4264]E(f316(f316(f32(f905(x42641,a895),f905(x42642,a895)),x42643),f316(f316(f7(f905(x42641,a895),f905(x42641,f905(x42642,a895)),f905(x42642,a895)),f32(x42641,f905(x42642,a895))),x42644)),f316(f316(f32(x42641,f905(x42642,a895)),f30(f905(x42641,a895),x42643)),x42644))
% 163.96/163.64 [4265]E(f316(f316(f33(f905(x42651,a895),f905(x42652,a895)),x42653),f316(f316(f7(f905(x42651,a895),f905(x42651,f905(x42652,a895)),f905(x42652,a895)),f33(x42651,f905(x42652,a895))),x42654)),f316(f316(f33(x42651,f905(x42652,a895)),f30(f905(x42651,a895),x42653)),x42654))
% 163.96/163.64 [4270]E(f316(f316(f144(x42701,x42702),x42703),f316(f132(f899(x42701),f899(x42701),f124(x42701),f103(x42701)),x42704)),f316(f132(f899(x42702),f899(x42702),f124(x42702),f103(x42702)),f316(f316(f144(f899(x42701),f899(x42702)),f316(f144(x42701,x42702),x42703)),x42704)))
% 163.96/163.64 [4272]E(f175(f899(x42721),f103(x42721),f316(f316(f8(f899(x42721),f899(x42721),a898),f316(f141(x42721),x42722)),f316(f316(f7(a898,f899(x42721),f899(x42721)),f165(x42721)),x42723)),x42724),f316(f316(f165(x42721),x42724),f316(f316(f141(x42721),x42722),x42723)))
% 163.96/163.64 [4310]P107(f316(f316(f224(f905(x43101,a895)),f316(f299(x43102,x43101,x43103),f316(f300(x43102,x43101,x43103),x43104))),x43104))
% 163.96/163.64 [4312]E(f316(f299(f904(x43121,x43122),f904(x43122,x43121),f316(f246(x43121,x43122,f904(x43122,x43121)),f316(f7(x43122,x43121,f904(x43122,x43121)),f241(x43122,x43121)))),f316(f316(f243(x43121,x43122),x43123),f316(f16(f905(x43122,a895),x43121),x43124))),f316(f316(f243(x43122,x43121),x43124),f316(f16(f905(x43121,a895),x43122),x43123)))
% 163.96/163.64 [4321]E(f316(f316(f33(x43211,f905(x43212,a895)),x43213),f316(f316(f8(f905(x43211,a895),f905(x43212,a895),x43211),f274(x43211,x43212,x43214)),f316(f316(f7(x43211,f905(x43211,a895),f905(x43211,a895)),f298(x43211)),f178(f905(x43211,a895))))),f316(f274(x43211,x43212,x43214),x43213))
% 163.96/163.64 [4322]E(f316(f316(f33(x43221,f905(x43222,a895)),x43223),f316(f316(f8(f905(x43221,a895),f905(x43222,a895),x43221),f300(x43222,x43221,x43224)),f316(f316(f7(x43221,f905(x43221,a895),f905(x43221,a895)),f298(x43221)),f178(f905(x43221,a895))))),f316(f300(x43222,x43221,x43224),x43223))
% 163.96/163.64 [4409]E(f316(f316(f100(f905(x44091,a895)),f316(f316(f100(f905(x44091,a895)),f316(f316(f91(f905(x44091,a895)),x44092),x44093)),f316(f316(f91(f905(x44091,a895)),x44093),x44094))),f316(f316(f91(f905(x44091,a895)),x44094),x44092)),f316(f316(f91(f905(x44091,a895)),f316(f316(f91(f905(x44091,a895)),f316(f316(f100(f905(x44091,a895)),x44092),x44093)),f316(f316(f100(f905(x44091,a895)),x44093),x44094))),f316(f316(f100(f905(x44091,a895)),x44094),x44092)))
% 163.96/163.64 [4472]E(f316(f132(f899(x44721),f899(x44721),f124(x44721),f103(x44721)),f316(f316(f144(x44722,f899(x44721)),f316(f316(f7(x44722,f899(x44721),f899(x44721)),f316(f316(f8(x44721,f905(f899(x44721),f899(x44721)),x44722),f141(x44721)),x44723)),f103(x44721))),x44724)),f316(f316(f144(x44722,x44721),x44723),x44724))
% 163.96/163.64 [4482]E(f316(f316(f80(a1,x44821),f316(f93(a1),f316(f316(f74(a1),x44822),a87))),f316(f316(f18(a1,x44821,x44821),f316(f316(f7(a1,x44821,f905(x44821,x44821)),f316(f316(f8(a895,f905(x44821,f905(x44821,x44821)),a1),f86(x44821)),a183)),x44823)),f316(f316(f8(a898,x44821,a1),x44824),a94))),f175(x44821,x44823,x44824,f316(f93(a898),x44822)))
% 163.96/163.64 [4513]E(f316(f251(x45131),f316(f316(f8(f905(x45132,a895),a895,x45131),f81(x45132)),f316(f316(f8(f905(x45132,a895),f905(x45132,a895),x45131),f316(f18(x45132,a895,a895),f316(f316(f8(a895,f905(a895,a895),x45132),a314),f316(f316(f7(x45132,f905(x45132,a895),a895),f318(x45132)),x45133)))),f316(f7(x45132,x45131,a895),x45134)))),f316(f274(x45132,x45131,f316(f251(f904(x45132,x45131)),f316(f246(x45132,x45131,a895),x45134))),x45133))
% 163.96/163.64 [4648]~P107(f316(f316(f178(f905(x46481,f905(x46482,a895))),x46483),x46484))
% 163.96/163.64 [3975]E(f316(f316(f154(x39751),f316(f316(f124(x39751),x39752),x39753)),f316(f316(f74(a898),f316(f179(f899(x39751)),x39752)),x39754)),f316(f316(f154(x39751),x39753),x39754))
% 163.96/163.64 [3980]E(f316(f316(f128(x39801),x39802),f316(f316(f165(x39801),f316(f316(f74(a898),x39803),x39802)),x39804)),f316(f316(f165(x39801),x39803),f316(f316(f128(x39801),x39802),x39804)))
% 163.96/163.64 [4077]E(f316(f316(f100(f905(x40771,a895)),f316(f273(x40772,x40771),x40773)),f316(f273(x40772,x40771),x40774)),f316(f273(x40772,x40771),f316(f316(f100(f905(f904(x40772,x40771),a895)),x40773),x40774)))
% 163.96/163.64 [4078]E(f316(f316(f100(f905(x40781,a895)),f316(f253(x40781,x40782),x40783)),f316(f253(x40781,x40782),x40784)),f316(f253(x40781,x40782),f316(f316(f100(f905(f904(x40781,x40782),a895)),x40783),x40784)))
% 163.96/163.64 [4083]E(f316(f316(f23(f905(x40831,a895)),f316(f316(f91(f905(x40831,a895)),x40832),x40833)),x40834),f316(f316(f91(f905(x40831,a895)),x40832),f316(f316(f23(f905(x40831,a895)),x40833),x40834)))
% 163.96/163.64 [4084]E(f316(f316(f100(f905(x40841,a895)),f316(f316(f100(f905(x40841,a895)),x40842),x40843)),x40844),f316(f316(f100(f905(x40841,a895)),x40842),f316(f316(f100(f905(x40841,a895)),x40843),x40844)))
% 163.96/163.64 [4085]E(f316(f316(f91(f905(x40851,a895)),f316(f316(f91(f905(x40851,a895)),x40852),x40853)),x40854),f316(f316(f91(f905(x40851,a895)),x40852),f316(f316(f91(f905(x40851,a895)),x40853),x40854)))
% 163.96/163.64 [4123]E(f316(f316(f100(f905(f904(x41231,x41232),a895)),f316(f275(x41232,x41231),x41233)),f316(f275(x41232,x41231),x41234)),f316(f275(x41232,x41231),f316(f316(f100(f905(f904(x41232,x41231),a895)),x41233),x41234)))
% 163.96/163.64 [4124]E(f316(f316(f91(f905(f904(x41241,x41242),a895)),f316(f275(x41242,x41241),x41243)),f316(f275(x41242,x41241),x41244)),f316(f275(x41242,x41241),f316(f316(f91(f905(f904(x41242,x41241),a895)),x41243),x41244)))
% 163.96/163.64 [4137]E(f316(f316(f100(f905(x41371,f905(x41372,a895))),f232(x41372,x41371,x41373)),f232(x41372,x41371,x41374)),f232(x41372,x41371,f316(f316(f100(f905(x41372,f905(x41371,a895))),x41373),x41374)))
% 163.96/163.64 [4138]E(f316(f316(f91(f905(x41381,f905(x41382,a895))),f232(x41382,x41381,x41383)),f232(x41382,x41381,x41384)),f232(x41382,x41381,f316(f316(f91(f905(x41382,f905(x41381,a895))),x41383),x41384)))
% 163.96/163.64 [4192]E(f316(f316(f100(f905(x41921,a895)),f316(f316(f23(f905(x41921,a895)),x41922),x41923)),f316(f316(f23(f905(x41921,a895)),x41924),x41923)),f316(f316(f23(f905(x41921,a895)),f316(f316(f100(f905(x41921,a895)),x41922),x41924)),x41923))
% 163.96/163.64 [4193]E(f316(f316(f91(f905(x41931,a895)),f316(f316(f100(f905(x41931,a895)),x41932),x41933)),f316(f316(f100(f905(x41931,a895)),x41934),x41933)),f316(f316(f100(f905(x41931,a895)),f316(f316(f91(f905(x41931,a895)),x41932),x41934)),x41933))
% 163.96/163.64 [4194]E(f316(f316(f23(f905(x41941,a895)),f316(f316(f91(f905(x41941,a895)),x41942),x41943)),f316(f316(f91(f905(x41941,a895)),x41944),x41943)),f316(f316(f91(f905(x41941,a895)),f316(f316(f23(f905(x41941,a895)),x41942),x41944)),x41943))
% 163.96/163.64 [4195]E(f316(f316(f100(f905(x41951,a895)),f316(f316(f91(f905(x41951,a895)),x41952),x41953)),f316(f316(f91(f905(x41951,a895)),x41954),x41953)),f316(f316(f91(f905(x41951,a895)),f316(f316(f100(f905(x41951,a895)),x41952),x41954)),x41953))
% 163.96/163.64 [4196]E(f316(f316(f23(f905(x41961,a895)),f316(f316(f91(f905(x41961,a895)),x41962),x41963)),f316(f316(f91(f905(x41961,a895)),x41964),x41963)),f316(f316(f23(f905(x41961,a895)),f316(f316(f91(f905(x41961,a895)),x41962),x41963)),x41964))
% 163.96/163.64 [4208]E(f316(f316(f23(f905(x42081,a895)),f316(f316(f23(f905(x42081,a895)),x42082),f316(f316(f298(x42081),x42083),f178(f905(x42081,a895))))),x42084),f316(f316(f23(f905(x42081,a895)),x42082),f316(f316(f298(x42081),x42083),x42084)))
% 163.96/163.64 [4261]E(f316(f316(f100(f905(x42611,a895)),f316(f316(f298(x42611),x42612),f316(f316(f298(x42611),x42613),f178(f905(x42611,a895))))),f316(f270(x42611),x42614)),f316(f270(x42611),f316(f316(f298(f904(x42611,x42611)),f316(f316(f241(x42611,x42611),x42612),x42613)),x42614)))
% 163.96/163.64 [4286]E(f316(f316(f33(a898,f905(x42861,a895)),f316(f290(a898),x42862)),f316(f316(f8(a898,f905(x42861,a895),a898),x42863),f316(f316(f7(a898,a898,a898),f74(a898)),x42864))),f316(f316(f33(a898,f905(x42861,a895)),f292(a898,x42864,f316(f316(f74(a898),x42862),x42864))),x42863))
% 163.96/163.64 [4287]E(f164(x42871,f316(f274(x42871,x42871,x42872),f316(f316(f298(x42871),x42873),f178(f905(x42871,a895)))),f316(f274(f899(x42871),f899(x42871),f148(x42871,x42872)),f316(f316(f298(f899(x42871)),x42874),f178(f905(f899(x42871),a895))))),f316(f274(f899(x42871),f899(x42871),f148(x42871,x42872)),f316(f316(f298(f899(x42871)),f316(f316(f141(x42871),x42873),x42874)),f178(f905(f899(x42871),a895)))))
% 163.96/163.64 [4351]E(f316(f251(x43511),f316(f316(f7(x43511,f905(x43512,a895),a895),f316(f316(f8(x43512,f905(f905(x43512,a895),a895),x43511),f318(x43512)),x43513)),x43514)),f316(f300(x43511,x43512,x43513),x43514))
% 163.96/163.64 [4441]E(f316(f251(x44411),f316(f316(f7(x44411,f905(f904(x44412,x44411),a895),a895),f316(f316(f8(f904(x44412,x44411),f905(f905(f904(x44412,x44411),a895),a895),x44411),f318(f904(x44412,x44411))),f316(f241(x44412,x44411),x44413))),x44414)),f316(f274(x44412,x44411,x44414),f316(f316(f298(x44412),x44413),f178(f905(x44412,a895)))))
% 163.96/163.64 [4455]E(f316(f316(f144(f904(x44551,a898),x44551),f240(x44551,a898)),f316(f126(f904(x44551,a898),f316(f316(f8(a898,a895,f904(x44551,a898)),x44552),f316(f316(f8(a898,a898,f904(x44551,a898)),a102),f245(x44551,a898)))),f316(f316(f171(x44551,a898),x44553),x44554))),f316(f316(f144(f904(x44551,a898),x44551),f240(x44551,a898)),f316(f126(f904(x44551,a898),f316(f316(f8(a898,a895,f904(x44551,a898)),x44552),f245(x44551,a898))),f316(f316(f171(x44551,a898),x44553),f316(f316(f144(a898,a898),a102),x44554)))))
% 163.96/163.64 [4464]P107(f316(f316(f224(f905(f905(x44641,a895),a895)),f316(f316(f33(x44642,f905(f905(x44641,a895),a895)),x44643),f316(f316(f8(f905(x44641,a895),f905(f905(x44641,a895),a895),x44642),f297(x44641)),x44644))),f316(f297(x44641),f316(f316(f33(x44642,f905(x44641,a895)),x44643),x44644))))
% 163.96/163.64 [4505]E(f316(f316(f80(a1,x45051),f316(f93(a1),f316(f316(f74(a1),x45052),a87))),f316(f316(f18(a1,x45051,x45051),f316(f316(f7(a1,x45051,f905(x45051,x45051)),f316(f316(f8(a895,f905(x45051,f905(x45051,x45051)),a1),f86(x45051)),a183)),x45053)),f316(f316(f18(a1,x45051,x45051),f316(f316(f8(a898,f905(x45051,x45051),a1),x45054),a94)),f316(f316(f8(a898,x45051,a1),f174(x45051,x45053,x45054)),a94)))),f316(f174(x45051,x45053,x45054),f316(f93(a898),x45052)))
% 163.96/163.64 [4529]E(f316(f251(f904(x45291,x45292)),f316(f246(x45291,x45292,a895),f316(f316(f7(x45291,f905(x45292,a895),f905(x45292,a895)),f316(f316(f8(f905(a895,a895),f905(f905(x45292,a895),f905(x45292,a895)),x45291),f8(a895,a895,x45292)),f316(f316(f8(a895,f905(a895,a895),x45291),a314),f316(f316(f7(x45291,f905(x45291,a895),a895),f318(x45291)),x45293)))),f316(f316(f7(x45292,f905(x45292,a895),a895),f318(x45292)),x45294)))),f219(x45291,x45292,x45293,x45294))
% 163.96/163.64 [4565]E(f316(f316(f33(x45651,f905(f904(x45651,x45652),a895)),x45653),f316(f316(f18(x45651,f905(x45652,f905(f904(x45651,x45652),a895)),f905(f904(x45651,x45652),a895)),f316(f316(f8(f905(x45652,a895),f905(f905(x45652,f905(f904(x45651,x45652),a895)),f905(f904(x45651,x45652),a895)),x45651),f33(x45652,f905(f904(x45651,x45652),a895))),x45654)),f316(f316(f7(x45651,f905(f904(x45651,x45652),a895),f905(x45652,f905(f904(x45651,x45652),a895))),f316(f316(f8(f905(x45652,f905(f905(f904(x45651,x45652),a895),f905(f904(x45651,x45652),a895))),f905(f905(f904(x45651,x45652),a895),f905(x45652,f905(f904(x45651,x45652),a895))),x45651),f7(x45652,f905(f904(x45651,x45652),a895),f905(f904(x45651,x45652),a895))),f316(f316(f8(f905(x45652,f904(x45651,x45652)),f905(x45652,f905(f905(f904(x45651,x45652),a895),f905(f904(x45651,x45652),a895))),x45651),f316(f8(f904(x45651,x45652),f905(f905(f904(x45651,x45652),a895),f905(f904(x45651,x45652),a895)),x45652),f298(f904(x45651,x45652)))),f241(x45651,x45652)))),f178(f905(f904(x45651,x45652),a895))))),f316(f316(f243(x45651,x45652),x45653),x45654))
% 163.96/163.64 [4132]E(f316(f316(f124(x41321),f316(f316(f165(x41321),x41322),x41323)),f316(f316(f165(x41321),f316(f316(f23(a898),x41322),f316(f179(f899(x41321)),x41323))),x41324)),f316(f316(f165(x41321),x41322),f316(f316(f124(x41321),x41323),x41324)))
% 163.96/163.64 [4133]E(f316(f316(f124(x41331),f316(f316(f128(x41331),x41332),x41333)),f316(f316(f128(x41331),f316(f316(f23(a898),x41332),f316(f179(f899(x41331)),x41333))),x41334)),f316(f316(f128(x41331),x41332),f316(f316(f124(x41331),x41333),x41334)))
% 163.96/163.64 [4182]E(f316(f316(f74(a898),f316(f316(f75(a898),x41821),x41822)),f316(f316(f74(a898),f316(f316(f75(a898),x41823),x41822)),x41824)),f316(f316(f74(a898),f316(f316(f75(a898),f316(f316(f74(a898),x41821),x41823)),x41822)),x41824))
% 163.96/163.64 [4327]E(f84(x43271,f316(f316(f7(x43271,x43272,a895),f316(f316(f8(x43272,f905(x43272,a895),x43271),a313),x43273)),x43274)),f316(f85(x43271,x43272,f231(f905(x43271,a895)),x43273),x43274))
% 163.96/163.64 [4375]P107(f316(f316(f224(f905(x43751,a895)),f316(f316(f23(f905(x43751,a895)),f316(f273(x43752,x43751),x43753)),f316(f273(x43752,x43751),x43754))),f316(f273(x43752,x43751),f316(f316(f23(f905(f904(x43752,x43751),a895)),x43753),x43754))))
% 163.96/163.64 [4376]P107(f316(f316(f224(f905(x43761,a895)),f316(f316(f23(f905(x43761,a895)),f316(f253(x43761,x43762),x43763)),f316(f253(x43761,x43762),x43764))),f316(f253(x43761,x43762),f316(f316(f23(f905(f904(x43761,x43762),a895)),x43763),x43764))))
% 163.96/163.64 [4484]E(f316(f316(f74(a1),f316(a83,f316(f274(f904(a898,a898),f904(a898,a898),a98),f316(f316(f298(f904(a898,a898)),f316(f316(f241(a898,a898),x44841),x44842)),f178(f905(f904(a898,a898),a895)))))),f316(a83,f316(f274(f904(a898,a898),f904(a898,a898),a98),f316(f316(f298(f904(a898,a898)),f316(f316(f241(a898,a898),x44843),x44844)),f178(f905(f904(a898,a898),a895)))))),f316(a83,f316(f274(f904(a898,a898),f904(a898,a898),a98),f316(f316(f298(f904(a898,a898)),f316(f316(f241(a898,a898),f316(f316(f74(a898),x44841),x44843)),f316(f316(f74(a898),x44842),x44844))),f178(f905(f904(a898,a898),a895))))))
% 163.96/163.64 [4524]E(f316(f316(f75(a1),f316(a83,f316(f274(f904(a898,a898),f904(a898,a898),a98),f316(f316(f298(f904(a898,a898)),f316(f316(f241(a898,a898),x45241),x45242)),f178(f905(f904(a898,a898),a895)))))),f316(a83,f316(f274(f904(a898,a898),f904(a898,a898),a98),f316(f316(f298(f904(a898,a898)),f316(f316(f241(a898,a898),x45243),x45244)),f178(f905(f904(a898,a898),a895)))))),f316(a83,f316(f274(f904(a898,a898),f904(a898,a898),a98),f316(f316(f298(f904(a898,a898)),f316(f316(f241(a898,a898),f316(f316(f74(a898),f316(f316(f75(a898),x45241),x45243)),f316(f316(f75(a898),x45242),x45244))),f316(f316(f74(a898),f316(f316(f75(a898),x45241),x45244)),f316(f316(f75(a898),x45242),x45243)))),f178(f905(f904(a898,a898),a895))))))
% 163.96/163.64 [4545]E(f316(f251(x45451),f316(f316(f8(f905(x45452,a895),a895,x45451),f82(x45452)),f316(f316(f8(f905(x45452,a895),f905(x45452,a895),x45451),f316(f18(x45452,a895,a895),f316(f316(f8(a895,f905(a895,a895),x45452),a319),f316(f316(f7(x45452,f905(x45452,a895),a895),f318(x45452)),x45453)))),f316(f316(f7(x45451,f905(x45452,f905(x45451,a895)),f905(x45452,a895)),f316(f316(f8(f905(f905(x45451,a895),a895),f905(f905(x45452,f905(x45451,a895)),f905(x45452,a895)),x45451),f8(f905(x45451,a895),a895,x45452)),f318(x45451))),x45454)))),f316(f316(f32(x45452,f905(x45451,a895)),x45453),x45454))
% 163.96/163.64 [4577]E(f316(f316(f278(x45771,x45771,x45771),f316(f316(f298(f904(x45771,x45771)),f316(f316(f241(x45771,x45771),x45772),x45773)),x45774)),f296(x45771,f316(f316(f298(f904(x45771,x45771)),f316(f316(f241(x45771,x45771),x45772),x45773)),x45774))),f316(f316(f100(f905(f904(x45771,x45771),a895)),f316(f316(f278(x45771,x45771,x45771),x45774),f296(x45771,x45774))),f316(f251(f904(x45771,x45771)),f316(f246(x45771,x45771,a895),f316(f316(f7(x45771,f905(x45771,a895),f905(x45771,a895)),f316(f316(f8(f905(a895,a895),f905(f905(x45771,a895),f905(x45771,a895)),x45771),f8(a895,a895,x45771)),f316(f316(f8(a895,f905(a895,a895),x45771),a314),f316(f316(f7(x45771,f905(f904(x45771,x45771),a895),a895),f316(f316(f8(f904(x45771,x45771),f905(f905(f904(x45771,x45771),a895),a895),x45771),f318(f904(x45771,x45771))),f316(f316(f7(x45771,x45771,f904(x45771,x45771)),f241(x45771,x45771)),x45772))),f296(x45771,x45774))))),f316(f316(f7(x45771,f905(f904(x45771,x45771),a895),a895),f316(f316(f8(f904(x45771,x45771),f905(f905(f904(x45771,x45771),a895),a895),x45771),f318(f904(x45771,x45771))),f316(f241(x45771,x45771),x45773))),f296(x45771,x45774)))))))
% 163.96/163.64 [4377]E(f316(f126(x43771,f316(f316(f18(x43771,a895,a895),f316(f316(f8(a895,f905(a895,a895),x43771),a314),x43772)),x43773)),x43774),f316(f126(x43771,x43773),f316(f126(x43771,x43772),x43774)))
% 163.96/163.64 [4478]E(f316(f316(f124(x44781),f316(f316(f316(f86(f899(x44781)),f316(f316(f318(a898),f2(a898)),x44782)),f316(f316(f141(x44781),x44783),f103(x44781))),f103(x44781))),f166(x44781,x44784,f316(f251(a898),f316(f316(f7(a898,f905(a898,a895),a895),f316(f316(f8(a898,f905(f905(a898,a895),a895),a898),f318(a898)),a102)),x44782)))),f166(x44781,f316(f316(f141(x44781),x44783),x44784),x44782))
% 163.96/163.64 [4573]E(f316(f251(f904(x45731,x45732)),f316(f316(f8(f905(a898,a895),a895,f904(x45731,x45732)),f81(a898)),f316(f316(f7(f904(x45731,x45732),f905(a898,a895),f905(a898,a895)),f316(f316(f8(f905(a898,f905(a895,a895)),f905(f905(a898,a895),f905(a898,a895)),f904(x45731,x45732)),f18(a898,a895,a895)),f316(f316(f8(f905(a898,a895),f905(a898,f905(a895,a895)),f904(x45731,x45732)),f316(f8(a895,f905(a895,a895),a898),a314)),f316(f316(f7(f904(x45731,x45732),f905(a898,f904(x45731,x45732)),f905(a898,a895)),f316(f316(f8(f905(f904(x45731,x45732),a895),f905(f905(a898,f904(x45731,x45732)),f905(a898,a895)),f904(x45731,x45732)),f8(f904(x45731,x45732),a895,a898)),a313)),f316(f316(f18(a898,x45732,f904(x45731,x45732)),f316(f316(f8(x45731,f905(x45732,f904(x45731,x45732)),a898),f241(x45731,x45732)),f316(f154(x45731),x45733))),f316(f154(x45732),x45734)))))),f316(f316(f7(a898,a898,a895),f225(a898)),f316(f316(f222(a898),f316(f179(f899(x45731)),x45733)),f316(f179(f899(x45732)),x45734)))))),f316(f162(f904(x45731,x45732)),f316(f316(f171(x45731,x45732),x45733),x45734)))
% 163.96/163.64 [4497]E(f316(f251(f904(x44971,x44972)),f316(f246(x44971,x44972,a895),f316(f316(f7(x44971,f905(x44972,a895),f905(x44972,a895)),f316(f316(f8(f905(a895,a895),f905(f905(x44972,a895),f905(x44972,a895)),x44971),f8(a895,a895,x44972)),f316(f316(f8(a895,f905(a895,a895),x44971),a314),x44973))),x44974))),f316(f316(f243(x44971,x44972),f316(f251(x44971),x44973)),f316(f16(f905(x44972,a895),x44971),f316(f251(x44972),x44974))))
% 163.96/163.64 [4500]E(f316(f251(f904(x45001,x45002)),f316(f246(x45001,x45002,a895),f316(f316(f18(x45001,f905(x45002,a895),f905(x45002,a895)),f316(f316(f8(f905(a895,a895),f905(f905(x45002,a895),f905(x45002,a895)),x45001),f8(a895,a895,x45002)),f316(f316(f8(a895,f905(a895,a895),x45001),a314),x45003))),x45004))),f316(f316(f243(x45001,x45002),f316(f251(x45001),x45003)),f316(f316(f8(f905(x45002,a895),f905(x45002,a895),x45001),f251(x45002)),x45004)))
% 163.96/163.64 [4512]E(f316(f251(x45121),f316(f316(f8(f905(x45122,a895),a895,x45121),f82(x45122)),f316(f316(f8(f905(x45122,a895),f905(x45122,a895),x45121),f316(f18(x45122,a895,a895),f316(f316(f8(a895,f905(a895,a895),x45122),a319),f316(f316(f7(x45122,f905(x45122,a895),a895),f318(x45122)),x45123)))),x45124))),f316(f316(f32(x45122,f905(x45121,a895)),x45123),f316(f316(f8(f905(x45121,a895),f905(x45121,a895),x45122),f251(x45121)),f316(f7(x45121,x45122,a895),x45124))))
% 163.96/163.64 [4557]E(f316(f316(f144(f904(x45571,a898),x45571),f240(x45571,a898)),f316(f126(f904(x45571,a898),f316(f316(f7(f904(x45571,a898),f905(a898,a895),a895),f316(f316(f8(a898,f905(f905(a898,a895),a895),f904(x45571,a898)),f318(a898)),f245(x45571,a898))),x45572)),f316(f316(f171(x45571,a898),x45573),f129(a898,f316(f291(a898,x45574),f316(f316(f74(a898),x45574),f316(f179(f899(x45571)),x45573))))))),f316(f316(f144(f904(x45571,a898),x45571),f240(x45571,a898)),f316(f126(f904(x45571,a898),f316(f316(f7(f904(x45571,a898),f905(a898,a895),a895),f316(f316(f8(a898,f905(f905(a898,a895),a895),f904(x45571,a898)),f318(a898)),f316(f316(f7(f904(x45571,a898),a898,a898),f316(f316(f8(a898,f905(a898,a898),f904(x45571,a898)),f74(a898)),f245(x45571,a898))),x45574))),x45572)),f316(f316(f171(x45571,a898),x45573),f129(a898,f316(f291(a898,f2(a898)),f316(f179(f899(x45571)),x45573)))))))
% 163.96/163.64 [4558]E(f316(a102,f316(f316(f223(a898),f316(f179(f899(x45581)),x45582)),f316(f132(a898,f899(x45583),f316(f7(f899(x45583),a898,a898),f316(f316(f8(a898,f905(a898,a898),f899(x45583)),f223(a898)),f316(f316(f7(f899(x45583),a898,a898),f316(f316(f8(a898,f905(a898,a898),f899(x45583)),f23(a898)),f179(f899(x45583)))),f316(a102,f2(a898))))),f2(a898)),f316(f158(f899(x45583)),f316(f126(f899(x45583),f316(f316(f8(a895,a895,f899(x45583)),a311),f316(f316(f7(f899(x45583),f899(x45583),a895),a313),f103(x45583)))),x45584))))),f316(f316(f223(a898),f316(a102,f316(f179(f899(x45581)),x45582))),f316(f132(a898,f899(x45583),f316(f7(f899(x45583),a898,a898),f316(f316(f8(a898,f905(a898,a898),f899(x45583)),f223(a898)),f179(f899(x45583)))),f2(a898)),f316(f158(f899(x45583)),x45584))))
% 163.96/163.64 [4511]E(f316(f316(f124(x45111),f166(x45111,x45112,x45113)),f166(x45111,x45114,f316(f251(a898),f316(f316(f7(a898,f905(a898,a895),a895),f316(f316(f8(a898,f905(f905(a898,a895),a895),a898),f318(a898)),f316(f316(f7(a898,a898,a898),f74(a898)),f316(f179(f899(x45111)),x45112)))),x45113)))),f166(x45111,f316(f316(f124(x45111),x45112),x45114),x45113))
% 163.96/163.64 [4559]E(f31(f905(x45591,a895),f316(f251(f905(x45591,a895)),f316(f316(f8(f905(x45592,a895),a895,f905(x45591,a895)),f81(x45592)),f316(f316(f8(f905(x45592,a895),f905(x45592,a895),f905(x45591,a895)),f316(f18(x45592,a895,a895),f316(f316(f8(a895,f905(a895,a895),x45592),a314),f316(f316(f7(x45592,f905(x45592,a895),a895),f318(x45592)),x45593)))),f316(f316(f7(f905(x45591,a895),f905(x45592,f905(x45591,a895)),f905(x45592,a895)),f316(f316(f8(f905(f905(x45591,a895),a895),f905(f905(x45592,f905(x45591,a895)),f905(x45592,a895)),f905(x45591,a895)),f8(f905(x45591,a895),a895,x45592)),a313)),x45594))))),f316(f316(f32(x45592,f905(x45591,a895)),x45593),x45594))
% 163.96/163.64 [4560]E(f30(f905(x45601,a895),f316(f251(f905(x45601,a895)),f316(f316(f8(f905(x45602,a895),a895,f905(x45601,a895)),f81(x45602)),f316(f316(f8(f905(x45602,a895),f905(x45602,a895),f905(x45601,a895)),f316(f18(x45602,a895,a895),f316(f316(f8(a895,f905(a895,a895),x45602),a314),f316(f316(f7(x45602,f905(x45602,a895),a895),f318(x45602)),x45603)))),f316(f316(f7(f905(x45601,a895),f905(x45602,f905(x45601,a895)),f905(x45602,a895)),f316(f316(f8(f905(f905(x45601,a895),a895),f905(f905(x45602,f905(x45601,a895)),f905(x45602,a895)),f905(x45601,a895)),f8(f905(x45601,a895),a895,x45602)),a313)),x45604))))),f316(f316(f33(x45602,f905(x45601,a895)),x45603),x45604))
% 163.96/163.64 [4567]E(f316(f316(f141(f899(x45671)),f316(f316(f141(x45671),x45672),f316(f132(f899(x45671),f899(x45671),f124(x45671),f103(x45671)),f316(f316(f144(f899(x45671),f899(x45671)),f146(f899(x45671),x45671,f103(x45671),f316(f316(f8(f899(x45671),f905(f899(x45671),f899(x45671)),x45671),f16(f899(x45671),f899(x45671))),f316(f316(f7(x45671,f899(x45671),f899(x45671)),f141(x45671)),f103(x45671))))),x45673)))),f169(x45671,f316(f316(f141(f899(x45671)),x45674),f316(f132(f899(f899(x45671)),f899(f899(x45671)),f124(f899(x45671)),f103(f899(x45671))),f316(f316(f144(f899(x45671),f899(f899(x45671))),f146(f899(f899(x45671)),x45671,f103(f899(x45671)),f316(f16(f905(f899(x45671),f899(f899(x45671))),x45671),f316(f316(f7(f899(x45671),f899(f899(x45671)),f899(f899(x45671))),f141(f899(x45671))),f103(f899(x45671)))))),x45673))))),f169(x45671,f316(f316(f141(f899(x45671)),f316(f316(f141(x45671),x45672),x45674)),x45673)))
% 163.96/163.64 [4574]E(f316(f251(f904(x45741,x45741)),f316(f246(x45741,x45741,a895),f316(f316(f7(x45741,f905(f904(x45742,x45742),a895),f905(x45741,a895)),f316(f316(f8(f905(x45741,f905(f905(f904(x45742,x45742),a895),a895)),f905(f905(f904(x45742,x45742),a895),f905(x45741,a895)),x45741),f7(x45741,f905(f904(x45742,x45742),a895),a895)),f316(f316(f8(f905(x45741,f904(x45742,x45742)),f905(x45741,f905(f905(f904(x45742,x45742),a895),a895)),x45741),f316(f8(f904(x45742,x45742),f905(f905(f904(x45742,x45742),a895),a895),x45741),f318(f904(x45742,x45742)))),f316(f316(f7(x45741,f905(x45741,x45742),f905(x45741,f904(x45742,x45742))),f316(f316(f8(f905(x45742,f904(x45742,x45742)),f905(f905(x45741,x45742),f905(x45741,f904(x45742,x45742))),x45741),f8(x45742,f904(x45742,x45742),x45741)),f316(f316(f8(x45742,f905(x45742,f904(x45742,x45742)),x45741),f241(x45742,x45742)),x45743))),x45743)))),x45744))),f316(f316(f277(x45742,x45741),x45744),x45743))
% 163.96/163.64 [3715]E(f316(f316(f144(x37151,x37152),x37153),f159(x37151,x37154,x37155)),f159(x37152,x37154,f316(x37153,x37155)))
% 163.96/163.64 [4045]E(f120(x40451,x40452,x40453,f116(x40451,x40454,x40455)),f116(x40452,f316(x40453,x40454),f120(x40451,x40452,x40453,x40455)))
% 163.96/163.64 [4276]E(f316(f68(x42761,x42762,x42763,x42764,x42765),x42764),x42765)
% 163.96/163.64 [4328]E(f242(x43281,x43282,x43283,f232(x43282,x43281,x43284),f232(x43283,x43282,x43285)),f232(x43283,x43281,f242(x43283,x43282,x43281,x43285,x43284)))
% 163.96/163.64 [3906]E(f316(f316(f246(x39061,x39062,x39063),x39064),x39065),f316(f316(x39064,f316(f240(x39061,x39062),x39065)),f316(f245(x39061,x39062),x39065)))
% 163.96/163.64 [3940]E(f316(f316(f316(f58(x39401,x39402,x39403),x39404),x39405),f178(f905(x39402,a895))),x39405)
% 163.96/163.64 [4216]E(f316(f66(f899(x42161),f899(x42162),f899(x42163),f316(f144(x42161,x42162),x42164)),f316(f144(x42163,x42161),x42165)),f316(f144(x42163,x42162),f316(f66(x42161,x42162,x42163,x42164),x42165)))
% 163.96/163.64 [4290]E(f79(x42901,f59(x42902,x42901,x42903,x42904,x42905)),f316(f316(f57(x42902,x42901,x42903),x42904),x42905))
% 163.96/163.64 [4324]E(f316(f316(f74(a898),f316(f316(f74(a898),f316(x43241,f316(f240(x43242,x43243),x43244))),f316(x43245,f316(f245(x43242,x43243),x43244)))),f316(a102,f2(a898))),f250(x43242,x43243,x43241,x43245,x43244))
% 163.96/163.64 [3843]E(f316(f316(f165(x38431),x38432),f316(f316(f144(x38433,x38431),x38434),x38435)),f316(f316(f144(x38433,x38431),x38434),f316(f316(f165(x38433),x38432),x38435)))
% 163.96/163.64 [3844]E(f316(f316(f128(x38441),x38442),f316(f316(f144(x38443,x38441),x38444),x38445)),f316(f316(f144(x38443,x38441),x38444),f316(f316(f128(x38443),x38442),x38445)))
% 163.96/163.64 [3875]E(f316(f316(f144(x38751,x38752),x38753),f316(f316(f141(x38751),x38754),x38755)),f316(f316(f141(x38752),f316(x38753,x38754)),f316(f316(f144(x38751,x38752),x38753),x38755)))
% 163.96/163.64 [3936]E(f316(f299(x39361,x39362,x39363),f316(f316(f298(x39361),x39364),x39365)),f316(f316(f298(x39362),f316(x39363,x39364)),f316(f299(x39361,x39362,x39363),x39365)))
% 163.96/163.64 [3964]E(f163(x39641,f316(f316(f141(x39641),x39642),x39643),f316(f316(f141(x39641),x39644),x39645)),f316(f316(f141(x39641),x39642),f316(f316(f141(x39641),x39644),f163(x39641,x39643,x39645))))
% 163.96/163.64 [4000]E(f316(f316(f171(x40001,x40002),f316(f316(f165(x40001),x40003),x40004)),f316(f316(f165(x40002),x40003),x40005)),f316(f316(f165(f904(x40001,x40002)),x40003),f316(f316(f171(x40001,x40002),x40004),x40005)))
% 163.96/163.64 [4001]E(f316(f316(f171(x40011,x40012),f316(f316(f128(x40011),x40013),x40014)),f316(f316(f128(x40012),x40013),x40015)),f316(f316(f128(f904(x40011,x40012)),x40013),f316(f316(f171(x40011,x40012),x40014),x40015)))
% 163.96/163.64 [4010]E(f316(f316(f149(x40101,f316(f316(f141(x40101),x40102),x40103)),f316(a102,x40104)),x40105),f316(f316(f141(x40101),x40102),f316(f316(f149(x40101,x40103),x40104),x40105)))
% 163.96/163.64 [4013]E(f316(f316(f124(x40131),f316(f316(f144(x40132,x40131),x40133),x40134)),f316(f316(f144(x40132,x40131),x40133),x40135)),f316(f316(f144(x40132,x40131),x40133),f316(f316(f124(x40132),x40134),x40135)))
% 163.96/163.64 [4017]E(f316(f316(x40171,x40172),f316(f316(f234(x40173,x40174,x40171),x40172),x40175)),f316(f316(f234(x40173,x40174,x40171),x40172),f316(a102,x40175)))
% 163.96/163.64 [4049]E(f153(x40491,x40492,x40493,f316(f316(f141(x40491),x40494),x40495)),f316(f316(f124(x40492),f316(x40493,x40494)),f153(x40491,x40492,x40493,x40495)))
% 163.96/163.64 [4061]E(f316(f316(f278(x40611,x40612,x40613),f316(f275(x40612,x40611),x40614)),f316(f275(x40613,x40612),x40615)),f316(f275(x40613,x40611),f316(f316(f278(x40613,x40612,x40611),x40615),x40614)))
% 163.96/163.64 [4093]E(f316(f316(f316(f173(f899(x40931),f899(x40931)),x40932),f157(x40931)),f316(f316(f144(x40933,x40931),x40934),x40935)),f316(f316(f144(x40933,x40931),x40934),f316(f316(f316(f173(f899(x40933),f899(x40933)),x40932),f157(x40933)),x40935)))
% 163.96/163.64 [4094]E(f316(f316(f248(x40941,x40942,x40941,x40943),f316(f241(x40942,x40941),x40944)),x40945),f316(x40945,x40944))
% 163.96/163.64 [4118]E(f145(x41181,x41182,f316(f316(f144(x41183,x41181),x41184),x41185)),f145(x41183,f316(f66(x41181,a898,x41183,x41182),x41184),x41185))
% 163.96/163.64 [4181]E(f167(f904(x41811,x41812),f316(f66(x41812,a895,f904(x41811,x41812),x41813),f245(x41811,x41812)),f316(f316(f171(x41811,x41812),x41814),x41815)),f316(f316(f171(x41811,x41812),x41814),f167(x41812,x41813,x41815)))
% 163.96/163.64 [4186]E(f316(f299(x41861,x41862,f316(f316(f8(x41863,x41862,x41861),x41864),x41865)),f231(f905(x41861,a895))),f316(f299(x41863,x41862,x41864),f316(f299(x41861,x41863,x41865),f231(f905(x41861,a895)))))
% 163.96/163.64 [4199]E(f167(f904(x41991,x41992),f316(f66(x41991,a895,f904(x41991,x41992),x41993),f240(x41991,x41992)),f316(f316(f171(x41991,x41992),x41994),x41995)),f316(f316(f171(x41991,x41992),f167(x41991,x41993,x41994)),x41995))
% 163.96/163.64 [4220]E(f316(f316(f100(f905(x42201,a895)),f316(f300(x42201,x42202,x42203),f316(f316(f298(x42202),x42204),f178(f905(x42202,a895))))),f316(f300(x42201,x42202,x42203),x42205)),f316(f300(x42201,x42202,x42203),f316(f316(f298(x42202),x42204),x42205)))
% 163.96/163.64 [4275]E(f316(f316(f124(f904(x42751,x42752)),f316(f316(f144(x42752,f904(x42751,x42752)),f316(f241(x42751,x42752),x42753)),x42754)),f52(x42751,x42752,x42755,x42754)),f52(x42751,x42752,f316(f316(f141(x42751),x42753),x42755),x42754))
% 163.96/163.64 [4277]E(f316(f316(f144(x42771,x42772),x42773),f167(x42771,f316(f66(x42772,a895,x42771,x42774),x42773),x42775)),f167(x42772,x42774,f316(f316(f144(x42771,x42772),x42773),x42775)))
% 163.96/163.64 [4282]E(f316(f132(x42821,x42822,f316(f7(x42822,x42821,x42821),f316(f7(x42821,x42822,x42821),x42823)),x42824),f316(f158(x42822),f316(f158(x42822),x42825))),f316(f132(x42821,x42822,x42823,x42824),x42825))
% 163.96/163.64 [4385]P107(f316(f316(f224(f905(x43851,a895)),f316(f274(x43852,x43851,x43853),f316(f316(f91(f905(x43852,a895)),x43854),x43855))),f316(f316(f91(f905(x43851,a895)),f316(f274(x43852,x43851,x43853),x43854)),f316(f274(x43852,x43851,x43853),x43855))))
% 163.96/163.64 [4386]P107(f316(f316(f224(f905(x43861,a895)),f316(f299(x43862,x43861,x43863),f316(f316(f91(f905(x43862,a895)),x43864),x43865))),f316(f316(f91(f905(x43861,a895)),f316(f299(x43862,x43861,x43863),x43864)),f316(f299(x43862,x43861,x43863),x43865))))
% 163.96/163.64 [4485]E(f316(f245(x44851,x44852),f316(f247(x44853,x44851,x44852,x44852,x44854,f25(x44852)),x44855)),f316(f245(x44853,x44852),x44855))
% 163.96/163.64 [4486]E(f316(f240(x44861,x44862),f316(f247(x44861,x44861,x44863,x44862,f25(x44861),x44864),x44865)),f316(f240(x44861,x44863),x44865))
% 163.96/163.64 [3687]E(f316(f316(f316(f316(f194(x36871),x36872),x36873),x36874),x36875),f189(x36871,x36872))
% 163.96/163.64 [3688]E(f316(f316(f316(f316(f195(x36881),x36882),x36883),x36884),x36885),f182(x36881,x36882))
% 163.96/163.64 [4050]E(f316(f316(f32(x40501,f905(x40502,a895)),f316(f316(f298(x40501),x40503),x40504)),x40505),f316(f316(f91(f905(x40502,a895)),f316(x40505,x40503)),f316(f316(f32(x40501,f905(x40502,a895)),x40504),x40505)))
% 163.96/163.64 [4051]E(f316(f316(f33(x40511,f905(x40512,a895)),f316(f316(f298(x40511),x40513),x40514)),x40515),f316(f316(f100(f905(x40512,a895)),f316(x40515,x40513)),f316(f316(f33(x40511,f905(x40512,a895)),x40514),x40515)))
% 163.96/163.64 [4101]E(f316(f108(x41011,x41012,f316(x41013,x41014)),f316(f316(f7(x41011,a89,f900(x41012)),x41015),x41014)),f316(f187(x41011,x41012,x41013,x41015),x41014))
% 163.96/163.64 [4112]E(f316(f316(f100(f905(x41121,a895)),f316(f274(x41122,x41121,x41123),x41124)),f316(f274(x41122,x41121,x41123),x41125)),f316(f274(x41122,x41121,x41123),f316(f316(f100(f905(x41122,a895)),x41124),x41125)))
% 163.96/163.64 [4113]E(f316(f316(f23(f905(x41131,a895)),f316(f300(x41131,x41132,x41133),x41134)),f316(f300(x41131,x41132,x41133),x41135)),f316(f300(x41131,x41132,x41133),f316(f316(f23(f905(x41132,a895)),x41134),x41135)))
% 163.96/163.64 [4114]E(f316(f316(f100(f905(x41141,a895)),f316(f300(x41141,x41142,x41143),x41144)),f316(f300(x41141,x41142,x41143),x41145)),f316(f300(x41141,x41142,x41143),f316(f316(f100(f905(x41142,a895)),x41144),x41145)))
% 163.96/163.64 [4115]E(f316(f316(f91(f905(x41151,a895)),f316(f300(x41151,x41152,x41153),x41154)),f316(f300(x41151,x41152,x41153),x41155)),f316(f300(x41151,x41152,x41153),f316(f316(f91(f905(x41152,a895)),x41154),x41155)))
% 163.96/163.64 [4116]E(f316(f316(f100(f905(x41161,a895)),f316(f299(x41162,x41161,x41163),x41164)),f316(f299(x41162,x41161,x41163),x41165)),f316(f299(x41162,x41161,x41163),f316(f316(f100(f905(x41162,a895)),x41164),x41165)))
% 163.96/163.64 [4177]E(f316(f316(f149(x41771,f316(f316(f124(x41771),x41772),f316(f316(f141(x41771),x41773),x41774))),f316(f179(f899(x41771)),x41772)),x41775),f316(f316(f124(x41771),x41772),f316(f316(f141(x41771),x41775),x41774)))
% 163.96/163.64 [4184]E(f316(f316(f32(x41841,f905(x41842,a895)),x41843),f316(f316(f8(f905(x41842,a895),f905(x41842,a895),x41841),f316(f298(x41842),x41844)),x41845)),f316(f316(f298(x41842),x41844),f316(f316(f32(x41841,f905(x41842,a895)),x41843),x41845)))
% 163.96/163.64 [4337]E(f316(f316(f144(x43371,x43372),x43373),f316(f126(x43371,f316(f66(x43372,a895,x43371,x43374),x43373)),x43375)),f316(f126(x43372,x43374),f316(f316(f144(x43371,x43372),x43373),x43375)))
% 163.96/163.64 [4343]E(f316(f179(f899(x43431)),f316(f126(x43431,x43432),f316(f316(f144(x43433,x43431),x43434),x43435))),f316(f179(f899(x43433)),f316(f126(x43433,f316(f66(x43431,a895,x43433,x43432),x43434)),x43435)))
% 163.96/163.64 [4550]E(f316(f146(f899(f904(x45501,x45502)),x45502,f103(f904(x45501,x45502)),f316(f316(f7(x45502,f905(f899(x45502),f899(f904(x45501,x45502))),f905(f899(x45502),f899(f904(x45501,x45502)))),f316(f316(f8(f905(f899(f904(x45501,x45502)),f899(f904(x45501,x45502))),f905(f905(f899(x45502),f899(f904(x45501,x45502))),f905(f899(x45502),f899(f904(x45501,x45502)))),x45502),f8(f899(f904(x45501,x45502)),f899(f904(x45501,x45502)),f899(x45502))),f316(f316(f8(f904(x45501,x45502),f905(f899(f904(x45501,x45502)),f899(f904(x45501,x45502))),x45502),f141(f904(x45501,x45502))),f316(f241(x45501,x45502),x45503)))),f316(f171(x45501,x45502),x45504))),x45505),f316(f316(f171(x45501,x45502),f316(f316(f141(x45501),x45503),x45504)),x45505))
% 163.96/163.64 [4042]E(f316(f316(f149(x40421,f316(f316(f149(x40421,x40422),x40423),x40424)),x40423),x40425),f316(f316(f149(x40421,x40422),x40423),x40425))
% 163.96/163.64 [4095]E(f316(f273(x40951,x40952),f316(f316(f298(f904(x40951,x40952)),f316(f316(f241(x40951,x40952),x40953),x40954)),x40955)),f316(f316(f298(x40952),x40954),f316(f273(x40951,x40952),x40955)))
% 163.96/163.64 [4096]E(f316(f253(x40961,x40962),f316(f316(f298(f904(x40961,x40962)),f316(f316(f241(x40961,x40962),x40963),x40964)),x40965)),f316(f316(f298(x40961),x40963),f316(f253(x40961,x40962),x40965)))
% 163.96/163.64 [4142]E(f112(x41421,x41422,f316(x41423,x41424),f316(f316(f7(x41421,a89,f900(f902(x41422))),x41425),x41424)),f316(f185(x41421,x41422,x41423,x41425),x41424))
% 163.96/163.64 [4170]E(f316(f316(f23(f905(f904(x41701,x41702),a895)),f316(f316(f243(x41701,x41702),x41703),x41704)),f316(f316(f243(x41701,x41702),x41705),x41704)),f316(f316(f243(x41701,x41702),f316(f316(f23(f905(x41701,a895)),x41703),x41705)),x41704))
% 163.96/163.64 [4171]E(f316(f316(f100(f905(f904(x41711,x41712),a895)),f316(f316(f243(x41711,x41712),x41713),x41714)),f316(f316(f243(x41711,x41712),x41715),x41714)),f316(f316(f243(x41711,x41712),f316(f316(f100(f905(x41711,a895)),x41713),x41715)),x41714))
% 163.96/163.64 [4172]E(f316(f316(f91(f905(f904(x41721,x41722),a895)),f316(f316(f243(x41721,x41722),x41723),x41724)),f316(f316(f243(x41721,x41722),x41725),x41724)),f316(f316(f243(x41721,x41722),f316(f316(f91(f905(x41721,a895)),x41723),x41725)),x41724))
% 163.96/163.64 [4231]E(f316(f316(f91(f905(x42311,a895)),f316(f316(f32(x42312,f905(x42311,a895)),x42313),x42314)),f316(f316(f32(x42312,f905(x42311,a895)),x42315),x42314)),f316(f316(f32(x42312,f905(x42311,a895)),f316(f316(f100(f905(x42312,a895)),x42313),x42315)),x42314))
% 163.96/163.64 [4232]E(f316(f316(f100(f905(x42321,a895)),f316(f316(f33(x42322,f905(x42321,a895)),x42323),x42324)),f316(f316(f33(x42322,f905(x42321,a895)),x42325),x42324)),f316(f316(f33(x42322,f905(x42321,a895)),f316(f316(f100(f905(x42322,a895)),x42323),x42325)),x42324))
% 163.96/163.64 [4246]E(f316(f316(f32(x42461,f905(x42462,a895)),x42463),f316(f316(f8(f905(x42462,a895),f905(x42462,a895),x42461),f316(f100(f905(x42462,a895)),x42464)),x42465)),f316(f316(f100(f905(x42462,a895)),x42464),f316(f316(f32(x42461,f905(x42462,a895)),x42463),x42465)))
% 163.96/163.64 [4247]E(f316(f316(f33(x42471,f905(x42472,a895)),x42473),f316(f316(f8(f905(x42472,a895),f905(x42472,a895),x42471),f316(f23(f905(x42472,a895)),x42474)),x42475)),f316(f316(f23(f905(x42472,a895)),x42474),f316(f316(f32(x42471,f905(x42472,a895)),x42473),x42475)))
% 163.96/163.64 [4248]E(f316(f316(f33(x42481,f905(x42482,a895)),x42483),f316(f316(f8(f905(x42482,a895),f905(x42482,a895),x42481),f316(f91(f905(x42482,a895)),x42484)),x42485)),f316(f316(f91(f905(x42482,a895)),x42484),f316(f316(f33(x42481,f905(x42482,a895)),x42483),x42485)))
% 163.96/163.64 [4302]E(f175(f899(x43021),f316(f316(f141(x43021),x43022),x43023),f316(f316(f8(f899(x43021),f899(x43021),a898),f316(f141(x43021),x43024)),f316(f316(f7(a898,x43021,f899(x43021)),f149(x43021,x43023)),x43022)),x43025),f316(f316(f149(x43021,f316(f316(f141(x43021),x43024),x43023)),x43025),x43022))
% 163.96/163.64 [4306]E(f316(f316(f32(x43061,f905(f904(x43062,x43063),a895)),x43064),f316(f316(f8(f905(f904(x43063,x43062),a895),f905(f904(x43062,x43063),a895),x43061),f275(x43063,x43062)),x43065)),f316(f275(x43063,x43062),f316(f316(f32(x43061,f905(f904(x43063,x43062),a895)),x43064),x43065)))
% 163.96/163.64 [4307]E(f316(f316(f33(x43071,f905(f904(x43072,x43073),a895)),x43074),f316(f316(f8(f905(f904(x43073,x43072),a895),f905(f904(x43072,x43073),a895),x43071),f275(x43073,x43072)),x43075)),f316(f275(x43073,x43072),f316(f316(f33(x43071,f905(f904(x43073,x43072),a895)),x43074),x43075)))
% 163.96/163.64 [4408]P107(f316(f316(f224(f905(x44081,a895)),f316(f316(f23(f905(x44081,a895)),f316(f299(x44082,x44081,x44083),x44084)),f316(f299(x44082,x44081,x44083),x44085))),f316(f299(x44082,x44081,x44083),f316(f316(f23(f905(x44082,a895)),x44084),x44085))))
% 163.96/163.64 [4553]E(f316(f146(f899(f904(x45531,x45532)),x45531,f103(f904(x45531,x45532)),f316(f316(f7(x45531,f905(f899(x45531),f899(f904(x45531,x45532))),f905(f899(x45531),f899(f904(x45531,x45532)))),f316(f316(f8(f905(f899(f904(x45531,x45532)),f899(f904(x45531,x45532))),f905(f905(f899(x45531),f899(f904(x45531,x45532))),f905(f899(x45531),f899(f904(x45531,x45532)))),x45531),f8(f899(f904(x45531,x45532)),f899(f904(x45531,x45532)),f899(x45531))),f316(f316(f8(f904(x45531,x45532),f905(f899(f904(x45531,x45532)),f899(f904(x45531,x45532))),x45531),f141(f904(x45531,x45532))),f316(f316(f7(x45531,x45532,f904(x45531,x45532)),f241(x45531,x45532)),x45533)))),f316(f316(f7(f899(x45531),f899(x45532),f899(f904(x45531,x45532))),f171(x45531,x45532)),x45534))),x45535),f316(f316(f171(x45531,x45532),x45535),f316(f316(f141(x45532),x45533),x45534)))
% 163.96/163.64 [4271]E(f316(f316(f100(f905(x42711,a895)),f316(f274(x42712,x42711,x42713),x42714)),f316(f274(x42712,x42711,x42715),x42714)),f316(f274(x42712,x42711,f316(f316(f100(f905(f904(x42712,x42711),a895)),x42713),x42715)),x42714))
% 163.96/163.64 [4308]E(f316(f316(f124(f904(x43081,x43082)),f316(f316(f171(x43081,x43082),x43083),f316(f316(f165(x43082),f316(f179(f899(x43081)),x43083)),x43084))),f316(f316(f171(x43081,x43082),x43085),f316(f316(f128(x43082),f316(f179(f899(x43081)),x43083)),x43084))),f316(f316(f171(x43081,x43082),f316(f316(f124(x43081),x43083),x43085)),x43084))
% 163.96/163.64 [4411]E(f316(f316(f243(x44111,x44112),x44113),f316(f316(f18(x44111,f905(x44112,a895),f905(x44112,a895)),f316(f316(f8(f905(x44112,a895),f905(f905(x44112,a895),f905(x44112,a895)),x44111),f23(f905(x44112,a895))),x44114)),x44115)),f316(f316(f23(f905(f904(x44111,x44112),a895)),f316(f316(f243(x44111,x44112),x44113),x44114)),f316(f316(f243(x44111,x44112),x44113),x44115)))
% 163.96/163.64 [4412]E(f316(f316(f243(x44121,x44122),x44123),f316(f316(f18(x44121,f905(x44122,a895),f905(x44122,a895)),f316(f316(f8(f905(x44122,a895),f905(f905(x44122,a895),f905(x44122,a895)),x44121),f100(f905(x44122,a895))),x44124)),x44125)),f316(f316(f100(f905(f904(x44121,x44122),a895)),f316(f316(f243(x44121,x44122),x44123),x44124)),f316(f316(f243(x44121,x44122),x44123),x44125)))
% 163.96/163.64 [4413]E(f316(f316(f243(x44131,x44132),x44133),f316(f316(f18(x44131,f905(x44132,a895),f905(x44132,a895)),f316(f316(f8(f905(x44132,a895),f905(f905(x44132,a895),f905(x44132,a895)),x44131),f91(f905(x44132,a895))),x44134)),x44135)),f316(f316(f91(f905(f904(x44131,x44132),a895)),f316(f316(f243(x44131,x44132),x44133),x44134)),f316(f316(f243(x44131,x44132),x44133),x44135)))
% 163.96/163.64 [4417]E(f316(f316(f32(x44171,f905(x44172,a895)),x44173),f316(f316(f7(x44171,f905(x44172,a895),f905(x44172,a895)),f316(f316(f8(f905(x44172,a895),f905(f905(x44172,a895),f905(x44172,a895)),x44171),f100(f905(x44172,a895))),x44174)),x44175)),f316(f316(f100(f905(x44172,a895)),f316(f316(f32(x44171,f905(x44172,a895)),x44173),x44174)),x44175))
% 163.96/163.64 [4418]E(f316(f316(f33(x44181,f905(x44182,a895)),x44183),f316(f316(f7(x44181,f905(x44182,a895),f905(x44182,a895)),f316(f316(f8(f905(x44182,a895),f905(f905(x44182,a895),f905(x44182,a895)),x44181),f23(f905(x44182,a895))),x44184)),x44185)),f316(f316(f23(f905(x44182,a895)),f316(f316(f33(x44181,f905(x44182,a895)),x44183),x44184)),x44185))
% 163.96/163.64 [4419]E(f316(f316(f33(x44191,f905(x44192,a895)),x44193),f316(f316(f7(x44191,f905(x44192,a895),f905(x44192,a895)),f316(f316(f8(f905(x44192,a895),f905(f905(x44192,a895),f905(x44192,a895)),x44191),f91(f905(x44192,a895))),x44194)),x44195)),f316(f316(f91(f905(x44192,a895)),f316(f316(f33(x44191,f905(x44192,a895)),x44193),x44194)),x44195))
% 163.96/163.64 [4423]E(f316(f316(f32(x44231,f905(x44232,a895)),x44233),f316(f316(f18(x44231,f905(x44232,a895),f905(x44232,a895)),f316(f316(f8(f905(x44232,a895),f905(f905(x44232,a895),f905(x44232,a895)),x44231),f91(f905(x44232,a895))),x44234)),x44235)),f316(f316(f91(f905(x44232,a895)),f316(f316(f32(x44231,f905(x44232,a895)),x44233),x44234)),f316(f316(f32(x44231,f905(x44232,a895)),x44233),x44235)))
% 163.96/163.64 [4424]E(f316(f316(f33(x44241,f905(x44242,a895)),x44243),f316(f316(f18(x44241,f905(x44242,a895),f905(x44242,a895)),f316(f316(f8(f905(x44242,a895),f905(f905(x44242,a895),f905(x44242,a895)),x44241),f100(f905(x44242,a895))),x44244)),x44245)),f316(f316(f100(f905(x44242,a895)),f316(f316(f33(x44241,f905(x44242,a895)),x44243),x44244)),f316(f316(f33(x44241,f905(x44242,a895)),x44243),x44245)))
% 163.96/163.64 [4437]E(f316(f316(f32(x44371,f905(x44372,a895)),x44373),f316(f316(f18(x44371,f905(x44372,a895),f905(x44372,a895)),f316(f316(f8(f905(x44372,a895),f905(f905(x44372,a895),f905(x44372,a895)),x44371),f91(f905(x44372,a895))),x44374)),x44375)),f316(f316(f91(f905(x44372,a895)),f31(f905(x44372,a895),f316(f299(x44371,f905(x44372,a895),x44374),x44373))),f31(f905(x44372,a895),f316(f299(x44371,f905(x44372,a895),x44375),x44373))))
% 163.96/163.64 [4438]E(f316(f316(f33(x44381,f905(x44382,a895)),x44383),f316(f316(f18(x44381,f905(x44382,a895),f905(x44382,a895)),f316(f316(f8(f905(x44382,a895),f905(f905(x44382,a895),f905(x44382,a895)),x44381),f100(f905(x44382,a895))),x44384)),x44385)),f316(f316(f100(f905(x44382,a895)),f30(f905(x44382,a895),f316(f299(x44381,f905(x44382,a895),x44384),x44383))),f30(f905(x44382,a895),f316(f299(x44381,f905(x44382,a895),x44385),x44383))))
% 163.96/163.64 [4474]E(f316(f316(f128(x44741),f316(f179(f899(x44741)),f167(x44741,x44742,f316(f316(f144(x44743,x44741),x44744),x44745)))),f316(f316(f144(x44743,x44741),x44744),x44745)),f316(f316(f144(x44743,x44741),x44744),f316(f316(f128(x44743),f316(f179(f899(x44743)),f167(x44743,f316(f66(x44741,a895,x44743,x44742),x44744),x44745))),x44745)))
% 163.96/163.64 [4350]E(f316(f316(f124(f904(x43501,x43502)),f316(f316(f171(x43501,x43502),f316(f316(f165(x43501),f316(f179(f899(x43502)),x43503)),x43504)),x43503)),f316(f316(f171(x43501,x43502),f316(f316(f128(x43501),f316(f179(f899(x43502)),x43503)),x43504)),x43505)),f316(f316(f171(x43501,x43502),x43504),f316(f316(f124(x43502),x43503),x43505)))
% 163.96/163.64 [4465]E(f79(x44651,f316(f316(f18(x44651,a895,a895),f316(f316(f8(a895,f905(a895,a895),x44651),a314),f316(f316(f7(x44651,f905(x44651,a895),a895),f318(x44651)),x44652))),f316(f316(f7(x44651,x44653,a895),f316(f316(f8(x44653,f905(x44653,a895),x44651),a313),x44654)),x44655))),f316(f71(x44651,x44653,x44652,x44654),x44655))
% 163.96/163.64 [4466]E(f84(x44661,f316(f316(f18(x44661,a895,a895),f316(f316(f8(a895,f905(a895,a895),x44661),a314),f316(f316(f7(x44661,f905(x44661,a895),a895),f318(x44661)),x44662))),f316(f316(f7(x44661,x44663,a895),f316(f316(f8(x44663,f905(x44663,a895),x44661),a313),x44664)),x44665))),f316(f85(x44661,x44663,x44662,x44664),x44665))
% 163.96/163.64 [4514]E(f316(f316(f80(a1,x45141),f316(f93(a1),f316(f316(f74(a1),x45142),a87))),f316(f316(f18(a1,x45141,x45141),f316(f316(f7(a1,x45141,f905(x45141,x45141)),f316(f316(f8(a895,f905(x45141,f905(x45141,x45141)),a1),f86(x45141)),a183)),f175(x45141,x45143,x45144,x45145))),f316(f316(f8(a898,x45141,a1),x45144),f316(f316(f7(a1,a898,a898),f316(f316(f8(a898,f905(a898,a898),a1),f74(a898)),a94)),x45145)))),f175(x45141,x45143,x45144,f316(f316(f74(a898),f316(f93(a898),x45142)),x45145)))
% 163.96/163.64 [4549]E(f316(f316(f80(a1,x45491),f316(f93(a1),f316(f316(f74(a1),x45492),a87))),f316(f316(f18(a1,x45491,x45491),f316(f316(f7(a1,x45491,f905(x45491,x45491)),f316(f316(f8(a895,f905(x45491,f905(x45491,x45491)),a1),f86(x45491)),a183)),f316(f174(x45491,x45493,x45494),x45495))),f316(f316(f18(a1,x45491,x45491),f316(f316(f8(a898,f905(x45491,x45491),a1),x45494),f316(f316(f7(a1,a898,a898),f316(f316(f8(a898,f905(a898,a898),a1),f74(a898)),a94)),x45495))),f316(f316(f8(a898,x45491,a1),f174(x45491,x45493,x45494)),f316(f316(f7(a1,a898,a898),f316(f316(f8(a898,f905(a898,a898),a1),f74(a898)),a94)),x45495))))),f316(f174(x45491,x45493,x45494),f316(f316(f74(a898),f316(f93(a898),x45492)),x45495)))
% 163.96/163.64 [4582]E(f316(f251(f904(x45821,x45822)),f316(f246(x45821,x45822,a895),f316(f316(f8(f905(x45822,f905(x45823,a895)),f905(x45822,a895),x45821),f316(f8(f905(x45823,a895),a895,x45822),f81(x45823))),f316(f316(f7(x45821,f905(x45822,f905(x45823,a895)),f905(x45822,f905(x45823,a895))),f316(f316(f8(f905(f905(x45823,a895),f905(x45823,a895)),f905(f905(x45822,f905(x45823,a895)),f905(x45822,f905(x45823,a895))),x45821),f8(f905(x45823,a895),f905(x45823,a895),x45822)),f316(f316(f8(f905(x45823,f905(a895,a895)),f905(f905(x45823,a895),f905(x45823,a895)),x45821),f18(x45823,a895,a895)),f316(f316(f8(f905(x45823,a895),f905(x45823,f905(a895,a895)),x45821),f316(f8(a895,f905(a895,a895),x45823),a314)),f316(f316(f7(x45821,f905(f904(x45821,x45823),a895),f905(x45823,a895)),f316(f316(f8(f905(x45823,f905(f905(f904(x45821,x45823),a895),a895)),f905(f905(f904(x45821,x45823),a895),f905(x45823,a895)),x45821),f7(x45823,f905(f904(x45821,x45823),a895),a895)),f316(f316(f8(f905(x45823,f904(x45821,x45823)),f905(x45823,f905(f905(f904(x45821,x45823),a895),a895)),x45821),f316(f8(f904(x45821,x45823),f905(f905(f904(x45821,x45823),a895),a895),x45823),f318(f904(x45821,x45823)))),f241(x45821,x45823)))),x45824))))),f316(f316(f7(x45822,f905(f904(x45823,x45822),a895),f905(x45823,a895)),f316(f316(f8(f905(x45823,f905(f905(f904(x45823,x45822),a895),a895)),f905(f905(f904(x45823,x45822),a895),f905(x45823,a895)),x45822),f7(x45823,f905(f904(x45823,x45822),a895),a895)),f316(f316(f8(f905(x45823,f904(x45823,x45822)),f905(x45823,f905(f905(f904(x45823,x45822),a895),a895)),x45822),f316(f8(f904(x45823,x45822),f905(f905(f904(x45823,x45822),a895),a895),x45823),f318(f904(x45823,x45822)))),f316(f7(x45823,x45822,f904(x45823,x45822)),f241(x45823,x45822))))),x45825))))),f316(f316(f278(x45821,x45823,x45822),x45824),x45825))
% 163.96/163.64 [4200]E(f214(x42001,x42002,x42003,x42004,f210(x42001,x42002,x42005,x42006)),f316(f316(x42004,x42005),x42006))
% 163.96/163.64 [4201]E(f215(x42011,x42012,x42013,x42014,f210(x42011,x42012,x42015,x42016)),f316(f316(x42014,x42015),x42016))
% 163.96/163.64 [4326]E(f117(x43261,x43262,x43263,x43264,f116(x43262,x43265,x43266)),f316(f316(f316(x43264,x43265),x43266),f117(x43261,x43262,x43263,x43264,x43266)))
% 163.96/163.64 [4345]E(f68(x43451,x43452,f68(x43451,x43452,x43453,x43454,x43455),x43454,x43456),f68(x43451,x43452,x43453,x43454,x43456))
% 163.96/163.64 [4453]E(f316(f66(f904(x44531,x44532),x44532,f904(x44533,x44534),f245(x44531,x44532)),f247(x44533,x44531,x44534,x44532,x44535,x44536)),f316(f66(x44534,x44532,f904(x44533,x44534),x44536),f245(x44533,x44534)))
% 163.96/163.64 [4454]E(f316(f66(f904(x44541,x44542),x44541,f904(x44543,x44544),f240(x44541,x44542)),f247(x44543,x44541,x44544,x44542,x44545,x44546)),f316(f66(x44543,x44541,f904(x44543,x44544),x44545),f240(x44543,x44544)))
% 163.96/163.64 [4071]E(f316(f316(f66(x40711,x40712,x40713,x40714),x40715),x40716),f316(x40714,f316(x40715,x40716)))
% 163.96/163.64 [4210]E(f213(x42101,f904(x42102,f900(x42102)),x42103,f316(f246(x42102,f900(x42102),x42101),x42104),f316(f125(x42102),f116(x42102,x42105,x42106))),f316(f316(x42104,x42105),x42106))
% 163.96/163.64 [4260]E(f216(x42601,x42602,x42603,x42604,f210(x42601,x42602,x42605,x42606)),f316(f316(f74(a898),f316(f316(f74(a898),f316(x42603,x42605)),f316(x42604,x42606))),f316(a102,f2(a898))))
% 163.96/163.64 [3873]E(f316(f316(f246(x38731,x38732,x38733),x38734),f316(f316(f241(x38731,x38732),x38735),x38736)),f316(f316(x38734,x38735),x38736))
% 163.96/163.64 [3933]E(f316(f316(f316(f8(x39331,x39332,x39333),x39334),x39335),x39336),f316(x39334,f316(x39335,x39336)))
% 163.96/163.64 [3934]E(f316(f316(f316(f7(x39341,x39342,x39343),x39344),x39345),x39346),f316(f316(x39344,x39346),x39345))
% 163.96/163.64 [3950]E(f316(f316(f316(f18(x39501,x39502,x39503),x39504),x39505),x39506),f316(f316(x39504,x39506),f316(x39505,x39506)))
% 163.96/163.64 [3973]E(f316(f146(x39731,x39732,x39733,x39734),f316(f316(f141(x39732),x39735),x39736)),f316(f316(x39734,x39735),x39736))
% 163.96/163.64 [4009]E(f159(f904(x40091,x40092),f316(f316(f222(a898),x40093),x40094),f316(f316(f241(x40091,x40092),x40095),x40096)),f316(f316(f171(x40091,x40092),f159(x40091,x40093,x40095)),f159(x40092,x40094,x40096)))
% 163.96/163.64 [4075]E(f316(f316(f141(f904(x40751,x40752)),f316(f316(f241(x40751,x40752),x40753),x40754)),f316(f316(f171(x40751,x40752),x40755),x40756)),f316(f316(f171(x40751,x40752),f316(f316(f141(x40751),x40753),x40755)),f316(f316(f141(x40752),x40754),x40756)))
% 163.96/163.64 [4076]E(f316(f316(f144(x40761,x40762),x40763),f316(f316(f149(x40761,x40764),x40765),x40766)),f316(f316(f149(x40762,f316(f316(f144(x40761,x40762),x40763),x40764)),x40765),f316(x40763,x40766)))
% 163.96/163.64 [4100]E(f316(f316(f244(x41001,x41002,x41003,x41004),x41005),x41006),f316(x41004,f316(f316(f241(x41001,x41002),x41005),x41006)))
% 163.96/163.64 [4117]E(f316(f132(x41171,x41172,x41173,x41174),f316(f316(f141(x41172),x41175),x41176)),f316(f132(x41171,x41172,x41173,f316(f316(x41173,x41174),x41175)),x41176))
% 163.96/163.64 [4143]E(f249(x41431,x41432,x41433,x41434,f316(f316(f241(x41431,x41432),x41435),x41436)),f316(f316(x41434,x41435),x41436))
% 163.96/163.64 [4224]E(f316(f316(f33(x42241,f905(x42242,a895)),x42243),f316(f66(x42244,f905(x42242,a895),x42241,x42245),x42246)),f316(f316(f33(x42244,f905(x42242,a895)),f316(f299(x42241,x42244,x42246),x42243)),x42245))
% 163.96/163.64 [4274]E(f316(f316(f144(x42741,x42742),x42743),f316(f316(f144(x42744,x42741),x42745),x42746)),f316(f316(f144(x42744,x42742),f316(f66(x42741,x42742,x42744,x42743),x42745)),x42746))
% 163.96/163.64 [4280]E(f316(f300(x42801,x42802,f316(f66(x42803,x42802,x42801,x42804),x42805)),x42806),f316(f300(x42801,x42803,x42805),f316(f300(x42803,x42802,x42804),x42806)))
% 163.96/163.64 [4281]E(f316(f299(x42811,x42812,f316(f66(x42813,x42812,x42811,x42814),x42815)),x42816),f316(f299(x42813,x42812,x42814),f316(f299(x42811,x42813,x42815),x42816)))
% 163.96/163.64 [4309]E(f316(f132(x43091,x43092,x43093,f316(f132(x43091,x43092,x43093,x43094),x43095)),x43096),f316(f132(x43091,x43092,x43093,x43094),f316(f316(f124(x43092),x43095),x43096)))
% 163.96/163.64 [4443]E(f316(f247(x44431,x44431,x44432,x44433,f25(x44431),x44434),f316(f316(f241(x44431,x44432),x44435),x44436)),f316(f316(f241(x44431,x44433),x44435),f316(x44434,x44436)))
% 163.96/163.64 [4444]E(f316(f247(x44441,x44442,x44443,x44443,x44444,f25(x44443)),f316(f316(f241(x44441,x44443),x44445),x44446)),f316(f316(f241(x44442,x44443),f316(x44444,x44445)),x44446))
% 163.96/163.64 [4532]E(f316(f316(f144(f904(x45321,x45322),f904(x45321,x45323)),f316(f246(x45321,x45322,f904(x45321,x45323)),f316(f316(f7(x45321,f905(x45322,x45323),f905(x45322,f904(x45321,x45323))),f316(f316(f8(f905(x45323,f904(x45321,x45323)),f905(f905(x45322,x45323),f905(x45322,f904(x45321,x45323))),x45321),f8(x45323,f904(x45321,x45323),x45322)),f241(x45321,x45323))),x45324))),f316(f316(f171(x45321,x45322),x45325),x45326)),f316(f316(f171(x45321,x45323),x45325),f316(f316(f144(x45322,x45323),x45324),x45326)))
% 163.96/163.64 [4127]E(f316(f316(f66(x41271,x41272,x41273,f316(f16(x41272,x41271),x41274)),x41275),x41276),x41274)
% 163.96/163.64 [4159]E(f316(f299(x41591,x41592,x41593),f316(f299(x41594,x41591,x41595),x41596)),f316(f299(x41594,x41592,f316(f316(f8(x41591,x41592,x41594),x41593),x41595)),x41596))
% 163.96/163.64 [4165]E(f316(f316(f32(x41651,f905(x41652,a895)),f316(f299(x41653,x41651,x41654),x41655)),x41656),f316(f316(f32(x41653,f905(x41652,a895)),x41655),f316(f316(f8(x41651,f905(x41652,a895),x41653),x41656),x41654)))
% 163.96/163.64 [4166]E(f316(f316(f33(x41661,f905(x41662,a895)),f316(f299(x41663,x41661,x41664),x41665)),x41666),f316(f316(f33(x41663,f905(x41662,a895)),x41665),f316(f316(f8(x41661,f905(x41662,a895),x41663),x41666),x41664)))
% 163.96/163.64 [4167]E(f316(f316(f32(x41671,f905(x41672,a895)),x41673),f316(f316(f8(x41674,f905(x41672,a895),x41671),x41675),x41676)),f316(f316(f32(x41674,f905(x41672,a895)),f316(f299(x41671,x41674,x41676),x41673)),x41675))
% 163.96/163.64 [4168]E(f316(f316(f33(x41681,f905(x41682,a895)),x41683),f316(f316(f8(x41684,f905(x41682,a895),x41681),x41685),x41686)),f316(f316(f33(x41684,f905(x41682,a895)),f316(f299(x41681,x41684,x41686),x41683)),x41685))
% 163.96/163.64 [4226]E(f316(f316(f33(x42261,f905(x42262,a895)),x42263),f316(f316(f8(f905(x42264,a895),f905(x42262,a895),x42261),f274(x42264,x42262,x42265)),x42266)),f316(f274(x42264,x42262,x42265),f316(f316(f33(x42261,f905(x42264,a895)),x42263),x42266)))
% 163.96/163.64 [4227]E(f316(f316(f32(x42271,f905(x42272,a895)),x42273),f316(f316(f8(f905(x42274,a895),f905(x42272,a895),x42271),f300(x42272,x42274,x42275)),x42276)),f316(f300(x42272,x42274,x42275),f316(f316(f32(x42271,f905(x42274,a895)),x42273),x42276)))
% 163.96/163.64 [4228]E(f316(f316(f33(x42281,f905(x42282,a895)),x42283),f316(f316(f8(f905(x42284,a895),f905(x42282,a895),x42281),f300(x42282,x42284,x42285)),x42286)),f316(f300(x42282,x42284,x42285),f316(f316(f33(x42281,f905(x42284,a895)),x42283),x42286)))
% 163.96/163.64 [4229]E(f316(f316(f33(x42291,f905(x42292,a895)),x42293),f316(f316(f8(f905(x42294,a895),f905(x42292,a895),x42291),f299(x42294,x42292,x42295)),x42296)),f316(f299(x42294,x42292,x42295),f316(f316(f33(x42291,f905(x42294,a895)),x42293),x42296)))
% 163.96/163.64 [4314]E(f316(f132(x43141,x43142,f316(f7(x43142,x43141,x43141),x43143),x43144),f316(f158(x43142),f316(f316(f141(x43142),x43145),x43146))),f316(f316(x43143,x43145),f316(f132(x43141,x43142,f316(f7(x43142,x43141,x43141),x43143),x43144),f316(f158(x43142),x43146))))
% 163.96/163.64 [4372]E(f316(f316(f18(f904(x43721,x43722),x43722,x43723),f316(f316(f8(x43724,f905(x43722,x43723),f904(x43721,x43722)),x43725),f316(f316(f8(x43721,x43724,f904(x43721,x43722)),x43726),f240(x43721,x43722)))),f245(x43721,x43722)),f316(f246(x43721,x43722,x43723),f316(f316(f8(x43724,f905(x43722,x43723),x43721),x43725),x43726)))
% 163.96/163.64 [4379]E(f316(f132(x43791,x43792,f316(f7(x43792,x43791,x43791),x43793),f316(f132(x43791,x43792,f316(f7(x43792,x43791,x43791),x43793),x43794),f316(f158(x43792),x43795))),f316(f158(x43792),x43796)),f316(f132(x43791,x43792,f316(f7(x43792,x43791,x43791),x43793),x43794),f316(f158(x43792),f316(f316(f124(x43792),x43796),x43795))))
% 163.96/163.64 [4381]E(f316(f316(f144(f904(x43811,x43812),f904(x43813,x43812)),f316(f246(x43811,x43812,f904(x43813,x43812)),f316(f316(f8(x43813,f905(x43812,f904(x43813,x43812)),x43811),f241(x43813,x43812)),x43814))),f316(f316(f171(x43811,x43812),x43815),x43816)),f316(f316(f171(x43813,x43812),f316(f316(f144(x43811,x43813),x43814),x43815)),x43816))
% 163.96/163.64 [4426]P107(f316(f316(f224(f905(x44261,a895)),f316(f274(x44262,x44261,x44263),f316(f316(f32(x44264,f905(x44262,a895)),x44265),x44266))),f316(f316(f32(x44264,f905(x44261,a895)),x44265),f316(f316(f8(f905(x44262,a895),f905(x44261,a895),x44264),f274(x44262,x44261,x44263)),x44266))))
% 163.96/163.64 [4239]E(f316(f316(f171(x42391,x42392),f316(f316(f149(x42391,x42393),x42394),f316(f240(x42391,x42392),x42395))),f316(f316(f149(x42392,x42396),x42394),f316(f245(x42391,x42392),x42395))),f316(f316(f149(f904(x42391,x42392),f316(f316(f171(x42391,x42392),x42393),x42396)),x42394),x42395))
% 163.96/163.64 [4297]E(f316(f316(f100(f905(f904(x42971,x42972),a895)),f316(f316(f278(x42971,x42973,x42972),x42974),x42975)),f316(f316(f278(x42971,x42973,x42972),x42974),x42976)),f316(f316(f278(x42971,x42973,x42972),x42974),f316(f316(f100(f905(f904(x42973,x42972),a895)),x42975),x42976)))
% 163.96/163.64 [4391]E(f316(f316(f298(f904(x43911,x43912)),f316(f316(f241(x43911,x43912),x43913),x43914)),f316(f316(f100(f905(f904(x43911,x43912),a895)),f316(f316(f243(x43911,x43912),x43915),f316(f16(f905(x43912,a895),x43911),f316(f316(f298(x43912),x43914),x43916)))),f316(f316(f243(x43911,x43912),f316(f316(f298(x43911),x43913),x43915)),f316(f16(f905(x43912,a895),x43911),x43916)))),f316(f316(f243(x43911,x43912),f316(f316(f298(x43911),x43913),x43915)),f316(f16(f905(x43912,a895),x43911),f316(f316(f298(x43912),x43914),x43916))))
% 163.96/163.64 [4470]E(f316(f316(f91(f905(x44701,a895)),f316(f300(x44701,x44702,f316(f66(f904(x44702,x44703),x44702,x44701,f240(x44702,x44703)),x44704)),x44705)),f316(f300(x44701,x44703,f316(f66(f904(x44702,x44703),x44703,x44701,f245(x44702,x44703)),x44704)),x44706)),f316(f300(x44701,f904(x44702,x44703),x44704),f316(f316(f243(x44702,x44703),x44705),f316(f16(f905(x44703,a895),x44702),x44706))))
% 163.96/163.64 [4320]E(f316(f316(f100(f905(f904(x43201,x43202),a895)),f316(f316(f278(x43201,x43203,x43202),x43204),x43205)),f316(f316(f278(x43201,x43203,x43202),x43206),x43205)),f316(f316(f278(x43201,x43203,x43202),f316(f316(f100(f905(f904(x43201,x43203),a895)),x43204),x43206)),x43205))
% 163.96/163.64 [4451]E(f316(f316(f32(x44511,f905(x44512,a895)),x44513),f316(f316(f7(x44511,f905(x44514,f905(x44512,a895)),f905(x44512,a895)),f316(f316(f8(f905(x44514,a895),f905(f905(x44514,f905(x44512,a895)),f905(x44512,a895)),x44511),f32(x44514,f905(x44512,a895))),x44515)),x44516)),f316(f316(f32(x44514,f905(x44512,a895)),f316(f316(f33(x44511,f905(x44514,a895)),x44513),x44515)),x44516))
% 163.96/163.64 [4452]E(f316(f316(f33(x44521,f905(x44522,a895)),x44523),f316(f316(f7(x44521,f905(x44524,f905(x44522,a895)),f905(x44522,a895)),f316(f316(f8(f905(x44524,a895),f905(f905(x44524,f905(x44522,a895)),f905(x44522,a895)),x44521),f33(x44524,f905(x44522,a895))),x44525)),x44526)),f316(f316(f33(x44524,f905(x44522,a895)),f316(f316(f33(x44521,f905(x44524,a895)),x44523),x44525)),x44526))
% 163.96/163.64 [4504]E(f316(f246(x45041,x45042,f904(x45043,x45044)),f316(f316(f7(x45041,f905(x45042,x45044),f905(x45042,f904(x45043,x45044))),f316(f316(f8(f905(x45044,f904(x45043,x45044)),f905(f905(x45042,x45044),f905(x45042,f904(x45043,x45044))),x45041),f8(x45044,f904(x45043,x45044),x45042)),f316(f316(f8(x45043,f905(x45044,f904(x45043,x45044)),x45041),f241(x45043,x45044)),x45045))),x45046)),f247(x45041,x45043,x45042,x45044,x45045,x45046))
% 163.96/163.64 [4527]E(f316(f299(x45271,x45272,f316(f316(f18(x45271,x45272,x45272),f316(f316(f18(x45271,x45272,f905(x45272,x45272)),f316(f316(f8(a895,f905(x45272,f905(x45272,x45272)),x45271),f86(x45272)),x45273)),x45274)),x45275)),x45276),f316(f316(f100(f905(x45272,a895)),f316(f299(x45271,x45272,x45274),f316(f316(f91(f905(x45271,a895)),x45276),f316(f251(x45271),x45273)))),f316(f299(x45271,x45272,x45275),f316(f316(f91(f905(x45271,a895)),x45276),f316(f251(x45271),f316(f316(f8(a895,a895,x45271),a311),x45273))))))
% 163.96/163.64 [4539]E(f316(f299(x45391,f904(x45392,x45393),f316(f316(f18(x45391,x45393,f904(x45392,x45393)),f316(f316(f8(x45392,f905(x45393,f904(x45392,x45393)),x45391),f241(x45392,x45393)),x45394)),x45395)),x45396),f316(f316(f243(x45392,x45393),f316(f299(x45391,x45392,x45394),x45396)),f316(f316(f8(f905(x45391,a895),f905(x45393,a895),x45392),f299(x45391,x45393,x45395)),f316(f316(f7(x45392,f905(x45391,a895),f905(x45391,a895)),f316(f316(f8(f905(x45391,a895),f905(f905(x45391,a895),f905(x45391,a895)),x45392),f91(f905(x45391,a895))),f316(f316(f8(f905(x45392,a895),f905(x45391,a895),x45392),f300(x45391,x45392,x45394)),f316(f316(f7(x45392,f905(x45392,a895),f905(x45392,a895)),f298(x45392)),f178(f905(x45392,a895)))))),x45396))))
% 163.96/163.64 [4564]E(f235(x45641,x45642,x45643,x45644,x45645,x45646),f316(x45644,f316(f251(x45641),f316(f316(f8(f905(f905(x45643,x45641),a895),a895,x45641),f81(f905(x45643,x45641))),f316(f316(f8(f905(f905(x45643,x45641),a895),f905(f905(x45643,x45641),a895),x45641),f316(f18(f905(x45643,x45641),a895,a895),f316(f316(f8(a895,f905(a895,a895),f905(x45643,x45641)),a314),f316(f316(f7(f905(x45643,x45641),f905(f905(x45643,x45641),a895),a895),f318(f905(x45643,x45641))),x45645)))),f316(f316(f7(x45641,f905(f905(x45643,x45641),x45641),f905(f905(x45643,x45641),a895)),f316(f316(f8(f905(x45641,a895),f905(f905(f905(x45643,x45641),x45641),f905(f905(x45643,x45641),a895)),x45641),f8(x45641,a895,f905(x45643,x45641))),a313)),f316(f316(f7(f905(x45643,x45641),x45643,x45641),f5(f905(x45643,x45641))),x45646)))))))
% 163.96/163.64 [4353]E(f316(f66(x43531,x43532,x43533,x43534),f68(x43533,x43531,x43535,x43536,x43537)),f68(x43533,x43532,f316(f66(x43531,x43532,x43533,x43534),x43535),x43536,f316(x43534,x43537)))
% 163.96/163.64 [4487]E(f316(f245(x44871,x44872),f316(f247(x44873,x44871,x44874,x44872,x44875,x44876),x44877)),f316(x44876,f316(f245(x44873,x44874),x44877)))
% 163.96/163.64 [4488]E(f316(f240(x44881,x44882),f316(f247(x44883,x44881,x44884,x44882,x44885,x44886),x44887)),f316(x44885,f316(f240(x44883,x44884),x44887)))
% 163.96/163.64 [4202]E(f316(f316(f171(x42021,x42022),f316(f316(f149(x42021,x42023),x42024),x42025)),f316(f316(f149(x42022,x42026),x42024),x42027)),f316(f316(f149(f904(x42021,x42022),f316(f316(f171(x42021,x42022),x42023),x42026)),x42024),f316(f316(f241(x42021,x42022),x42025),x42027)))
% 163.96/163.64 [4269]E(f316(f316(f316(f248(x42691,x42692,x42693,x42694),x42695),x42696),x42697),f316(f316(f246(x42692,x42693,x42694),x42696),f316(x42695,x42697)))
% 163.96/163.64 [4279]E(f316(f316(f316(f248(x42791,x42792,x42793,x42794),x42795),x42796),x42797),f316(f316(x42796,f316(f240(x42792,x42793),f316(x42795,x42797))),f316(f245(x42792,x42793),f316(x42795,x42797))))
% 163.96/163.64 [4331]E(f316(f66(x43311,x43312,x43313,x43314),f316(f66(x43315,x43311,x43313,x43316),x43317)),f316(f66(x43315,x43312,x43313,f316(f66(x43311,x43312,x43315,x43314),x43316)),x43317))
% 163.96/163.64 [4508]E(f316(f247(x45081,x45082,x45083,x45083,x45084,f25(x45083)),f316(f247(x45081,x45081,x45085,x45083,f25(x45081),x45086),x45087)),f316(f316(f241(x45082,x45083),f316(x45084,f316(f240(x45081,x45085),x45087))),f316(x45086,f316(f245(x45081,x45085),x45087))))
% 163.96/163.64 [4509]E(f316(f247(x45091,x45091,x45092,x45093,f25(x45091),x45094),f316(f247(x45095,x45091,x45092,x45092,x45096,f25(x45092)),x45097)),f316(f316(f241(x45091,x45093),f316(x45096,f316(f240(x45095,x45092),x45097))),f316(x45094,f316(f245(x45095,x45092),x45097))))
% 163.96/163.64 [4525]E(f316(f247(x45251,x45252,x45253,x45253,x45254,f25(x45253)),f316(f247(x45255,x45251,x45253,x45253,x45256,f25(x45253)),x45257)),f316(f247(x45255,x45252,x45253,x45253,f316(f66(x45251,x45252,x45255,x45254),x45256),f25(x45253)),x45257))
% 163.96/163.64 [4526]E(f316(f247(x45261,x45261,x45262,x45263,f25(x45261),x45264),f316(f247(x45261,x45261,x45265,x45262,f25(x45261),x45266),x45267)),f316(f247(x45261,x45261,x45265,x45263,f25(x45261),f316(f66(x45262,x45263,x45265,x45264),x45266)),x45267))
% 163.96/163.64 [4536]E(f316(f247(x45361,x45362,x45363,x45363,x45364,f25(x45363)),f316(f247(x45361,x45361,x45365,x45363,f25(x45361),x45366),x45367)),f316(f247(x45362,x45362,x45365,x45363,f25(x45362),x45366),f316(f247(x45361,x45362,x45365,x45365,x45364,f25(x45365)),x45367)))
% 163.96/163.64 [4236]E(f316(f316(f278(x42361,x42362,x42363),f316(f316(f278(x42361,x42364,x42362),x42365),x42366)),x42367),f316(f316(f278(x42361,x42364,x42363),x42365),f316(f316(f278(x42364,x42362,x42363),x42366),x42367)))
% 163.96/163.64 [4303]E(f316(f316(f246(x43031,x43032,x43033),f316(f66(x43034,f905(x43032,x43033),x43031,x43035),x43036)),x43037),f316(f316(x43035,f316(x43036,f316(f240(x43031,x43032),x43037))),f316(f245(x43031,x43032),x43037)))
% 163.96/163.64 [4384]E(f316(f132(x43841,x43842,f316(f7(x43842,x43841,x43841),x43843),x43844),f316(f158(x43842),f316(f316(f144(x43845,x43842),x43846),x43847))),f316(f132(x43841,x43845,f316(f7(x43845,x43841,x43841),f316(f66(x43842,f905(x43841,x43841),x43845,x43843),x43846)),x43844),f316(f158(x43845),x43847)))
% 163.96/163.64 [4332]E(f316(f316(f33(x43321,f905(f904(x43322,x43323),a895)),x43324),f316(f316(f8(f905(f904(x43325,x43323),a895),f905(f904(x43322,x43323),a895),x43321),f316(f278(x43322,x43325,x43323),x43326)),x43327)),f316(f316(f278(x43322,x43325,x43323),x43326),f316(f316(f33(x43321,f905(f904(x43325,x43323),a895)),x43324),x43327)))
% 163.96/163.64 [4475]E(f316(f316(f33(x44751,f905(f904(x44752,x44753),a895)),x44754),f316(f316(f7(x44751,f905(f904(x44755,x44753),a895),f905(f904(x44752,x44753),a895)),f316(f316(f8(f905(f904(x44752,x44755),a895),f905(f905(f904(x44755,x44753),a895),f905(f904(x44752,x44753),a895)),x44751),f278(x44752,x44755,x44753)),x44756)),x44757)),f316(f316(f278(x44752,x44755,x44753),f316(f316(f33(x44751,f905(f904(x44752,x44755),a895)),x44754),x44756)),x44757))
% 163.96/163.64 [4476]E(f316(f132(x44761,x44762,f316(f316(f7(x44761,f905(x44762,x44763),f905(x44762,x44761)),f316(f316(f8(f905(x44763,x44761),f905(f905(x44762,x44763),f905(x44762,x44761)),x44761),f8(x44763,x44761,x44762)),x44764)),x44765),x44766),x44767),f316(f132(x44761,x44763,x44764,x44766),f316(f316(f144(x44762,x44763),x44765),x44767)))
% 163.96/163.64 [4537]E(f316(f316(f32(x45371,f905(x45372,a895)),x45373),f316(f316(f8(f905(x45374,f905(x45372,a895)),f905(x45372,a895),x45371),f316(f32(x45374,f905(x45372,a895)),x45375)),f316(f316(f7(x45371,f905(x45374,f905(x45372,a895)),f905(x45374,f905(x45372,a895))),f316(f316(f8(f905(f905(x45372,a895),f905(x45372,a895)),f905(f905(x45374,f905(x45372,a895)),f905(x45374,f905(x45372,a895))),x45371),f8(f905(x45372,a895),f905(x45372,a895),x45374)),f316(f316(f8(f905(x45372,a895),f905(f905(x45372,a895),f905(x45372,a895)),x45371),f100(f905(x45372,a895))),x45376))),x45377))),f316(f316(f100(f905(x45372,a895)),f316(f316(f32(x45371,f905(x45372,a895)),x45373),x45376)),f316(f316(f32(x45374,f905(x45372,a895)),x45375),x45377)))
% 163.96/163.64 [4538]E(f316(f316(f33(x45381,f905(x45382,a895)),x45383),f316(f316(f8(f905(x45384,f905(x45382,a895)),f905(x45382,a895),x45381),f316(f33(x45384,f905(x45382,a895)),x45385)),f316(f316(f7(x45381,f905(x45384,f905(x45382,a895)),f905(x45384,f905(x45382,a895))),f316(f316(f8(f905(f905(x45382,a895),f905(x45382,a895)),f905(f905(x45384,f905(x45382,a895)),f905(x45384,f905(x45382,a895))),x45381),f8(f905(x45382,a895),f905(x45382,a895),x45384)),f316(f316(f8(f905(x45382,a895),f905(f905(x45382,a895),f905(x45382,a895)),x45381),f91(f905(x45382,a895))),x45386))),x45387))),f316(f316(f91(f905(x45382,a895)),f316(f316(f33(x45381,f905(x45382,a895)),x45383),x45386)),f316(f316(f33(x45384,f905(x45382,a895)),x45385),x45387)))
% 163.96/163.64 [4530]E(f187(x45301,x45302,f316(f316(f316(x45303,x45304),x45305),x45306),f316(f316(f7(x45301,f904(a89,a89),f905(a89,f900(x45302))),f316(f316(f7(x45301,a89,f905(f904(a89,a89),f905(a89,f900(x45302)))),f316(f316(f7(x45301,a89,f905(a89,f905(f904(a89,a89),f905(a89,f900(x45302))))),x45307),x45304)),x45305)),x45306)),f316(f316(f316(f199(x45301,x45302,x45303,x45307),x45304),x45305),x45306))
% 163.96/163.64 [4544]E(f188(x45441,x45442,f316(f316(f316(x45443,x45444),x45445),x45446),f316(f316(f7(x45441,f904(a89,a89),f905(a89,f900(x45442))),f316(f316(f7(x45441,a89,f905(f904(a89,a89),f905(a89,f900(x45442)))),f316(f316(f7(x45441,a89,f905(a89,f905(f904(a89,a89),f905(a89,f900(x45442))))),x45447),x45444)),x45445)),x45446)),f201(x45441,x45442,x45443,x45447,x45444,x45445,x45446))
% 163.96/163.64 [4535]E(f185(x45351,x45352,f316(f316(f316(x45353,x45354),x45355),x45356),f316(f316(f7(x45351,f904(a89,a89),f905(a89,f900(f902(x45352)))),f316(f316(f7(x45351,a89,f905(f904(a89,a89),f905(a89,f900(f902(x45352))))),f316(f316(f7(x45351,a89,f905(a89,f905(f904(a89,a89),f905(a89,f900(f902(x45352)))))),x45357),x45354)),x45355)),x45356)),f316(f316(f316(f196(x45351,x45352,x45353,x45357),x45354),x45355),x45356))
% 163.96/163.64 [4546]E(f186(x45461,x45462,f316(f316(f316(x45463,x45464),x45465),x45466),f316(f316(f7(x45461,f904(a89,a89),f905(a89,f900(f902(x45462)))),f316(f316(f7(x45461,a89,f905(f904(a89,a89),f905(a89,f900(f902(x45462))))),f316(f316(f7(x45461,a89,f905(a89,f905(f904(a89,a89),f905(a89,f900(f902(x45462)))))),x45467),x45464)),x45465)),x45466)),f198(x45461,x45462,x45463,x45467,x45464,x45465,x45466))
% 163.96/163.64 [4445]E(f316(f247(x44451,x44452,x44453,x44454,x44455,x44456),f316(f316(f241(x44451,x44453),x44457),x44458)),f316(f316(f241(x44452,x44454),f316(x44455,x44457)),f316(x44456,x44458)))
% 163.96/163.64 [4548]E(f316(f316(f144(f904(x45481,x45482),f904(x45483,x45484)),f316(f246(x45481,x45482,f904(x45483,x45484)),f316(f316(f7(x45481,f905(x45482,x45484),f905(x45482,f904(x45483,x45484))),f316(f316(f8(f905(x45484,f904(x45483,x45484)),f905(f905(x45482,x45484),f905(x45482,f904(x45483,x45484))),x45481),f8(x45484,f904(x45483,x45484),x45482)),f316(f316(f8(x45483,f905(x45484,f904(x45483,x45484)),x45481),f241(x45483,x45484)),x45485))),x45486))),f316(f316(f171(x45481,x45482),x45487),x45488)),f316(f316(f171(x45483,x45484),f316(f316(f144(x45481,x45483),x45485),x45487)),f316(f316(f144(x45482,x45484),x45486),x45488)))
% 163.96/163.64 [4551]E(f316(f316(f144(f904(x45511,x45512),x45513),f316(f246(x45511,x45512,x45513),f316(f316(f8(f905(x45512,f904(x45511,x45514)),f905(x45512,x45513),x45511),f316(f8(f904(x45511,x45514),x45513,x45512),x45515)),f316(f316(f7(x45511,f905(x45512,x45514),f905(x45512,f904(x45511,x45514))),f316(f316(f8(f905(x45514,f904(x45511,x45514)),f905(f905(x45512,x45514),f905(x45512,f904(x45511,x45514))),x45511),f8(x45514,f904(x45511,x45514),x45512)),f241(x45511,x45514))),x45516)))),f316(f316(f171(x45511,x45512),x45517),x45518)),f316(f316(f144(f904(x45511,x45514),x45513),x45515),f316(f316(f171(x45511,x45514),x45517),f316(f316(f144(x45512,x45514),x45516),x45518))))
% 163.96/163.64 [4479]E(f316(f316(f144(f904(x44791,x44792),x44793),f316(f246(x44791,x44792,x44793),f316(f316(f8(f905(x44792,f904(x44794,x44792)),f905(x44792,x44793),x44791),f316(f8(f904(x44794,x44792),x44793,x44792),x44795)),f316(f316(f8(x44794,f905(x44792,f904(x44794,x44792)),x44791),f241(x44794,x44792)),x44796)))),f316(f316(f171(x44791,x44792),x44797),x44798)),f316(f316(f144(f904(x44794,x44792),x44793),x44795),f316(f316(f171(x44794,x44792),f316(f316(f144(x44791,x44794),x44796),x44797)),x44798)))
% 163.96/163.64 [4436]E(f316(f316(f246(x44361,x44362,x44363),f316(f316(f8(f905(x44362,f904(x44364,x44365)),f905(x44362,x44363),x44361),f316(f8(f904(x44364,x44365),x44363,x44362),f316(f246(x44364,x44365,x44363),x44366))),x44367)),x44368),f316(f316(f246(x44364,x44365,x44363),x44366),f316(f316(f246(x44361,x44362,f904(x44364,x44365)),x44367),x44368)))
% 163.96/163.64 [4552]E(f316(f316(f33(f904(x45521,x45522),f905(f904(x45523,x45524),a895)),f316(f316(f243(x45521,x45522),x45525),f316(f16(f905(x45522,a895),x45521),x45526))),f316(f246(x45521,x45522,f905(f904(x45523,x45524),a895)),f316(f316(f7(x45521,f905(x45522,f905(x45523,f905(x45524,a895))),f905(x45522,f905(f904(x45523,x45524),a895))),f316(f316(f8(f905(f905(x45523,f905(x45524,a895)),f905(f904(x45523,x45524),a895)),f905(f905(x45522,f905(x45523,f905(x45524,a895))),f905(x45522,f905(f904(x45523,x45524),a895))),x45521),f8(f905(x45523,f905(x45524,a895)),f905(f904(x45523,x45524),a895),x45522)),f316(f316(f8(f905(x45523,a895),f905(f905(x45523,f905(x45524,a895)),f905(f904(x45523,x45524),a895)),x45521),f243(x45523,x45524)),x45527))),f316(f316(f8(f905(x45524,a895),f905(x45523,f905(x45524,a895)),x45522),f16(f905(x45524,a895),x45523)),x45528)))),f316(f316(f243(x45523,x45524),f316(f316(f33(x45521,f905(x45523,a895)),x45525),x45527)),f316(f16(f905(x45524,a895),x45523),f316(f316(f33(x45522,f905(x45524,a895)),x45526),x45528))))
% 163.96/163.64 [4493]E(f316(f316(f248(x44931,x44932,x44933,x44934),f316(f316(f248(x44931,x44935,x44936,f904(x44932,x44933)),x44937),x44938)),x44939),f316(f316(f248(x44931,x44935,x44936,x44934),x44937),f316(f316(f7(x44935,f905(x44932,f905(x44933,x44934)),f905(x44936,x44934)),f316(f316(f8(f905(x44936,f904(x44932,x44933)),f905(f905(x44932,f905(x44933,x44934)),f905(x44936,x44934)),x44935),f248(x44936,x44932,x44933,x44934)),x44938)),x44939)))
% 163.96/163.64 [4522]E(f316(f66(f904(x45221,x45222),f904(x45223,x45224),f904(x45225,x45226),f247(x45221,x45223,x45222,x45224,x45227,x45228)),f247(x45225,x45221,x45226,x45222,x45229,x452210)),f247(x45225,x45223,x45226,x45224,f316(f66(x45221,x45223,x45225,x45227),x45229),f316(f66(x45222,x45224,x45226,x45228),x452210)))
% 163.96/163.64 [4528]E(f316(f247(x45281,x45282,x45283,x45284,x45285,x45286),f316(f247(x45287,x45281,x45288,x45283,x45289,x452810),x452811)),f316(f247(x45287,x45282,x45288,x45284,f316(f66(x45281,x45282,x45287,x45285),x45289),f316(f66(x45283,x45284,x45288,x45286),x452810)),x452811))
% 163.96/163.64 [4655]~P61(x46551)+P61(f902(x46551))
% 163.96/163.64 [4656]~P64(x46561)+P64(f902(x46561))
% 163.96/163.64 [4657]~P105(x46571)+P105(f899(x46571))
% 163.96/163.64 [4660]~P145(x46601)+~E(f72(x46601),f2(x46601))
% 163.96/163.64 [4662]~E(x46621,f2(a89))+E(f316(a22,x46621),f2(a1))
% 163.96/163.64 [4663]~E(x46631,f2(a1))+E(f76(a1,x46631),f2(a1))
% 163.96/163.64 [4669]~P146(x46691)+P26(x46691,f2(x46691))
% 163.96/163.64 [4671]~P108(x46711)+P10(x46711,f103(x46711))
% 163.96/163.64 [4680]P107(x46801)+P107(f316(a311,x46801))
% 163.96/163.64 [4734]~P146(x47341)+~P26(x47341,f72(x47341))
% 163.96/163.64 [4771]~P107(x47711)+~P107(f316(a311,x47711))
% 163.96/163.64 [4792]E(f316(a94,x47921),f2(a898))+~P107(f316(a183,x47921))
% 163.96/163.64 [4858]~P83(x48581)+P11(x48581,x48581,f100(x48581))
% 163.96/163.64 [4859]~P103(x48591)+P11(x48591,x48591,f91(x48591))
% 163.96/163.64 [4860]~P99(x48601)+P11(x48601,x48601,f75(x48601))
% 163.96/163.64 [4861]~P108(x48611)+P11(x48611,x48611,f222(x48611))
% 163.96/163.64 [4862]~P108(x48621)+P11(x48621,x48621,f223(x48621))
% 163.96/163.64 [4863]~P69(x48631)+P13(x48631,x48631,f75(x48631))
% 163.96/163.64 [4666]~E(x46661,f2(a898))+E(f316(f90(a1),x46661),f2(a1))
% 163.96/163.64 [4673]~P98(x46731)+E(f316(f93(x46731),a77),f2(x46731))
% 163.96/163.64 [4676]~E(f570(x46761),f2(a898))+E(f316(f155(a898),x46761),f2(a898))
% 163.96/163.64 [4677]~P110(x46771)+E(f226(x46771,f224(x46771)),f222(x46771))
% 163.96/163.64 [4678]~P110(x46781)+E(f227(x46781,f224(x46781)),f223(x46781))
% 163.96/163.64 [4679]~P92(x46791)+E(f76(x46791,f2(x46791)),f2(x46791))
% 163.96/163.64 [4688]~P146(x46881)+E(f316(f90(x46881),f72(a898)),f72(x46881))
% 163.96/163.64 [4689]~P146(x46891)+E(f316(f90(x46891),f2(a898)),f2(x46891))
% 163.96/163.64 [4690]~P141(x46901)+E(f316(f92(x46901),f72(a1)),f72(x46901))
% 163.96/163.64 [4691]~P141(x46911)+E(f316(f92(x46911),f2(a1)),f2(x46911))
% 163.96/163.64 [4692]E(x46921,f2(a898))+~E(f316(f90(a1),x46921),f2(a1))
% 163.96/163.64 [4728]~P94(x47281)+E(f316(f73(x47281),f178(x47281)),f231(x47281))
% 163.96/163.64 [4729]~P94(x47291)+E(f316(f73(x47291),f231(x47291)),f178(x47291))
% 163.96/163.64 [4730]~P71(x47301)+E(f316(f73(x47301),f2(x47301)),f2(x47301))
% 163.96/163.64 [4731]~P123(x47311)+E(f316(f69(x47311),f72(x47311)),f72(x47311))
% 163.96/163.64 [4732]~P89(x47321)+E(f316(f69(x47321),f2(x47321)),f2(x47321))
% 163.96/163.64 [4733]~P82(x47331)+E(f316(f155(x47331),f103(x47331)),f2(x47331))
% 163.96/163.64 [4751]~P35(x47511)+P39(f316(f162(a1),x47511))
% 163.96/163.64 [4776]~P98(x47761)+E(f316(f73(x47761),f72(x47761)),f316(f93(x47761),a87))
% 163.96/163.64 [4791]~P98(x47911)+P26(x47911,f316(f93(x47911),a77))
% 163.96/163.64 [4817]P35(x48171)+~P39(f316(f162(a1),x48171))
% 163.96/163.64 [4864]E(f316(f90(a1),f316(a94,x48641)),x48641)+P107(f316(a183,x48641))
% 163.96/163.64 [4934]~P116(x49341)+E(f234(x49341,f72(x49341),f75(x49341)),f233(x49341))
% 163.96/163.64 [4967]~P98(x49671)+~P26(x49671,f316(f93(x49671),a87))
% 163.96/163.64 [5120]E(f316(f69(a1),x51201),x51201)+P107(f316(f316(f225(a1),x51201),f2(a1)))
% 163.96/163.64 [5138]~E(f316(a94,x51381),f2(a898))+P107(f316(f316(f224(a1),x51381),f2(a1)))
% 163.96/163.64 [5204]~P107(f316(a183,x52041))+P107(f316(f316(f225(a1),x52041),f2(a1)))
% 163.96/163.64 [5244]~P141(x52441)+P107(f316(f316(f318(x52441),f72(x52441)),f99(x52441)))
% 163.96/163.64 [5245]~P146(x52451)+P107(f316(f316(f318(x52451),f72(x52451)),f176(x52451)))
% 163.96/163.64 [5246]~P141(x52461)+P107(f316(f316(f318(x52461),f2(x52461)),f99(x52461)))
% 163.96/163.64 [5247]~P146(x52471)+P107(f316(f316(f318(x52471),f2(x52471)),f176(x52471)))
% 163.96/163.64 [5248]~P126(x52481)+P107(f316(f316(f224(x52481),f2(x52481)),f72(x52481)))
% 163.96/163.64 [5249]~P126(x52491)+P107(f316(f316(f225(x52491),f2(x52491)),f72(x52491)))
% 163.96/163.64 [5301]E(x53011,f72(a898))+~P107(f316(f316(f276(a898),x53011),f72(a898)))
% 163.96/163.64 [5302]E(x53021,f2(a898))+~P107(f316(f316(f224(a898),x53021),f2(a898)))
% 163.96/163.64 [5344]E(f316(a94,x53441),f2(a898))+~P107(f316(f316(f224(a1),x53441),f2(a1)))
% 163.96/163.64 [5401]P107(f316(a183,x54011))+~P107(f316(f316(f225(a1),x54011),f2(a1)))
% 163.96/163.64 [5408]~P108(x54081)+P13(x54081,f899(x54081),f138(x54081,x54081,f5(x54081)))
% 163.96/163.64 [5426]P39(x54261)+~P107(f316(f316(f224(a1),f2(a1)),f414(x54261)))
% 163.96/163.64 [5431]E(f316(f69(a1),x54311),f316(f73(a1),x54311))+~P107(f316(f316(f225(a1),x54311),f2(a1)))
% 163.96/163.64 [5604]~P126(x56041)+~P107(f316(f316(f224(x56041),f72(x56041)),f2(x56041)))
% 163.96/163.64 [5605]~P126(x56051)+~P107(f316(f316(f225(x56051),f72(x56051)),f2(x56051)))
% 163.96/163.64 [5621]~E(x56211,f2(a898))+P107(f316(f316(f224(a1),f316(f90(a1),x56211)),f2(a1)))
% 163.96/163.64 [5622]~E(x56221,f2(a1))+P107(f316(f316(f225(a1),f316(f69(a1),x56221)),f72(a1)))
% 163.96/163.64 [5744]~P82(x57441)+E(f132(x57441,x57441,f74(x57441),f2(x57441)),f155(x57441))
% 163.96/163.64 [5928]~P104(x59281)+P22(a898,x59281,f90(x59281),f231(f905(a898,a895)))
% 163.96/163.64 [6133]E(x61331,f2(a898))+~P107(f316(f316(f224(a1),f316(f90(a1),x61331)),f2(a1)))
% 163.96/163.64 [6134]E(x61341,f2(a1))+~P107(f316(f316(f225(a1),f316(f69(a1),x61341)),f72(a1)))
% 163.96/163.64 [6953]~P107(f316(f316(f225(a1),x69531),f2(a1)))+P107(f316(f316(f225(a1),f316(f316(f74(a1),x69531),x69531)),f2(a1)))
% 163.96/163.64 [7514]P107(f316(f316(f225(a1),x75141),f2(a1)))+~P107(f316(f316(f225(a1),f316(f316(f74(a1),x75141),x75141)),f2(a1)))
% 163.96/163.64 [8065]E(x80651,f316(a3,f2(a898)))+P107(f316(f316(f225(a898),f316(f316(f23(a898),f316(a20,x80651)),f316(a102,f2(a898)))),f316(a20,x80651)))
% 163.96/163.64 [8834]~P107(f316(f316(f225(a1),x88341),f2(a1)))+P107(f316(f316(f225(a1),f316(f316(f23(a1),f316(f316(f74(a1),x88341),x88341)),a87)),f2(a1)))
% 163.96/163.64 [8931]~P107(f316(f316(f225(a1),x89311),f2(a1)))+P107(f316(f316(f225(a1),f316(f316(f74(a1),f316(f316(f74(a1),f72(a1)),x89311)),x89311)),f2(a1)))
% 163.96/163.64 [9253]P107(f316(f316(f225(a1),x92531),f2(a1)))+~P107(f316(f316(f225(a1),f316(f316(f23(a1),f316(f316(f74(a1),x92531),x92531)),a87)),f2(a1)))
% 163.96/163.64 [9315]P107(f316(f316(f225(a1),x93151),f2(a1)))+~P107(f316(f316(f225(a1),f316(f316(f74(a1),f316(f316(f74(a1),f72(a1)),x93151)),x93151)),f2(a1)))
% 163.96/163.64 [4765]~E(a77,x47651)+E(f316(f316(f74(a1),x47651),x47651),a77)
% 163.96/163.64 [4766]~E(x47661,a77)+E(f316(f316(f74(a1),x47661),x47661),a77)
% 163.96/163.64 [4777]E(x47771,f2(a1))+E(f316(f316(f29(a1),x47771),x47771),f72(a1))
% 163.96/163.64 [4911]E(x49111,a77)+~E(f316(f316(f74(a1),x49111),x49111),a77)
% 163.96/163.64 [4912]E(a77,x49121)+~E(f316(f316(f74(a1),x49121),x49121),a77)
% 163.96/163.64 [4924]~P2(x49241)+E(f30(x49241,f178(f905(x49241,a895))),f178(x49241))
% 163.96/163.64 [4925]~P2(x49251)+E(f30(x49251,f231(f905(x49251,a895))),f231(x49251))
% 163.96/163.64 [4926]~P2(x49261)+E(f31(x49261,f178(f905(x49261,a895))),f231(x49261))
% 163.96/163.64 [4927]~P2(x49271)+E(f31(x49271,f231(f905(x49271,a895))),f178(x49271))
% 163.96/163.64 [4928]~P108(x49281)+E(f129(x49281,f178(f905(x49281,a895))),f103(x49281))
% 163.96/163.64 [5075]E(x50751,f2(a898))+P107(f316(f316(f225(a898),f2(a898)),x50751))
% 163.96/163.64 [5095]~P3(x50951)+P107(f316(f316(f224(a1),f2(a1)),x50951))
% 163.96/163.64 [5129]~E(f316(f93(a898),x51291),f2(a898))+P107(f316(f316(f224(a1),x51291),a77))
% 163.96/163.64 [5134]P39(x51341)+P107(f316(f316(f318(a1),f414(x51341)),x51341))
% 163.96/163.64 [5135]E(x51351,f316(a3,f2(a898)))+P107(f316(f316(f224(a89),f72(a89)),x51351))
% 163.96/163.64 [5176]P107(f316(a183,x51761))+P107(f316(f316(f224(a1),f2(a1)),x51761))
% 163.96/163.64 [5226]E(f316(f90(a1),f316(a94,x52261)),f2(a1))+P107(f316(f316(f224(a1),f2(a1)),x52261))
% 163.96/163.64 [5283]E(f316(f90(a1),f316(f93(a898),x52831)),f316(f93(a1),x52831))+P107(f316(a183,f316(f93(a1),x52831)))
% 163.96/163.64 [5308]E(f316(f93(a898),x53081),f2(a898))+~P107(f316(a183,f316(f93(a1),x53081)))
% 163.96/163.64 [5309]E(f316(f93(a898),x53091),f2(a898))+~P107(f316(f316(f224(a1),x53091),a77))
% 163.96/163.64 [5341]P3(x53411)+~P107(f316(f316(f224(a1),f2(a1)),x53411))
% 163.96/163.64 [5411]E(f316(a102,f321(x54111)),x54111)+~P107(f316(f316(f225(a898),f2(a898)),x54111))
% 163.96/163.64 [5420]E(f316(a102,f316(f93(a898),x54201)),f72(a898))+~P107(f316(a183,f316(f93(a1),x54201)))
% 163.96/163.64 [5427]E(f316(f90(a1),f441(x54271)),x54271)+~P107(f316(f316(f225(a1),f2(a1)),x54271))
% 163.96/163.64 [5434]~E(x54341,f316(a3,f2(a898)))+~P107(f316(f316(f224(a89),f72(a89)),x54341))
% 163.96/163.64 [5441]E(f316(f90(a1),f316(f93(a898),x54411)),f2(a1))+~P107(f316(a183,f316(f93(a1),x54411)))
% 163.96/163.64 [5467]E(f316(f155(a898),x54671),f2(a898))+P107(f316(f316(f318(a898),f570(x54671)),f316(f162(a898),x54671)))
% 163.96/163.64 [5488]E(f316(f90(a1),f316(a94,x54881)),x54881)+~P107(f316(f316(f224(a1),f2(a1)),x54881))
% 163.96/163.64 [5496]~P107(f316(a183,x54961))+~P107(f316(f316(f224(a1),f2(a1)),x54961))
% 163.96/163.64 [5597]E(f316(f316(f74(a898),f72(a898)),f316(f93(a898),x55971)),f72(a898))+~P107(f316(f316(f225(a1),x55971),a77))
% 163.96/163.64 [5663]E(x56631,f2(a898))+~P107(f316(f316(f225(a898),x56631),f316(a102,f2(a898))))
% 163.96/163.64 [5685]E(x56851,f316(a102,f2(a898)))+~P107(f316(f316(f276(a898),x56851),f316(a102,f2(a898))))
% 163.96/163.64 [5703]E(f316(f316(f23(a898),f316(f93(a898),x57031)),f72(a898)),f2(a898))+~P107(f316(f316(f224(a1),x57031),a77))
% 163.96/163.64 [5704]E(f316(f316(f74(a898),f316(f93(a898),x57041)),f72(a898)),f72(a898))+~P107(f316(f316(f225(a1),x57041),a77))
% 163.96/163.64 [5716]~P39(x57161)+E(f316(f28(a898),f316(f299(a1,a898,a94),x57161)),f316(f28(a1),x57161))
% 163.96/163.64 [5745]~P108(x57451)+E(f226(x57451,f316(f7(x57451,x57451,a895),f224(x57451))),f223(x57451))
% 163.96/163.64 [5746]~P108(x57461)+E(f227(x57461,f316(f7(x57461,x57461,a895),f224(x57461))),f222(x57461))
% 163.96/163.64 [5756]E(f38(a898,f316(a102,f2(a898)),f316(f93(a898),x57561)),f316(a102,f2(a898)))+~P107(f316(a183,f316(f93(a1),x57561)))
% 163.96/163.64 [5765]~P107(f316(f316(f225(a1),f2(a1)),x57651))+P107(f316(f316(f224(a1),f72(a1)),x57651))
% 163.96/163.64 [5766]P107(f316(f316(f225(a1),f2(a1)),x57661))+~P107(f316(f316(f224(a1),f72(a1)),x57661))
% 163.96/163.64 [5777]E(f316(a102,f316(f316(f23(a898),x57771),f72(a898))),x57771)+~P107(f316(f316(f225(a898),f2(a898)),x57771))
% 163.96/163.64 [5833]P107(f316(f316(f225(a898),f2(a898)),f441(x58331)))+~P107(f316(f316(f225(a1),f2(a1)),x58331))
% 163.96/163.64 [5895]E(f38(a1,f316(f93(a1),a87),x58951),f316(f316(f23(a1),x58951),f72(a1)))+~P107(f316(f316(f225(a1),f2(a1)),x58951))
% 163.96/163.64 [5941]~P107(f316(f316(f225(a1),a77),x59411))+P107(f316(f316(f225(a898),f2(a898)),f316(f93(a898),x59411)))
% 163.96/163.64 [5946]E(f316(a20,f808(x59461)),x59461)+~P107(f316(f316(f318(a898),x59461),f231(f905(a898,a895))))
% 163.96/163.64 [5998]P107(f316(f316(f225(a898),f2(a898)),f316(a94,x59981)))+~P107(f316(f316(f225(a1),f2(a1)),x59981))
% 163.96/163.64 [6048]~P107(f316(f316(f225(a898),f2(a898)),x60481))+P107(f316(f316(f225(a1),f2(a1)),f316(f90(a1),x60481)))
% 163.96/163.64 [6084]~P107(f316(f316(f225(a898),f2(a898)),f316(a94,x60841)))+P107(f316(f316(f225(a1),f2(a1)),x60841))
% 163.96/163.64 [6099]~P39(x60991)+E(f316(f299(a898,a1,f90(a1)),f316(f299(a1,a898,a94),x60991)),x60991)
% 163.96/163.64 [6112]P107(f316(f316(f225(a1),a77),x61121))+~P107(f316(f316(f225(a898),f2(a898)),f316(f93(a898),x61121)))
% 163.96/163.64 [6171]P107(f316(f316(f225(a898),f2(a898)),x61711))+~P107(f316(f316(f225(a1),f2(a1)),f316(f90(a1),x61711)))
% 163.96/163.64 [6290]E(f316(f299(a898,a1,f90(a1)),f316(f271(a898),f316(a94,x62901))),f316(f291(a1,f2(a1)),x62901))+~P107(f316(f316(f224(a1),f2(a1)),x62901))
% 163.96/163.64 [6306]~P126(x63061)+P107(f316(f316(f225(x63061),f2(x63061)),f316(f316(f74(x63061),f72(x63061)),f72(x63061))))
% 163.96/163.64 [6356]P107(f316(f316(f225(a898),f316(a102,f2(a898))),f316(a94,x63561)))+~P107(f316(f316(f225(a1),f72(a1)),x63561))
% 163.96/163.64 [6457]E(x64571,f2(a1))+P107(f316(f42(f2(a1),x64571),f316(f316(f241(a1,a1),f2(a1)),f2(a1))))
% 163.96/163.64 [6630]~P107(f316(f316(f225(a898),f316(a102,f2(a898))),f316(a94,x66301)))+P107(f316(f316(f225(a1),f72(a1)),x66301))
% 163.96/163.64 [7066]~P114(x70661)+P36(x70661,f316(f251(f904(x70661,x70661)),f316(f246(x70661,x70661,a895),f225(x70661))))
% 163.96/163.64 [5650]E(f316(f93(a898),f316(f316(f23(a1),x56501),a87)),f316(a102,f316(f93(a898),x56501)))+P107(f316(a183,f316(f93(a1),x56501)))
% 163.96/163.64 [5666]~P35(x56661)+E(f316(f316(f144(a898,a1),f90(a1)),f316(f316(f144(a1,a898),a94),x56661)),x56661)
% 163.96/163.64 [5783]E(f316(f73(a1),f316(f90(a1),f316(a102,f466(x57831)))),x57831)+~P107(f316(f316(f225(a1),x57831),f2(a1)))
% 163.96/163.64 [5793]E(f316(f316(f74(a898),f72(a898)),f316(f93(a898),x57931)),f316(f93(a898),f316(f316(f23(a1),x57931),a87)))+P107(f316(f316(f225(a1),x57931),a77))
% 163.96/163.64 [5835]E(f316(f316(f29(a1),f316(f93(a1),a87)),x58351),f316(f93(a1),a87))+~P107(f316(f316(f225(a1),f2(a1)),x58351))
% 163.96/163.64 [5937]E(f316(f316(f23(a898),f316(f93(a898),x59371)),f72(a898)),f316(f93(a898),f316(f316(f74(a1),x59371),a87)))+P107(f316(f316(f224(a1),x59371),a77))
% 163.96/163.64 [5938]E(f316(f316(f74(a898),f316(f93(a898),x59381)),f72(a898)),f316(f93(a898),f316(f316(f23(a1),x59381),a87)))+P107(f316(f316(f225(a1),x59381),a77))
% 163.96/163.64 [5984]E(f316(a94,f316(f316(f74(a1),f72(a1)),x59841)),f316(a102,f316(a94,x59841)))+~P107(f316(f316(f224(a1),f2(a1)),x59841))
% 163.96/163.64 [6019]E(f316(a102,f316(f316(f23(a898),x60191),f316(a102,f2(a898)))),x60191)+~P107(f316(f316(f225(a898),f2(a898)),x60191))
% 163.96/163.64 [6239]E(f38(a898,f316(a102,f2(a898)),f316(f93(a898),x62391)),f316(a94,f38(a1,f72(a1),f316(f93(a1),x62391))))+P107(f316(a183,f316(f93(a1),x62391)))
% 163.96/163.64 [6283]~P107(f316(f316(f224(a1),a77),x62831))+P107(f316(f316(f224(a1),a77),f316(f316(f74(a1),x62831),x62831)))
% 163.96/163.64 [6284]~P107(f316(f316(f225(a1),a87),x62841))+P107(f316(f316(f224(a1),a87),f316(f316(f74(a1),x62841),x62841)))
% 163.96/163.64 [6285]~P107(f316(f316(f225(a1),a77),x62851))+P107(f316(f316(f225(a1),a77),f316(f316(f74(a1),x62851),x62851)))
% 163.96/163.64 [6286]~P107(f316(f316(f225(a1),a87),x62861))+P107(f316(f316(f225(a1),a87),f316(f316(f74(a1),x62861),x62861)))
% 163.96/163.64 [6471]~P107(f316(f54(x64711),f231(f905(x64711,a895))))+P107(f316(f54(f902(x64711)),f231(f905(f902(x64711),a895))))
% 163.96/163.64 [6558]~P107(f316(f316(f224(a1),f2(a1)),x65581))+P107(f316(f316(f225(a1),f2(a1)),f316(f316(f74(a1),f72(a1)),x65581)))
% 163.96/163.64 [6565]E(f316(f240(a1,a1),f40(f72(a1),f316(f93(a1),x65651))),f316(f316(f29(a1),f72(a1)),f316(f93(a1),x65651)))+~P107(f316(f316(f224(a1),f2(a1)),f316(f93(a1),x65651)))
% 163.96/163.64 [6589]E(f316(f245(a1,a1),f40(f72(a1),f316(f93(a1),x65891))),f38(a1,f72(a1),f316(f93(a1),x65891)))+~P107(f316(f316(f224(a1),f2(a1)),f316(f93(a1),x65891)))
% 163.96/163.64 [6601]P107(f316(f54(x66011),f231(f905(x66011,a895))))+~P107(f316(f54(f902(x66011)),f231(f905(f902(x66011),a895))))
% 163.96/163.64 [6631]P107(f316(f316(f224(a1),a77),x66311))+~P107(f316(f316(f224(a1),a77),f316(f316(f74(a1),x66311),x66311)))
% 163.96/163.64 [6632]P107(f316(f316(f225(a1),a77),x66321))+~P107(f316(f316(f225(a1),a77),f316(f316(f74(a1),x66321),x66321)))
% 163.96/163.64 [6633]P107(f316(f316(f225(a1),a87),x66331))+~P107(f316(f316(f224(a1),a87),f316(f316(f74(a1),x66331),x66331)))
% 163.96/163.64 [6634]P107(f316(f316(f225(a1),a87),x66341))+~P107(f316(f316(f225(a1),a87),f316(f316(f74(a1),x66341),x66341)))
% 163.96/163.64 [6957]~P107(f316(f54(x69571),f231(f905(x69571,a895))))+P107(f316(f316(f225(a898),f2(a898)),f316(f28(x69571),f231(f905(x69571,a895)))))
% 163.96/163.64 [7552]P107(f316(f54(a898),x75521))+~P107(f316(f54(a1),f316(f299(a898,a1,f90(a1)),x75521)))
% 163.96/163.64 [5572]~E(a87,x55721)+E(f316(f316(f23(a1),f316(f316(f74(a1),x55721),x55721)),a87),a87)
% 163.96/163.64 [5573]~E(x55731,a87)+E(f316(f316(f23(a1),f316(f316(f74(a1),x55731),x55731)),a87),a87)
% 163.96/163.64 [6107]E(x61071,a87)+~E(f316(f316(f23(a1),f316(f316(f74(a1),x61071),x61071)),a87),a87)
% 163.96/163.64 [6108]E(a87,x61081)+~E(f316(f316(f23(a1),f316(f316(f74(a1),x61081),x61081)),a87),a87)
% 163.96/163.64 [6527]~E(f316(f93(a898),x65271),f2(a898))+P107(f316(a183,f316(f93(a1),f316(f316(f74(a1),x65271),a87))))
% 163.96/163.64 [6887]~P107(f316(a183,f316(f93(a1),x68871)))+P107(f316(a183,f316(f93(a1),f316(f316(f74(a1),x68871),x68871))))
% 163.96/163.64 [6888]~P107(f316(f316(f224(a1),x68881),a77))+P107(f316(f316(f224(a1),f316(f316(f74(a1),x68881),x68881)),a77))
% 163.96/163.64 [6889]~P107(f316(f316(f224(a1),x68891),a87))+P107(f316(f316(f224(a1),f316(f316(f74(a1),x68891),x68891)),a87))
% 163.96/163.64 [6890]~P107(f316(f316(f225(a1),x68901),a77))+P107(f316(f316(f225(a1),f316(f316(f74(a1),x68901),x68901)),a77))
% 163.96/163.64 [6891]~P107(f316(f316(f224(a1),x68911),a87))+P107(f316(f316(f225(a1),f316(f316(f74(a1),x68911),x68911)),a87))
% 163.96/163.64 [7214]E(f316(f93(a898),x72141),f2(a898))+~P107(f316(a183,f316(f93(a1),f316(f316(f74(a1),x72141),a87))))
% 163.96/163.64 [7467]~P107(f316(f316(f224(a1),f2(a1)),f316(f93(a1),x74671)))+P107(f316(f316(f224(a1),f2(a1)),f316(f93(a1),f316(f316(f74(a1),x74671),x74671))))
% 163.96/163.64 [7468]P107(f316(a183,f316(f93(a1),x74681)))+~P107(f316(a183,f316(f93(a1),f316(f316(f74(a1),x74681),x74681))))
% 163.96/163.64 [7469]P107(f316(f316(f224(a1),x74691),a77))+~P107(f316(f316(f224(a1),f316(f316(f74(a1),x74691),x74691)),a77))
% 163.96/163.64 [7470]P107(f316(f316(f224(a1),x74701),a87))+~P107(f316(f316(f224(a1),f316(f316(f74(a1),x74701),x74701)),a87))
% 163.96/163.64 [7471]P107(f316(f316(f224(a1),x74711),a87))+~P107(f316(f316(f225(a1),f316(f316(f74(a1),x74711),x74711)),a87))
% 163.96/163.64 [7472]P107(f316(f316(f225(a1),x74721),a77))+~P107(f316(f316(f225(a1),f316(f316(f74(a1),x74721),x74721)),a77))
% 163.96/163.64 [7833]E(f316(a97,f554(x78331)),x78331)+~P107(f316(f316(f318(f905(f904(a898,a898),a895)),x78331),a88))
% 163.96/163.64 [6444]~P98(x64441)+E(f316(f93(x64441),f316(f316(f23(a1),f316(f316(f74(a1),a77),a77)),a87)),f72(x64441))
% 163.96/163.64 [6937]~P107(f316(a183,f316(f93(a1),x69371)))+E(f316(f93(a898),f316(f316(f23(a1),f316(f316(f74(a1),x69371),x69371)),a87)),f2(a898))
% 163.96/163.64 [8011]~P107(f316(f316(f225(a1),f316(f93(a1),x80111)),f2(a1)))+E(f316(f240(a1,a1),f316(a44,f43(f316(f73(a1),f72(a1)),f316(f73(a1),f316(f93(a1),x80111))))),f316(f316(f29(a1),f72(a1)),f316(f93(a1),x80111)))
% 163.96/163.64 [8024]~P107(f316(f316(f225(a1),f316(f93(a1),x80241)),f2(a1)))+E(f316(f245(a1,a1),f316(a44,f43(f316(f73(a1),f72(a1)),f316(f73(a1),f316(f93(a1),x80241))))),f38(a1,f72(a1),f316(f93(a1),x80241)))
% 163.96/163.64 [8072]~P107(f316(f316(f224(a1),a77),x80721))+P107(f316(f316(f224(a1),a77),f316(f316(f23(a1),f316(f316(f74(a1),x80721),x80721)),a87)))
% 163.96/163.64 [8073]~P107(f316(f316(f224(a1),a87),x80731))+P107(f316(f316(f224(a1),a87),f316(f316(f23(a1),f316(f316(f74(a1),x80731),x80731)),a87)))
% 163.96/163.64 [8074]~P107(f316(f316(f224(a1),a77),x80741))+P107(f316(f316(f225(a1),a77),f316(f316(f23(a1),f316(f316(f74(a1),x80741),x80741)),a87)))
% 163.96/163.64 [8075]~P107(f316(f316(f225(a1),a87),x80751))+P107(f316(f316(f225(a1),a87),f316(f316(f23(a1),f316(f316(f74(a1),x80751),x80751)),a87)))
% 163.96/163.64 [8372]~P98(x83721)+~P26(x83721,f316(f93(x83721),f316(f316(f23(a1),f316(f316(f74(a1),a77),a77)),a87)))
% 163.96/163.64 [8555]P107(f316(f316(f224(a1),a77),x85551))+~P107(f316(f316(f224(a1),a77),f316(f316(f23(a1),f316(f316(f74(a1),x85551),x85551)),a87)))
% 163.96/163.64 [8556]P107(f316(f316(f224(a1),a77),x85561))+~P107(f316(f316(f225(a1),a77),f316(f316(f23(a1),f316(f316(f74(a1),x85561),x85561)),a87)))
% 163.96/163.64 [8557]P107(f316(f316(f224(a1),a87),x85571))+~P107(f316(f316(f224(a1),a87),f316(f316(f23(a1),f316(f316(f74(a1),x85571),x85571)),a87)))
% 163.96/163.64 [8558]P107(f316(f316(f225(a1),a87),x85581))+~P107(f316(f316(f225(a1),a87),f316(f316(f23(a1),f316(f316(f74(a1),x85581),x85581)),a87)))
% 163.96/163.64 [8881]E(f316(f93(a898),f316(f316(f23(a1),f316(f316(f74(a1),x88811),x88811)),a87)),f316(f316(f80(a898,a898),f316(f93(a898),x88811)),f316(f316(f8(a898,a898,a898),a102),f316(f316(f18(a898,a898,a898),f74(a898)),f5(a898)))))+P107(f316(a183,f316(f93(a1),x88811)))
% 163.96/163.64 [9747]E(x97471,f178(f905(f904(a898,a898),a895)))+P107(f316(f316(f318(f904(f905(f904(a898,a898),a895),f905(f904(a898,a898),a895))),f316(f316(f241(f905(f904(a898,a898),a895),f905(f904(a898,a898),a895)),x97471),f178(f905(f904(a898,a898),a895)))),a62))
% 163.96/163.64 [8808]~P107(f316(a183,f316(f93(a1),x88081)))+P107(f316(a183,f316(f93(a1),f316(f316(f23(a1),f316(f316(f74(a1),x88081),x88081)),a87))))
% 163.96/163.64 [8809]~P107(f316(f316(f225(a1),x88091),a77))+P107(f316(f316(f224(a1),f316(f316(f23(a1),f316(f316(f74(a1),x88091),x88091)),a87)),a77))
% 163.96/163.64 [8810]~P107(f316(f316(f224(a1),x88101),a87))+P107(f316(f316(f224(a1),f316(f316(f23(a1),f316(f316(f74(a1),x88101),x88101)),a87)),a87))
% 163.96/163.64 [8811]~P107(f316(f316(f225(a1),x88111),a77))+P107(f316(f316(f225(a1),f316(f316(f23(a1),f316(f316(f74(a1),x88111),x88111)),a87)),a77))
% 163.96/163.64 [8812]~P107(f316(f316(f225(a1),x88121),a87))+P107(f316(f316(f225(a1),f316(f316(f23(a1),f316(f316(f74(a1),x88121),x88121)),a87)),a87))
% 163.96/163.64 [8922]~P107(f316(f316(f224(a1),f2(a1)),f316(f93(a1),x89221)))+P107(f316(f316(f224(a1),f2(a1)),f316(f93(a1),f316(f316(f23(a1),f316(f316(f74(a1),x89221),x89221)),a87))))
% 163.96/163.64 [9084]~P98(x90841)+E(f316(f316(f74(x90841),f72(x90841)),f72(x90841)),f316(f93(x90841),f316(f316(f74(a1),f316(f316(f23(a1),f316(f316(f74(a1),a77),a77)),a87)),f316(f316(f23(a1),f316(f316(f74(a1),a77),a77)),a87))))
% 163.96/163.64 [9237]P107(f316(a183,f316(f93(a1),x92371)))+~P107(f316(a183,f316(f93(a1),f316(f316(f23(a1),f316(f316(f74(a1),x92371),x92371)),a87))))
% 163.96/163.64 [9238]P107(f316(f316(f224(a1),x92381),a87))+~P107(f316(f316(f224(a1),f316(f316(f23(a1),f316(f316(f74(a1),x92381),x92381)),a87)),a87))
% 163.96/163.64 [9239]P107(f316(f316(f225(a1),x92391),a77))+~P107(f316(f316(f224(a1),f316(f316(f23(a1),f316(f316(f74(a1),x92391),x92391)),a87)),a77))
% 163.96/163.64 [9240]P107(f316(f316(f225(a1),x92401),a77))+~P107(f316(f316(f225(a1),f316(f316(f23(a1),f316(f316(f74(a1),x92401),x92401)),a87)),a77))
% 163.96/163.64 [9241]P107(f316(f316(f225(a1),x92411),a87))+~P107(f316(f316(f225(a1),f316(f316(f23(a1),f316(f316(f74(a1),x92411),x92411)),a87)),a87))
% 163.96/163.64 [9792]~P107(f316(f54(f904(a898,a898)),x97921))+P107(f316(f316(f318(f904(f905(f904(a898,a898),a895),f905(f904(a898,a898),a895))),f316(f316(f241(f905(f904(a898,a898),a895),f905(f904(a898,a898),a895)),f178(f905(f904(a898,a898),a895))),x97921)),a63))
% 163.96/163.64 [9569]~P146(x95691)+E(f316(f316(f233(x95691),f72(x95691)),f316(f93(a898),f316(f316(f74(a1),f316(f316(f23(a1),f316(f316(f74(a1),a77),a77)),a87)),f316(f316(f23(a1),f316(f316(f74(a1),a77),a77)),a87)))),f72(x95691))
% 163.96/163.64 [9570]~P146(x95701)+E(f316(f316(f233(x95701),f2(x95701)),f316(f93(a898),f316(f316(f74(a1),f316(f316(f23(a1),f316(f316(f74(a1),a77),a77)),a87)),f316(f316(f23(a1),f316(f316(f74(a1),a77),a77)),a87)))),f2(x95701))
% 163.96/163.64 [10019]~P107(f316(f316(f225(a898),f72(a898)),x100191))+P107(f316(f316(f225(a898),f2(a898)),f316(f316(f29(a898),x100191),f316(f93(a898),f316(f316(f74(a1),f316(f316(f23(a1),f316(f316(f74(a1),a77),a77)),a87)),f316(f316(f23(a1),f316(f316(f74(a1),a77),a77)),a87))))))
% 163.96/163.64 [10025]~P107(f316(f316(f225(a898),f2(a898)),x100251))+P107(f316(f316(f225(a898),f2(a898)),f316(f316(f29(a898),f316(f316(f74(a898),x100251),f72(a898))),f316(f93(a898),f316(f316(f74(a1),f316(f316(f23(a1),f316(f316(f74(a1),a77),a77)),a87)),f316(f316(f23(a1),f316(f316(f74(a1),a77),a77)),a87))))))
% 163.96/163.64 [10063]~E(f38(a898,x100631,f316(f93(a898),f316(f316(f74(a1),f316(f316(f23(a1),f316(f316(f74(a1),a77),a77)),a87)),f316(f316(f23(a1),f316(f316(f74(a1),a77),a77)),a87)))),f72(a898))+P107(f316(f316(f225(a898),f2(a898)),f38(a898,x100631,f316(f93(a898),f316(f316(f74(a1),f316(f316(f23(a1),f316(f316(f74(a1),a77),a77)),a87)),f316(f316(f23(a1),f316(f316(f74(a1),a77),a77)),a87))))))
% 163.96/163.64 [10095]E(f38(a898,x100951,f316(f93(a898),f316(f316(f74(a1),f316(f316(f23(a1),f316(f316(f74(a1),a77),a77)),a87)),f316(f316(f23(a1),f316(f316(f74(a1),a77),a77)),a87)))),f72(a898))+~P107(f316(f316(f225(a898),f2(a898)),f38(a898,x100951,f316(f93(a898),f316(f316(f74(a1),f316(f316(f23(a1),f316(f316(f74(a1),a77),a77)),a87)),f316(f316(f23(a1),f316(f316(f74(a1),a77),a77)),a87))))))
% 163.96/163.64 [4696]~P36(x46961,x46962)+P56(x46961,x46962)
% 163.96/163.64 [4697]~P42(x46971,x46972)+P56(x46971,x46972)
% 163.96/163.64 [4699]~P4(x46991,x46992)+P47(x46991,x46992)
% 163.96/163.64 [4701]~P4(x47011,x47012)+P48(x47011,x47012)
% 163.96/163.64 [4703]~P12(x47031,x47032)+P48(x47031,x47032)
% 163.96/163.64 [4705]~P4(x47051,x47052)+P49(x47051,x47052)
% 163.96/163.64 [4707]~P12(x47071,x47072)+P49(x47071,x47072)
% 163.96/163.64 [4708]~P4(x47081,x47082)+P12(x47081,x47082)
% 163.96/163.64 [4658]~E(x46581,x46582)+E(f258(x46581,x46582),f72(a89))
% 163.96/163.64 [4661]E(f206(x46611,x46612),x46611)+~E(x46612,f2(a898))
% 163.96/163.64 [4668]~E(x46682,f103(x46681))+E(f142(x46681,x46682),f103(x46681))
% 163.96/163.64 [4687]~E(f142(x46872,x46871),f103(x46872))+E(x46871,f103(x46872))
% 163.96/163.64 [4712]~P1(x47122)+P1(f905(x47121,x47122))
% 163.96/163.64 [4713]~P2(x47132)+P2(f905(x47131,x47132))
% 163.96/163.64 [4714]~P109(x47142)+P109(f905(x47141,x47142))
% 163.96/163.64 [4715]~P110(x47152)+P110(f905(x47151,x47152))
% 163.96/163.64 [4716]~P111(x47162)+P111(f905(x47161,x47162))
% 163.96/163.64 [4717]~P59(x47172)+P59(f905(x47171,x47172))
% 163.96/163.64 [4718]~P112(x47182)+P112(f905(x47181,x47182))
% 163.96/163.64 [4719]~P84(x47192)+P83(f905(x47191,x47192))
% 163.96/163.64 [4720]~P84(x47202)+P84(f905(x47201,x47202))
% 163.96/163.64 [4721]~P100(x47212)+P85(f905(x47211,x47212))
% 163.96/163.64 [4722]~P100(x47222)+P101(f905(x47221,x47222))
% 163.96/163.64 [4723]~P84(x47232)+P103(f905(x47231,x47232))
% 163.96/163.64 [4724]~P102(x47242)+P102(f905(x47241,x47242))
% 163.96/163.64 [4725]~P86(x47252)+P86(f905(x47251,x47252))
% 163.96/163.64 [4726]~P94(x47262)+P94(f905(x47261,x47262))
% 163.96/163.64 [4727]~P100(x47272)+P100(f905(x47271,x47272))
% 163.96/163.64 [4740]E(x47401,x47402)+~E(f316(a102,x47401),f316(a102,x47402))
% 163.96/163.64 [4741]E(x47411,x47412)+~E(f316(a97,x47411),f316(a97,x47412))
% 163.96/163.64 [4742]E(x47421,x47422)+~E(f316(a3,x47421),f316(a3,x47422))
% 163.96/163.64 [4744]E(x47441,x47442)+~E(f316(a20,x47441),f316(a20,x47442))
% 163.96/163.64 [4793]P38(x47931,x47932)+~E(f698(x47932,x47931),f699(x47932,x47931))
% 163.96/163.64 [4823]~P56(x48231,x48232)+P38(x48231,f296(x48231,x48232))
% 163.96/163.64 [4824]~P50(x48241,x48242)+P50(x48241,f296(x48241,x48242))
% 163.96/163.64 [4837]~P62(x48371)+E(f38(x48371,x48372,x48372),f2(x48371))
% 163.96/163.64 [4871]~P36(x48711,x48712)+P36(f899(x48711),f136(x48711,x48712))
% 163.96/163.64 [4872]~P36(x48721,x48722)+P36(f899(x48721),f135(x48721,x48722))
% 163.96/163.64 [4873]~P37(x48731,x48732)+P37(f899(x48731),f137(x48731,x48732))
% 163.96/163.64 [4874]~P37(x48741,x48742)+P37(f899(x48741),f148(x48741,x48742))
% 163.96/163.64 [4875]~P50(x48751,x48752)+P50(f899(x48751),f148(x48751,x48752))
% 163.96/163.64 [4972]~P36(x49721,x49722)+P36(f905(x49721,a895),f309(x49721,x49722))
% 163.96/163.64 [4973]~P36(x49731,x49732)+P36(f905(x49731,a895),f307(x49731,x49732))
% 163.96/163.64 [5104]~P3(x51041)+P39(f292(a1,x51041,x51042))
% 163.96/163.64 [5207]~P36(x52071,x52072)+P58(x52071,f60(x52071,x52071,x52072))
% 163.96/163.64 [5710]~P79(x57101)+P22(x57101,x57101,f73(x57101),x57102)
% 163.96/163.64 [4682]~E(x46822,f103(x46821))+E(f316(f157(x46821),x46822),f103(x46821))
% 163.96/163.64 [4683]~E(x46832,f103(x46831))+E(f316(f158(x46831),x46832),f103(x46831))
% 163.96/163.64 [4746]E(x47461,f316(a94,x47462))+~E(f316(f90(a1),x47461),x47462)
% 163.96/163.64 [4749]E(x47491,f103(x47492))+~E(f316(f157(x47492),x47491),f103(x47492))
% 163.96/163.64 [4750]E(x47501,f103(x47502))+~E(f316(f158(x47502),x47501),f103(x47502))
% 163.96/163.64 [4762]~P98(x47621)+E(f316(f93(x47621),x47622),f316(f92(x47621),x47622))
% 163.96/163.64 [4770]~P61(x47701)+P107(f316(f54(x47701),x47702))
% 163.96/163.64 [4778]~E(f658(x47782,x47781),f103(x47781))+E(f169(x47781,x47782),f103(f899(x47781)))
% 163.96/163.64 [4787]~E(x47872,f103(x47871))+E(f316(f162(x47871),x47872),f178(f905(x47871,a895)))
% 163.96/163.64 [4788]~E(x47882,f103(x47881))+E(f178(f905(x47881,a895)),f316(f162(x47881),x47882))
% 163.96/163.64 [4790]E(x47901,x47902)+~E(f316(f90(a1),x47901),f316(f90(a1),x47902))
% 163.96/163.64 [4794]E(f204(x47941,x47942),f2(a898))+P107(f316(f54(x47941),x47942))
% 163.96/163.64 [4812]~P123(x48121)+E(f76(x48121,f76(x48121,x48122)),f76(x48121,x48122))
% 163.96/163.64 [4826]~P81(x48261)+E(f316(f316(f233(x48261),x48262),f72(a898)),x48262)
% 163.96/163.64 [4827]~P117(x48271)+E(f316(f316(f233(x48271),x48272),f72(a898)),x48272)
% 163.96/163.64 [4828]~P50(x48281,x48282)+E(f316(f275(x48281,x48281),x48282),x48282)
% 163.96/163.64 [4832]E(x48321,x48322)+E(f258(x48321,x48322),f316(f316(f74(a89),x48322),f72(a89)))
% 163.96/163.64 [4835]E(f316(f28(x48351),x48352),f2(a898))+P107(f316(f54(x48351),x48352))
% 163.96/163.64 [4838]~E(f142(x48381,x48382),x48382)+P107(f316(f127(x48381),x48382))
% 163.96/163.64 [4841]~P71(x48411)+E(f316(f316(f23(x48411),x48412),f2(x48411)),x48412)
% 163.96/163.64 [4842]~P85(x48421)+E(f316(f316(f100(x48421),x48422),f178(x48421)),x48422)
% 163.96/163.64 [4843]~P101(x48431)+E(f316(f316(f91(x48431),x48432),f231(x48431)),x48432)
% 163.96/163.64 [4844]~P72(x48441)+E(f316(f316(f75(x48441),x48442),f72(x48441)),x48442)
% 163.96/163.64 [4845]~P81(x48451)+E(f316(f316(f75(x48451),x48452),f72(x48451)),x48452)
% 163.96/163.64 [4846]~P117(x48461)+E(f316(f316(f75(x48461),x48462),f72(x48461)),x48462)
% 163.96/163.64 [4847]~P117(x48471)+E(f316(f316(f74(x48471),x48472),f2(x48471)),x48472)
% 163.96/163.64 [4848]~P82(x48481)+E(f316(f316(f74(x48481),x48482),f2(x48481)),x48482)
% 163.96/163.64 [4849]~P76(x48491)+E(f316(f316(f74(x48491),x48492),f2(x48491)),x48492)
% 163.96/163.64 [4850]~P62(x48501)+E(f316(f316(f29(x48501),x48502),f72(x48501)),x48502)
% 163.96/163.64 [4851]~P120(x48511)+E(f316(f316(f280(x48511),x48512),f72(x48511)),x48512)
% 163.96/163.64 [4852]~P117(x48521)+E(f316(f316(f233(x48521),x48522),f2(a898)),f72(x48521))
% 163.96/163.64 [4853]~P116(x48531)+E(f316(f316(f233(x48531),x48532),f2(a898)),f72(x48531))
% 163.96/163.64 [4854]~E(x48542,f178(f905(x48541,a895)))+E(f316(f28(x48541),x48542),f2(a898))
% 163.96/163.64 [4865]~P62(x48651)+E(f38(x48651,x48652,f2(x48651)),x48652)
% 163.96/163.64 [4876]~P101(x48761)+E(f316(f316(f100(x48761),x48762),f231(x48761)),f231(x48761))
% 163.96/163.64 [4877]~P85(x48771)+E(f316(f316(f91(x48771),x48772),f178(x48771)),f178(x48771))
% 163.96/163.64 [4878]~P117(x48781)+E(f316(f316(f75(x48781),x48782),f2(x48781)),f2(x48781))
% 163.96/163.64 [4879]~P131(x48791)+E(f316(f316(f75(x48791),x48792),f2(x48791)),f2(x48791))
% 163.96/163.64 [4880]~P62(x48801)+E(f316(f316(f29(x48801),x48802),f2(x48801)),f2(x48801))
% 163.96/163.64 [4881]~P121(x48811)+E(f316(f316(f280(x48811),x48812),f2(x48811)),f2(x48811))
% 163.96/163.64 [4883]~P62(x48831)+E(f38(x48831,x48832,f72(x48831)),f2(x48831))
% 163.96/163.64 [4884]~P62(x48841)+E(f38(x48841,f2(x48841),x48842),f2(x48841))
% 163.96/163.64 [4913]E(x49131,f2(a898))+E(f48(x49132,x49131,f103(x49132)),f103(f899(x49132)))
% 163.96/163.64 [4936]P50(x49361,x49362)+~E(f316(f275(x49361,x49361),x49362),x49362)
% 163.96/163.64 [4937]P36(x49371,x49372)+~E(f810(x49372,x49371),f178(f905(x49371,a895)))
% 163.96/163.64 [4938]E(x49381,f103(x49382))+~E(f316(f162(x49382),x49381),f178(f905(x49382,a895)))
% 163.96/163.64 [4939]E(x49391,f103(x49392))+~E(f178(f905(x49392,a895)),f316(f162(x49392),x49391))
% 163.96/163.64 [4942]~E(x49421,x49422)+P107(f316(f316(a313,x49421),x49422))
% 163.96/163.64 [4952]P107(x49521)+P107(f316(f316(a319,x49521),x49522))
% 163.96/163.64 [4953]E(x49531,f103(x49532))+E(f316(f316(f154(x49532),x49531),f2(a898)),f316(f131(x49532),x49531))
% 163.96/163.64 [4956]E(f142(x49561,x49562),x49562)+~P107(f316(f127(x49561),x49562))
% 163.96/163.64 [4963]~P107(x49632)+P107(f316(f316(a319,x49631),x49632))
% 163.96/163.64 [4964]~P107(x49642)+P107(f316(f316(a315,x49641),x49642))
% 163.96/163.64 [4965]~P107(x49651)+P107(f316(f316(a315,x49651),x49652))
% 163.96/163.64 [4975]~E(f659(x49752,x49751),f663(x49752,x49751))+P107(f316(f127(x49751),x49752))
% 163.96/163.64 [4982]E(f316(f251(x49821),x49822),f178(f905(x49821,a895)))+P107(f316(x49822,f793(x49822)))
% 163.96/163.64 [4983]E(f178(f905(x49831,a895)),f316(f251(x49831),x49832))+P107(f316(x49832,f797(x49832)))
% 163.96/163.64 [5056]~P123(x50561)+E(f316(f316(f75(x50561),x50562),f76(x50561,x50562)),f316(f69(x50561),x50562))
% 163.96/163.64 [5068]~E(x50681,f2(a1))+E(f39(x50681,x50682),f316(f316(f241(a1,a1),f2(a1)),f2(a1)))
% 163.96/163.64 [5100]~P56(x51001,x51002)+P56(x51001,f316(f275(x51001,x51001),x51002))
% 163.96/163.64 [5101]~P37(x51011,x51012)+P37(x51011,f316(f275(x51011,x51011),x51012))
% 163.96/163.64 [5102]~P38(x51021,x51022)+P38(x51021,f316(f275(x51021,x51021),x51022))
% 163.96/163.64 [5103]~P50(x51031,x51032)+P50(x51031,f316(f275(x51031,x51031),x51032))
% 163.96/163.64 [5125]E(x51251,x51252)+~P107(f316(f316(a313,x51251),x51252))
% 163.96/163.64 [5136]P107(x51361)+~P107(f316(f316(a314,x51362),x51361))
% 163.96/163.64 [5137]P107(x51371)+~P107(f316(f316(a314,x51371),x51372))
% 163.96/163.64 [5142]~P112(x51421)+P107(f316(f316(f224(x51421),x51422),f231(x51421)))
% 163.96/163.64 [5143]~P117(x51431)+P107(f316(f316(f276(x51431),x51432),f2(x51431)))
% 163.96/163.64 [5147]E(x51471,x51472)+~E(f316(x51471,f427(x51472,x51471)),f316(x51472,f427(x51472,x51471)))
% 163.96/163.64 [5178]E(x51781,f2(a898))+E(f206(x51781,f38(a898,x51782,x51781)),f206(x51782,x51781))
% 163.96/163.64 [5183]~P108(x51831)+P10(x51831,f316(f316(f141(x51831),x51832),f103(x51831)))
% 163.96/163.64 [5185]E(x51851,f2(a1))+P107(f316(f42(x51852,x51851),f39(x51852,x51851)))
% 163.96/163.64 [5202]~P12(x52022,x52021)+P107(f316(f316(x52021,f798(x52021)),f798(x52021)))
% 163.96/163.64 [5205]~E(x52051,x52052)+P107(f316(f316(f225(a898),x52051),f316(a102,x52052)))
% 163.96/163.64 [5215]~E(x52151,f2(a898))+P107(f316(f316(f225(a898),x52151),f316(a102,x52152)))
% 163.96/163.64 [5225]P107(f316(x52251,x52252))+P107(f316(f316(f224(a1),f2(a1)),f417(x52251)))
% 163.96/163.64 [5288]P56(x52881,x52882)+~P56(x52881,f316(f275(x52881,x52881),x52882))
% 163.96/163.64 [5289]P37(x52891,x52892)+~P37(x52891,f316(f275(x52891,x52891),x52892))
% 163.96/163.64 [5290]P38(x52901,x52902)+~P38(x52901,f316(f275(x52901,x52901),x52902))
% 163.96/163.64 [5291]P50(x52911,x52912)+~P50(x52911,f316(f275(x52911,x52911),x52912))
% 163.96/163.64 [5294]~E(f38(a898,x52942,x52941),f2(a898))+E(f316(f316(f75(a898),x52941),f431(x52941,x52942)),x52942)
% 163.96/163.64 [5295]~E(f38(a1,x52952,x52951),f2(a1))+E(f316(f316(f75(a1),x52951),f428(x52951,x52952)),x52952)
% 163.96/163.64 [5322]~P107(f316(x53221,x53222))+P107(f316(f316(f224(a1),f2(a1)),f415(x53221)))
% 163.96/163.64 [5333]E(f316(f316(f23(a898),f316(a94,x53331)),f316(a94,x53332)),f316(a94,x53331))+~P107(f316(a183,x53332))
% 163.96/163.64 [5356]E(f261(x53561,x53562),f72(a89))+~P107(f316(f316(f224(a89),x53561),f72(a89)))
% 163.96/163.64 [5453]E(f316(f316(f154(x54531),x54532),f659(x54532,x54531)),f316(f316(f154(x54531),x54532),f663(x54532,x54531)))+P107(f316(f127(x54531),x54532))
% 163.96/163.64 [5497]~P107(f316(x54971,f84(x54972,x54971)))+P107(f316(x54971,f571(x54972,x54971)))
% 163.96/163.64 [5562]P58(x55621,x55622)+~P107(f316(f304(x55621,x55622),f432(x55622,x55621)))
% 163.96/163.64 [5707]~P12(x57072,x57071)+P107(f316(f316(x57071,f794(x57071,x57072)),f794(x57071,x57072)))
% 163.96/163.64 [5708]~P12(x57082,x57081)+P107(f316(f316(x57081,f799(x57081,x57082)),f799(x57081,x57082)))
% 163.96/163.64 [5717]~E(f316(a102,f38(a898,x57171,x57172)),x57172)+E(f38(a898,f316(a102,x57171),x57172),f2(a898))
% 163.96/163.64 [5772]P36(x57721,x57722)+P107(f316(f316(f318(x57721),f885(x57722,x57721)),f886(x57722,x57721)))
% 163.96/163.64 [5779]~P141(x57791)+P107(f316(f316(f318(x57791),f316(f90(x57791),x57792)),f99(x57791)))
% 163.96/163.64 [5780]~P146(x57801)+P107(f316(f316(f318(x57801),f316(f90(x57801),x57802)),f176(x57801)))
% 163.96/163.64 [5781]~P141(x57811)+P107(f316(f316(f318(x57811),f316(f92(x57811),x57812)),f99(x57811)))
% 163.96/163.64 [5782]~P98(x57821)+P107(f316(f316(f318(x57821),f316(f93(x57821),x57822)),f99(x57821)))
% 163.96/163.64 [5926]~P37(x59261,x59262)+E(f316(f316(f278(x59261,x59261,x59261),x59262),f296(x59261,x59262)),x59262)
% 163.96/163.64 [5940]E(f316(a102,f38(a898,x59401,x59402)),x59402)+E(f38(a898,f316(a102,x59401),x59402),f316(a102,f38(a898,x59401,x59402)))
% 163.96/163.64 [6369]P36(x63691,x63692)+~P107(f316(f316(f318(x63691),f529(x63692,x63691)),f305(x63691,x63692)))
% 163.96/163.64 [6407]~P126(x64071)+~P107(f316(f316(f225(x64071),f316(f90(x64071),x64072)),f2(x64071)))
% 163.96/163.64 [6408]~P89(x64081)+~P107(f316(f316(f225(x64081),f316(f69(x64081),x64082)),f2(x64081)))
% 163.96/163.64 [6498]P107(f316(f316(f225(a1),x64981),f38(a1,x64982,x64981)))+~P107(f316(f316(f225(a1),x64981),f2(a1)))
% 163.96/163.64 [6603]E(f316(f316(f298(a898),f316(a102,x66031)),f292(a898,x66032,x66031)),f292(a898,x66032,f316(a102,x66031)))+~P107(f316(f316(f224(a898),x66032),f316(a102,x66031)))
% 163.96/163.64 [6695]~P108(x66951)+P10(x66951,f140(x66951,x66951,f5(x66951),x66952))
% 163.96/163.64 [6827]E(f316(f157(x68271),x68272),x68272)+~P107(f316(f316(f224(a898),f316(f179(f899(x68271)),x68272)),f72(a898)))
% 163.96/163.64 [6849]~P89(x68491)+P107(f316(f316(f224(x68491),f316(f73(x68491),f316(f69(x68491),x68492))),f2(x68491)))
% 163.96/163.64 [6883]~P36(x68831,x68832)+P36(x68831,f316(f316(f278(x68831,x68831,x68831),x68832),f296(x68831,x68832)))
% 163.96/163.64 [6884]~P50(x68841,x68842)+P50(x68841,f316(f316(f278(x68841,x68841,x68841),x68842),f296(x68841,x68842)))
% 163.96/163.64 [7107]~P107(f316(f316(f225(a1),x71072),f2(a1)))+P107(f316(f316(f224(a1),f38(a1,x71071,x71072)),f2(a1)))
% 163.96/163.64 [7509]~P146(x75091)+E(f180(x75091,f316(f316(f7(x75091,x75091,x75091),f74(x75091)),f72(x75091)),x75092,f2(x75091)),f316(f90(x75091),x75092))
% 163.96/163.64 [7538]~P127(x75381)+~P107(f316(f316(f225(x75381),f316(f316(f75(x75381),x75382),x75382)),f2(x75381)))
% 163.96/163.64 [10187]~P123(x101871)+~P107(f316(f316(f225(x101871),f316(f316(f233(x101871),x101872),f316(f93(a898),f316(f316(f74(a1),f316(f316(f23(a1),f316(f316(f74(a1),a77),a77)),a87)),f316(f316(f23(a1),f316(f316(f74(a1),a77),a77)),a87))))),f2(x101871)))
% 163.96/163.64 [4747]~E(x47472,f103(x47471))+E(f316(f179(f899(x47471)),x47472),f2(a898))
% 163.96/163.64 [4779]~E(x47791,f2(a898))+E(f316(f316(f74(a898),x47791),x47792),x47792)
% 163.96/163.64 [4780]~E(x47802,f2(a898))+E(f316(f316(f75(a898),x47801),x47802),f2(a898))
% 163.96/163.64 [4782]~E(x47821,f2(a898))+E(f316(f316(f75(a898),x47821),x47822),f2(a898))
% 163.96/163.64 [4783]~E(x47832,f2(a898))+E(f316(f316(f233(a898),x47831),x47832),f72(a898))
% 163.96/163.64 [4784]~E(x47842,f2(a1))+E(f316(f316(f29(a1),x47841),x47842),f2(a1))
% 163.96/163.64 [4795]E(x47951,f103(x47952))+~E(f316(f179(f899(x47952)),x47951),f2(a898))
% 163.96/163.64 [4797]~P83(x47971)+E(f316(f316(f100(x47971),x47972),x47972),x47972)
% 163.96/163.64 [4798]~P84(x47981)+E(f316(f316(f100(x47981),x47982),x47982),x47982)
% 163.96/163.64 [4799]~P84(x47991)+E(f316(f316(f91(x47991),x47992),x47992),x47992)
% 163.96/163.64 [4801]~P103(x48011)+E(f316(f316(f91(x48011),x48012),x48012),x48012)
% 163.96/163.64 [4803]~P99(x48031)+E(f316(f316(f75(x48031),x48032),x48032),x48032)
% 163.96/163.64 [4805]~P108(x48051)+E(f316(f316(f222(x48051),x48052),x48052),x48052)
% 163.96/163.64 [4807]~P108(x48071)+E(f316(f316(f223(x48071),x48072),x48072),x48072)
% 163.96/163.64 [4825]~P71(x48251)+E(f316(f316(f23(x48251),x48252),x48252),f2(x48251))
% 163.96/163.64 [4839]~P71(x48391)+E(f316(f73(x48391),f316(f73(x48391),x48392)),x48392)
% 163.96/163.64 [4840]~P94(x48401)+E(f316(f73(x48401),f316(f73(x48401),x48402)),x48402)
% 163.96/163.64 [4857]~E(x48572,f2(a898))+E(f316(f316(f233(a898),x48571),x48572),f316(a102,f2(a898)))
% 163.96/163.64 [4892]~P85(x48921)+E(f316(f316(f100(x48921),f178(x48921)),x48922),x48922)
% 163.96/163.64 [4893]~P101(x48931)+E(f316(f316(f91(x48931),f231(x48931)),x48932),x48932)
% 163.96/163.64 [4894]~P72(x48941)+E(f316(f316(f75(x48941),f72(x48941)),x48942),x48942)
% 163.96/163.64 [4895]~P81(x48951)+E(f316(f316(f75(x48951),f72(x48951)),x48952),x48952)
% 163.96/163.64 [4896]~P117(x48961)+E(f316(f316(f75(x48961),f72(x48961)),x48962),x48962)
% 163.96/163.64 [4897]~P117(x48971)+E(f316(f316(f74(x48971),f2(x48971)),x48972),x48972)
% 163.96/163.64 [4898]~P82(x48981)+E(f316(f316(f74(x48981),f2(x48981)),x48982),x48982)
% 163.96/163.64 [4899]~P76(x48991)+E(f316(f316(f74(x48991),f2(x48991)),x48992),x48992)
% 163.96/163.64 [4917]~P101(x49171)+E(f316(f316(f100(x49171),f231(x49171)),x49172),f231(x49171))
% 163.96/163.64 [4918]~P85(x49181)+E(f316(f316(f91(x49181),f178(x49181)),x49182),f178(x49181))
% 163.96/163.64 [4919]~P117(x49191)+E(f316(f316(f75(x49191),f2(x49191)),x49192),f2(x49191))
% 163.96/163.64 [4920]~P131(x49201)+E(f316(f316(f75(x49201),f2(x49201)),x49202),f2(x49201))
% 163.96/163.64 [4921]~P81(x49211)+E(f316(f316(f233(x49211),f72(x49211)),x49212),f72(x49211))
% 163.96/163.64 [4922]~P62(x49221)+E(f316(f316(f29(x49221),f2(x49221)),x49222),f2(x49221))
% 163.96/163.64 [4923]~P120(x49231)+E(f316(f316(f280(x49231),f2(x49231)),x49232),f2(x49231))
% 163.96/163.64 [4931]E(x49311,f103(x49312))+E(f134(x49312,f316(f158(x49312),x49311)),f316(f131(x49312),x49311))
% 163.96/163.64 [4932]E(x49321,f103(x49322))+E(f316(f131(x49322),f316(f158(x49322),x49321)),f134(x49322,x49321))
% 163.96/163.64 [4933]E(x49331,f2(a898))+~E(f316(f316(f74(a898),x49332),x49331),x49332)
% 163.96/163.64 [4940]~P141(x49401)+E(f316(f92(x49401),f316(f90(a1),x49402)),f316(f90(x49401),x49402))
% 163.96/163.64 [4941]~P98(x49411)+E(f316(f92(x49411),f316(f93(a1),x49412)),f316(f93(x49411),x49412))
% 163.96/163.64 [4948]E(x49481,f72(a898))+~E(f316(f316(f75(a898),x49482),x49481),f72(a898))
% 163.96/163.64 [4949]E(x49491,f72(a898))+~E(f316(f316(f75(a898),x49491),x49492),f72(a898))
% 163.96/163.64 [4950]E(x49501,f2(a898))+~E(f316(f316(f74(a898),x49502),x49501),f2(a898))
% 163.96/163.64 [4951]E(x49511,f2(a898))+~E(f316(f316(f74(a898),x49511),x49512),f2(a898))
% 163.96/163.64 [4968]~P89(x49681)+E(f316(f69(x49681),f316(f73(x49681),x49682)),f316(f69(x49681),x49682))
% 163.96/163.64 [4969]~P123(x49691)+E(f316(f69(x49691),f316(f90(x49691),x49692)),f316(f90(x49691),x49692))
% 163.96/163.64 [4970]~P89(x49701)+E(f316(f69(x49701),f316(f69(x49701),x49702)),f316(f69(x49701),x49702))
% 163.96/163.64 [4971]~P76(x49711)+E(f316(f155(x49711),f316(f158(x49711),x49712)),f316(f155(x49711),x49712))
% 163.96/163.64 [4976]~E(x49761,f316(a102,f2(a898)))+E(f316(f316(f233(a898),x49761),x49762),f316(a102,f2(a898)))
% 163.96/163.64 [4985]~P71(x49851)+E(f316(f316(f23(x49851),f2(x49851)),x49852),f316(f73(x49851),x49852))
% 163.96/163.64 [4986]~E(x49862,f2(a898))+E(f129(a898,f316(f291(a898,x49861),x49862)),f103(a898))
% 163.96/163.64 [4995]~P98(x49951)+E(f316(f316(f74(x49951),x49952),f316(f93(x49951),a77)),x49952)
% 163.96/163.64 [4996]E(x49961,f2(a1))+E(f40(f316(f69(a1),x49962),f316(f69(a1),x49961)),f46(x49962,x49961))
% 163.96/163.64 [5012]~E(x50121,x50122)+P107(f316(f316(f224(a898),x50121),x50122))
% 163.96/163.64 [5016]~E(x50161,x50162)+P107(f316(f316(f276(a898),x50161),x50162))
% 163.96/163.64 [5023]~E(x50231,f2(a89))+E(f316(f316(f74(a898),f316(a20,x50231)),x50232),x50232)
% 163.96/163.64 [5024]~E(f316(f93(a1),x50242),f316(f90(a1),x50241))+E(x50241,f316(a94,f316(f93(a1),x50242)))
% 163.96/163.64 [5037]~P3(x50371)+P3(f316(f316(f233(a1),x50371),x50372))
% 163.96/163.64 [5038]~P94(x50381)+E(f316(f316(f100(x50381),x50382),f316(f73(x50381),x50382)),f231(x50381))
% 163.96/163.64 [5039]~P94(x50391)+E(f316(f316(f91(x50391),x50392),f316(f73(x50391),x50392)),f178(x50391))
% 163.96/163.64 [5040]~P71(x50401)+E(f316(f316(f74(x50401),x50402),f316(f73(x50401),x50402)),f2(x50401))
% 163.96/163.64 [5065]E(x50651,f2(a898))+~E(f316(f73(a1),f316(f90(a1),x50652)),f316(f90(a1),x50651))
% 163.96/163.64 [5066]E(x50661,f2(a898))+~E(f316(f73(a1),f316(f90(a1),x50661)),f316(f90(a1),x50662))
% 163.96/163.64 [5076]E(f184(x50761,x50762),f2(a1))+P107(f316(f316(f224(a1),x50762),x50761))
% 163.96/163.64 [5077]E(f168(x50771,x50772),f103(a1))+P107(f316(f316(f224(a1),x50771),x50772))
% 163.96/163.64 [5078]E(f230(x50781,x50782),f2(a89))+P107(f316(f316(f225(a89),x50781),x50782))
% 163.96/163.64 [5091]E(x50911,f316(a102,f2(a898)))+~E(f316(f316(f75(a898),x50912),x50911),f316(a102,f2(a898)))
% 163.96/163.64 [5092]E(x50921,f316(a102,f2(a898)))+~E(f316(f316(f75(a898),x50921),x50922),f316(a102,f2(a898)))
% 163.96/163.64 [5093]~P109(x50931)+P107(f316(f316(f224(x50931),x50932),x50932))
% 163.96/163.64 [5094]~P117(x50941)+P107(f316(f316(f276(x50941),x50942),x50942))
% 163.96/163.64 [5097]~P98(x50971)+E(f316(f316(f75(x50971),x50972),f316(f93(x50971),a87)),f316(f73(x50971),x50972))
% 163.96/163.64 [5117]~P141(x51171)+E(f316(f73(x51171),f316(f92(x51171),x51172)),f316(f92(x51171),f316(f73(a1),x51172)))
% 163.96/163.64 [5118]~P98(x51181)+E(f316(f73(x51181),f316(f93(x51181),x51182)),f316(f93(x51181),f316(f73(a1),x51182)))
% 163.96/163.64 [5148]~E(x51481,f316(a102,x51482))+P107(f316(f316(f225(a898),f2(a898)),x51481))
% 163.96/163.64 [5166]~P108(x51661)+E(f316(f73(f905(x51661,a895)),f316(f271(x51661),x51662)),f316(f272(x51661),x51662))
% 163.96/163.64 [5167]~P108(x51671)+E(f316(f73(f905(x51671,a895)),f316(f290(x51671),x51672)),f316(f293(x51671),x51672))
% 163.96/163.64 [5168]~P108(x51681)+E(f316(f73(f905(x51681,a895)),f316(f293(x51681),x51682)),f316(f290(x51681),x51682))
% 163.96/163.64 [5169]~P108(x51691)+E(f316(f73(f905(x51691,a895)),f316(f272(x51691),x51692)),f316(f271(x51691),x51692))
% 163.96/163.64 [5177]~E(f316(f90(a1),x51772),x51771)+P107(f316(f316(f224(a1),f2(a1)),x51771))
% 163.96/163.64 [5184]~E(x51842,f2(a1))+E(f46(x51841,x51842),f316(f316(f241(a1,a1),f2(a1)),f316(f69(a1),x51841)))
% 163.96/163.64 [5186]~P1(x51861)+P107(f316(f316(f224(x51861),f178(x51861)),x51862))
% 163.96/163.64 [5187]~P117(x51871)+P107(f316(f316(f276(x51871),f72(x51871)),x51872))
% 163.96/163.64 [5220]E(x52201,x52202)+~E(f316(f316(f74(a1),x52201),x52201),f316(f316(f74(a1),x52202),x52202))
% 163.96/163.64 [5224]~P107(f316(x52241,x52242))+P107(f316(x52241,f316(a94,f415(x52241))))
% 163.96/163.64 [5250]~P123(x52501)+E(f316(f316(f75(x52501),f76(x52501,x52502)),f316(f69(x52501),x52502)),x52502)
% 163.96/163.64 [5257]~E(x52572,f2(a898))+E(f79(f904(a898,a898),f41(x52571,x52572)),f316(f316(f241(a898,a898),f2(a898)),x52571))
% 163.96/163.64 [5262]~E(x52621,x52622)+~P107(f316(f316(f225(a898),x52621),x52622))
% 163.96/163.64 [5263]~E(x52631,x52632)+~P107(f316(f316(f225(a1),x52631),x52632))
% 163.96/163.64 [5266]~P146(x52661)+E(f316(f316(f74(x52661),f72(x52661)),f316(f90(x52661),x52662)),f316(f90(x52661),f316(a102,x52662)))
% 163.96/163.64 [5270]~E(x52701,f2(a898))+~P107(f316(f316(f225(a898),x52702),x52701))
% 163.96/163.64 [5284]E(f142(x52841,x52842),x52842)+~E(f316(f179(f899(x52841)),f142(x52841,x52842)),f316(f179(f899(x52841)),x52842))
% 163.96/163.64 [5285]E(f316(f28(x52851),f316(f162(x52851),x52852)),f316(f179(f899(x52851)),x52852))+~P107(f316(f127(x52851),x52852))
% 163.96/163.64 [5299]~P107(f316(x52991,f421(x52991)))+P107(f316(x52991,f316(f90(a1),x52992)))
% 163.96/163.64 [5310]E(f230(x53101,x53102),x53102)+~P107(f316(f316(f225(a89),x53101),x53102))
% 163.96/163.64 [5312]E(f261(x53121,x53122),f72(a89))+~P107(f316(f316(f225(a89),x53122),x53121))
% 163.96/163.64 [5313]E(f168(x53131,x53132),f103(a1))+~P107(f316(f316(f225(a1),x53132),x53131))
% 163.96/163.64 [5314]E(f118(x53141,x53142),f105(a1))+~P107(f316(f316(f225(a1),x53141),x53142))
% 163.96/163.64 [5316]~P111(x53161)+E(f292(x53161,x53162,x53162),f316(f316(f298(x53161),x53162),f178(f905(x53161,a895))))
% 163.96/163.64 [5336]~E(f316(f316(f23(a898),x53361),x53362),f2(a898))+P107(f316(f316(f224(a898),x53361),x53362))
% 163.96/163.64 [5353]~E(x53532,f2(a898))+E(f48(x53531,x53532,f103(x53531)),f316(f316(f141(f899(x53531)),f103(x53531)),f103(f899(x53531))))
% 163.96/163.64 [5357]~P109(x53571)+~P107(f316(f316(f225(x53571),x53572),x53572))
% 163.96/163.64 [5359]~E(f38(a1,x53591,x53592),f2(a1))+E(f38(a1,x53591,f316(f73(a1),x53592)),f2(a1))
% 163.96/163.64 [5361]~E(f38(a1,x53611,x53612),f2(a1))+E(f38(a1,f316(f73(a1),x53611),x53612),f2(a1))
% 163.96/163.64 [5369]E(f316(f291(a898,x53691),f316(a102,x53692)),f178(f905(a898,a895)))+P107(f316(f316(f224(a898),x53691),x53692))
% 163.96/163.64 [5393]E(f129(a898,f316(f291(a898,x53931),x53932)),f103(a898))+P107(f316(f316(f225(a898),x53931),x53932))
% 163.96/163.64 [5398]~E(f316(f28(x53981),f316(f162(x53981),x53982)),f316(f179(f899(x53981)),x53982))+P107(f316(f127(x53981),x53982))
% 163.96/163.64 [5402]~P107(f316(f127(x54021),x54022))+P107(f316(f127(x54021),f316(f157(x54021),x54022)))
% 163.96/163.64 [5403]~P107(f316(f127(x54031),x54032))+P107(f316(f127(x54031),f316(f161(x54031),x54032)))
% 163.96/163.64 [5404]~P107(f316(f127(x54041),x54042))+P107(f316(f127(x54041),f316(f158(x54041),x54042)))
% 163.96/163.64 [5412]P107(f316(x54121,x54122))+~P107(f316(x54121,f316(a94,f417(x54121))))
% 163.96/163.64 [5413]P107(f316(f316(f224(a898),x54132),x54131))+P107(f316(f316(f224(a898),x54131),x54132))
% 163.96/163.64 [5414]P107(f316(f316(f224(a1),x54142),x54141))+P107(f316(f316(f224(a1),x54141),x54142))
% 163.96/163.64 [5418]~P89(x54181)+P107(f316(f316(f224(x54181),x54182),f316(f69(x54181),x54182)))
% 163.96/163.64 [5421]P107(f316(x54211,f422(x54211)))+~P107(f316(x54211,f316(f90(a1),x54212)))
% 163.96/163.64 [5445]E(f316(f316(f23(a898),x54451),x54452),f2(a898))+~P107(f316(f316(f224(a898),x54451),x54452))
% 163.96/163.64 [5446]E(f316(f316(f29(a898),x54461),x54462),f2(a898))+~P107(f316(f316(f225(a898),x54461),x54462))
% 163.96/163.64 [5465]E(f38(a898,x54651,x54652),x54651)+~P107(f316(f316(f225(a898),x54651),x54652))
% 163.96/163.64 [5473]E(f38(a1,x54731,f316(f73(a1),x54732)),f281(x54731,x54732))+P107(f316(f316(f224(a1),f2(a1)),x54732))
% 163.96/163.64 [5486]E(f316(f316(f23(a1),x54861),x54862),f184(x54861,x54862))+~P107(f316(f316(f224(a1),x54862),x54861))
% 163.96/163.64 [5506]P107(f316(f316(f224(a1),f2(a1)),f421(x55061)))+P107(f316(x55061,f316(f90(a1),x55062)))
% 163.96/163.64 [5519]~P126(x55191)+P107(f316(f316(f224(x55191),f2(x55191)),f316(f90(x55191),x55192)))
% 163.96/163.64 [5520]~P89(x55201)+P107(f316(f316(f224(x55201),f2(x55201)),f316(f69(x55201),x55202)))
% 163.96/163.64 [5548]E(f316(f316(f74(a898),x55481),f322(x55482,x55481)),x55482)+~P107(f316(f316(f224(a898),x55481),x55482))
% 163.96/163.64 [5560]~E(f316(f93(a1),x55601),f316(f90(a1),x55602))+P107(f316(f316(f224(a1),f2(a1)),f316(f93(a1),x55601)))
% 163.96/163.64 [5563]E(f292(a1,x55631,x55632),f178(f905(a1,a895)))+~P107(f316(f316(f225(a1),x55632),x55631))
% 163.96/163.64 [5566]~P123(x55661)+E(f316(f316(f75(x55661),f316(f69(x55661),x55662)),f316(f69(x55661),x55662)),f316(f316(f75(x55661),x55662),x55662))
% 163.96/163.64 [5571]E(f129(a898,f316(f291(a898,x55711),f316(a102,x55712))),f103(a898))+P107(f316(f316(f224(a898),x55711),x55712))
% 163.96/163.64 [5575]E(f316(f316(f29(a1),x55751),x55752),f282(x55751,x55752))+~P107(f316(f316(f224(a1),f2(a1)),x55752))
% 163.96/163.64 [5595]P107(f316(f127(x55951),x55952))+~P107(f316(f127(x55951),f316(f157(x55951),x55952)))
% 163.96/163.64 [5596]P107(f316(f127(x55961),x55962))+~P107(f316(f127(x55961),f316(f158(x55961),x55962)))
% 163.96/163.64 [5623]P107(f316(f54(a898),x56231))+P107(f316(f316(f318(a898),f323(x56231,x56232)),x56231))
% 163.96/163.64 [5624]P107(f316(f54(a898),x56241))+P107(f316(f316(f318(a898),f347(x56241,x56242)),x56241))
% 163.96/163.64 [5627]P107(f316(f316(f225(a898),x56272),f316(a102,x56271)))+P107(f316(f316(f225(a898),x56271),x56272))
% 163.96/163.64 [5628]E(f38(a1,x56281,x56282),f281(x56281,x56282))+~P107(f316(f316(f224(a1),f2(a1)),x56282))
% 163.96/163.64 [5631]E(f129(a898,f316(f291(a898,x56311),x56312)),f103(a898))+~P107(f316(f316(f224(a898),x56312),x56311))
% 163.96/163.64 [5632]~P79(x56321)+E(f316(f299(x56321,x56321,f73(x56321)),f316(f271(x56321),x56322)),f316(f293(x56321),f316(f73(x56321),x56322)))
% 163.96/163.64 [5633]~P79(x56331)+E(f316(f299(x56331,x56331,f73(x56331)),f316(f290(x56331),x56332)),f316(f272(x56331),f316(f73(x56331),x56332)))
% 163.96/163.64 [5634]~P79(x56341)+E(f316(f299(x56341,x56341,f73(x56341)),f316(f293(x56341),x56342)),f316(f271(x56341),f316(f73(x56341),x56342)))
% 163.96/163.64 [5635]~P79(x56351)+E(f316(f299(x56351,x56351,f73(x56351)),f316(f272(x56351),x56352)),f316(f290(x56351),f316(f73(x56351),x56352)))
% 163.96/163.64 [5646]E(x56461,f178(f905(x56462,a895)))+P107(f316(f316(f318(x56462),f442(x56461,x56462)),x56461))
% 163.96/163.64 [5647]E(x56471,f178(f905(x56472,a895)))+P107(f316(f316(f318(x56472),f443(x56471,x56472)),x56471))
% 163.96/163.64 [5658]~P107(f316(f316(f225(a898),x56581),x56582))+P107(f316(f316(f224(a898),x56581),x56582))
% 163.96/163.64 [5659]~P107(f316(f316(f225(a1),x56591),x56592))+P107(f316(f316(f224(a1),x56591),x56592))
% 163.96/163.64 [5675]E(f40(x56751,x56752),f316(f316(f241(a1,a1),f2(a1)),x56751))+~P107(f316(f316(f225(a1),x56751),x56752))
% 163.96/163.64 [5677]E(f205(f316(f73(a1),x56771),f316(f73(a1),x56772)),f205(x56771,x56772))+~P107(f316(f316(f225(a1),x56772),f2(a1)))
% 163.96/163.64 [5689]E(x56891,x56892)+~E(f316(a3,f316(a102,f316(a20,x56891))),f316(a3,f316(a102,f316(a20,x56892))))
% 163.96/163.64 [5694]E(f40(x56941,x56942),f316(f316(f241(a1,a1),f2(a1)),x56941))+~P107(f316(f316(f224(a1),x56942),f2(a1)))
% 163.96/163.64 [5723]E(f38(a898,f316(f93(a898),x57231),f316(f93(a898),x57232)),f2(a898))+~P107(f316(a183,f316(f93(a1),x57231)))
% 163.96/163.64 [5737]P107(f316(f316(f224(a1),f2(a1)),f422(x57371)))+~P107(f316(x57371,f316(f90(a1),x57372)))
% 163.96/163.64 [5770]P39(f292(a1,x57701,x57702))+~P107(f316(f316(f224(a1),f2(a1)),x57701))
% 163.96/163.64 [5775]~P107(f316(f54(x57751),x57752))+P107(f316(f54(f905(x57751,a895)),f316(f297(x57751),x57752)))
% 163.96/163.64 [5788]E(f316(f316(f74(a1),x57881),f316(f90(a1),f424(x57882,x57881))),x57882)+~P107(f316(f316(f224(a1),x57881),x57882))
% 163.96/163.64 [5796]P107(f316(f316(f224(a898),x57961),x57962))+P107(f316(f316(f224(a898),f316(a102,x57962)),x57961))
% 163.96/163.64 [5840]E(f316(f316(f29(a898),f316(f93(a898),x58401)),f316(f93(a898),x58402)),f2(a898))+~P107(f316(a183,f316(f93(a1),x58401)))
% 163.96/163.64 [5841]E(f316(f316(f75(a898),f316(f93(a898),x58411)),f316(f93(a898),x58412)),f2(a898))+~P107(f316(f316(f225(a1),x58411),a77))
% 163.96/163.64 [5843]P107(f316(f316(f224(a898),x58431),f316(a102,x58432)))+~P107(f316(f316(f224(a898),x58431),x58432))
% 163.96/163.64 [5845]P107(f316(f316(f225(a898),x58451),f316(a102,x58452)))+~P107(f316(f316(f224(a898),x58451),x58452))
% 163.96/163.64 [5847]P107(f316(f316(f225(a898),x58471),f316(a102,x58472)))+~P107(f316(f316(f225(a898),x58471),x58472))
% 163.96/163.64 [5850]~E(x58501,x58502)+P107(f316(f316(f225(a1),x58501),f316(f316(f74(a1),x58502),f72(a1))))
% 163.96/163.64 [5853]E(f38(a1,x58531,x58532),f2(a1))+E(f316(f316(f23(a1),x58532),f38(a1,x58531,x58532)),f38(a1,f316(f73(a1),x58531),x58532))
% 163.96/163.64 [5862]E(x58621,f103(x58622))+P107(f316(f316(f318(x58622),f134(x58622,x58621)),f316(f162(x58622),x58621)))
% 163.96/163.64 [5874]E(f79(f904(a898,a898),f41(x58741,x58742)),f316(f316(f241(a898,a898),f2(a898)),x58741))+~P107(f316(f316(f225(a898),x58741),x58742))
% 163.96/163.64 [5919]E(f316(f316(f23(a898),f316(f93(a898),x59191)),f316(f93(a898),x59192)),f316(f93(a898),x59191))+~P107(f316(f316(f225(a1),x59192),a77))
% 163.96/163.64 [5920]E(f316(f316(f74(a898),f316(f93(a898),x59201)),f316(f93(a898),x59202)),f316(f93(a898),x59202))+~P107(f316(f316(f225(a1),x59201),a77))
% 163.96/163.64 [5927]E(f316(a102,f316(f316(f74(a898),x59271),f366(x59272,x59271))),x59272)+~P107(f316(f316(f225(a898),x59271),x59272))
% 163.96/163.64 [5951]P107(f316(x59511,x59512))+~P107(f316(x59511,f316(a83,f572(x59512,x59511))))
% 163.96/163.64 [5952]P107(f316(x59521,x59522))+~P107(f316(x59521,f316(a3,f814(x59522,x59521))))
% 163.96/163.64 [5961]~P107(f316(f316(f225(a898),x59611),f316(a102,x59612)))+P107(f316(f316(f224(a898),x59611),x59612))
% 163.96/163.64 [6010]E(f316(f316(f298(a898),x60101),f316(f291(a898,x60102),x60101)),f316(f291(a898,x60102),f316(a102,x60101)))+~P107(f316(f316(f224(a898),x60102),x60101))
% 163.96/163.64 [6012]E(x60121,f103(x60122))+E(f316(f316(f124(x60122),f104(x60122,x60121)),f316(f316(f141(x60122),f134(x60122,x60121)),f103(x60122))),x60121)
% 163.96/163.64 [6029]P107(f316(f54(x60291),x60292))+~P107(f316(f316(f225(a898),f2(a898)),f316(f28(x60291),x60292)))
% 163.96/163.64 [6033]~E(x60331,f178(f905(x60332,a895)))+~P107(f316(f316(f225(a898),f2(a898)),f316(f28(x60332),x60331)))
% 163.96/163.64 [6045]~P107(f316(f316(f225(a898),x60451),x60452))+P107(f316(f316(f224(a898),f316(a102,x60451)),x60452))
% 163.96/163.64 [6049]~P108(x60491)+E(f140(x60491,x60491,f5(x60491),f142(x60491,x60492)),f129(x60491,f316(f162(x60491),x60492)))
% 163.96/163.64 [6052]E(x60521,f103(x60522))+P107(f316(f316(f318(x60522),f316(f131(x60522),x60521)),f316(f162(x60522),x60521)))
% 163.96/163.64 [6058]~P126(x60581)+P107(f316(f316(f225(x60581),x60582),f316(f316(f74(x60581),x60582),f72(x60581))))
% 163.96/163.64 [6060]~P89(x60601)+P107(f316(f316(f224(x60601),f316(f73(x60601),x60602)),f316(f69(x60601),x60602)))
% 163.96/163.64 [6074]~E(x60741,x60742)+E(f279(a898,f276(a898),x60741,x60742),f316(f316(f298(a898),x60741),f178(f905(a898,a895))))
% 163.96/163.64 [6092]P107(f316(f54(a898),x60921))+~P107(f316(f316(f224(a898),f347(x60921,x60922)),x60922))
% 163.96/163.64 [6093]P107(f316(f54(a898),x60931))+~P107(f316(f316(f225(a898),f323(x60931,x60932)),x60932))
% 163.96/163.64 [6096]~P107(f316(f54(f904(x60961,x60961)),x60962))+P107(f316(f54(x60961),f316(f270(x60961),x60962)))
% 163.96/163.64 [6152]E(f279(a898,f276(a898),x61521,x61522),f178(f905(a898,a895)))+P107(f316(f316(f276(a898),x61521),x61522))
% 163.96/163.64 [6155]~P107(f316(f316(f225(a898),x61552),f316(a102,x61551)))+~P107(f316(f316(f225(a898),x61551),x61552))
% 163.96/163.64 [6156]~P111(x61561)+E(f316(f316(f91(f905(x61561,a895)),f316(f290(x61561),x61562)),f316(f272(x61561),x61562)),f316(f316(f298(x61561),x61562),f178(f905(x61561,a895))))
% 163.96/163.64 [6168]P107(f316(f54(x61681),x61682))+~P107(f316(f54(f905(x61681,a895)),f316(f297(x61681),x61682)))
% 163.96/163.64 [6191]P107(f316(f316(f224(a898),f316(a102,x61911)),f316(a102,x61912)))+~P107(f316(f316(f224(a898),x61911),x61912))
% 163.96/163.64 [6192]P107(f316(f316(f224(a898),f316(a20,x61921)),f316(a20,x61922)))+~P107(f316(f316(f224(a89),x61921),x61922))
% 163.96/163.64 [6193]P107(f316(f316(f224(a89),f316(a3,x61931)),f316(a3,x61932)))+~P107(f316(f316(f224(a898),x61931),x61932))
% 163.96/163.64 [6195]P107(f316(f316(f225(a898),f316(a102,x61951)),f316(a102,x61952)))+~P107(f316(f316(f225(a898),x61951),x61952))
% 163.96/163.64 [6196]P107(f316(f316(f225(a898),f316(a20,x61961)),f316(a20,x61962)))+~P107(f316(f316(f225(a89),x61961),x61962))
% 163.96/163.64 [6197]P107(f316(f316(f225(a89),f316(a3,x61971)),f316(a3,x61972)))+~P107(f316(f316(f225(a898),x61971),x61972))
% 163.96/163.64 [6202]E(x62021,x62022)+~E(f316(f299(a898,a1,f90(a1)),x62021),f316(f299(a898,a1,f90(a1)),x62022))
% 163.96/163.64 [6218]P107(f316(f316(f224(a898),x62181),x62182))+~P107(f316(f316(f224(a898),f316(a102,x62181)),x62182))
% 163.96/163.64 [6221]P107(f316(f316(f225(a898),x62211),x62212))+~P107(f316(f316(f224(a898),f316(a102,x62211)),x62212))
% 163.96/163.64 [6222]P107(f316(f316(f225(a898),x62221),x62222))+~P107(f316(f316(f225(a898),f316(a102,x62221)),x62222))
% 163.96/163.64 [6242]E(f38(a1,x62421,x62422),f2(a1))+E(f316(f316(f23(a1),f38(a1,x62421,x62422)),x62422),f38(a1,x62421,f316(f73(a1),x62422)))
% 163.96/163.64 [6309]E(f316(f28(f905(x63091,a895)),f316(f297(x63091),x63092)),f316(f316(f233(a898),f316(a102,f316(a102,f2(a898)))),f316(f28(x63091),x63092)))+~P107(f316(f54(x63091),x63092))
% 163.96/163.64 [6312]E(x63121,f103(x63122))+E(f316(f316(f154(x63122),x63121),f316(f316(f23(a898),f316(f179(f899(x63122)),x63121)),f72(a898))),f134(x63122,x63121))
% 163.96/163.64 [6334]E(x63341,f103(x63342))+E(f316(f316(f124(x63342),f316(f161(x63342),x63341)),f316(f316(f141(x63342),f316(f131(x63342),x63341)),f103(x63342))),f316(f157(x63342),x63341))
% 163.96/163.64 [6366]~P107(f316(f54(x63661),f30(f905(x63661,a895),x63662)))+P107(f316(f54(f905(x63661,a895)),x63662))
% 163.96/163.64 [6388]P107(f316(f316(f224(a898),f316(f93(a898),x63881)),f316(f93(a898),x63882)))+~P107(f316(f316(f224(a1),x63881),a77))
% 163.96/163.64 [6411]~P107(f316(f316(f225(a1),x64111),x64112))+P107(f316(f316(f224(a1),x64111),f316(f316(f23(a1),x64112),f72(a1))))
% 163.96/163.64 [6412]~P107(f316(f316(f224(a1),x64121),x64122))+P107(f316(f316(f225(a1),x64121),f316(f316(f74(a1),x64122),f72(a1))))
% 163.96/163.64 [6413]~P107(f316(f316(f225(a1),x64131),x64132))+P107(f316(f316(f225(a1),x64131),f316(f316(f74(a1),x64132),f72(a1))))
% 163.96/163.64 [6415]~P107(f316(f316(f224(a1),x64151),x64152))+P107(f316(f316(f224(a898),f316(f93(a898),x64151)),f316(f93(a898),x64152)))
% 163.96/163.64 [6417]~P107(f316(f316(f224(a898),x64171),x64172))+P107(f316(f316(f224(a1),f316(f90(a1),x64171)),f316(f90(a1),x64172)))
% 163.96/163.64 [6418]~P107(f316(f316(f224(a1),x64181),x64182))+P107(f316(f316(f224(a1),f316(f93(a1),x64181)),f316(f93(a1),x64182)))
% 163.96/163.64 [6420]~P107(f316(f316(f225(a898),x64201),x64202))+P107(f316(f316(f225(a1),f316(f90(a1),x64201)),f316(f90(a1),x64202)))
% 163.96/163.64 [6421]~P107(f316(f316(f225(a1),x64211),x64212))+P107(f316(f316(f225(a1),f316(f93(a1),x64211)),f316(f93(a1),x64212)))
% 163.96/163.64 [6441]~P107(f316(f316(f224(a898),x64411),x64412))+~P107(f316(f316(f224(a898),f316(a102,x64412)),x64411))
% 163.96/163.64 [6484]~P107(f316(f316(f224(a898),f316(a102,x64841)),f316(a102,x64842)))+P107(f316(f316(f224(a898),x64841),x64842))
% 163.96/163.64 [6485]~P107(f316(f316(f224(a89),f316(a3,x64851)),f316(a3,x64852)))+P107(f316(f316(f224(a898),x64851),x64852))
% 163.96/163.64 [6486]~P107(f316(f316(f224(a898),f316(a20,x64861)),f316(a20,x64862)))+P107(f316(f316(f224(a89),x64861),x64862))
% 163.96/163.64 [6488]~P107(f316(f316(f225(a898),f316(a102,x64881)),f316(a102,x64882)))+P107(f316(f316(f225(a898),x64881),x64882))
% 163.96/163.64 [6489]~P107(f316(f316(f225(a89),f316(a3,x64891)),f316(a3,x64892)))+P107(f316(f316(f225(a898),x64891),x64892))
% 163.96/163.64 [6490]~P107(f316(f316(f225(a898),f316(a94,x64901)),f316(a94,x64902)))+P107(f316(f316(f225(a1),x64901),x64902))
% 163.96/163.64 [6491]~P107(f316(f316(f225(a898),f316(a20,x64911)),f316(a20,x64912)))+P107(f316(f316(f225(a89),x64911),x64912))
% 163.96/163.64 [6533]~P107(f316(f316(f225(a898),f316(a94,x65332)),f316(a94,x65331)))+P107(f316(f316(f225(a1),f2(a1)),x65331))
% 163.96/163.64 [6564]P107(f316(f316(f224(a1),f2(a1)),f38(a1,x65641,x65642)))+~P107(f316(f316(f225(a1),f2(a1)),x65642))
% 163.96/163.64 [6729]P36(x67291,x67292)+~E(f316(f316(f278(x67291,x67291,x67291),x67292),x67292),f178(f905(f904(x67291,x67291),a895)))
% 163.96/163.64 [6745]~P36(x67451,x67452)+P36(x67451,f316(f316(f278(x67451,x67451,x67451),x67452),x67452))
% 163.96/163.64 [6756]P107(f316(f316(f224(a1),x67561),x67562))+~P107(f316(f316(f225(a1),x67561),f316(f316(f74(a1),x67562),f72(a1))))
% 163.96/163.64 [6757]P107(f316(f316(f225(a1),x67571),x67572))+~P107(f316(f316(f224(a1),x67571),f316(f316(f23(a1),x67572),f72(a1))))
% 163.96/163.64 [6760]P107(f316(f316(f224(a898),x67601),x67602))+~P107(f316(f316(f224(a1),f316(f90(a1),x67601)),f316(f90(a1),x67602)))
% 163.96/163.64 [6761]P107(f316(f316(f224(a1),x67611),x67612))+~P107(f316(f316(f224(a1),f316(f93(a1),x67611)),f316(f93(a1),x67612)))
% 163.96/163.64 [6763]P107(f316(f316(f225(a898),x67631),x67632))+~P107(f316(f316(f225(a1),f316(f90(a1),x67631)),f316(f90(a1),x67632)))
% 163.96/163.64 [6764]P107(f316(f316(f225(a1),x67641),x67642))+~P107(f316(f316(f225(a898),f316(f93(a898),x67641)),f316(f93(a898),x67642)))
% 163.96/163.64 [6765]P107(f316(f316(f225(a1),x67651),x67652))+~P107(f316(f316(f225(a1),f316(f93(a1),x67651)),f316(f93(a1),x67652)))
% 163.96/163.64 [6838]~E(f279(a898,f276(a898),x68381,x68382),f178(f905(a898,a895)))+~P107(f316(f316(f276(a898),x68381),x68382))
% 163.96/163.64 [6865]~E(f688(x68652,x68651),f103(x68651))+E(f316(f132(f899(x68651),f899(x68651),f124(x68651),f103(x68651)),x68652),f103(x68651))
% 163.96/163.64 [6866]~E(f694(x68662,x68661),f103(x68661))+E(f316(f132(f899(x68661),f899(x68661),f124(x68661),f103(x68661)),x68662),f103(x68661))
% 163.96/163.64 [6870]~P2(x68701)+E(f316(f132(x68701,x68701,f100(x68701),f178(x68701)),x68702),f30(x68701,f316(f162(x68701),x68702)))
% 163.96/163.64 [6871]~P2(x68711)+E(f316(f132(x68711,x68711,f91(x68711),f231(x68711)),x68712),f31(x68711,f316(f162(x68711),x68712)))
% 163.96/163.64 [6885]E(x68851,f2(a89))+E(f316(f316(f74(a898),f316(a20,f316(f316(f23(a89),x68851),f72(a89)))),f316(a102,x68852)),f316(f316(f74(a898),f316(a20,x68851)),x68852))
% 163.96/163.64 [6934]P107(f316(f316(f225(a1),f316(f316(f23(a1),x69341),x69342)),f2(a1)))+~P107(f316(f316(f225(a1),x69341),x69342))
% 163.96/163.64 [6959]~P108(x69591)+E(f316(f316(f100(f905(x69591,a895)),f316(f316(f298(x69591),x69592),f178(f905(x69591,a895)))),f316(f293(x69591),x69592)),f316(f272(x69591),x69592))
% 163.96/163.64 [7034]~P58(x70341,x70342)+P36(x70341,f316(f251(f904(x70341,x70341)),f316(f246(x70341,x70341,a895),x70342)))
% 163.96/163.64 [7035]~P58(x70351,x70352)+P56(x70351,f316(f251(f904(x70351,x70351)),f316(f246(x70351,x70351,a895),x70352)))
% 163.96/163.64 [7036]~P48(x70361,x70362)+P37(x70361,f316(f251(f904(x70361,x70361)),f316(f246(x70361,x70361,a895),x70362)))
% 163.96/163.64 [7037]~P49(x70371,x70372)+P50(x70371,f316(f251(f904(x70371,x70371)),f316(f246(x70371,x70371,a895),x70372)))
% 163.96/163.64 [7038]E(x70381,f178(f905(x70382,a895)))+~P107(f316(f316(f224(f905(x70382,a895)),x70381),f178(f905(x70382,a895))))
% 163.96/163.64 [7123]~P107(f316(f316(f225(a898),f2(a898)),x71232))+P107(f316(f316(f224(a898),f38(a898,x71231,x71232)),x71232))
% 163.96/163.64 [7124]~P107(f316(f316(f224(a1),f2(a1)),x71241))+P107(f316(f316(f224(a1),f38(a1,x71241,x71242)),x71241))
% 163.96/163.64 [7125]~P107(f316(f316(f225(a898),f2(a898)),x71252))+P107(f316(f316(f225(a898),f38(a898,x71251,x71252)),x71252))
% 163.96/163.64 [7127]~P107(f316(f316(f225(a1),f2(a1)),x71272))+P107(f316(f316(f225(a1),f38(a1,x71271,x71272)),x71272))
% 163.96/163.64 [7204]~P111(x72041)+E(f316(f316(f23(f905(x72041,a895)),f316(f316(f298(x72041),x72042),f178(f905(x72041,a895)))),f316(f271(x72041),x72042)),f316(f316(f298(x72041),x72042),f178(f905(x72041,a895))))
% 163.96/163.64 [7279]~P47(x72791,x72792)+P52(x72791,f231(f905(x72791,a895)),f316(f251(f904(x72791,x72791)),f316(f246(x72791,x72791,a895),x72792)))
% 163.96/163.64 [7280]P107(f316(x72801,x72802))+P107(f316(f316(f318(f905(f904(a898,a898),a895)),f572(x72802,x72801)),a88))
% 163.96/163.64 [7325]E(f316(f316(f124(a898),f129(a898,f316(f291(a898,x73251),x73252))),f316(f316(f141(a898),x73252),f103(a898))),f129(a898,f316(f291(a898,x73251),f316(a102,x73252))))+~P107(f316(f316(f224(a898),x73251),x73252))
% 163.96/163.64 [7476]E(x74761,f2(a898))+~E(f316(f132(a898,a898,f74(a898),x74761),x74762),f2(a898))
% 163.96/163.64 [7501]~P107(f316(f316(f225(a1),f316(f316(f23(a1),x75011),x75012)),f2(a1)))+P107(f316(f316(f225(a1),x75011),x75012))
% 163.96/163.64 [7530]P36(x75301,x75302)+~P36(x75301,f316(f316(f278(x75301,x75301,x75301),x75302),x75302))
% 163.96/163.64 [7555]~P107(f316(f316(f224(a898),f316(a102,x75551)),x75552))+P107(f175(a895,a228,f316(f224(a898),x75551),x75552))
% 163.96/163.64 [7709]P22(a898,a898,f316(f316(f7(a898,a898,a898),f23(a898)),x77091),x77092)+P107(f316(f316(f318(a898),f575(x77091,x77092)),x77092))
% 163.96/163.64 [7767]E(f316(f316(f316(f58(a898,x77671,f74(a898)),f316(f16(a898,x77671),f72(a898))),f2(a898)),x77672),f316(f28(x77671),x77672))+~P107(f316(f54(x77671),x77672))
% 163.96/163.64 [7809]P22(a898,a898,f316(f316(f7(a898,a898,a898),f23(a898)),x78091),x78092)+~P107(f316(f316(f224(a898),x78091),f575(x78091,x78092)))
% 163.96/163.64 [7865]P36(x78651,x78652)+P107(f316(f316(f224(f905(x78651,a895)),f810(x78652,x78651)),f316(f274(x78651,x78651,x78652),f810(x78652,x78651))))
% 163.96/163.64 [7870]P58(x78701,x78702)+~P36(x78701,f316(f251(f904(x78701,x78701)),f316(f246(x78701,x78701,a895),x78702)))
% 163.96/163.64 [7871]P48(x78711,x78712)+~P37(x78711,f316(f251(f904(x78711,x78711)),f316(f246(x78711,x78711,a895),x78712)))
% 163.96/163.64 [7872]P49(x78721,x78722)+~P50(x78721,f316(f251(f904(x78721,x78721)),f316(f246(x78721,x78721,a895),x78722)))
% 163.96/163.64 [7940]P107(f316(f316(f224(a898),f316(a102,x79401)),x79402))+~P107(f175(a895,a228,f316(f224(a898),x79401),x79402))
% 163.96/163.64 [7999]P107(f316(f316(f318(f904(a898,a898)),f316(f316(f241(a898,a898),x79991),x79992)),f296(a898,a306)))+~P107(f316(f316(f224(a898),x79991),x79992))
% 163.96/163.64 [8095]P47(x80951,x80952)+~P52(x80951,f231(f905(x80951,a895)),f316(f251(f904(x80951,x80951)),f316(f246(x80951,x80951,a895),x80952)))
% 163.96/163.64 [8150]~P107(f316(f127(x81501),x81502))+P107(f316(f127(f905(x81501,a895)),f316(f316(f144(f899(x81501),f905(x81501,a895)),f162(x81501)),f47(x81501,x81502))))
% 163.96/163.64 [8350]~P36(x83501,f316(f275(x83501,x83501),x83502))+P36(x83501,f316(f275(x83501,x83501),f316(f316(f278(x83501,x83501,x83501),x83502),f296(x83501,x83502))))
% 163.96/163.64 [8449]P23(x84491,a898,f817(x84492,x84491),x84492,f316(f291(a898,f2(a898)),f316(f28(x84491),x84492)))+~P107(f316(f54(x84491),x84492))
% 163.96/163.64 [8450]P23(a898,x84501,f818(x84502,x84501),f316(f291(a898,f2(a898)),f316(f28(x84501),x84502)),x84502)+~P107(f316(f54(x84501),x84502))
% 163.96/163.64 [8467]P23(a898,x84671,f819(x84672,x84671),f292(a898,f72(a898),f316(f28(x84671),x84672)),x84672)+~P107(f316(f54(x84671),x84672))
% 163.96/163.64 [8477]P107(f316(f54(f904(x84771,x84771)),f316(f316(f278(x84771,x84771,x84771),x84772),f296(x84771,x84772))))+~P107(f316(f54(f904(x84771,x84771)),x84772))
% 163.96/163.64 [8504]E(x85041,f2(a1))+P107(f316(f42(x85042,x85041),f316(f316(f241(a1,a1),f316(f316(f29(a1),x85042),x85041)),f38(a1,x85042,x85041))))
% 163.96/163.64 [8517]~P107(f316(f316(f318(f904(a898,a898)),f316(f316(f241(a898,a898),x85171),x85172)),f296(a898,a306)))+P107(f316(f316(f224(a898),x85171),x85172))
% 163.96/163.64 [8533]~P82(x85331)+E(f316(f132(x85331,x85331,f316(f7(x85331,x85331,x85331),f74(x85331)),f2(x85331)),f316(f158(x85331),x85332)),f316(f132(x85331,x85331,f74(x85331),f2(x85331)),x85332))
% 163.96/163.64 [8705]~P108(x87051)+E(f316(f132(f899(x87051),x87051,f316(f7(x87051,f899(x87051),f899(x87051)),f138(x87051,x87051,f5(x87051))),f103(x87051)),x87052),f140(x87051,x87051,f5(x87051),x87052))
% 163.96/163.64 [8819]~P56(x88191,f316(f251(f904(x88191,x88191)),f316(f246(x88191,x88191,a895),x88192)))+P56(x88191,f316(f251(f904(x88191,x88191)),f316(f246(x88191,x88191,a895),f232(x88191,x88191,x88192))))
% 163.96/163.64 [8833]P107(f316(f316(f318(f904(a898,a898)),f316(f316(f241(a898,a898),x88331),x88332)),f316(f316(f278(a898,a898,a898),a306),f296(a898,a306))))+~P107(f316(f316(f225(a898),x88331),x88332))
% 163.96/163.64 [8879]~P107(f316(f54(f904(x88791,x88791)),f316(f316(f278(x88791,x88791,x88791),x88792),f296(x88791,x88792))))+P107(f316(f54(f904(x88791,x88791)),x88792))
% 163.96/163.64 [8937]~P56(x89371,f316(f251(f904(x89371,x89371)),f316(f246(x89371,x89371,a895),f232(x89371,x89371,x89372))))+P56(x89371,f316(f251(f904(x89371,x89371)),f316(f246(x89371,x89371,a895),x89372)))
% 163.96/163.64 [9138]P56(x91381,x91382)+P107(f316(f316(f318(f904(x91381,x91381)),f316(f316(f241(x91381,x91381),f604(x91382,x91381)),f604(x91382,x91381))),f316(f316(f278(x91381,x91381,x91381),x91382),f296(x91381,x91382))))
% 163.96/163.64 [9139]P56(x91391,x91392)+P107(f316(f316(f318(f904(x91391,x91391)),f316(f316(f241(x91391,x91391),f606(x91392,x91391)),f606(x91392,x91391))),f316(f316(f278(x91391,x91391,x91391),x91392),f296(x91391,x91392))))
% 163.96/163.64 [9256]~P107(f316(f316(f318(f904(a898,a898)),f316(f316(f241(a898,a898),x92561),x92562)),f316(f316(f278(a898,a898,a898),a306),f296(a898,a306))))+P107(f316(f316(f225(a898),x92561),x92562))
% 163.96/163.64 [5162]~P98(x51621)+E(f316(f316(f74(x51621),f316(f93(x51621),a77)),x51622),x51622)
% 163.96/163.64 [5192]~P94(x51921)+E(f316(f316(f100(x51921),f316(f73(x51921),x51922)),x51922),f231(x51921))
% 163.96/163.64 [5193]~P94(x51931)+E(f316(f316(f91(x51931),f316(f73(x51931),x51932)),x51932),f178(x51931))
% 163.96/163.64 [5194]~P60(x51941)+E(f316(f316(f74(x51941),f316(f73(x51941),x51942)),x51942),f2(x51941))
% 163.96/163.64 [5195]~P71(x51951)+E(f316(f316(f74(x51951),f316(f73(x51951),x51952)),x51952),f2(x51951))
% 163.96/163.64 [5228]~P98(x52281)+E(f316(f316(f75(x52281),f316(f93(x52281),a87)),x52282),f316(f73(x52281),x52282))
% 163.96/163.64 [5385]~P115(x53851)+E(f316(f316(f75(x53851),f316(f73(x53851),f72(x53851))),x53852),f316(f73(x53851),x53852))
% 163.96/163.64 [5430]E(f316(f69(a1),x54301),f72(a1))+~E(f316(f69(a1),f316(f316(f75(a1),x54301),x54302)),f72(a1))
% 163.96/163.64 [5522]~P98(x55221)+E(f316(f316(f74(x55221),f72(x55221)),f316(f93(x55221),x55222)),f316(f93(x55221),f316(f316(f23(a1),x55222),a87)))
% 163.96/163.64 [5576]~P2(x55761)+E(f30(x55761,f316(f316(f298(x55761),x55762),f178(f905(x55761,a895)))),x55762)
% 163.96/163.64 [5577]~P2(x55771)+E(f31(x55771,f316(f316(f298(x55771),x55772),f178(f905(x55771,a895)))),x55772)
% 163.96/163.64 [5578]~P84(x55781)+E(f10(x55781,f316(f316(f298(x55781),x55782),f178(f905(x55781,a895)))),x55782)
% 163.96/163.64 [5579]~P84(x55791)+E(f13(x55791,f316(f316(f298(x55791),x55792),f178(f905(x55791,a895)))),x55792)
% 163.96/163.64 [5580]~P108(x55801)+E(f14(x55801,f316(f316(f298(x55801),x55802),f178(f905(x55801,a895)))),x55802)
% 163.96/163.64 [5581]~P108(x55811)+E(f15(x55811,f316(f316(f298(x55811),x55812),f178(f905(x55811,a895)))),x55812)
% 163.96/163.64 [5603]E(f316(f316(f74(a898),x56031),f316(f316(f23(a898),x56032),x56031)),x56032)+P107(f316(f316(f225(a898),x56032),x56031))
% 163.96/163.64 [5641]E(x56411,f103(x56412))+P107(f316(f316(f225(a898),f2(a898)),f316(f179(f899(x56412)),x56411)))
% 163.96/163.64 [5767]~P108(x57671)+E(f11(x57671,f222(x57671),f316(f316(f298(x57671),x57672),f178(f905(x57671,a895)))),x57672)
% 163.96/163.64 [5768]~P108(x57681)+E(f12(x57681,f223(x57681),f316(f316(f298(x57681),x57682),f178(f905(x57681,a895)))),x57682)
% 163.96/163.64 [5829]E(f316(f316(f23(a898),x58291),f316(f316(f23(a898),x58291),x58292)),x58292)+~P107(f316(f316(f224(a898),x58292),x58291))
% 163.96/163.64 [5830]E(f316(f316(f74(a898),x58301),f316(f316(f23(a898),x58302),x58301)),x58302)+~P107(f316(f316(f224(a898),x58301),x58302))
% 163.96/163.64 [5852]E(f38(a898,f316(f316(f23(a898),x58521),x58522),x58522),f38(a898,x58521,x58522))+P107(f316(f316(f225(a898),x58521),x58522))
% 163.96/163.64 [5863]E(f316(f73(a1),f316(f316(f29(a1),x58631),f316(f73(a1),x58632))),f282(x58631,x58632))+P107(f316(f316(f224(a1),f2(a1)),x58632))
% 163.96/163.64 [5865]~E(x58652,f2(a898))+P107(f316(f316(f225(a898),f2(a898)),f316(f316(f233(a898),x58651),x58652)))
% 163.96/163.64 [5929]~P98(x59291)+E(f316(f316(f74(x59291),f316(f73(x59291),f72(x59291))),f316(f93(x59291),x59292)),f316(f93(x59291),f316(f316(f74(a1),x59292),a87)))
% 163.96/163.64 [5931]E(f316(f316(f233(a898),f316(f93(a898),x59311)),x59312),f316(f316(f233(a898),f2(a898)),x59312))+~P107(f316(a183,f316(f93(a1),x59311)))
% 163.96/163.64 [6037]E(f316(f131(a898),f129(a898,f316(f291(a898,x60371),x60372))),x60371)+~P107(f316(f316(f225(a898),x60371),x60372))
% 163.96/163.64 [6053]E(f316(f316(f75(a898),f316(f93(a898),x60531)),f316(f93(a898),x60532)),f316(f93(a898),f316(f316(f75(a1),x60531),x60532)))+P107(f316(f316(f225(a1),x60531),a77))
% 163.96/163.64 [6059]~P127(x60591)+P107(f316(f316(f224(x60591),f2(x60591)),f316(f316(f75(x60591),x60592),x60592)))
% 163.96/163.64 [6071]E(f316(f316(f23(a898),f316(a102,x60711)),x60712),f316(a102,f316(f316(f23(a898),x60711),x60712)))+~P107(f316(f316(f224(a898),x60712),x60711))
% 163.96/163.64 [6075]E(f38(a898,f316(f316(f23(a898),x60751),x60752),x60752),f38(a898,x60751,x60752))+~P107(f316(f316(f224(a898),x60752),x60751))
% 163.96/163.64 [6129]E(f316(f316(f233(a898),f316(a94,x61291)),x61292),f316(a94,f316(f316(f233(a1),x61291),x61292)))+~P107(f316(f316(f224(a1),f2(a1)),x61291))
% 163.96/163.64 [6147]P107(f316(f127(x61471),x61472))+P107(f316(f316(f225(a898),f659(x61472,x61471)),f316(f179(f899(x61471)),x61472)))
% 163.96/163.64 [6148]P107(f316(f127(x61481),x61482))+P107(f316(f316(f225(a898),f663(x61482,x61481)),f316(f179(f899(x61481)),x61482)))
% 163.96/163.64 [6162]~E(x61621,f103(x61622))+~P107(f316(f316(f225(a898),f2(a898)),f316(f179(f899(x61622)),x61621)))
% 163.96/163.64 [6173]E(f134(a898,f129(a898,f316(f291(a898,x61731),x61732))),f316(f316(f23(a898),x61732),f72(a898)))+~P107(f316(f316(f225(a898),x61731),x61732))
% 163.96/163.64 [6176]E(f316(f316(f74(a1),x61761),f316(f90(a1),f316(a102,f426(x61762,x61761)))),x61762)+~P107(f316(f316(f225(a1),x61761),x61762))
% 163.96/163.64 [6183]E(x61831,f2(a898))+E(f316(f316(f75(a898),x61832),f316(f316(f233(a898),x61832),f316(f316(f23(a898),x61831),f72(a898)))),f316(f316(f233(a898),x61832),x61831))
% 163.96/163.64 [6212]E(f316(f316(f75(a898),f316(a94,x62121)),f316(a94,x62122)),f316(a94,f316(f316(f75(a1),x62121),x62122)))+~P107(f316(f316(f224(a1),f2(a1)),x62121))
% 163.96/163.64 [6213]E(f316(f316(f29(a898),f316(a94,x62131)),f316(a94,x62132)),f316(a94,f316(f316(f29(a1),x62131),x62132)))+~P107(f316(f316(f224(a1),f2(a1)),x62131))
% 163.96/163.64 [6228]~P117(x62281)+E(f316(f316(f74(x62281),x62282),x62282),f316(f316(f75(x62281),f316(f316(f74(x62281),f72(x62281)),f72(x62281))),x62282))
% 163.96/163.64 [6251]E(f316(f316(f23(a1),f316(f90(a1),x62511)),f316(f90(a1),x62512)),f316(f90(a1),f316(f316(f23(a898),x62511),x62512)))+~P107(f316(f316(f224(a898),x62512),x62511))
% 163.96/163.64 [6253]E(f316(f316(f241(a1,a1),f316(f93(a1),a87)),f316(f316(f74(a1),x62531),x62532)),f43(x62531,x62532))+~P107(f316(f316(f224(a1),x62532),f2(a1)))
% 163.96/163.64 [6287]E(f169(x62871,x62872),f103(f899(x62871)))+P107(f316(f316(f318(f899(x62871)),f658(x62872,x62871)),f316(f162(f899(x62871)),x62872)))
% 163.96/163.64 [6296]E(f106(a1,f316(f119(a1),x62961),f118(x62962,f316(f316(f74(a1),x62961),f72(a1)))),f118(x62962,x62961))+P107(f316(f316(f225(a1),x62962),x62961))
% 163.96/163.64 [6350]~P107(f316(f316(f276(a898),x63501),x63502))+P107(f316(f316(f276(a898),x63501),f316(f316(f74(a898),x63502),x63501)))
% 163.96/163.64 [6372]E(f316(f316(f141(a1),x63721),f168(f316(f316(f74(a1),x63721),f72(a1)),x63722)),f168(x63721,x63722))+~P107(f316(f316(f224(a1),x63721),x63722))
% 163.96/163.64 [6414]~P107(f316(f316(f225(a898),x64142),x64141))+P107(f316(f316(f225(a898),f2(a898)),f316(f316(f23(a898),x64141),x64142)))
% 163.96/163.64 [6446]~P107(f316(f316(f225(a898),x64461),f316(a94,x64462)))+P107(f316(f316(f225(a1),f316(f90(a1),x64461)),x64462))
% 163.96/163.64 [6475]~P108(x64751)+E(f316(f316(f100(f905(x64751,a895)),f316(f271(x64751),x64752)),f316(f316(f298(x64751),x64752),f178(f905(x64751,a895)))),f316(f290(x64751),x64752))
% 163.96/163.64 [6476]~P107(f316(f316(f224(a1),f2(a1)),x64761))+P107(f316(f316(f224(a1),f2(a1)),f316(f316(f233(a1),x64761),x64762)))
% 163.96/163.64 [6479]~P107(f316(f316(f225(a898),f2(a898)),x64791))+P107(f316(f316(f225(a898),f2(a898)),f316(f316(f233(a898),x64791),x64792)))
% 163.96/163.64 [6506]~E(f316(x65061,f2(a898)),f2(a898))+E(f316(f316(f6(a898,a898),x65061),f292(a898,f316(a102,f2(a898)),x65062)),f316(f316(f6(a898,a898),x65061),f292(a898,f2(a898),x65062)))
% 163.96/163.64 [6572]~P98(x65721)+E(f316(f316(f75(x65721),f316(f316(f74(x65721),f72(x65721)),f72(x65721))),f316(f93(x65721),x65722)),f316(f93(x65721),f316(f316(f74(a1),x65722),x65722)))
% 163.96/163.64 [6591]E(f316(f316(f298(a1),x65911),f292(a1,f316(f316(f74(a1),x65911),f72(a1)),x65912)),f292(a1,x65911,x65912))+P107(f316(f316(f225(a1),x65912),x65911))
% 163.96/163.64 [6592]P107(f316(f316(f225(a898),x65921),f316(a94,x65922)))+~P107(f316(f316(f225(a1),f316(f90(a1),x65921)),x65922))
% 163.96/163.64 [6692]P107(f316(f316(f276(a898),x66921),x66922))+~P107(f316(f316(f276(a898),x66921),f316(f316(f74(a898),x66922),x66921)))
% 163.96/163.64 [6698]E(f316(a94,f316(f316(f29(a1),f316(f93(a1),x66981)),f316(f93(a1),x66982))),f316(f316(f29(a898),f316(f93(a898),x66981)),f316(f93(a898),x66982)))+P107(f316(a183,f316(f93(a1),x66981)))
% 163.96/163.64 [6758]P107(f316(f316(f225(a898),x67581),x67582))+~P107(f316(f316(f225(a898),f2(a898)),f316(f316(f23(a898),x67582),x67581)))
% 163.96/163.64 [6801]P107(f316(f316(f225(a898),f2(a898)),x68011))+~P107(f316(f316(f225(a898),f2(a898)),f316(f316(f75(a898),x68012),x68011)))
% 163.96/163.64 [6802]P107(f316(f316(f225(a898),f2(a898)),x68021))+~P107(f316(f316(f225(a898),f2(a898)),f316(f316(f75(a898),x68021),x68022)))
% 163.96/163.64 [6821]~P107(f316(f316(f224(a1),x68211),f2(a1)))+E(f316(f316(f75(a898),f316(a94,f316(f73(a1),x68211))),f316(a94,f316(f73(a1),x68212))),f316(a94,f316(f316(f75(a1),x68211),x68212)))
% 163.96/163.64 [6882]~E(x68822,f178(f905(x68821,a895)))+P107(f316(f316(f224(f905(x68821,a895)),x68822),f316(f73(f905(x68821,a895)),x68822)))
% 163.96/163.64 [6944]~P98(x69441)+E(f316(f316(f74(x69441),f316(f316(f74(x69441),f2(x69441)),f316(f93(x69441),x69442))),f316(f93(x69441),x69442)),f316(f93(x69441),f316(f316(f74(a1),x69442),x69442)))
% 163.96/163.64 [7000]~P107(f316(f316(f225(a1),x70001),x70002))+P107(f316(f316(f224(a1),f316(f316(f74(a1),x70001),f72(a1))),x70002))
% 163.96/163.64 [7067]E(x70671,f2(a898))+~P107(f316(f316(f224(a1),f316(f90(a1),x70672)),f316(f73(a1),f316(f90(a1),x70671))))
% 163.96/163.64 [7068]E(x70681,f2(a898))+~P107(f316(f316(f224(a1),f316(f90(a1),x70681)),f316(f73(a1),f316(f90(a1),x70682))))
% 163.96/163.64 [7172]E(f316(f316(f241(a1,a1),f316(f93(a1),a87)),f316(f316(f74(a1),x71721),x71722)),f43(x71721,x71722))+~P107(f316(f316(f224(a1),f2(a1)),f316(f316(f74(a1),x71721),x71722)))
% 163.96/163.64 [7216]~P24(x72161,x72162)+P36(x72161,f316(f240(f905(f904(x72161,x72161),a895),f905(f904(x72161,x72161),a895)),x72162))
% 163.96/163.64 [7235]~P107(f316(f316(f224(a898),f316(a102,f2(a898))),x72351))+P107(f316(f316(f224(a898),f316(a102,f2(a898))),f316(f316(f233(a898),x72351),x72352)))
% 163.96/163.64 [7415]~P107(f316(f316(f224(a1),x74151),x74152))+P107(f316(f316(f224(a1),f316(f316(f74(a1),x74151),x74151)),f316(f316(f74(a1),x74152),x74152)))
% 163.96/163.64 [7420]~P107(f316(f316(f225(a1),x74201),x74202))+P107(f316(f316(f225(a1),f316(f316(f74(a1),x74201),x74201)),f316(f316(f74(a1),x74202),x74202)))
% 163.96/163.64 [7477]~P107(f316(f316(f225(a898),f2(a898)),x74771))+P107(f316(f316(f225(a898),f316(f316(f23(a898),x74771),f316(a102,x74772))),x74771))
% 163.96/163.64 [7512]P107(f316(f316(f224(a898),f316(a102,f2(a898))),x75121))+~P107(f316(f316(f224(a898),f316(a102,f2(a898))),f316(f316(f75(a898),x75122),x75121)))
% 163.96/163.64 [7513]P107(f316(f316(f224(a898),f316(a102,f2(a898))),x75131))+~P107(f316(f316(f224(a898),f316(a102,f2(a898))),f316(f316(f75(a898),x75131),x75132)))
% 163.96/163.64 [7517]P107(f316(f316(f224(a898),f316(f316(f154(a898),x75171),x75172)),f316(f155(a898),x75171)))+~P107(f316(f316(f225(a898),x75172),f316(f179(f899(a898)),x75171)))
% 163.96/163.64 [7554]P107(f316(f316(f225(a1),x75541),x75542))+~P107(f316(f316(f224(a1),f316(f316(f74(a1),x75541),f72(a1))),x75542))
% 163.96/163.64 [7596]P107(f316(f54(x75961),f231(f905(x75961,a895))))+~P107(f316(f54(f905(x75962,x75961)),f231(f905(f905(x75962,x75961),a895))))
% 163.96/163.64 [7597]P107(f316(f54(x75971),f231(f905(x75971,a895))))+~P107(f316(f54(f906(x75972,x75971)),f231(f905(f906(x75972,x75971),a895))))
% 163.96/163.64 [7598]P107(f316(f54(x75981),f231(f905(x75981,a895))))+~P107(f316(f54(f906(x75981,x75982)),f231(f905(f906(x75981,x75982),a895))))
% 163.96/163.64 [7636]E(x76361,f178(f905(x76362,a895)))+~P107(f316(f316(f224(f905(x76362,a895)),x76361),f316(f73(f905(x76362,a895)),x76361)))
% 163.96/163.64 [7777]E(f316(f132(f899(x77771),f899(x77771),f124(x77771),f103(x77771)),x77772),f103(x77771))+P107(f316(f316(f318(f899(x77771)),f688(x77772,x77771)),f316(f162(f899(x77771)),x77772)))
% 163.96/163.64 [7778]E(f316(f132(f899(x77781),f899(x77781),f124(x77781),f103(x77781)),x77782),f103(x77781))+P107(f316(f316(f318(f899(x77781)),f694(x77782,x77781)),f316(f162(f899(x77781)),x77782)))
% 163.96/163.64 [8017]P107(f316(f316(f224(a1),x80171),x80172))+~P107(f316(f316(f224(a1),f316(f316(f74(a1),x80171),x80171)),f316(f316(f74(a1),x80172),x80172)))
% 163.96/163.64 [8022]P107(f316(f316(f225(a1),x80221),x80222))+~P107(f316(f316(f225(a1),f316(f316(f74(a1),x80221),x80221)),f316(f316(f74(a1),x80222),x80222)))
% 163.96/163.64 [8115]~P117(x81151)+E(f316(f316(f75(x81151),f316(f316(f74(x81151),f72(x81151)),f72(x81151))),f316(f316(f6(a898,x81151),f90(x81151)),f292(a898,f72(a898),x81152))),f316(f316(f75(x81151),f316(f90(x81151),x81152)),f316(f316(f74(x81151),f316(f90(x81151),x81152)),f72(x81151))))
% 163.96/163.64 [8164]P107(f316(f316(f318(a898),x81641),x81642))+~P107(f316(f316(f318(a1),f316(f90(a1),x81641)),f316(f299(a898,a1,f90(a1)),x81642)))
% 163.96/163.64 [8322]~P107(f316(f54(x83221),x83222))+E(f316(f299(a898,x83221,f350(x83222,x83221)),f316(f251(a898),f316(f316(f7(a898,a898,a895),f225(a898)),f351(x83222,x83221)))),x83222)
% 163.96/163.64 [8601]P53(x86011,x86012)+P107(f316(f316(f318(f904(x86011,x86011)),f316(f316(f241(x86011,x86011),f669(x86012,x86011)),f669(x86012,x86011))),x86012))
% 163.96/163.64 [8602]P37(x86021,x86022)+P107(f316(f316(f318(f904(x86021,x86021)),f316(f316(f241(x86021,x86021),f781(x86022,x86021)),f784(x86022,x86021))),x86022))
% 163.96/163.64 [8603]P37(x86031,x86032)+P107(f316(f316(f318(f904(x86031,x86031)),f316(f316(f241(x86031,x86031),f784(x86032,x86031)),f785(x86032,x86031))),x86032))
% 163.96/163.64 [8604]P38(x86041,x86042)+P107(f316(f316(f318(f904(x86041,x86041)),f316(f316(f241(x86041,x86041),f699(x86042,x86041)),f698(x86042,x86041))),x86042))
% 163.96/163.64 [8605]P38(x86051,x86052)+P107(f316(f316(f318(f904(x86051,x86051)),f316(f316(f241(x86051,x86051),f698(x86052,x86051)),f699(x86052,x86051))),x86052))
% 163.96/163.64 [8606]P50(x86061,x86062)+P107(f316(f316(f318(f904(x86061,x86061)),f316(f316(f241(x86061,x86061),f795(x86062,x86061)),f796(x86062,x86061))),x86062))
% 163.96/163.64 [8750]~P98(x87501)+E(f316(f316(f23(x87501),f72(x87501)),f316(f93(x87501),x87502)),f316(f93(x87501),f316(f316(f74(a1),f316(f316(f23(a1),f316(f316(f74(a1),a77),a77)),a87)),f316(f73(a1),x87502))))
% 163.96/163.64 [8876]~P107(f316(f316(f225(f905(a898,a895)),x88761),x88762))+P107(f316(f316(f225(f905(a1,a895)),f316(f299(a898,a1,f90(a1)),x88761)),f316(f299(a898,a1,f90(a1)),x88762)))
% 163.96/163.64 [8910]~P107(f316(f316(f225(a1),x89101),x89102))+P107(f316(f316(f224(a1),f316(f316(f23(a1),f316(f316(f74(a1),x89101),x89101)),a87)),f316(f316(f74(a1),x89102),x89102)))
% 163.96/163.64 [8912]~P107(f316(f316(f225(a1),x89121),x89122))+P107(f316(f316(f225(a1),f316(f316(f23(a1),f316(f316(f74(a1),x89121),x89121)),a87)),f316(f316(f74(a1),x89122),x89122)))
% 163.96/163.64 [8985]~P107(f316(f316(f318(a898),x89851),f316(f162(a898),x89852)))+P107(f316(f316(f224(a898),x89851),f316(f132(a898,a898,f74(a898),f2(a898)),x89852)))
% 163.96/163.64 [9078]P44(x90781,x90782)+~P107(f316(f316(f318(f904(x90781,x90781)),f316(f316(f241(x90781,x90781),f655(x90782,x90781)),f655(x90782,x90781))),x90782))
% 163.96/163.64 [9079]P37(x90791,x90792)+~P107(f316(f316(f318(f904(x90791,x90791)),f316(f316(f241(x90791,x90791),f781(x90792,x90791)),f785(x90792,x90791))),x90792))
% 163.96/163.64 [9080]P50(x90801,x90802)+~P107(f316(f316(f318(f904(x90801,x90801)),f316(f316(f241(x90801,x90801),f796(x90802,x90801)),f795(x90802,x90801))),x90802))
% 163.96/163.64 [9219]~P107(f316(f316(f224(f905(a1,a895)),f316(f299(a898,a1,f90(a1)),x92191)),f316(f299(a898,a1,f90(a1)),x92192)))+P107(f316(f316(f224(f905(a898,a895)),x92191),x92192))
% 163.96/163.64 [9220]~P107(f316(f316(f225(f905(a1,a895)),f316(f299(a898,a1,f90(a1)),x92201)),f316(f299(a898,a1,f90(a1)),x92202)))+P107(f316(f316(f225(f905(a898,a895)),x92201),x92202))
% 163.96/163.64 [9305]P107(f316(f316(f225(a1),x93051),x93052))+~P107(f316(f316(f224(a1),f316(f316(f23(a1),f316(f316(f74(a1),x93051),x93051)),a87)),f316(f316(f74(a1),x93052),x93052)))
% 163.96/163.64 [9307]P107(f316(f316(f225(a1),x93071),x93072))+~P107(f316(f316(f225(a1),f316(f316(f23(a1),f316(f316(f74(a1),x93071),x93071)),a87)),f316(f316(f74(a1),x93072),x93072)))
% 163.96/163.64 [10205]~P105(x102051)+E(f106(f899(x102051),f316(f119(f899(x102051)),f103(x102051)),f316(f316(f316(f86(f900(f899(x102051))),f316(f316(f225(a1),f2(a1)),x102052)),f316(f108(f904(x102051,f899(x102051)),f899(x102051),f121(x102051,f899(x102051),f122(x102051,f316(f316(f23(a1),x102052),f72(a1))),f122(f899(x102051),f316(f316(f23(a1),x102052),f72(a1))))),f316(f246(x102051,f899(x102051),f900(f899(x102051))),f316(f316(f8(f905(f899(x102051),f899(x102051)),f905(f899(x102051),f900(f899(x102051))),x102051),f316(f8(f899(x102051),f900(f899(x102051)),f899(x102051)),f119(f899(x102051)))),f141(x102051))))),f105(f899(x102051)))),f122(f899(x102051),x102052))
% 163.96/163.64 [10227]~P107(f316(f54(x102271),x102272))+E(f316(f179(f899(x102271)),f84(f899(x102271),f316(f316(f18(f899(x102271),a895,a895),f316(f316(f8(a895,f905(a895,a895),f899(x102271)),a314),f316(f316(f7(f899(x102271),f905(x102271,a895),a895),f316(f316(f8(f905(x102271,a895),f905(f905(x102271,a895),a895),f899(x102271)),a313),f162(x102271))),x102272))),f127(x102271)))),f204(x102271,x102272))
% 163.96/163.64 [6172]E(f316(f316(f74(a898),f316(f316(f23(a898),x61721),x61722)),x61722),x61721)+~P107(f316(f316(f224(a898),x61722),x61721))
% 163.96/163.64 [6247]E(f316(f316(f29(a898),f316(f316(f75(a898),x62471),x62472)),x62472),x62471)+~P107(f316(f316(f225(a898),f2(a898)),x62472))
% 163.96/163.64 [6248]E(f316(f316(f29(a898),f316(f316(f75(a898),x62481),x62482)),x62481),x62482)+~P107(f316(f316(f225(a898),f2(a898)),x62481))
% 163.96/163.64 [6252]~P76(x62521)+E(f316(f316(f6(a898,x62521),f316(f154(x62521),x62522)),f316(f291(a898,f2(a898)),f316(f179(f899(x62521)),x62522))),f316(f155(x62521),x62522))
% 163.96/163.64 [6364]E(f38(a898,f316(a102,f316(f316(f75(a898),x63641),x63642)),x63641),f72(a898))+~P107(f316(f316(f225(a898),f72(a898)),x63641))
% 163.96/163.64 [6370]E(f316(a102,f316(f316(f74(a898),f316(f93(a898),x63701)),x63702)),f316(f316(f74(a898),f72(a898)),x63702))+~P107(f316(a183,f316(f93(a1),x63701)))
% 163.96/163.64 [6399]E(f316(a94,f316(f316(f233(a1),f316(f93(a1),x63991)),x63992)),f316(f316(f233(a898),f316(f93(a898),x63991)),x63992))+P107(f316(a183,f316(f93(a1),x63991)))
% 163.96/163.64 [6646]E(f316(f316(f23(a898),x66461),f316(f93(a898),f316(f316(f74(a1),x66462),a87))),f316(f316(f23(a898),f316(a102,x66461)),f316(f93(a898),x66462)))+~P107(f316(f316(f225(a1),a77),x66462))
% 163.96/163.64 [6728]E(x67281,f2(a898))+E(f316(a102,f316(f316(f74(a898),f316(f316(f23(a898),x67281),f72(a898))),x67282)),f316(f316(f74(a898),x67281),x67282))
% 163.96/163.64 [6771]E(x67711,f2(a1))+P107(f316(f316(f225(a1),f2(a1)),f316(f316(f233(a1),f316(f69(a1),x67711)),x67712)))
% 163.96/163.64 [6786]~E(x67862,f2(a898))+P107(f316(f316(f225(a1),f2(a1)),f316(f316(f233(a1),f316(f69(a1),x67861)),x67862)))
% 163.96/163.64 [6824]E(x68241,f2(a898))+E(f316(f316(f74(a898),x68242),f316(f316(f75(a898),f316(f316(f23(a898),x68241),f72(a898))),x68242)),f316(f316(f75(a898),x68241),x68242))
% 163.96/163.64 [6875]~P107(f316(f316(f224(a1),x68751),x68752))+P107(f316(f316(f225(a1),f316(f316(f74(a1),x68751),a87)),x68752))
% 163.96/163.64 [7003]E(f316(f316(f141(a898),x70031),f129(a898,f316(f291(a898,f316(a102,x70031)),x70032))),f129(a898,f316(f291(a898,x70031),x70032)))+~P107(f316(f316(f225(a898),x70031),x70032))
% 163.96/163.64 [7207]E(x72071,x72072)+~E(f316(f316(f23(a1),f316(f316(f74(a1),x72071),x72071)),a87),f316(f316(f23(a1),f316(f316(f74(a1),x72072),x72072)),a87))
% 163.96/163.64 [7210]E(x72101,f103(x72102))+E(f255(x72102,f316(f316(f144(x72102,f904(a89,x72102)),f316(f241(a89,x72102),f72(a89))),x72101)),f264(x72102,x72101))
% 163.96/163.64 [7447]P107(f316(f316(f224(a1),x74471),x74472))+~P107(f316(f316(f225(a1),f316(f316(f74(a1),x74471),a87)),x74472))
% 163.96/163.64 [7918]~P107(f316(f316(f225(a898),x79181),x79182))+P107(f316(f316(f318(f904(a898,a898)),f316(f316(f241(a898,a898),x79181),x79182)),a229))
% 163.96/163.64 [8141]~P107(f316(f316(f225(a89),f2(a89)),x81411))+P107(f316(f316(f225(a89),f316(f240(a89,f904(a89,a89)),f316(f256(x81411),x81412))),x81411))
% 163.96/163.64 [8404]~P37(x84041,x84042)+P37(x84041,f316(f316(f100(f905(f904(x84041,x84041),a895)),x84042),f296(x84041,f178(f905(f904(x84041,x84041),a895)))))
% 163.96/163.64 [8405]~P38(x84051,x84052)+P38(x84051,f316(f316(f100(f905(f904(x84051,x84051),a895)),x84052),f296(x84051,f178(f905(f904(x84051,x84051),a895)))))
% 163.96/163.64 [8453]~P89(x84531)+P107(f316(f316(f224(x84531),f316(f69(x84531),f316(f155(x84531),x84532))),f316(f155(x84531),f316(f316(f144(x84531,x84531),f69(x84531)),x84532))))
% 163.96/163.64 [8479]P107(f316(f316(f225(a898),x84791),x84792))+~P107(f316(f316(f318(f904(a898,a898)),f316(f316(f241(a898,a898),x84791),x84792)),a229))
% 163.96/163.64 [8625]E(f316(f316(f241(x86251,x86251),f888(x86252,x86251)),f888(x86252,x86251)),x86252)+~P107(f316(f316(f318(f904(x86251,x86251)),x86252),f296(x86251,f178(f905(f904(x86251,x86251),a895)))))
% 163.96/163.64 [8668]E(f316(f291(a898,x86681),f316(f316(f74(a898),x86681),f316(f28(a898),x86682))),x86682)+~P107(f316(f316(f224(f905(a898,a895)),x86682),f316(f291(a898,x86681),f316(f316(f74(a898),x86681),f316(f28(a898),x86682)))))
% 163.96/163.64 [8903]P38(x89031,x89032)+~P38(x89031,f316(f316(f100(f905(f904(x89031,x89031),a895)),x89032),f296(x89031,f178(f905(f904(x89031,x89031),a895)))))
% 163.96/163.64 [9029]E(f316(f316(f29(a1),f316(f93(a1),f316(f316(f23(a1),f316(f316(f74(a1),x90291),x90291)),a87))),f316(f93(a1),f316(f316(f74(a1),x90292),x90292))),f316(f316(f29(a1),f316(f93(a1),x90291)),f316(f93(a1),x90292)))+~P107(f316(f316(f224(a1),f2(a1)),f316(f93(a1),x90292)))
% 163.96/163.64 [9123]~P37(x91231,x91232)+P107(f316(f316(f224(f905(f904(x91231,x91231),a895)),f316(f316(f278(x91231,x91231,x91231),x91232),x91232)),x91232))
% 163.96/163.64 [9149]E(f167(f899(x91491),f316(f316(f8(a895,a895,f899(x91491)),a311),f316(f316(f7(f899(x91491),f899(x91491),a895),a313),f103(x91491))),x91492),f169(x91491,f169(x91491,x91492)))+~P10(a898,f316(f158(a898),f316(f316(f144(f899(x91491),a898),f179(f899(x91491))),x91492)))
% 163.96/163.64 [9152]E(f316(f316(f29(a1),f316(f93(a1),f316(f316(f23(a1),f316(f316(f74(a1),x91521),x91521)),a87))),f316(f93(a1),f316(f316(f74(a1),x91522),x91522))),f316(f316(f29(a1),f316(f316(f74(a1),f316(f93(a1),x91521)),f72(a1))),f316(f93(a1),x91522)))+P107(f316(f316(f224(a1),f2(a1)),f316(f93(a1),x91522)))
% 163.96/163.64 [10000]P107(f316(a183,x100002))+E(f316(f316(f80(a1,a898),f316(f316(f23(a1),x100001),x100002)),f316(f316(f18(a1,a898,a898),f316(f316(f7(a1,a898,f905(a898,a898)),f316(f316(f8(a895,f905(a898,f905(a898,a898)),a1),f86(a898)),a183)),f2(a898))),a94)),f316(f316(f23(a898),f316(a94,x100001)),f316(a94,x100002)))
% 163.96/163.64 [10008]E(f316(f316(f80(a1,a898),f316(f93(a1),f316(f316(f74(a1),x100081),f316(f73(a1),x100082)))),f316(f316(f18(a1,a898,a898),f316(f316(f7(a1,a898,f905(a898,a898)),f316(f316(f8(a895,f905(a898,f905(a898,a898)),a1),f86(a898)),a183)),f2(a898))),a94)),f316(f316(f23(a898),f316(f93(a898),x100081)),f316(f93(a898),x100082)))+P107(f316(f316(f225(a1),x100082),a77))
% 163.96/163.64 [10009]~P24(x100091,x100092)+P107(f316(f316(f224(f905(f904(x100091,x100091),a895)),f316(f316(f278(x100091,x100091,x100091),f316(f240(f905(f904(x100091,x100091),a895),f905(f904(x100091,x100091),a895)),x100092)),f316(f245(f905(f904(x100091,x100091),a895),f905(f904(x100091,x100091),a895)),x100092))),f316(f240(f905(f904(x100091,x100091),a895),f905(f904(x100091,x100091),a895)),x100092)))
% 163.96/163.64 [10064]~E(f316(f28(a898),f316(f251(a898),f316(f316(f18(a898,a895,a895),f316(f316(f8(a895,f905(a895,a895),a898),a314),f316(f316(f7(a898,f905(a898,a895),a895),f318(a898)),x100641))),f316(f316(f7(a898,a898,a895),f225(a898)),f316(a102,x100642))))),f2(a898))+~P107(f316(f316(f318(a898),f2(a898)),x100641))
% 163.96/163.64 [10077]E(f288(a898,f316(f316(f18(a898,f905(a898,a895),f905(a898,a895)),f316(f316(f8(f905(a898,f905(a895,a895)),f905(f905(a898,a895),f905(a898,a895)),a898),f18(a898,a895,a895)),f316(f316(f8(f905(a898,a895),f905(a898,f905(a895,a895)),a898),f316(f8(a895,f905(a895,a895),a898),a314)),f276(a898)))),f316(f316(f8(f905(a898,a895),f905(a898,a895),a898),f316(f8(a895,a895,a898),a311)),f316(f7(a898,a898,a895),f276(a898)))),x100771,x100772),f178(f905(a898,a895)))+~P107(f316(f316(f276(a898),x100772),x100771))
% 163.96/163.64 [10082]E(f286(a898,f276(a898),f316(f316(f18(a898,f905(a898,a895),f905(a898,a895)),f316(f316(f8(f905(a898,f905(a895,a895)),f905(f905(a898,a895),f905(a898,a895)),a898),f18(a898,a895,a895)),f316(f316(f8(f905(a898,a895),f905(a898,f905(a895,a895)),a898),f316(f8(a895,f905(a895,a895),a898),a314)),f276(a898)))),f316(f316(f8(f905(a898,a895),f905(a898,a895),a898),f316(f8(a895,a895,a898),a311)),f316(f7(a898,a898,a895),f276(a898)))),x100821,x100822),f178(f905(a898,a895)))+P107(f316(f316(f276(a898),x100821),x100822))
% 163.96/163.64 [10083]E(f289(a898,f276(a898),f316(f316(f18(a898,f905(a898,a895),f905(a898,a895)),f316(f316(f8(f905(a898,f905(a895,a895)),f905(f905(a898,a895),f905(a898,a895)),a898),f18(a898,a895,a895)),f316(f316(f8(f905(a898,a895),f905(a898,f905(a895,a895)),a898),f316(f8(a895,f905(a895,a895),a898),a314)),f276(a898)))),f316(f316(f8(f905(a898,a895),f905(a898,a895),a898),f316(f8(a895,a895,a898),a311)),f316(f7(a898,a898,a895),f276(a898)))),x100831,x100832),f178(f905(a898,a895)))+P107(f316(f316(f276(a898),x100831),x100832))
% 163.96/163.64 [10087]E(f286(a898,f276(a898),f316(f316(f18(a898,f905(a898,a895),f905(a898,a895)),f316(f316(f8(f905(a898,f905(a895,a895)),f905(f905(a898,a895),f905(a898,a895)),a898),f18(a898,a895,a895)),f316(f316(f8(f905(a898,a895),f905(a898,f905(a895,a895)),a898),f316(f8(a895,f905(a895,a895),a898),a314)),f276(a898)))),f316(f316(f8(f905(a898,a895),f905(a898,a895),a898),f316(f8(a895,a895,a898),a311)),f316(f7(a898,a898,a895),f276(a898)))),x100871,x100872),f178(f905(a898,a895)))+~P107(f316(f316(f276(a898),x100872),x100871))
% 163.96/163.64 [10089]E(f289(a898,f276(a898),f316(f316(f18(a898,f905(a898,a895),f905(a898,a895)),f316(f316(f8(f905(a898,f905(a895,a895)),f905(f905(a898,a895),f905(a898,a895)),a898),f18(a898,a895,a895)),f316(f316(f8(f905(a898,a895),f905(a898,f905(a895,a895)),a898),f316(f8(a895,f905(a895,a895),a898),a314)),f276(a898)))),f316(f316(f8(f905(a898,a895),f905(a898,a895),a898),f316(f8(a895,a895,a898),a311)),f316(f7(a898,a898,a895),f276(a898)))),x100891,x100892),f178(f905(a898,a895)))+~P107(f316(f316(f276(a898),x100892),x100891))
% 163.96/163.64 [10132]E(f38(a1,f316(f93(a1),f316(f316(f23(a1),f316(f316(f74(a1),x101321),x101321)),a87)),f316(f93(a1),f316(f316(f74(a1),x101322),x101322))),f316(f316(f74(a1),f316(f316(f75(a1),f316(f93(a1),f316(f316(f74(a1),f316(f316(f23(a1),f316(f316(f74(a1),a77),a77)),a87)),f316(f316(f23(a1),f316(f316(f74(a1),a77),a77)),a87)))),f38(a1,f316(f93(a1),x101321),f316(f93(a1),x101322)))),f72(a1)))+~P107(f316(f316(f224(a1),f2(a1)),f316(f93(a1),x101322)))
% 163.96/163.64 [10141]E(f38(a1,f316(f93(a1),f316(f316(f23(a1),f316(f316(f74(a1),x101411),x101411)),a87)),f316(f93(a1),f316(f316(f74(a1),x101412),x101412))),f316(f316(f23(a1),f316(f316(f75(a1),f316(f93(a1),f316(f316(f74(a1),f316(f316(f23(a1),f316(f316(f74(a1),a77),a77)),a87)),f316(f316(f23(a1),f316(f316(f74(a1),a77),a77)),a87)))),f38(a1,f316(f316(f74(a1),f316(f93(a1),x101411)),f72(a1)),f316(f93(a1),x101412)))),f72(a1)))+P107(f316(f316(f224(a1),f2(a1)),f316(f93(a1),x101412)))
% 163.96/163.64 [10196]~P2(x101961)+E(f30(x101961,f316(f251(x101961),f316(f316(f8(f905(x101961,a895),a895,x101961),f82(x101961)),f316(f316(f8(f905(x101961,a895),f905(x101961,a895),x101961),f316(f18(x101961,a895,a895),f316(f316(f8(a895,f905(a895,a895),x101961),a319),f316(f316(f7(x101961,f905(x101961,a895),a895),f318(x101961)),x101962)))),f224(x101961))))),f31(x101961,x101962))
% 163.96/163.64 [10220]~P36(x102201,x102202)+P58(x102201,f316(f316(f7(x102201,f905(f904(x102201,x102201),a895),f905(x102201,a895)),f316(f316(f8(f905(x102201,f905(f905(f904(x102201,x102201),a895),a895)),f905(f905(f904(x102201,x102201),a895),f905(x102201,a895)),x102201),f7(x102201,f905(f904(x102201,x102201),a895),a895)),f316(f316(f8(f905(x102201,f904(x102201,x102201)),f905(x102201,f905(f905(f904(x102201,x102201),a895),a895)),x102201),f316(f8(f904(x102201,x102201),f905(f905(f904(x102201,x102201),a895),a895),x102201),f318(f904(x102201,x102201)))),f241(x102201,x102201)))),x102202))
% 163.96/163.64 [10221]~P5(x102211,f231(f905(x102211,a895)),x102212)+P4(x102211,f316(f316(f7(x102211,f905(f904(x102211,x102211),a895),f905(x102211,a895)),f316(f316(f8(f905(x102211,f905(f905(f904(x102211,x102211),a895),a895)),f905(f905(f904(x102211,x102211),a895),f905(x102211,a895)),x102211),f7(x102211,f905(f904(x102211,x102211),a895),a895)),f316(f316(f8(f905(x102211,f904(x102211,x102211)),f905(x102211,f905(f905(f904(x102211,x102211),a895),a895)),x102211),f316(f8(f904(x102211,x102211),f905(f905(f904(x102211,x102211),a895),a895),x102211),f318(f904(x102211,x102211)))),f241(x102211,x102211)))),x102212))
% 163.96/163.64 [10264]P36(x102641,x102642)+~P58(x102641,f316(f316(f7(x102641,f905(f904(x102641,x102641),a895),f905(x102641,a895)),f316(f316(f8(f905(x102641,f905(f905(f904(x102641,x102641),a895),a895)),f905(f905(f904(x102641,x102641),a895),f905(x102641,a895)),x102641),f7(x102641,f905(f904(x102641,x102641),a895),a895)),f316(f316(f8(f905(x102641,f904(x102641,x102641)),f905(x102641,f905(f905(f904(x102641,x102641),a895),a895)),x102641),f316(f8(f904(x102641,x102641),f905(f905(f904(x102641,x102641),a895),a895),x102641),f318(f904(x102641,x102641)))),f241(x102641,x102641)))),x102642))
% 163.96/163.64 [10265]P5(x102651,f231(f905(x102651,a895)),x102652)+~P4(x102651,f316(f316(f7(x102651,f905(f904(x102651,x102651),a895),f905(x102651,a895)),f316(f316(f8(f905(x102651,f905(f905(f904(x102651,x102651),a895),a895)),f905(f905(f904(x102651,x102651),a895),f905(x102651,a895)),x102651),f7(x102651,f905(f904(x102651,x102651),a895),a895)),f316(f316(f8(f905(x102651,f904(x102651,x102651)),f905(x102651,f905(f905(f904(x102651,x102651),a895),a895)),x102651),f316(f8(f904(x102651,x102651),f905(f905(f904(x102651,x102651),a895),a895),x102651),f318(f904(x102651,x102651)))),f241(x102651,x102651)))),x102652))
% 163.96/163.64 [7395]E(f316(f316(f74(a898),f316(f93(a898),f316(f316(f23(a1),x73951),a87))),x73952),f316(a102,f316(f316(f74(a898),f316(f93(a898),x73951)),x73952)))+P107(f316(a183,f316(f93(a1),x73951)))
% 163.96/163.64 [7836]~P98(x78361)+E(f316(f316(f74(x78361),f316(f316(f74(x78361),f72(x78361)),f316(f93(x78361),x78362))),f316(f93(x78361),x78362)),f316(f93(x78361),f316(f316(f23(a1),f316(f316(f74(a1),x78362),x78362)),a87)))
% 163.96/163.64 [8481]~P107(f316(f316(f224(a1),x84811),x84812))+P107(f316(f316(f224(a1),f316(f316(f74(a1),x84811),x84811)),f316(f316(f23(a1),f316(f316(f74(a1),x84812),x84812)),a87)))
% 163.96/163.64 [8483]~P107(f316(f316(f224(a1),x84831),x84832))+P107(f316(f316(f225(a1),f316(f316(f74(a1),x84831),x84831)),f316(f316(f23(a1),f316(f316(f74(a1),x84832),x84832)),a87)))
% 163.96/163.64 [8914]P107(f316(f316(f224(a1),x89141),x89142))+~P107(f316(f316(f224(a1),f316(f316(f74(a1),x89141),x89141)),f316(f316(f23(a1),f316(f316(f74(a1),x89142),x89142)),a87)))
% 163.96/163.64 [8916]P107(f316(f316(f224(a1),x89161),x89162))+~P107(f316(f316(f225(a1),f316(f316(f74(a1),x89161),x89161)),f316(f316(f23(a1),f316(f316(f74(a1),x89162),x89162)),a87)))
% 163.96/163.64 [9208]~P107(f316(f316(f224(a1),x92081),x92082))+P107(f316(f316(f224(a1),f316(f316(f23(a1),f316(f316(f74(a1),x92081),x92081)),a87)),f316(f316(f23(a1),f316(f316(f74(a1),x92082),x92082)),a87)))
% 163.96/163.64 [9210]~P107(f316(f316(f225(a1),x92101),x92102))+P107(f316(f316(f225(a1),f316(f316(f23(a1),f316(f316(f74(a1),x92101),x92101)),a87)),f316(f316(f23(a1),f316(f316(f74(a1),x92102),x92102)),a87)))
% 163.96/163.64 [9479]P107(f316(f316(f224(a1),x94791),x94792))+~P107(f316(f316(f224(a1),f316(f316(f23(a1),f316(f316(f74(a1),x94791),x94791)),a87)),f316(f316(f23(a1),f316(f316(f74(a1),x94792),x94792)),a87)))
% 163.96/163.64 [9481]P107(f316(f316(f225(a1),x94811),x94812))+~P107(f316(f316(f225(a1),f316(f316(f23(a1),f316(f316(f74(a1),x94811),x94811)),a87)),f316(f316(f23(a1),f316(f316(f74(a1),x94812),x94812)),a87)))
% 163.96/163.64 [9514]~P107(f316(f54(x95141),x95142))+P107(f316(f54(f905(x95141,a895)),f316(f251(f905(x95141,a895)),f316(f316(f7(f905(x95141,a895),f905(x95141,a895),a895),f224(f905(x95141,a895))),x95142))))
% 163.96/163.64 [9564]~E(f316(f274(f904(a898,a898),f904(a898,a898),a98),f316(f316(f298(f904(a898,a898)),x95641),f178(f905(f904(a898,a898),a895)))),f316(f274(f904(a898,a898),f904(a898,a898),a98),f316(f316(f298(f904(a898,a898)),x95642),f178(f905(f904(a898,a898),a895)))))+P107(f316(f316(f318(f904(f904(a898,a898),f904(a898,a898))),f316(f316(f241(f904(a898,a898),f904(a898,a898)),x95641),x95642)),a98))
% 163.96/163.64 [9658]E(f316(f274(f904(a898,a898),f904(a898,a898),a98),f316(f316(f298(f904(a898,a898)),x96581),f178(f905(f904(a898,a898),a895)))),f316(f274(f904(a898,a898),f904(a898,a898),a98),f316(f316(f298(f904(a898,a898)),x96582),f178(f905(f904(a898,a898),a895)))))+~P107(f316(f316(f318(f904(f904(a898,a898),f904(a898,a898))),f316(f316(f241(f904(a898,a898),f904(a898,a898)),x96581),x96582)),a98))
% 163.96/163.64 [9694]P107(f316(f316(f224(a1),f2(a1)),f634(x96941,x96942)))+E(f316(f251(a1),f316(f316(f18(a1,a895,a895),f316(f316(f8(a895,f905(a895,a895),a1),a314),f316(f224(a1),f2(a1)))),x96941)),f316(f251(a1),f316(f316(f18(a1,a895,a895),f316(f316(f8(a895,f905(a895,a895),a1),a314),f316(f224(a1),f2(a1)))),x96942)))
% 163.96/163.64 [10204]~P2(x102041)+E(f31(x102041,f316(f251(x102041),f316(f316(f8(f905(x102041,a895),a895,x102041),f82(x102041)),f316(f316(f8(f905(x102041,a895),f905(x102041,a895),x102041),f316(f18(x102041,a895,a895),f316(f316(f8(a895,f905(a895,a895),x102041),a319),f316(f316(f7(x102041,f905(x102041,a895),a895),f318(x102041)),x102042)))),f316(f7(x102041,x102041,a895),f224(x102041)))))),f30(x102041,x102042))
% 163.96/163.64 [10226]P107(f316(f316(f318(a898),f2(a898)),x102261))+E(f316(f28(a898),f316(f251(a898),f316(f316(f18(a898,a895,a895),f316(f316(f8(a895,f905(a895,a895),a898),a314),f316(f316(f7(a898,f905(a898,a895),a895),f316(f316(f8(a898,f905(f905(a898,a895),a895),a898),f318(a898)),a102)),x102261))),f316(f316(f7(a898,a898,a895),f225(a898)),x102262)))),f316(f28(a898),f316(f251(a898),f316(f316(f18(a898,a895,a895),f316(f316(f8(a895,f905(a895,a895),a898),a314),f316(f316(f7(a898,f905(a898,a895),a895),f318(a898)),x102261))),f316(f316(f7(a898,a898,a895),f225(a898)),f316(a102,x102262))))))
% 163.96/163.64 [10284]P107(f316(f316(f276(a898),x102841),x102842))+~P107(f316(f316(f318(a898),x102842),f284(a898,f316(f316(f18(a898,f905(a898,a895),f905(a898,a895)),f316(f316(f8(f905(a898,f905(a895,a895)),f905(f905(a898,a895),f905(a898,a895)),a898),f18(a898,a895,a895)),f316(f316(f8(f905(a898,a895),f905(a898,f905(a895,a895)),a898),f316(f8(a895,f905(a895,a895),a898),a314)),f276(a898)))),f316(f316(f8(f905(a898,a895),f905(a898,a895),a898),f316(f8(a895,a895,a898),a311)),f316(f7(a898,a898,a895),f276(a898)))),x102841)))
% 163.96/163.64 [10285]P107(f316(f316(f276(a898),x102851),x102852))+~P107(f316(f316(f318(a898),x102851),f287(a898,f316(f316(f18(a898,f905(a898,a895),f905(a898,a895)),f316(f316(f8(f905(a898,f905(a895,a895)),f905(f905(a898,a895),f905(a898,a895)),a898),f18(a898,a895,a895)),f316(f316(f8(f905(a898,a895),f905(a898,f905(a895,a895)),a898),f316(f8(a895,f905(a895,a895),a898),a314)),f276(a898)))),f316(f316(f8(f905(a898,a895),f905(a898,a895),a898),f316(f8(a895,a895,a898),a311)),f316(f7(a898,a898,a895),f276(a898)))),x102852)))
% 163.96/163.64 [10286]~P107(f316(f316(f276(a898),x102861),x102862))+~P107(f316(f316(f318(a898),x102862),f287(a898,f316(f316(f18(a898,f905(a898,a895),f905(a898,a895)),f316(f316(f8(f905(a898,f905(a895,a895)),f905(f905(a898,a895),f905(a898,a895)),a898),f18(a898,a895,a895)),f316(f316(f8(f905(a898,a895),f905(a898,f905(a895,a895)),a898),f316(f8(a895,f905(a895,a895),a898),a314)),f276(a898)))),f316(f316(f8(f905(a898,a895),f905(a898,a895),a898),f316(f8(a895,a895,a898),a311)),f316(f7(a898,a898,a895),f276(a898)))),x102861)))
% 163.96/163.64 [10287]~P107(f316(f316(f276(a898),x102871),x102872))+~P107(f316(f316(f318(a898),x102871),f284(a898,f316(f316(f18(a898,f905(a898,a895),f905(a898,a895)),f316(f316(f8(f905(a898,f905(a895,a895)),f905(f905(a898,a895),f905(a898,a895)),a898),f18(a898,a895,a895)),f316(f316(f8(f905(a898,a895),f905(a898,f905(a895,a895)),a898),f316(f8(a895,f905(a895,a895),a898),a314)),f276(a898)))),f316(f316(f8(f905(a898,a895),f905(a898,a895),a898),f316(f8(a895,a895,a898),a311)),f316(f7(a898,a898,a895),f276(a898)))),x102872)))
% 163.96/163.64 [7703]~P98(x77031)+E(f316(f316(f75(x77031),x77032),f316(f93(x77031),f316(f316(f23(a1),f316(f316(f74(a1),a77),a77)),a87))),x77032)
% 163.96/163.64 [7969]~P98(x79691)+E(f316(f316(f74(x79691),f316(f93(x79691),x79692)),f72(x79691)),f316(f93(x79691),f316(f316(f74(a1),x79692),f316(f316(f23(a1),f316(f316(f74(a1),a77),a77)),a87))))
% 163.96/163.64 [8113]P107(f316(f316(f224(a1),f2(a1)),f316(f93(a1),x81132)))+E(f316(f316(f233(a1),x81131),f316(f93(a898),f316(f316(f23(a1),f316(f316(f74(a1),x81132),x81132)),a87))),f72(a1))
% 163.96/163.64 [9539]~P107(f316(f316(f224(a1),f2(a1)),f316(f93(a1),x95392)))+E(f316(f316(f233(a1),x95391),f316(f93(a898),f316(f316(f23(a1),f316(f316(f74(a1),x95392),x95392)),a87))),f316(f316(f80(a1,a1),f316(f316(f233(a1),x95391),f316(f93(a898),x95392))),f316(f316(f18(a1,a1,a1),f316(f316(f8(a1,f905(a1,a1),a1),f75(a1)),f316(f75(a1),x95391))),f5(a1))))
% 163.96/163.64 [9918]~P107(f316(f316(f224(a898),f640(x99182,x99181)),f316(x99181,f640(x99182,x99181))))+P107(f316(f54(a898),f316(f251(a898),f316(f316(f7(a898,a898,a895),f316(f316(f8(a898,f905(a898,a895),a898),f224(a898)),x99181)),x99182))))
% 163.96/163.64 [10054]~P107(f316(f316(f224(a898),f316(f93(a898),x100541)),f316(a102,x100542)))+P107(f316(f316(f80(a1,a895),f316(f93(a1),f316(f316(f74(a1),x100541),a87))),f316(f316(f18(a1,a895,a895),f316(f316(f8(a895,f905(a895,a895),a1),a319),f316(f316(f8(a895,a895,a1),a311),a183))),f316(f316(f7(a1,a898,a895),f316(f316(f8(a898,f905(a898,a895),a1),f224(a898)),a94)),x100542))))
% 163.96/163.64 [10055]~P107(f316(f316(f225(a898),f316(f93(a898),x100551)),f316(a102,x100552)))+P107(f316(f316(f80(a1,a895),f316(f93(a1),f316(f316(f74(a1),x100551),a87))),f316(f316(f18(a1,a895,a895),f316(f316(f8(a895,f905(a895,a895),a1),a319),f316(f316(f8(a895,a895,a1),a311),a183))),f316(f316(f7(a1,a898,a895),f316(f316(f8(a898,f905(a898,a895),a1),f225(a898)),a94)),x100552))))
% 163.96/163.64 [10116]P107(f316(f316(f224(a898),f316(f93(a898),x101161)),f316(a102,x101162)))+~P107(f316(f316(f80(a1,a895),f316(f93(a1),f316(f316(f74(a1),x101161),a87))),f316(f316(f18(a1,a895,a895),f316(f316(f8(a895,f905(a895,a895),a1),a319),f316(f316(f8(a895,a895,a1),a311),a183))),f316(f316(f7(a1,a898,a895),f316(f316(f8(a898,f905(a898,a895),a1),f224(a898)),a94)),x101162))))
% 163.96/163.64 [10117]P107(f316(f316(f225(a898),f316(f93(a898),x101171)),f316(a102,x101172)))+~P107(f316(f316(f80(a1,a895),f316(f93(a1),f316(f316(f74(a1),x101171),a87))),f316(f316(f18(a1,a895,a895),f316(f316(f8(a895,f905(a895,a895),a1),a319),f316(f316(f8(a895,a895,a1),a311),a183))),f316(f316(f7(a1,a898,a895),f316(f316(f8(a898,f905(a898,a895),a1),f225(a898)),a94)),x101172))))
% 163.96/163.64 [10147]~P107(f316(f316(f224(a898),f316(a102,x101472)),f316(f93(a898),x101471)))+P107(f316(f316(f80(a1,a895),f316(f93(a1),f316(f316(f74(a1),x101471),a87))),f316(f316(f18(a1,a895,a895),f316(f316(f8(a895,f905(a895,a895),a1),a314),f316(f316(f8(a895,a895,a1),a311),a183))),f316(f316(f18(a1,a895,a895),f316(f316(f8(a895,f905(a895,a895),a1),a319),f316(f316(f8(a895,a895,a1),a311),a183))),f316(f316(f8(a898,a895,a1),f316(f224(a898),x101472)),a94)))))
% 163.96/163.64 [10148]~P107(f316(f316(f225(a898),f316(a102,x101482)),f316(f93(a898),x101481)))+P107(f316(f316(f80(a1,a895),f316(f93(a1),f316(f316(f74(a1),x101481),a87))),f316(f316(f18(a1,a895,a895),f316(f316(f8(a895,f905(a895,a895),a1),a314),f316(f316(f8(a895,a895,a1),a311),a183))),f316(f316(f18(a1,a895,a895),f316(f316(f8(a895,f905(a895,a895),a1),a319),f316(f316(f8(a895,a895,a1),a311),a183))),f316(f316(f8(a898,a895,a1),f316(f225(a898),x101482)),a94)))))
% 163.96/163.64 [10194]P107(f316(f316(f224(a898),f316(a102,x101941)),f316(f93(a898),x101942)))+~P107(f316(f316(f80(a1,a895),f316(f93(a1),f316(f316(f74(a1),x101942),a87))),f316(f316(f18(a1,a895,a895),f316(f316(f8(a895,f905(a895,a895),a1),a314),f316(f316(f8(a895,a895,a1),a311),a183))),f316(f316(f18(a1,a895,a895),f316(f316(f8(a895,f905(a895,a895),a1),a319),f316(f316(f8(a895,a895,a1),a311),a183))),f316(f316(f8(a898,a895,a1),f316(f224(a898),x101941)),a94)))))
% 163.96/163.64 [10195]P107(f316(f316(f225(a898),f316(a102,x101951)),f316(f93(a898),x101952)))+~P107(f316(f316(f80(a1,a895),f316(f93(a1),f316(f316(f74(a1),x101952),a87))),f316(f316(f18(a1,a895,a895),f316(f316(f8(a895,f905(a895,a895),a1),a314),f316(f316(f8(a895,a895,a1),a311),a183))),f316(f316(f18(a1,a895,a895),f316(f316(f8(a895,f905(a895,a895),a1),a319),f316(f316(f8(a895,a895,a1),a311),a183))),f316(f316(f8(a898,a895,a1),f316(f225(a898),x101951)),a94)))))
% 163.96/163.64 [10274]~P107(f316(f316(f318(a898),f2(a898)),x102741))+E(f316(a102,f316(f28(a898),f316(f251(a898),f316(f316(f18(a898,a895,a895),f316(f316(f8(a895,f905(a895,a895),a898),a314),f316(f316(f7(a898,f905(a898,a895),a895),f316(f316(f8(a898,f905(f905(a898,a895),a895),a898),f318(a898)),a102)),x102741))),f316(f316(f7(a898,a898,a895),f225(a898)),x102742))))),f316(f28(a898),f316(f251(a898),f316(f316(f18(a898,a895,a895),f316(f316(f8(a895,f905(a895,a895),a898),a314),f316(f316(f7(a898,f905(a898,a895),a895),f318(a898)),x102741))),f316(f316(f7(a898,a898,a895),f225(a898)),f316(a102,x102742))))))
% 163.96/163.64 [8651]~P98(x86511)+E(f316(f316(f75(x86511),f316(f93(x86511),f316(f316(f23(a1),f316(f316(f74(a1),a77),a77)),a87))),x86512),x86512)
% 163.96/163.64 [8714]~P98(x87141)+E(f316(f316(f74(x87141),f72(x87141)),f316(f93(x87141),x87142)),f316(f93(x87141),f316(f316(f74(a1),f316(f316(f23(a1),f316(f316(f74(a1),a77),a77)),a87)),x87142)))
% 163.96/163.64 [8778]~P98(x87781)+E(f316(f316(f23(x87781),f316(f93(x87781),x87782)),f72(x87781)),f316(f93(x87781),f316(f316(f74(a1),x87782),f316(f73(a1),f316(f316(f23(a1),f316(f316(f74(a1),a77),a77)),a87)))))
% 163.96/163.64 [8933]~P107(f316(f316(f225(a898),f316(f93(a898),a77)),x89332))+E(f316(f316(f23(a898),x89331),f316(f316(f23(a898),x89332),f316(f93(a898),f316(f316(f23(a1),f316(f316(f74(a1),a77),a77)),a87)))),f316(f316(f23(a898),f316(a102,x89331)),x89332))
% 163.96/163.64 [9582]~P117(x95821)+E(f316(f316(f75(x95821),x95822),x95822),f316(f316(f233(x95821),x95822),f316(f93(a898),f316(f316(f74(a1),f316(f316(f23(a1),f316(f316(f74(a1),a77),a77)),a87)),f316(f316(f23(a1),f316(f316(f74(a1),a77),a77)),a87)))))
% 163.96/163.64 [9583]~P81(x95831)+E(f316(f316(f233(x95831),x95832),f316(f93(a898),f316(f316(f74(a1),f316(f316(f23(a1),f316(f316(f74(a1),a77),a77)),a87)),f316(f316(f23(a1),f316(f316(f74(a1),a77),a77)),a87)))),f316(f316(f75(x95831),x95832),x95832))
% 163.96/163.64 [9585]~P98(x95851)+E(f316(f316(f75(x95851),x95852),f316(f93(x95851),f316(f316(f74(a1),f316(f316(f23(a1),f316(f316(f74(a1),a77),a77)),a87)),f316(f316(f23(a1),f316(f316(f74(a1),a77),a77)),a87)))),f316(f316(f74(x95851),x95852),x95852))
% 163.96/163.64 [9834]~P141(x98341)+E(f316(f316(f233(x98341),f316(f73(x98341),x98342)),f316(f93(a898),f316(f316(f74(a1),f316(f316(f23(a1),f316(f316(f74(a1),a77),a77)),a87)),f316(f316(f23(a1),f316(f316(f74(a1),a77),a77)),a87)))),f316(f316(f233(x98341),x98342),f316(f93(a898),f316(f316(f74(a1),f316(f316(f23(a1),f316(f316(f74(a1),a77),a77)),a87)),f316(f316(f23(a1),f316(f316(f74(a1),a77),a77)),a87)))))
% 163.96/163.64 [9835]~P123(x98351)+E(f316(f316(f233(x98351),f316(f69(x98351),x98352)),f316(f93(a898),f316(f316(f74(a1),f316(f316(f23(a1),f316(f316(f74(a1),a77),a77)),a87)),f316(f316(f23(a1),f316(f316(f74(a1),a77),a77)),a87)))),f316(f316(f233(x98351),x98352),f316(f93(a898),f316(f316(f74(a1),f316(f316(f23(a1),f316(f316(f74(a1),a77),a77)),a87)),f316(f316(f23(a1),f316(f316(f74(a1),a77),a77)),a87)))))
% 163.96/163.64 [9831]~P98(x98311)+E(f316(f316(f75(x98311),f316(f93(x98311),f316(f316(f74(a1),f316(f316(f23(a1),f316(f316(f74(a1),a77),a77)),a87)),f316(f316(f23(a1),f316(f316(f74(a1),a77),a77)),a87)))),x98312),f316(f316(f74(x98311),x98312),x98312))
% 163.96/163.64 [9951]~P123(x99511)+E(f316(f69(x99511),f316(f316(f233(x99511),x99512),f316(f93(a898),f316(f316(f74(a1),f316(f316(f23(a1),f316(f316(f74(a1),a77),a77)),a87)),f316(f316(f23(a1),f316(f316(f74(a1),a77),a77)),a87))))),f316(f316(f233(x99511),x99512),f316(f93(a898),f316(f316(f74(a1),f316(f316(f23(a1),f316(f316(f74(a1),a77),a77)),a87)),f316(f316(f23(a1),f316(f316(f74(a1),a77),a77)),a87)))))
% 163.96/163.64 [10016]~P123(x100161)+P107(f316(f316(f224(x100161),f2(x100161)),f316(f316(f233(x100161),x100162),f316(f93(a898),f316(f316(f74(a1),f316(f316(f23(a1),f316(f316(f74(a1),a77),a77)),a87)),f316(f316(f23(a1),f316(f316(f74(a1),a77),a77)),a87))))))
% 163.96/163.64 [10185]~E(f316(a102,x101852),f316(f93(a898),x101851))+P107(f316(f316(f80(a1,a895),f316(f93(a1),f316(f316(f74(a1),x101851),a87))),f316(f316(f18(a1,a895,a895),f316(f316(f8(a895,f905(a895,a895),a1),a314),f316(f316(f8(a895,a895,a1),a311),a183))),f316(f316(f18(a1,a895,a895),f316(f316(f8(a895,f905(a895,a895),a1),a319),f316(f316(f8(a895,a895,a1),a311),a183))),f316(f316(f7(a1,a898,a895),f316(f316(f8(a898,f905(a898,a895),a1),a313),a94)),x101852)))))
% 163.96/163.64 [10186]~E(f316(f93(a898),x101861),f316(a102,x101862))+P107(f316(f316(f80(a1,a895),f316(f93(a1),f316(f316(f74(a1),x101861),a87))),f316(f316(f18(a1,a895,a895),f316(f316(f8(a895,f905(a895,a895),a1),a314),f316(f316(f8(a895,a895,a1),a311),a183))),f316(f316(f18(a1,a895,a895),f316(f316(f8(a895,f905(a895,a895),a1),a319),f316(f316(f8(a895,a895,a1),a311),a183))),f316(f316(f7(a1,a898,a895),f316(f316(f8(a898,f905(a898,a895),a1),a313),a94)),x101862)))))
% 163.96/163.64 [10229]E(f316(a102,x102291),f316(f93(a898),x102292))+~P107(f316(f316(f80(a1,a895),f316(f93(a1),f316(f316(f74(a1),x102292),a87))),f316(f316(f18(a1,a895,a895),f316(f316(f8(a895,f905(a895,a895),a1),a314),f316(f316(f8(a895,a895,a1),a311),a183))),f316(f316(f18(a1,a895,a895),f316(f316(f8(a895,f905(a895,a895),a1),a319),f316(f316(f8(a895,a895,a1),a311),a183))),f316(f316(f7(a1,a898,a895),f316(f316(f8(a898,f905(a898,a895),a1),a313),a94)),x102291)))))
% 163.96/163.64 [10230]E(f316(f93(a898),x102301),f316(a102,x102302))+~P107(f316(f316(f80(a1,a895),f316(f93(a1),f316(f316(f74(a1),x102301),a87))),f316(f316(f18(a1,a895,a895),f316(f316(f8(a895,f905(a895,a895),a1),a314),f316(f316(f8(a895,a895,a1),a311),a183))),f316(f316(f18(a1,a895,a895),f316(f316(f8(a895,f905(a895,a895),a1),a319),f316(f316(f8(a895,a895,a1),a311),a183))),f316(f316(f7(a1,a898,a895),f316(f316(f8(a898,f905(a898,a895),a1),a313),a94)),x102302)))))
% 163.96/163.64 [10275]~P12(x102751,x102752)+P107(f316(f316(f318(f905(x102751,a895)),f803(x102752,x102751)),f316(f316(f8(f905(x102751,a895),a895,f905(x102751,a895)),f81(x102751)),f316(f316(f8(f905(x102751,a895),f905(x102751,a895),f905(x102751,a895)),f316(f18(x102751,a895,a895),f316(f316(f8(a895,f905(a895,a895),x102751),a314),f316(f316(f18(x102751,x102751,a895),x102752),f5(x102751))))),f316(f316(f7(f905(x102751,a895),f905(x102751,f905(x102751,a895)),f905(x102751,a895)),f316(f316(f8(f905(f905(x102751,a895),a895),f905(f905(x102751,f905(x102751,a895)),f905(x102751,a895)),f905(x102751,a895)),f8(f905(x102751,a895),a895,x102751)),a313)),x102752)))))
% 163.96/163.64 [10014]~P98(x100141)+E(f316(f316(f233(x100141),f316(f93(x100141),a87)),f316(f316(f75(a898),f316(f93(a898),f316(f316(f74(a1),f316(f316(f23(a1),f316(f316(f74(a1),a77),a77)),a87)),f316(f316(f23(a1),f316(f316(f74(a1),a77),a77)),a87)))),x100142)),f72(x100141))
% 163.96/163.64 [10015]~P141(x100151)+E(f316(f316(f233(x100151),f316(f73(x100151),f72(x100151))),f316(f316(f75(a898),f316(f93(a898),f316(f316(f74(a1),f316(f316(f23(a1),f316(f316(f74(a1),a77),a77)),a87)),f316(f316(f23(a1),f316(f316(f74(a1),a77),a77)),a87)))),x100152)),f72(x100151))
% 163.96/163.64 [10018]~P81(x100181)+E(f316(f316(f233(x100181),x100182),f316(f93(a898),f316(f316(f23(a1),f316(f316(f74(a1),f316(f316(f23(a1),f316(f316(f74(a1),a77),a77)),a87)),f316(f316(f23(a1),f316(f316(f74(a1),a77),a77)),a87))),a87))),f316(f316(f75(x100181),f316(f316(f75(x100181),x100182),x100182)),x100182))
% 163.96/163.64 [10209]~P107(f316(f316(f224(a1),f2(a1)),x102092))+E(f38(a1,f316(f316(f74(a1),f72(a1)),f316(f316(f75(a1),f316(f93(a1),f316(f316(f74(a1),f316(f316(f23(a1),f316(f316(f74(a1),a77),a77)),a87)),f316(f316(f23(a1),f316(f316(f74(a1),a77),a77)),a87)))),x102091)),f316(f316(f75(a1),f316(f93(a1),f316(f316(f74(a1),f316(f316(f23(a1),f316(f316(f74(a1),a77),a77)),a87)),f316(f316(f23(a1),f316(f316(f74(a1),a77),a77)),a87)))),x102092)),f316(f316(f74(a1),f72(a1)),f316(f316(f75(a1),f316(f93(a1),f316(f316(f74(a1),f316(f316(f23(a1),f316(f316(f74(a1),a77),a77)),a87)),f316(f316(f23(a1),f316(f316(f74(a1),a77),a77)),a87)))),f38(a1,x102091,x102092))))
% 163.96/163.64 [10232]~P107(f316(f316(f224(a1),f2(a1)),x102322))+E(f316(f316(f29(a1),f316(f316(f74(a1),f72(a1)),f316(f316(f75(a1),f316(f93(a1),f316(f316(f74(a1),f316(f316(f23(a1),f316(f316(f74(a1),a77),a77)),a87)),f316(f316(f23(a1),f316(f316(f74(a1),a77),a77)),a87)))),x102321))),f316(f316(f75(a1),f316(f93(a1),f316(f316(f74(a1),f316(f316(f23(a1),f316(f316(f74(a1),a77),a77)),a87)),f316(f316(f23(a1),f316(f316(f74(a1),a77),a77)),a87)))),x102322)),f316(f316(f29(a1),x102321),x102322))
% 163.96/163.64 [10234]~P107(f316(f316(f224(a1),x102342),f2(a1)))+E(f316(f316(f29(a1),f316(f316(f74(a1),f72(a1)),f316(f316(f75(a1),f316(f93(a1),f316(f316(f74(a1),f316(f316(f23(a1),f316(f316(f74(a1),a77),a77)),a87)),f316(f316(f23(a1),f316(f316(f74(a1),a77),a77)),a87)))),x102341))),f316(f316(f75(a1),f316(f93(a1),f316(f316(f74(a1),f316(f316(f23(a1),f316(f316(f74(a1),a77),a77)),a87)),f316(f316(f23(a1),f316(f316(f74(a1),a77),a77)),a87)))),x102342)),f316(f316(f29(a1),f316(f316(f74(a1),x102341),f72(a1))),x102342))
% 163.96/163.64 [10235]~P107(f316(f316(f224(a1),x102352),f2(a1)))+E(f38(a1,f316(f316(f74(a1),f72(a1)),f316(f316(f75(a1),f316(f93(a1),f316(f316(f74(a1),f316(f316(f23(a1),f316(f316(f74(a1),a77),a77)),a87)),f316(f316(f23(a1),f316(f316(f74(a1),a77),a77)),a87)))),x102351)),f316(f316(f75(a1),f316(f93(a1),f316(f316(f74(a1),f316(f316(f23(a1),f316(f316(f74(a1),a77),a77)),a87)),f316(f316(f23(a1),f316(f316(f74(a1),a77),a77)),a87)))),x102352)),f316(f316(f23(a1),f316(f316(f75(a1),f316(f93(a1),f316(f316(f74(a1),f316(f316(f23(a1),f316(f316(f74(a1),a77),a77)),a87)),f316(f316(f23(a1),f316(f316(f74(a1),a77),a77)),a87)))),f38(a1,f316(f316(f74(a1),x102351),f72(a1)),x102352))),f72(a1)))
% 163.96/163.64 [10107]~P98(x101071)+E(f316(f316(f233(x101071),f316(f93(x101071),a87)),f316(a102,f316(f316(f75(a898),f316(f93(a898),f316(f316(f74(a1),f316(f316(f23(a1),f316(f316(f74(a1),a77),a77)),a87)),f316(f316(f23(a1),f316(f316(f74(a1),a77),a77)),a87)))),x101072))),f316(f93(x101071),a87))
% 163.96/163.64 [10109]~P141(x101091)+E(f316(f316(f233(x101091),f316(f73(x101091),f72(x101091))),f316(a102,f316(f316(f75(a898),f316(f93(a898),f316(f316(f74(a1),f316(f316(f23(a1),f316(f316(f74(a1),a77),a77)),a87)),f316(f316(f23(a1),f316(f316(f74(a1),a77),a77)),a87)))),x101092))),f316(f73(x101091),f72(x101091)))
% 163.96/163.64 [5026]P37(x50261,x50262)+~P5(x50261,x50263,x50262)
% 163.96/163.64 [5028]P50(x50281,x50282)+~P5(x50281,x50283,x50282)
% 163.96/163.64 [5201]~P5(x52011,x52012,x52013)+P52(x52011,x52012,x52013)
% 163.96/163.64 [8179]~E(x81792,x81793)+P33(x81791,x81791,a313,x81792,x81793)
% 163.96/163.64 [8728]E(x87281,x87282)+~P33(x87283,x87283,a313,x87281,x87282)
% 163.96/163.64 [4830]E(f159(x48301,x48302,x48303),f103(x48301))+~E(x48302,f2(a898))
% 163.96/163.64 [4998]~E(f159(x49982,x49981,x49983),f103(x49982))+E(x49981,f2(a898))
% 163.96/163.64 [5206]~P36(x52061,x52063)+P36(x52061,f310(x52061,x52062,x52063))
% 163.96/163.64 [5315]~P28(x53151,x53152,x53153)+P30(a1,x53151,f168(x53152,x53153))
% 163.96/163.64 [5383]P28(x53831,x53832,x53833)+~P30(a1,x53831,f168(x53832,x53833))
% 163.96/163.64 [5454]~P5(x54541,x54542,x54543)+P5(f899(x54541),f151(x54541,x54542),f148(x54541,x54543))
% 163.96/163.64 [5455]~P52(x54551,x54552,x54553)+P52(f899(x54551),f151(x54551,x54552),f148(x54551,x54553))
% 163.96/163.64 [5568]P54(x55681,x55682,x55683)+~E(f586(x55683,x55682,x55681),f587(x55683,x55682,x55681))
% 163.96/163.64 [5569]P51(x55691,x55692,x55693)+~E(f812(x55693,x55692,x55691),f813(x55693,x55692,x55691))
% 163.96/163.64 [8185]~E(x81852,x81853)+P23(x81851,x81851,f25(x81851),x81852,x81853)
% 163.96/163.64 [8736]E(x87361,x87362)+~P23(x87363,x87363,f25(x87363),x87361,x87362)
% 163.96/163.64 [4785]~E(f316(f158(x47852),x47851),x47853)+E(x47851,f316(f158(x47852),x47853))
% 163.96/163.64 [4786]~E(x47862,f316(f158(x47861),x47863))+E(f316(f158(x47861),x47862),x47863)
% 163.96/163.64 [4836]E(x48361,x48362)+~E(f316(f158(x48363),x48361),f316(f158(x48363),x48362))
% 163.96/163.64 [5052]~P4(x50523,x50521)+P107(f316(f316(x50521,x50522),x50522))
% 163.96/163.64 [5053]~P47(x50533,x50531)+P107(f316(f316(x50531,x50532),x50532))
% 163.96/163.64 [5055]~P58(x50551,x50552)+P107(f316(f304(x50551,x50552),x50553))
% 163.96/163.64 [5121]~P36(x51211,x51212)+P36(f899(x51211),f316(f133(x51211,x51212),x51213))
% 163.96/163.64 [5126]~P107(f316(x51262,x51263))+~E(f316(f251(x51261),x51262),f178(f905(x51261,a895)))
% 163.96/163.64 [5127]~P107(f316(x51272,x51273))+~E(f178(f905(x51271,a895)),f316(f251(x51271),x51272))
% 163.96/163.64 [5139]E(x51391,f2(a898))+E(f134(x51392,f159(x51392,x51391,x51393)),x51393)
% 163.96/163.64 [5158]~P107(f316(x51581,x51583))+P107(f316(x51581,f84(x51582,x51581)))
% 163.96/163.64 [5159]~P107(f316(x51591,x51593))+P107(f316(x51591,f729(x51591,x51592)))
% 163.96/163.64 [5171]E(x51711,f2(a898))+E(f316(f131(x51712),f159(x51712,x51711,x51713)),x51713)
% 163.96/163.64 [5277]~E(x52772,x52773)+P107(f316(f316(f318(x52771),x52772),f316(a313,x52773)))
% 163.96/163.64 [5292]~E(x52922,f2(a898))+E(f316(f162(x52921),f159(x52921,x52922,x52923)),f178(f905(x52921,a895)))
% 163.96/163.64 [5337]E(f316(f158(x53371),x53372),f316(f316(f141(x53371),x53373),f103(x53371)))+~E(x53372,f316(f316(f141(x53371),x53373),f103(x53371)))
% 163.96/163.64 [5338]~E(x53383,f316(f316(f141(x53381),x53382),f103(x53381)))+E(f316(f316(f141(x53381),x53382),f103(x53381)),f316(f158(x53381),x53383))
% 163.96/163.64 [5379]~P32(x53791,x53792,x53793)+P32(x53791,x53792,f316(f158(x53791),x53793))
% 163.96/163.64 [5380]~P30(x53801,x53802,x53803)+P30(x53801,x53802,f316(f158(x53801),x53803))
% 163.96/163.64 [5384]E(f316(f28(x53841),f400(x53842,x53843,x53841)),x53842)+~E(f316(f28(x53841),x53843),f316(a102,x53842))
% 163.96/163.64 [5391]~P36(x53911,x53913)+P107(f316(f316(f318(x53911),x53912),f305(x53911,x53913)))
% 163.96/163.64 [5395]~E(f316(f158(x53952),x53951),f316(f316(f141(x53952),x53953),f103(x53952)))+E(x53951,f316(f316(f141(x53952),x53953),f103(x53952)))
% 163.96/163.64 [5396]~E(f316(f316(f141(x53962),x53963),f103(x53962)),f316(f158(x53962),x53961))+E(x53961,f316(f316(f141(x53962),x53963),f103(x53962)))
% 163.96/163.64 [5419]E(f79(f904(a898,a898),f41(x54191,x54192)),x54193)+~P107(f316(f41(x54191,x54192),x54193))
% 163.96/163.64 [5458]P32(x54581,x54582,x54583)+~P32(x54581,x54582,f316(f158(x54581),x54583))
% 163.96/163.64 [5459]P30(x54591,x54592,x54593)+~P30(x54591,x54592,f316(f158(x54591),x54593))
% 163.96/163.64 [5498]P107(f316(f316(x54981,x54982),x54982))+~P107(f316(f259(x54983,x54981),x54982))
% 163.96/163.64 [5499]~P107(f316(f316(x54992,x54993),x54993))+P107(f316(f259(x54991,x54992),x54993))
% 163.96/163.64 [5521]~E(x55212,f103(x55211))+P107(f316(f316(f318(f899(x55211)),x55212),f151(x55211,x55213)))
% 163.96/163.64 [5531]~P54(x55311,x55312,x55313)+P54(x55311,x55312,f316(f275(x55311,x55311),x55313))
% 163.96/163.64 [5532]~P52(x55321,x55322,x55323)+P52(x55321,x55322,f316(f275(x55321,x55321),x55323))
% 163.96/163.64 [5549]~P62(x55491)+E(f38(x55491,f38(x55491,x55492,x55493),x55493),f38(x55491,x55492,x55493))
% 163.96/163.64 [5652]E(x56521,x56522)+~P107(f316(f316(f318(x56523),x56521),f316(a313,x56522)))
% 163.96/163.64 [5699]~P146(x56991)+E(f180(x56991,x56992,f2(a898),x56993),x56993)
% 163.96/163.64 [5721]P54(x57211,x57212,x57213)+~P54(x57211,x57212,f316(f275(x57211,x57211),x57213))
% 163.96/163.64 [5722]P52(x57221,x57222,x57223)+~P52(x57221,x57222,f316(f275(x57221,x57221),x57223))
% 163.96/163.64 [5726]~P108(x57262)+E(f140(x57261,x57262,x57263,f103(x57261)),f103(x57261))
% 163.96/163.64 [5738]E(f160(x57381,x57382,f142(x57381,x57383)),f142(x57381,f160(x57381,x57382,x57383)))+~P107(f316(f127(x57381),x57383))
% 163.96/163.64 [5837]~P107(f316(f316(x58373,x58372),x58372))+P107(f316(f316(f318(x58371),x58372),f259(x58371,x58373)))
% 163.96/163.64 [5839]E(f316(f126(x58391,x58392),x58393),f103(x58391))+P107(f316(x58392,f664(x58393,x58392,x58391)))
% 163.96/163.64 [5908]E(f61(x59081,x59082,x59083),x59082)+P107(f316(x59083,f730(x59082,x59081,x59083)))
% 163.96/163.64 [6003]~P107(f316(f127(x60031),x60032))+P107(f316(f127(x60031),f166(x60031,x60032,x60033)))
% 163.96/163.64 [6004]~P107(f316(f127(x60041),x60043))+P107(f316(f127(x60041),f160(x60041,x60042,x60043)))
% 163.96/163.65 [6005]~P107(f316(f127(x60051),x60053))+P107(f316(f127(x60051),f167(x60051,x60052,x60053)))
% 163.96/163.65 [6006]~P107(f316(f127(x60061),x60063))+P107(f316(f127(x60061),f130(x60061,x60062,x60063)))
% 163.96/163.65 [6007]~P148(x60071,x60073,x60072)+P107(f316(x60071,f38(a1,x60072,x60073)))
% 163.96/163.65 [6023]~P32(x60233,x60231,x60232)+P107(f316(x60231,f742(x60232,x60231,x60233)))
% 163.96/163.65 [6024]~P34(x60243,x60241,x60242)+P107(f316(x60241,f749(x60242,x60241,x60243)))
% 163.96/163.65 [6025]~P34(x60253,x60251,x60252)+P107(f316(x60251,f761(x60252,x60251,x60253)))
% 163.96/163.65 [6026]~P32(x60263,x60261,x60262)+P107(f316(x60261,f786(x60261,x60262,x60263)))
% 163.96/163.65 [6027]~P32(x60273,x60271,x60272)+P107(f316(x60271,f789(x60272,x60271,x60273)))
% 163.96/163.65 [6032]P107(f316(f316(x60321,x60322),x60322))+~P107(f316(f316(f318(x60323),x60322),f259(x60323,x60321)))
% 163.96/163.65 [6047]E(f316(f126(x60471,x60472),x60473),f167(x60471,x60472,x60473))+P107(f316(x60472,f714(x60473,x60472,x60471)))
% 163.96/163.65 [6087]~P107(f316(f127(x60871),x60873))+P107(f316(f127(f899(x60871)),f48(x60871,x60872,x60873)))
% 163.96/163.65 [6123]~P111(x61231)+E(f316(f316(f91(f905(x61231,a895)),f316(f271(x61231),x61232)),f292(x61231,x61232,x61233)),f178(f905(x61231,a895)))
% 163.96/163.65 [6124]~P111(x61241)+E(f316(f316(f91(f905(x61241,a895)),f316(f290(x61241),x61242)),f295(x61241,x61242,x61243)),f178(f905(x61241,a895)))
% 163.96/163.65 [6125]~P111(x61251)+E(f316(f316(f91(f905(x61251,a895)),f316(f290(x61251),x61252)),f294(x61251,x61252,x61253)),f178(f905(x61251,a895)))
% 163.96/163.65 [6359]E(f316(f126(x63591,x63592),x63593),x63593)+~P107(f316(x63592,f665(x63593,x63592,x63591)))
% 163.96/163.65 [6361]E(f316(f316(f298(x63611),f401(x63612,x63613,x63611)),f400(x63612,x63613,x63611)),x63613)+~E(f316(f28(x63611),x63613),f316(a102,x63612))
% 163.96/163.65 [6377]P148(x63771,x63772,x63773)+~P107(f316(x63771,f38(a1,x63773,x63772)))
% 163.96/163.65 [6429]P30(x64291,x64292,x64293)+~P107(f316(x64292,f750(x64293,x64292,x64291)))
% 163.96/163.65 [6430]P30(x64301,x64302,x64303)+~P107(f316(x64302,f759(x64302,x64303,x64301)))
% 163.96/163.65 [6431]P30(x64311,x64312,x64313)+~P107(f316(x64312,f760(x64313,x64312,x64311)))
% 163.96/163.65 [6432]P28(x64321,x64322,x64323)+~P107(f316(x64321,f774(x64323,x64322,x64321)))
% 163.96/163.65 [6433]P29(x64331,x64332,x64333)+~P107(f316(x64331,f832(x64333,x64332,x64331)))
% 163.96/163.65 [6435]E(f167(x64351,x64352,x64353),x64353)+~P107(f316(x64352,f709(x64353,x64352,x64351)))
% 163.96/163.65 [6516]~P107(f316(x65162,f573(x65163,x65162,x65161)))+P107(f316(f237(x65161,x65162),x65163))
% 163.96/163.65 [6517]~P107(f316(x65172,f666(x65173,x65172,x65171)))+P107(f316(f150(x65171,x65172),x65173))
% 163.96/163.65 [6772]~P107(f316(f304(x67721,x67722),f433(x67723,x67722,x67721)))+P107(f316(f304(x67721,x67722),x67723))
% 163.96/163.65 [6773]~P107(f316(f304(x67731,x67732),f440(x67733,x67732,x67731)))+P107(f316(f304(x67731,x67732),x67733))
% 163.96/163.65 [7396]~P62(x73961)+E(f316(f316(f74(x73961),f316(f316(f75(x73961),x73962),f316(f316(f29(x73961),x73963),x73962))),f38(x73961,x73963,x73962)),x73963)
% 163.96/163.65 [7425]P28(x74251,x74252,x74253)+P107(f316(f316(f318(a1),f774(x74253,x74252,x74251)),f292(a1,x74252,x74253)))
% 163.96/163.65 [7857]E(f316(f316(f241(x78571,x78571),f668(x78572,x78573,x78571)),f668(x78572,x78573,x78571)),x78573)+~P107(f316(f316(f318(f904(x78571,x78571)),x78573),f252(x78571,x78572)))
% 163.96/163.65 [7977]~P107(f316(f316(f318(x79771),f556(x79773,x79772,x79771)),f305(x79771,x79773)))+P107(f316(f316(f318(x79771),x79772),f305(x79771,x79773)))
% 163.96/163.65 [7978]~P107(f316(f316(f318(x79781),f591(x79783,x79782,x79781)),f305(x79781,x79783)))+P107(f316(f316(f318(x79781),x79782),f305(x79781,x79783)))
% 163.96/163.65 [7979]~P107(f316(f316(f318(x79791),f593(x79793,x79792,x79791)),f305(x79791,x79793)))+P107(f316(f316(f318(x79791),x79792),f305(x79791,x79793)))
% 163.96/163.65 [8071]P32(a1,x80711,f168(x80712,x80713))+P28(f316(f66(a895,a895,a1,a311),x80711),x80712,x80713)
% 163.96/163.65 [8160]~P62(x81601)+E(f316(f316(f74(x81601),f316(f316(f75(x81601),f316(f316(f29(x81601),x81602),x81603)),x81603)),f38(x81601,x81602,x81603)),x81602)
% 163.96/163.65 [8206]~E(f316(f28(x82061),x82062),f316(a102,x82063))+~P107(f316(f316(f318(x82061),f401(x82063,x82062,x82061)),f400(x82063,x82062,x82061)))
% 163.96/163.65 [8643]~P32(a1,x86431,f168(x86432,x86433))+~P28(f316(f66(a895,a895,a1,a311),x86431),x86432,x86433)
% 163.96/163.65 [8835]P107(f316(f316(f224(f905(f904(x88351,x88351),a895)),f296(x88351,x88352)),f296(x88351,x88353)))+~P107(f316(f316(f224(f905(f904(x88351,x88351),a895)),x88352),f296(x88351,x88353)))
% 163.96/163.65 [9119]E(x91191,f103(x91192))+~P107(f316(f316(f318(f904(f899(x91192),f899(x91192))),f316(f316(f241(f899(x91192),f899(x91192)),x91191),f103(x91192))),f148(x91192,x91193)))
% 163.96/163.65 [9143]E(x91431,f103(x91432))+~P107(f316(f316(f318(f904(f899(x91432),f899(x91432))),f316(f316(f241(f899(x91432),f899(x91432)),f103(x91432)),x91431)),f148(x91432,x91433)))
% 163.96/163.65 [9268]E(f316(f316(f141(x92681),f683(x92682,x92683,x92681)),f684(x92682,x92683,x92681)),x92683)+~P107(f316(f316(f318(f904(f899(x92681),f899(x92681))),f316(f316(f241(f899(x92681),f899(x92681)),f103(x92681)),x92683)),f137(x92681,x92682)))
% 163.96/163.65 [9507]~P127(x95071)+~P107(f316(f316(f225(x95071),f316(f316(f74(x95071),f316(f316(f75(x95071),x95072),x95072)),f316(f316(f75(x95071),x95073),x95073))),f2(x95071)))
% 163.96/163.65 [9556]P107(f316(f54(x95561),x95562))+~P107(f316(f316(f318(f904(f905(x95561,a895),f905(x95561,a895))),f316(f316(f241(f905(x95561,a895),f905(x95561,a895)),x95563),x95562)),f303(x95561)))
% 163.96/163.65 [9861]~P45(x98611,x98612,x98613)+P107(f316(f316(f224(a1),f316(f316(f66(f904(a1,a1),a1,x98611,f240(a1,a1)),f202(x98611)),f220(x98611,x98612,f217(x98611,x98613)))),f2(a1)))
% 163.96/163.65 [9862]~P46(x98621,x98622,x98623)+P107(f316(f316(f225(a1),f316(f316(f66(f904(a1,a1),a1,x98621,f240(a1,a1)),f202(x98621)),f220(x98621,x98622,f217(x98621,x98623)))),f2(a1)))
% 163.96/163.65 [9982]P46(x99821,x99822,x99823)+~P107(f316(f316(f225(a1),f316(f316(f66(f904(a1,a1),a1,x99821,f240(a1,a1)),f202(x99821)),f220(x99821,x99822,f217(x99821,x99823)))),f2(a1)))
% 163.96/163.65 [9983]P45(x99831,x99832,x99833)+~P107(f316(f316(f224(a1),f316(f316(f66(f904(a1,a1),a1,x99831,f240(a1,a1)),f202(x99831)),f220(x99831,x99832,f217(x99831,x99833)))),f2(a1)))
% 163.96/163.65 [10338]~P123(x103381)+~P107(f316(f316(f225(x103381),f316(f316(f74(x103381),f316(f316(f233(x103381),x103382),f316(f93(a898),f316(f316(f74(a1),f316(f316(f23(a1),f316(f316(f74(a1),a77),a77)),a87)),f316(f316(f23(a1),f316(f316(f74(a1),a77),a77)),a87))))),f316(f316(f233(x103381),x103383),f316(f93(a898),f316(f316(f74(a1),f316(f316(f23(a1),f316(f316(f74(a1),a77),a77)),a87)),f316(f316(f23(a1),f316(f316(f74(a1),a77),a77)),a87)))))),f2(x103381)))
% 163.96/163.65 [4815]~E(x48153,f103(x48151))+E(f316(f316(f124(x48151),x48152),x48153),x48152)
% 163.96/163.65 [4816]~E(x48162,f103(x48161))+E(f316(f316(f124(x48161),x48162),x48163),x48163)
% 163.96/163.65 [4822]~E(x48222,f2(a898))+E(f316(f316(f165(x48221),x48222),x48223),f103(x48221))
% 163.96/163.65 [4831]~E(x48313,f103(x48311))+E(f316(f316(f165(x48311),x48312),x48313),f103(x48311))
% 163.96/163.65 [4870]~E(x48701,x48703)+E(x48701,f316(f316(f124(x48702),f103(x48702)),x48703))
% 163.96/163.65 [4961]~P1(x49612)+E(f316(f178(f905(x49611,x49612)),x49613),f178(x49612))
% 163.96/163.65 [4962]~P112(x49622)+E(f316(f231(f905(x49621,x49622)),x49623),f231(x49622))
% 163.96/163.65 [4980]E(x49801,f103(x49802))+~E(f316(f316(f124(x49802),x49803),x49801),x49803)
% 163.96/163.65 [4981]E(x49811,f103(x49812))+~E(f316(f316(f124(x49812),x49811),x49813),x49813)
% 163.96/163.65 [4989]E(x49891,f103(x49892))+~E(f316(f316(f124(x49892),x49893),x49891),f103(x49892))
% 163.96/163.65 [4990]E(x49901,f103(x49902))+~E(f316(f316(f124(x49902),x49901),x49903),f103(x49902))
% 163.96/163.65 [5019]~E(x50192,f2(a898))+E(f316(f316(f75(a898),x50191),x50192),f316(f316(f75(a898),x50193),x50192))
% 163.96/163.65 [5021]~E(x50211,f2(a898))+E(f316(f316(f75(a898),x50211),x50212),f316(f316(f75(a898),x50211),x50213))
% 163.96/163.65 [5080]~P83(x50801)+E(f316(f316(f100(x50801),x50802),x50803),f316(f316(f100(x50801),x50803),x50802))
% 163.96/163.65 [5081]~P84(x50811)+E(f316(f316(f100(x50811),x50812),x50813),f316(f316(f100(x50811),x50813),x50812))
% 163.96/163.65 [5082]~P84(x50821)+E(f316(f316(f91(x50821),x50822),x50823),f316(f316(f91(x50821),x50823),x50822))
% 163.96/163.65 [5084]~P103(x50841)+E(f316(f316(f91(x50841),x50842),x50843),f316(f316(f91(x50841),x50843),x50842))
% 163.96/163.65 [5085]~P117(x50851)+E(f316(f316(f75(x50851),x50852),x50853),f316(f316(f75(x50851),x50853),x50852))
% 163.96/163.65 [5086]~P117(x50861)+E(f316(f316(f74(x50861),x50862),x50863),f316(f316(f74(x50861),x50863),x50862))
% 163.96/163.65 [5088]~P108(x50881)+E(f316(f316(f222(x50881),x50882),x50883),f316(f316(f222(x50881),x50883),x50882))
% 163.96/163.65 [5090]~P108(x50901)+E(f316(f316(f223(x50901),x50902),x50903),f316(f316(f223(x50901),x50903),x50902))
% 163.96/163.65 [5153]E(f38(a898,x51531,x51532),f2(a898))+~E(x51531,f316(f316(f75(a898),x51532),x51533))
% 163.96/163.65 [5154]E(f38(a1,x51541,x51542),f2(a1))+~E(x51541,f316(f316(f75(a1),x51542),x51543))
% 163.96/163.65 [5218]E(x52181,x52182)+~E(f316(f316(f74(a898),x52183),x52181),f316(f316(f74(a898),x52183),x52182))
% 163.96/163.65 [5219]E(x52191,x52192)+~E(f316(f316(f74(a898),x52191),x52193),f316(f316(f74(a898),x52192),x52193))
% 163.96/163.65 [5229]~P94(x52291)+E(f316(f316(f91(x52291),x52292),f316(f73(x52291),x52293)),f316(f316(f23(x52291),x52292),x52293))
% 163.96/163.65 [5230]~P60(x52301)+E(f316(f316(f74(x52301),x52302),f316(f73(x52301),x52303)),f316(f316(f23(x52301),x52302),x52303))
% 163.96/163.65 [5231]~P71(x52311)+E(f316(f316(f74(x52311),x52312),f316(f73(x52311),x52313)),f316(f316(f23(x52311),x52312),x52313))
% 163.96/163.65 [5232]~P115(x52321)+E(f316(f316(f74(x52321),x52322),f316(f73(x52321),x52323)),f316(f316(f23(x52321),x52322),x52323))
% 163.96/163.65 [5233]~P71(x52331)+E(f316(f316(f23(x52331),x52332),f316(f73(x52331),x52333)),f316(f316(f74(x52331),x52332),x52333))
% 163.96/163.65 [5271]~P107(f316(x52713,x52712))+P107(f316(f316(f318(x52711),x52712),x52713))
% 163.96/163.65 [5273]~P72(x52732)+E(f316(f316(f9(x52731,x52732),x52733),f178(f905(x52731,a895))),f72(x52732))
% 163.96/163.65 [5275]~P76(x52752)+E(f316(f316(f6(x52751,x52752),x52753),f178(f905(x52751,a895))),f2(x52752))
% 163.96/163.65 [5327]~E(x53272,f316(f316(f74(a898),x53271),x53273))+P107(f316(f316(f224(a898),x53271),x53272))
% 163.96/163.65 [5330]~E(x53302,f178(f905(x53301,a895)))+E(f316(f316(f53(x53301),x53302),x53303),f178(f905(f905(x53301,a895),a895)))
% 163.96/163.65 [5331]~E(x53312,f178(f905(x53311,a895)))+E(f178(f905(f905(x53311,a895),a895)),f316(f316(f53(x53311),x53312),x53313))
% 163.96/163.65 [5399]~E(f316(f273(x53992,x53993),x53991),f178(f905(x53993,a895)))+E(x53991,f178(f905(f904(x53992,x53993),a895)))
% 163.96/163.65 [5400]~E(f316(f253(x54002,x54003),x54001),f178(f905(x54002,a895)))+E(x54001,f178(f905(f904(x54002,x54003),a895)))
% 163.96/163.65 [5432]E(f316(f273(x54321,x54322),x54323),f178(f905(x54322,a895)))+~E(x54323,f178(f905(f904(x54321,x54322),a895)))
% 163.96/163.65 [5433]E(f316(f253(x54331,x54332),x54333),f178(f905(x54331,a895)))+~E(x54333,f178(f905(f904(x54331,x54332),a895)))
% 163.96/163.65 [5436]E(f263(x54361,x54362,x54363),f316(f316(f23(a89),x54362),x54363))+P107(f316(f316(f225(a89),x54362),x54363))
% 163.96/163.65 [5452]P107(f316(x54521,x54522))+~P107(f316(f316(f318(x54523),x54522),x54521))
% 163.96/163.65 [5491]E(x54911,x54912)+~E(f316(f73(f905(x54913,a895)),x54911),f316(f73(f905(x54913,a895)),x54912))
% 163.96/163.65 [5502]~E(x55021,f178(f905(x55022,a895)))+~P107(f316(f316(f318(x55022),x55023),x55021))
% 163.96/163.65 [5533]~E(x55332,f316(f316(f74(a1),x55331),f316(f90(a1),x55333)))+P107(f316(f316(f224(a1),x55331),x55332))
% 163.96/163.65 [5547]E(f316(f316(f298(x55471),x55472),x55473),x55473)+~P107(f316(f316(f318(x55471),x55472),x55473))
% 163.96/163.65 [5558]E(x55581,f178(f905(x55582,a895)))+~E(f316(f316(f53(x55582),x55581),x55583),f178(f905(f905(x55582,a895),a895)))
% 163.96/163.65 [5559]E(x55591,f178(f905(x55592,a895)))+~E(f178(f905(f905(x55592,a895),a895)),f316(f316(f53(x55592),x55591),x55593))
% 163.96/163.65 [5565]~P122(x55651)+E(f316(f316(f75(x55651),f316(f73(x55651),x55652)),f316(f73(x55651),x55653)),f316(f316(f75(x55651),x55652),x55653))
% 163.96/163.65 [5567]~P65(x55671)+E(f316(f316(f280(x55671),f316(f73(x55671),x55672)),f316(f73(x55671),x55673)),f316(f316(f280(x55671),x55672),x55673))
% 163.96/163.65 [5599]~P107(f316(x55993,x55992))+P107(f316(f316(f318(x55991),x55992),f316(f251(x55991),x55993)))
% 163.96/163.65 [5626]E(x56261,f2(a898))+E(f316(f162(x56262),f159(x56262,x56261,x56263)),f316(f316(f298(x56262),x56263),f178(f905(x56262,a895))))
% 163.96/163.65 [5645]E(f160(x56451,x56452,x56453),x56453)+P107(f316(f316(f318(x56451),x56452),f316(f162(x56451),x56453)))
% 163.96/163.65 [5730]~P107(f316(f127(x57301),x57303))+P107(f316(f127(x57301),f316(f126(x57301,x57302),x57303)))
% 163.96/163.65 [5773]~P62(x57731)+E(f316(f316(f29(x57731),f38(x57731,x57732,x57733)),x57733),f2(x57731))
% 163.96/163.65 [5792]E(f166(x57921,f316(f316(f141(x57921),x57922),f103(x57921)),x57923),f103(x57921))+P107(f316(f316(f318(a898),f2(a898)),x57923))
% 163.96/163.65 [5798]E(x57981,f2(a898))+E(f316(f161(x57982),f159(x57982,x57981,x57983)),f159(x57982,f316(f316(f23(a898),x57981),f72(a898)),x57983))
% 163.96/163.65 [5849]E(f316(f316(f141(x58491),x58492),x58493),f130(x58491,x58492,x58493))+P107(f316(f316(f318(x58491),x58492),f316(f162(x58491),x58493)))
% 163.96/163.65 [5858]E(x58581,x58582)+~E(f316(f316(f75(a898),f316(a102,x58583)),x58581),f316(f316(f75(a898),f316(a102,x58583)),x58582))
% 163.96/163.65 [5859]~E(x58592,f316(f316(f74(a1),x58591),f316(f90(a1),f316(a102,x58593))))+P107(f316(f316(f225(a1),x58591),x58592))
% 163.96/163.65 [5930]~P29(x59301,x59302,x59303)+P30(a898,x59301,f129(a898,f316(f291(a898,x59302),x59303)))
% 163.96/163.65 [5983]~E(x59833,f103(x59831))+E(f316(f316(f316(f173(f899(x59831),f899(x59831)),x59832),f157(x59831)),x59833),f103(x59831))
% 163.96/163.65 [5987]P107(f316(x59871,x59872))+~P107(f316(f316(f318(x59873),x59872),f316(f251(x59873),x59871)))
% 163.96/163.65 [6018]E(x60181,x60182)+~E(f316(f316(f298(x60183),x60181),f178(f905(x60183,a895))),f316(f316(f298(x60183),x60182),f178(f905(x60183,a895))))
% 163.96/163.65 [6034]~P111(x60341)+E(f316(f316(f91(f905(x60341,a895)),f316(f271(x60341),x60342)),f316(f291(x60341,x60342),x60343)),f178(f905(x60341,a895)))
% 163.96/163.65 [6073]E(f130(x60731,x60732,x60733),x60733)+~P107(f316(f316(f318(x60731),x60732),f316(f162(x60731),x60733)))
% 163.96/163.65 [6095]~P79(x60951)+E(f316(f299(x60951,x60951,f73(x60951)),f316(f291(x60951,x60952),x60953)),f294(x60951,f316(f73(x60951),x60953),f316(f73(x60951),x60952)))
% 163.96/163.65 [6106]E(f316(f179(f899(x61061)),f160(x61061,x61062,x61063)),f316(f179(f899(x61061)),x61063))+P107(f316(f316(f318(x61061),x61062),f316(f162(x61061),x61063)))
% 163.96/163.65 [6161]~P111(x61611)+E(f316(f316(f91(f905(x61611,a895)),f316(f291(x61611,x61612),x61613)),f316(f272(x61611),x61613)),f178(f905(x61611,a895)))
% 163.96/163.65 [6181]~P79(x61811)+E(f316(f299(x61811,x61811,f73(x61811)),f295(x61811,x61812,x61813)),f295(x61811,f316(f73(x61811),x61813),f316(f73(x61811),x61812)))
% 163.96/163.65 [6182]~P79(x61821)+E(f316(f299(x61821,x61821,f73(x61821)),f292(x61821,x61822,x61823)),f292(x61821,f316(f73(x61821),x61823),f316(f73(x61821),x61822)))
% 163.96/163.65 [6249]E(f166(x62491,f316(f316(f141(x62491),x62492),f103(x62491)),x62493),f316(f316(f141(x62491),x62492),f103(x62491)))+~P107(f316(f316(f318(a898),f2(a898)),x62493))
% 163.96/163.65 [6254]P29(x62541,x62542,x62543)+~P30(a898,x62541,f129(a898,f316(f291(a898,x62542),x62543)))
% 163.96/163.65 [6257]~P79(x62571)+E(f316(f299(x62571,x62571,f73(x62571)),f294(x62571,x62572,x62573)),f316(f291(x62571,f316(f73(x62571),x62573)),f316(f73(x62571),x62572)))
% 163.96/163.65 [6279]~P63(x62791)+E(f38(x62791,f316(f73(x62791),f38(x62791,x62792,x62793)),x62793),f38(x62791,f316(f73(x62791),x62792),x62793))
% 163.96/163.65 [6375]~P107(f316(f54(f904(x63752,x63751)),x63753))+P107(f316(f54(x63751),f316(f273(x63752,x63751),x63753)))
% 163.96/163.65 [6376]~P107(f316(f54(f904(x63761,x63762)),x63763))+P107(f316(f54(x63761),f316(f253(x63761,x63762),x63763)))
% 163.96/163.65 [6381]~P111(x63811)+E(f316(f316(f91(f905(x63811,a895)),f295(x63811,x63812,x63813)),f316(f272(x63811),x63813)),f178(f905(x63811,a895)))
% 163.96/163.65 [6382]~P111(x63821)+E(f316(f316(f91(f905(x63821,a895)),f294(x63821,x63822,x63823)),f316(f293(x63821),x63823)),f178(f905(x63821,a895)))
% 163.96/163.65 [6383]~P111(x63831)+E(f316(f316(f91(f905(x63831,a895)),f292(x63831,x63832,x63833)),f316(f293(x63831),x63833)),f178(f905(x63831,a895)))
% 163.96/163.65 [6455]E(f316(f316(f154(x64551),x64552),f642(x64552,x64553,x64551)),x64553)+~P107(f316(f316(f318(x64551),x64553),f316(f162(x64551),x64552)))
% 163.96/163.65 [6602]E(x66021,f103(x66022))+~E(f316(f316(f316(f173(f899(x66022),f899(x66022)),x66023),f157(x66022)),x66021),f103(x66022))
% 163.96/163.65 [6708]~P107(f316(f54(f904(x67082,x67081)),x67083))+P107(f316(f54(f904(x67081,x67082)),f316(f275(x67082,x67081),x67083)))
% 163.96/163.65 [6731]E(x67311,x67312)+~E(f279(a898,f276(a898),x67313,x67311),f316(f316(f298(a898),x67312),f178(f905(a898,a895))))
% 163.96/163.65 [6732]E(x67321,x67322)+~E(f279(a898,f276(a898),x67321,x67322),f316(f316(f298(a898),x67323),f178(f905(a898,a895))))
% 163.96/163.65 [6867]P54(x68671,x68672,x68673)+P107(f316(f316(f318(x68671),f587(x68673,x68672,x68671)),x68672))
% 163.96/163.65 [6868]P54(x68681,x68682,x68683)+P107(f316(f316(f318(x68681),f586(x68683,x68682,x68681)),x68682))
% 163.96/163.65 [6878]P107(f316(f304(x68781,x68782),x68783))+P107(f316(f316(x68782,f433(x68783,x68782,x68781)),x68783))
% 163.96/163.65 [6879]P107(f316(f304(x68791,x68792),x68793))+P107(f316(f316(x68792,f440(x68793,x68792,x68791)),x68793))
% 163.96/163.65 [6910]E(f316(f179(f899(x69101)),f160(x69101,x69102,x69103)),f316(f316(f23(a898),f316(f179(f899(x69101)),x69103)),f72(a898)))+~P107(f316(f316(f318(x69101),x69102),f316(f162(x69101),x69103)))
% 163.96/163.65 [6949]P107(f316(f237(x69491,x69492),x69493))+P107(f316(f316(f318(x69491),f573(x69493,x69492,x69491)),x69493))
% 163.96/163.65 [6958]~P107(f316(f54(f904(x69582,x69581)),f316(f275(x69581,x69582),x69583)))+P107(f316(f54(f904(x69581,x69582)),x69583))
% 163.96/163.65 [7015]~P107(f316(f316(f318(x70151),x70152),f316(f162(x70151),f104(x70151,x70153))))+P107(f316(f316(f318(x70151),x70152),f316(f162(x70151),x70153)))
% 163.96/163.65 [7049]E(f316(f126(x70491,x70492),x70493),x70493)+P107(f316(f316(f318(x70491),f665(x70493,x70492,x70491)),f316(f162(x70491),x70493)))
% 163.96/163.65 [7065]E(f316(f126(x70651,x70652),x70653),f103(x70651))+P107(f316(f316(f318(x70651),f664(x70653,x70652,x70651)),f316(f162(x70651),x70653)))
% 163.96/163.65 [7091]P30(x70911,x70912,x70913)+P107(f316(f316(f318(x70911),f750(x70913,x70912,x70911)),f316(f162(x70911),x70913)))
% 163.96/163.65 [7092]P30(x70921,x70922,x70923)+P107(f316(f316(f318(x70921),f760(x70923,x70922,x70921)),f316(f162(x70921),x70923)))
% 163.96/163.65 [7093]P30(x70931,x70932,x70933)+P107(f316(f316(f318(x70931),f759(x70932,x70933,x70931)),f316(f162(x70931),x70933)))
% 163.96/163.65 [7096]E(f167(x70961,x70962,x70963),x70963)+P107(f316(f316(f318(x70961),f709(x70963,x70962,x70961)),f316(f162(x70961),x70963)))
% 163.96/163.65 [7173]P107(f316(f150(x71731,x71732),x71733))+P107(f316(f316(f318(x71731),f666(x71733,x71732,x71731)),f316(f162(x71731),x71733)))
% 163.96/163.65 [7182]~P32(x71821,x71823,x71822)+P107(f316(f316(f318(x71821),f742(x71822,x71823,x71821)),f316(f162(x71821),x71822)))
% 163.96/163.65 [7183]~P34(x71831,x71833,x71832)+P107(f316(f316(f318(x71831),f749(x71832,x71833,x71831)),f316(f162(x71831),x71832)))
% 163.96/163.65 [7184]~P34(x71841,x71843,x71842)+P107(f316(f316(f318(x71841),f761(x71842,x71843,x71841)),f316(f162(x71841),x71842)))
% 163.96/163.65 [7185]~P32(x71851,x71852,x71853)+P107(f316(f316(f318(x71851),f786(x71852,x71853,x71851)),f316(f162(x71851),x71853)))
% 163.96/163.65 [7186]~P32(x71861,x71863,x71862)+P107(f316(f316(f318(x71861),f789(x71862,x71863,x71861)),f316(f162(x71861),x71862)))
% 163.96/163.65 [7220]P107(f316(f316(f318(x72201),x72202),f487(x72203,x72202,x72201)))+~P107(f316(f316(f318(x72201),x72202),f30(f905(x72201,a895),x72203)))
% 163.96/163.65 [7221]~P76(x72211)+E(f316(f316(f74(x72211),f316(f316(f6(a898,x72211),x72212),f316(f271(a898),x72213))),f316(x72212,x72213)),f316(f316(f6(a898,x72211),x72212),f316(f271(a898),f316(a102,x72213))))
% 163.96/163.65 [7233]P29(x72331,x72332,x72333)+P107(f316(f316(f318(a898),f832(x72333,x72332,x72331)),f316(f291(a898,x72332),x72333)))
% 163.96/163.65 [7313]~P32(x73132,x73131,x73133)+P107(f316(x73131,f316(f316(f154(x73132),x73133),f745(x73133,x73131,x73132))))
% 163.96/163.65 [7326]~P107(f316(f316(f318(x73261),x73262),f337(x73262,x73263,x73261)))+P107(f316(f316(f318(x73261),x73262),f31(f905(x73261,a895),x73263)))
% 163.96/163.65 [7359]~P76(x73591)+E(f316(f316(f74(x73591),f316(f316(f6(a898,x73591),x73592),f316(f290(a898),x73593))),f316(x73592,f316(a102,x73593))),f316(f316(f6(a898,x73591),x73592),f316(f290(a898),f316(a102,x73593))))
% 163.96/163.65 [7499]P107(f316(f316(f318(f899(x74991)),x74992),f151(x74991,x74993)))+P107(f316(f316(f318(x74991),f650(x74993,x74992,x74991)),f316(f162(x74991),x74992)))
% 163.96/163.65 [7515]~P107(f316(f316(f318(f899(x75151)),x75152),f151(x75151,f305(x75151,x75153))))+P107(f316(f316(f318(f899(x75151)),x75152),f305(f899(x75151),f147(x75151,x75153))))
% 163.96/163.65 [7539]~P107(f316(f316(f318(f899(x75391)),x75392),f305(f899(x75391),f147(x75391,x75393))))+P107(f316(f316(f318(f899(x75391)),x75392),f151(x75391,f305(x75391,x75393))))
% 163.96/163.65 [7572]E(f316(f316(f316(f173(f899(x75721),f899(x75721)),x75722),f157(x75721)),x75723),x75723)+~P107(f316(f316(f224(a898),f316(f179(f899(x75721)),x75723)),f72(a898)))
% 163.96/163.65 [7605]E(f316(f316(f124(x76051),f747(x76052,x76053,x76051)),f316(f316(f141(x76051),x76053),f748(x76052,x76053,x76051))),x76052)+~P107(f316(f316(f318(x76051),x76053),f316(f162(x76051),x76052)))
% 163.96/163.65 [7606]E(f316(f316(f124(x76061),f753(x76062,x76063,x76061)),f316(f316(f141(x76061),x76063),f754(x76062,x76063,x76061))),x76062)+~P107(f316(f316(f318(x76061),x76063),f316(f162(x76061),x76062)))
% 163.96/163.65 [7607]E(f316(f316(f124(x76071),f755(x76072,x76073,x76071)),f316(f316(f141(x76071),x76073),f756(x76072,x76073,x76071))),x76072)+~P107(f316(f316(f318(x76071),x76073),f316(f162(x76071),x76072)))
% 163.96/163.65 [7628]~P22(x76281,x76282,x76283,f231(f905(x76281,a895)))+P22(f899(x76281),f899(x76282),f316(f144(x76281,x76282),x76283),f231(f905(f899(x76281),a895)))
% 163.96/163.65 [7779]E(x77791,f316(f316(f74(a898),f316(f316(f75(a898),f316(f240(a898,a898),x77792)),x77793)),f316(f245(a898,a898),x77792)))+~P107(f316(f41(x77791,x77793),x77792))
% 163.96/163.65 [7787]P22(x77871,x77872,x77873,f231(f905(x77871,a895)))+~P22(f899(x77871),f899(x77872),f316(f144(x77871,x77872),x77873),f231(f905(f899(x77871),a895)))
% 163.96/163.65 [7832]P107(f316(f316(f318(f905(x78321,a895)),f337(x78322,x78323,x78321)),x78323))+P107(f316(f316(f318(x78321),x78322),f31(f905(x78321,a895),x78323)))
% 163.96/163.65 [7923]P107(f316(f316(f318(f899(x79231)),x79232),f151(x79231,x79233)))+~P107(f316(f316(f318(x79231),f650(x79233,x79232,x79231)),x79233))
% 163.96/163.65 [8026]P30(x80261,x80262,x80263)+~P107(f316(x80262,f316(f316(f154(x80261),x80263),f752(x80263,x80262,x80261))))
% 163.96/163.65 [8050]E(x80501,x80502)+~E(f316(f316(f7(x80503,f905(x80503,a895),a895),f318(x80503)),x80501),f316(f316(f7(x80503,f905(x80503,a895),a895),f318(x80503)),x80502))
% 163.96/163.65 [8058]~P107(f316(f316(f318(f904(x80581,x80581)),x80583),f252(x80581,x80582)))+P107(f316(f316(f318(x80581),f668(x80582,x80583,x80581)),x80582))
% 163.96/163.65 [8060]~P107(f316(f316(f318(x80601),x80603),f30(f905(x80601,a895),x80602)))+P107(f316(f316(f318(f905(x80601,a895)),f487(x80602,x80603,x80601)),x80602))
% 163.96/163.65 [8180]P22(x81801,x81802,f85(x81802,x81801,f231(f905(x81802,a895)),x81803),f231(f905(x81801,a895)))+~E(f316(f299(x81802,x81801,x81803),f231(f905(x81802,a895))),f231(f905(x81801,a895)))
% 163.96/163.65 [8234]~P107(f316(f316(f318(x82341),x82342),f316(f162(x82341),f753(x82343,x82342,x82341))))+~P107(f316(f316(f318(x82341),x82342),f316(f162(x82341),x82343)))
% 163.96/163.65 [8235]~P107(f316(f316(f318(x82351),x82352),f316(f162(x82351),f756(x82353,x82352,x82351))))+~P107(f316(f316(f318(x82351),x82352),f316(f162(x82351),x82353)))
% 163.96/163.65 [8263]P29(f316(f66(a895,a895,a898,a311),x82631),x82632,x82633)+P32(a898,x82631,f129(a898,f316(f291(a898,x82632),x82633)))
% 163.96/163.65 [8424]E(x84241,f103(x84242))+P107(f316(f316(f318(x84242),f316(f240(x84242,f904(a89,a89)),f316(f264(x84242,x84241),x84243))),f316(f162(x84242),x84241)))
% 163.96/163.65 [8522]~P70(x85221)+E(f316(f132(x85221,x85221,f316(f7(x85221,x85221,x85221),f74(x85221)),x85222),f316(f158(x85221),x85223)),f316(f132(x85221,x85221,f74(x85221),x85222),x85223))
% 163.96/163.65 [8715]~P22(x87152,x87151,x87153,f231(f905(x87152,a895)))+E(f316(f299(x87151,x87152,f85(x87152,x87151,f231(f905(x87152,a895)),x87153)),f231(f905(x87151,a895))),f231(f905(x87152,a895)))
% 163.96/163.65 [8788]~P29(f316(f66(a895,a895,a898,a311),x87881),x87882,x87883)+~P32(a898,x87881,f129(a898,f316(f291(a898,x87882),x87883)))
% 163.96/163.65 [9035]~P108(x90351)+E(f316(f162(x90351),f139(x90351,x90351,f5(x90351),x90352,x90353)),f316(f316(f298(x90351),x90352),f316(f162(x90351),x90353)))
% 163.96/163.65 [9046]~E(f316(x90463,f316(f85(x90461,x90462,f231(f905(x90461,a895)),x90463),f802(x90463,x90462,x90461))),f802(x90463,x90462,x90461))+E(f316(f299(x90461,x90462,x90463),f231(f905(x90461,a895))),f231(f905(x90462,a895)))
% 163.96/163.65 [9048]P107(f316(f316(f225(a898),f2(a898)),f609(x90481,x90482,x90483)))+~P107(f316(f316(f318(f904(x90483,x90483)),x90482),f316(f316(f278(x90483,x90483,x90483),x90481),f296(x90483,x90481))))
% 163.96/163.65 [9326]~P56(x93261,x93262)+~P107(f316(f316(f318(f904(x93261,x93261)),f316(f316(f241(x93261,x93261),x93263),x93263)),f316(f316(f278(x93261,x93261,x93261),x93262),f296(x93261,x93262))))
% 163.96/163.65 [9462]~E(f316(f316(f91(f905(f904(x94621,x94621),a895)),f316(f275(x94621,x94621),x94622)),f296(x94621,x94622)),f178(f905(f904(x94621,x94621),a895)))+~P107(f316(f316(f318(f904(x94621,x94621)),f316(f316(f241(x94621,x94621),x94623),x94623)),f316(f316(f278(x94621,x94621,x94621),x94622),f296(x94621,x94622))))
% 163.96/163.65 [9651]~P107(f316(f54(x96511),x96512))+P107(f316(f316(f224(a898),f316(f28(x96511),f316(f316(f23(f905(x96511,a895)),x96512),f316(f316(f298(x96511),x96513),f178(f905(x96511,a895)))))),f316(f28(x96511),x96512)))
% 163.96/163.65 [5141]~E(x51413,f103(x51411))+E(f134(x51411,f316(f316(f141(x51411),x51412),x51413)),x51412)
% 163.96/163.65 [5150]~E(x51503,f103(x51501))+E(f104(x51501,f316(f316(f141(x51501),x51502),x51503)),f103(x51501))
% 163.96/163.65 [5180]E(x51801,f103(x51802))+E(f134(x51802,f316(f316(f141(x51802),x51803),x51801)),f134(x51802,x51801))
% 163.96/163.65 [5182]E(x51821,f103(x51822))+E(f134(x51822,f316(f316(f124(x51822),x51823),x51821)),f134(x51822,x51821))
% 163.96/163.65 [5188]~E(x51883,f103(x51881))+E(f104(x51881,f316(f316(f124(x51881),x51882),x51883)),f104(x51881,x51882))
% 163.96/163.65 [5190]~E(x51903,f103(x51901))+E(f134(x51901,f316(f316(f124(x51901),x51902),x51903)),f134(x51901,x51902))
% 163.96/163.65 [5223]E(x52231,f103(x52232))+E(f316(f131(x52232),f316(f316(f124(x52232),x52231),x52233)),f316(f131(x52232),x52231))
% 163.96/163.65 [5251]~E(x52512,f103(x52511))+E(f316(f131(x52511),f316(f316(f124(x52511),x52512),x52513)),f316(f131(x52511),x52513))
% 163.96/163.65 [5303]~P84(x53031)+E(f316(f316(f100(x53031),x53032),f316(f316(f91(x53031),x53032),x53033)),x53032)
% 163.96/163.65 [5304]~P84(x53041)+E(f316(f316(f91(x53041),x53042),f316(f316(f100(x53041),x53042),x53043)),x53042)
% 163.96/163.65 [5305]~P108(x53051)+E(f316(f316(f222(x53051),x53052),f316(f316(f223(x53051),x53052),x53053)),x53052)
% 163.96/163.65 [5306]~P108(x53061)+E(f316(f316(f223(x53061),x53062),f316(f316(f222(x53061),x53062),x53063)),x53062)
% 163.96/163.65 [5325]~P62(x53251)+E(f38(x53251,f316(f316(f75(x53251),x53252),x53253),x53253),f2(x53251))
% 163.96/163.65 [5326]~P62(x53261)+E(f38(x53261,f316(f316(f75(x53261),x53262),x53263),x53262),f2(x53261))
% 163.96/163.65 [5394]~P60(x53941)+E(f316(f73(x53941),f316(f316(f23(x53941),x53942),x53943)),f316(f316(f23(x53941),x53943),x53942))
% 163.96/163.65 [5456]E(x54561,f103(x54562))+E(f104(x54562,f316(f316(f141(x54562),x54563),x54561)),f316(f316(f141(x54562),x54563),f104(x54562,x54561)))
% 163.96/163.65 [5457]E(x54571,f103(x54572))+E(f104(x54572,f316(f316(f124(x54572),x54573),x54571)),f316(f316(f124(x54572),x54573),f104(x54572,x54571)))
% 163.96/163.65 [5460]~P2(x54601)+E(f30(x54601,f316(f316(f298(x54601),x54602),x54603)),f316(f316(f100(x54601),x54602),f30(x54601,x54603)))
% 163.96/163.65 [5461]~P2(x54611)+E(f31(x54611,f316(f316(f298(x54611),x54612),x54613)),f316(f316(f91(x54611),x54612),f31(x54611,x54613)))
% 163.96/163.65 [5508]~P83(x55081)+E(f316(f316(f100(x55081),x55082),f316(f316(f100(x55081),x55082),x55083)),f316(f316(f100(x55081),x55082),x55083))
% 163.96/163.65 [5509]~P84(x55091)+E(f316(f316(f100(x55091),x55092),f316(f316(f100(x55091),x55092),x55093)),f316(f316(f100(x55091),x55092),x55093))
% 163.96/163.65 [5510]~P84(x55101)+E(f316(f316(f91(x55101),x55102),f316(f316(f91(x55101),x55102),x55103)),f316(f316(f91(x55101),x55102),x55103))
% 163.96/163.65 [5512]~P103(x55121)+E(f316(f316(f91(x55121),x55122),f316(f316(f91(x55121),x55122),x55123)),f316(f316(f91(x55121),x55122),x55123))
% 163.96/163.65 [5513]~P99(x55131)+E(f316(f316(f75(x55131),x55132),f316(f316(f75(x55131),x55132),x55133)),f316(f316(f75(x55131),x55132),x55133))
% 163.96/163.65 [5515]~P108(x55151)+E(f316(f316(f222(x55151),x55152),f316(f316(f222(x55151),x55152),x55153)),f316(f316(f222(x55151),x55152),x55153))
% 163.96/163.65 [5517]~P108(x55171)+E(f316(f316(f223(x55171),x55172),f316(f316(f223(x55171),x55172),x55173)),f316(f316(f223(x55171),x55172),x55173))
% 163.96/163.65 [5524]~P62(x55241)+E(f38(x55241,f316(f316(f74(x55241),x55242),x55243),x55243),f38(x55241,x55242,x55243))
% 163.96/163.65 [5525]~P62(x55251)+E(f38(x55251,f316(f316(f74(x55251),x55252),x55253),x55252),f38(x55251,x55253,x55252))
% 163.96/163.65 [5534]~P122(x55341)+E(f316(f316(f75(x55341),x55342),f316(f73(x55341),x55343)),f316(f73(x55341),f316(f316(f75(x55341),x55342),x55343)))
% 163.96/163.65 [5535]~P65(x55351)+E(f316(f316(f280(x55351),x55352),f316(f73(x55351),x55353)),f316(f73(x55351),f316(f316(f280(x55351),x55352),x55353)))
% 163.96/163.65 [5536]~P82(x55361)+E(f316(f316(f74(x55361),x55362),f316(f155(x55361),x55363)),f316(f155(x55361),f316(f316(f141(x55361),x55362),x55363)))
% 163.96/163.65 [5564]~P122(x55641)+E(f316(f316(f75(x55641),f316(f73(x55641),x55642)),x55643),f316(f316(f75(x55641),x55642),f316(f73(x55641),x55643)))
% 163.96/163.65 [5570]~P5(x55701,x55702,x55703)+E(f30(f905(x55701,a895),f316(f316(f53(x55701),x55702),x55703)),x55702)
% 163.96/163.65 [5637]~P116(x56371)+E(f316(f316(f75(x56371),x56372),f316(f316(f233(x56371),x56372),x56373)),f316(f316(f233(x56371),x56372),f316(a102,x56373)))
% 163.96/163.65 [5638]~P117(x56381)+E(f316(f316(f75(x56381),x56382),f316(f316(f233(x56381),x56382),x56383)),f316(f316(f233(x56381),x56382),f316(a102,x56383)))
% 163.96/163.65 [5648]~P71(x56481)+E(f316(f316(f74(x56481),f316(f73(x56481),x56482)),f316(f316(f74(x56481),x56482),x56483)),x56483)
% 163.96/163.65 [5671]~P146(x56711)+E(f316(f316(f233(x56711),f316(f90(x56711),x56712)),x56713),f316(f90(x56711),f316(f316(f233(a898),x56712),x56713)))
% 163.96/163.65 [5672]~P141(x56721)+E(f316(f316(f233(x56721),f316(f92(x56721),x56722)),x56723),f316(f92(x56721),f316(f316(f233(a1),x56722),x56723)))
% 163.96/163.65 [5678]~P89(x56781)+E(f316(f69(x56781),f316(f316(f23(x56781),x56782),x56783)),f316(f69(x56781),f316(f316(f23(x56781),x56783),x56782)))
% 163.96/163.65 [5680]~P123(x56801)+E(f316(f316(f75(x56801),f76(x56801,x56802)),f76(x56801,x56803)),f76(x56801,f316(f316(f75(x56801),x56802),x56803)))
% 163.96/163.65 [5684]E(x56841,f103(x56842))+E(f316(f316(f124(x56842),f316(f161(x56842),x56841)),x56843),f316(f161(x56842),f316(f316(f124(x56842),x56841),x56843)))
% 163.96/163.65 [5690]~E(x56902,f316(a102,f316(f316(f74(a898),x56901),x56903)))+P107(f316(f316(f225(a898),x56901),x56902))
% 163.96/163.65 [5691]~P122(x56911)+E(f316(f316(f75(x56911),f316(f73(x56911),x56912)),x56913),f316(f73(x56911),f316(f316(f75(x56911),x56912),x56913)))
% 163.96/163.65 [5692]~P120(x56921)+E(f316(f316(f280(x56921),f316(f73(x56921),x56922)),x56923),f316(f73(x56921),f316(f316(f280(x56921),x56922),x56923)))
% 163.96/163.65 [5693]~P123(x56931)+E(f316(f316(f233(x56931),f316(f69(x56931),x56932)),x56933),f316(f69(x56931),f316(f316(f233(x56931),x56932),x56933)))
% 163.96/163.65 [5791]E(f853(x57911,x57912,x57913),f856(x57911,x57912,x57913))+E(f316(f316(f91(f905(x57913,a895)),x57912),x57911),f178(f905(x57913,a895)))
% 163.96/163.65 [5806]~P72(x58062)+E(f316(f316(f9(x58061,x58062),f316(f16(x58062,x58061),f72(x58062))),x58063),f72(x58062))
% 163.96/163.65 [5807]~P76(x58072)+E(f316(f316(f6(x58071,x58072),f316(f16(x58072,x58071),f2(x58072))),x58073),f2(x58072))
% 163.96/163.65 [5809]~P146(x58091)+E(f316(f316(f75(x58091),f316(f90(x58091),x58092)),f316(f90(x58091),x58093)),f316(f90(x58091),f316(f316(f75(a898),x58092),x58093)))
% 163.96/163.65 [5810]~P146(x58101)+E(f316(f316(f74(x58101),f316(f90(x58101),x58102)),f316(f90(x58101),x58103)),f316(f90(x58101),f316(f316(f74(a898),x58102),x58103)))
% 163.96/163.65 [5811]~P141(x58111)+E(f316(f316(f23(x58111),f316(f92(x58111),x58112)),f316(f92(x58111),x58113)),f316(f92(x58111),f316(f316(f23(a1),x58112),x58113)))
% 163.96/163.65 [5812]~P141(x58121)+E(f316(f316(f75(x58121),f316(f92(x58121),x58122)),f316(f92(x58121),x58123)),f316(f92(x58121),f316(f316(f75(a1),x58122),x58123)))
% 163.96/163.65 [5813]~P141(x58131)+E(f316(f316(f74(x58131),f316(f92(x58131),x58132)),f316(f92(x58131),x58133)),f316(f92(x58131),f316(f316(f74(a1),x58132),x58133)))
% 163.96/163.65 [5814]~P98(x58141)+E(f316(f316(f23(x58141),f316(f93(x58141),x58142)),f316(f93(x58141),x58143)),f316(f93(x58141),f316(f316(f23(a1),x58142),x58143)))
% 163.96/163.65 [5817]~P98(x58171)+E(f316(f316(f75(x58171),f316(f93(x58171),x58172)),f316(f93(x58171),x58173)),f316(f93(x58171),f316(f316(f75(a1),x58172),x58173)))
% 163.96/163.65 [5818]~P98(x58181)+E(f316(f316(f74(x58181),f316(f93(x58181),x58182)),f316(f93(x58181),x58183)),f316(f93(x58181),f316(f316(f74(a1),x58182),x58183)))
% 163.96/163.65 [5866]~E(x58663,x58662)+P107(f316(f316(f224(f905(x58661,a895)),x58662),x58663))
% 163.96/163.65 [5872]~E(x58722,x58723)+P107(f316(f316(f224(f905(x58721,a895)),x58722),x58723))
% 163.96/163.65 [5877]~P94(x58771)+E(f316(f316(f91(x58771),f316(f73(x58771),x58772)),f316(f73(x58771),x58773)),f316(f73(x58771),f316(f316(f100(x58771),x58772),x58773)))
% 163.96/163.65 [5878]~P94(x58781)+E(f316(f316(f100(x58781),f316(f73(x58781),x58782)),f316(f73(x58781),x58783)),f316(f73(x58781),f316(f316(f91(x58781),x58782),x58783)))
% 163.96/163.65 [5879]~P71(x58791)+E(f316(f316(f74(x58791),f316(f73(x58791),x58792)),f316(f73(x58791),x58793)),f316(f73(x58791),f316(f316(f74(x58791),x58793),x58792)))
% 163.96/163.65 [5880]~P60(x58801)+E(f316(f316(f74(x58801),f316(f73(x58801),x58802)),f316(f73(x58801),x58803)),f316(f73(x58801),f316(f316(f74(x58801),x58802),x58803)))
% 163.96/163.65 [5881]~P78(x58811)+E(f316(f316(f223(x58811),f316(f73(x58811),x58812)),f316(f73(x58811),x58813)),f316(f73(x58811),f316(f316(f222(x58811),x58812),x58813)))
% 163.96/163.65 [5882]~P78(x58821)+E(f316(f316(f222(x58821),f316(f73(x58821),x58822)),f316(f73(x58821),x58823)),f316(f73(x58821),f316(f316(f223(x58821),x58822),x58823)))
% 163.96/163.65 [5883]~P123(x58831)+E(f316(f316(f75(x58831),f316(f69(x58831),x58832)),f316(f69(x58831),x58833)),f316(f69(x58831),f316(f316(f75(x58831),x58832),x58833)))
% 163.96/163.65 [5884]~P67(x58841)+E(f316(f316(f280(x58841),f316(f69(x58841),x58842)),f316(f69(x58841),x58843)),f316(f69(x58841),f316(f316(f280(x58841),x58842),x58843)))
% 163.96/163.65 [5885]~P82(x58851)+E(f316(f316(f74(x58851),f316(f155(x58851),x58852)),f316(f155(x58851),x58853)),f316(f155(x58851),f316(f316(f124(x58851),x58852),x58853)))
% 163.96/163.65 [5886]E(x58861,f178(f905(x58862,a895)))+~E(f316(f316(f100(f905(x58862,a895)),x58863),x58861),f178(f905(x58862,a895)))
% 163.96/163.65 [5887]E(x58871,f178(f905(x58872,a895)))+~E(f316(f316(f100(f905(x58872,a895)),x58871),x58873),f178(f905(x58872,a895)))
% 163.96/163.65 [5888]~P149(x58881,x58883,x58882)+P107(f316(x58881,f316(f316(f29(a1),x58882),x58883)))
% 163.96/163.65 [5954]~P107(f316(f54(x59541),x59543))+P107(f316(f54(x59541),f316(f316(f298(x59541),x59542),x59543)))
% 163.96/163.65 [5955]~P107(f316(f127(x59551),x59553))+P107(f316(f127(x59551),f316(f316(f165(x59551),x59552),x59553)))
% 163.96/163.65 [5956]~P107(f316(f127(x59561),x59563))+P107(f316(f127(x59561),f316(f316(f128(x59561),x59562),x59563)))
% 163.96/163.65 [5988]~P83(x59881)+P107(f316(f316(f224(x59881),x59882),f316(f316(f100(x59881),x59883),x59882)))
% 163.96/163.65 [5989]~P84(x59891)+P107(f316(f316(f224(x59891),x59892),f316(f316(f100(x59891),x59893),x59892)))
% 163.96/163.65 [5990]~P83(x59901)+P107(f316(f316(f224(x59901),x59902),f316(f316(f100(x59901),x59902),x59903)))
% 163.96/163.65 [5991]~P84(x59911)+P107(f316(f316(f224(x59911),x59912),f316(f316(f100(x59911),x59912),x59913)))
% 163.96/163.65 [5992]~P108(x59921)+P107(f316(f316(f224(x59921),x59922),f316(f316(f223(x59921),x59923),x59922)))
% 163.96/163.65 [5993]~P108(x59931)+P107(f316(f316(f224(x59931),x59932),f316(f316(f223(x59931),x59932),x59933)))
% 163.96/163.65 [5994]~P117(x59941)+P107(f316(f316(f276(x59941),x59942),f316(f316(f75(x59941),x59943),x59942)))
% 163.96/163.65 [6008]~E(x60081,f2(a898))+E(f316(f316(f29(a898),f316(f316(f75(a898),x60081),x60082)),f316(f316(f75(a898),x60081),x60083)),f2(a898))
% 163.96/163.65 [6089]~P98(x60891)+E(f316(f316(f23(x60891),f316(f93(x60891),x60892)),f316(f93(x60891),x60893)),f316(f93(x60891),f316(f316(f74(a1),x60892),f316(f73(a1),x60893))))
% 163.96/163.65 [6149]E(x61491,f2(a898))+E(f316(f316(f29(a898),f316(f316(f75(a898),x61491),x61492)),f316(f316(f75(a898),x61491),x61493)),f316(f316(f29(a898),x61492),x61493))
% 163.96/163.65 [6179]E(f142(x61791,f316(f316(f141(x61791),x61792),x61793)),f316(f316(f141(x61791),x61792),f142(x61791,x61793)))+P107(f316(f316(f318(x61791),x61792),f316(f162(x61791),x61793)))
% 163.96/163.65 [6216]P149(x62161,x62162,x62163)+~P107(f316(x62161,f316(f316(f29(a1),x62163),x62162)))
% 163.96/163.65 [6292]E(x62921,f103(x62922))+E(f316(f316(f141(x62922),f316(f131(x62922),x62921)),f316(f316(f165(x62922),x62923),f316(f161(x62922),x62921))),f316(f316(f165(x62922),f316(a102,x62923)),x62921))
% 163.96/163.65 [6299]E(f316(f316(f23(f905(x62991,a895)),x62992),x62993),x62992)+~E(f316(f316(f91(f905(x62991,a895)),x62992),x62993),f178(f905(x62991,a895)))
% 163.96/163.65 [6313]E(f142(x63131,f316(f316(f141(x63131),x63132),x63133)),f142(x63131,x63133))+~P107(f316(f316(f318(x63131),x63132),f316(f162(x63131),x63133)))
% 163.96/163.65 [6343]~P107(f316(f316(f224(a898),x63431),x63433))+P107(f316(f316(f224(a898),x63431),f316(f316(f74(a898),x63432),x63433)))
% 163.96/163.65 [6345]~P107(f316(f316(f224(a898),x63451),x63452))+P107(f316(f316(f224(a898),x63451),f316(f316(f74(a898),x63452),x63453)))
% 163.96/163.65 [6347]~P107(f316(f316(f225(a898),x63471),x63473))+P107(f316(f316(f225(a898),x63471),f316(f316(f74(a898),x63472),x63473)))
% 163.96/163.65 [6349]~P107(f316(f316(f225(a898),x63491),x63492))+P107(f316(f316(f225(a898),x63491),f316(f316(f74(a898),x63492),x63493)))
% 163.96/163.65 [6389]P107(f316(f54(x63891),x63892))+~P107(f316(f54(x63891),f316(f316(f298(x63891),x63893),x63892)))
% 163.96/163.65 [6390]P107(f316(f127(x63901),x63902))+~P107(f316(f127(x63901),f316(f316(f141(x63901),x63903),x63902)))
% 163.96/163.65 [6391]P107(f316(f127(x63911),x63912))+~P107(f316(f127(x63911),f316(f316(f124(x63911),x63913),x63912)))
% 163.96/163.65 [6392]P107(f316(f127(x63921),x63922))+~P107(f316(f127(x63921),f316(f316(f124(x63921),x63922),x63923)))
% 163.96/163.65 [6445]~P117(x64451)+E(f316(f316(f74(x64451),x64452),f316(f316(f75(x64451),x64453),x64452)),f316(f316(f75(x64451),f316(f316(f74(x64451),x64453),f72(x64451))),x64452))
% 163.96/163.65 [6492]~E(x64921,x64922)+~P107(f316(f316(f225(f905(x64923,a895)),x64921),x64922))
% 163.96/163.65 [6538]P107(f316(f316(f318(x65381),x65382),x65383))+P107(f316(f316(f318(x65381),x65382),f316(f73(f905(x65381,a895)),x65383)))
% 163.96/163.65 [6544]E(f134(x65441,f316(f316(f128(x65441),x65442),x65443)),f134(x65441,x65443))+~P107(f316(f316(f225(a898),x65442),f316(f179(f899(x65441)),x65443)))
% 163.96/163.65 [6545]E(f316(f316(f165(x65451),x65452),f104(x65451,x65453)),f316(f316(f165(x65451),x65452),x65453))+~P107(f316(f316(f225(a898),x65452),f316(f179(f899(x65451)),x65453)))
% 163.96/163.65 [6604]E(f316(f316(f316(f173(f899(x66041),f899(x66041)),x66042),f157(x66041)),x66043),x66043)+~E(f38(a898,x66042,f316(f179(f899(x66041)),x66043)),f2(a898))
% 163.96/163.65 [6611]~P5(x66111,x66113,x66112)+E(f316(f316(f278(x66111,x66111,x66111),f316(f275(x66111,x66111),x66112)),x66112),x66112)
% 163.96/163.65 [6654]~E(f316(f316(f100(f905(x66541,a895)),x66542),x66543),x66543)+P107(f316(f316(f224(f905(x66541,a895)),x66542),x66543))
% 163.96/163.65 [6659]~P51(x66591,x66591,x66593)+P51(x66591,x66591,f316(f316(f173(f904(x66591,x66591),a895),x66592),x66593))
% 163.96/163.65 [6662]~P107(f316(f316(f318(x66621),x66623),f316(f162(x66621),x66622)))+P107(f316(f316(f225(a898),f2(a898)),f316(f179(f899(x66621)),x66622)))
% 163.96/163.65 [6690]~P89(x66901)+E(f316(f69(x66901),f316(f316(f74(x66901),f316(f69(x66901),x66902)),f316(f69(x66901),x66903))),f316(f316(f74(x66901),f316(f69(x66901),x66902)),f316(f69(x66901),x66903)))
% 163.96/163.65 [6701]E(f316(f316(f29(a898),f316(f316(f75(a898),x67011),x67012)),f316(f316(f75(a898),x67011),x67013)),f316(f316(f29(a898),x67012),x67013))+~P107(f316(f316(f225(a898),f2(a898)),x67011))
% 163.96/163.65 [6844]~P107(f316(f54(x68441),x68443))+E(f316(f316(f57(x68441,f905(x68441,a895),f298(x68441)),x68442),x68443),f316(f316(f100(f905(x68441,a895)),x68443),x68442))
% 163.96/163.65 [6903]E(f316(f316(f100(f905(x69031,a895)),x69032),x69033),x69032)+~P107(f316(f316(f224(f905(x69031,a895)),x69033),x69032))
% 163.96/163.65 [6905]E(f316(f316(f100(f905(x69051,a895)),x69052),x69053),x69053)+~P107(f316(f316(f224(f905(x69051,a895)),x69052),x69053))
% 163.96/163.65 [6906]E(f316(f316(f91(f905(x69061,a895)),x69062),x69063),x69063)+~P107(f316(f316(f224(f905(x69061,a895)),x69063),x69062))
% 163.96/163.65 [6907]E(f316(f316(f91(f905(x69071,a895)),x69072),x69073),x69072)+~P107(f316(f316(f224(f905(x69071,a895)),x69072),x69073))
% 163.96/163.65 [6956]~P107(f316(f127(x69561),x69562))+E(f316(f316(f23(f905(x69561,a895)),f316(f162(x69561),x69562)),f316(f316(f298(x69561),x69563),f178(f905(x69561,a895)))),f316(f162(x69561),f160(x69561,x69563,x69562)))
% 163.96/163.65 [7010]P36(x70101,x70102)+~P36(x70101,f316(f316(f173(f904(x70101,x70101),a895),x70103),x70102))
% 163.96/163.65 [7077]P107(f316(f42(x70771,x70772),f316(a44,x70773)))+~P107(f316(f42(f316(f73(a1),x70771),f316(f73(a1),x70772)),x70773))
% 163.96/163.65 [7082]E(f316(f316(f23(f905(x70821,a895)),f316(f316(f298(x70821),x70822),x70823)),f316(f316(f298(x70821),x70822),f178(f905(x70821,a895)))),x70823)+P107(f316(f316(f318(x70821),x70822),x70823))
% 163.96/163.65 [7105]E(f316(f316(f91(f905(x71051,a895)),f316(f162(x71051),x71052)),f316(f162(x71051),x71053)),f178(f905(x71051,a895)))+~P107(f316(f127(x71051),f316(f316(f124(x71051),x71052),x71053)))
% 163.96/163.65 [7120]~P107(f316(f316(f318(x71201),x71202),f316(f162(x71201),x71203)))+~P107(f316(f127(x71201),f316(f316(f141(x71201),x71202),x71203)))
% 163.96/163.65 [7192]P30(x71921,x71922,x71923)+P107(f316(f316(f225(a898),f752(x71923,x71922,x71921)),f316(f179(f899(x71921)),x71923)))
% 163.96/163.65 [7202]E(f316(f316(f91(f905(x72021,a895)),x72022),x72023),f178(f905(x72021,a895)))+P107(f316(f316(f318(x72021),f853(x72023,x72022,x72021)),x72022))
% 163.96/163.65 [7203]E(f316(f316(f91(f905(x72031,a895)),x72032),x72033),f178(f905(x72031,a895)))+P107(f316(f316(f318(x72031),f856(x72033,x72032,x72031)),x72033))
% 163.96/163.65 [7206]E(f104(x72061,f316(f316(f165(x72061),x72062),x72063)),f316(f316(f165(x72061),f316(f316(f23(a898),x72062),f72(a898))),x72063))+~P107(f316(f316(f224(a898),x72062),f316(f179(f899(x72061)),x72063)))
% 163.96/163.65 [7266]~P32(x72663,x72662,x72661)+P107(f316(f316(f225(a898),f745(x72661,x72662,x72663)),f316(f179(f899(x72663)),x72661)))
% 163.96/163.65 [7286]P107(f316(f316(f225(a898),f2(a898)),x72861))+P107(f316(f316(f224(a898),f316(f316(f75(a898),x72862),x72861)),f316(f316(f75(a898),x72863),x72861)))
% 163.96/163.65 [7287]P107(f316(f316(f225(a898),f2(a898)),x72871))+P107(f316(f316(f224(a898),f316(f316(f75(a898),x72871),x72872)),f316(f316(f75(a898),x72871),x72873)))
% 163.96/163.65 [7290]~P107(f316(f316(f318(x72901),x72902),x72903))+~P107(f316(f316(f318(x72901),x72902),f316(f73(f905(x72901,a895)),x72903)))
% 163.96/163.65 [7296]~P107(f316(f316(f225(f905(x72961,a895)),x72962),x72963))+P107(f316(f316(f224(f905(x72961,a895)),x72962),x72963))
% 163.96/163.65 [7404]~P107(f316(f316(f224(a898),x74043),x74042))+P107(f316(f316(f224(a898),f316(f316(f23(a898),x74041),x74042)),f316(f316(f23(a898),x74041),x74043)))
% 163.96/163.65 [7405]~P107(f316(f316(f224(a898),x74051),x74053))+P107(f316(f316(f224(a898),f316(f316(f23(a898),x74051),x74052)),f316(f316(f23(a898),x74053),x74052)))
% 163.96/163.65 [7407]~P107(f316(f316(f224(a898),x74072),x74073))+P107(f316(f316(f224(a898),f316(f316(f75(a898),x74071),x74072)),f316(f316(f75(a898),x74071),x74073)))
% 163.96/163.65 [7409]~P107(f316(f316(f224(a898),x74091),x74093))+P107(f316(f316(f224(a898),f316(f316(f75(a898),x74091),x74092)),f316(f316(f75(a898),x74093),x74092)))
% 163.96/163.65 [7410]~P107(f316(f316(f224(a898),x74102),x74103))+P107(f316(f316(f224(a898),f316(f316(f74(a898),x74101),x74102)),f316(f316(f74(a898),x74101),x74103)))
% 163.96/163.65 [7411]~P107(f316(f316(f224(a898),x74111),x74113))+P107(f316(f316(f224(a898),f316(f316(f74(a898),x74111),x74112)),f316(f316(f74(a898),x74113),x74112)))
% 163.96/163.65 [7412]~P107(f316(f316(f224(a898),x74121),x74123))+P107(f316(f316(f224(a898),f316(f316(f29(a898),x74121),x74122)),f316(f316(f29(a898),x74123),x74122)))
% 163.96/163.65 [7413]~P107(f316(f316(f224(a1),x74132),x74133))+P107(f316(f316(f224(a1),f316(f316(f74(a1),x74131),x74132)),f316(f316(f74(a1),x74131),x74133)))
% 163.96/163.65 [7416]~P107(f316(f316(f225(a898),x74162),x74163))+P107(f316(f316(f225(a898),f316(f316(f74(a898),x74161),x74162)),f316(f316(f74(a898),x74161),x74163)))
% 163.96/163.65 [7417]~P107(f316(f316(f225(a898),x74171),x74173))+P107(f316(f316(f225(a898),f316(f316(f74(a898),x74171),x74172)),f316(f316(f74(a898),x74173),x74172)))
% 163.96/163.65 [7418]~P107(f316(f316(f225(a1),x74181),x74183))+P107(f316(f316(f225(a1),f316(f316(f74(a1),x74181),x74182)),f316(f316(f74(a1),x74183),x74182)))
% 163.96/163.65 [7498]E(x74981,x74982)+~P107(f316(f316(f318(x74983),x74981),f316(f316(f298(x74983),x74982),f178(f905(x74983,a895)))))
% 163.96/163.65 [7500]~E(f316(f316(f91(f905(x75001,a895)),x75002),x75003),f178(f905(x75001,a895)))+P107(f316(f316(f224(f905(x75001,a895)),x75002),f316(f73(f905(x75001,a895)),x75003)))
% 163.96/163.65 [7505]P107(f316(f316(f318(f905(x75051,a895)),x75052),f316(f297(x75051),x75053)))+~P107(f316(f316(f224(f905(x75051,a895)),x75052),x75053))
% 163.96/163.65 [7556]E(f316(f316(f141(x75561),f316(f316(f154(x75561),x75562),x75563)),f316(f316(f128(x75561),f316(a102,x75563)),x75562)),f316(f316(f128(x75561),x75563),x75562))+~P107(f316(f316(f225(a898),x75563),f316(f179(f899(x75561)),x75562)))
% 163.96/163.65 [7582]P107(f316(f316(f318(f904(x75821,x75821)),x75822),f296(x75821,x75823)))+~P107(f316(f316(f318(f904(x75821,x75821)),x75822),x75823))
% 163.96/163.65 [7591]~P107(f316(f316(f318(f905(x75911,a895)),x75912),f316(f297(x75911),x75913)))+P107(f316(f316(f224(f905(x75911,a895)),x75912),x75913))
% 163.96/163.65 [7634]P107(f316(f316(f224(f905(x76341,a895)),x76342),f30(f905(x76341,a895),x76343)))+~P107(f316(f316(f318(f905(x76341,a895)),x76342),x76343))
% 163.96/163.65 [7659]~P141(x76591)+E(f316(f316(f75(x76591),f316(f316(f233(x76591),f316(f73(x76591),f72(x76591))),x76592)),f316(f316(f233(x76591),x76593),x76592)),f316(f316(f233(x76591),f316(f73(x76591),x76593)),x76592))
% 163.96/163.65 [7681]E(f316(f316(f154(x76811),x76812),f316(f316(f23(a898),f316(f179(f899(x76811)),x76812)),f316(a102,x76813))),f316(f316(f154(x76811),f316(f158(x76811),x76812)),x76813))+~P107(f316(f316(f225(a898),x76813),f316(f179(f899(x76811)),x76812)))
% 163.96/163.65 [7698]~E(f316(f316(f91(f905(x76981,a895)),f860(x76983,x76982,x76981)),x76983),f178(f905(x76981,a895)))+E(f316(f316(f91(f905(x76981,a895)),f30(f905(x76981,a895),x76982)),x76983),f178(f905(x76981,a895)))
% 163.96/163.65 [7762]~P107(f316(f316(f318(x77623),x77622),f316(f162(x77623),x77621)))+P107(f316(f316(f225(a898),f642(x77621,x77622,x77623)),f316(f179(f899(x77623)),x77621)))
% 163.96/163.65 [7770]P107(f316(f316(f318(x77701),f316(f316(f154(x77701),x77702),x77703)),f316(f162(x77701),x77702)))+~P107(f316(f316(f225(a898),x77703),f316(f179(f899(x77701)),x77702)))
% 163.96/163.65 [7868]~P107(f316(x78682,f710(x78683,x78682,x78681)))+E(f316(f316(f128(x78681),f316(f179(f899(x78681)),f167(x78681,x78682,x78683))),x78683),f103(x78681))
% 163.96/163.65 [7881]P107(f316(f316(f224(f905(f899(x78811),a895)),f151(x78811,x78812)),f151(x78811,x78813)))+~P107(f316(f316(f224(f905(x78811,a895)),x78812),x78813))
% 163.96/163.65 [7882]P107(f316(f316(f224(f905(f899(x78821),a895)),f150(x78821,x78822)),f150(x78821,x78823)))+~P107(f316(f316(f224(f905(x78821,a895)),x78822),x78823))
% 163.96/163.65 [7908]E(f316(f316(f91(f905(x79081,a895)),f30(f905(x79081,a895),x79082)),x79083),f178(f905(x79081,a895)))+P107(f316(f316(f318(f905(x79081,a895)),f860(x79083,x79082,x79081)),x79082))
% 163.96/163.65 [7910]~P107(f316(f316(f318(f905(x79101,a895)),x79103),x79102))+P107(f316(f316(f224(f905(x79101,a895)),f31(f905(x79101,a895),x79102)),x79103))
% 163.96/163.65 [7912]E(f316(f316(f91(f905(x79121,a895)),x79122),x79123),f178(f905(x79121,a895)))+~P107(f316(f316(f224(f905(x79121,a895)),x79122),f316(f73(f905(x79121,a895)),x79123)))
% 163.96/163.65 [7964]E(f316(f316(f23(a898),f316(f316(f74(a898),f316(f155(a898),x79641)),x79642)),f316(f316(f154(a898),x79641),x79643)),f316(f155(a898),f316(f316(f149(a898,x79641),x79643),x79642)))+~P107(f316(f316(f225(a898),x79643),f316(f179(f899(a898)),x79641)))
% 163.96/163.65 [8015]P107(f316(f316(f224(a898),x80151),x80152))+~P107(f316(f316(f224(a898),f316(f316(f74(a898),x80153),x80151)),f316(f316(f74(a898),x80153),x80152)))
% 163.96/163.65 [8018]P107(f316(f316(f225(a898),x80181),x80182))+~P107(f316(f316(f225(a898),f316(f316(f74(a898),x80183),x80181)),f316(f316(f74(a898),x80183),x80182)))
% 163.96/163.65 [8019]P107(f316(f316(f225(a898),x80191),x80192))+~P107(f316(f316(f225(a898),f316(f316(f75(a898),x80193),x80191)),f316(f316(f75(a898),x80193),x80192)))
% 163.96/163.65 [8020]P107(f316(f316(f225(a898),x80201),x80202))+~P107(f316(f316(f225(a898),f316(f316(f75(a898),x80201),x80203)),f316(f316(f75(a898),x80202),x80203)))
% 163.96/163.65 [8048]P107(f316(f316(f225(a898),f2(a898)),x80481))+~P107(f316(f316(f225(a898),f316(f316(f75(a898),x80482),x80481)),f316(f316(f75(a898),x80483),x80481)))
% 163.96/163.65 [8049]P107(f316(f316(f225(a898),f2(a898)),x80491))+~P107(f316(f316(f225(a898),f316(f316(f75(a898),x80491),x80492)),f316(f316(f75(a898),x80491),x80493)))
% 163.96/163.65 [8123]E(f236(x81231,x81232,x81233),x81232)+~P107(f316(f316(f224(f905(x81231,a895)),x81233),f316(f316(f298(x81231),x81232),f178(f905(x81231,a895)))))
% 163.96/163.65 [8173]~P107(f316(f127(x81731),x81733))+E(f316(f126(x81731,f316(f316(f8(a895,a895,x81731),a311),f316(a313,x81732))),x81733),f160(x81731,x81732,x81733))
% 163.96/163.65 [8198]E(f316(f316(f128(x81981),f316(f179(f899(x81981)),f167(x81981,x81982,x81983))),x81983),f103(x81981))+P107(f316(f316(f318(x81981),f710(x81983,x81982,x81981)),f316(f162(x81981),x81983)))
% 163.96/163.65 [8202]E(f316(f316(f124(x82021),f316(f316(f165(x82021),x82022),x82023)),f316(f316(f141(x82021),f316(f316(f154(x82021),x82023),x82022)),f103(x82021))),f316(f316(f165(x82021),f316(a102,x82022)),x82023))+~P107(f316(f316(f225(a898),x82022),f316(f179(f899(x82021)),x82023)))
% 163.96/163.65 [8268]E(f316(f126(x82681,f316(f316(f8(a895,a895,x82681),a311),f316(a313,x82682))),x82683),x82683)+P107(f316(f316(f318(x82681),x82682),f316(f162(x82681),x82683)))
% 163.96/163.65 [8274]P107(f316(f316(f224(f905(f905(x82741,a895),a895)),f237(x82741,x82742)),f237(x82741,x82743)))+~P107(f316(f316(f224(f905(x82741,a895)),x82742),x82743))
% 163.96/163.65 [8313]~P107(f316(f127(x83131),x83133))+P107(f316(f127(x83131),f316(f316(f316(f173(f899(x83131),f899(x83131)),x83132),f157(x83131)),x83133)))
% 163.96/163.65 [8319]~P107(f316(f316(f225(a898),x83192),x83193))+P107(f316(f316(f225(a898),f316(f316(f75(a898),f316(a102,x83191)),x83192)),f316(f316(f75(a898),f316(a102,x83191)),x83193)))
% 163.96/163.65 [8339]P107(f316(f316(f224(f905(f905(x83391,a895),a895)),f316(f297(x83391),x83392)),f316(f297(x83391),x83393)))+~P107(f316(f316(f224(f905(x83391,a895)),x83392),x83393))
% 163.96/163.65 [8409]~E(f316(f299(x84091,x84092,x84093),f231(f905(x84091,a895))),f231(f905(x84092,a895)))+E(f316(f66(x84091,x84092,x84092,x84093),f85(x84091,x84092,f231(f905(x84091,a895)),x84093)),f25(x84092))
% 163.96/163.65 [8503]~P107(f316(f316(f224(f905(x85031,a895)),x85033),x85032))+P107(f316(f316(f224(f905(x85031,a895)),f316(f73(f905(x85031,a895)),x85032)),f316(f73(f905(x85031,a895)),x85033)))
% 163.96/163.65 [8536]E(f316(f299(a898,a898,f316(f316(f7(a898,a898,a898),f23(a898)),x85361)),f316(f291(a898,x85362),x85363)),f316(f291(a898,f316(f316(f23(a898),x85362),x85361)),f316(f316(f23(a898),x85363),x85361)))+~P107(f316(f316(f225(a898),x85361),x85363))
% 163.96/163.65 [8562]~P82(x85621)+E(f316(f316(f74(x85621),x85622),f316(f132(x85621,x85621,f74(x85621),f2(x85621)),x85623)),f316(f132(x85621,x85621,f74(x85621),x85622),x85623))
% 163.96/163.65 [8637]~P89(x86371)+P107(f316(f316(f224(x86371),f316(f69(x86371),f316(f316(f23(x86371),x86372),x86373))),f316(f316(f74(x86371),f316(f69(x86371),x86372)),f316(f69(x86371),x86373))))
% 163.96/163.65 [8638]~P89(x86381)+P107(f316(f316(f224(x86381),f316(f69(x86381),f316(f316(f74(x86381),x86382),x86383))),f316(f316(f74(x86381),f316(f69(x86381),x86382)),f316(f69(x86381),x86383))))
% 163.96/163.65 [8649]E(f316(f316(f74(a1),f316(f316(f75(a1),x86491),f38(a1,f316(f316(f29(a1),x86492),x86491),x86493))),f38(a1,x86492,x86491)),f38(a1,x86492,f316(f316(f75(a1),x86491),x86493)))+~P107(f316(f316(f225(a1),f2(a1)),x86493))
% 163.96/163.65 [8655]E(f316(f316(f124(x86551),f316(f316(f165(x86551),x86552),x86553)),f316(f316(f141(x86551),f316(f131(x86551),f316(f316(f128(x86551),x86552),x86553))),f103(x86551))),f316(f316(f165(x86551),f316(a102,x86552)),x86553))+~P107(f316(f316(f225(a898),x86552),f316(f179(f899(x86551)),x86553)))
% 163.96/163.65 [8677]E(f316(f257(x86771,f316(f316(f144(x86771,f904(a89,x86771)),f316(f241(a89,x86771),f72(a89))),x86772)),f316(a3,x86773)),f316(f316(f154(x86771),x86772),x86773))+~P107(f316(f316(f225(a898),x86773),f316(f179(f899(x86771)),x86772)))
% 163.96/163.65 [8746]P107(f316(f316(f318(f904(x87461,x87461)),x87462),f316(f316(f278(x87461,x87461,x87461),x87463),f296(x87461,x87463))))+~P107(f316(f316(f318(f904(x87461,x87461)),x87462),x87463))
% 163.96/163.65 [8758]E(f316(f299(x87581,x87582,x87583),f231(f905(x87581,a895))),f231(f905(x87582,a895)))+~E(f316(f66(x87581,x87582,x87582,x87583),f85(x87581,x87582,f231(f905(x87581,a895)),x87583)),f25(x87582))
% 163.96/163.65 [8767]P107(f316(f316(f224(a898),x87671),x87672))+~P107(f316(f316(f224(a898),f316(f316(f75(a898),f316(a102,x87673)),x87671)),f316(f316(f75(a898),f316(a102,x87673)),x87672)))
% 163.96/163.65 [8783]P107(f316(f316(f224(f905(x87831,a895)),x87832),x87833))+~P107(f316(f316(f224(f905(x87831,a895)),f316(f73(f905(x87831,a895)),x87833)),f316(f73(f905(x87831,a895)),x87832)))
% 163.96/163.65 [8807]P107(f316(f127(x88071),x88072))+~P107(f316(f127(x88071),f316(f316(f316(f173(f899(x88071),f899(x88071)),x88073),f157(x88071)),x88072)))
% 163.96/163.65 [8880]E(f316(f274(x88801,x88801,f296(x88801,x88802)),x88803),x88803)+~P107(f316(f316(f224(f905(x88801,a895)),f316(f274(x88801,x88801,x88802),x88803)),x88803))
% 163.96/163.65 [8928]~P108(x89281)+P10(x89281,f316(f126(x89281,f316(f316(f7(x89281,x89281,a895),a313),f316(x89282,x89283))),x89283))
% 163.96/163.65 [8935]~P107(f316(f316(f224(a898),x89351),x89352))+P107(f316(f316(f224(a898),x89351),f316(f132(a898,a898,f74(a898),x89352),x89353)))
% 163.96/163.65 [9021]~P107(f316(f316(f318(f904(x90211,x90211)),x90212),f296(x90211,x90213)))+P107(f316(f316(f318(f904(x90211,x90211)),x90212),f316(f316(f173(f904(x90211,x90211),a895),f603(x90213,x90212,x90211)),x90213)))
% 163.96/163.65 [9106]~P82(x91061)+E(f316(f316(f74(x91061),x91062),f316(f132(x91061,x91061,f316(f7(x91061,x91061,x91061),f74(x91061)),f2(x91061)),f316(f158(x91061),x91063))),f316(f132(x91061,x91061,f74(x91061),x91062),x91063))
% 163.96/163.65 [9223]~P23(x92232,x92231,x92233,f231(f905(x92232,a895)),f231(f905(x92231,a895)))+E(f85(x92231,x92232,f231(f905(x92231,a895)),f85(x92232,x92231,f231(f905(x92232,a895)),x92233)),x92233)
% 163.96/163.65 [9376]P51(x93761,x93762,x93763)+P107(f316(f316(f318(f904(x93761,x93762)),f316(f316(f241(x93761,x93762),f822(x93763,x93762,x93761)),f813(x93763,x93762,x93761))),x93763))
% 163.96/163.65 [9377]P51(x93771,x93772,x93773)+P107(f316(f316(f318(f904(x93771,x93772)),f316(f316(f241(x93771,x93772),f822(x93773,x93772,x93771)),f812(x93773,x93772,x93771))),x93773))
% 163.96/163.65 [9447]~P107(f316(f316(f318(f904(x94471,x94471)),x94472),f316(f316(f278(x94471,x94471,x94471),x94473),f296(x94471,x94473))))+P107(f316(f316(f318(f904(x94471,x94471)),x94472),f316(f316(f173(f904(x94471,x94471),a895),f609(x94473,x94472,x94471)),x94473)))
% 163.96/163.65 [9448]~P107(f316(x94481,f316(f316(f154(x94482),x94483),f316(f179(f899(x94482)),f167(x94482,x94481,x94483)))))+~P107(f316(f316(f225(a898),f316(f179(f899(x94482)),f167(x94482,x94481,x94483))),f316(f179(f899(x94482)),x94483)))
% 163.96/163.65 [9537]~P107(f316(f316(f224(f905(x95371,a895)),x95372),x95373))+P107(f316(f316(f224(f905(x95371,a895)),f316(f316(f7(x95371,f905(x95371,a895),a895),f318(x95371)),x95372)),f316(f316(f7(x95371,f905(x95371,a895),a895),f318(x95371)),x95373)))
% 163.96/163.65 [9599]~P107(f316(f316(f318(f904(f905(x95991,a895),f905(x95991,a895))),f316(f316(f241(f905(x95991,a895),f905(x95991,a895)),x95992),x95993)),f303(x95991)))+P107(f316(f316(f225(f905(x95991,a895)),x95992),x95993))
% 163.96/163.65 [9627]P54(x96271,x96272,x96273)+~P107(f316(f316(f318(f904(x96271,x96271)),f316(f316(f241(x96271,x96271),f587(x96273,x96272,x96271)),f586(x96273,x96272,x96271))),x96273))
% 163.96/163.65 [9628]P54(x96281,x96282,x96283)+~P107(f316(f316(f318(f904(x96281,x96281)),f316(f316(f241(x96281,x96281),f586(x96283,x96282,x96281)),f587(x96283,x96282,x96281))),x96283))
% 163.96/163.65 [9665]~P107(f316(f316(f318(f904(f899(x96651),f899(x96651))),f316(f316(f241(f899(x96651),f899(x96651)),x96652),x96652)),f137(x96651,x96653)))+P107(f316(f316(f318(f904(x96651,x96651)),f316(f316(f241(x96651,x96651),f639(x96652,x96653,x96651)),f639(x96652,x96653,x96651))),x96653))
% 163.96/163.65 [9715]P107(f316(f316(f224(f905(x97151,a895)),x97152),x97153))+~P107(f316(f316(f224(f905(x97151,a895)),f316(f316(f7(x97151,f905(x97151,a895),a895),f318(x97151)),x97152)),f316(f316(f7(x97151,f905(x97151,a895),a895),f318(x97151)),x97153)))
% 163.96/163.65 [9796]E(f316(f316(f23(a898),f316(f316(f6(a898,a898),x97961),f316(f271(a898),x97962))),f316(f316(f6(a898,a898),x97963),f316(f271(a898),x97962))),f316(f316(f6(a898,a898),f316(f316(f18(a898,a898,a898),f316(f316(f8(a898,f905(a898,a898),a898),f23(a898)),x97961)),x97963)),f316(f271(a898),x97962)))+~P107(f316(f316(f224(a898),f316(x97963,f545(x97962,x97961,x97963))),f316(x97961,f545(x97962,x97961,x97963))))
% 163.96/163.65 [5727]~P71(x57271)+E(f316(f316(f23(x57271),f316(f316(f74(x57271),x57272),x57273)),x57273),x57272)
% 163.96/163.65 [5728]~P71(x57281)+E(f316(f316(f74(x57281),f316(f316(f23(x57281),x57282),x57283)),x57283),x57282)
% 163.96/163.65 [5963]~P71(x59631)+E(f316(f316(f74(x59631),x59632),f316(f316(f74(x59631),f316(f73(x59631),x59632)),x59633)),x59633)
% 163.96/163.65 [6050]~P81(x60501)+E(f316(f316(f75(x60501),f316(f316(f233(x60501),x60502),x60503)),x60502),f316(f316(f233(x60501),x60502),f316(a102,x60503)))
% 163.96/163.65 [6051]~P117(x60511)+E(f316(f316(f75(x60511),f316(f316(f233(x60511),x60512),x60513)),x60512),f316(f316(f233(x60511),x60512),f316(a102,x60513)))
% 163.96/163.65 [6276]~P123(x62761)+E(f316(f69(x62761),f316(f316(f233(x62761),f316(f73(x62761),x62762)),x62763)),f316(f69(x62761),f316(f316(f233(x62761),x62762),x62763)))
% 163.96/163.65 [6325]~P81(x63251)+E(f316(f316(f75(x63251),f316(f316(f233(x63251),x63252),x63253)),x63252),f316(f316(f75(x63251),x63252),f316(f316(f233(x63251),x63252),x63253)))
% 163.96/163.65 [6380]E(f316(f316(f23(a89),f316(f316(f74(a89),x63801),x63802)),x63803),f263(x63801,x63802,x63803))+~P107(f316(f316(f225(a89),x63802),x63803))
% 163.96/163.65 [6404]~E(f316(f316(f128(x64041),x64043),x64042),f103(x64041))+P107(f316(f316(f224(a898),f316(f179(f899(x64041)),x64042)),x64043))
% 163.96/163.65 [6543]E(f316(f316(f75(a898),f316(f93(a898),x65431)),f316(f316(f75(a898),f316(f93(a898),x65432)),x65433)),f2(a898))+~P107(f316(f316(f225(a1),x65431),a77))
% 163.96/163.65 [6559]~P65(x65591)+E(f316(f316(f233(x65591),f316(f316(f280(x65591),f72(x65591)),x65592)),x65593),f316(f316(f280(x65591),f72(x65591)),f316(f316(f233(x65591),x65592),x65593)))
% 163.96/163.65 [6640]E(f316(f316(f23(a898),f316(f316(f74(a898),x66401),x66402)),x66403),f316(f316(f23(a898),x66401),f316(f316(f23(a898),x66403),x66402)))+~P107(f316(f316(f224(a898),x66402),x66403))
% 163.96/163.65 [6642]E(f316(f316(f23(a898),f316(f316(f74(a898),x66421),x66422)),x66423),f316(f316(f74(a898),x66421),f316(f316(f23(a898),x66422),x66423)))+~P107(f316(f316(f224(a898),x66423),x66422))
% 163.96/163.65 [6681]~P84(x66811)+P107(f316(f316(f224(x66811),f316(f316(f91(x66811),x66812),x66813)),x66813))
% 163.96/163.65 [6682]~P103(x66821)+P107(f316(f316(f224(x66821),f316(f316(f91(x66821),x66822),x66823)),x66823))
% 163.96/163.65 [6683]~P84(x66831)+P107(f316(f316(f224(x66831),f316(f316(f91(x66831),x66832),x66833)),x66832))
% 163.96/163.65 [6684]~P103(x66841)+P107(f316(f316(f224(x66841),f316(f316(f91(x66841),x66842),x66843)),x66842))
% 163.96/163.65 [6685]~P108(x66851)+P107(f316(f316(f224(x66851),f316(f316(f222(x66851),x66852),x66853)),x66853))
% 163.96/163.65 [6686]~P108(x66861)+P107(f316(f316(f224(x66861),f316(f316(f222(x66861),x66862),x66863)),x66862))
% 163.96/163.65 [6700]E(f316(f316(f29(a1),f316(f316(f29(a1),x67001),x67002)),x67003),f316(f316(f29(a1),x67001),f316(f316(f75(a1),x67002),x67003)))+~P107(f316(f316(f225(a1),f2(a1)),x67003))
% 163.96/163.65 [6754]~P117(x67541)+E(f316(f316(f74(x67541),f316(f316(f75(x67541),x67542),x67543)),x67543),f316(f316(f75(x67541),f316(f316(f74(x67541),x67542),f72(x67541))),x67543))
% 163.96/163.65 [6755]~P98(x67551)+E(f316(f316(f75(x67551),f316(f73(x67551),f316(f93(x67551),x67552))),x67553),f316(f316(f75(x67551),f316(f93(x67551),f316(f73(a1),x67552))),x67553))
% 163.96/163.65 [6828]~P82(x68281)+E(f316(f155(x68281),f316(f316(f144(x68282,x68281),f316(f16(x68281,x68282),f2(x68281))),x68283)),f2(x68281))
% 163.96/163.65 [6846]E(f316(f316(f74(a898),f316(f93(a898),x68461)),f316(f316(f74(a898),f316(f93(a898),x68462)),x68463)),f316(f316(f74(a898),f316(f93(a898),x68462)),x68463))+~P107(f316(a183,f316(f93(a1),x68461)))
% 163.96/163.65 [6861]~P2(x68611)+E(f30(x68611,f316(f316(f298(x68611),x68612),f316(f316(f298(x68611),x68613),f178(f905(x68611,a895))))),f316(f316(f100(x68611),x68612),x68613))
% 163.96/163.65 [6862]~P2(x68621)+E(f31(x68621,f316(f316(f298(x68621),x68622),f316(f316(f298(x68621),x68623),f178(f905(x68621,a895))))),f316(f316(f91(x68621),x68622),x68623))
% 163.96/163.65 [6886]E(f316(f316(f165(x68861),x68862),x68863),x68863)+~P107(f316(f316(f224(a898),f316(f179(f899(x68861)),x68863)),x68862))
% 163.96/163.65 [6898]E(f316(f316(f128(x68981),x68982),x68983),f103(x68981))+~P107(f316(f316(f224(a898),f316(f179(f899(x68981)),x68983)),x68982))
% 163.96/163.65 [6909]E(f316(f316(f74(a898),f316(f316(f23(a898),x69091),x69092)),x69093),f316(f316(f23(a898),f316(f316(f74(a898),x69091),x69093)),x69092))+~P107(f316(f316(f224(a898),x69092),x69091))
% 163.96/163.65 [6923]~P107(f316(f316(f225(a898),x69231),x69233))+P107(f316(f316(f225(a898),f316(f316(f23(a898),x69231),x69232)),x69233))
% 163.96/163.65 [6950]~P108(x69501)+E(f160(x69501,x69502,f316(f316(f138(x69501,x69501,f5(x69501)),x69502),x69503)),x69503)
% 163.96/163.65 [7039]E(f316(f316(f23(a898),f316(f316(f74(a898),x70391),x70392)),f316(a102,x70393)),f316(f316(f23(a898),x70391),f316(a102,f316(f316(f23(a898),x70393),x70392))))+~P107(f316(f316(f224(a898),x70392),x70393))
% 163.96/163.65 [7040]~P123(x70401)+P107(f316(f316(f224(x70401),f2(x70401)),f316(f316(f233(x70401),f316(f69(x70401),x70402)),x70403)))
% 163.96/163.65 [7089]P21(x70891,x70892,x70893)+~P107(f316(f316(f224(f905(f897(x70891),a895)),x70893),x70892))
% 163.96/163.65 [7132]~P107(f316(f54(x71321),x71322))+P107(f316(f54(x71321),f316(f316(f23(f905(x71321,a895)),x71322),x71323)))
% 163.96/163.65 [7133]~P107(f316(f54(x71331),x71333))+P107(f316(f54(x71331),f316(f316(f91(f905(x71331,a895)),x71332),x71333)))
% 163.96/163.65 [7134]~P107(f316(f54(x71341),x71342))+P107(f316(f54(x71341),f316(f316(f91(f905(x71341,a895)),x71342),x71343)))
% 163.96/163.65 [7276]~P36(x72761,x72763)+P36(x72761,f316(f316(f91(f905(f904(x72761,x72761),a895)),x72762),x72763))
% 163.96/163.65 [7277]~P36(x72771,x72772)+P36(x72771,f316(f316(f91(f905(f904(x72771,x72771),a895)),x72772),x72773))
% 163.96/163.65 [7400]~P84(x74001)+E(f10(x74001,f316(f162(x74001),f316(f316(f141(x74001),x74002),x74003))),f316(f132(x74001,x74001,f91(x74001),x74002),x74003))
% 163.96/163.65 [7401]~P84(x74011)+E(f13(x74011,f316(f162(x74011),f316(f316(f141(x74011),x74012),x74013))),f316(f132(x74011,x74011,f100(x74011),x74012),x74013))
% 163.96/163.65 [7402]~P108(x74021)+E(f14(x74021,f316(f162(x74021),f316(f316(f141(x74021),x74022),x74023))),f316(f132(x74021,x74021,f222(x74021),x74022),x74023))
% 163.96/163.65 [7403]~P108(x74031)+E(f15(x74031,f316(f162(x74031),f316(f316(f141(x74031),x74032),x74033))),f316(f132(x74031,x74031,f223(x74031),x74032),x74033))
% 163.96/163.65 [7466]~P107(f316(f54(x74661),x74662))+P107(f316(f316(f224(a898),f316(f28(x74661),x74662)),f316(f28(x74661),f316(f316(f298(x74661),x74663),x74662))))
% 163.96/163.65 [7473]E(f316(f316(f100(f905(a898,a895)),f316(f291(a898,x74731),x74732)),f316(f291(a898,x74732),f316(f316(f74(a898),x74732),x74733))),f316(f291(a898,x74731),f316(f316(f74(a898),x74732),x74733)))+~P107(f316(f316(f224(a898),x74731),x74732))
% 163.96/163.65 [7482]P107(f316(f316(f224(a898),x74821),x74822))+~P107(f316(f316(f224(a898),f316(f316(f74(a898),x74823),x74821)),x74822))
% 163.96/163.65 [7483]P107(f316(f316(f224(a898),x74831),x74832))+~P107(f316(f316(f224(a898),f316(f316(f74(a898),x74831),x74833)),x74832))
% 163.96/163.65 [7484]P107(f316(f316(f225(a898),x74841),x74842))+~P107(f316(f316(f225(a898),f316(f316(f74(a898),x74841),x74843)),x74842))
% 163.96/163.65 [7524]~P108(x75241)+E(f11(x75241,f222(x75241),f316(f162(x75241),f316(f316(f141(x75241),x75242),x75243))),f316(f132(x75241,x75241,f222(x75241),x75242),x75243))
% 163.96/163.65 [7525]~P108(x75251)+E(f12(x75251,f223(x75251),f316(f162(x75251),f316(f316(f141(x75251),x75252),x75253))),f316(f132(x75251,x75251,f223(x75251),x75252),x75253))
% 163.96/163.65 [7529]~E(x75292,f178(f905(f904(x75291,x75291),a895)))+P107(f316(f316(f224(f905(f904(x75291,x75291),a895)),x75292),x75293))
% 163.96/163.65 [7629]E(f316(f316(f100(f905(x76291,a895)),x76292),f316(f316(f23(f905(x76291,a895)),x76293),x76292)),x76293)+~P107(f316(f316(f224(f905(x76291,a895)),x76292),x76293))
% 163.96/163.65 [7630]~P107(f316(f316(f224(a898),x76301),f316(f316(f74(a898),x76303),x76302)))+P107(f316(f316(f224(a898),f316(f316(f23(a898),x76301),x76302)),x76303))
% 163.96/163.65 [7631]~P107(f316(f316(f225(a898),x76311),f316(f316(f23(a898),x76313),x76312)))+P107(f316(f316(f225(a898),f316(f316(f74(a898),x76311),x76312)),x76313))
% 163.96/163.65 [7688]E(x76881,f103(x76882))+E(f316(f131(x76882),f316(f316(f316(f173(f899(x76882),f899(x76882)),x76883),f157(x76882)),x76881)),f316(f316(f154(x76882),x76881),f38(a898,x76883,f316(f179(f899(x76882)),x76881))))
% 163.96/163.65 [7697]E(f316(f316(f298(x76971),x76972),f316(f316(f23(f905(x76971,a895)),x76973),f316(f316(f298(x76971),x76972),f178(f905(x76971,a895))))),x76973)+~P107(f316(f316(f318(x76971),x76972),x76973))
% 163.96/163.65 [7859]P107(f316(f316(f224(a898),x78591),f316(f316(f74(a898),x78592),x78593)))+~P107(f316(f316(f224(a898),f316(f316(f23(a898),x78591),x78593)),x78592))
% 163.96/163.65 [7860]P107(f316(f316(f225(a898),x78601),f316(f316(f23(a898),x78602),x78603)))+~P107(f316(f316(f225(a898),f316(f316(f74(a898),x78601),x78603)),x78602))
% 163.96/163.65 [7885]P107(f316(f54(x78851),x78852))+~P107(f316(f54(x78851),f316(f316(f100(f905(x78851,a895)),x78853),x78852)))
% 163.96/163.65 [7886]P107(f316(f54(x78861),x78862))+~P107(f316(f54(x78861),f316(f316(f100(f905(x78861,a895)),x78862),x78863)))
% 163.96/163.65 [7963]~P44(x79631,x79633)+P107(f316(f316(f318(f904(x79631,x79631)),f316(f316(f241(x79631,x79631),x79632),x79632)),x79633))
% 163.96/163.65 [8096]E(f316(f316(f154(a898),f129(a898,f316(f291(a898,x80961),x80962))),x80963),f316(f316(f74(a898),x80961),x80963))+~P107(f316(f316(f225(a898),f316(f316(f74(a898),x80961),x80963)),x80962))
% 163.96/163.65 [8162]E(f316(f316(f165(a898),x81621),f129(a898,f316(f291(a898,x81622),x81623))),f129(a898,f316(f291(a898,x81622),f316(f316(f74(a898),x81622),x81621))))+~P107(f316(f316(f224(a898),f316(f316(f74(a898),x81622),x81621)),x81623))
% 163.96/163.65 [8219]~P98(x82191)+E(f316(f316(f233(x82191),x82192),f316(f93(a898),f316(f316(f74(a1),x82193),x82193))),f316(f316(f80(x82191,x82191),f316(f316(f233(x82191),x82192),f316(f93(a898),x82193))),f316(f316(f18(x82191,x82191,x82191),f75(x82191)),f5(x82191))))
% 163.96/163.65 [8484]E(f316(f316(f124(x84841),f316(f316(f165(x84841),x84842),x84843)),f316(f316(f141(x84841),f316(f316(f154(x84841),x84843),x84842)),f316(f316(f128(x84841),f316(a102,x84842)),x84843))),x84843)+~P107(f316(f316(f225(a898),x84842),f316(f179(f899(x84841)),x84843)))
% 163.96/163.65 [8491]P107(f316(f316(f224(f905(x84911,a895)),f304(x84911,x84912)),f304(x84911,x84913)))+~P107(f316(f316(f224(f905(x84911,f905(x84911,a895))),x84913),x84912))
% 163.96/163.65 [8492]~P54(x84921,x84922,x84923)+P54(x84921,x84922,f316(f316(f23(f905(f904(x84921,x84921),a895)),x84923),f296(x84921,f178(f905(f904(x84921,x84921),a895)))))
% 163.96/163.65 [8511]P107(f316(f316(f224(f905(x85111,a895)),f305(x85111,x85112)),f305(x85111,x85113)))+~P107(f316(f316(f224(f905(f904(x85111,x85111),a895)),x85113),x85112))
% 163.96/163.65 [8518]~P127(x85181)+P107(f316(f316(f224(x85181),f2(x85181)),f316(f316(f74(x85181),f316(f316(f75(x85181),x85182),x85182)),f316(f316(f75(x85181),x85183),x85183))))
% 163.96/163.65 [8551]P107(f316(f316(f224(f905(x85511,a895)),f316(f270(x85511),x85512)),f316(f270(x85511),x85513)))+~P107(f316(f316(f224(f905(f904(x85511,x85511),a895)),x85512),x85513))
% 163.96/163.65 [8580]~P53(x85801,x85802)+~P107(f316(f316(f318(f904(x85801,x85801)),f316(f316(f241(x85801,x85801),x85803),x85803)),x85802))
% 163.96/163.65 [8582]~P36(x85821,x85822)+~P107(f316(f316(f318(f904(x85821,x85821)),f316(f316(f241(x85821,x85821),x85823),x85823)),x85822))
% 163.96/163.65 [8639]P107(f316(f316(f224(f905(x86391,a895)),f30(f905(x86391,a895),x86392)),f30(f905(x86391,a895),x86393)))+~P107(f316(f316(f224(f905(f905(x86391,a895),a895)),x86392),x86393))
% 163.96/163.65 [8640]P107(f316(f316(f224(f905(x86401,a895)),f31(f905(x86401,a895),x86402)),f31(f905(x86401,a895),x86403)))+~P107(f316(f316(f224(f905(f905(x86401,a895),a895)),x86403),x86402))
% 163.96/163.65 [8696]~P5(x86961,x86963,x86962)+P107(f316(f316(f224(f905(f904(x86961,x86961),a895)),x86962),f316(f316(f243(x86961,x86961),x86963),f316(f16(f905(x86961,a895),x86961),x86963))))
% 163.96/163.65 [8697]~P52(x86971,x86973,x86972)+P107(f316(f316(f224(f905(f904(x86971,x86971),a895)),x86972),f316(f316(f243(x86971,x86971),x86973),f316(f16(f905(x86971,a895),x86971),x86973))))
% 163.96/163.65 [8748]~P89(x87481)+P107(f316(f316(f224(x87481),f316(f316(f23(x87481),f316(f69(x87481),x87482)),f316(f69(x87481),x87483))),f316(f69(x87481),f316(f316(f23(x87481),x87483),x87482))))
% 163.96/163.65 [8749]~P89(x87491)+P107(f316(f316(f224(x87491),f316(f316(f23(x87491),f316(f69(x87491),x87492)),f316(f69(x87491),x87493))),f316(f69(x87491),f316(f316(f23(x87491),x87492),x87493))))
% 163.96/163.65 [8781]P107(f316(f316(f224(f905(f904(x87811,x87811),a895)),f296(x87811,x87812)),f296(x87811,x87813)))+~P107(f316(f316(f224(f905(f904(x87811,x87811),a895)),x87812),x87813))
% 163.96/163.65 [8893]~P22(x88932,x88931,x88933,f231(f905(x88932,a895)))+E(f316(f66(x88931,x88932,x88932,f85(x88932,x88931,f231(f905(x88932,a895)),x88933)),x88933),f25(x88932))
% 163.96/163.65 [8953]P54(x89531,x89532,x89533)+~P54(x89531,x89532,f316(f316(f23(f905(f904(x89531,x89531),a895)),x89533),f296(x89531,f178(f905(f904(x89531,x89531),a895)))))
% 163.96/163.65 [8973]P107(f316(f316(f224(f905(f904(f899(x89731),f899(x89731)),a895)),f147(x89731,x89732)),f147(x89731,x89733)))+~P107(f316(f316(f224(f905(f904(x89731,x89731),a895)),x89732),x89733))
% 163.96/163.65 [8974]P107(f316(f316(f224(f905(f904(f899(x89741),f899(x89741)),a895)),f148(x89741,x89742)),f148(x89741,x89743)))+~P107(f316(f316(f224(f905(f904(x89741,x89741),a895)),x89742),x89743))
% 163.96/163.65 [8995]~P52(x89951,x89953,x89952)+P107(f316(f316(f224(f905(f904(x89951,x89951),a895)),x89952),f316(f316(f278(x89951,x89951,x89951),f316(f275(x89951,x89951),x89952)),x89952)))
% 163.96/163.65 [9049]~P107(f316(f127(x90491),x90492))+E(f316(f126(x90491,f316(f316(f7(x90491,f905(x90491,a895),a895),f318(x90491)),f316(f162(x90491),f166(x90491,x90492,x90493)))),x90492),f166(x90491,x90492,x90493))
% 163.96/163.65 [9104]E(x91041,x91042)+~P107(f316(f316(f318(f904(x91043,x91043)),f316(f316(f241(x91043,x91043),x91041),x91042)),f296(x91043,f178(f905(f904(x91043,x91043),a895)))))
% 163.96/163.65 [9186]P107(f316(f316(f318(x91861),x91862),f305(x91861,x91863)))+P107(f316(f316(f318(f904(x91861,x91861)),f316(f316(f241(x91861,x91861),f556(x91863,x91862,x91861)),x91862)),x91863))
% 163.96/163.65 [9187]P107(f316(f316(f318(x91871),x91872),f305(x91871,x91873)))+P107(f316(f316(f318(f904(x91871,x91871)),f316(f316(f241(x91871,x91871),f591(x91873,x91872,x91871)),x91872)),x91873))
% 163.96/163.65 [9188]P107(f316(f316(f318(x91881),x91882),f305(x91881,x91883)))+P107(f316(f316(f318(f904(x91881,x91881)),f316(f316(f241(x91881,x91881),f593(x91883,x91882,x91881)),x91882)),x91883))
% 163.96/163.65 [9224]P22(x92241,x92242,x92243,f231(f905(x92241,a895)))+~E(f316(f66(x92242,x92241,x92241,f85(x92241,x92242,f231(f905(x92241,a895)),x92243)),x92243),f25(x92241))
% 163.96/163.65 [9277]~P107(f316(f316(f318(f899(x92771)),x92773),f151(x92771,x92772)))+P107(f316(f150(x92771,f316(f316(f7(x92771,f905(x92771,a895),a895),f318(x92771)),x92772)),x92773))
% 163.96/163.65 [9300]P107(f316(x93003,x93002))+E(f316(f251(x93001),f316(f316(f18(x93001,a895,a895),f316(f316(f8(a895,f905(a895,a895),x93001),a314),f316(a313,x93002))),x93003)),f178(f905(x93001,a895)))
% 163.96/163.65 [9317]~P89(x93171)+P107(f316(f316(f224(x93171),f316(f69(x93171),f316(f316(f23(x93171),f316(f69(x93171),x93172)),f316(f69(x93171),x93173)))),f316(f69(x93171),f316(f316(f23(x93171),x93172),x93173))))
% 163.96/163.65 [9331]~P107(f316(x93313,x93312))+E(f316(f251(x93311),f316(f316(f18(x93311,a895,a895),f316(f316(f8(a895,f905(a895,a895),x93311),a314),f316(a313,x93312))),x93313)),f316(f316(f298(x93311),x93312),f178(f905(x93311,a895))))
% 163.96/163.65 [9338]~P107(f316(f316(f318(f905(x93381,a895)),x93383),f316(f297(x93381),x93382)))+P107(f316(f237(x93381,f316(f316(f7(x93381,f905(x93381,a895),a895),f318(x93381)),x93382)),x93383))
% 163.96/163.65 [9375]P36(x93751,x93752)+P107(f316(f316(f318(f904(x93751,x93751)),f316(f316(f241(x93751,x93751),f316(f386(x93752,x93751),f316(a102,x93753))),f316(f386(x93752,x93751),x93753))),x93752))
% 163.96/163.65 [9516]P107(f316(f316(f318(f899(x95161)),x95162),f151(x95161,x95163)))+~P107(f316(f150(x95161,f316(f316(f7(x95161,f905(x95161,a895),a895),f318(x95161)),x95163)),x95162))
% 163.96/163.65 [9529]P107(f316(f316(f318(f905(x95291,a895)),x95292),f316(f297(x95291),x95293)))+~P107(f316(f237(x95291,f316(f316(f7(x95291,f905(x95291,a895),a895),f318(x95291)),x95293)),x95292))
% 163.96/163.65 [9594]P107(f316(f316(f318(x95941),f316(f257(x95941,x95942),x95943)),f316(f162(x95941),f316(f316(f144(f904(a89,x95941),x95941),f245(a89,x95941)),x95942))))+~P107(f316(f316(f225(a89),x95943),f316(f155(a89),f316(f316(f144(f904(a89,x95941),a89),f240(a89,x95941)),x95942))))
% 163.96/163.65 [9644]P107(f316(f316(f224(f905(f904(f899(x96441),f899(x96441)),a895)),f148(x96441,x96442)),f316(f316(f243(f899(x96441),f899(x96441)),f151(x96441,x96443)),f316(f16(f905(f899(x96441),a895),f899(x96441)),f151(x96441,x96443)))))+~P107(f316(f316(f224(f905(f904(x96441,x96441),a895)),x96442),f316(f316(f243(x96441,x96441),x96443),f316(f16(f905(x96441,a895),x96441),x96443))))
% 163.96/163.65 [9668]P107(f316(f316(f318(x96681),f316(f240(x96681,f904(a89,a89)),f316(f255(x96681,x96682),x96683))),f316(f162(x96681),f316(f316(f144(f904(a89,x96681),x96681),f245(a89,x96681)),x96682))))+~P107(f316(f316(f225(a89),f2(a89)),f316(f155(a89),f316(f316(f144(f904(a89,x96681),a89),f240(a89,x96681)),x96682))))
% 163.96/163.65 [9683]~P107(f316(f316(f224(f905(f904(x96831,x96831),a895)),x96832),f316(f316(f243(x96831,x96831),x96833),f316(f16(f905(x96831,a895),x96831),x96833))))+P107(f316(f316(f224(f905(f904(x96831,x96831),a895)),f316(f316(f278(x96831,x96831,x96831),x96832),f296(x96831,x96832))),f316(f316(f243(x96831,x96831),x96833),f316(f16(f905(x96831,a895),x96831),x96833))))
% 163.96/163.65 [9985]~P36(x99851,x99852)+~P107(f316(f316(f318(f904(x99851,x99851)),f316(f316(f241(x99851,x99851),f316(x99853,f316(a102,f387(x99852,x99851,x99853)))),f316(x99853,f387(x99852,x99851,x99853)))),x99852))
% 163.96/163.65 [9986]~P36(x99861,x99862)+~P107(f316(f316(f318(f904(x99861,x99861)),f316(f316(f241(x99861,x99861),f316(x99863,f316(a102,f624(x99863,x99862,x99861)))),f316(x99863,f624(x99863,x99862,x99861)))),x99862))
% 163.96/163.65 [10243]P107(f316(f316(f224(f905(f904(f905(x102431,a895),f905(x102431,a895)),a895)),f316(f316(f278(f905(x102431,a895),f905(x102431,a895),f905(x102431,a895)),f309(x102431,x102432)),f316(f316(f100(f905(f904(f905(x102431,a895),f905(x102431,a895)),a895)),f309(x102431,x102433)),f316(f316(f298(f904(f905(x102431,a895),f905(x102431,a895))),f316(f316(f241(f905(x102431,a895),f905(x102431,a895)),f178(f905(x102431,a895))),f178(f905(x102431,a895)))),f178(f905(f904(f905(x102431,a895),f905(x102431,a895)),a895)))))),f309(x102431,x102432)))+~P107(f316(f316(f224(f905(f904(x102431,x102431),a895)),f316(f316(f278(x102431,x102431,x102431),x102432),x102433)),x102432))
% 163.96/163.65 [10244]P107(f316(f316(f224(f905(f904(f905(x102441,a895),f905(x102441,a895)),a895)),f316(f316(f278(f905(x102441,a895),f905(x102441,a895),f905(x102441,a895)),f307(x102441,x102442)),f316(f316(f100(f905(f904(f905(x102441,a895),f905(x102441,a895)),a895)),f307(x102441,x102443)),f316(f316(f298(f904(f905(x102441,a895),f905(x102441,a895))),f316(f316(f241(f905(x102441,a895),f905(x102441,a895)),f178(f905(x102441,a895))),f178(f905(x102441,a895)))),f178(f905(f904(f905(x102441,a895),f905(x102441,a895)),a895)))))),f307(x102441,x102442)))+~P107(f316(f316(f224(f905(f904(x102441,x102441),a895)),f316(f316(f278(x102441,x102441,x102441),x102442),x102443)),x102442))
% 163.96/163.65 [7399]~P107(f316(f316(f224(a898),x73992),x73991))+E(f316(f316(f23(a898),f316(a102,f316(f316(f23(a898),x73991),x73992))),x73993),f316(f316(f23(a898),f316(a102,x73991)),f316(f316(f74(a898),x73992),x73993)))
% 163.96/163.65 [7438]~P62(x74381)+E(f316(f316(f74(x74381),f38(x74381,x74382,x74383)),f316(f316(f75(x74381),f316(f316(f29(x74381),x74382),x74383)),x74383)),x74382)
% 163.96/163.65 [7635]E(f316(f316(f75(a898),f316(f93(a898),x76351)),f316(f316(f75(a898),f316(f93(a898),x76352)),x76353)),f316(f316(f75(a898),f316(f93(a898),f316(f316(f75(a1),x76351),x76352))),x76353))+P107(f316(f316(f225(a1),x76351),a77))
% 163.96/163.65 [8105]~P107(f316(f316(f224(a898),x81053),x81052))+P107(f316(f316(f224(a898),x81051),f316(f316(f23(a898),f316(f316(f74(a898),x81052),x81051)),x81053)))
% 163.96/163.65 [8304]~P107(f316(f316(f224(a898),x83041),x83042))+E(f316(f316(f124(a898),f129(a898,f316(f291(a898,x83041),x83042))),f129(a898,f316(f291(a898,x83042),f316(f316(f74(a898),x83042),x83043)))),f129(a898,f316(f291(a898,x83041),f316(f316(f74(a898),x83042),x83043))))
% 163.96/163.65 [8559]~P107(f316(f54(x85591),x85592))+E(f316(a102,f316(f28(x85591),f316(f316(f23(f905(x85591,a895)),x85592),f316(f316(f298(x85591),x85593),f178(f905(x85591,a895)))))),f316(f28(x85591),f316(f316(f298(x85591),x85593),x85592)))
% 163.96/163.65 [8598]~P107(f316(f54(x85981),x85982))+E(f316(f316(f74(a898),f72(a898)),f316(f28(x85981),f316(f316(f23(f905(x85981,a895)),x85982),f316(f316(f298(x85981),x85983),f178(f905(x85981,a895)))))),f316(f28(x85981),f316(f316(f298(x85981),x85983),x85982)))
% 163.96/163.65 [8791]E(f316(f316(f23(a898),f316(f28(x87911),x87912)),f316(f28(x87911),f316(f316(f91(f905(x87911,a895)),x87912),x87913))),f316(f28(x87911),f316(f316(f23(f905(x87911,a895)),x87912),x87913)))+~P107(f316(f54(x87911),f316(f316(f91(f905(x87911,a895)),x87912),x87913)))
% 163.96/163.65 [9044]~P3(f316(x90442,f457(x90442,x90443,x90441)))+E(f316(f90(a1),f316(f316(f9(x90441,a898),f316(f316(f8(a1,a898,x90441),a94),x90442)),x90443)),f316(f316(f9(x90441,a1),x90442),x90443))
% 163.96/163.65 [9045]~P3(f316(x90452,f534(x90452,x90453,x90451)))+E(f316(f90(a1),f316(f316(f6(x90451,a898),f316(f316(f8(a1,a898,x90451),a94),x90452)),x90453)),f316(f316(f6(x90451,a1),x90452),x90453))
% 163.96/163.65 [9087]~P107(f316(f54(x90871),x90873))+P107(f316(f316(f224(a898),f316(f316(f23(a898),f316(f28(x90871),x90872)),f316(f28(x90871),x90873))),f316(f28(x90871),f316(f316(f23(f905(x90871,a895)),x90872),x90873))))
% 163.96/163.65 [9114]P107(f316(f316(f318(x91141),f457(x91142,x91143,x91141)),x91143))+E(f316(f90(a1),f316(f316(f9(x91141,a898),f316(f316(f8(a1,a898,x91141),a94),x91142)),x91143)),f316(f316(f9(x91141,a1),x91142),x91143))
% 163.96/163.65 [9115]P107(f316(f316(f318(x91151),f534(x91152,x91153,x91151)),x91153))+E(f316(f90(a1),f316(f316(f6(x91151,a898),f316(f316(f8(a1,a898,x91151),a94),x91152)),x91153)),f316(f316(f6(x91151,a1),x91152),x91153))
% 163.96/163.65 [9178]E(f79(x91781,f316(f316(f7(x91781,f905(x91781,a895),a895),f318(x91781)),f316(f316(f23(f905(x91781,a895)),x91782),f316(f316(f298(x91781),x91783),f178(f905(x91781,a895)))))),f236(x91781,x91783,x91782))+P107(f316(f316(f224(f905(x91781,a895)),x91782),f316(f316(f298(x91781),x91783),f178(f905(x91781,a895)))))
% 163.96/163.65 [9530]E(f316(f316(f144(f899(x95301),x95301),f316(f316(f7(f899(x95301),a898,x95301),f154(x95301)),x95302)),f316(f126(f899(x95301),f316(f316(f8(a898,a895,f899(x95301)),f316(f225(a898),x95302)),f179(f899(x95301)))),x95303)),f316(f316(f154(f899(x95301)),f169(x95301,x95303)),x95302))+~P107(f316(f316(f225(a898),x95302),f316(f179(f899(f899(x95301))),f169(x95301,x95303))))
% 163.96/163.65 [9617]E(f316(f126(x96171,x96172),x96173),f167(x96171,x96172,x96173))+P107(f316(f316(f318(x96171),f714(x96173,x96172,x96171)),f316(f162(x96171),f316(f316(f128(x96171),f316(f179(f899(x96171)),f167(x96171,x96172,x96173))),x96173))))
% 163.96/163.65 [9756]E(f316(f316(f128(x97561),f316(f179(f899(x97561)),f167(x97561,x97562,x97563))),x97563),f103(x97561))+~P107(f316(x97562,f316(f131(x97561),f316(f316(f128(x97561),f316(f179(f899(x97561)),f167(x97561,x97562,x97563))),x97563))))
% 163.96/163.65 [9850]~P107(f316(f316(f318(f904(x98501,x98501)),x98502),f296(x98501,x98503)))+P107(f316(f316(f318(f904(x98501,x98501)),x98502),f316(f316(f33(a898,f905(f904(x98501,x98501),a895)),f231(f905(a898,a895))),f316(f316(f7(a898,f905(f904(x98501,x98501),a895),f905(f904(x98501,x98501),a895)),f173(f904(x98501,x98501),a895)),x98503))))
% 163.96/163.65 [9911]~P107(f316(f316(f224(f905(x99111,a895)),f316(f316(f33(a898,f905(x99111,a895)),f316(f291(a898,f2(a898)),f522(x99113,x99112,x99111))),x99112)),x99113))+P107(f316(f316(f224(f905(x99111,a895)),f316(f316(f33(a898,f905(x99111,a895)),f231(f905(a898,a895))),x99112)),x99113))
% 163.96/163.65 [9958]~P107(f316(f316(f225(a1),f2(a1)),x99583))+P107(f316(f316(f225(a1),x99581),f316(f316(f74(a1),x99582),f316(f316(f75(a1),f316(f316(f74(a1),f316(f69(a1),f316(f316(f23(a1),x99582),x99581))),f72(a1))),x99583))))
% 163.96/163.65 [9972]~P36(x99721,f316(f316(f100(f905(f904(x99721,x99721),a895)),x99722),x99723))+P36(x99721,f316(f316(f100(f905(f904(x99721,x99721),a895)),f316(f316(f100(f905(f904(x99721,x99721),a895)),f316(f316(f278(x99721,x99721,x99721),x99722),x99722)),f316(f316(f278(x99721,x99721,x99721),x99723),x99722))),x99723))
% 163.96/163.65 [10047]P36(x100471,f316(f316(f100(f905(f904(x100471,x100471),a895)),x100472),x100473))+~P36(x100471,f316(f316(f100(f905(f904(x100471,x100471),a895)),f316(f316(f100(f905(f904(x100471,x100471),a895)),f316(f316(f278(x100471,x100471,x100471),x100472),x100472)),f316(f316(f278(x100471,x100471,x100471),x100473),x100472))),x100473))
% 163.96/163.65 [9621]~P141(x96211)+E(f316(f92(x96211),f316(a83,f316(f274(f904(a898,a898),f904(a898,a898),a98),f316(f316(f298(f904(a898,a898)),f316(f316(f241(a898,a898),x96212),x96213)),f178(f905(f904(a898,a898),a895)))))),f316(f316(f23(x96211),f316(f90(x96211),x96212)),f316(f90(x96211),x96213)))
% 163.96/163.65 [9703]P107(f316(x97033,x97032))+E(f316(f251(x97031),f316(f316(f18(x97031,a895,a895),f316(f316(f8(a895,f905(a895,a895),x97031),a314),f316(f316(f7(x97031,x97031,a895),a313),x97032))),x97033)),f178(f905(x97031,a895)))
% 163.96/163.65 [9705]~P107(f316(x97053,x97052))+E(f316(f251(x97051),f316(f316(f18(x97051,a895,a895),f316(f316(f8(a895,f905(a895,a895),x97051),a314),f316(f316(f7(x97051,x97051,a895),a313),x97052))),x97053)),f316(f316(f298(x97051),x97052),f178(f905(x97051,a895))))
% 163.96/163.65 [9937]E(x99371,x99372)+P107(f316(f316(f232(x99373,x99373,f316(f316(f8(f905(x99373,a895),f905(x99373,a895),x99373),f316(f8(a895,a895,x99373),a311)),a313)),x99371),x99372))
% 163.96/163.65 [10027]~E(x100271,x100272)+~P107(f316(f316(f232(x100273,x100273,f316(f316(f8(f905(x100273,a895),f905(x100273,a895),x100273),f316(f8(a895,a895,x100273),a311)),a313)),x100271),x100272))
% 163.96/163.65 [10039]~P107(f316(f54(x100391),x100393))+E(f316(f316(f57(x100391,f905(x100391,a895),f316(f316(f8(f905(x100391,a895),f905(f905(x100391,a895),f905(x100391,a895)),x100391),f316(f7(f905(x100391,a895),f905(x100391,a895),f905(x100391,a895)),f23(f905(x100391,a895)))),f316(f316(f7(x100391,f905(x100391,a895),f905(x100391,a895)),f298(x100391)),f178(f905(x100391,a895))))),x100392),x100393),f316(f316(f23(f905(x100391,a895)),x100392),x100393))
% 163.96/163.65 [10070]~P107(f316(f316(f225(a1),f2(a1)),x100703))+P107(f316(f316(f225(a1),f316(f316(f23(a1),x100701),f316(f316(f75(a1),f316(f316(f74(a1),f316(f69(a1),f316(f316(f23(a1),x100701),x100702))),f72(a1))),x100703))),x100702))
% 163.96/163.65 [10334]~P107(f316(f316(f318(x103341),x103343),f305(x103341,x103342)))+P107(f316(f304(x103341,f316(f316(f7(x103341,f905(f904(x103341,x103341),a895),f905(x103341,a895)),f316(f316(f8(f905(x103341,f905(f905(f904(x103341,x103341),a895),a895)),f905(f905(f904(x103341,x103341),a895),f905(x103341,a895)),x103341),f7(x103341,f905(f904(x103341,x103341),a895),a895)),f316(f316(f8(f905(x103341,f904(x103341,x103341)),f905(x103341,f905(f905(f904(x103341,x103341),a895),a895)),x103341),f316(f8(f904(x103341,x103341),f905(f905(f904(x103341,x103341),a895),a895),x103341),f318(f904(x103341,x103341)))),f241(x103341,x103341)))),x103342)),x103343))
% 163.96/163.65 [10347]P107(f316(f316(f318(x103471),x103472),f305(x103471,x103473)))+~P107(f316(f304(x103471,f316(f316(f7(x103471,f905(f904(x103471,x103471),a895),f905(x103471,a895)),f316(f316(f8(f905(x103471,f905(f905(f904(x103471,x103471),a895),a895)),f905(f905(f904(x103471,x103471),a895),f905(x103471,a895)),x103471),f7(x103471,f905(f904(x103471,x103471),a895),a895)),f316(f316(f8(f905(x103471,f904(x103471,x103471)),f905(x103471,f905(f905(f904(x103471,x103471),a895),a895)),x103471),f316(f8(f904(x103471,x103471),f905(f905(f904(x103471,x103471),a895),a895),x103471),f318(f904(x103471,x103471)))),f241(x103471,x103471)))),x103473)),x103472))
% 163.96/163.65 [9909]~P107(f316(f54(x99091),f316(f251(x99091),x99093)))+P107(f316(f54(x99091),f316(f251(x99091),f316(f316(f18(x99091,a895,a895),f316(f316(f8(a895,f905(a895,a895),x99091),a314),x99092)),x99093))))
% 163.96/163.65 [9910]~P107(f316(f54(x99101),f316(f251(x99101),x99102)))+P107(f316(f54(x99101),f316(f251(x99101),f316(f316(f18(x99101,a895,a895),f316(f316(f8(a895,f905(a895,a895),x99101),a314),x99102)),x99103))))
% 163.96/163.65 [10006]P107(f316(f54(x100061),f316(f251(x100061),x100062)))+~P107(f316(f54(x100061),f316(f251(x100061),f316(f316(f18(x100061,a895,a895),f316(f316(f8(a895,f905(a895,a895),x100061),a315),x100063)),x100062))))
% 163.96/163.65 [10007]P107(f316(f54(x100071),f316(f251(x100071),x100072)))+~P107(f316(f54(x100071),f316(f251(x100071),f316(f316(f18(x100071,a895,a895),f316(f316(f8(a895,f905(a895,a895),x100071),a315),x100072)),x100073))))
% 163.96/163.65 [10313]~P107(f316(f54(x103131),x103132))+P107(f316(f54(f899(x103131)),f316(f251(f899(x103131)),f316(f316(f18(f899(x103131),a895,a895),f316(f316(f8(a895,f905(a895,a895),f899(x103131)),a314),f316(f316(f7(f899(x103131),f905(x103131,a895),a895),f316(f316(f8(f905(x103131,a895),f905(f905(x103131,a895),a895),f899(x103131)),f224(f905(x103131,a895))),f162(x103131))),x103132))),f316(f316(f7(f899(x103131),a898,a895),f316(f316(f8(a898,f905(a898,a895),f899(x103131)),a313),f179(f899(x103131)))),x103133)))))
% 163.96/163.65 [10314]~P107(f316(f54(x103141),x103142))+P107(f316(f54(f899(x103141)),f316(f251(f899(x103141)),f316(f316(f18(f899(x103141),a895,a895),f316(f316(f8(a895,f905(a895,a895),f899(x103141)),a314),f316(f316(f7(f899(x103141),f905(x103141,a895),a895),f316(f316(f8(f905(x103141,a895),f905(f905(x103141,a895),a895),f899(x103141)),f224(f905(x103141,a895))),f162(x103141))),x103142))),f316(f316(f7(f899(x103141),a898,a895),f316(f316(f8(a898,f905(a898,a895),f899(x103141)),f224(a898)),f179(f899(x103141)))),x103143)))))
% 163.96/163.65 [10020]~P117(x100201)+E(f316(f316(f233(x100201),x100202),f316(f316(f75(a898),f316(f93(a898),f316(f316(f74(a1),f316(f316(f23(a1),f316(f316(f74(a1),a77),a77)),a87)),f316(f316(f23(a1),f316(f316(f74(a1),a77),a77)),a87)))),x100203)),f316(f316(f75(x100201),f316(f316(f233(x100201),x100202),x100203)),f316(f316(f233(x100201),x100202),x100203)))
% 163.96/163.65 [10050]~P81(x100501)+E(f316(f316(f233(x100501),f316(f316(f233(x100501),x100502),x100503)),f316(f93(a898),f316(f316(f74(a1),f316(f316(f23(a1),f316(f316(f74(a1),a77),a77)),a87)),f316(f316(f23(a1),f316(f316(f74(a1),a77),a77)),a87)))),f316(f316(f233(x100501),x100502),f316(f316(f75(a898),f316(f93(a898),f316(f316(f74(a1),f316(f316(f23(a1),f316(f316(f74(a1),a77),a77)),a87)),f316(f316(f23(a1),f316(f316(f74(a1),a77),a77)),a87)))),x100503)))
% 163.96/163.65 [10108]~P141(x101081)+E(f316(f316(f233(x101081),f316(f73(x101081),x101082)),f316(f316(f75(a898),f316(f93(a898),f316(f316(f74(a1),f316(f316(f23(a1),f316(f316(f74(a1),a77),a77)),a87)),f316(f316(f23(a1),f316(f316(f74(a1),a77),a77)),a87)))),x101083)),f316(f316(f233(x101081),x101082),f316(f316(f75(a898),f316(f93(a898),f316(f316(f74(a1),f316(f316(f23(a1),f316(f316(f74(a1),a77),a77)),a87)),f316(f316(f23(a1),f316(f316(f74(a1),a77),a77)),a87)))),x101083)))
% 163.96/163.65 [10251]~P123(x102511)+P107(f316(f316(f224(x102511),f2(x102511)),f316(f316(f74(x102511),f316(f316(f233(x102511),x102512),f316(f93(a898),f316(f316(f74(a1),f316(f316(f23(a1),f316(f316(f74(a1),a77),a77)),a87)),f316(f316(f23(a1),f316(f316(f74(a1),a77),a77)),a87))))),f316(f316(f233(x102511),x102513),f316(f93(a898),f316(f316(f74(a1),f316(f316(f23(a1),f316(f316(f74(a1),a77),a77)),a87)),f316(f316(f23(a1),f316(f316(f74(a1),a77),a77)),a87)))))))
% 163.96/163.65 [10118]~P117(x101181)+E(f316(f316(f233(x101181),x101182),f316(a102,f316(f316(f75(a898),f316(f93(a898),f316(f316(f74(a1),f316(f316(f23(a1),f316(f316(f74(a1),a77),a77)),a87)),f316(f316(f23(a1),f316(f316(f74(a1),a77),a77)),a87)))),x101183))),f316(f316(f75(x101181),x101182),f316(f316(f75(x101181),f316(f316(f233(x101181),x101182),x101183)),f316(f316(f233(x101181),x101182),x101183))))
% 163.96/163.65 [10169]~P81(x101691)+E(f316(f316(f75(x101691),x101692),f316(f316(f233(x101691),f316(f316(f233(x101691),x101692),x101693)),f316(f93(a898),f316(f316(f74(a1),f316(f316(f23(a1),f316(f316(f74(a1),a77),a77)),a87)),f316(f316(f23(a1),f316(f316(f74(a1),a77),a77)),a87))))),f316(f316(f233(x101691),x101692),f316(a102,f316(f316(f75(a898),f316(f93(a898),f316(f316(f74(a1),f316(f316(f23(a1),f316(f316(f74(a1),a77),a77)),a87)),f316(f316(f23(a1),f316(f316(f74(a1),a77),a77)),a87)))),x101693))))
% 163.96/163.65 [10208]~P123(x102081)+P107(f316(f316(f224(x102081),f2(x102081)),f316(f316(f233(x102081),x102082),f316(f316(f75(a898),f316(f93(a898),f316(f316(f74(a1),f316(f316(f23(a1),f316(f316(f74(a1),a77),a77)),a87)),f316(f316(f23(a1),f316(f316(f74(a1),a77),a77)),a87)))),x102083))))
% 163.96/163.65 [10288]~P98(x102881)+E(f316(f316(f23(x102881),f316(f316(f74(x102881),f316(f316(f233(x102881),x102882),f316(f93(a898),f316(f316(f74(a1),f316(f316(f23(a1),f316(f316(f74(a1),a77),a77)),a87)),f316(f316(f23(a1),f316(f316(f74(a1),a77),a77)),a87))))),f316(f316(f233(x102881),x102883),f316(f93(a898),f316(f316(f74(a1),f316(f316(f23(a1),f316(f316(f74(a1),a77),a77)),a87)),f316(f316(f23(a1),f316(f316(f74(a1),a77),a77)),a87)))))),f316(f316(f75(x102881),f316(f316(f75(x102881),f316(f93(x102881),f316(f316(f74(a1),f316(f316(f23(a1),f316(f316(f74(a1),a77),a77)),a87)),f316(f316(f23(a1),f316(f316(f74(a1),a77),a77)),a87)))),x102882)),x102883)),f316(f316(f233(x102881),f316(f316(f23(x102881),x102882),x102883)),f316(f93(a898),f316(f316(f74(a1),f316(f316(f23(a1),f316(f316(f74(a1),a77),a77)),a87)),f316(f316(f23(a1),f316(f316(f74(a1),a77),a77)),a87)))))
% 163.96/163.65 [10289]~P98(x102891)+E(f316(f316(f74(x102891),f316(f316(f74(x102891),f316(f316(f233(x102891),x102892),f316(f93(a898),f316(f316(f74(a1),f316(f316(f23(a1),f316(f316(f74(a1),a77),a77)),a87)),f316(f316(f23(a1),f316(f316(f74(a1),a77),a77)),a87))))),f316(f316(f233(x102891),x102893),f316(f93(a898),f316(f316(f74(a1),f316(f316(f23(a1),f316(f316(f74(a1),a77),a77)),a87)),f316(f316(f23(a1),f316(f316(f74(a1),a77),a77)),a87)))))),f316(f316(f75(x102891),f316(f316(f75(x102891),f316(f93(x102891),f316(f316(f74(a1),f316(f316(f23(a1),f316(f316(f74(a1),a77),a77)),a87)),f316(f316(f23(a1),f316(f316(f74(a1),a77),a77)),a87)))),x102892)),x102893)),f316(f316(f233(x102891),f316(f316(f74(x102891),x102892),x102893)),f316(f93(a898),f316(f316(f74(a1),f316(f316(f23(a1),f316(f316(f74(a1),a77),a77)),a87)),f316(f316(f23(a1),f316(f316(f74(a1),a77),a77)),a87)))))
% 163.96/163.65 [7902]P22(x79021,x79022,x79023,x79024)+~E(f854(x79024,x79023,x79022,x79021),f855(x79024,x79023,x79022,x79021))
% 163.96/163.65 [8196]P33(x81961,x81962,x81963,x81964,f103(x81962))+~E(x81964,f103(x81961))
% 163.96/163.65 [8197]P33(x81971,x81972,x81973,f103(x81971),x81974)+~E(x81974,f103(x81972))
% 163.96/163.65 [8737]~P33(x87372,x87373,x87374,x87371,f103(x87373))+E(x87371,f103(x87372))
% 163.96/163.65 [8738]~P33(x87383,x87382,x87384,f103(x87383),x87381)+E(x87381,f103(x87382))
% 163.96/163.65 [5146]~P14(x51463,x51461,x51464)+E(f316(f316(x51461,x51462),x51462),x51462)
% 163.96/163.65 [5392]P107(f316(x53922,x53924))+E(f316(f126(x53921,x53922),f159(x53921,x53923,x53924)),f103(x53921))
% 163.96/163.65 [5429]~E(x54294,f178(f905(x54291,a895)))+E(f316(f299(x54291,x54292,x54293),x54294),f178(f905(x54292,a895)))
% 163.96/163.65 [5676]~P107(f316(x56762,x56764))+E(f316(f126(x56761,x56762),f159(x56761,x56763,x56764)),f159(x56761,x56763,x56764))
% 163.96/163.65 [5706]~E(f316(f299(x57062,x57063,x57064),x57061),f178(f905(x57063,a895)))+E(x57061,f178(f905(x57062,a895)))
% 163.96/163.65 [5893]~P4(x58931,x58933)+E(f260(x58931,x58932,f259(x58931,x58933),x58934),x58934)
% 163.96/163.65 [6009]~P108(x60092)+E(f316(f316(f138(x60091,x60092,x60093),x60094),f103(x60091)),f316(f316(f141(x60091),x60094),f103(x60091)))
% 163.96/163.65 [6374]~E(x63741,f178(f905(x63742,a895)))+~P107(f316(f55(x63742,x63743,x63741),x63744))
% 163.96/163.65 [6396]~P57(x63961,x63963,x63964,x63962)+P107(f316(f54(x63961),x63962))
% 163.96/163.65 [6398]~P57(x63981,x63983,x63982,x63984)+P107(f316(f54(x63981),x63982))
% 163.96/163.65 [6406]~P57(x64062,x64063,x64064,x64061)+~E(x64061,f178(f905(x64062,a895)))
% 163.96/163.65 [6440]~P111(x64401)+E(f316(f316(f91(f905(x64401,a895)),f316(f291(x64401,x64402),x64403)),f292(x64401,x64403,x64404)),f178(f905(x64401,a895)))
% 163.96/163.65 [6467]~P107(f316(f316(x64673,x64674),x64672))+P107(f316(f316(f318(x64671),x64672),f283(x64671,x64673,x64674)))
% 163.96/163.65 [6468]~P107(f316(f316(x64683,x64684),x64682))+P107(f316(f316(f318(x64681),x64682),f284(x64681,x64683,x64684)))
% 163.96/163.65 [6469]~P107(f316(f316(x64693,x64692),x64694))+P107(f316(f316(f318(x64691),x64692),f285(x64691,x64693,x64694)))
% 163.96/163.65 [6470]~P107(f316(f316(x64703,x64702),x64704))+P107(f316(f316(f318(x64701),x64702),f287(x64701,x64703,x64704)))
% 163.96/163.65 [6615]~P111(x66151)+E(f316(f316(f91(f905(x66151,a895)),f295(x66151,x66152,x66153)),f292(x66151,x66153,x66154)),f178(f905(x66151,a895)))
% 163.96/163.65 [6616]~P111(x66161)+E(f316(f316(f91(f905(x66161,a895)),f294(x66161,x66162,x66163)),f295(x66161,x66163,x66164)),f178(f905(x66161,a895)))
% 163.96/163.65 [6617]~P111(x66171)+E(f316(f316(f91(f905(x66171,a895)),f294(x66171,x66172,x66173)),f294(x66171,x66173,x66174)),f178(f905(x66171,a895)))
% 163.96/163.65 [6618]~P111(x66181)+E(f316(f316(f91(f905(x66181,a895)),f292(x66181,x66182,x66183)),f295(x66181,x66183,x66184)),f178(f905(x66181,a895)))
% 163.96/163.65 [6619]~P111(x66191)+E(f316(f316(f91(f905(x66191,a895)),f292(x66191,x66192,x66193)),f294(x66191,x66193,x66194)),f178(f905(x66191,a895)))
% 163.96/163.65 [6657]P107(f316(f316(x66571,x66572),f367(x66572,x66571)))+~P107(f316(f238(x66573,x66574,x66571),x66572))
% 163.96/163.65 [6739]~P108(x67392)+E(f316(f162(x67391),f140(x67391,x67392,x67393,x67394)),f316(f162(x67391),x67394))
% 163.96/163.65 [6791]~P146(x67911)+E(f180(x67911,x67912,f316(a102,x67913),x67914),f180(x67911,x67912,x67913,f316(x67912,x67914)))
% 163.96/163.65 [6855]~P107(f316(f316(f318(x68554),x68553),f283(x68554,x68551,x68552)))+P107(f316(f316(x68551,x68552),x68553))
% 163.96/163.65 [6856]~P107(f316(f316(f318(x68564),x68563),f284(x68564,x68561,x68562)))+P107(f316(f316(x68561,x68562),x68563))
% 163.96/163.65 [6857]~P107(f316(f316(f318(x68574),x68572),f285(x68574,x68571,x68573)))+P107(f316(f316(x68571,x68572),x68573))
% 163.96/163.65 [6858]~P107(f316(f316(f318(x68584),x68582),f287(x68584,x68581,x68583)))+P107(f316(f316(x68581,x68582),x68583))
% 163.96/163.65 [6935]E(f316(f28(f906(x69351,x69352)),f302(x69351,x69352,x69353,x69354)),f2(a898))+P107(f316(f54(x69352),x69354))
% 163.96/163.65 [6936]E(f316(f28(f906(x69361,x69362)),f302(x69361,x69362,x69363,x69364)),f2(a898))+P107(f316(f54(x69361),x69363))
% 163.96/163.65 [7141]~P11(x71414,x71411,x71412)+E(f316(f66(x71411,x71411,x71411,f316(x71412,x71413)),f316(x71412,x71413)),f316(x71412,x71413))
% 163.96/163.65 [7384]E(f266(x73841,x73842,x73843,x73844),f316(f241(f905(a89,f905(a895,f902(f900(x73841)))),f904(a89,a89)),f34(x73841)))+~P107(f316(f316(f224(a89),x73843),f2(a89)))
% 163.96/163.65 [8027]~E(x80272,x80273)+P107(f316(f316(f318(f904(x80271,x80271)),f316(f316(f241(x80271,x80271),x80272),x80273)),f296(x80271,x80274)))
% 163.96/163.65 [8056]~P22(x80561,x80562,x80563,f231(f905(x80561,a895)))+E(f316(f71(x80561,x80562,f231(f905(x80561,a895)),x80563),f316(x80563,x80564)),x80564)
% 163.96/163.65 [8057]~P22(x80571,x80572,x80573,f231(f905(x80571,a895)))+E(f316(f85(x80571,x80572,f231(f905(x80571,a895)),x80573),f316(x80573,x80574)),x80574)
% 163.96/163.65 [8145]~P107(f316(f316(f318(f899(x81451)),f316(f316(f141(x81451),x81454),x81452)),f151(x81451,x81453)))+P107(f316(f316(f318(f899(x81451)),x81452),f151(x81451,x81453)))
% 163.96/163.65 [8146]~P107(f316(f316(f318(f899(x81461)),f316(f316(f124(x81461),x81464),x81462)),f151(x81461,x81463)))+P107(f316(f316(f318(f899(x81461)),x81462),f151(x81461,x81463)))
% 163.96/163.65 [8147]~P107(f316(f316(f318(f899(x81471)),f316(f316(f124(x81471),x81472),x81474)),f151(x81471,x81473)))+P107(f316(f316(f318(f899(x81471)),x81472),f151(x81471,x81473)))
% 163.96/163.65 [8158]~P108(x81581)+P10(x81581,f316(f316(f144(x81582,x81581),x81583),f140(x81582,x81581,x81583,x81584)))
% 163.96/163.65 [8262]P22(x82624,x82623,x82621,x82622)+E(f316(x82621,f854(x82622,x82621,x82623,x82624)),f316(x82621,f855(x82622,x82621,x82623,x82624)))
% 163.96/163.65 [8368]~P22(x83682,x83681,x83684,x83683)+P22(x83681,x83682,f71(x83682,x83681,x83683,x83684),f316(f299(x83682,x83681,x83684),x83683))
% 163.96/163.65 [8509]P36(f904(x85092,x85094),f269(x85092,x85094,x85091,x85093))+P107(f316(x85091,f877(x85092,x85093,x85094,x85091)))
% 163.96/163.65 [8623]E(x86231,x86232)+~P107(f316(f316(f318(f904(x86233,x86233)),f316(f316(f241(x86233,x86233),x86231),x86232)),f252(x86233,x86234)))
% 163.96/163.65 [8688]~P107(f316(f54(f906(x86883,x86881)),f302(x86883,x86881,x86884,x86882)))+P107(f316(f54(x86881),x86882))
% 163.96/163.65 [8689]~P107(f316(f54(f906(x86891,x86893)),f302(x86891,x86893,x86892,x86894)))+P107(f316(f54(x86891),x86892))
% 163.96/163.65 [8698]~P22(x86981,x86982,x86983,x86984)+P23(x86981,x86982,x86983,x86984,f316(f299(x86981,x86982,x86983),x86984))
% 163.96/163.65 [8699]P8(x86991,x86992,x86993,x86994)+~E(f316(x86994,f327(x86992,x86994,x86993,x86991)),f316(x86994,f328(x86992,x86994,x86993,x86991)))
% 163.96/163.65 [8792]~P23(x87922,x87923,x87924,x87921,f178(f905(x87923,a895)))+E(x87921,f178(f905(x87922,a895)))
% 163.96/163.65 [8793]~P23(x87933,x87932,x87934,f178(f905(x87933,a895)),x87931)+E(x87931,f178(f905(x87932,a895)))
% 163.96/163.65 [8885]P36(f904(x88851,x88852),f269(x88851,x88852,x88853,x88854))+~P36(x88852,f316(x88854,f877(x88851,x88854,x88852,x88853)))
% 163.96/163.65 [9452]E(f316(f316(f149(x94521,x94522),f661(x94523,x94524,x94522,x94521)),f662(x94523,x94524,x94522,x94521)),x94524)+~P107(f316(f316(f318(f904(f899(x94521),f899(x94521))),f316(f316(f241(f899(x94521),f899(x94521)),x94522),x94524)),f147(x94521,x94523)))
% 163.96/163.65 [9457]~P107(f316(f316(f318(f904(f899(x94571),f899(x94571))),f316(f316(f241(f899(x94571),f899(x94571)),x94572),x94573)),f135(x94571,x94574)))+P107(f316(f316(f318(f904(f899(x94571),f899(x94571))),f316(f316(f241(f899(x94571),f899(x94571)),x94572),x94573)),f137(x94571,x94574)))
% 163.96/163.65 [9567]P107(f316(f54(x95671),x95672))+~P107(f316(f316(f318(f904(f905(x95671,a895),f905(x95671,a895))),f316(f316(f241(f905(x95671,a895),f905(x95671,a895)),x95673),x95672)),f307(x95671,x95674)))
% 163.96/163.65 [9568]P107(f316(f54(x95681),x95682))+~P107(f316(f316(f318(f904(f905(x95681,a895),f905(x95681,a895))),f316(f316(f241(f905(x95681,a895),f905(x95681,a895)),x95682),x95683)),f307(x95681,x95684)))
% 163.96/163.65 [9571]~E(x95711,f178(f905(x95712,a895)))+~P107(f316(f316(f318(f904(f905(x95712,a895),f905(x95712,a895))),f316(f316(f241(f905(x95712,a895),f905(x95712,a895)),x95713),x95711)),f307(x95712,x95714)))
% 163.96/163.65 [10219]P8(x102191,x102192,x102193,x102194)+~P107(f316(f316(f246(x102191,x102191,a895),f316(f316(f7(x102191,f905(x102191,x102192),f905(x102191,a895)),f316(f316(f8(f905(x102192,a895),f905(f905(x102191,x102192),f905(x102191,a895)),x102191),f8(x102192,a895,x102191)),f316(f316(f8(x102192,f905(x102192,a895),x102191),a313),x102194))),x102194)),f574(x102194,x102193,x102192,x102191)))
% 163.96/163.65 [5044]~E(x50442,f103(x50441))+E(f316(f316(f149(x50441,x50442),x50443),x50444),f103(x50441))
% 163.96/163.65 [5045]~E(x50454,f103(x50451))+E(f316(f316(f144(x50451,x50452),x50453),x50454),f103(x50452))
% 163.96/163.65 [5279]E(x52791,f103(x52792))+~E(f316(f316(f144(x52792,x52793),x52794),x52791),f103(x52793))
% 163.96/163.65 [5280]E(x52801,f103(x52802))+~E(f316(f316(f149(x52802,x52801),x52803),x52804),f103(x52802))
% 163.96/163.65 [5317]E(x53171,x53172)+~E(f316(f316(f124(x53173),x53174),x53171),f316(f316(f124(x53173),x53174),x53172))
% 163.96/163.65 [5318]E(x53181,x53182)+~E(f316(f316(f124(x53183),x53181),x53184),f316(f316(f124(x53183),x53182),x53184))
% 163.96/163.65 [5466]P107(f316(x54663,x54662))+E(f160(x54661,x54662,f316(f126(x54661,x54663),x54664)),f316(f126(x54661,x54663),x54664))
% 163.96/163.65 [5468]~P107(f316(x54682,x54683))+P32(x54681,x54682,f316(f316(f141(x54681),x54683),x54684))
% 163.96/163.65 [5478]E(x54781,x54782)+~E(f129(a898,f316(f291(a898,x54781),x54783)),f316(f316(f141(a898),x54782),x54784))
% 163.96/163.65 [5527]~P36(x55272,x55273)+P36(x55271,f316(f316(f277(x55272,x55271),x55273),x55274))
% 163.96/163.65 [5528]~P24(x55282,x55283)+P24(x55281,f316(f316(f67(x55282,x55281),x55283),x55284))
% 163.96/163.65 [5529]~P37(x55292,x55293)+P37(x55291,f316(f316(f277(x55292,x55291),x55293),x55294))
% 163.96/163.65 [5530]~P50(x55302,x55303)+P50(x55301,f316(f316(f277(x55302,x55301),x55303),x55304))
% 163.96/163.65 [5660]~P32(x56601,x56602,x56604)+P32(x56601,x56602,f316(f316(f141(x56601),x56603),x56604))
% 163.96/163.65 [5661]~P32(x56611,x56612,x56614)+P32(x56611,x56612,f316(f316(f124(x56611),x56613),x56614))
% 163.96/163.65 [5662]~P32(x56621,x56622,x56623)+P32(x56621,x56622,f316(f316(f124(x56621),x56623),x56624))
% 163.96/163.65 [5749]~E(x57491,f103(x57492))+~E(f316(f316(f124(x57492),x57493),f316(f316(f141(x57492),x57494),f103(x57492))),x57491)
% 163.96/163.65 [5774]~P30(x57743,x57741,f316(f316(f141(x57743),x57742),x57744))+P107(f316(x57741,x57742))
% 163.96/163.65 [5784]E(f104(x57841,x57842),x57843)+~E(f316(f316(f124(x57841),x57843),f316(f316(f141(x57841),x57844),f103(x57841))),x57842)
% 163.96/163.65 [5785]E(f134(x57851,x57852),x57853)+~E(f316(f316(f124(x57851),x57854),f316(f316(f141(x57851),x57853),f103(x57851))),x57852)
% 163.96/163.65 [5896]~E(f129(a898,f316(f291(a898,x58961),x58962)),f316(f316(f141(a898),x58963),x58964))+P107(f316(f316(f225(a898),x58961),x58962))
% 163.96/163.65 [5914]P30(x59141,x59142,x59143)+~P30(x59141,x59142,f316(f316(f141(x59141),x59144),x59143))
% 163.96/163.65 [5915]P30(x59151,x59152,x59153)+~P30(x59151,x59152,f316(f316(f124(x59151),x59154),x59153))
% 163.96/163.65 [5916]P30(x59161,x59162,x59163)+~P30(x59161,x59162,f316(f316(f124(x59161),x59163),x59164))
% 163.96/163.65 [6113]E(x61131,f316(f316(f124(x61132),f316(f158(x61132),x61133)),f316(f316(f141(x61132),x61134),f103(x61132))))+~E(f316(f158(x61132),x61131),f316(f316(f141(x61132),x61134),x61133))
% 163.96/163.65 [6294]~P111(x62941)+E(f316(f316(f91(f905(x62941,a895)),f316(f291(x62941,x62942),x62943)),f316(f291(x62941,x62943),x62944)),f178(f905(x62941,a895)))
% 163.96/163.65 [6305]E(f316(f316(f154(x63051),f159(x63051,x63052,x63053)),x63054),x63053)+~P107(f316(f316(f225(a898),x63054),x63052))
% 163.96/163.65 [6332]~P76(x63321)+E(f316(f155(x63321),f316(f316(f144(a1,x63321),x63322),f168(x63323,x63324))),f316(f316(f6(a1,x63321),x63322),f316(f162(a1),f168(x63323,x63324))))
% 163.96/163.65 [6333]~P76(x63331)+E(f316(f316(f6(a1,x63331),x63332),f316(f162(a1),f168(x63333,x63334))),f316(f155(x63331),f316(f316(f144(a1,x63331),x63332),f168(x63333,x63334))))
% 163.96/163.65 [6480]~E(x64802,f316(f316(f124(x64801),f316(f158(x64801),x64804)),f316(f316(f141(x64801),x64803),f103(x64801))))+E(f316(f158(x64801),x64802),f316(f316(f141(x64801),x64803),x64804))
% 163.96/163.65 [6496]~P16(x64962,x64963,x64964,x64961)+E(f316(x64961,f178(f905(x64962,a895))),f25(x64963))
% 163.96/163.65 [6524]~P111(x65241)+E(f316(f316(f91(f905(x65241,a895)),f295(x65241,x65242,x65243)),f316(f291(x65241,x65243),x65244)),f178(f905(x65241,a895)))
% 163.96/163.65 [6742]E(x67421,f178(f905(x67422,a895)))+~E(f302(x67423,x67422,x67424,x67421),f178(f905(f906(x67423,x67422),a895)))
% 163.96/163.65 [6743]E(x67431,f178(f905(x67432,a895)))+~E(f302(x67432,x67433,x67431,x67434),f178(f905(f906(x67432,x67433),a895)))
% 163.96/163.65 [6812]~P108(x68122)+E(f316(f179(f899(x68121)),f140(x68121,x68122,x68123,x68124)),f316(f179(f899(x68121)),x68124))
% 163.96/163.65 [6823]~P107(f316(f239(x68233,x68234,x68231),x68232))+P107(f316(f316(x68231,f857(x68232,x68231)),x68232))
% 163.96/163.65 [6869]~P107(f316(f54(x68692),x68694))+P107(f316(f54(x68691),f316(f299(x68692,x68691,x68693),x68694)))
% 163.96/163.65 [7101]~P22(x71012,x71011,x71013,x71014)+E(f316(f28(x71011),f316(f299(x71012,x71011,x71013),x71014)),f316(f28(x71012),x71014))
% 163.96/163.65 [7119]E(f316(f299(x71191,x71192,x71193),f316(f300(x71191,x71192,x71193),x71194)),x71194)+~E(f316(f299(x71191,x71192,x71193),f231(f905(x71191,a895))),f231(f905(x71192,a895)))
% 163.96/163.65 [7537]~P22(x75371,x75372,x75373,f231(f905(x75371,a895)))+E(f316(f300(x75371,x75372,x75373),f316(f299(x75371,x75372,x75373),x75374)),x75374)
% 163.96/163.65 [7820]E(x78201,x78202)+~P107(f316(f316(f318(x78203),x78201),f316(f162(x78203),f159(x78203,x78204,x78202))))
% 163.96/163.65 [7829]~E(x78291,f2(a898))+~P107(f316(f316(f318(x78292),x78293),f316(f162(x78292),f159(x78292,x78291,x78294))))
% 163.96/163.65 [7862]P107(f316(x78621,x78622))+~P107(f316(f316(f318(x78623),x78622),f316(f162(x78623),f167(x78623,x78621,x78624))))
% 163.96/163.65 [7974]~P107(f316(f316(f318(f899(x79741)),f316(f316(f141(x79741),x79742),x79744)),f151(x79741,x79743)))+P107(f316(f316(f318(x79741),x79742),x79743))
% 163.96/163.65 [8102]~P107(f316(f316(f318(x81021),x81022),f316(f162(x81021),f166(x81021,x81023,x81024))))+P107(f316(f316(f318(x81021),x81022),f316(f162(x81021),x81023)))
% 163.96/163.65 [8103]~P107(f316(f316(f318(x81031),x81032),f316(f162(x81031),f160(x81031,x81034,x81033))))+P107(f316(f316(f318(x81031),x81032),f316(f162(x81031),x81033)))
% 163.96/163.65 [8104]~P107(f316(f316(f318(x81041),x81042),f316(f162(x81041),f167(x81041,x81044,x81043))))+P107(f316(f316(f318(x81041),x81042),f316(f162(x81041),x81043)))
% 163.96/163.65 [8114]E(f316(f179(f899(x81141)),x81142),x81143)+~P107(f316(f316(f318(f899(x81141)),x81142),f316(f162(f899(x81141)),f48(x81141,x81143,x81144))))
% 163.96/163.65 [8209]P107(f316(x82093,x82092))+E(f316(f126(x82091,f316(f316(f8(a895,a895,x82091),a311),f316(a313,x82092))),f316(f126(x82091,x82093),x82094)),f316(f126(x82091,x82093),x82094))
% 163.96/163.65 [8320]E(f316(f316(f154(x83201),f167(x83201,x83202,x83203)),x83204),f316(f316(f154(x83201),x83203),x83204))+~P107(f316(f316(f225(a898),x83204),f316(f179(f899(x83201)),f167(x83201,x83202,x83203))))
% 163.96/163.65 [8407]~P76(x84071)+E(f316(f316(f6(a898,x84071),f316(f316(f8(a898,x84071,a898),x84072),a102)),f316(f291(a898,x84073),x84074)),f316(f316(f6(a898,x84071),x84072),f316(f291(a898,f316(a102,x84073)),f316(a102,x84074))))
% 163.96/163.65 [8416]~P76(x84161)+E(f316(f316(f6(a898,x84161),f316(f316(f8(a898,x84161,a898),x84162),a102)),f292(a898,x84163,x84164)),f316(f316(f6(a898,x84161),x84162),f292(a898,f316(a102,x84163),f316(a102,x84164))))
% 163.96/163.65 [8544]~P22(x85441,x85443,x85444,f231(f905(x85441,a895)))+P22(x85441,f905(x85442,x85443),f316(f316(f8(x85443,f905(x85442,x85443),x85441),f16(x85443,x85442)),x85444),f231(f905(x85441,a895)))
% 163.96/163.65 [8628]~P22(x86282,x86281,x86284,x86283)+E(f316(f299(x86281,x86282,f71(x86282,x86281,x86283,x86284)),f316(f299(x86282,x86281,x86284),x86283)),x86283)
% 163.96/163.65 [8690]~P107(f316(f316(f318(f904(x86901,x86901)),f316(f316(f241(x86901,x86901),x86902),x86904)),f252(x86901,x86903)))+P107(f316(f316(f318(x86901),x86902),x86903))
% 163.96/163.65 [8816]~P22(x88162,x88161,x88163,f231(f905(x88162,a895)))+E(f316(f299(x88161,x88162,f85(x88162,x88161,f231(f905(x88162,a895)),x88163)),f316(f299(x88162,x88161,x88163),x88164)),x88164)
% 163.96/163.65 [8891]~P23(x88911,x88912,x88913,x88914,f231(f905(x88912,a895)))+E(f316(f299(x88911,x88912,x88913),f231(f905(x88911,a895))),f231(f905(x88912,a895)))
% 163.96/163.65 [8924]~E(f316(f316(f6(x89241,a898),x89244),x89243),f316(a102,x89242))+P107(f316(f316(f318(x89241),f578(x89242,x89243,x89244,x89241)),x89243))
% 163.96/163.65 [8945]~E(f316(f316(f6(x89454,a898),x89451),x89453),f316(a102,x89452))+P107(f316(f316(f225(a898),f2(a898)),f316(x89451,f578(x89452,x89453,x89451,x89454))))
% 163.96/163.65 [8956]~P107(f316(f54(x89562),x89564))+P107(f316(f316(f224(a898),f316(f28(x89561),f316(f299(x89562,x89561,x89563),x89564))),f316(f28(x89562),x89564)))
% 163.96/163.65 [8957]E(f316(f316(f241(x89571,x89572),f787(x89573,x89574,x89572,x89571)),f776(x89573,x89574,x89572,x89571)),x89574)+~P107(f316(f316(f318(f904(x89571,x89572)),x89574),f316(f275(x89572,x89571),x89573)))
% 163.96/163.65 [8965]P22(x89651,x89652,x89653,x89654)+P107(f316(f316(f318(x89651),f854(x89654,x89653,x89652,x89651)),x89654))
% 163.96/163.65 [8966]P22(x89661,x89662,x89663,x89664)+P107(f316(f316(f318(x89661),f855(x89664,x89663,x89662,x89661)),x89664))
% 163.96/163.65 [9034]P8(x90341,x90342,x90343,x90344)+P107(f316(f316(f318(f904(x90341,x90341)),f574(x90344,x90343,x90342,x90341)),x90343))
% 163.96/163.65 [9092]P107(f316(x90921,x90922))+~P107(f316(x90921,f316(f316(f241(x90923,x90924),f361(x90924,x90923,x90921)),f362(x90924,x90923,x90921))))
% 163.96/163.65 [9109]E(f316(f179(f899(x91091)),x91092),f316(f179(f899(x91091)),x91093))+~P107(f316(f316(f318(f904(f899(x91091),f899(x91091))),f316(f316(f241(f899(x91091),f899(x91091)),x91092),x91093)),f135(x91091,x91094)))
% 163.96/163.65 [9110]E(f316(f179(f899(x91101)),x91102),f316(f179(f899(x91101)),x91103))+~P107(f316(f316(f318(f904(f899(x91101),f899(x91101))),f316(f316(f241(f899(x91101),f899(x91101)),x91102),x91103)),f147(x91101,x91104)))
% 163.96/163.65 [9113]E(f316(f179(f899(x91131)),x91132),f316(f179(f899(x91131)),x91133))+~P107(f316(f316(f318(f904(f899(x91131),f899(x91131))),f316(f316(f241(f899(x91131),f899(x91131)),x91132),x91133)),f148(x91131,x91134)))
% 163.96/163.65 [9182]P107(f316(f316(f224(a898),f145(x91821,x91822,x91823)),f145(x91821,x91824,x91823)))+P107(f316(f316(f318(x91821),f660(x91824,x91822,x91823,x91821)),f316(f162(x91821),x91823)))
% 163.96/163.65 [9185]E(f316(f179(f899(x91851)),x91852),f316(f179(f899(x91851)),x91853))+~P107(f316(f316(f318(f904(f899(x91851),f899(x91851))),f316(f316(f241(f899(x91851),f899(x91851)),x91852),x91853)),f296(f899(x91851),f147(x91851,x91854))))
% 163.96/163.65 [9303]P107(f316(f316(f276(a898),x93031),x93032))+P107(f316(f316(f224(f905(a898,a895)),f279(a898,f276(a898),x93031,x93032)),f279(a898,f276(a898),x93033,x93034)))
% 163.96/163.65 [9423]~P22(x94231,x94232,x94233,x94234)+~P107(f316(f316(f225(a898),f316(f28(x94232),f316(f299(x94231,x94232,x94233),x94234))),f316(f28(x94231),x94234)))
% 163.96/163.65 [9470]~P107(f316(f316(f318(f904(f899(x94701),f899(x94701))),f316(f316(f241(f899(x94701),f899(x94701)),x94702),x94703)),f147(x94701,x94704)))+P107(f316(f316(f318(f904(f899(x94701),f899(x94701))),f316(f316(f241(f899(x94701),f899(x94701)),x94702),x94703)),f148(x94701,f296(x94701,x94704))))
% 163.96/163.65 [9474]~P107(f316(f316(f318(f904(f899(x94741),f899(x94741))),f316(f316(f241(f899(x94741),f899(x94741)),x94742),x94743)),f148(x94741,x94744)))+P107(f316(f316(f318(f904(f899(x94741),f899(x94741))),f316(f316(f241(f899(x94741),f899(x94741)),x94742),x94743)),f296(f899(x94741),f147(x94741,x94744))))
% 163.96/163.65 [9490]P107(f316(f316(f318(f904(x94901,x94901)),f316(f316(f241(x94901,x94901),x94902),x94903)),f296(x94901,x94904)))+~P107(f316(f316(f318(f904(x94901,x94901)),f316(f316(f241(x94901,x94901),x94902),x94903)),f316(f316(f278(x94901,x94901,x94901),x94904),f296(x94901,x94904))))
% 163.96/163.65 [9562]P107(f316(f316(f276(a898),x95621),x95622))+~P107(f316(f316(f225(f905(a898,a895)),f279(a898,f276(a898),x95623,x95624)),f279(a898,f276(a898),x95621,x95622)))
% 163.96/163.65 [9684]E(f316(f316(f124(x96841),f677(x96842,x96843,x96844,x96841)),f316(f316(f141(x96841),f678(x96842,x96843,x96844,x96841)),f680(x96842,x96843,x96844,x96841))),x96844)+~P107(f316(f316(f318(f904(f899(x96841),f899(x96841))),f316(f316(f241(f899(x96841),f899(x96841)),x96844),x96843)),f147(x96841,x96842)))
% 163.96/163.65 [9685]E(f316(f316(f124(x96851),f677(x96852,x96853,x96854,x96851)),f316(f316(f141(x96851),f679(x96852,x96853,x96854,x96851)),f680(x96852,x96853,x96854,x96851))),x96853)+~P107(f316(f316(f318(f904(f899(x96851),f899(x96851))),f316(f316(f241(f899(x96851),f899(x96851)),x96854),x96853)),f147(x96851,x96852)))
% 163.96/163.65 [9763]P107(f316(f316(f318(f904(x97631,x97631)),f316(f316(f241(x97631,x97631),x97632),f621(x97633,x97634,x97632,x97631))),f296(x97631,x97633)))+~P107(f316(f316(f318(f904(x97631,x97631)),f316(f316(f241(x97631,x97631),x97632),x97634)),f316(f316(f278(x97631,x97631,x97631),x97633),f296(x97631,x97633))))
% 163.96/163.65 [9832]P107(f316(f316(f224(a898),f145(x98321,x98322,x98323)),f145(x98321,x98324,x98323)))+~P107(f316(f316(f225(a898),f316(x98322,f660(x98324,x98322,x98323,x98321))),f316(x98324,f660(x98324,x98322,x98323,x98321))))
% 163.96/163.65 [9905]P107(f316(f316(f318(f904(x99051,x99051)),f316(f316(f241(x99051,x99051),f615(x99052,x99053,x99054,x99051)),x99053)),f296(x99051,x99052)))+~P107(f316(f316(f318(f904(x99051,x99051)),f316(f316(f241(x99051,x99051),x99054),x99053)),f316(f316(f278(x99051,x99051,x99051),x99052),f296(x99051,x99052))))
% 163.96/163.65 [5298]~E(x52982,x52983)+E(f160(x52981,x52982,f316(f316(f141(x52981),x52983),x52984)),x52984)
% 163.96/163.65 [5422]P107(f316(x54222,x54223))+E(f167(x54221,x54222,f316(f316(f141(x54221),x54223),x54224)),f103(x54221))
% 163.96/163.65 [5490]~P86(x54902)+E(f316(f316(f73(f905(x54901,x54902)),x54903),x54904),f316(f73(x54902),f316(x54903,x54904)))
% 163.96/163.65 [5503]~E(x55032,f2(a898))+E(f316(f316(f128(x55031),x55032),f316(f316(f141(x55031),x55033),x55034)),f316(f316(f141(x55031),x55033),x55034))
% 163.96/163.65 [5504]P107(f316(x55042,x55043))+E(f316(f126(x55041,x55042),f316(f316(f141(x55041),x55043),x55044)),f316(f126(x55041,x55042),x55044))
% 163.96/163.65 [5643]~E(x56432,x56434)+P107(f316(f316(f316(f298(x56431),x56432),x56433),x56434))
% 163.96/163.65 [5651]E(x56511,f103(x56512))+E(f134(x56513,f316(f316(f144(x56512,x56513),x56514),x56511)),f316(x56514,f134(x56512,x56511)))
% 163.96/163.65 [5665]~E(x56651,f56(x56652,x56654))+E(f316(x56651,f316(f316(f298(x56652),x56653),f178(f905(x56652,a895)))),x56653)
% 163.96/163.65 [5701]E(x57011,f103(x57012))+E(f316(f131(x57013),f316(f316(f144(x57012,x57013),x57014),x57011)),f316(x57014,f316(f131(x57012),x57011)))
% 163.96/163.65 [5804]~P107(f316(x58043,x58044))+P107(f316(f316(f316(f298(x58041),x58042),x58043),x58044))
% 163.96/163.65 [5933]~P15(x59332,x59334,x59331)+E(f316(x59331,f316(f316(f298(x59332),x59333),f178(f905(x59332,a895)))),x59333)
% 163.96/163.65 [5959]~E(x59592,x59593)+P107(f316(f316(f318(x59591),x59592),f316(f316(f298(x59591),x59593),x59594)))
% 163.96/163.65 [5965]~P83(x59651)+E(f316(f316(f100(x59651),x59652),f316(f316(f100(x59651),x59653),x59654)),f316(f316(f100(x59651),x59653),f316(f316(f100(x59651),x59652),x59654)))
% 163.96/163.65 [5966]~P84(x59661)+E(f316(f316(f100(x59661),x59662),f316(f316(f100(x59661),x59663),x59664)),f316(f316(f100(x59661),x59663),f316(f316(f100(x59661),x59662),x59664)))
% 163.96/163.65 [5967]~P84(x59671)+E(f316(f316(f91(x59671),x59672),f316(f316(f91(x59671),x59673),x59674)),f316(f316(f91(x59671),x59673),f316(f316(f91(x59671),x59672),x59674)))
% 163.96/163.65 [5969]~P103(x59691)+E(f316(f316(f91(x59691),x59692),f316(f316(f91(x59691),x59693),x59694)),f316(f316(f91(x59691),x59693),f316(f316(f91(x59691),x59692),x59694)))
% 163.96/163.65 [5970]~P117(x59701)+E(f316(f316(f75(x59701),x59702),f316(f316(f75(x59701),x59703),x59704)),f316(f316(f75(x59701),x59703),f316(f316(f75(x59701),x59702),x59704)))
% 163.96/163.65 [5971]~P117(x59711)+E(f316(f316(f74(x59711),x59712),f316(f316(f74(x59711),x59713),x59714)),f316(f316(f74(x59711),x59713),f316(f316(f74(x59711),x59712),x59714)))
% 163.96/163.65 [5973]~P108(x59731)+E(f316(f316(f222(x59731),x59732),f316(f316(f222(x59731),x59733),x59734)),f316(f316(f222(x59731),x59733),f316(f316(f222(x59731),x59732),x59734)))
% 163.96/163.65 [5975]~P108(x59751)+E(f316(f316(f223(x59751),x59752),f316(f316(f223(x59751),x59753),x59754)),f316(f316(f223(x59751),x59753),f316(f316(f223(x59751),x59752),x59754)))
% 163.96/163.65 [5982]E(x59821,x59822)+E(f160(x59823,x59821,f316(f316(f141(x59823),x59822),x59824)),f316(f316(f141(x59823),x59822),f160(x59823,x59821,x59824)))
% 163.96/163.65 [5996]~P107(f316(x59962,x59963))+E(f316(f126(x59961,x59962),f316(f316(f141(x59961),x59963),x59964)),f316(f316(f141(x59961),x59963),f316(f126(x59961,x59962),x59964)))
% 163.96/163.65 [6135]~P107(f316(x61352,x61353))+E(f167(x61351,x61352,f316(f316(f141(x61351),x61353),x61354)),f316(f316(f141(x61351),x61353),f167(x61351,x61352,x61354)))
% 163.96/163.65 [6184]P21(x61841,x61842,x61843)+~P21(x61841,x61842,f316(f316(f298(f897(x61841)),x61844),x61843))
% 163.96/163.65 [6200]E(x62001,f178(f905(x62002,a895)))+E(f316(f316(f32(x62002,f905(x62003,a895)),x62001),f316(f16(f905(x62003,a895),x62002),x62004)),x62004)
% 163.96/163.65 [6201]E(x62011,f178(f905(x62012,a895)))+E(f316(f316(f33(x62012,f905(x62013,a895)),x62011),f316(f16(f905(x62013,a895),x62012),x62014)),x62014)
% 163.96/163.65 [6210]~E(x62104,f178(f905(x62102,a895)))+E(f316(f316(f243(x62101,x62102),x62103),f316(f16(f905(x62102,a895),x62101),x62104)),f178(f905(f904(x62101,x62102),a895)))
% 163.96/163.65 [6211]~E(x62113,f178(f905(x62111,a895)))+E(f316(f316(f243(x62111,x62112),x62113),f316(f16(f905(x62112,a895),x62111),x62114)),f178(f905(f904(x62111,x62112),a895)))
% 163.96/163.65 [6267]E(x62671,f2(a898))+E(f316(f316(f128(x62672),x62671),f316(f316(f141(x62672),x62673),x62674)),f316(f316(f128(x62672),f316(f316(f23(a898),x62671),f72(a898))),x62674))
% 163.96/163.65 [6288]E(x62881,f178(f905(x62882,a895)))+E(f316(f299(x62882,x62883,f316(f16(x62883,x62882),x62884)),x62881),f316(f316(f298(x62883),x62884),f178(f905(x62883,a895))))
% 163.96/163.65 [6291]E(f316(f300(x62911,x62912,f316(f16(x62912,x62911),x62913)),x62914),f178(f905(x62911,a895)))+P107(f316(f316(f318(x62912),x62913),x62914))
% 163.96/163.65 [6357]~E(x63573,f178(f905(x63571,a895)))+E(f316(f316(f32(x63571,f905(x63572,a895)),x63573),f316(f16(f905(x63572,a895),x63571),x63574)),f231(f905(x63572,a895)))
% 163.96/163.65 [6358]~E(x63583,f178(f905(x63581,a895)))+E(f316(f316(f33(x63581,f905(x63582,a895)),x63583),f316(f16(f905(x63582,a895),x63581),x63584)),f178(f905(x63582,a895)))
% 163.96/163.65 [6360]~P62(x63601)+E(f38(x63601,f316(f316(f75(x63601),x63602),x63603),f316(f316(f75(x63601),x63602),x63604)),f316(f316(f75(x63601),x63602),f38(x63601,x63603,x63604)))
% 163.96/163.65 [6534]E(f316(f300(x65341,x65342,f316(f16(x65342,x65341),x65343)),x65344),f231(f905(x65341,a895)))+~P107(f316(f316(f318(x65342),x65343),x65344))
% 163.96/163.65 [6557]~P107(f316(f316(f318(x65571),x65572),x65574))+P107(f316(f316(f318(x65571),x65572),f316(f316(f298(x65571),x65573),x65574)))
% 163.96/163.65 [6562]P107(f316(x65621,x65622))+~P107(f316(f150(x65623,x65621),f316(f316(f141(x65623),x65622),x65624)))
% 163.96/163.65 [6571]~E(x65713,f316(f316(f23(a898),f316(f179(f899(x65711)),x65712)),f72(a898)))+E(f104(x65711,f316(f316(f149(x65711,x65712),x65713),x65714)),f104(x65711,x65712))
% 163.96/163.65 [6593]~P108(x65931)+E(f316(f316(f91(f905(x65931,a895)),f316(f290(x65931),x65932)),f292(x65931,x65933,x65934)),f292(x65931,x65933,f316(f316(f222(x65931),x65932),x65934)))
% 163.96/163.65 [6594]~P108(x65941)+E(f316(f316(f91(f905(x65941,a895)),f316(f272(x65941),x65942)),f292(x65941,x65943,x65944)),f292(x65941,f316(f316(f223(x65941),x65942),x65943),x65944))
% 163.96/163.65 [6610]E(f316(f316(f91(f905(x66101,a895)),x66102),f316(f316(f298(x66101),x66103),x66104)),f316(f316(f91(f905(x66101,a895)),x66102),x66104))+P107(f316(f316(f318(x66101),x66103),x66102))
% 163.96/163.65 [6622]E(f160(x66221,x66222,f316(f316(f124(x66221),x66223),x66224)),f316(f316(f124(x66221),x66223),f160(x66221,x66222,x66224)))+P107(f316(f316(f318(x66221),x66222),f316(f162(x66221),x66223)))
% 163.96/163.65 [6627]~P81(x66271)+E(f316(f316(f75(x66271),f316(f316(f233(x66271),x66272),x66273)),f316(f316(f233(x66271),x66272),x66274)),f316(f316(f233(x66271),x66272),f316(f316(f74(a898),x66273),x66274)))
% 163.96/163.65 [6628]~P117(x66281)+E(f316(f316(f75(x66281),f316(f316(f233(x66281),x66282),x66283)),f316(f316(f233(x66281),x66282),x66284)),f316(f316(f233(x66281),x66282),f316(f316(f74(a898),x66283),x66284)))
% 163.96/163.65 [6665]~P102(x66651)+E(f316(f316(f91(x66651),f316(f316(f100(x66651),x66652),x66653)),f316(f316(f100(x66651),x66652),x66654)),f316(f316(f100(x66651),x66652),f316(f316(f91(x66651),x66653),x66654)))
% 163.96/163.65 [6666]~P102(x66661)+E(f316(f316(f100(x66661),f316(f316(f91(x66661),x66662),x66663)),f316(f316(f91(x66661),x66662),x66664)),f316(f316(f91(x66661),x66662),f316(f316(f100(x66661),x66663),x66664)))
% 163.96/163.65 [6667]~P117(x66671)+E(f316(f316(f74(x66671),f316(f316(f75(x66671),x66672),x66673)),f316(f316(f75(x66671),x66672),x66674)),f316(f316(f75(x66671),x66672),f316(f316(f74(x66671),x66673),x66674)))
% 163.96/163.65 [6668]~P108(x66681)+E(f316(f316(f223(x66681),f316(f316(f222(x66681),x66682),x66683)),f316(f316(f222(x66681),x66682),x66684)),f316(f316(f222(x66681),x66682),f316(f316(f223(x66681),x66683),x66684)))
% 163.96/163.65 [6669]~P108(x66691)+E(f316(f316(f222(x66691),f316(f316(f223(x66691),x66692),x66693)),f316(f316(f223(x66691),x66692),x66694)),f316(f316(f223(x66691),x66692),f316(f316(f222(x66691),x66693),x66694)))
% 163.96/163.65 [6703]~P62(x67031)+E(f38(x67031,f316(f316(f75(x67031),x67032),x67033),f316(f316(f75(x67031),x67034),x67033)),f316(f316(f75(x67031),f38(x67031,x67032,x67034)),x67033))
% 163.96/163.65 [6706]~E(f316(f179(f899(x67061)),x67063),f316(f179(f899(x67062)),x67064))+E(f316(f316(f144(f904(x67061,x67062),x67062),f245(x67061,x67062)),f316(f316(f171(x67061,x67062),x67063),x67064)),x67064)
% 163.96/163.65 [6707]~E(f316(f179(f899(x67071)),x67073),f316(f179(f899(x67072)),x67074))+E(f316(f316(f144(f904(x67071,x67072),x67071),f240(x67071,x67072)),f316(f316(f171(x67071,x67072),x67073),x67074)),x67073)
% 163.96/163.65 [6712]P107(f316(f150(x67121,x67122),x67123))+~P107(f316(f150(x67121,x67122),f316(f316(f141(x67121),x67124),x67123)))
% 163.96/163.65 [6713]P107(f316(f150(x67131,x67132),x67133))+~P107(f316(f150(x67131,x67132),f316(f316(f124(x67131),x67134),x67133)))
% 163.96/163.65 [6714]P107(f316(f150(x67141,x67142),x67143))+~P107(f316(f150(x67141,x67142),f316(f316(f124(x67141),x67143),x67144)))
% 163.96/163.65 [6719]~P63(x67191)+E(f38(x67191,f316(f316(f23(x67191),x67192),f38(x67191,x67193,x67194)),x67194),f38(x67191,f316(f316(f23(x67191),x67192),x67193),x67194))
% 163.96/163.65 [6720]~P62(x67201)+E(f38(x67201,f316(f316(f75(x67201),x67202),f38(x67201,x67203,x67204)),x67204),f38(x67201,f316(f316(f75(x67201),x67202),x67203),x67204))
% 163.96/163.65 [6722]~P62(x67221)+E(f38(x67221,f316(f316(f74(x67221),x67222),f38(x67221,x67223,x67224)),x67224),f38(x67221,f316(f316(f74(x67221),x67222),x67223),x67224))
% 163.96/163.65 [6804]~P108(x68041)+E(f316(f316(f91(f905(x68041,a895)),f292(x68041,x68042,x68043)),f316(f290(x68041),x68044)),f292(x68041,x68042,f316(f316(f222(x68041),x68043),x68044)))
% 163.96/163.65 [6805]~P108(x68051)+E(f316(f316(f91(f905(x68051,a895)),f292(x68051,x68052,x68053)),f316(f272(x68051),x68054)),f292(x68051,f316(f316(f223(x68051),x68052),x68054),x68053))
% 163.96/163.65 [6808]~E(f316(f179(f899(x68081)),x68083),f316(f179(f899(x68082)),x68084))+E(f316(f316(f171(x68081,x68082),f316(f158(x68081),x68083)),f316(f158(x68082),x68084)),f316(f158(f904(x68081,x68082)),f316(f316(f171(x68081,x68082),x68083),x68084)))
% 163.96/163.65 [6820]E(x68201,f316(f316(f23(a898),f316(f179(f899(x68202)),x68203)),f72(a898)))+E(f104(x68202,f316(f316(f149(x68202,x68203),x68201),x68204)),f316(f316(f149(x68202,f104(x68202,x68203)),x68201),x68204))
% 163.96/163.65 [6835]~P107(f316(f127(x68352),x68354))+P107(f316(f127(f904(x68351,x68352)),f316(f316(f171(x68351,x68352),x68353),x68354)))
% 163.96/163.65 [6836]~P107(f316(f127(x68361),x68363))+P107(f316(f127(f904(x68361,x68362)),f316(f316(f171(x68361,x68362),x68363),x68364)))
% 163.96/163.65 [7104]E(f316(f316(f29(a898),x71041),x71042),x71043)+~P107(f316(f41(x71041,x71042),f316(f316(f241(a898,a898),x71043),x71044)))
% 163.96/163.65 [7128]E(f38(a898,x71281,x71282),x71283)+~P107(f316(f41(x71281,x71282),f316(f316(f241(a898,a898),x71284),x71283)))
% 163.96/163.65 [7131]P107(f316(f127(x71311),x71312))+~P107(f316(f127(x71313),f316(f316(f144(x71311,x71313),x71314),x71312)))
% 163.96/163.65 [7139]~P21(x71391,x71392,f316(f316(f298(f897(x71391)),x71393),x71394))+P21(x71391,x71392,f316(f316(f298(f897(x71391)),x71393),f178(f905(f897(x71391),a895))))
% 163.96/163.65 [7215]E(f160(x72151,x72152,f316(f316(f124(x72151),x72153),x72154)),f316(f316(f124(x72151),f160(x72151,x72152,x72153)),x72154))+~P107(f316(f316(f318(x72151),x72152),f316(f162(x72151),x72153)))
% 163.96/163.65 [7308]~P63(x73081)+E(f38(x73081,f316(f316(f23(x73081),f38(x73081,x73082,x73083)),x73084),x73083),f38(x73081,f316(f316(f23(x73081),x73082),x73084),x73083))
% 163.96/163.65 [7311]~P62(x73111)+E(f38(x73111,f316(f316(f75(x73111),f38(x73111,x73112,x73113)),x73114),x73113),f38(x73111,f316(f316(f75(x73111),x73112),x73114),x73113))
% 163.96/163.65 [7312]~P62(x73121)+E(f38(x73121,f316(f316(f74(x73121),f38(x73121,x73122,x73123)),x73124),x73123),f38(x73121,f316(f316(f74(x73121),x73122),x73124),x73123))
% 163.96/163.65 [7507]~E(x75071,f316(f316(f141(x75072),x75073),x75074))+~P107(f316(f316(f224(a898),f316(f179(f899(x75072)),x75071)),f316(f179(f899(x75072)),x75074)))
% 163.96/163.65 [7710]P22(x77101,x77102,x77103,f316(f162(x77101),x77104))+~P107(f316(f127(x77102),f316(f316(f144(x77101,x77102),x77103),x77104)))
% 163.96/163.65 [7785]~P107(f316(f316(f224(f905(x77851,a895)),x77852),x77854))+P107(f316(f316(f224(f905(x77851,a895)),x77852),f316(f316(f298(x77851),x77853),x77854)))
% 163.96/163.65 [7821]~P63(x78211)+E(f38(x78211,f316(f316(f23(x78211),f38(x78211,x78212,x78213)),f38(x78211,x78214,x78213)),x78213),f38(x78211,f316(f316(f23(x78211),x78212),x78214),x78213))
% 163.96/163.65 [7822]~P62(x78221)+E(f38(x78221,f316(f316(f75(x78221),f38(x78221,x78222,x78223)),f38(x78221,x78224,x78223)),x78223),f38(x78221,f316(f316(f75(x78221),x78222),x78224),x78223))
% 163.96/163.65 [7823]~P62(x78231)+E(f38(x78231,f316(f316(f74(x78231),f38(x78231,x78232,x78233)),f38(x78231,x78234,x78233)),x78233),f38(x78231,f316(f316(f74(x78231),x78232),x78234),x78233))
% 163.96/163.65 [7927]~E(f316(x79274,f654(x79274,x79273,x79271,x79272)),f178(f905(x79272,a895)))+E(f316(f316(f33(x79271,f905(x79272,a895)),x79273),x79274),f178(f905(x79272,a895)))
% 163.96/163.65 [7928]~E(f316(x79284,f602(x79284,x79283,x79281,x79282)),f231(f905(x79282,a895)))+E(f316(f316(f32(x79281,f905(x79282,a895)),x79283),x79284),f231(f905(x79282,a895)))
% 163.96/163.65 [7929]~E(f316(x79294,f611(x79294,x79293,x79292,x79291)),f231(f905(x79292,a895)))+E(f316(f316(f32(x79291,f905(x79292,a895)),x79293),x79294),f231(f905(x79292,a895)))
% 163.96/163.65 [7930]~E(f316(x79304,f533(x79304,x79303,x79302,x79301)),f178(f905(x79302,a895)))+E(f316(f316(f33(x79301,f905(x79302,a895)),x79303),x79304),f178(f905(x79302,a895)))
% 163.96/163.65 [8321]P107(f316(x83211,x83212))+~P107(f316(f316(f318(x83213),x83212),f316(f316(f91(f905(x83213,a895)),x83214),f316(f251(x83213),x83211))))
% 163.96/163.65 [8358]~P107(f316(f316(f224(f905(x83581,a895)),x83583),x83584))+P107(f316(f316(f224(f905(x83581,a895)),f316(f316(f298(x83581),x83582),x83583)),f316(f316(f298(x83581),x83582),x83584)))
% 163.96/163.65 [8537]P107(f316(x85372,x85373))+E(f316(f316(f128(x85371),f316(f179(f899(x85371)),f167(x85371,x85372,f316(f316(f141(x85371),x85373),x85374)))),f316(f316(f141(x85371),x85373),x85374)),f316(f316(f141(x85371),x85373),x85374))
% 163.96/163.65 [8642]~P107(f316(f316(f225(a898),f316(x86424,x86422)),f316(x86424,x86423)))+P107(f316(f316(f318(f904(x86421,x86421)),f316(f316(f241(x86421,x86421),x86422),x86423)),f316(f316(f277(a898,x86421),a229),x86424)))
% 163.96/163.65 [8741]~P107(f316(x87412,f732(x87414,x87412,x87413,x87411)))+E(f167(x87411,x87412,f316(f316(f124(x87411),x87413),x87414)),f316(f316(f124(x87411),x87413),f167(x87411,x87412,x87414)))
% 163.96/163.65 [8820]P22(f899(x88201),f899(x88202),f316(f144(x88201,x88202),x88203),x88204)+~P22(x88201,x88202,x88203,f30(f905(x88201,a895),f316(f299(f899(x88201),f905(x88201,a895),f162(x88201)),x88204)))
% 163.96/163.65 [8895]~P107(f316(x88952,x88953))+E(f316(f316(f128(x88951),f316(f179(f899(x88951)),f167(x88951,x88952,f316(f316(f141(x88951),x88953),x88954)))),f316(f316(f141(x88951),x88953),x88954)),f316(f316(f128(x88951),f316(f179(f899(x88951)),f167(x88951,x88952,x88954))),x88954))
% 163.96/163.65 [8936]~E(x89362,x89363)+E(f316(f126(x89361,f316(f316(f8(a895,a895,x89361),a311),f316(a313,x89362))),f316(f316(f141(x89361),x89363),x89364)),f316(f126(x89361,f316(f316(f8(a895,a895,x89361),a311),f316(a313,x89362))),x89364))
% 163.96/163.65 [8946]E(f316(f316(f33(x89461,f905(x89462,a895)),x89463),x89464),f178(f905(x89462,a895)))+P107(f316(f316(f318(x89461),f654(x89464,x89463,x89461,x89462)),x89463))
% 163.96/163.65 [8947]E(f316(f316(f32(x89471,f905(x89472,a895)),x89473),x89474),f231(f905(x89472,a895)))+P107(f316(f316(f318(x89471),f602(x89474,x89473,x89471,x89472)),x89473))
% 163.96/163.65 [8948]E(f316(f316(f32(x89481,f905(x89482,a895)),x89483),x89484),f231(f905(x89482,a895)))+P107(f316(f316(f318(x89481),f611(x89484,x89483,x89482,x89481)),x89483))
% 163.96/163.65 [8949]E(f316(f316(f33(x89491,f905(x89492,a895)),x89493),x89494),f178(f905(x89492,a895)))+P107(f316(f316(f318(x89491),f533(x89494,x89493,x89492,x89491)),x89493))
% 163.96/163.65 [8987]P107(f316(f316(f225(a898),f316(x89871,x89872)),f316(x89871,x89873)))+~P107(f316(f316(f318(f904(x89874,x89874)),f316(f316(f241(x89874,x89874),x89872),x89873)),f316(f316(f277(a898,x89874),a229),x89871)))
% 163.96/163.65 [9013]E(f167(x90131,x90132,f316(f316(f124(x90131),x90133),x90134)),f316(f316(f124(x90131),x90133),f167(x90131,x90132,x90134)))+P107(f316(f316(f318(x90131),f732(x90134,x90132,x90133,x90131)),f316(f162(x90131),x90133)))
% 163.96/163.65 [9068]~P23(x90681,x90682,x90683,f231(f905(x90681,a895)),f231(f905(x90682,a895)))+E(f316(f299(x90681,x90682,x90683),f316(f73(f905(x90681,a895)),x90684)),f316(f73(f905(x90682,a895)),f316(f299(x90681,x90682,x90683),x90684)))
% 163.96/163.65 [9171]P107(f316(f316(f318(x91711),f848(x91712,x91713,x91714,x91711)),x91713))+~P107(f316(f316(f318(f905(x91711,a895)),x91714),f316(f316(f53(x91711),x91713),x91712)))
% 163.96/163.65 [9174]E(x91741,x91742)+~P107(f316(f316(f318(f904(x91743,x91743)),f316(f316(f241(x91743,x91743),x91741),x91742)),f316(f316(f173(f904(x91743,x91743),a895),f2(a898)),x91744)))
% 163.96/163.65 [9255]E(f316(f274(x92551,x92551,x92552),f316(f316(f298(x92551),f848(x92552,x92553,x92554,x92551)),f178(f905(x92551,a895)))),x92554)+~P107(f316(f316(f318(f905(x92551,a895)),x92554),f316(f316(f53(x92551),x92553),x92552)))
% 163.96/163.65 [9260]~P107(f316(f316(f318(f904(x92601,x92601)),f316(f316(f241(x92601,x92601),x92603),x92602)),f296(x92601,x92604)))+P107(f316(f316(f318(f904(x92601,x92601)),f316(f316(f241(x92601,x92601),x92602),x92603)),f296(x92601,f316(f275(x92601,x92601),x92604))))
% 163.96/163.65 [9273]~P62(x92731)+E(f316(f316(f74(x92731),f316(f316(f74(x92731),f316(f316(f75(x92731),x92732),f316(f316(f29(x92731),x92733),x92732))),f38(x92731,x92733,x92732))),x92734),f316(f316(f74(x92731),x92733),x92734))
% 163.96/163.65 [9284]~P107(f316(f316(f318(x92841),x92843),x92844))+P107(f316(f316(f318(f905(x92841,a895)),f316(f274(x92841,x92841,x92842),f316(f316(f298(x92841),x92843),f178(f905(x92841,a895))))),f316(f316(f53(x92841),x92844),x92842)))
% 163.96/163.65 [9296]P107(f316(f316(f318(f904(x92961,x92961)),f316(f316(f241(x92961,x92961),x92962),x92963)),f296(x92961,x92964)))+~P107(f316(f316(f318(f904(x92961,x92961)),f316(f316(f241(x92961,x92961),x92963),x92962)),f296(x92961,f316(f275(x92961,x92961),x92964))))
% 163.96/163.65 [9382]E(f316(f316(f149(x93821,f316(f158(x93821),x93822)),f316(f316(f23(a898),f316(f316(f23(a898),f316(f179(f899(x93821)),x93822)),x93823)),f72(a898))),x93824),f316(f158(x93821),f316(f316(f149(x93821,x93822),x93823),x93824)))+~P107(f316(f316(f225(a898),x93823),f316(f179(f899(x93821)),x93822)))
% 163.96/163.65 [9385]~P107(f316(x93852,f727(x93854,x93852,x93853,x93851)))+E(f316(f316(f128(x93851),f316(f179(f899(x93851)),f167(x93851,x93852,f316(f316(f124(x93851),x93853),x93854)))),f316(f316(f124(x93851),x93853),x93854)),f316(f316(f128(x93851),f316(f179(f899(x93851)),f167(x93851,x93852,x93854))),x93854))
% 163.96/163.65 [9431]~P22(x94312,x94311,x94313,f231(f905(x94312,a895)))+P107(f316(f316(f224(f905(x94311,a895)),f316(f299(x94312,x94311,x94313),f316(f73(f905(x94312,a895)),x94314))),f316(f73(f905(x94311,a895)),f316(f299(x94312,x94311,x94313),x94314))))
% 163.96/163.65 [9443]~P2(x94431)+E(f316(f132(x94431,x94432,f316(f7(x94432,x94431,x94431),f316(f316(f8(x94431,f905(x94431,x94431),x94432),f91(x94431)),x94433)),f231(x94431)),x94434),f316(f316(f32(x94432,x94431),f316(f162(x94432),x94434)),x94433))
% 163.96/163.65 [9444]~P2(x94441)+E(f316(f132(x94441,x94442,f316(f7(x94442,x94441,x94441),f316(f316(f8(x94441,f905(x94441,x94441),x94442),f100(x94441)),x94443)),f178(x94441)),x94444),f316(f316(f33(x94442,x94441),f316(f162(x94442),x94444)),x94443))
% 163.96/163.65 [9454]E(f316(f316(f128(x94541),f316(f179(f899(x94541)),f167(x94541,x94542,f316(f316(f124(x94541),x94543),x94544)))),f316(f316(f124(x94541),x94543),x94544)),f316(f316(f128(x94541),f316(f179(f899(x94541)),f167(x94541,x94542,x94544))),x94544))+P107(f316(f316(f318(x94541),f727(x94544,x94542,x94543,x94541)),f316(f162(x94541),x94543)))
% 163.96/163.65 [9524]~P107(f316(f316(f318(f904(f899(x95244),f899(x95244))),f316(f316(f241(f899(x95244),f899(x95244)),x95243),x95242)),f147(x95244,x95241)))+P107(f316(f316(f225(a898),f661(x95241,x95242,x95243,x95244)),f316(f179(f899(x95244)),x95243)))
% 163.96/163.65 [9525]~P62(x95251)+E(f316(f316(f74(x95251),f316(f316(f74(x95251),f316(f316(f75(x95251),f316(f316(f29(x95251),x95252),x95253)),x95253)),f38(x95251,x95252,x95253))),x95254),f316(f316(f74(x95251),x95252),x95254))
% 163.96/163.65 [9552]~P107(f316(f316(f318(f904(f899(x95521),f899(x95521))),f316(f316(f241(f899(x95521),f899(x95521)),x95522),x95523)),f316(f275(f899(x95521),f899(x95521)),f147(x95521,x95524))))+P107(f316(f316(f318(f904(f899(x95521),f899(x95521))),f316(f316(f241(f899(x95521),f899(x95521)),x95522),x95523)),f147(x95521,f316(f275(x95521,x95521),x95524))))
% 163.96/163.65 [9553]P107(f316(f316(f318(f904(f899(x95531),f899(x95531))),f316(f316(f241(f899(x95531),f899(x95531)),x95532),x95533)),f316(f275(f899(x95531),f899(x95531)),f147(x95531,x95534))))+~P107(f316(f316(f318(f904(f899(x95531),f899(x95531))),f316(f316(f241(f899(x95531),f899(x95531)),x95532),x95533)),f147(x95531,f316(f275(x95531,x95531),x95534))))
% 163.96/163.65 [9597]~P107(f316(f316(f318(x95971),x95973),f316(f253(x95971,x95972),x95974)))+P107(f316(f316(f318(f904(x95971,x95972)),f316(f316(f241(x95971,x95972),x95973),f878(x95974,x95972,x95973,x95971))),x95974))
% 163.96/163.65 [9598]~P107(f316(f316(f318(x95981),x95983),f316(f253(x95981,x95982),x95984)))+P107(f316(f316(f318(f904(x95981,x95982)),f316(f316(f241(x95981,x95982),x95983),f879(x95984,x95982,x95983,x95981))),x95984))
% 163.96/163.65 [9758]~P107(f316(f316(f318(f904(x97581,x97581)),f316(f316(f241(x97581,x97581),x97582),x97584)),f316(f316(f278(x97581,x97581,x97581),x97583),f296(x97581,x97583))))+P107(f316(f316(f318(f904(x97581,x97581)),f316(f316(f241(x97581,x97581),x97582),f615(x97583,x97584,x97582,x97581))),x97583))
% 163.96/163.65 [9919]P8(x99191,x99192,x99193,x99194)+P107(f316(f316(f318(f904(x99191,x99191)),f316(f316(f241(x99191,x99191),f328(x99192,x99194,x99193,x99191)),f327(x99192,x99194,x99193,x99191))),x99193))
% 163.96/163.65 [9926]~P107(f316(f316(f318(f904(x99262,x99261)),x99264),f316(f275(x99261,x99262),x99263)))+P107(f316(f316(f318(f904(x99261,x99262)),f316(f316(f241(x99261,x99262),f776(x99263,x99264,x99261,x99262)),f787(x99263,x99264,x99261,x99262))),x99263))
% 163.96/163.65 [9950]~P107(f316(f316(f318(f904(f899(x99501),f899(x99501))),f316(f316(f241(f899(x99501),f899(x99501)),x99504),x99503)),f147(x99501,x99502)))+P107(f316(f316(f318(f904(x99501,x99501)),f316(f316(f241(x99501,x99501),f678(x99502,x99503,x99504,x99501)),f679(x99502,x99503,x99504,x99501))),x99502))
% 163.96/163.65 [10041]~P107(f316(f316(f318(f904(f899(x100411),f899(x100411))),f316(f316(f241(f899(x100411),f899(x100411)),x100412),x100414)),f147(x100411,x100413)))+P107(f316(f316(f318(f904(x100411,x100411)),f316(f316(f241(x100411,x100411),f316(f316(f154(x100411),x100412),f661(x100413,x100414,x100412,x100411))),f662(x100413,x100414,x100412,x100411))),x100413))
% 163.96/163.65 [10061]~P107(f316(f54(x100612),x100614))+E(f316(f316(f316(f58(f905(x100611,a895),x100612,f100(f905(x100611,a895))),f316(f316(f7(x100612,f905(x100611,a895),f905(x100611,a895)),f316(f316(f8(x100611,f905(f905(x100611,a895),f905(x100611,a895)),x100612),f298(x100611)),x100613)),f178(f905(x100611,a895)))),f178(f905(x100611,a895))),x100614),f316(f299(x100612,x100611,x100613),x100614))
% 163.96/163.65 [10174]~P22(x101741,x101742,x101743,f231(f905(x101741,a895)))+P107(f316(f316(f224(f905(x101741,a895)),f316(f300(x101741,x101742,x101743),f316(f316(f298(x101742),x101744),f178(f905(x101742,a895))))),f316(f316(f298(x101741),f79(x101741,f316(f316(f7(x101741,x101742,a895),f316(f316(f8(x101742,f905(x101742,a895),x101741),a313),x101743)),x101744))),f178(f905(x101741,a895)))))
% 163.96/163.65 [5712]~E(f316(f316(f124(x57121),x57122),x57124),x57123)+E(f316(f316(f165(x57121),f316(f179(f899(x57121)),x57122)),x57123),x57122)
% 163.96/163.65 [5713]~E(f316(f316(f124(x57132),x57133),x57131),x57134)+E(x57131,f316(f316(f128(x57132),f316(f179(f899(x57132)),x57133)),x57134))
% 163.96/163.65 [5724]~E(x57244,f2(a898))+E(f316(f316(f154(x57241),f316(f316(f141(x57241),x57242),x57243)),x57244),x57242)
% 163.96/163.65 [6280]~P117(x62801)+E(f316(f316(f233(x62801),f316(f316(f233(x62801),x62802),x62803)),x62804),f316(f316(f233(x62801),x62802),f316(f316(f75(a898),x62803),x62804)))
% 163.96/163.65 [6281]~P81(x62811)+E(f316(f316(f233(x62811),f316(f316(f233(x62811),x62812),x62813)),x62814),f316(f316(f233(x62811),x62812),f316(f316(f75(a898),x62813),x62814)))
% 163.96/163.65 [6289]E(x62891,f2(a898))+E(f316(f316(f154(x62892),f316(f316(f141(x62892),x62893),x62894)),x62891),f316(f316(f154(x62892),x62894),f316(f316(f23(a898),x62891),f72(a898))))
% 163.96/163.65 [6315]~P120(x63151)+E(f316(f316(f280(x63151),f316(f316(f75(x63151),x63152),x63153)),x63154),f316(f316(f75(x63151),x63152),f316(f316(f280(x63151),x63153),x63154)))
% 163.96/163.65 [6318]~P83(x63181)+E(f316(f316(f100(x63181),f316(f316(f100(x63181),x63182),x63183)),x63184),f316(f316(f100(x63181),x63182),f316(f316(f100(x63181),x63183),x63184)))
% 163.96/163.65 [6319]~P84(x63191)+E(f316(f316(f100(x63191),f316(f316(f100(x63191),x63192),x63193)),x63194),f316(f316(f100(x63191),x63192),f316(f316(f100(x63191),x63193),x63194)))
% 163.96/163.65 [6320]~P84(x63201)+E(f316(f316(f91(x63201),f316(f316(f91(x63201),x63202),x63203)),x63204),f316(f316(f91(x63201),x63202),f316(f316(f91(x63201),x63203),x63204)))
% 163.96/163.65 [6322]~P103(x63221)+E(f316(f316(f91(x63221),f316(f316(f91(x63221),x63222),x63223)),x63224),f316(f316(f91(x63221),x63222),f316(f316(f91(x63221),x63223),x63224)))
% 163.96/163.65 [6323]~P69(x63231)+E(f316(f316(f75(x63231),f316(f316(f75(x63231),x63232),x63233)),x63234),f316(f316(f75(x63231),x63232),f316(f316(f75(x63231),x63233),x63234)))
% 163.96/163.65 [6324]~P117(x63241)+E(f316(f316(f75(x63241),f316(f316(f75(x63241),x63242),x63243)),x63244),f316(f316(f75(x63241),x63242),f316(f316(f75(x63241),x63243),x63244)))
% 163.96/163.65 [6326]~P117(x63261)+E(f316(f316(f74(x63261),f316(f316(f74(x63261),x63262),x63263)),x63264),f316(f316(f74(x63261),x63262),f316(f316(f74(x63261),x63263),x63264)))
% 163.96/163.65 [6327]~P70(x63271)+E(f316(f316(f74(x63271),f316(f316(f74(x63271),x63272),x63273)),x63274),f316(f316(f74(x63271),x63272),f316(f316(f74(x63271),x63273),x63274)))
% 163.96/163.65 [6329]~P108(x63291)+E(f316(f316(f222(x63291),f316(f316(f222(x63291),x63292),x63293)),x63294),f316(f316(f222(x63291),x63292),f316(f316(f222(x63291),x63293),x63294)))
% 163.96/163.65 [6331]~P108(x63311)+E(f316(f316(f223(x63311),f316(f316(f223(x63311),x63312),x63313)),x63314),f316(f316(f223(x63311),x63312),f316(f316(f223(x63311),x63313),x63314)))
% 163.96/163.65 [6340]~P62(x63401)+E(f38(x63401,f316(f316(f74(x63401),x63402),f316(f316(f75(x63401),x63403),x63404)),x63404),f38(x63401,x63402,x63404))
% 163.96/163.65 [6341]~P62(x63411)+E(f38(x63411,f316(f316(f74(x63411),x63412),f316(f316(f75(x63411),x63413),x63414)),x63413),f38(x63411,x63412,x63413))
% 163.96/163.65 [6481]E(f316(f316(f154(x64811),f316(f316(f165(x64811),x64812),x64813)),x64814),f316(f316(f154(x64811),x64813),x64814))+~P107(f316(f316(f225(a898),x64814),x64812))
% 163.96/163.65 [6661]~E(x66612,x66614)+P107(f316(f316(f162(x66611),f316(f316(f141(x66611),x66612),x66613)),x66614))
% 163.96/163.65 [6663]~P117(x66631)+E(f316(f316(f75(x66631),f316(f316(f75(x66631),x66632),x66633)),x66634),f316(f316(f75(x66631),f316(f316(f75(x66631),x66632),x66634)),x66633))
% 163.96/163.65 [6664]~P117(x66641)+E(f316(f316(f74(x66641),f316(f316(f74(x66641),x66642),x66643)),x66644),f316(f316(f74(x66641),f316(f316(f74(x66641),x66642),x66644)),x66643))
% 163.96/163.65 [6725]~P146(x67252)+E(f316(f316(f6(x67251,x67252),f316(f16(x67252,x67251),x67253)),x67254),f316(f316(f75(x67252),f316(f90(x67252),f316(f28(x67251),x67254))),x67253))
% 163.96/163.65 [6901]E(f316(f316(f91(f905(x69011,a895)),f316(f316(f298(x69011),x69012),x69013)),x69014),f316(f316(f91(f905(x69011,a895)),x69013),x69014))+P107(f316(f316(f318(x69011),x69012),x69014))
% 163.96/163.65 [6970]~P79(x69701)+E(f316(f316(f222(x69701),f316(f316(f23(x69701),x69702),x69703)),f316(f316(f23(x69701),x69704),x69703)),f316(f316(f23(x69701),f316(f316(f222(x69701),x69702),x69704)),x69703))
% 163.96/163.65 [6971]~P79(x69711)+E(f316(f316(f223(x69711),f316(f316(f23(x69711),x69712),x69713)),f316(f316(f23(x69711),x69714),x69713)),f316(f316(f23(x69711),f316(f316(f223(x69711),x69712),x69714)),x69713))
% 163.96/163.65 [6972]~P102(x69721)+E(f316(f316(f91(x69721),f316(f316(f100(x69721),x69722),x69723)),f316(f316(f100(x69721),x69724),x69723)),f316(f316(f100(x69721),f316(f316(f91(x69721),x69722),x69724)),x69723))
% 163.96/163.65 [6973]~P102(x69731)+E(f316(f316(f100(x69731),f316(f316(f91(x69731),x69732),x69733)),f316(f316(f91(x69731),x69734),x69733)),f316(f316(f91(x69731),f316(f316(f100(x69731),x69732),x69734)),x69733))
% 163.96/163.65 [6975]~P118(x69751)+E(f316(f316(f74(x69751),f316(f316(f75(x69751),x69752),x69753)),f316(f316(f75(x69751),x69754),x69753)),f316(f316(f75(x69751),f316(f316(f74(x69751),x69752),x69754)),x69753))
% 163.96/163.65 [6976]~P87(x69761)+E(f316(f316(f222(x69761),f316(f316(f74(x69761),x69762),x69763)),f316(f316(f74(x69761),x69764),x69763)),f316(f316(f74(x69761),f316(f316(f222(x69761),x69762),x69764)),x69763))
% 163.96/163.65 [6977]~P87(x69771)+E(f316(f316(f223(x69771),f316(f316(f74(x69771),x69772),x69773)),f316(f316(f74(x69771),x69774),x69773)),f316(f316(f74(x69771),f316(f316(f223(x69771),x69772),x69774)),x69773))
% 163.96/163.65 [6978]~P108(x69781)+E(f316(f316(f223(x69781),f316(f316(f222(x69781),x69782),x69783)),f316(f316(f222(x69781),x69784),x69783)),f316(f316(f222(x69781),f316(f316(f223(x69781),x69782),x69784)),x69783))
% 163.96/163.65 [6979]~P108(x69791)+E(f316(f316(f222(x69791),f316(f316(f223(x69791),x69792),x69793)),f316(f316(f223(x69791),x69794),x69793)),f316(f316(f223(x69791),f316(f316(f222(x69791),x69792),x69794)),x69793))
% 163.96/163.65 [6980]~P72(x69801)+E(f316(f316(f75(x69801),f316(f316(f233(x69801),x69802),x69803)),f316(f316(f233(x69801),x69804),x69803)),f316(f316(f233(x69801),f316(f316(f75(x69801),x69802),x69804)),x69803))
% 163.96/163.65 [6981]~P117(x69811)+E(f316(f316(f75(x69811),f316(f316(f233(x69811),x69812),x69813)),f316(f316(f233(x69811),x69814),x69813)),f316(f316(f233(x69811),f316(f316(f75(x69811),x69812),x69814)),x69813))
% 163.96/163.65 [6982]~P65(x69821)+E(f316(f316(f280(x69821),f316(f316(f233(x69821),x69822),x69823)),f316(f316(f233(x69821),x69824),x69823)),f316(f316(f233(x69821),f316(f316(f280(x69821),x69822),x69824)),x69823))
% 163.96/163.65 [6983]~P120(x69831)+E(f316(f316(f23(x69831),f316(f316(f280(x69831),x69832),x69833)),f316(f316(f280(x69831),x69834),x69833)),f316(f316(f280(x69831),f316(f316(f23(x69831),x69832),x69834)),x69833))
% 163.96/163.65 [6984]~P120(x69841)+E(f316(f316(f74(x69841),f316(f316(f280(x69841),x69842),x69843)),f316(f316(f280(x69841),x69844),x69843)),f316(f316(f280(x69841),f316(f316(f74(x69841),x69842),x69844)),x69843))
% 163.96/163.65 [6985]~P117(x69851)+E(f316(f316(f74(x69851),f316(f316(f75(x69851),x69852),x69853)),f316(f316(f75(x69851),x69854),x69853)),f316(f316(f75(x69851),f316(f316(f74(x69851),x69852),x69854)),x69853))
% 163.96/163.65 [7016]E(f316(f316(f149(x70161,x70162),x70163),x70164),x70162)+~P107(f316(f316(f224(a898),f316(f179(f899(x70161)),x70162)),x70163))
% 163.96/163.65 [7042]~P107(f316(x70423,x70424))+P107(f316(f316(f316(f100(f905(x70421,a895)),x70422),x70423),x70424))
% 163.96/163.65 [7044]~P107(f316(x70442,x70444))+P107(f316(f316(f316(f100(f905(x70441,a895)),x70442),x70443),x70444))
% 163.96/163.65 [7064]E(f316(f316(f154(x70641),f316(f316(f124(x70641),x70642),x70643)),x70644),f316(f316(f154(x70641),x70642),x70644))+~P107(f316(f316(f225(a898),x70644),f316(f179(f899(x70641)),x70642)))
% 163.96/163.65 [7075]E(f316(f316(f23(f905(x70751,a895)),f316(f316(f298(x70751),x70752),x70753)),x70754),f316(f316(f23(f905(x70751,a895)),x70753),x70754))+~P107(f316(f316(f318(x70751),x70752),x70754))
% 163.96/163.65 [7117]~E(f129(a898,f316(f291(a898,x71171),x71172)),f316(f316(f141(a898),x71174),x71173))+E(f129(a898,f316(f291(a898,f316(f316(f74(a898),x71171),f72(a898))),x71172)),x71173)
% 163.96/163.65 [7140]~P107(f316(f316(f162(x71401),x71403),x71404))+P107(f316(f316(f162(x71401),f316(f316(f141(x71401),x71402),x71403)),x71404))
% 163.96/163.65 [7190]E(x71901,f2(a898))+E(f316(f316(f141(x71902),x71903),f316(f316(f165(x71902),f316(f316(f23(a898),x71901),f72(a898))),x71904)),f316(f316(f165(x71902),x71901),f316(f316(f141(x71902),x71903),x71904)))
% 163.96/163.65 [7292]E(f316(f316(f154(x72921),x72922),f316(f316(f23(a898),x72923),f316(f179(f899(x72921)),x72924))),f316(f316(f154(x72921),f316(f316(f124(x72921),x72924),x72922)),x72923))+P107(f316(f316(f225(a898),x72923),f316(f179(f899(x72921)),x72924)))
% 163.96/163.65 [7322]E(f316(f316(f91(f905(x73221,a895)),x73222),f316(f316(f298(x73221),x73223),x73224)),f316(f316(f298(x73221),x73223),f316(f316(f91(f905(x73221,a895)),x73222),x73224)))+~P107(f316(f316(f318(x73221),x73223),x73222))
% 163.96/163.65 [7360]E(f316(f316(f154(x73601),f316(f316(f149(x73601,x73602),x73603),x73604)),x73603),x73604)+~P107(f316(f316(f225(a898),x73603),f316(f179(f899(x73601)),x73602)))
% 163.96/163.65 [7382]E(x73821,f178(f905(x73822,a895)))+E(f316(f299(f904(x73823,x73822),x73823,f240(x73823,x73822)),f316(f316(f243(x73823,x73822),x73824),f316(f16(f905(x73822,a895),x73823),x73821))),x73824)
% 163.96/163.65 [7383]E(x73831,f178(f905(x73832,a895)))+E(f316(f299(f904(x73832,x73833),x73833,f245(x73832,x73833)),f316(f316(f243(x73832,x73833),x73831),f316(f16(f905(x73833,a895),x73832),x73834))),x73834)
% 163.96/163.65 [7457]E(f316(f316(f23(f905(x74571,a895)),f316(f316(f298(x74571),x74572),x74573)),x74574),f316(f316(f298(x74571),x74572),f316(f316(f23(f905(x74571,a895)),x74573),x74574)))+P107(f316(f316(f318(x74571),x74572),x74574))
% 163.96/163.65 [7493]~E(x74934,f178(f905(x74932,a895)))+E(f316(f299(f904(x74931,x74932),x74931,f240(x74931,x74932)),f316(f316(f243(x74931,x74932),x74933),f316(f16(f905(x74932,a895),x74931),x74934))),f178(f905(x74931,a895)))
% 163.96/163.65 [7494]~E(x74943,f178(f905(x74941,a895)))+E(f316(f299(f904(x74941,x74942),x74942,f245(x74941,x74942)),f316(f316(f243(x74941,x74942),x74943),f316(f16(f905(x74942,a895),x74941),x74944))),f178(f905(x74942,a895)))
% 163.96/163.65 [7546]~P107(f316(f316(f318(x75461),x75462),x75464))+P107(f316(f316(f318(x75461),x75462),f316(f316(f100(f905(x75461,a895)),x75463),x75464)))
% 163.96/163.65 [7549]~P107(f316(f316(f318(x75491),x75492),x75493))+P107(f316(f316(f318(x75491),x75492),f316(f316(f100(f905(x75491,a895)),x75493),x75494)))
% 163.96/163.65 [7567]E(f316(f316(f91(f905(x75671,a895)),f316(f316(f298(x75671),x75672),x75673)),x75674),f316(f316(f298(x75671),x75672),f316(f316(f91(f905(x75671,a895)),x75673),x75674)))+~P107(f316(f316(f318(x75671),x75672),x75674))
% 163.96/163.65 [7843]P107(f316(x78431,x78432))+~P107(f316(f316(f316(f91(f905(x78433,a895)),x78434),x78431),x78432))
% 163.96/163.65 [7844]P107(f316(x78441,x78442))+~P107(f316(f316(f316(f91(f905(x78443,a895)),x78441),x78444),x78442))
% 163.96/163.65 [7845]E(f316(f316(f6(x78451,a898),x78452),f316(f316(f23(f905(x78451,a895)),x78453),f316(f316(f298(x78451),x78454),f178(f905(x78451,a895))))),f316(f316(f6(x78451,a898),x78452),x78453))+P107(f316(f316(f318(x78451),x78454),x78453))
% 163.96/163.65 [7850]~P76(x78501)+E(f316(f155(x78501),f316(f316(f144(a898,x78501),x78502),f129(a898,f316(f291(a898,x78503),x78504)))),f316(f316(f6(a898,x78501),x78502),f316(f162(a898),f129(a898,f316(f291(a898,x78503),x78504)))))
% 163.96/163.65 [7851]~P76(x78511)+E(f316(f316(f6(a898,x78511),x78512),f316(f162(a898),f129(a898,f316(f291(a898,x78513),x78514)))),f316(f155(x78511),f316(f316(f144(a898,x78511),x78512),f129(a898,f316(f291(a898,x78513),x78514)))))
% 163.96/163.65 [7967]~E(x79673,x79674)+P107(f316(f55(x79671,x79672,f316(f316(f298(x79671),x79673),f178(f905(x79671,a895)))),x79674))
% 163.96/163.65 [8063]P107(f316(f316(f318(x80631),x80632),f316(f162(x80631),x80633)))+~P107(f316(f316(f318(x80631),x80632),f316(f162(x80631),f316(f316(f165(x80631),x80634),x80633))))
% 163.96/163.65 [8064]P107(f316(f316(f318(x80641),x80642),f316(f162(x80641),x80643)))+~P107(f316(f316(f318(x80641),x80642),f316(f162(x80641),f316(f316(f128(x80641),x80644),x80643))))
% 163.96/163.65 [8135]P107(f316(f316(f318(x81351),x81352),x81353))+~P107(f316(f316(f318(x81351),x81352),f316(f316(f23(f905(x81351,a895)),x81353),x81354)))
% 163.96/163.65 [8137]P107(f316(f316(f318(x81371),x81372),x81373))+~P107(f316(f316(f318(x81371),x81372),f316(f316(f91(f905(x81371,a895)),x81374),x81373)))
% 163.96/163.65 [8140]P107(f316(f316(f318(x81401),x81402),x81403))+~P107(f316(f316(f318(x81401),x81402),f316(f316(f91(f905(x81401,a895)),x81403),x81404)))
% 163.96/163.65 [8155]E(f316(f316(f124(x81551),f316(f316(f165(x81551),x81552),x81553)),f316(f316(f141(x81551),x81554),f316(f316(f128(x81551),f316(a102,x81552)),x81553))),f316(f316(f149(x81551,x81553),x81552),x81554))+~P107(f316(f316(f225(a898),x81552),f316(f179(f899(x81551)),x81553)))
% 163.96/163.65 [8178]P107(f316(f316(f318(x81781),x81782),x81783))+~P107(f316(f316(f224(f905(x81781,a895)),f316(f316(f298(x81781),x81782),x81784)),x81783))
% 163.96/163.65 [8215]~P107(f316(f316(f318(x82151),x82152),x82153))+~P107(f316(f316(f318(x82151),x82152),f316(f316(f23(f905(x82151,a895)),x82154),x82153)))
% 163.96/163.65 [8247]~P107(f316(f316(f225(a898),x82474),f316(f179(f899(x82471)),x82473)))+P107(f316(f316(f318(x82471),x82472),f316(f162(x82471),f316(f316(f149(x82471,x82473),x82474),x82472))))
% 163.96/163.65 [8300]E(f316(f316(f154(x83001),f316(f316(f128(x83001),x83002),x83003)),x83004),f316(f316(f154(x83001),x83003),f316(f316(f74(a898),x83002),x83004)))+~P107(f316(f316(f224(a898),f316(f316(f74(a898),x83002),x83004)),f316(f179(f899(x83001)),x83003)))
% 163.96/163.65 [8309]~P146(x83092)+E(f316(f316(f6(x83091,x83092),f316(f316(f8(a898,x83092,x83091),f90(x83092)),x83093)),x83094),f316(f90(x83092),f316(f316(f6(x83091,a898),x83093),x83094)))
% 163.96/163.65 [8310]~P141(x83102)+E(f316(f316(f6(x83101,x83102),f316(f316(f8(a1,x83102,x83101),f92(x83102)),x83103)),x83104),f316(f92(x83102),f316(f316(f6(x83101,a1),x83103),x83104)))
% 163.96/163.65 [8360]~P68(x83602)+E(f316(f316(f9(x83601,x83602),f316(f316(f8(x83602,x83602,x83601),f69(x83602)),x83603)),x83604),f316(f69(x83602),f316(f316(f9(x83601,x83602),x83603),x83604)))
% 163.96/163.65 [8361]~P60(x83612)+E(f316(f316(f6(x83611,x83612),f316(f316(f8(x83612,x83612,x83611),f73(x83612)),x83613)),x83614),f316(f73(x83612),f316(f316(f6(x83611,x83612),x83613),x83614)))
% 163.96/163.65 [8363]E(f316(f316(f6(x83631,a898),x83632),f316(f316(f23(f905(x83631,a895)),x83633),f316(f316(f298(x83631),x83634),f178(f905(x83631,a895))))),f316(f316(f23(a898),f316(f316(f6(x83631,a898),x83632),x83633)),f316(x83632,x83634)))+~P107(f316(f316(f318(x83631),x83634),x83633))
% 163.96/163.65 [8383]P107(f316(f316(f224(f905(x83831,a895)),x83832),x83833))+~P107(f316(f316(f224(f905(x83831,a895)),f316(f316(f298(x83831),x83834),x83832)),x83833))
% 163.96/163.65 [8507]~E(f316(f299(x85072,x85073,x85071),f231(f905(x85072,a895))),f231(f905(x85073,a895)))+E(f316(x85071,f316(f85(x85072,x85073,f231(f905(x85072,a895)),x85071),x85074)),x85074)
% 163.96/163.65 [8589]P36(x85891,x85892)+~P36(x85891,f316(f316(f298(f904(x85891,x85891)),f316(f316(f241(x85891,x85891),x85893),x85894)),x85892))
% 163.96/163.65 [8590]P56(x85901,x85902)+~P56(x85901,f316(f316(f298(f904(x85901,x85901)),f316(f316(f241(x85901,x85901),x85903),x85904)),x85902))
% 163.96/163.65 [8595]~P108(x85951)+E(f316(f316(f138(x85951,x85951,f5(x85951)),x85952),f316(f316(f138(x85951,x85951,f5(x85951)),x85953),x85954)),f316(f316(f138(x85951,x85951,f5(x85951)),x85953),f316(f316(f138(x85951,x85951,f5(x85951)),x85952),x85954)))
% 163.96/163.65 [8610]E(x86101,x86102)+~P107(f316(f55(x86103,x86104,f316(f316(f298(x86103),x86101),f178(f905(x86103,a895)))),x86102))
% 163.96/163.65 [8619]E(f316(f316(f124(x86191),f316(f316(f165(x86191),x86192),x86193)),f316(f316(f165(x86191),x86194),f316(f316(f128(x86191),x86192),x86193))),f316(f316(f165(x86191),f316(f316(f74(a898),x86192),x86194)),x86193))+~P107(f316(f316(f224(a898),f316(f316(f74(a898),x86192),x86194)),f316(f179(f899(x86191)),x86193)))
% 163.96/163.65 [8658]P107(f316(f54(x86581),x86582))+~E(x86582,f316(f299(a898,x86581,x86583),f316(f251(a898),f316(f316(f7(a898,a898,a895),f225(a898)),x86584))))
% 163.96/163.65 [8680]~P93(x86801)+E(f316(f132(x86801,x86801,f74(x86801),f316(f316(f74(x86801),x86802),x86803)),x86804),f316(f316(f74(x86801),x86802),f316(f132(x86801,x86801,f74(x86801),x86803),x86804)))
% 163.96/163.65 [8716]P107(f316(f316(f224(f905(x87161,a895)),f316(f253(x87161,x87162),x87163)),f316(f253(x87161,x87162),x87164)))+~P107(f316(f316(f224(f905(f904(x87161,x87162),a895)),x87163),x87164))
% 163.96/163.65 [8729]~P107(f316(f316(f224(a898),x87292),x87294))+P107(f316(f316(f224(f905(x87291,a895)),f316(f162(x87291),f316(f316(f165(x87291),x87292),x87293))),f316(f162(x87291),f316(f316(f165(x87291),x87294),x87293))))
% 163.96/163.65 [8730]~P107(f316(f316(f224(a898),x87304),x87302))+P107(f316(f316(f224(f905(x87301,a895)),f316(f162(x87301),f316(f316(f128(x87301),x87302),x87303))),f316(f162(x87301),f316(f316(f128(x87301),x87304),x87303))))
% 163.96/163.65 [8789]~P107(f316(f54(x87891),f316(f316(f23(f905(x87891,a895)),x87892),x87894)))+P107(f316(f54(x87891),f316(f316(f23(f905(x87891,a895)),x87892),f316(f316(f298(x87891),x87893),x87894))))
% 163.96/163.65 [8831]P107(f316(f316(f318(f904(x88311,x88311)),x88312),f296(x88311,x88313)))+~P107(f316(f316(f318(f904(x88311,x88311)),x88312),f316(f316(f173(f904(x88311,x88311),a895),x88314),x88313)))
% 163.96/163.65 [8917]~P107(f316(f54(x89171),f316(f316(f23(f905(x89171,a895)),x89172),f316(f316(f298(x89171),x89174),x89173))))+P107(f316(f54(x89171),f316(f316(f23(f905(x89171,a895)),x89172),x89173)))
% 163.96/163.65 [9132]~P84(x91321)+P107(f316(f316(f224(x91321),f316(f316(f100(x91321),x91322),f316(f316(f91(x91321),x91323),x91324))),f316(f316(f91(x91321),f316(f316(f100(x91321),x91322),x91323)),f316(f316(f100(x91321),x91322),x91324))))
% 163.96/163.65 [9133]~P108(x91331)+P107(f316(f316(f224(x91331),f316(f316(f223(x91331),x91332),f316(f316(f222(x91331),x91333),x91334))),f316(f316(f222(x91331),f316(f316(f223(x91331),x91332),x91333)),f316(f316(f223(x91331),x91332),x91334))))
% 163.96/163.65 [9280]E(x92801,x92802)+~P107(f316(f316(f318(f904(x92803,x92803)),f316(f316(f241(x92803,x92803),x92801),x92802)),f316(f162(f904(x92803,x92803)),f316(f316(f171(x92803,x92803),x92804),x92804))))
% 163.96/163.65 [9311]~P107(f316(f316(f318(f904(x93111,x93111)),f316(f316(f241(x93111,x93111),x93113),x93112)),f296(x93111,x93114)))+~P36(x93111,f316(f316(f298(f904(x93111,x93111)),f316(f316(f241(x93111,x93111),x93112),x93113)),x93114))
% 163.96/163.65 [9312]~P107(f316(f316(f318(f904(x93121,x93121)),f316(f316(f241(x93121,x93121),x93123),x93122)),f296(x93121,x93124)))+~P56(x93121,f316(f316(f298(f904(x93121,x93121)),f316(f316(f241(x93121,x93121),x93122),x93123)),x93124))
% 163.96/163.65 [9316]E(x93161,x93162)+E(f316(f126(x93163,f316(f316(f8(a895,a895,x93163),a311),f316(a313,x93161))),f316(f316(f141(x93163),x93162),x93164)),f316(f316(f141(x93163),x93162),f316(f126(x93163,f316(f316(f8(a895,a895,x93163),a311),f316(a313,x93161))),x93164)))
% 163.96/163.65 [9345]~P23(x93452,x93451,x93453,f231(f905(x93452,a895)),f231(f905(x93451,a895)))+E(f316(f299(x93451,x93452,f85(x93452,x93451,f231(f905(x93452,a895)),x93453)),x93454),f316(f300(x93452,x93451,x93453),x93454))
% 163.96/163.65 [9361]~P84(x93611)+P107(f316(f316(f224(x93611),f316(f316(f100(x93611),f316(f316(f91(x93611),x93612),x93613)),f316(f316(f91(x93611),x93612),x93614))),f316(f316(f91(x93611),x93612),f316(f316(f100(x93611),x93613),x93614))))
% 163.96/163.65 [9362]~P108(x93621)+P107(f316(f316(f224(x93621),f316(f316(f223(x93621),f316(f316(f222(x93621),x93622),x93623)),f316(f316(f222(x93621),x93622),x93624))),f316(f316(f222(x93621),x93622),f316(f316(f223(x93621),x93623),x93624))))
% 163.96/163.65 [9425]~P23(x94252,x94251,x94254,f231(f905(x94252,a895)),f231(f905(x94251,a895)))+E(f316(f251(x94251),f316(f316(f8(x94252,a895,x94251),x94253),f85(x94252,x94251,f231(f905(x94252,a895)),x94254))),f316(f299(x94252,x94251,x94254),f316(f251(x94252),x94253)))
% 163.96/163.65 [9439]~E(f316(f299(x94392,x94391,x94393),f231(f905(x94392,a895))),f231(f905(x94391,a895)))+P107(f316(f316(f224(f905(x94391,a895)),f316(f73(f905(x94391,a895)),f316(f299(x94392,x94391,x94393),x94394))),f316(f299(x94392,x94391,x94393),f316(f73(f905(x94392,a895)),x94394))))
% 163.96/163.65 [9771]P107(f316(f316(f318(f904(x97711,x97711)),f316(f316(f241(x97711,x97711),x97712),x97713)),f316(f275(x97711,x97711),f316(f316(f278(x97711,x97711,x97711),x97714),f296(x97711,x97714)))))+~P107(f316(f316(f318(f904(x97711,x97711)),f316(f316(f241(x97711,x97711),x97712),x97713)),f316(f316(f278(x97711,x97711,x97711),f316(f275(x97711,x97711),x97714)),f296(x97711,f316(f275(x97711,x97711),x97714)))))
% 163.96/163.65 [9772]~P107(f316(f316(f318(f904(x97721,x97721)),f316(f316(f241(x97721,x97721),x97722),x97723)),f316(f275(x97721,x97721),f316(f316(f278(x97721,x97721,x97721),x97724),f296(x97721,x97724)))))+P107(f316(f316(f318(f904(x97721,x97721)),f316(f316(f241(x97721,x97721),x97722),x97723)),f316(f316(f278(x97721,x97721,x97721),f316(f275(x97721,x97721),x97724)),f296(x97721,f316(f275(x97721,x97721),x97724)))))
% 163.96/163.65 [9793]~P107(f316(f316(f318(x97932),x97934),f316(f273(x97931,x97932),x97933)))+P107(f316(f316(f318(f904(x97931,x97932)),f316(f316(f241(x97931,x97932),f873(x97933,x97931,x97934,x97932)),x97934)),x97933))
% 163.96/163.65 [9794]~P107(f316(f316(f318(x97942),x97944),f316(f273(x97941,x97942),x97943)))+P107(f316(f316(f318(f904(x97941,x97942)),f316(f316(f241(x97941,x97942),f875(x97943,x97941,x97944,x97942)),x97944)),x97943))
% 163.96/163.65 [9819]~P107(f316(f316(f318(x98191),x98194),f316(f316(f100(f905(x98191,a895)),x98192),x98193)))+P107(f316(f316(f316(f100(f905(x98191,a895)),f316(f316(f7(x98191,f905(x98191,a895),a895),f318(x98191)),x98192)),f316(f316(f7(x98191,f905(x98191,a895),a895),f318(x98191)),x98193)),x98194))
% 163.96/163.65 [9820]~P107(f316(f316(f318(x98201),x98204),f316(f316(f91(f905(x98201,a895)),x98202),x98203)))+P107(f316(f316(f316(f91(f905(x98201,a895)),f316(f316(f7(x98201,f905(x98201,a895),a895),f318(x98201)),x98202)),f316(f316(f7(x98201,f905(x98201,a895),a895),f318(x98201)),x98203)),x98204))
% 163.96/163.65 [9903]~P107(f316(f316(f318(f904(x99031,x99031)),f316(f316(f241(x99031,x99031),x99034),x99033)),f316(f316(f278(x99031,x99031,x99031),x99032),f296(x99031,x99032))))+P107(f316(f316(f318(f904(x99031,x99031)),f316(f316(f241(x99031,x99031),f621(x99032,x99033,x99034,x99031)),x99033)),x99032))
% 163.96/163.65 [9938]P107(f316(f316(f318(x99381),x99382),f316(f316(f100(f905(x99381,a895)),x99383),x99384)))+~P107(f316(f316(f316(f100(f905(x99381,a895)),f316(f316(f7(x99381,f905(x99381,a895),a895),f318(x99381)),x99383)),f316(f316(f7(x99381,f905(x99381,a895),a895),f318(x99381)),x99384)),x99382))
% 163.96/163.65 [9939]P107(f316(f316(f318(x99391),x99392),f316(f316(f91(f905(x99391,a895)),x99393),x99394)))+~P107(f316(f316(f316(f91(f905(x99391,a895)),f316(f316(f7(x99391,f905(x99391,a895),a895),f318(x99391)),x99393)),f316(f316(f7(x99391,f905(x99391,a895),a895),f318(x99391)),x99394)),x99392))
% 163.96/163.65 [10224]P31(x102241,f316(f316(f7(x102241,f905(f904(x102241,x102241),a895),f905(x102241,a895)),f316(f316(f8(f905(x102241,f905(f905(f904(x102241,x102241),a895),a895)),f905(f905(f904(x102241,x102241),a895),f905(x102241,a895)),x102241),f7(x102241,f905(f904(x102241,x102241),a895),a895)),f316(f316(f8(f905(x102241,f904(x102241,x102241)),f905(x102241,f905(f905(f904(x102241,x102241),a895),a895)),x102241),f316(f8(f904(x102241,x102241),f905(f905(f904(x102241,x102241),a895),a895),x102241),f318(f904(x102241,x102241)))),f241(x102241,x102241)))),x102242),x102243,x102244)+~P107(f316(f316(f318(f904(f899(x102241),f899(x102241))),f316(f316(f241(f899(x102241),f899(x102241)),x102243),x102244)),f148(x102241,x102242)))
% 163.96/163.65 [10228]P57(x102281,f316(f316(f7(x102281,f905(f904(x102281,x102281),a895),f905(x102281,a895)),f316(f316(f8(f905(x102281,f905(f905(f904(x102281,x102281),a895),a895)),f905(f905(f904(x102281,x102281),a895),f905(x102281,a895)),x102281),f7(x102281,f905(f904(x102281,x102281),a895),a895)),f316(f316(f8(f905(x102281,f904(x102281,x102281)),f905(x102281,f905(f905(f904(x102281,x102281),a895),a895)),x102281),f316(f8(f904(x102281,x102281),f905(f905(f904(x102281,x102281),a895),a895),x102281),f318(f904(x102281,x102281)))),f241(x102281,x102281)))),x102282),x102283,x102284)+~P107(f316(f316(f318(f904(f905(x102281,a895),f905(x102281,a895))),f316(f316(f241(f905(x102281,a895),f905(x102281,a895)),x102283),x102284)),f307(x102281,x102282)))
% 163.96/163.65 [10263]E(x102631,x102632)+~E(f316(f316(f7(x102633,f905(f904(x102633,x102634),a895),f905(x102634,a895)),f316(f316(f8(f905(x102634,f905(f905(f904(x102633,x102634),a895),a895)),f905(f905(f904(x102633,x102634),a895),f905(x102634,a895)),x102633),f7(x102634,f905(f904(x102633,x102634),a895),a895)),f316(f316(f8(f905(x102634,f904(x102633,x102634)),f905(x102634,f905(f905(f904(x102633,x102634),a895),a895)),x102633),f316(f8(f904(x102633,x102634),f905(f905(f904(x102633,x102634),a895),a895),x102634),f318(f904(x102633,x102634)))),f241(x102633,x102634)))),x102631),f316(f316(f7(x102633,f905(f904(x102633,x102634),a895),f905(x102634,a895)),f316(f316(f8(f905(x102634,f905(f905(f904(x102633,x102634),a895),a895)),f905(f905(f904(x102633,x102634),a895),f905(x102634,a895)),x102633),f7(x102634,f905(f904(x102633,x102634),a895),a895)),f316(f316(f8(f905(x102634,f904(x102633,x102634)),f905(x102634,f905(f905(f904(x102633,x102634),a895),a895)),x102633),f316(f8(f904(x102633,x102634),f905(f905(f904(x102633,x102634),a895),a895),x102634),f318(f904(x102633,x102634)))),f241(x102633,x102634)))),x102632))
% 163.96/163.65 [10266]~P31(x102661,f316(f316(f7(x102661,f905(f904(x102661,x102661),a895),f905(x102661,a895)),f316(f316(f8(f905(x102661,f905(f905(f904(x102661,x102661),a895),a895)),f905(f905(f904(x102661,x102661),a895),f905(x102661,a895)),x102661),f7(x102661,f905(f904(x102661,x102661),a895),a895)),f316(f316(f8(f905(x102661,f904(x102661,x102661)),f905(x102661,f905(f905(f904(x102661,x102661),a895),a895)),x102661),f316(f8(f904(x102661,x102661),f905(f905(f904(x102661,x102661),a895),a895),x102661),f318(f904(x102661,x102661)))),f241(x102661,x102661)))),x102664),x102662,x102663)+P107(f316(f316(f318(f904(f899(x102661),f899(x102661))),f316(f316(f241(f899(x102661),f899(x102661)),x102662),x102663)),f148(x102661,x102664)))
% 163.96/163.65 [10267]~P57(x102671,f316(f316(f7(x102671,f905(f904(x102671,x102671),a895),f905(x102671,a895)),f316(f316(f8(f905(x102671,f905(f905(f904(x102671,x102671),a895),a895)),f905(f905(f904(x102671,x102671),a895),f905(x102671,a895)),x102671),f7(x102671,f905(f904(x102671,x102671),a895),a895)),f316(f316(f8(f905(x102671,f904(x102671,x102671)),f905(x102671,f905(f905(f904(x102671,x102671),a895),a895)),x102671),f316(f8(f904(x102671,x102671),f905(f905(f904(x102671,x102671),a895),a895),x102671),f318(f904(x102671,x102671)))),f241(x102671,x102671)))),x102674),x102672,x102673)+P107(f316(f316(f318(f904(f905(x102671,a895),f905(x102671,a895))),f316(f316(f241(f905(x102671,a895),f905(x102671,a895)),x102672),x102673)),f307(x102671,x102674)))
% 163.96/163.65 [7617]~P98(x76171)+E(f316(f316(f75(x76171),f316(f93(x76171),x76172)),f316(f316(f75(x76171),f316(f93(x76171),x76173)),x76174)),f316(f316(f75(x76171),f316(f93(x76171),f316(f316(f75(a1),x76172),x76173))),x76174))
% 163.96/163.65 [7618]~P98(x76181)+E(f316(f316(f74(x76181),f316(f93(x76181),x76182)),f316(f316(f23(x76181),f316(f93(x76181),x76183)),x76184)),f316(f316(f23(x76181),f316(f93(x76181),f316(f316(f74(a1),x76182),x76183))),x76184))
% 163.96/163.65 [7619]~P98(x76191)+E(f316(f316(f74(x76191),f316(f93(x76191),x76192)),f316(f316(f74(x76191),f316(f93(x76191),x76193)),x76194)),f316(f316(f74(x76191),f316(f93(x76191),f316(f316(f74(a1),x76192),x76193))),x76194))
% 163.96/163.65 [7660]~P146(x76601)+E(f316(f155(x76601),f316(f316(f144(x76602,x76601),f316(f16(x76601,x76602),x76603)),x76604)),f316(f316(f75(x76601),f316(f90(x76601),f316(f179(f899(x76602)),x76604))),x76603))
% 163.96/163.65 [7899]E(f316(f257(x78991,f316(f316(f141(f904(a89,x78991)),x78992),x78993)),x78994),f316(f245(a89,x78991),x78992))+~P107(f316(f316(f225(a89),x78994),f316(f240(a89,x78991),x78992)))
% 163.96/163.65 [7941]~P98(x79411)+E(f316(f316(f74(x79411),f316(f93(x79411),x79412)),f316(f316(f23(x79411),x79413),f316(f93(x79411),x79414))),f316(f316(f74(x79411),f316(f93(x79411),f316(f316(f74(a1),x79412),f316(f73(a1),x79414)))),x79413))
% 163.96/163.65 [8076]E(f316(f257(x80761,x80762),f316(f316(f23(a89),x80763),f316(f240(a89,x80761),x80764))),f316(f257(x80761,f316(f316(f141(f904(a89,x80761)),x80764),x80762)),x80763))+P107(f316(f316(f225(a89),x80763),f316(f240(a89,x80761),x80764)))
% 163.96/163.65 [8513]~P107(f316(f316(f318(x85131),x85132),f316(f162(x85131),f104(x85131,x85134))))+P107(f316(f316(f318(x85131),x85132),f316(f162(x85131),f104(x85131,f316(f316(f124(x85131),x85133),x85134)))))
% 163.96/163.65 [8514]~P107(f316(f316(f318(x85141),x85142),f316(f162(x85141),f104(x85141,x85143))))+P107(f316(f316(f318(x85141),x85142),f316(f162(x85141),f104(x85141,f316(f316(f124(x85141),x85143),x85144)))))
% 163.96/163.65 [8532]E(f316(f316(f100(f905(x85321,a895)),f316(f316(f91(f905(x85321,a895)),x85322),x85323)),x85324),f316(f316(f91(f905(x85321,a895)),x85322),f316(f316(f100(f905(x85321,a895)),x85323),x85324)))+~P107(f316(f316(f224(f905(x85321,a895)),x85324),x85322))
% 163.96/163.65 [8845]~E(f316(f316(f100(f905(x88451,a895)),f316(f316(f91(f905(x88451,a895)),x88453),x88454)),x88452),f316(f316(f91(f905(x88451,a895)),x88453),f316(f316(f100(f905(x88451,a895)),x88454),x88452)))+P107(f316(f316(f224(f905(x88451,a895)),x88452),x88453))
% 163.96/163.65 [9137]~P107(f316(f316(f224(f905(x91371,a895)),x91372),f316(f316(f100(f905(x91371,a895)),x91373),x91374)))+P107(f316(f316(f224(f905(x91371,a895)),f316(f316(f23(f905(x91371,a895)),x91372),x91373)),x91374))
% 163.96/163.65 [9252]~E(f316(f299(x92521,x92522,x92523),f231(f905(x92521,a895))),f231(f905(x92522,a895)))+E(f316(f299(x92521,x92522,x92523),f316(f299(x92522,x92521,f85(x92521,x92522,f231(f905(x92521,a895)),x92523)),x92524)),x92524)
% 163.96/163.65 [9257]P107(f316(f316(f224(f905(x92571,a895)),x92572),f316(f316(f100(f905(x92571,a895)),x92573),x92574)))+~P107(f316(f316(f224(f905(x92571,a895)),f316(f316(f23(f905(x92571,a895)),x92572),x92573)),x92574))
% 163.96/163.65 [9340]~P89(x93401)+E(f316(f69(x93401),f316(f316(f6(x93402,x93401),f316(f316(f8(x93401,x93401,x93402),f69(x93401)),x93403)),x93404)),f316(f316(f6(x93402,x93401),f316(f316(f8(x93401,x93401,x93402),f69(x93401)),x93403)),x93404))
% 163.96/163.65 [9515]~P89(x95151)+P107(f316(f316(f224(x95151),f2(x95151)),f316(f316(f6(x95152,x95151),f316(f316(f8(x95151,x95151,x95152),f69(x95151)),x95153)),x95154)))
% 163.96/163.65 [9519]~P60(x95191)+E(f316(f155(x95191),f316(f316(f144(x95192,x95191),f316(f66(x95191,x95191,x95192,f73(x95191)),x95193)),x95194)),f316(f73(x95191),f316(f155(x95191),f316(f316(f144(x95192,x95191),x95193),x95194))))
% 163.96/163.65 [9667]~P89(x96671)+P107(f316(f316(f224(x96671),f316(f69(x96671),f316(f316(f6(x96672,x96671),x96673),x96674))),f316(f316(f6(x96672,x96671),f316(f316(f8(x96671,x96671,x96672),f69(x96671)),x96673)),x96674)))
% 163.96/163.65 [9696]~E(f316(f316(f74(a898),x96961),x96964),f316(f316(f74(a898),x96963),x96962))+P107(f316(f316(f318(f904(f904(a898,a898),f904(a898,a898))),f316(f316(f241(f904(a898,a898),f904(a898,a898)),f316(f316(f241(a898,a898),x96961),x96962)),f316(f316(f241(a898,a898),x96963),x96964))),a98))
% 163.96/163.65 [9697]~P107(f316(f316(f225(a898),x96971),x96973))+P107(f316(f316(f318(f904(f904(a898,a898),f904(a898,a898))),f316(f316(f241(f904(a898,a898),f904(a898,a898)),f316(f316(f241(a898,a898),x96971),x96972)),f316(f316(f241(a898,a898),x96973),x96974))),a26))
% 163.96/163.65 [9698]~P107(f316(f316(f225(a898),x96981),x96983))+P107(f316(f316(f318(f904(f904(a898,a898),f904(a898,a898))),f316(f316(f241(f904(a898,a898),f904(a898,a898)),f316(f316(f241(a898,a898),x96981),x96982)),f316(f316(f241(a898,a898),x96983),x96984))),a64))
% 163.96/163.65 [9846]E(f316(f316(f74(a898),x98461),x98462),f316(f316(f74(a898),x98463),x98464))+~P107(f316(f316(f318(f904(f904(a898,a898),f904(a898,a898))),f316(f316(f241(f904(a898,a898),f904(a898,a898)),f316(f316(f241(a898,a898),x98461),x98464)),f316(f316(f241(a898,a898),x98463),x98462))),a98))
% 163.96/163.65 [9877]E(f316(f316(f154(x98771),f316(f316(f128(x98771),f316(f179(f899(x98771)),f167(x98771,x98772,x98773))),x98773)),x98774),f316(f316(f154(x98771),x98773),f316(f316(f74(a898),x98774),f316(f179(f899(x98771)),f167(x98771,x98772,x98773)))))+~P107(f316(f316(f225(a898),x98774),f316(f179(f899(x98771)),f316(f316(f128(x98771),f316(f179(f899(x98771)),f167(x98771,x98772,x98773))),x98773))))
% 163.96/163.65 [9894]~P107(f316(f316(f318(x98942),x98944),f316(f316(f32(x98941,f905(x98942,a895)),f231(f905(x98941,a895))),x98943)))+P107(f316(f316(f316(f32(x98941,f905(x98942,a895)),f231(f905(x98941,a895))),f316(f316(f8(f905(x98942,a895),f905(x98942,a895),x98941),f316(f7(x98942,f905(x98942,a895),a895),f318(x98942))),x98943)),x98944))
% 163.96/163.65 [9895]~P107(f316(f316(f318(x98952),x98954),f316(f316(f33(x98951,f905(x98952,a895)),f231(f905(x98951,a895))),x98953)))+P107(f316(f316(f316(f33(x98951,f905(x98952,a895)),f231(f905(x98951,a895))),f316(f316(f8(f905(x98952,a895),f905(x98952,a895),x98951),f316(f7(x98952,f905(x98952,a895),a895),f318(x98952))),x98953)),x98954))
% 163.96/163.65 [9965]~P107(f316(f42(x99651,x99652),f316(f316(f241(a1,a1),x99654),x99653)))+P107(f316(f42(f316(f73(a1),x99651),x99652),f316(f316(f241(a1,a1),f316(f316(f316(f86(a1),f316(f316(a313,x99653),f2(a1))),f316(f73(a1),x99654)),f316(f316(f23(a1),f316(f73(a1),x99654)),f72(a1)))),f316(f316(f316(f86(a1),f316(f316(a313,x99653),f2(a1))),f2(a1)),f316(f316(f23(a1),x99652),x99653)))))
% 163.96/163.65 [9977]P107(f316(f316(f318(x99771),x99772),f316(f316(f32(x99773,f905(x99771,a895)),f231(f905(x99773,a895))),x99774)))+~P107(f316(f316(f316(f32(x99773,f905(x99771,a895)),f231(f905(x99773,a895))),f316(f316(f8(f905(x99771,a895),f905(x99771,a895),x99773),f316(f7(x99771,f905(x99771,a895),a895),f318(x99771))),x99774)),x99772))
% 163.96/163.65 [9978]P107(f316(f316(f318(x99781),x99782),f316(f316(f33(x99783,f905(x99781,a895)),f231(f905(x99783,a895))),x99784)))+~P107(f316(f316(f316(f33(x99783,f905(x99781,a895)),f231(f905(x99783,a895))),f316(f316(f8(f905(x99781,a895),f905(x99781,a895),x99783),f316(f7(x99781,f905(x99781,a895),a895),f318(x99781))),x99784)),x99782))
% 163.96/163.65 [9990]E(f316(f316(f33(a898,f905(x99901,a895)),f231(f905(a898,a895))),x99902),f316(f316(f33(a898,f905(x99901,a895)),f231(f905(a898,a895))),x99903))+~E(f316(f316(f33(a898,f905(x99901,a895)),f316(f291(a898,f2(a898)),f523(x99902,x99904,x99903,x99901))),x99903),f316(f316(f33(a898,f905(x99901,a895)),f316(f291(a898,f2(a898)),f316(f316(f74(a898),f523(x99902,x99904,x99903,x99901)),x99904))),x99902))
% 163.96/163.65 [10345]~P107(f316(f316(f224(f905(f904(x103451,x103452),a895)),x103453),x103454))+P107(f316(f316(f224(f905(x103451,f905(x103452,a895))),f316(f316(f7(x103451,f905(f904(x103451,x103452),a895),f905(x103452,a895)),f316(f316(f8(f905(x103452,f905(f905(f904(x103451,x103452),a895),a895)),f905(f905(f904(x103451,x103452),a895),f905(x103452,a895)),x103451),f7(x103452,f905(f904(x103451,x103452),a895),a895)),f316(f316(f8(f905(x103452,f904(x103451,x103452)),f905(x103452,f905(f905(f904(x103451,x103452),a895),a895)),x103451),f316(f8(f904(x103451,x103452),f905(f905(f904(x103451,x103452),a895),a895),x103452),f318(f904(x103451,x103452)))),f241(x103451,x103452)))),x103453)),f316(f316(f7(x103451,f905(f904(x103451,x103452),a895),f905(x103452,a895)),f316(f316(f8(f905(x103452,f905(f905(f904(x103451,x103452),a895),a895)),f905(f905(f904(x103451,x103452),a895),f905(x103452,a895)),x103451),f7(x103452,f905(f904(x103451,x103452),a895),a895)),f316(f316(f8(f905(x103452,f904(x103451,x103452)),f905(x103452,f905(f905(f904(x103451,x103452),a895),a895)),x103451),f316(f8(f904(x103451,x103452),f905(f905(f904(x103451,x103452),a895),a895),x103452),f318(f904(x103451,x103452)))),f241(x103451,x103452)))),x103454)))
% 163.96/163.65 [10361]P107(f316(f316(f224(f905(f904(x103611,x103612),a895)),x103613),x103614))+~P107(f316(f316(f224(f905(x103611,f905(x103612,a895))),f316(f316(f7(x103611,f905(f904(x103611,x103612),a895),f905(x103612,a895)),f316(f316(f8(f905(x103612,f905(f905(f904(x103611,x103612),a895),a895)),f905(f905(f904(x103611,x103612),a895),f905(x103612,a895)),x103611),f7(x103612,f905(f904(x103611,x103612),a895),a895)),f316(f316(f8(f905(x103612,f904(x103611,x103612)),f905(x103612,f905(f905(f904(x103611,x103612),a895),a895)),x103611),f316(f8(f904(x103611,x103612),f905(f905(f904(x103611,x103612),a895),a895),x103612),f318(f904(x103611,x103612)))),f241(x103611,x103612)))),x103613)),f316(f316(f7(x103611,f905(f904(x103611,x103612),a895),f905(x103612,a895)),f316(f316(f8(f905(x103612,f905(f905(f904(x103611,x103612),a895),a895)),f905(f905(f904(x103611,x103612),a895),f905(x103612,a895)),x103611),f7(x103612,f905(f904(x103611,x103612),a895),a895)),f316(f316(f8(f905(x103612,f904(x103611,x103612)),f905(x103612,f905(f905(f904(x103611,x103612),a895),a895)),x103611),f316(f8(f904(x103611,x103612),f905(f905(f904(x103611,x103612),a895),a895),x103612),f318(f904(x103611,x103612)))),f241(x103611,x103612)))),x103614)))
% 163.96/163.65 [9388]~P107(f316(f316(f318(f904(x93881,x93881)),x93882),f296(x93881,x93884)))+P107(f316(f316(f318(f904(x93881,x93881)),x93882),f296(x93881,f316(f316(f100(f905(f904(x93881,x93881),a895)),x93883),x93884))))
% 163.96/163.65 [9389]~P107(f316(f316(f318(f904(x93891,x93891)),x93892),f296(x93891,x93893)))+P107(f316(f316(f318(f904(x93891,x93891)),x93892),f296(x93891,f316(f316(f100(f905(f904(x93891,x93891),a895)),x93893),x93894))))
% 163.96/163.65 [10078]~P107(f316(f316(f224(a898),f316(f316(f74(a898),x100781),x100784)),f316(f316(f74(a898),x100783),x100782)))+P107(f316(f316(f224(a1),f316(a83,f316(f274(f904(a898,a898),f904(a898,a898),a98),f316(f316(f298(f904(a898,a898)),f316(f316(f241(a898,a898),x100781),x100782)),f178(f905(f904(a898,a898),a895)))))),f316(a83,f316(f274(f904(a898,a898),f904(a898,a898),a98),f316(f316(f298(f904(a898,a898)),f316(f316(f241(a898,a898),x100783),x100784)),f178(f905(f904(a898,a898),a895)))))))
% 163.96/163.65 [10079]~P107(f316(f316(f225(a898),f316(f316(f74(a898),x100791),x100794)),f316(f316(f74(a898),x100793),x100792)))+P107(f316(f316(f225(a1),f316(a83,f316(f274(f904(a898,a898),f904(a898,a898),a98),f316(f316(f298(f904(a898,a898)),f316(f316(f241(a898,a898),x100791),x100792)),f178(f905(f904(a898,a898),a895)))))),f316(a83,f316(f274(f904(a898,a898),f904(a898,a898),a98),f316(f316(f298(f904(a898,a898)),f316(f316(f241(a898,a898),x100793),x100794)),f178(f905(f904(a898,a898),a895)))))))
% 163.96/163.65 [10167]P107(f316(f316(f224(a898),f316(f316(f74(a898),x101671),x101672)),f316(f316(f74(a898),x101673),x101674)))+~P107(f316(f316(f224(a1),f316(a83,f316(f274(f904(a898,a898),f904(a898,a898),a98),f316(f316(f298(f904(a898,a898)),f316(f316(f241(a898,a898),x101671),x101674)),f178(f905(f904(a898,a898),a895)))))),f316(a83,f316(f274(f904(a898,a898),f904(a898,a898),a98),f316(f316(f298(f904(a898,a898)),f316(f316(f241(a898,a898),x101673),x101672)),f178(f905(f904(a898,a898),a895)))))))
% 163.96/163.65 [10168]P107(f316(f316(f225(a898),f316(f316(f74(a898),x101681),x101682)),f316(f316(f74(a898),x101683),x101684)))+~P107(f316(f316(f225(a1),f316(a83,f316(f274(f904(a898,a898),f904(a898,a898),a98),f316(f316(f298(f904(a898,a898)),f316(f316(f241(a898,a898),x101681),x101684)),f178(f905(f904(a898,a898),a895)))))),f316(a83,f316(f274(f904(a898,a898),f904(a898,a898),a98),f316(f316(f298(f904(a898,a898)),f316(f316(f241(a898,a898),x101683),x101682)),f178(f905(f904(a898,a898),a895)))))))
% 163.96/163.65 [10210]P107(f316(f316(f224(f905(x102101,a895)),f316(f316(f33(a898,f905(x102101,a895)),f231(f905(a898,a895))),x102102)),f316(f316(f33(a898,f905(x102101,a895)),f231(f905(a898,a895))),x102103)))+~P107(f316(f316(f224(f905(x102101,a895)),f316(f316(f33(a898,f905(x102101,a895)),f316(f291(a898,f2(a898)),f512(x102103,x102104,x102102,x102101))),x102102)),f316(f316(f33(a898,f905(x102101,a895)),f316(f291(a898,f2(a898)),f316(f316(f74(a898),f512(x102103,x102104,x102102,x102101)),x102104))),x102103)))
% 163.96/163.65 [10270]P107(f316(f316(f224(a89),x102704),f2(a89)))+E(f316(f316(f248(f904(a89,a89),f904(x102701,f905(a901,a312)),f904(a89,a89),f904(f905(a89,f905(a895,f902(f900(x102701)))),f904(a89,a89))),f316(x102702,x102703)),f316(f316(f8(f905(f905(a89,f905(a895,f902(f900(x102701)))),f905(f904(a89,a89),f904(f905(a89,f905(a895,f902(f900(x102701)))),f904(a89,a89)))),f905(f904(a89,a89),f904(f905(a89,f905(a895,f902(f900(x102701)))),f904(a89,a89))),f904(x102701,f905(a901,a312))),f316(f248(f904(a89,a89),f905(a89,f905(a895,f902(f900(x102701)))),f904(a89,a89),f904(f905(a89,f905(a895,f902(f900(x102701)))),f904(a89,a89))),f266(x102701,x102702,f316(f316(f23(a89),x102704),f72(a89)),x102703))),f316(f316(f8(f905(f905(a89,f905(a895,f902(f900(x102701)))),f905(a89,f905(a895,f902(f900(x102701))))),f905(f905(a89,f905(a895,f902(f900(x102701)))),f905(f904(a89,a89),f904(f905(a89,f905(a895,f902(f900(x102701)))),f904(a89,a89)))),f904(x102701,f905(a901,a312))),f316(f8(f905(a89,f905(a895,f902(f900(x102701)))),f905(f904(a89,a89),f904(f905(a89,f905(a895,f902(f900(x102701)))),f904(a89,a89))),f905(a89,f905(a895,f902(f900(x102701))))),f241(f905(a89,f905(a895,f902(f900(x102701)))),f904(a89,a89)))),f316(f316(f8(f905(a89,f905(a895,f902(f900(x102701)))),f905(f905(a89,f905(a895,f902(f900(x102701)))),f905(a89,f905(a895,f902(f900(x102701))))),f904(x102701,f905(a901,a312))),f37(x102701)),f316(f316(f8(x102701,f905(a89,f905(a895,f902(f900(x102701)))),f904(x102701,f905(a901,a312))),f35(x102701)),f240(x102701,f905(a901,a312))))))),f266(x102701,x102702,x102704,x102703))
% 163.96/163.65 [10335]~P107(f316(f316(f318(x103352),x103354),f316(f273(x103351,x103352),x103353)))+P107(f316(f239(x103351,x103352,f316(f316(f7(x103351,f905(f904(x103351,x103352),a895),f905(x103352,a895)),f316(f316(f8(f905(x103352,f905(f905(f904(x103351,x103352),a895),a895)),f905(f905(f904(x103351,x103352),a895),f905(x103352,a895)),x103351),f7(x103352,f905(f904(x103351,x103352),a895),a895)),f316(f316(f8(f905(x103352,f904(x103351,x103352)),f905(x103352,f905(f905(f904(x103351,x103352),a895),a895)),x103351),f316(f8(f904(x103351,x103352),f905(f905(f904(x103351,x103352),a895),a895),x103352),f318(f904(x103351,x103352)))),f241(x103351,x103352)))),x103353)),x103354))
% 163.96/163.65 [10336]~P107(f316(f316(f318(x103361),x103364),f316(f253(x103361,x103362),x103363)))+P107(f316(f238(x103361,x103362,f316(f316(f7(x103361,f905(f904(x103361,x103362),a895),f905(x103362,a895)),f316(f316(f8(f905(x103362,f905(f905(f904(x103361,x103362),a895),a895)),f905(f905(f904(x103361,x103362),a895),f905(x103362,a895)),x103361),f7(x103362,f905(f904(x103361,x103362),a895),a895)),f316(f316(f8(f905(x103362,f904(x103361,x103362)),f905(x103362,f905(f905(f904(x103361,x103362),a895),a895)),x103361),f316(f8(f904(x103361,x103362),f905(f905(f904(x103361,x103362),a895),a895),x103362),f318(f904(x103361,x103362)))),f241(x103361,x103362)))),x103363)),x103364))
% 163.96/163.65 [10348]P107(f316(f316(f318(x103481),x103482),f316(f273(x103483,x103481),x103484)))+~P107(f316(f239(x103483,x103481,f316(f316(f7(x103483,f905(f904(x103483,x103481),a895),f905(x103481,a895)),f316(f316(f8(f905(x103481,f905(f905(f904(x103483,x103481),a895),a895)),f905(f905(f904(x103483,x103481),a895),f905(x103481,a895)),x103483),f7(x103481,f905(f904(x103483,x103481),a895),a895)),f316(f316(f8(f905(x103481,f904(x103483,x103481)),f905(x103481,f905(f905(f904(x103483,x103481),a895),a895)),x103483),f316(f8(f904(x103483,x103481),f905(f905(f904(x103483,x103481),a895),a895),x103481),f318(f904(x103483,x103481)))),f241(x103483,x103481)))),x103484)),x103482))
% 163.96/163.65 [10349]P107(f316(f316(f318(x103491),x103492),f316(f253(x103491,x103493),x103494)))+~P107(f316(f238(x103491,x103493,f316(f316(f7(x103491,f905(f904(x103491,x103493),a895),f905(x103493,a895)),f316(f316(f8(f905(x103493,f905(f905(f904(x103491,x103493),a895),a895)),f905(f905(f904(x103491,x103493),a895),f905(x103493,a895)),x103491),f7(x103493,f905(f904(x103491,x103493),a895),a895)),f316(f316(f8(f905(x103493,f904(x103491,x103493)),f905(x103493,f905(f905(f904(x103491,x103493),a895),a895)),x103491),f316(f8(f904(x103491,x103493),f905(f905(f904(x103491,x103493),a895),a895),x103493),f318(f904(x103491,x103493)))),f241(x103491,x103493)))),x103494)),x103492))
% 163.96/163.65 [10001]P107(f316(f150(x100011,x100012),x100013))+~P107(f316(f150(x100011,f316(f316(f18(x100011,a895,a895),f316(f316(f8(a895,f905(a895,a895),x100011),a314),x100014)),x100012)),x100013))
% 163.96/163.65 [10002]P107(f316(f150(x100021,x100022),x100023))+~P107(f316(f150(x100021,f316(f316(f18(x100021,a895,a895),f316(f316(f8(a895,f905(a895,a895),x100021),a314),x100022)),x100024)),x100023))
% 163.96/163.65 [10090]~P117(x100901)+E(f316(f316(f75(x100901),f316(f316(f74(x100901),f72(x100901)),f72(x100901))),f316(f316(f6(a898,x100901),f316(f316(f8(x100901,x100901,a898),f316(f74(x100901),x100902)),f316(f316(f7(a898,x100901,x100901),f316(f316(f8(x100901,f905(x100901,x100901),a898),f75(x100901)),f90(x100901))),x100903))),f316(f271(a898),x100904))),f316(f316(f75(x100901),f316(f90(x100901),x100904)),f316(f316(f74(x100901),x100902),f316(f316(f74(x100901),x100902),f316(f316(f75(x100901),f316(f90(x100901),f316(f316(f23(a898),x100904),f72(a898)))),x100903)))))
% 163.96/163.65 [10231]P107(f316(x102311,f388(x102312,x102313,x102314,x102311)))+P36(x102312,f316(f251(f904(x102312,x102312)),f316(f246(x102312,x102312,a895),f316(f316(f8(f905(x102312,a895),f905(x102312,a895),x102312),f316(f18(x102312,a895,a895),f316(f316(f8(a895,f905(a895,a895),x102312),a314),x102311))),f316(f316(f7(x102312,f905(x102312,x102312),f905(x102312,a895)),f316(f316(f8(f905(x102312,a895),f905(f905(x102312,x102312),f905(x102312,a895)),x102312),f8(x102312,a895,x102312)),a313)),x102313)))))
% 163.96/163.65 [10245]~P107(f316(f316(f225(a898),f316(x102454,f316(x102453,f388(x102451,x102453,x102454,x102452)))),f316(x102454,f388(x102451,x102453,x102454,x102452))))+P36(x102451,f316(f251(f904(x102451,x102451)),f316(f246(x102451,x102451,a895),f316(f316(f8(f905(x102451,a895),f905(x102451,a895),x102451),f316(f18(x102451,a895,a895),f316(f316(f8(a895,f905(a895,a895),x102451),a314),x102452))),f316(f316(f7(x102451,f905(x102451,x102451),f905(x102451,a895)),f316(f316(f8(f905(x102451,a895),f905(f905(x102451,x102451),f905(x102451,a895)),x102451),f8(x102451,a895,x102451)),a313)),x102453)))))
% 163.96/163.65 [10322]~P2(x103221)+E(f30(x103221,f316(f251(x103221),f316(f316(f8(f905(f905(x103222,x103221),a895),a895,x103221),f81(f905(x103222,x103221))),f316(f316(f8(f905(f905(x103222,x103221),a895),f905(f905(x103222,x103221),a895),x103221),f316(f18(f905(x103222,x103221),a895,a895),f316(f316(f8(a895,f905(a895,a895),f905(x103222,x103221)),a314),f316(f316(f7(f905(x103222,x103221),f905(f905(x103222,x103221),a895),a895),f318(f905(x103222,x103221))),x103223)))),f316(f316(f7(x103221,f905(f905(x103222,x103221),x103221),f905(f905(x103222,x103221),a895)),f316(f316(f8(f905(x103221,a895),f905(f905(f905(x103222,x103221),x103221),f905(f905(x103222,x103221),a895)),x103221),f8(x103221,a895,f905(x103222,x103221))),a313)),f316(f316(f7(f905(x103222,x103221),x103222,x103221),f5(f905(x103222,x103221))),x103224)))))),f316(f30(f905(x103222,x103221),x103223),x103224))
% 163.96/163.65 [10323]~P2(x103231)+E(f30(x103231,f316(f251(x103231),f316(f316(f8(f905(f905(x103232,x103231),a895),a895,x103231),f81(f905(x103232,x103231))),f316(f316(f8(f905(f905(x103232,x103231),a895),f905(f905(x103232,x103231),a895),x103231),f316(f18(f905(x103232,x103231),a895,a895),f316(f316(f8(a895,f905(a895,a895),f905(x103232,x103231)),a314),f316(f316(f7(f905(x103232,x103231),f905(f905(x103232,x103231),a895),a895),f318(f905(x103232,x103231))),x103233)))),f316(f316(f7(x103231,f905(f905(x103232,x103231),x103231),f905(f905(x103232,x103231),a895)),f316(f316(f8(f905(x103231,a895),f905(f905(f905(x103232,x103231),x103231),f905(f905(x103232,x103231),a895)),x103231),f8(x103231,a895,f905(x103232,x103231))),a313)),f316(f316(f7(f905(x103232,x103231),x103232,x103231),f5(f905(x103232,x103231))),x103234)))))),f316(f30(f905(x103232,x103231),x103233),x103234))
% 163.96/163.65 [10324]~P2(x103241)+E(f31(x103241,f316(f251(x103241),f316(f316(f8(f905(f905(x103242,x103241),a895),a895,x103241),f81(f905(x103242,x103241))),f316(f316(f8(f905(f905(x103242,x103241),a895),f905(f905(x103242,x103241),a895),x103241),f316(f18(f905(x103242,x103241),a895,a895),f316(f316(f8(a895,f905(a895,a895),f905(x103242,x103241)),a314),f316(f316(f7(f905(x103242,x103241),f905(f905(x103242,x103241),a895),a895),f318(f905(x103242,x103241))),x103243)))),f316(f316(f7(x103241,f905(f905(x103242,x103241),x103241),f905(f905(x103242,x103241),a895)),f316(f316(f8(f905(x103241,a895),f905(f905(f905(x103242,x103241),x103241),f905(f905(x103242,x103241),a895)),x103241),f8(x103241,a895,f905(x103242,x103241))),a313)),f316(f316(f7(f905(x103242,x103241),x103242,x103241),f5(f905(x103242,x103241))),x103244)))))),f316(f31(f905(x103242,x103241),x103243),x103244))
% 163.96/163.65 [10325]~P2(x103251)+E(f31(x103251,f316(f251(x103251),f316(f316(f8(f905(f905(x103252,x103251),a895),a895,x103251),f81(f905(x103252,x103251))),f316(f316(f8(f905(f905(x103252,x103251),a895),f905(f905(x103252,x103251),a895),x103251),f316(f18(f905(x103252,x103251),a895,a895),f316(f316(f8(a895,f905(a895,a895),f905(x103252,x103251)),a314),f316(f316(f7(f905(x103252,x103251),f905(f905(x103252,x103251),a895),a895),f318(f905(x103252,x103251))),x103253)))),f316(f316(f7(x103251,f905(f905(x103252,x103251),x103251),f905(f905(x103252,x103251),a895)),f316(f316(f8(f905(x103251,a895),f905(f905(f905(x103252,x103251),x103251),f905(f905(x103252,x103251),a895)),x103251),f8(x103251,a895,f905(x103252,x103251))),a313)),f316(f316(f7(f905(x103252,x103251),x103252,x103251),f5(f905(x103252,x103251))),x103254)))))),f316(f31(f905(x103252,x103251),x103253),x103254))
% 163.96/163.65 [10374]~P107(f316(f316(f318(f904(x103741,x103741)),f316(f316(f241(x103741,x103741),x103743),x103744)),f316(f316(f100(f905(f904(x103741,x103741),a895)),x103742),f296(x103741,f178(f905(f904(x103741,x103741),a895))))))+P107(f316(f316(f316(f316(f100(f905(x103741,f905(x103741,a895))),f316(f316(f7(x103741,f905(f904(x103741,x103741),a895),f905(x103741,a895)),f316(f316(f8(f905(x103741,f905(f905(f904(x103741,x103741),a895),a895)),f905(f905(f904(x103741,x103741),a895),f905(x103741,a895)),x103741),f7(x103741,f905(f904(x103741,x103741),a895),a895)),f316(f316(f8(f905(x103741,f904(x103741,x103741)),f905(x103741,f905(f905(f904(x103741,x103741),a895),a895)),x103741),f316(f8(f904(x103741,x103741),f905(f905(f904(x103741,x103741),a895),a895),x103741),f318(f904(x103741,x103741)))),f241(x103741,x103741)))),x103742)),a313),x103743),x103744))
% 163.96/163.65 [10384]P107(f316(f316(f318(f904(x103841,x103841)),f316(f316(f241(x103841,x103841),x103842),x103843)),f316(f316(f100(f905(f904(x103841,x103841),a895)),x103844),f296(x103841,f178(f905(f904(x103841,x103841),a895))))))+~P107(f316(f316(f316(f316(f100(f905(x103841,f905(x103841,a895))),f316(f316(f7(x103841,f905(f904(x103841,x103841),a895),f905(x103841,a895)),f316(f316(f8(f905(x103841,f905(f905(f904(x103841,x103841),a895),a895)),f905(f905(f904(x103841,x103841),a895),f905(x103841,a895)),x103841),f7(x103841,f905(f904(x103841,x103841),a895),a895)),f316(f316(f8(f905(x103841,f904(x103841,x103841)),f905(x103841,f905(f905(f904(x103841,x103841),a895),a895)),x103841),f316(f8(f904(x103841,x103841),f905(f905(f904(x103841,x103841),a895),a895),x103841),f318(f904(x103841,x103841)))),f241(x103841,x103841)))),x103844)),a313),x103842),x103843))
% 163.96/163.65 [10332]E(f316(f316(f141(f899(x103321)),f316(f316(f141(x103321),x103322),f316(f132(f899(x103321),f899(x103321),f124(x103321),f103(x103321)),f316(f316(f144(f899(x103321),f899(x103321)),f146(f899(x103321),x103321,f103(x103321),f316(f316(f8(f899(x103321),f905(f899(x103321),f899(x103321)),x103321),f16(f899(x103321),f899(x103321))),f316(f316(f7(x103321,f899(x103321),f899(x103321)),f141(x103321)),f103(x103321))))),x103323)))),f169(x103321,f316(f316(f141(f899(x103321)),x103324),f316(f132(f899(f899(x103321)),f899(f899(x103321)),f124(f899(x103321)),f103(f899(x103321))),f316(f316(f144(f899(x103321),f899(f899(x103321))),f146(f899(f899(x103321)),x103321,f103(f899(x103321)),f316(f16(f905(f899(x103321),f899(f899(x103321))),x103321),f316(f316(f7(f899(x103321),f899(f899(x103321)),f899(f899(x103321))),f141(f899(x103321))),f103(f899(x103321)))))),x103323))))),f169(x103321,f316(f316(f141(f899(x103321)),f316(f316(f141(x103321),x103322),x103324)),x103323)))+~P107(f316(f304(f899(f899(x103321)),f170(x103321)),f316(f316(f141(f899(x103321)),f316(f316(f141(x103321),x103322),x103324)),x103323)))
% 163.96/163.65 [10373]~P107(f316(f54(x103732),f316(f251(x103732),x103734)))+P107(f316(f54(x103731),f316(f251(x103731),f316(f316(f8(f905(x103732,a895),a895,x103731),f81(x103732)),f316(f316(f7(x103731,f905(x103732,a895),f905(x103732,a895)),f316(f316(f8(f905(x103732,f905(a895,a895)),f905(f905(x103732,a895),f905(x103732,a895)),x103731),f18(x103732,a895,a895)),f316(f316(f8(f905(x103732,a895),f905(x103732,f905(a895,a895)),x103731),f316(f8(a895,f905(a895,a895),x103732),a314)),f316(f316(f7(x103731,f905(x103732,x103731),f905(x103732,a895)),f316(f316(f8(f905(x103731,a895),f905(f905(x103732,x103731),f905(x103732,a895)),x103731),f8(x103731,a895,x103732)),a313)),x103733)))),x103734)))))
% 163.96/163.65 [8883]P22(x88831,x88832,x88833,x88834)+~P23(x88831,x88832,x88833,x88834,x88835)
% 163.96/163.65 [5345]E(x53451,x53452)+~E(f159(x53453,x53451,x53454),f159(x53453,x53452,x53455))
% 163.96/163.65 [5346]E(x53461,x53462)+~E(f116(x53463,x53464,x53461),f116(x53463,x53465,x53462))
% 163.96/163.65 [5347]E(x53471,x53472)+~E(f116(x53473,x53471,x53474),f116(x53473,x53472,x53475))
% 163.96/163.65 [8208]~E(f316(x82083,x82084),x82085)+E(f68(x82081,x82082,x82083,x82084,x82085),x82083)
% 163.96/163.65 [8739]~E(f68(x87394,x87395,x87391,x87392,x87393),x87391)+E(f316(x87391,x87392),x87393)
% 163.96/163.65 [8747]~P27(x87473,x87474,x87471,x87475,x87472)+P107(f316(x87471,x87472))
% 163.96/163.65 [9359]~P23(x93592,x93591,x93594,x93593,x93595)+P23(x93591,x93592,f71(x93592,x93591,x93593,x93594),x93595,x93593)
% 163.96/163.65 [9360]~P23(x93602,x93601,x93604,x93603,x93605)+P23(x93601,x93602,f85(x93602,x93601,x93603,x93604),x93605,x93603)
% 163.96/163.65 [6165]P107(f316(f239(x61651,x61652,x61653),x61654))+~P107(f316(f316(x61653,x61655),x61654))
% 163.96/163.65 [6167]P107(f316(f238(x61671,x61672,x61673),x61674))+~P107(f316(f316(x61673,x61674),x61675))
% 163.96/163.65 [6652]~E(x66525,f2(a89))+E(f316(f188(x66521,x66522,x66523,x66524),x66525),f105(x66522))
% 163.96/163.65 [6653]~E(x66535,f2(a89))+E(f316(f186(x66531,x66532,x66533,x66534),x66535),f114(x66532))
% 163.96/163.65 [6793]~E(x67933,f2(a89))+E(f316(f262(x67931,x67932,x67933,x67934),x67935),f316(f241(x67931,x67932),x67935))
% 163.96/163.65 [7855]~P17(x78554,x78551,x78552,x78555)+E(f316(f66(x78551,x78551,x78551,f316(x78552,x78553)),f316(x78552,x78553)),f316(x78552,x78553))
% 163.96/163.65 [8248]~P13(x82485,x82481,x82482)+E(f316(f66(x82481,x82481,x82481,f316(x82482,x82483)),f316(x82482,x82484)),f316(f66(x82481,x82481,x82481,f316(x82482,x82484)),f316(x82482,x82483)))
% 163.96/163.65 [8572]P107(f316(f316(f318(f904(x85721,x85721)),f316(f316(f241(x85721,x85721),x85722),x85723)),f310(x85721,x85724,x85725)))+~P107(f316(f316(f225(a898),f316(x85724,x85722)),f316(x85724,x85723)))
% 163.96/163.65 [8664]~P107(f316(f316(f318(x86644),x86643),f279(x86644,x86641,x86642,x86645)))+P107(f316(f316(x86641,x86642),x86643))
% 163.96/163.65 [8665]~P107(f316(f316(f318(x86654),x86653),f288(x86654,x86651,x86652,x86655)))+P107(f316(f316(x86651,x86652),x86653))
% 163.96/163.65 [8666]~P107(f316(f316(f318(x86664),x86662),f279(x86664,x86661,x86665,x86663)))+P107(f316(f316(x86661,x86662),x86663))
% 163.96/163.65 [8667]~P107(f316(f316(f318(x86674),x86672),f288(x86674,x86671,x86675,x86673)))+P107(f316(f316(x86671,x86672),x86673))
% 163.96/163.65 [8752]~P23(x87521,x87523,x87525,x87522,x87524)+E(f316(f28(x87521),x87522),f316(f28(x87523),x87524))
% 163.96/163.65 [8784]~P27(x87844,x87841,x87845,x87842,x87843)+P107(f316(f316(x87841,x87842),x87843))
% 163.96/163.65 [8801]~P23(x88011,x88012,x88013,x88014,x88015)+E(f316(f299(x88011,x88012,x88013),x88014),x88015)
% 163.96/163.65 [8821]~P55(x88212,x88211,x88215,x88213,x88214)+E(f316(f299(x88211,x88212,x88213),x88214),f231(f905(x88212,a895)))
% 163.96/163.65 [9269]~P33(x92691,x92692,x92693,x92694,x92695)+P33(x92691,x92692,x92693,f316(f158(x92691),x92694),f316(f158(x92692),x92695))
% 163.96/163.65 [9271]~P33(x92711,x92712,x92713,f316(f158(x92711),x92714),x92715)+P33(x92711,x92712,x92713,x92714,f316(f158(x92712),x92715))
% 163.96/163.65 [9272]~P33(x92721,x92722,x92723,x92724,f316(f158(x92722),x92725))+P33(x92721,x92722,x92723,f316(f158(x92721),x92724),x92725)
% 163.96/163.65 [9278]P33(x92781,x92782,x92783,x92784,x92785)+~P33(x92781,x92782,x92783,f316(f158(x92781),x92784),f316(f158(x92782),x92785))
% 163.96/163.65 [9686]P107(f316(f316(f318(f904(f899(x96861),f899(x96861))),f316(f316(f241(f899(x96861),f899(x96861)),f316(f316(f141(x96861),x96862),x96863)),f316(f316(f141(x96861),x96862),x96864))),f147(x96861,x96865)))+~P107(f316(f316(f318(f904(f899(x96861),f899(x96861))),f316(f316(f241(f899(x96861),f899(x96861)),x96863),x96864)),f147(x96861,x96865)))
% 163.96/163.65 [9687]P107(f316(f316(f318(f904(f899(x96871),f899(x96871))),f316(f316(f241(f899(x96871),f899(x96871)),f316(f316(f124(x96871),x96872),x96873)),f316(f316(f124(x96871),x96872),x96874))),f137(x96871,x96875)))+~P107(f316(f316(f318(f904(f899(x96871),f899(x96871))),f316(f316(f241(f899(x96871),f899(x96871)),x96873),x96874)),f137(x96871,x96875)))
% 163.96/163.65 [9884]E(f316(f316(f141(x98841),f641(x98842,x98843,x98844,x98845,x98841)),f645(x98842,x98843,x98844,x98845,x98841)),x98845)+~P107(f316(f316(f318(f904(f899(x98841),f899(x98841))),f316(f316(f241(f899(x98841),f899(x98841)),x98845),f316(f316(f141(x98841),x98844),x98843))),f148(x98841,x98842)))
% 163.96/163.65 [9906]E(f316(f316(f141(x99061),f646(x99062,x99063,x99064,x99065,x99061)),f647(x99062,x99063,x99064,x99065,x99061)),x99063)+~P107(f316(f316(f318(f904(f899(x99061),f899(x99061))),f316(f316(f241(f899(x99061),f899(x99061)),f316(f316(f141(x99061),x99065),x99064)),x99063)),f148(x99061,x99062)))
% 163.96/163.65 [10051]~P107(f316(f316(f318(f904(f899(x100511),f899(x100511))),f316(f316(f241(f899(x100511),f899(x100511)),f316(f316(f141(x100511),x100515),x100512)),x100514)),f148(x100511,x100513)))+P107(f316(f316(f318(f904(f899(x100511),f899(x100511))),f316(f316(f241(f899(x100511),f899(x100511)),x100512),f647(x100513,x100514,x100512,x100515,x100511))),f148(x100511,x100513)))
% 163.96/163.65 [10133]~P107(f316(f316(f318(f904(f899(x101331),f899(x101331))),f316(f316(f241(f899(x101331),f899(x101331)),x101335),f316(f316(f141(x101331),x101334),x101333))),f148(x101331,x101332)))+P107(f316(f316(f318(f904(f899(x101331),f899(x101331))),f316(f316(f241(f899(x101331),f899(x101331)),f645(x101332,x101333,x101334,x101335,x101331)),x101333)),f148(x101331,x101332)))
% 163.96/163.65 [10326]P107(f316(f316(f318(f904(x103261,x103261)),f316(f316(f241(x103261,x103261),f316(x103262,f316(f316(f74(a898),x103263),x103264))),f316(x103262,x103263))),f296(x103261,x103265)))+~P107(f316(f316(f318(f904(x103261,x103261)),f316(f316(f241(x103261,x103261),f316(x103262,f316(a102,f605(x103264,x103263,x103265,x103262,x103261)))),f316(x103262,f605(x103264,x103263,x103265,x103262,x103261)))),f296(x103261,x103265)))
% 163.96/163.65 [5319]E(x53191,x53192)+~E(f316(f316(f141(x53193),x53194),x53191),f316(f316(f141(x53193),x53195),x53192))
% 163.96/163.65 [5320]E(x53201,x53202)+~E(f316(f316(f141(x53203),x53201),x53204),f316(f316(f141(x53203),x53202),x53205))
% 163.96/163.65 [5362]P107(f316(x53621,x53622))+~E(f316(f126(x53623,x53621),x53624),f316(f316(f141(x53623),x53622),x53625))
% 163.96/163.65 [5363]P107(f316(x53631,x53632))+~E(f316(f316(f141(x53633),x53632),x53634),f316(f126(x53633,x53631),x53635))
% 163.96/163.65 [5523]~E(f316(f316(f128(x55231),x55233),x55232),f316(f316(f141(x55231),x55234),x55235))+E(f316(f316(f154(x55231),x55232),x55233),x55234)
% 163.96/163.65 [5664]~P11(x56644,x56645,x56641)+E(f316(f316(x56641,x56642),f316(f316(x56641,x56642),x56643)),f316(f316(x56641,x56642),x56643))
% 163.96/163.65 [6225]~E(x62254,f2(a89))+E(f316(f316(f107(x62251,x62252,x62253),x62254),x62255),f316(f316(f241(f899(x62252),x62251),f103(x62252)),x62255))
% 163.96/163.65 [6298]~P108(x62982)+~E(f316(f316(f138(x62981,x62982,x62983),x62984),x62985),f103(x62981))
% 163.96/163.65 [6693]E(x66931,x66932)+~E(f316(f316(f124(x66933),x66934),f316(f316(f141(x66933),x66931),f103(x66933))),f316(f316(f124(x66933),x66935),f316(f316(f141(x66933),x66932),f103(x66933))))
% 163.96/163.65 [6694]E(x66941,x66942)+~E(f316(f316(f124(x66943),x66941),f316(f316(f141(x66943),x66944),f103(x66943))),f316(f316(f124(x66943),x66942),f316(f316(f141(x66943),x66945),f103(x66943))))
% 163.96/163.65 [7014]E(f316(f316(f298(x70141),f316(x70142,x70143)),f316(f299(x70144,x70141,x70142),x70145)),f316(f299(x70144,x70141,x70142),x70145))+~P107(f316(f316(f318(x70144),x70143),x70145))
% 163.96/163.65 [7021]~P107(f316(x70214,f316(x70213,x70215)))+P107(f316(f316(f300(x70211,x70212,x70213),x70214),x70215))
% 163.96/163.65 [7024]~P107(f316(f316(x70243,x70245),x70244))+P107(f316(f316(f232(x70241,x70242,x70243),x70244),x70245))
% 163.96/163.65 [7121]~E(f316(f299(x71211,x71212,x71213),x71214),x71215)+E(f316(f299(f905(x71211,a895),f905(x71212,a895),f299(x71211,x71212,x71213)),f316(f297(x71211),x71214)),f316(f297(x71212),x71215))
% 163.96/163.65 [7150]E(f316(f260(x71501,x71502,x71503,x71504),x71505),f316(x71504,x71505))+~P107(f316(f316(f318(x71501),x71505),x71503))
% 163.96/163.65 [7465]P22(x74651,x74652,x74653,x74654)+~P22(x74651,x74652,x74653,f316(f316(f298(x74651),x74655),x74654))
% 163.96/163.65 [7571]~P107(f316(f316(f318(x75714),x75713),x75715))+P107(f316(f316(f318(x75711),f316(x75712,x75713)),f316(f299(x75714,x75711,x75712),x75715)))
% 163.96/163.65 [7592]~P108(x75922)+E(f140(x75921,x75922,x75923,f316(f126(x75921,x75924),x75925)),f316(f126(x75921,x75924),f140(x75921,x75922,x75923,x75925)))
% 163.96/163.65 [7623]P107(f316(x76231,f316(x76232,x76233)))+~P107(f316(f316(f300(x76234,x76235,x76232),x76231),x76233))
% 163.96/163.65 [7626]P107(f316(f316(x76261,x76262),x76263))+~P107(f316(f316(f232(x76264,x76265,x76261),x76263),x76262))
% 163.96/163.65 [7690]~P107(f316(f316(f318(x76903),f316(x76904,x76902)),x76905))+P107(f316(f316(f318(x76901),x76902),f316(f300(x76901,x76903,x76904),x76905)))
% 163.96/163.65 [8089]~P107(f316(f316(f318(x80895),x80893),f316(f300(x80895,x80891,x80892),x80894)))+P107(f316(f316(f318(x80891),f316(x80892,x80893)),x80894))
% 163.96/163.65 [8388]~P13(x83882,x83881,x83883)+E(f316(f132(x83881,x83882,f316(f7(x83882,x83881,x83881),x83883),x83884),f142(x83882,x83885)),f316(f316(f57(x83882,x83881,x83883),x83884),f316(f162(x83882),x83885)))
% 163.96/163.65 [8410]E(f316(x84101,f868(x84102,x84101,x84103,x84104)),x84104)+~P107(f316(f316(f318(x84105),x84104),f316(f299(x84103,x84105,x84101),x84102)))
% 163.96/163.65 [8713]~E(x87132,f316(f316(f141(x87131),x87134),x87135))+P107(f316(f316(f318(f904(f899(x87131),f899(x87131))),f316(f316(f241(f899(x87131),f899(x87131)),f103(x87131)),x87132)),f137(x87131,x87133)))
% 163.96/163.65 [8761]E(f316(x87611,f316(f85(x87612,x87613,x87614,x87611),x87615)),x87615)+~P107(f316(f316(f318(x87613),x87615),f316(f299(x87612,x87613,x87611),x87614)))
% 163.96/163.65 [8764]P22(x87641,x87642,f85(x87642,x87641,x87643,x87644),x87645)+~P107(f316(f316(f224(f905(x87641,a895)),x87645),f316(f299(x87642,x87641,x87644),x87643)))
% 163.96/163.65 [8771]~P33(x87711,x87713,x87715,x87712,x87714)+E(f316(f179(f899(x87711)),x87712),f316(f179(f899(x87713)),x87714))
% 163.96/163.65 [8782]P107(f316(f316(f224(f905(x87821,a895)),f316(f316(f32(x87822,f905(x87821,a895)),x87823),x87824)),f316(x87824,x87825)))+~P107(f316(f316(f318(x87822),x87825),x87823))
% 163.96/163.65 [8837]~P55(x88371,x88372,x88373,x88375,x88374)+E(f316(f299(x88371,x88372,x88373),f231(f905(x88371,a895))),x88374)
% 163.96/163.65 [9064]E(f316(f126(x90641,x90642),f733(x90643,x90644,x90645,x90642,x90641)),x90643)+~E(f316(f126(x90641,x90642),x90645),f316(f316(f141(x90641),x90644),x90643))
% 163.96/163.65 [9065]E(f316(f126(x90651,x90652),f737(x90653,x90652,x90654,x90655,x90651)),x90654)+~E(f316(f316(f141(x90651),x90655),x90654),f316(f126(x90651,x90652),x90653))
% 163.96/163.65 [9158]E(f316(f179(f899(x91581)),x91582),x91583)+~P107(f316(f316(f318(f904(f899(x91581),f899(x91581))),f316(f316(f241(f899(x91581),f899(x91581)),x91584),x91582)),f316(f133(x91581,x91585),x91583)))
% 163.96/163.65 [9159]E(f316(f179(f899(x91591)),x91592),x91593)+~P107(f316(f316(f318(f904(f899(x91591),f899(x91591))),f316(f316(f241(f899(x91591),f899(x91591)),x91592),x91594)),f316(f133(x91591,x91595),x91593)))
% 163.96/163.65 [9228]P107(f316(f316(f318(x92281),f868(x92282,x92283,x92281,x92284)),x92282))+~P107(f316(f316(f318(x92285),x92284),f316(f299(x92281,x92285,x92283),x92282)))
% 163.96/163.65 [9386]E(f316(f299(x93861,x93862,x93863),f870(x93864,x93863,x93861,x93865,x93862)),x93865)+~P107(f316(f316(f224(f905(x93862,a895)),x93865),f316(f299(x93861,x93862,x93863),x93864)))
% 163.96/163.65 [9704]P107(f316(f316(f318(f904(f899(x97041),f899(x97041))),f316(f316(f241(f899(x97041),f899(x97041)),f316(f316(f141(x97041),x97042),x97043)),f316(f316(f141(x97041),x97042),x97044))),f296(f899(x97041),f147(x97041,x97045))))+~P107(f316(f316(f318(f904(f899(x97041),f899(x97041))),f316(f316(f241(f899(x97041),f899(x97041)),x97043),x97044)),f296(f899(x97041),f147(x97041,x97045))))
% 163.96/163.65 [9735]~E(f316(x97353,f686(x97355,x97354,x97353,x97352,x97351)),f316(x97355,f686(x97355,x97354,x97353,x97352,x97351)))+E(f316(f316(f144(x97351,x97352),x97353),x97354),f316(f316(f144(x97351,x97352),x97355),x97354))
% 163.96/163.65 [9810]~E(f316(f126(x98101,x98105),x98104),f316(f316(f141(x98101),x98103),x98102))+E(f316(f316(f124(x98101),f736(x98102,x98103,x98104,x98105,x98101)),f316(f316(f141(x98101),x98103),f733(x98102,x98103,x98104,x98105,x98101))),x98104)
% 163.96/163.65 [9811]~E(f316(f316(f141(x98111),x98115),x98114),f316(f126(x98111,x98113),x98112))+E(f316(f316(f124(x98111),f738(x98112,x98113,x98114,x98115,x98111)),f316(f316(f141(x98111),x98115),f737(x98112,x98113,x98114,x98115,x98111))),x98112)
% 163.96/163.65 [9815]E(f316(f316(f144(x98151,x98152),x98153),x98154),f316(f316(f144(x98151,x98152),x98155),x98154))+P107(f316(f316(f318(x98151),f686(x98153,x98154,x98155,x98152,x98151)),f316(f162(x98151),x98154)))
% 163.96/163.65 [9847]~P107(f316(f316(f318(x98475),x98474),f316(f274(x98471,x98475,x98473),x98472)))+P107(f316(f316(f318(x98471),f758(x98472,x98473,x98471,x98474,x98475)),x98472))
% 163.96/163.65 [9848]~P107(f316(f316(f318(x98485),x98484),f316(f274(x98481,x98485,x98483),x98482)))+P107(f316(f316(f318(x98481),f769(x98482,x98483,x98481,x98484,x98485)),x98482))
% 163.96/163.65 [9878]~P107(f316(f316(f224(f905(x98785,a895)),x98784),f316(f299(x98781,x98785,x98783),x98782)))+P107(f316(f316(f224(f905(x98781,a895)),f870(x98782,x98783,x98781,x98784,x98785)),x98782))
% 163.96/163.65 [10327]E(x103271,f2(a89))+E(f213(f904(f899(x103272),x103273),f904(x103272,x103273),f316(f316(f241(f899(x103272),x103273),f103(x103272)),x103274),f316(f246(x103272,x103273,f904(f899(x103272),x103273)),f316(f316(f7(x103272,f905(x103273,f904(f899(x103272),x103273)),f905(x103273,f904(f899(x103272),x103273))),f316(f316(f8(f905(f904(f899(x103272),x103273),f904(f899(x103272),x103273)),f905(f905(x103273,f904(f899(x103272),x103273)),f905(x103273,f904(f899(x103272),x103273))),x103272),f8(f904(f899(x103272),x103273),f904(f899(x103272),x103273),x103273)),f316(f316(f8(f905(f899(x103272),f905(x103273,f904(f899(x103272),x103273))),f905(f904(f899(x103272),x103273),f904(f899(x103272),x103273)),x103272),f246(f899(x103272),x103273,f904(f899(x103272),x103273))),f316(f316(f8(f905(f899(x103272),f899(x103272)),f905(f899(x103272),f905(x103273,f904(f899(x103272),x103273))),x103272),f316(f8(f899(x103272),f905(x103273,f904(f899(x103272),x103273)),f899(x103272)),f241(f899(x103272),x103273))),f141(x103272))))),f316(f107(x103273,x103272,x103275),f316(f316(f23(a89),x103271),f72(a89))))),f316(x103275,x103274)),f316(f316(f107(x103273,x103272,x103275),x103271),x103274))
% 163.96/163.65 [6102]E(x61021,x61022)+~E(f316(f245(x61023,x61024),f316(f316(f241(x61023,x61024),x61025),x61021)),x61022)
% 163.96/163.65 [6103]E(x61031,x61032)+~E(f316(f240(x61033,x61034),f316(f316(f241(x61033,x61034),x61031),x61035)),x61032)
% 163.96/163.65 [6373]~E(x63733,f316(f316(f124(x63731),x63734),f316(f316(f141(x63731),x63732),x63735)))+P107(f316(f316(f318(x63731),x63732),f316(f162(x63731),x63733)))
% 163.96/163.65 [6780]E(f316(f299(x67801,x67802,f316(f16(x67802,x67801),x67803)),x67804),f316(f316(f298(x67802),x67803),f178(f905(x67802,a895))))+~P107(f316(f316(f318(x67801),x67805),x67804))
% 163.96/163.65 [6854]E(f316(f316(f100(f905(x68541,a895)),f316(f162(x68541),x68542)),f316(f162(x68541),x68543)),f316(f162(x68541),x68544))+~E(f156(x68541,x68545,x68544),f316(f316(f241(f899(x68541),f899(x68541)),x68542),x68543))
% 163.96/163.65 [6955]~P108(x69552)+E(f316(f179(f899(x69551)),f316(f316(f138(x69551,x69552,x69553),x69554),x69555)),f316(a102,f316(f179(f899(x69551)),x69555)))
% 163.96/163.65 [6969]~P108(x69692)+E(f316(f162(x69691),f316(f316(f138(x69691,x69692,x69693),x69694),x69695)),f316(f316(f298(x69691),x69694),f316(f162(x69691),x69695)))
% 163.96/163.65 [7244]~P117(x72441)+E(f316(f316(f75(x72441),f316(f316(f75(x72441),x72442),x72443)),f316(f316(f75(x72441),x72444),x72445)),f316(f316(f75(x72441),f316(f316(f75(x72441),x72442),x72444)),f316(f316(f75(x72441),x72443),x72445)))
% 163.96/163.65 [7245]~P117(x72451)+E(f316(f316(f74(x72451),f316(f316(f74(x72451),x72452),x72453)),f316(f316(f74(x72451),x72454),x72455)),f316(f316(f74(x72451),f316(f316(f74(x72451),x72452),x72454)),f316(f316(f74(x72451),x72453),x72455)))
% 163.96/163.65 [7246]~P65(x72461)+E(f316(f316(f280(x72461),f316(f316(f75(x72461),x72462),x72463)),f316(f316(f75(x72461),x72464),x72465)),f316(f316(f75(x72461),f316(f316(f280(x72461),x72462),x72464)),f316(f316(f280(x72461),x72463),x72465)))
% 163.96/163.65 [7260]~P108(x72601)+E(f295(x72601,f316(f316(f223(x72601),x72602),x72603),f316(f316(f222(x72601),x72604),x72605)),f316(f316(f91(f905(x72601,a895)),f295(x72601,x72602,x72604)),f295(x72601,x72603,x72605)))
% 163.96/163.65 [7261]~P108(x72611)+E(f294(x72611,f316(f316(f223(x72611),x72612),x72613),f316(f316(f222(x72611),x72614),x72615)),f316(f316(f91(f905(x72611,a895)),f294(x72611,x72612,x72614)),f294(x72611,x72613,x72615)))
% 163.96/163.65 [7262]~P108(x72621)+E(f292(x72621,f316(f316(f223(x72621),x72622),x72623),f316(f316(f222(x72621),x72624),x72625)),f316(f316(f91(f905(x72621,a895)),f292(x72621,x72622,x72624)),f292(x72621,x72623,x72625)))
% 163.96/163.65 [7263]~P108(x72631)+E(f316(f316(f91(f905(x72631,a895)),f316(f291(x72631,x72632),x72633)),f316(f291(x72631,x72634),x72635)),f316(f291(x72631,f316(f316(f223(x72631),x72632),x72634)),f316(f316(f222(x72631),x72633),x72635)))
% 163.96/163.65 [7385]~P107(f316(x73851,f349(x73853,x73852,x73851)))+P107(f316(x73851,f316(f316(f241(x73852,x73853),x73854),x73855)))
% 163.96/163.65 [7496]~E(x74962,f316(x74964,x74965))+P107(f316(f316(f318(x74961),x74962),f316(f299(x74963,x74961,x74964),f231(f905(x74963,a895)))))
% 163.96/163.65 [7568]~P11(x75683,x75682,x75684)+P11(x75681,x75682,f316(f316(f8(x75683,f905(x75682,x75682),x75681),x75684),x75685))
% 163.96/163.65 [7569]~P13(x75693,x75692,x75694)+P13(x75691,x75692,f316(f316(f8(x75693,f905(x75692,x75692),x75691),x75694),x75695))
% 163.96/163.65 [7707]~P22(x77071,x77072,x77073,x77074)+P22(x77071,x77072,x77073,f316(f316(f23(f905(x77071,a895)),x77074),x77075))
% 163.96/163.65 [7864]~P107(f316(f316(x78643,x78644),x78645))+P107(f316(f316(f246(x78641,x78642,a895),x78643),f316(f316(f241(x78641,x78642),x78644),x78645)))
% 163.96/163.65 [7980]~P107(f316(x79802,x79804))+~E(f316(f316(f128(x79801),f316(f179(f899(x79801)),f167(x79801,x79802,x79803))),x79803),f316(f316(f141(x79801),x79804),x79805))
% 163.96/163.65 [8000]P22(x80001,x80002,x80003,x80004)+~P22(x80001,x80002,x80003,f316(f316(f100(f905(x80001,a895)),x80005),x80004))
% 163.96/163.65 [8001]P22(x80011,x80012,x80013,x80014)+~P22(x80011,x80012,x80013,f316(f316(f100(f905(x80011,a895)),x80014),x80015))
% 163.96/163.65 [8047]~P108(x80472)+E(f316(f316(f138(x80471,x80472,x80473),x80474),f140(x80471,x80472,x80473,x80475)),f140(x80471,x80472,x80473,f316(f316(f141(x80471),x80474),x80475)))
% 163.96/163.65 [8364]~P11(x83642,x83641,x83643)+E(f316(f132(x83641,x83642,f316(f7(x83642,x83641,x83641),x83643),x83644),x83645),f316(f316(f57(x83642,x83641,x83643),x83644),f316(f162(x83642),x83645)))
% 163.96/163.65 [8393]~E(f316(f316(f128(x83931),f316(f179(f899(x83931)),f167(x83931,x83932,x83933))),x83933),f316(f316(f141(x83931),x83934),x83935))+E(f316(f316(f124(x83931),f167(x83931,x83932,x83933)),f316(f316(f141(x83931),x83934),x83935)),x83933)
% 163.96/163.65 [8420]P107(f316(f316(x84201,x84202),x84203))+~P107(f316(f316(f246(x84204,x84205,a895),x84201),f316(f316(f241(x84204,x84205),x84202),x84203)))
% 163.96/163.65 [8900]P107(f316(f316(f224(f905(x89001,a895)),f316(f300(x89001,x89002,x89003),x89004)),f316(f300(x89001,x89002,x89003),x89005)))+~P107(f316(f316(f224(f905(x89002,a895)),x89004),x89005))
% 163.96/163.65 [8901]P107(f316(f316(f224(f905(x89011,a895)),f316(f299(x89012,x89011,x89013),x89014)),f316(f299(x89012,x89011,x89013),x89015)))+~P107(f316(f316(f224(f905(x89012,a895)),x89014),x89015))
% 163.96/163.65 [8980]E(x89801,f2(a89))+E(f316(f316(f248(x89802,x89803,x89802,f904(x89803,x89802)),f316(x89804,x89805)),f262(x89803,x89802,f316(f316(f23(a89),x89801),f72(a89)),x89804)),f316(f262(x89803,x89802,x89801,x89804),x89805))
% 163.96/163.65 [9091]P107(f316(f316(f244(x90911,x90912,a895,x90913),x90914),x90915))+~P107(f316(x90913,f316(f316(f241(x90911,x90912),x90914),x90915)))
% 163.96/163.65 [9365]~P107(f316(f316(f244(x93652,x93653,a895,x93651),x93654),x93655))+P107(f316(x93651,f316(f316(f241(x93652,x93653),x93654),x93655)))
% 163.96/163.65 [9547]~P107(f316(f316(f318(x95472),x95475),f316(f299(x95471,x95472,x95474),x95473)))+P107(f316(f316(f318(x95471),f316(f85(x95471,x95472,x95473,x95474),x95475)),x95473))
% 163.96/163.65 [9646]~P107(f316(f54(x96463),f316(f299(x96462,x96463,x96465),f231(f905(x96462,a895)))))+P107(f316(f54(x96461),f316(f299(x96462,x96461,f316(f316(f8(x96463,x96461,x96462),x96464),x96465)),f231(f905(x96462,a895)))))
% 163.96/163.65 [9671]P107(f316(f316(f224(f905(f905(x96711,a895),a895)),f316(f299(f905(x96712,a895),f905(x96711,a895),f299(x96712,x96711,x96713)),f316(f297(x96712),x96714))),f316(f297(x96711),x96715)))+~P107(f316(f316(f224(f905(x96711,a895)),f316(f299(x96712,x96711,x96713),x96714)),x96715))
% 163.96/163.65 [9743]E(x97431,x97432)+~P107(f316(f59(x97433,x97434,x97435,x97431,f178(f905(x97433,a895))),x97432))
% 163.96/163.65 [9759]E(f316(f316(f241(x97591,x97592),f476(x97593,x97594,x97595,x97592,x97591)),f477(x97593,x97594,x97595,x97592,x97591)),x97595)+~P107(f316(f316(f318(f904(x97591,x97592)),x97595),f316(f316(f243(x97591,x97592),x97594),x97593)))
% 163.96/163.65 [9853]P107(f316(f316(f318(x98531),f476(x98532,x98533,x98534,x98535,x98531)),x98533))+~P107(f316(f316(f318(f904(x98531,x98535)),x98534),f316(f316(f243(x98531,x98535),x98533),x98532)))
% 163.96/163.65 [10010]P107(f316(f316(f318(x100101),f477(x100102,x100103,x100104,x100101,x100105)),f316(x100102,f476(x100102,x100103,x100104,x100101,x100105))))+~P107(f316(f316(f318(f904(x100105,x100101)),x100104),f316(f316(f243(x100105,x100101),x100103),x100102)))
% 163.96/163.65 [10030]P107(f316(f316(f318(f904(x100301,x100301)),f316(f316(f241(x100301,x100301),x100302),f618(x100303,x100304,x100305,x100302,x100301))),x100303))+~P107(f316(f316(f318(f904(x100301,x100301)),f316(f316(f241(x100301,x100301),x100302),x100305)),f316(f316(f173(f904(x100301,x100301),a895),f316(a102,x100304)),x100303)))
% 163.96/163.65 [10031]P107(f316(f316(f318(f904(x100311,x100311)),f316(f316(f241(x100311,x100311),x100312),f619(x100313,x100314,x100315,x100312,x100311))),x100313))+~P107(f316(f316(f318(f904(x100311,x100311)),f316(f316(f241(x100311,x100311),x100312),x100315)),f316(f316(f173(f904(x100311,x100311),a895),f316(a102,x100314)),x100313)))
% 163.96/163.65 [10048]~P107(f316(f316(f318(f904(f899(x100481),f899(x100481))),f316(f316(f241(f899(x100481),f899(x100481)),f316(f316(f141(x100481),x100482),x100485)),x100484)),f148(x100481,x100483)))+P107(f316(f316(f318(f904(x100481,x100481)),f316(f316(f241(x100481,x100481),x100482),f646(x100483,x100484,x100485,x100482,x100481))),x100483))
% 163.96/163.65 [6452]P107(f316(x64522,x64524))+E(f167(x64521,x64522,f316(f316(f124(x64521),x64523),f316(f316(f141(x64521),x64524),x64525))),f167(x64521,x64522,x64523))
% 163.96/163.65 [6501]~P59(x65012)+E(f316(f316(f316(f23(f905(x65011,x65012)),x65013),x65014),x65015),f316(f316(f23(x65012),f316(x65013,x65015)),f316(x65014,x65015)))
% 163.96/163.65 [6503]~P84(x65032)+E(f316(f316(f316(f100(f905(x65031,x65032)),x65033),x65034),x65035),f316(f316(f100(x65032),f316(x65033,x65035)),f316(x65034,x65035)))
% 163.96/163.65 [6505]~P84(x65052)+E(f316(f316(f316(f91(f905(x65051,x65052)),x65053),x65054),x65055),f316(f316(f91(x65052),f316(x65053,x65055)),f316(x65054,x65055)))
% 163.96/163.65 [6525]E(x65251,x65252)+E(f316(f316(f154(x65253),f316(f316(f149(x65253,x65254),x65251),x65255)),x65252),f316(f316(f154(x65253),x65254),x65252))
% 163.96/163.65 [6798]~E(x67984,f178(f905(x67983,a895)))+E(f316(f316(f23(f905(x67981,a895)),x67982),f316(f316(f33(x67983,f905(x67981,a895)),x67984),x67985)),x67982)
% 163.96/163.65 [6799]~E(x67994,f178(f905(x67993,a895)))+E(f316(f316(f100(f905(x67991,a895)),x67992),f316(f316(f33(x67993,f905(x67991,a895)),x67994),x67995)),x67992)
% 163.96/163.65 [6800]~E(x68004,f178(f905(x68003,a895)))+E(f316(f316(f91(f905(x68001,a895)),x68002),f316(f316(f32(x68003,f905(x68001,a895)),x68004),x68005)),x68002)
% 163.96/163.65 [6816]~E(x68164,f178(f905(x68163,a895)))+E(f316(f316(f298(x68161),x68162),f316(f316(f33(x68163,f905(x68161,a895)),x68164),x68165)),f316(f316(f298(x68161),x68162),f178(f905(x68161,a895))))
% 163.96/163.65 [7615]E(f316(f316(f154(x76151),f316(f316(f144(x76152,x76151),x76153),x76154)),x76155),f316(x76153,f316(f316(f154(x76152),x76154),x76155)))+~P107(f316(f316(f225(a898),x76155),f316(f179(f899(x76152)),x76154)))
% 163.96/163.65 [7678]E(f316(f316(f100(f905(x76781,a895)),f316(x76782,x76783)),f316(f316(f33(x76784,f905(x76781,a895)),x76785),x76782)),f316(f316(f33(x76784,f905(x76781,a895)),x76785),x76782))+~P107(f316(f316(f318(x76784),x76783),x76785))
% 163.96/163.65 [7679]E(f316(f316(f91(f905(x76791,a895)),f316(x76792,x76793)),f316(f316(f32(x76794,f905(x76791,a895)),x76795),x76792)),f316(f316(f32(x76794,f905(x76791,a895)),x76795),x76792))+~P107(f316(f316(f318(x76794),x76793),x76795))
% 163.96/163.65 [8287]~E(x82873,f178(f905(x82871,a895)))+E(f316(f316(f33(x82871,f905(x82872,a895)),x82873),f316(f316(f8(f905(x82872,a895),f905(x82872,a895),x82871),f316(f298(x82872),x82874)),x82875)),f178(f905(x82872,a895)))
% 163.96/163.65 [8292]~P107(f316(f316(f318(x82924),x82923),x82925))+P107(f316(f316(f224(f905(x82921,a895)),f316(x82922,x82923)),f316(f316(f33(x82924,f905(x82921,a895)),x82925),x82922)))
% 163.96/163.65 [8419]~E(f316(x84194,x84192),x84195)+P107(f316(f316(f318(x84191),x84192),f316(f300(x84191,x84193,x84194),f316(f316(f298(x84193),x84195),f178(f905(x84193,a895))))))
% 163.96/163.65 [8466]~P51(x84661,x84662,f316(f275(x84662,x84661),x84663))+E(f316(f316(f91(f905(x84661,a895)),f316(f274(x84662,x84661,x84663),x84664)),f316(f274(x84662,x84661,x84663),x84665)),f316(f274(x84662,x84661,x84663),f316(f316(f91(f905(x84662,a895)),x84664),x84665)))
% 163.96/163.65 [8541]E(x85411,f2(a89))+E(f316(f108(x85412,x85413,f316(x85414,f316(f316(f23(a89),x85411),f72(a89)))),f316(f316(f7(x85412,a89,f900(x85413)),x85415),x85411)),f316(f188(x85412,x85413,x85414,x85415),x85411))
% 163.96/163.65 [8579]E(x85791,f178(f905(x85792,a895)))+E(f316(f316(f33(x85792,f905(x85793,a895)),x85791),f316(f316(f8(f905(x85793,a895),f905(x85793,a895),x85792),f316(f298(x85793),x85794)),x85795)),f316(f316(f298(x85793),x85794),f316(f316(f33(x85792,f905(x85793,a895)),x85791),x85795)))
% 163.96/163.65 [8629]~P22(x86292,x86291,x86293,f231(f905(x86292,a895)))+E(f316(f316(f23(f905(x86291,a895)),f316(f299(x86292,x86291,x86293),x86294)),f316(f299(x86292,x86291,x86293),x86295)),f316(f299(x86292,x86291,x86293),f316(f316(f23(f905(x86292,a895)),x86294),x86295)))
% 163.96/163.65 [8630]~P22(x86302,x86301,x86303,f231(f905(x86302,a895)))+E(f316(f316(f91(f905(x86301,a895)),f316(f299(x86302,x86301,x86303),x86304)),f316(f299(x86302,x86301,x86303),x86305)),f316(f299(x86302,x86301,x86303),f316(f316(f91(f905(x86302,a895)),x86304),x86305)))
% 163.96/163.65 [8700]~P107(f316(f316(f60(x87001,x87002,x87005),x87003),x87004))+P107(f316(f316(f318(f904(x87001,x87002)),f316(f316(f241(x87001,x87002),x87003),x87004)),x87005))
% 163.96/163.65 [8733]P107(f316(f316(f318(x87331),x87332),f316(f273(x87333,x87331),x87334)))+~P107(f316(f316(f318(f904(x87333,x87331)),f316(f316(f241(x87333,x87331),x87335),x87332)),x87334))
% 163.96/163.65 [8735]P107(f316(f316(f318(x87351),x87352),f316(f253(x87351,x87353),x87354)))+~P107(f316(f316(f318(f904(x87351,x87353)),f316(f316(f241(x87351,x87353),x87352),x87355)),x87354))
% 163.96/163.65 [8884]P107(f316(f316(f60(x88841,x88842,x88843),x88844),x88845))+~P107(f316(f316(f318(f904(x88841,x88842)),f316(f316(f241(x88841,x88842),x88844),x88845)),x88843))
% 163.96/163.65 [8923]E(f316(x89231,x89232),x89233)+~P107(f316(f316(f318(x89234),x89232),f316(f300(x89234,x89235,x89231),f316(f316(f298(x89235),x89233),f178(f905(x89235,a895))))))
% 163.96/163.65 [9155]P107(f316(f316(f318(f904(x91551,x91552)),f316(f316(f241(x91551,x91552),x91553),x91554)),f316(f275(x91552,x91551),x91555)))+~P107(f316(f316(f318(f904(x91552,x91551)),f316(f316(f241(x91552,x91551),x91554),x91553)),x91555))
% 163.96/163.65 [9173]~P107(f316(f316(x91731,x91735),x91734))+P107(f316(f316(x91731,f316(f245(x91732,x91733),f316(f316(f241(x91732,x91733),x91734),x91735))),f316(f240(x91732,x91733),f316(f316(f241(x91732,x91733),x91734),x91735))))
% 163.96/163.65 [9203]~P107(f316(f316(f318(f904(x92032,x92031)),f316(f316(f241(x92032,x92031),x92034),x92033)),f316(f275(x92031,x92032),x92035)))+P107(f316(f316(f318(f904(x92031,x92032)),f316(f316(f241(x92031,x92032),x92033),x92034)),x92035))
% 163.96/163.65 [9235]~P107(f316(f316(f318(f904(x92353,x92351)),f316(f316(f241(x92353,x92351),x92355),x92352)),x92354))+P107(f316(f316(f318(x92351),x92352),f316(f274(x92353,x92351,x92354),f316(f316(f298(x92353),x92355),f178(f905(x92353,a895))))))
% 163.96/163.65 [9282]P107(f316(f316(f318(f904(x92821,x92822)),f316(f316(f241(x92821,x92822),x92823),x92824)),x92825))+~P107(f316(f316(f318(x92822),x92824),f316(f274(x92821,x92822,x92825),f316(f316(f298(x92821),x92823),f178(f905(x92821,a895))))))
% 163.96/163.65 [9372]~P76(x93721)+E(f316(f316(f6(a898,x93721),x93722),f292(a898,f316(f316(f74(a898),x93723),x93724),f316(f316(f74(a898),x93725),x93724))),f316(f316(f6(a898,x93721),f316(f316(f8(a898,x93721,a898),x93722),f316(f316(f7(a898,a898,a898),f74(a898)),x93724))),f292(a898,x93723,x93725)))
% 163.96/163.65 [9391]~P76(x93911)+E(f316(f316(f6(a898,x93911),x93912),f316(f291(a898,f316(f316(f74(a898),x93913),x93914)),f316(f316(f74(a898),x93915),x93914))),f316(f316(f6(a898,x93911),f316(f316(f8(a898,x93911,a898),x93912),f316(f316(f7(a898,a898,a898),f74(a898)),x93914))),f316(f291(a898,x93913),x93915)))
% 163.96/163.65 [9449]~P22(x94491,x94492,x94493,f231(f905(x94491,a895)))+E(f316(f316(f144(x94491,x94492),x94493),f316(f126(x94491,f316(f316(f8(a895,a895,x94491),a311),f316(a313,x94494))),x94495)),f316(f126(x94492,f316(f316(f8(a895,a895,x94492),a311),f316(a313,f316(x94493,x94494)))),f316(f316(f144(x94491,x94492),x94493),x94495)))
% 163.96/163.65 [9467]~P22(x94671,x94672,x94673,f316(f316(f298(x94671),x94674),f316(f162(x94671),x94675)))+E(f316(f316(f144(x94671,x94672),x94673),f316(f126(x94671,f316(f316(f8(a895,a895,x94671),a311),f316(a313,x94674))),x94675)),f316(f126(x94672,f316(f316(f8(a895,a895,x94672),a311),f316(a313,f316(x94673,x94674)))),f316(f316(f144(x94671,x94672),x94673),x94675)))
% 163.96/163.65 [9634]P107(f316(f316(f318(f904(f899(x96341),f899(x96341))),f316(f316(f241(f899(x96341),f899(x96341)),f316(f316(f141(x96341),x96342),x96343)),f316(f316(f141(x96341),x96344),x96343))),f147(x96341,x96345)))+~P107(f316(f316(f318(f904(x96341,x96341)),f316(f316(f241(x96341,x96341),x96342),x96344)),x96345))
% 163.96/163.65 [9754]E(f316(f316(f298(x97541),f881(x97542,x97543,x97544,x97545,x97541)),f882(x97542,x97543,x97544,x97545,x97541)),f316(f316(f298(x97541),x97544),x97543))+~P107(f316(f55(x97541,x97545,f316(f316(f298(x97541),x97544),x97543)),x97542))
% 163.96/163.65 [9755]E(f316(f316(f298(x97551),f883(x97552,x97553,x97554,x97555,x97551)),f884(x97552,x97553,x97554,x97555,x97551)),f316(f316(f298(x97551),x97554),x97553))+~P107(f316(f55(x97551,x97555,f316(f316(f298(x97551),x97554),x97553)),x97552))
% 163.96/163.65 [9837]P107(f316(f316(f318(x98371),f411(x98372,x98373,x98374,x98375,x98371)),x98374))+P107(f316(f316(f316(f32(x98371,f905(x98375,a895)),x98374),x98373),x98372))
% 163.96/163.65 [9842]P107(f316(f316(f318(x98421),f357(x98422,x98423,x98421,x98424,x98425)),x98423))+P107(f316(f316(f318(x98425),x98424),f316(f316(f32(x98421,f905(x98425,a895)),x98423),x98422)))
% 163.96/163.65 [9851]P107(f316(f316(f318(x98511),f447(x98512,x98513,x98511,x98514,x98515)),x98513))+P107(f316(f316(f224(f905(x98515,a895)),x98514),f316(f316(f32(x98511,f905(x98515,a895)),x98513),x98512)))
% 163.96/163.65 [9852]P107(f316(f316(f318(x98521),f532(x98522,x98523,x98524,x98525,x98521)),x98525))+P107(f316(f316(f224(f905(x98524,a895)),x98523),f316(f316(f32(x98521,f905(x98524,a895)),x98525),x98522)))
% 163.96/163.65 [9854]P107(f316(f316(x98541,f456(x98542,x98541,x98543,x98544,x98545)),x98542))+~P107(f316(f316(f316(f33(x98545,f905(x98544,a895)),x98543),x98541),x98542))
% 163.96/163.65 [9858]P107(f316(f316(f318(x98581),f456(x98582,x98583,x98584,x98585,x98581)),x98584))+~P107(f316(f316(f316(f33(x98581,f905(x98585,a895)),x98584),x98583),x98582))
% 163.96/163.65 [9859]P52(x98594,f316(f316(f32(x98591,f905(x98594,a895)),x98595),x98593),f316(f316(f32(x98591,f905(f904(x98594,x98594),a895)),x98595),x98592))+P107(f316(f316(f318(x98591),f770(x98592,x98593,x98594,x98595,x98591)),x98595))
% 163.96/163.65 [9860]P52(x98604,f316(f316(f33(x98601,f905(x98604,a895)),x98605),x98603),f316(f316(f33(x98601,f905(f904(x98604,x98604),a895)),x98605),x98602))+P107(f316(f316(f318(x98601),f823(x98602,x98603,x98604,x98605,x98601)),x98605))
% 163.96/163.65 [9870]P107(f316(f316(f318(x98701),f346(x98702,x98703,x98701,x98704,x98705)),x98703))+~P107(f316(f316(f318(x98705),x98704),f316(f316(f33(x98701,f905(x98705,a895)),x98703),x98702)))
% 163.96/163.65 [9876]P107(f316(f316(f318(x98761),x98762),f316(x98763,f346(x98763,x98764,x98765,x98762,x98761))))+~P107(f316(f316(f318(x98761),x98762),f316(f316(f33(x98765,f905(x98761,a895)),x98764),x98763)))
% 163.96/163.65 [9959]~P107(f316(f316(x99594,f411(x99595,x99594,x99593,x99592,x99591)),x99595))+P107(f316(f316(f316(f32(x99591,f905(x99592,a895)),x99593),x99594),x99595))
% 163.96/163.65 [9962]~P107(f316(f316(f318(x99621),x99622),f316(x99625,f357(x99625,x99624,x99623,x99622,x99621))))+P107(f316(f316(f318(x99621),x99622),f316(f316(f32(x99623,f905(x99621,a895)),x99624),x99625)))
% 163.96/163.65 [9966]~P52(x99661,f316(x99664,f770(x99665,x99664,x99661,x99663,x99662)),f316(x99665,f770(x99665,x99664,x99661,x99663,x99662)))+P52(x99661,f316(f316(f32(x99662,f905(x99661,a895)),x99663),x99664),f316(f316(f32(x99662,f905(f904(x99661,x99661),a895)),x99663),x99665))
% 163.96/163.65 [9967]~P52(x99671,f316(x99674,f823(x99675,x99674,x99671,x99673,x99672)),f316(x99675,f823(x99675,x99674,x99671,x99673,x99672)))+P52(x99671,f316(f316(f33(x99672,f905(x99671,a895)),x99673),x99674),f316(f316(f33(x99672,f905(f904(x99671,x99671),a895)),x99673),x99675))
% 163.96/163.65 [9968]~P107(f316(f316(f224(f905(x99681,a895)),x99682),f316(x99685,f447(x99685,x99684,x99683,x99682,x99681))))+P107(f316(f316(f224(f905(x99681,a895)),x99682),f316(f316(f32(x99683,f905(x99681,a895)),x99684),x99685)))
% 163.96/163.65 [9969]~P107(f316(f316(f224(f905(x99691,a895)),x99692),f316(x99695,f532(x99695,x99692,x99691,x99694,x99693))))+P107(f316(f316(f224(f905(x99691,a895)),x99692),f316(f316(f32(x99693,f905(x99691,a895)),x99694),x99695)))
% 163.96/163.65 [10034]~P107(f316(f316(f318(x100341),f881(x100345,x100344,x100343,x100342,x100341)),f882(x100345,x100344,x100343,x100342,x100341)))+~P107(f316(f55(x100341,x100342,f316(f316(f298(x100341),x100343),x100344)),x100345))
% 163.96/163.65 [10035]~P107(f316(f316(f318(x100351),f883(x100355,x100354,x100353,x100352,x100351)),f884(x100355,x100354,x100353,x100352,x100351)))+~P107(f316(f55(x100351,x100352,f316(f316(f298(x100351),x100353),x100354)),x100355))
% 163.96/163.65 [10036]~P107(f316(f316(f318(f904(x100361,x100361)),f316(f316(f241(x100361,x100361),x100362),x100365)),f316(f316(f173(f904(x100361,x100361),a895),f316(a102,x100364)),x100363)))+P107(f316(f316(f318(f904(x100361,x100361)),f316(f316(f241(x100361,x100361),x100362),f620(x100363,x100364,x100365,x100362,x100361))),f316(f316(f173(f904(x100361,x100361),a895),x100364),x100363)))
% 163.96/163.65 [10042]P107(f316(f59(x100421,x100421,x100422,f881(x100423,x100424,x100425,x100422,x100421),f882(x100423,x100424,x100425,x100422,x100421)),x100423))+~P107(f316(f55(x100421,x100422,f316(f316(f298(x100421),x100425),x100424)),x100423))
% 163.96/163.65 [10043]P107(f316(f59(x100431,x100431,x100432,f883(x100433,x100434,x100435,x100432,x100431),f884(x100433,x100434,x100435,x100432,x100431)),x100433))+~P107(f316(f55(x100431,x100432,f316(f316(f298(x100431),x100435),x100434)),x100433))
% 163.96/163.65 [10053]~P108(x100531)+P10(x100531,f316(f316(f144(x100532,x100531),x100533),f316(f126(x100532,f316(f316(f7(x100532,x100531,a895),f316(f316(f8(x100531,f905(x100531,a895),x100532),a313),x100533)),f316(x100534,x100535))),x100535)))
% 163.96/163.65 [10105]~P107(f316(f316(f318(x101052),x101055),f316(f274(x101051,x101052,x101054),x101053)))+P107(f316(f316(f318(f904(x101051,x101052)),f316(f316(f241(x101051,x101052),f758(x101053,x101054,x101051,x101055,x101052)),x101055)),x101054))
% 163.96/163.65 [10106]~P107(f316(f316(f318(x101062),x101065),f316(f274(x101061,x101062,x101064),x101063)))+P107(f316(f316(f318(f904(x101061,x101062)),f316(f316(f241(x101061,x101062),f769(x101063,x101064,x101061,x101065,x101062)),x101065)),x101064))
% 163.96/163.65 [10126]~P107(f316(f316(f318(f904(x101261,x101261)),f316(f316(f241(x101261,x101261),x101265),x101264)),f316(f316(f173(f904(x101261,x101261),a895),f316(a102,x101263)),x101262)))+P107(f316(f316(f318(f904(x101261,x101261)),f316(f316(f241(x101261,x101261),f620(x101262,x101263,x101264,x101265,x101261)),x101264)),x101262))
% 163.96/163.65 [10129]~P107(f316(f316(f318(f904(x101291,x101291)),f316(f316(f241(x101291,x101291),x101295),x101294)),f316(f316(f173(f904(x101291,x101291),a895),f316(a102,x101293)),x101292)))+P107(f316(f316(f318(f904(x101291,x101291)),f316(f316(f241(x101291,x101291),f618(x101292,x101293,x101294,x101295,x101291)),x101294)),f316(f316(f173(f904(x101291,x101291),a895),x101293),x101292)))
% 163.96/163.65 [10130]~P107(f316(f316(f318(f904(x101301,x101301)),f316(f316(f241(x101301,x101301),x101305),x101304)),f316(f316(f173(f904(x101301,x101301),a895),f316(a102,x101303)),x101302)))+P107(f316(f316(f318(f904(x101301,x101301)),f316(f316(f241(x101301,x101301),f619(x101302,x101303,x101304,x101305,x101301)),x101304)),f316(f316(f173(f904(x101301,x101301),a895),x101303),x101302)))
% 163.96/163.65 [10131]~P107(f316(f316(f318(f904(f899(x101311),f899(x101311))),f316(f316(f241(f899(x101311),f899(x101311)),x101315),f316(f316(f141(x101311),x101314),x101313))),f148(x101311,x101312)))+P107(f316(f316(f318(f904(x101311,x101311)),f316(f316(f241(x101311,x101311),f641(x101312,x101313,x101314,x101315,x101311)),x101314)),x101312))
% 163.96/163.65 [7699]~E(x76993,f178(f905(x76992,a895)))+E(f316(f316(f100(f905(x76991,a895)),f316(f316(f33(x76992,f905(x76991,a895)),x76993),x76994)),x76995),x76995)
% 163.96/163.65 [7700]~E(x77003,f178(f905(x77002,a895)))+E(f316(f316(f91(f905(x77001,a895)),f316(f316(f32(x77002,f905(x77001,a895)),x77003),x77004)),x77005),x77005)
% 163.96/163.65 [8129]~E(x81293,f178(f905(x81292,a895)))+E(f316(f316(f23(f905(x81291,a895)),f316(f316(f32(x81292,f905(x81291,a895)),x81293),x81294)),x81295),f316(f316(f23(f905(x81291,a895)),f231(f905(x81291,a895))),x81295))
% 163.96/163.65 [8261]E(f316(f316(f149(x82611,f316(f316(f124(x82611),x82612),x82613)),x82614),x82615),f316(f316(f124(x82611),f316(f316(f149(x82611,x82612),x82614),x82615)),x82613))+~P107(f316(f316(f225(a898),x82614),f316(f179(f899(x82611)),x82612)))
% 163.96/163.65 [8531]E(f316(f316(f154(x85311),f316(f316(f144(a898,x85311),x85312),f129(a898,f316(f291(a898,x85313),x85314)))),x85315),f316(x85312,f316(f316(f74(a898),x85313),x85315)))+~P107(f316(f316(f225(a898),x85315),f316(f316(f23(a898),x85314),x85313)))
% 163.96/163.65 [8545]E(x85451,f2(a89))+E(f112(x85452,x85453,f316(x85454,f316(f316(f23(a89),x85451),f72(a89))),f316(f316(f7(x85452,a89,f900(f902(x85453))),x85455),x85451)),f316(f186(x85452,x85453,x85454,x85455),x85451))
% 163.96/163.65 [8569]~E(x85693,f178(f905(x85691,a895)))+E(f316(f316(f32(x85691,f905(x85692,a895)),x85693),f316(f316(f8(f905(x85692,a895),f905(x85692,a895),x85691),f316(f23(f905(x85692,a895)),x85694)),x85695)),f231(f905(x85692,a895)))
% 163.96/163.65 [8570]~E(x85703,f178(f905(x85701,a895)))+E(f316(f316(f32(x85701,f905(x85702,a895)),x85703),f316(f316(f8(f905(x85702,a895),f905(x85702,a895),x85701),f316(f91(f905(x85702,a895)),x85704)),x85705)),f231(f905(x85702,a895)))
% 163.96/163.65 [8571]~E(x85713,f178(f905(x85711,a895)))+E(f316(f316(f33(x85711,f905(x85712,a895)),x85713),f316(f316(f8(f905(x85712,a895),f905(x85712,a895),x85711),f316(f100(f905(x85712,a895)),x85714)),x85715)),f178(f905(x85712,a895)))
% 163.96/163.65 [8573]~P147(x85732)+E(f316(f316(f6(x85731,x85732),f316(f316(f8(x85732,x85732,x85731),f316(f75(x85732),x85733)),x85734)),x85735),f316(f316(f75(x85732),x85733),f316(f316(f6(x85731,x85732),x85734),x85735)))
% 163.96/163.65 [8868]E(x88681,f178(f905(x88682,a895)))+E(f316(f316(f32(x88682,f905(x88683,a895)),x88681),f316(f316(f8(f905(x88683,a895),f905(x88683,a895),x88682),f316(f23(f905(x88683,a895)),x88684)),x88685)),f316(f316(f23(f905(x88683,a895)),x88684),f316(f316(f33(x88682,f905(x88683,a895)),x88681),x88685)))
% 163.96/163.65 [8869]E(x88691,f178(f905(x88692,a895)))+E(f316(f316(f32(x88692,f905(x88693,a895)),x88691),f316(f316(f8(f905(x88693,a895),f905(x88693,a895),x88692),f316(f91(f905(x88693,a895)),x88694)),x88695)),f316(f316(f91(f905(x88693,a895)),x88694),f316(f316(f32(x88692,f905(x88693,a895)),x88691),x88695)))
% 163.96/163.65 [8870]E(x88701,f178(f905(x88702,a895)))+E(f316(f316(f33(x88702,f905(x88703,a895)),x88701),f316(f316(f8(f905(x88703,a895),f905(x88703,a895),x88702),f316(f100(f905(x88703,a895)),x88704)),x88705)),f316(f316(f100(f905(x88703,a895)),x88704),f316(f316(f33(x88702,f905(x88703,a895)),x88701),x88705)))
% 163.96/163.65 [9073]~P107(f316(f316(f225(a898),f316(x90734,x90732)),f316(x90734,x90733)))+P107(f316(f316(f318(f904(x90731,x90731)),f316(f316(f241(x90731,x90731),x90732),x90733)),f143(x90731,f316(f316(f141(f905(x90731,a898)),x90734),x90735))))
% 163.96/163.65 [9336]~P22(x93362,x93361,x93363,f316(f316(f100(f905(x93362,a895)),x93364),x93365))+E(f316(f316(f91(f905(x93361,a895)),f316(f299(x93362,x93361,x93363),f316(f316(f23(f905(x93362,a895)),x93364),x93365))),f316(f299(x93362,x93361,x93363),f316(f316(f23(f905(x93362,a895)),x93365),x93364))),f178(f905(x93361,a895)))
% 163.96/163.65 [9596]~P22(x95963,x95961,x95965,f231(f905(x95963,a895)))+E(f316(f66(x95961,x95962,x95963,f316(f66(x95963,x95962,x95961,x95964),f85(x95963,x95961,f231(f905(x95963,a895)),x95965))),x95965),x95964)
% 163.96/163.65 [9630]~P107(f316(f316(f224(f905(x96303,a895)),f316(f274(x96301,x96303,x96304),x96302)),x96305))+P107(f316(f316(f224(f905(x96301,a895)),x96302),f316(f73(f905(x96301,a895)),f316(f274(x96303,x96301,f316(f275(x96301,x96303),x96304)),f316(f73(f905(x96303,a895)),x96305)))))
% 163.96/163.65 [9655]~P22(x96551,x96552,x96553,f316(f316(f298(x96551),x96554),x96555))+~P107(f316(f316(f318(x96552),f316(x96553,x96554)),f316(f299(x96551,x96552,x96553),f316(f316(f23(f905(x96551,a895)),x96555),f316(f316(f298(x96551),x96554),f178(f905(x96551,a895)))))))
% 163.96/163.65 [9708]P107(f316(f316(f224(f905(x97081,a895)),f316(f274(x97082,x97081,x97083),x97084)),x97085))+~P107(f316(f316(f224(f905(x97082,a895)),x97084),f316(f73(f905(x97082,a895)),f316(f274(x97081,x97082,f316(f275(x97082,x97081),x97083)),f316(f73(f905(x97081,a895)),x97085)))))
% 163.96/163.65 [9781]~P89(x97811)+P107(f316(f316(f224(x97811),f316(f69(x97811),f316(f316(f23(x97811),f316(f316(f74(x97811),x97812),x97813)),f316(f316(f74(x97811),x97814),x97815)))),f316(f316(f74(x97811),f316(f69(x97811),f316(f316(f23(x97811),x97812),x97814))),f316(f69(x97811),f316(f316(f23(x97811),x97813),x97815)))))
% 163.96/163.65 [9891]P107(f316(f316(f318(x98911),f369(x98912,x98913,x98914,x98911,x98915)),x98914))+P107(f316(f316(f224(f905(x98915,a895)),f316(f316(f33(x98911,f905(x98915,a895)),x98914),x98913)),x98912))
% 163.96/163.65 [9892]P107(f316(f316(f318(x98921),f553(x98922,x98923,x98924,x98925,x98921)),x98925))+P107(f316(f316(f224(f905(x98924,a895)),f316(f316(f33(x98921,f905(x98924,a895)),x98925),x98923)),x98922))
% 163.96/163.65 [10072]~P107(f316(f316(f224(f905(x100721,a895)),f316(x100724,f369(x100725,x100724,x100723,x100722,x100721))),x100725))+P107(f316(f316(f224(f905(x100721,a895)),f316(f316(f33(x100722,f905(x100721,a895)),x100723),x100724)),x100725))
% 163.96/163.65 [10073]~P107(f316(f316(f224(f905(x100731,a895)),f316(x100734,f553(x100735,x100734,x100731,x100733,x100732))),x100735))+P107(f316(f316(f224(f905(x100731,a895)),f316(f316(f33(x100732,f905(x100731,a895)),x100733),x100734)),x100735))
% 163.96/163.65 [8679]E(f316(f316(f124(x86791),x86792),f316(f316(f149(x86791,x86793),f316(f316(f23(a898),x86794),f316(f179(f899(x86791)),x86792))),x86795)),f316(f316(f149(x86791,f316(f316(f124(x86791),x86792),x86793)),x86794),x86795))+P107(f316(f316(f225(a898),x86794),f316(f179(f899(x86791)),x86792)))
% 163.96/163.65 [8707]~P143(x87071)+E(f316(f316(f74(x87071),f316(f316(f75(x87071),x87072),x87073)),f316(f316(f74(x87071),f316(f316(f75(x87071),x87074),x87073)),x87075)),f316(f316(f74(x87071),f316(f316(f75(x87071),f316(f316(f74(x87071),x87072),x87074)),x87073)),x87075))
% 163.96/163.65 [9291]~P147(x92911)+E(f316(f155(x92911),f316(f316(f144(x92912,x92911),f316(f316(f8(x92911,x92911,x92912),f316(f75(x92911),x92913)),x92914)),x92915)),f316(f316(f75(x92911),x92913),f316(f155(x92911),f316(f316(f144(x92912,x92911),x92914),x92915))))
% 163.96/163.65 [9466]E(f316(f179(f899(x94661)),f316(f316(f165(x94661),f316(f316(f222(a898),f316(f179(f899(x94661)),x94662)),f316(f179(f899(x94663)),x94664))),x94662)),f316(f179(f899(x94663)),f316(f316(f165(x94663),f316(f316(f222(a898),f316(f179(f899(x94661)),x94662)),f316(f179(f899(x94663)),x94664))),x94664)))+P107(f316(x94665,f316(f316(f171(x94661,x94663),x94662),x94664)))
% 163.96/163.65 [9718]~P147(x97182)+E(f316(f316(f6(x97181,x97182),f316(f316(f7(x97181,x97182,x97182),f316(f316(f8(x97182,f905(x97182,x97182),x97181),f75(x97182)),x97183)),x97184)),x97185),f316(f316(f75(x97182),f316(f316(f6(x97181,x97182),x97183),x97185)),x97184))
% 163.96/163.65 [9719]~P66(x97192)+E(f316(f316(f6(x97191,x97192),f316(f316(f7(x97191,x97192,x97192),f316(f316(f8(x97192,f905(x97192,x97192),x97191),f280(x97192)),x97193)),x97194)),x97195),f316(f316(f280(x97192),f316(f316(f6(x97191,x97192),x97193),x97195)),x97194))
% 163.96/163.65 [9726]~P72(x97262)+E(f316(f316(f9(x97261,x97262),f316(f316(f18(x97261,x97262,x97262),f316(f316(f8(x97262,f905(x97262,x97262),x97261),f75(x97262)),x97263)),x97264)),x97265),f316(f316(f75(x97262),f316(f316(f9(x97261,x97262),x97263),x97265)),f316(f316(f9(x97261,x97262),x97264),x97265)))
% 163.96/163.65 [9727]~P60(x97272)+E(f316(f316(f6(x97271,x97272),f316(f316(f18(x97271,x97272,x97272),f316(f316(f8(x97272,f905(x97272,x97272),x97271),f23(x97272)),x97273)),x97274)),x97275),f316(f316(f23(x97272),f316(f316(f6(x97271,x97272),x97273),x97275)),f316(f316(f6(x97271,x97272),x97274),x97275)))
% 163.96/163.65 [9728]~P76(x97282)+E(f316(f316(f6(x97281,x97282),f316(f316(f18(x97281,x97282,x97282),f316(f316(f8(x97282,f905(x97282,x97282),x97281),f74(x97282)),x97283)),x97284)),x97285),f316(f316(f74(x97282),f316(f316(f6(x97281,x97282),x97283),x97285)),f316(f316(f6(x97281,x97282),x97284),x97285)))
% 163.96/163.65 [9766]~E(x97663,f178(f905(x97661,a895)))+E(f316(f316(f32(x97661,f905(x97662,a895)),x97663),f316(f316(f7(x97661,f905(x97662,a895),f905(x97662,a895)),f316(f316(f8(f905(x97662,a895),f905(f905(x97662,a895),f905(x97662,a895)),x97661),f23(f905(x97662,a895))),x97664)),x97665)),f231(f905(x97662,a895)))
% 163.96/163.65 [9767]~E(x97673,f178(f905(x97671,a895)))+E(f316(f316(f32(x97671,f905(x97672,a895)),x97673),f316(f316(f7(x97671,f905(x97672,a895),f905(x97672,a895)),f316(f316(f8(f905(x97672,a895),f905(f905(x97672,a895),f905(x97672,a895)),x97671),f91(f905(x97672,a895))),x97674)),x97675)),f231(f905(x97672,a895)))
% 163.96/163.65 [9768]~E(x97683,f178(f905(x97681,a895)))+E(f316(f316(f33(x97681,f905(x97682,a895)),x97683),f316(f316(f7(x97681,f905(x97682,a895),f905(x97682,a895)),f316(f316(f8(f905(x97682,a895),f905(f905(x97682,a895),f905(x97682,a895)),x97681),f100(f905(x97682,a895))),x97684)),x97685)),f178(f905(x97682,a895)))
% 163.96/163.65 [9789]E(x97891,f178(f905(x97892,a895)))+E(f316(f316(f32(x97892,f905(x97893,a895)),x97891),f316(f316(f7(x97892,f905(x97893,a895),f905(x97893,a895)),f316(f316(f8(f905(x97893,a895),f905(f905(x97893,a895),f905(x97893,a895)),x97892),f23(f905(x97893,a895))),x97894)),x97895)),f316(f316(f23(f905(x97893,a895)),f316(f316(f32(x97892,f905(x97893,a895)),x97891),x97894)),x97895))
% 163.96/163.65 [9790]E(x97901,f178(f905(x97902,a895)))+E(f316(f316(f32(x97902,f905(x97903,a895)),x97901),f316(f316(f7(x97902,f905(x97903,a895),f905(x97903,a895)),f316(f316(f8(f905(x97903,a895),f905(f905(x97903,a895),f905(x97903,a895)),x97902),f91(f905(x97903,a895))),x97904)),x97905)),f316(f316(f91(f905(x97903,a895)),f316(f316(f32(x97902,f905(x97903,a895)),x97901),x97904)),x97905))
% 163.96/163.65 [9791]E(x97911,f178(f905(x97912,a895)))+E(f316(f316(f33(x97912,f905(x97913,a895)),x97911),f316(f316(f7(x97912,f905(x97913,a895),f905(x97913,a895)),f316(f316(f8(f905(x97913,a895),f905(f905(x97913,a895),f905(x97913,a895)),x97912),f100(f905(x97913,a895))),x97914)),x97915)),f316(f316(f100(f905(x97913,a895)),f316(f316(f33(x97912,f905(x97913,a895)),x97911),x97914)),x97915))
% 163.96/163.65 [9341]~P107(f316(f316(f224(a898),x93411),x93414))+E(f316(f316(f23(a898),f316(f316(f74(a898),f316(f316(f75(a898),x93411),x93412)),x93413)),f316(f316(f74(a898),f316(f316(f75(a898),x93414),x93412)),x93415)),f316(f316(f23(a898),x93413),f316(f316(f74(a898),f316(f316(f75(a898),f316(f316(f23(a898),x93414),x93411)),x93412)),x93415)))
% 163.96/163.65 [9941]~P147(x99411)+E(f316(f155(x99411),f316(f316(f144(x99412,x99411),f316(f316(f7(x99412,x99411,x99411),f316(f316(f8(x99411,f905(x99411,x99411),x99412),f75(x99411)),x99413)),x99414)),x99415)),f316(f316(f75(x99411),f316(f155(x99411),f316(f316(f144(x99412,x99411),x99413),x99415))),x99414))
% 163.96/163.65 [9947]~P60(x99471)+E(f316(f155(x99471),f316(f316(f144(x99472,x99471),f316(f316(f18(x99472,x99471,x99471),f316(f316(f8(x99471,f905(x99471,x99471),x99472),f23(x99471)),x99473)),x99474)),x99475)),f316(f316(f23(x99471),f316(f155(x99471),f316(f316(f144(x99472,x99471),x99473),x99475))),f316(f155(x99471),f316(f316(f144(x99472,x99471),x99474),x99475))))
% 163.96/163.65 [9948]~P76(x99481)+E(f316(f155(x99481),f316(f316(f144(x99482,x99481),f316(f316(f18(x99482,x99481,x99481),f316(f316(f8(x99481,f905(x99481,x99481),x99482),f74(x99481)),x99483)),x99484)),x99485)),f316(f316(f74(x99481),f316(f155(x99481),f316(f316(f144(x99482,x99481),x99483),x99485))),f316(f155(x99481),f316(f316(f144(x99482,x99481),x99484),x99485))))
% 163.96/163.65 [10097]P107(f316(x100971,f316(f316(f171(x100972,x100973),x100974),x100975)))+~P107(f316(x100971,f316(f316(f171(x100972,x100973),f316(f316(f165(x100972),f316(f316(f222(a898),f316(f179(f899(x100972)),x100974)),f316(f179(f899(x100973)),x100975))),x100974)),f316(f316(f165(x100973),f316(f316(f222(a898),f316(f179(f899(x100972)),x100974)),f316(f179(f899(x100973)),x100975))),x100975))))
% 163.96/163.65 [10360]~P107(f316(f316(f318(f904(x103602,x103601)),f316(f316(f241(x103602,x103601),x103604),x103605)),f316(f275(x103601,x103602),x103603)))+P107(f316(f316(f232(x103601,x103602,f316(f316(f7(x103601,f905(f904(x103601,x103602),a895),f905(x103602,a895)),f316(f316(f8(f905(x103602,f905(f905(f904(x103601,x103602),a895),a895)),f905(f905(f904(x103601,x103602),a895),f905(x103602,a895)),x103601),f7(x103602,f905(f904(x103601,x103602),a895),a895)),f316(f316(f8(f905(x103602,f904(x103601,x103602)),f905(x103602,f905(f905(f904(x103601,x103602),a895),a895)),x103601),f316(f8(f904(x103601,x103602),f905(f905(f904(x103601,x103602),a895),a895),x103602),f318(f904(x103601,x103602)))),f241(x103601,x103602)))),x103603)),x103604),x103605))
% 163.96/163.65 [10370]P107(f316(f316(f318(f904(x103701,x103702)),f316(f316(f241(x103701,x103702),x103703),x103704)),f316(f275(x103702,x103701),x103705)))+~P107(f316(f316(f232(x103702,x103701,f316(f316(f7(x103702,f905(f904(x103702,x103701),a895),f905(x103701,a895)),f316(f316(f8(f905(x103701,f905(f905(f904(x103702,x103701),a895),a895)),f905(f905(f904(x103702,x103701),a895),f905(x103701,a895)),x103702),f7(x103701,f905(f904(x103702,x103701),a895),a895)),f316(f316(f8(f905(x103701,f904(x103702,x103701)),f905(x103701,f905(f905(f904(x103702,x103701),a895),a895)),x103702),f316(f8(f904(x103702,x103701),f905(f905(f904(x103702,x103701),a895),a895),x103701),f318(f904(x103702,x103701)))),f241(x103702,x103701)))),x103705)),x103703),x103704))
% 163.96/163.65 [9595]~P107(f316(f316(f224(a898),x95954),x95951))+E(f316(f316(f23(a898),f316(f316(f74(a898),f316(f316(f75(a898),x95951),x95952)),x95953)),f316(f316(f74(a898),f316(f316(f75(a898),x95954),x95952)),x95955)),f316(f316(f23(a898),f316(f316(f74(a898),f316(f316(f75(a898),f316(f316(f23(a898),x95951),x95954)),x95952)),x95953)),x95955))
% 163.96/163.65 [7393]E(x73931,x73932)+~E(f210(x73933,x73934,x73935,x73931),f210(x73933,x73934,x73936,x73932))
% 163.96/163.65 [7394]E(x73941,x73942)+~E(f210(x73943,x73944,x73941,x73945),f210(x73943,x73944,x73942,x73946))
% 163.96/163.65 [8516]~P16(x85165,x85161,x85162,x85166)+E(f316(f66(x85161,x85161,x85161,f316(x85162,x85163)),f316(x85162,x85164)),f316(f66(x85161,x85161,x85161,f316(x85162,x85164)),f316(x85162,x85163)))
% 163.96/163.65 [8753]~P55(x87534,x87535,x87532,x87531,x87536)+E(f316(x87531,f316(x87532,x87533)),x87533)
% 163.96/163.65 [8921]P22(x89211,x89212,x89213,x89214)+~P22(x89211,x89215,f316(f66(x89212,x89215,x89211,x89216),x89213),x89214)
% 163.96/163.65 [8994]~E(x89946,x89944)+E(f316(f68(x89941,x89942,x89943,x89944,x89945),x89946),x89945)
% 163.96/163.65 [9000]E(x90001,x90002)+E(f316(f68(x90003,x90004,x90005,x90002,x90006),x90001),f316(x90005,x90001))
% 163.96/163.65 [9012]~P22(x90124,x90122,f316(f66(x90121,x90122,x90124,x90123),x90125),x90126)+P22(x90121,x90122,x90123,f316(f299(x90124,x90121,x90125),x90126))
% 163.96/163.65 [9729]P107(f316(f54(x97291),x97292))+~P107(f316(f59(x97291,x97293,x97294,x97295,x97292),x97296))
% 163.96/163.65 [9738]~P107(f316(f316(f318(x97384),x97383),f286(x97384,x97381,x97385,x97382,x97386)))+P107(f316(f316(x97381,x97382),x97383))
% 163.96/163.65 [9739]~P107(f316(f316(f318(x97394),x97393),f289(x97394,x97395,x97391,x97392,x97396)))+P107(f316(f316(x97391,x97392),x97393))
% 163.96/163.65 [9740]~P107(f316(f316(f318(x97404),x97402),f286(x97404,x97405,x97401,x97406,x97403)))+P107(f316(f316(x97401,x97402),x97403))
% 163.96/163.65 [9741]~P107(f316(f316(f318(x97414),x97412),f289(x97414,x97411,x97415,x97416,x97413)))+P107(f316(f316(x97411,x97412),x97413))
% 163.96/163.65 [10246]P9(x102461,x102462,x102463,x102464,x102465,x102466)+~E(f316(f316(x102466,f329(x102463,x102466,x102465,x102462,x102464,x102461)),f331(x102463,x102466,x102465,x102462,x102464,x102461)),f316(f316(x102466,f330(x102463,x102466,x102465,x102462,x102464,x102461)),f332(x102463,x102466,x102465,x102462,x102464,x102461)))
% 163.96/163.65 [5855]E(x58551,x58552)+~E(f316(f316(f241(x58553,x58554),x58555),x58551),f316(f316(f241(x58553,x58554),x58556),x58552))
% 163.96/163.65 [5857]E(x58571,x58572)+~E(f316(f316(f241(x58573,x58574),x58571),x58575),f316(f316(f241(x58573,x58574),x58572),x58576))
% 163.96/163.65 [6002]~P13(x60025,x60026,x60021)+E(f316(f316(x60021,x60022),f316(f316(x60021,x60023),x60024)),f316(f316(x60021,x60023),f316(f316(x60021,x60022),x60024)))
% 163.96/163.65 [7459]~P31(x74594,x74591,f316(f316(f141(x74594),x74592),x74595),f316(f316(f141(x74594),x74593),x74596))+P107(f316(f316(x74591,x74592),x74593))
% 163.96/163.65 [7817]P31(x78171,x78172,x78173,x78174)+~P31(x78171,x78172,f316(f316(f141(x78171),x78175),x78173),f316(f316(f141(x78171),x78176),x78174))
% 163.96/163.65 [8858]~P55(x88585,x88581,x88582,x88586,x88584)+P107(f316(f316(f318(x88581),f316(x88582,x88583)),x88584))
% 163.96/163.65 [9040]E(f316(f70(x90401,x90402,x90403,x90404,x90405),x90406),f316(x90403,x90406))+P107(f316(f316(f318(x90401),x90406),x90405))
% 163.96/163.65 [9062]~E(x90623,f316(f316(f141(x90621),x90625),x90626))+P107(f316(f316(f318(f904(f899(x90621),f899(x90621))),f316(f316(f241(f899(x90621),f899(x90621)),x90622),f316(f316(f124(x90621),x90622),x90623))),f137(x90621,x90624)))
% 163.96/163.65 [9067]E(f316(f70(x90671,x90672,x90673,x90674,x90675),x90676),f316(x90674,x90676))+~P107(f316(f316(f318(x90671),x90676),x90675))
% 163.96/163.65 [9297]~P33(x92971,x92972,x92973,x92975,x92976)+P33(x92971,x92972,x92973,f316(f316(f165(x92971),x92974),x92975),f316(f316(f165(x92972),x92974),x92976))
% 163.96/163.65 [9298]~P33(x92981,x92982,x92983,x92985,x92986)+P33(x92981,x92982,x92983,f316(f316(f128(x92981),x92984),x92985),f316(f316(f128(x92982),x92984),x92986))
% 163.96/163.65 [9557]E(f316(f299(x95571,x95572,f68(x95571,x95572,x95573,x95574,x95575)),x95576),f316(f299(x95571,x95572,x95573),x95576))+P107(f316(f316(f318(x95571),x95574),x95576))
% 163.96/163.65 [9560]E(f316(f316(f144(x95601,x95602),f68(x95601,x95602,x95603,x95604,x95605)),x95606),f316(f316(f144(x95601,x95602),x95603),x95606))+P107(f316(f316(f318(x95601),x95604),f316(f162(x95601),x95606)))
% 163.96/163.65 [9801]~P20(x98014,x98012,x98015,x98013,x98016,x98011)+E(f316(x98011,f178(f905(x98012,a895))),x98013)
% 163.96/163.65 [10037]~E(f316(x100374,f316(f240(x100371,x100373),x100375)),f316(x100376,f316(f240(x100371,x100373),x100375)))+E(f316(f247(x100371,x100372,x100373,x100373,x100374,f25(x100373)),x100375),f316(f247(x100371,x100372,x100373,x100373,x100376,f25(x100373)),x100375))
% 163.96/163.65 [10038]~E(f316(x100384,f316(f245(x100381,x100382),x100385)),f316(x100386,f316(f245(x100381,x100382),x100385)))+E(f316(f247(x100381,x100381,x100382,x100383,f25(x100381),x100384),x100385),f316(f247(x100381,x100381,x100382,x100383,f25(x100381),x100386),x100385))
% 163.96/163.65 [10093]~E(f316(f247(x100932,x100936,x100933,x100933,x100931,f25(x100933)),x100934),f316(f247(x100932,x100936,x100933,x100933,x100935,f25(x100933)),x100934))+E(f316(x100931,f316(f240(x100932,x100933),x100934)),f316(x100935,f316(f240(x100932,x100933),x100934)))
% 163.96/163.65 [10094]~E(f316(f247(x100942,x100942,x100943,x100946,f25(x100942),x100941),x100944),f316(f247(x100942,x100942,x100943,x100946,f25(x100942),x100945),x100944))+E(f316(x100941,f316(f245(x100942,x100943),x100944)),f316(x100945,f316(f245(x100942,x100943),x100944)))
% 163.96/163.65 [8961]P107(f316(f316(f318(x89611),x89612),x89613))+~P107(f316(f316(f318(f904(x89611,x89614)),f316(f316(f241(x89611,x89614),x89612),x89615)),f316(f316(f243(x89611,x89614),x89613),x89616)))
% 163.96/163.65 [8977]P107(f316(f316(f318(x89771),x89772),f316(x89773,x89774)))+~P107(f316(f316(f318(f904(x89775,x89771)),f316(f316(f241(x89775,x89771),x89774),x89772)),f316(f316(f243(x89775,x89771),x89776),x89773)))
% 163.96/163.65 [9416]P107(f316(f316(f318(f904(x94161,x94161)),f316(f316(f241(x94161,x94161),f316(x94162,x94163)),f316(x94162,x94164))),x94165))+~P107(f316(f316(f318(f904(x94166,x94166)),f316(f316(f241(x94166,x94166),x94163),x94164)),f316(f316(f277(x94161,x94166),x94165),x94162)))
% 163.96/163.65 [9436]~P107(f316(f316(f318(f904(x94364,x94364)),f316(f316(f241(x94364,x94364),f316(x94366,x94362)),f316(x94366,x94363))),x94365))+P107(f316(f316(f318(f904(x94361,x94361)),f316(f316(f241(x94361,x94361),x94362),x94363)),f316(f316(f277(x94364,x94361),x94365),x94366)))
% 163.96/163.65 [10096]E(f316(f316(f241(x100961,x100962),f635(x100963,x100964,x100965,x100966,x100962,x100961)),f636(x100963,x100964,x100965,x100966,x100962,x100961)),x100966)+~P107(f316(f316(f318(f904(x100961,x100962)),x100966),f316(f316(f278(x100961,x100965,x100962),x100964),x100963)))
% 163.96/163.65 [10318]~P107(f316(f316(f318(f904(x103181,x103186)),x103185),f316(f316(f278(x103181,x103182,x103186),x103184),x103183)))+P107(f316(f316(f318(f904(x103181,x103182)),f316(f316(f241(x103181,x103182),f635(x103183,x103184,x103182,x103185,x103186,x103181)),f637(x103183,x103184,x103182,x103185,x103186,x103181))),x103184))
% 163.96/163.65 [10319]~P107(f316(f316(f318(f904(x103196,x103192)),x103195),f316(f316(f278(x103196,x103191,x103192),x103194),x103193)))+P107(f316(f316(f318(f904(x103191,x103192)),f316(f316(f241(x103191,x103192),f637(x103193,x103194,x103191,x103195,x103192,x103196)),f636(x103193,x103194,x103191,x103195,x103192,x103196))),x103193))
% 163.96/163.65 [10320]P9(x103201,x103202,x103203,x103204,x103205,x103206)+P107(f316(f316(f318(f904(x103202,x103202)),f316(f316(f241(x103202,x103202),f332(x103203,x103206,x103205,x103202,x103204,x103201)),f331(x103203,x103206,x103205,x103202,x103204,x103201))),x103205))
% 163.96/163.65 [10321]P9(x103211,x103212,x103213,x103214,x103215,x103216)+P107(f316(f316(f318(f904(x103211,x103211)),f316(f316(f241(x103211,x103211),f330(x103213,x103216,x103215,x103212,x103214,x103211)),f329(x103213,x103216,x103215,x103212,x103214,x103211))),x103214))
% 163.96/163.65 [7887]~P2(x78872)+E(f316(f316(f32(x78871,x78872),x78873),f316(f316(f7(x78871,x78874,x78872),x78875),x78876)),f316(f316(f316(f32(x78871,f905(x78874,x78872)),x78873),x78875),x78876))
% 163.96/163.65 [7888]~P2(x78882)+E(f316(f316(f33(x78881,x78882),x78883),f316(f316(f7(x78881,x78884,x78882),x78885),x78886)),f316(f316(f316(f33(x78881,f905(x78884,x78882)),x78883),x78885),x78886))
% 163.96/163.65 [8660]E(f316(f316(f33(x86601,f905(x86602,a895)),x86603),f316(f316(f8(f905(x86602,a895),f905(x86602,a895),x86601),f316(f298(x86602),x86604)),x86605)),f316(f316(f298(x86602),x86604),f316(f316(f33(x86601,f905(x86602,a895)),x86603),x86605)))+~P107(f316(f316(f318(x86601),x86606),x86603))
% 163.96/163.65 [9117]~P2(x91172)+E(f316(f316(f32(x91171,x91172),x91173),f316(f316(f8(f905(x91174,x91172),x91172,x91171),f316(f32(x91174,x91172),x91175)),f316(f7(x91174,x91171,x91172),x91176))),f316(f316(f32(x91174,x91172),x91175),f316(f316(f8(f905(x91171,x91172),x91172,x91174),f316(f32(x91171,x91172),x91173)),x91176)))
% 163.96/163.65 [9118]~P2(x91182)+E(f316(f316(f33(x91181,x91182),x91183),f316(f316(f8(f905(x91184,x91182),x91182,x91181),f316(f33(x91184,x91182),x91185)),f316(f7(x91184,x91181,x91182),x91186))),f316(f316(f33(x91184,x91182),x91185),f316(f316(f8(f905(x91181,x91182),x91182,x91184),f316(f33(x91181,x91182),x91183)),x91186)))
% 163.96/163.65 [9323]P107(f316(f316(f318(x93231),x93232),f316(f162(x93231),x93233)))+~P107(f316(f316(f318(f904(x93234,x93231)),f316(f316(f241(x93234,x93231),x93235),x93232)),f316(f162(f904(x93234,x93231)),f316(f316(f171(x93234,x93231),x93236),x93233))))
% 163.96/163.65 [9324]P107(f316(f316(f318(x93241),x93242),f316(f162(x93241),x93243)))+~P107(f316(f316(f318(f904(x93241,x93244)),f316(f316(f241(x93241,x93244),x93242),x93245)),f316(f162(f904(x93241,x93244)),f316(f316(f171(x93241,x93244),x93243),x93246))))
% 163.96/163.65 [9432]P107(f316(f316(f224(f905(x94321,a895)),f316(f274(x94322,x94321,x94323),x94324)),x94325))+~P107(f316(f316(f224(f905(f904(x94322,x94321),a895)),x94323),f316(f316(f243(x94322,x94321),x94326),f316(f16(f905(x94321,a895),x94322),x94325))))
% 163.96/163.65 [9437]~P23(x94374,x94372,x94375,f231(f905(x94374,a895)),f231(f905(x94372,a895)))+E(f316(f316(f32(x94371,f905(x94372,a895)),x94373),f316(f316(f8(f905(x94374,a895),f905(x94372,a895),x94371),f299(x94374,x94372,x94375)),x94376)),f316(f299(x94374,x94372,x94375),f316(f316(f32(x94371,f905(x94374,a895)),x94373),x94376)))
% 163.96/163.65 [9633]P107(f316(f316(f318(f904(f899(x96331),f899(x96331))),f316(f316(f241(f899(x96331),f899(x96331)),f316(f316(f141(x96331),x96332),x96333)),f316(f316(f141(x96331),x96334),x96335))),f137(x96331,x96336)))+~P107(f316(f316(f318(f904(x96331,x96331)),f316(f316(f241(x96331,x96331),x96332),x96334)),x96336))
% 163.96/163.65 [10092]E(f316(f316(f241(x100921,x100922),f581(x100923,x100924,x100925,x100922,x100921,x100926)),f584(x100923,x100924,x100925,x100922,x100921,x100926)),x100926)+P107(f316(f316(f318(x100925),x100924),f316(f316(f246(x100921,x100922,f905(x100925,a895)),x100923),x100926)))
% 163.96/163.65 [10098]E(f316(f316(f241(x100981,x100982),f582(x100983,x100984,x100982,x100981,x100985,x100986)),f583(x100983,x100984,x100982,x100981,x100985,x100986)),x100983)+~P107(f316(f316(f318(x100986),x100985),f316(f316(f246(x100981,x100982,f905(x100986,a895)),x100984),x100983)))
% 163.96/163.65 [10261]P107(f316(f316(f318(x102611),x102612),f316(f316(x102613,f582(x102614,x102613,x102615,x102616,x102612,x102611)),f583(x102614,x102613,x102615,x102616,x102612,x102611))))+~P107(f316(f316(f318(x102611),x102612),f316(f316(f246(x102616,x102615,f905(x102611,a895)),x102613),x102614)))
% 163.96/163.65 [10290]~P107(f316(f316(f318(x102901),x102902),f316(f316(x102905,f581(x102905,x102902,x102901,x102904,x102903,x102906)),f584(x102905,x102902,x102901,x102904,x102903,x102906))))+P107(f316(f316(f318(x102901),x102902),f316(f316(f246(x102903,x102904,f905(x102901,a895)),x102905),x102906)))
% 163.96/163.65 [8561]E(x85611,x85612)+E(f316(f316(f149(x85613,f316(f316(f149(x85613,x85614),x85611),x85615)),x85612),x85616),f316(f316(f149(x85613,f316(f316(f149(x85613,x85614),x85612),x85616)),x85611),x85615))
% 163.96/163.65 [9693]~P107(f316(f316(f318(x96933),x96936),x96935))+E(f316(f316(f298(x96931),x96932),f316(f299(x96933,x96931,x96934),f316(f316(f23(f905(x96933,a895)),x96935),f316(f316(f298(x96933),x96936),f178(f905(x96933,a895)))))),f316(f299(x96933,x96931,f68(x96933,x96931,x96934,x96936,x96932)),x96935))
% 163.96/163.65 [9196]~P107(f316(f316(x91964,x91965),x91966))+P107(f316(f316(f316(f316(f100(f905(x91961,f905(x91962,a895))),x91963),x91964),x91965),x91966))
% 163.96/163.65 [9198]~P107(f316(f316(x91983,x91985),x91986))+P107(f316(f316(f316(f316(f100(f905(x91981,f905(x91982,a895))),x91983),x91984),x91985),x91986))
% 163.96/163.65 [9487]P107(f316(f316(x94871,x94872),x94873))+~P107(f316(f316(f316(f316(f91(f905(x94874,f905(x94875,a895))),x94876),x94871),x94872),x94873))
% 163.96/163.65 [9488]P107(f316(f316(x94881,x94882),x94883))+~P107(f316(f316(f316(f316(f91(f905(x94884,f905(x94885,a895))),x94881),x94886),x94882),x94883))
% 163.96/163.65 [9929]~P72(x99292)+E(f316(f316(f9(x99291,x99292),f316(f316(f7(x99291,f905(x99293,a895),x99292),f316(f316(f8(f905(x99293,x99292),f905(f905(x99293,a895),x99292),x99291),f9(x99293,x99292)),x99294)),x99295)),x99296),f316(f316(f9(f904(x99291,x99293),x99292),f316(f246(x99291,x99293,x99292),x99294)),f316(f316(f243(x99291,x99293),x99296),f316(f16(f905(x99293,a895),x99291),x99295))))
% 163.96/163.65 [9930]~P76(x99302)+E(f316(f316(f6(x99301,x99302),f316(f316(f7(x99301,f905(x99303,a895),x99302),f316(f316(f8(f905(x99303,x99302),f905(f905(x99303,a895),x99302),x99301),f6(x99303,x99302)),x99304)),x99305)),x99306),f316(f316(f6(f904(x99301,x99303),x99302),f316(f246(x99301,x99303,x99302),x99304)),f316(f316(f243(x99301,x99303),x99306),f316(f16(f905(x99303,a895),x99301),x99305))))
% 163.96/163.65 [10062]~P76(x100622)+E(f316(f316(f6(x100621,x100622),f316(f316(f7(x100621,f905(x100623,a895),x100622),f316(f316(f8(f905(x100623,x100622),f905(f905(x100623,a895),x100622),x100621),f6(x100623,x100622)),f316(f7(x100623,x100621,x100622),x100624))),x100625)),x100626),f316(f316(f6(x100623,x100622),f316(f316(f7(x100623,f905(x100621,a895),x100622),f316(f316(f8(f905(x100621,x100622),f905(f905(x100621,a895),x100622),x100623),f6(x100621,x100622)),x100624)),x100626)),x100625))
% 163.96/163.65 [10382]~P107(f316(f316(f318(f904(x103821,x103822)),f316(f316(f241(x103821,x103822),x103825),x103826)),f316(f316(f100(f905(f904(x103821,x103822),a895)),x103823),x103824)))+P107(f316(f316(f316(f316(f100(f905(x103821,f905(x103822,a895))),f316(f316(f7(x103821,f905(f904(x103821,x103822),a895),f905(x103822,a895)),f316(f316(f8(f905(x103822,f905(f905(f904(x103821,x103822),a895),a895)),f905(f905(f904(x103821,x103822),a895),f905(x103822,a895)),x103821),f7(x103822,f905(f904(x103821,x103822),a895),a895)),f316(f316(f8(f905(x103822,f904(x103821,x103822)),f905(x103822,f905(f905(f904(x103821,x103822),a895),a895)),x103821),f316(f8(f904(x103821,x103822),f905(f905(f904(x103821,x103822),a895),a895),x103822),f318(f904(x103821,x103822)))),f241(x103821,x103822)))),x103823)),f316(f316(f7(x103821,f905(f904(x103821,x103822),a895),f905(x103822,a895)),f316(f316(f8(f905(x103822,f905(f905(f904(x103821,x103822),a895),a895)),f905(f905(f904(x103821,x103822),a895),f905(x103822,a895)),x103821),f7(x103822,f905(f904(x103821,x103822),a895),a895)),f316(f316(f8(f905(x103822,f904(x103821,x103822)),f905(x103822,f905(f905(f904(x103821,x103822),a895),a895)),x103821),f316(f8(f904(x103821,x103822),f905(f905(f904(x103821,x103822),a895),a895),x103822),f318(f904(x103821,x103822)))),f241(x103821,x103822)))),x103824)),x103825),x103826))
% 163.96/163.65 [10383]~P107(f316(f316(f318(f904(x103831,x103832)),f316(f316(f241(x103831,x103832),x103835),x103836)),f316(f316(f91(f905(f904(x103831,x103832),a895)),x103833),x103834)))+P107(f316(f316(f316(f316(f91(f905(x103831,f905(x103832,a895))),f316(f316(f7(x103831,f905(f904(x103831,x103832),a895),f905(x103832,a895)),f316(f316(f8(f905(x103832,f905(f905(f904(x103831,x103832),a895),a895)),f905(f905(f904(x103831,x103832),a895),f905(x103832,a895)),x103831),f7(x103832,f905(f904(x103831,x103832),a895),a895)),f316(f316(f8(f905(x103832,f904(x103831,x103832)),f905(x103832,f905(f905(f904(x103831,x103832),a895),a895)),x103831),f316(f8(f904(x103831,x103832),f905(f905(f904(x103831,x103832),a895),a895),x103832),f318(f904(x103831,x103832)))),f241(x103831,x103832)))),x103833)),f316(f316(f7(x103831,f905(f904(x103831,x103832),a895),f905(x103832,a895)),f316(f316(f8(f905(x103832,f905(f905(f904(x103831,x103832),a895),a895)),f905(f905(f904(x103831,x103832),a895),f905(x103832,a895)),x103831),f7(x103832,f905(f904(x103831,x103832),a895),a895)),f316(f316(f8(f905(x103832,f904(x103831,x103832)),f905(x103832,f905(f905(f904(x103831,x103832),a895),a895)),x103831),f316(f8(f904(x103831,x103832),f905(f905(f904(x103831,x103832),a895),a895),x103832),f318(f904(x103831,x103832)))),f241(x103831,x103832)))),x103834)),x103835),x103836))
% 163.96/163.65 [10392]P107(f316(f316(f318(f904(x103921,x103922)),f316(f316(f241(x103921,x103922),x103923),x103924)),f316(f316(f100(f905(f904(x103921,x103922),a895)),x103925),x103926)))+~P107(f316(f316(f316(f316(f100(f905(x103921,f905(x103922,a895))),f316(f316(f7(x103921,f905(f904(x103921,x103922),a895),f905(x103922,a895)),f316(f316(f8(f905(x103922,f905(f905(f904(x103921,x103922),a895),a895)),f905(f905(f904(x103921,x103922),a895),f905(x103922,a895)),x103921),f7(x103922,f905(f904(x103921,x103922),a895),a895)),f316(f316(f8(f905(x103922,f904(x103921,x103922)),f905(x103922,f905(f905(f904(x103921,x103922),a895),a895)),x103921),f316(f8(f904(x103921,x103922),f905(f905(f904(x103921,x103922),a895),a895),x103922),f318(f904(x103921,x103922)))),f241(x103921,x103922)))),x103925)),f316(f316(f7(x103921,f905(f904(x103921,x103922),a895),f905(x103922,a895)),f316(f316(f8(f905(x103922,f905(f905(f904(x103921,x103922),a895),a895)),f905(f905(f904(x103921,x103922),a895),f905(x103922,a895)),x103921),f7(x103922,f905(f904(x103921,x103922),a895),a895)),f316(f316(f8(f905(x103922,f904(x103921,x103922)),f905(x103922,f905(f905(f904(x103921,x103922),a895),a895)),x103921),f316(f8(f904(x103921,x103922),f905(f905(f904(x103921,x103922),a895),a895),x103922),f318(f904(x103921,x103922)))),f241(x103921,x103922)))),x103926)),x103923),x103924))
% 163.96/163.65 [10393]P107(f316(f316(f318(f904(x103931,x103932)),f316(f316(f241(x103931,x103932),x103933),x103934)),f316(f316(f91(f905(f904(x103931,x103932),a895)),x103935),x103936)))+~P107(f316(f316(f316(f316(f91(f905(x103931,f905(x103932,a895))),f316(f316(f7(x103931,f905(f904(x103931,x103932),a895),f905(x103932,a895)),f316(f316(f8(f905(x103932,f905(f905(f904(x103931,x103932),a895),a895)),f905(f905(f904(x103931,x103932),a895),f905(x103932,a895)),x103931),f7(x103932,f905(f904(x103931,x103932),a895),a895)),f316(f316(f8(f905(x103932,f904(x103931,x103932)),f905(x103932,f905(f905(f904(x103931,x103932),a895),a895)),x103931),f316(f8(f904(x103931,x103932),f905(f905(f904(x103931,x103932),a895),a895),x103932),f318(f904(x103931,x103932)))),f241(x103931,x103932)))),x103935)),f316(f316(f7(x103931,f905(f904(x103931,x103932),a895),f905(x103932,a895)),f316(f316(f8(f905(x103932,f905(f905(f904(x103931,x103932),a895),a895)),f905(f905(f904(x103931,x103932),a895),f905(x103932,a895)),x103931),f7(x103932,f905(f904(x103931,x103932),a895),a895)),f316(f316(f8(f905(x103932,f904(x103931,x103932)),f905(x103932,f905(f905(f904(x103931,x103932),a895),a895)),x103931),f316(f8(f904(x103931,x103932),f905(f905(f904(x103931,x103932),a895),a895),x103932),f318(f904(x103931,x103932)))),f241(x103931,x103932)))),x103936)),x103933),x103934))
% 163.96/163.65 [10376]~P107(f316(f316(f318(f904(x103762,x103763)),f316(f316(f241(x103762,x103763),x103765),x103766)),f316(f316(f32(x103761,f905(f904(x103762,x103763),a895)),f231(f905(x103761,a895))),x103764)))+P107(f316(f316(f316(f316(f32(x103761,f905(x103762,f905(x103763,a895))),f231(f905(x103761,a895))),f316(f316(f8(f905(f904(x103762,x103763),a895),f905(x103762,f905(x103763,a895)),x103761),f316(f7(x103762,f905(f904(x103762,x103763),a895),f905(x103763,a895)),f316(f316(f8(f905(x103763,f905(f905(f904(x103762,x103763),a895),a895)),f905(f905(f904(x103762,x103763),a895),f905(x103763,a895)),x103762),f7(x103763,f905(f904(x103762,x103763),a895),a895)),f316(f316(f8(f905(x103763,f904(x103762,x103763)),f905(x103763,f905(f905(f904(x103762,x103763),a895),a895)),x103762),f316(f8(f904(x103762,x103763),f905(f905(f904(x103762,x103763),a895),a895),x103763),f318(f904(x103762,x103763)))),f241(x103762,x103763))))),x103764)),x103765),x103766))
% 163.96/163.65 [10377]~P107(f316(f316(f318(f904(x103772,x103773)),f316(f316(f241(x103772,x103773),x103775),x103776)),f316(f316(f33(x103771,f905(f904(x103772,x103773),a895)),f231(f905(x103771,a895))),x103774)))+P107(f316(f316(f316(f316(f33(x103771,f905(x103772,f905(x103773,a895))),f231(f905(x103771,a895))),f316(f316(f8(f905(f904(x103772,x103773),a895),f905(x103772,f905(x103773,a895)),x103771),f316(f7(x103772,f905(f904(x103772,x103773),a895),f905(x103773,a895)),f316(f316(f8(f905(x103773,f905(f905(f904(x103772,x103773),a895),a895)),f905(f905(f904(x103772,x103773),a895),f905(x103773,a895)),x103772),f7(x103773,f905(f904(x103772,x103773),a895),a895)),f316(f316(f8(f905(x103773,f904(x103772,x103773)),f905(x103773,f905(f905(f904(x103772,x103773),a895),a895)),x103772),f316(f8(f904(x103772,x103773),f905(f905(f904(x103772,x103773),a895),a895),x103773),f318(f904(x103772,x103773)))),f241(x103772,x103773))))),x103774)),x103775),x103776))
% 163.96/163.65 [10386]P107(f316(f316(f318(f904(x103861,x103862)),f316(f316(f241(x103861,x103862),x103863),x103864)),f316(f316(f32(x103865,f905(f904(x103861,x103862),a895)),f231(f905(x103865,a895))),x103866)))+~P107(f316(f316(f316(f316(f32(x103865,f905(x103861,f905(x103862,a895))),f231(f905(x103865,a895))),f316(f316(f8(f905(f904(x103861,x103862),a895),f905(x103861,f905(x103862,a895)),x103865),f316(f7(x103861,f905(f904(x103861,x103862),a895),f905(x103862,a895)),f316(f316(f8(f905(x103862,f905(f905(f904(x103861,x103862),a895),a895)),f905(f905(f904(x103861,x103862),a895),f905(x103862,a895)),x103861),f7(x103862,f905(f904(x103861,x103862),a895),a895)),f316(f316(f8(f905(x103862,f904(x103861,x103862)),f905(x103862,f905(f905(f904(x103861,x103862),a895),a895)),x103861),f316(f8(f904(x103861,x103862),f905(f905(f904(x103861,x103862),a895),a895),x103862),f318(f904(x103861,x103862)))),f241(x103861,x103862))))),x103866)),x103863),x103864))
% 163.96/163.65 [10387]P107(f316(f316(f318(f904(x103871,x103872)),f316(f316(f241(x103871,x103872),x103873),x103874)),f316(f316(f33(x103875,f905(f904(x103871,x103872),a895)),f231(f905(x103875,a895))),x103876)))+~P107(f316(f316(f316(f316(f33(x103875,f905(x103871,f905(x103872,a895))),f231(f905(x103875,a895))),f316(f316(f8(f905(f904(x103871,x103872),a895),f905(x103871,f905(x103872,a895)),x103875),f316(f7(x103871,f905(f904(x103871,x103872),a895),f905(x103872,a895)),f316(f316(f8(f905(x103872,f905(f905(f904(x103871,x103872),a895),a895)),f905(f905(f904(x103871,x103872),a895),f905(x103872,a895)),x103871),f7(x103872,f905(f904(x103871,x103872),a895),a895)),f316(f316(f8(f905(x103872,f904(x103871,x103872)),f905(x103872,f905(f905(f904(x103871,x103872),a895),a895)),x103871),f316(f8(f904(x103871,x103872),f905(f905(f904(x103871,x103872),a895),a895),x103872),f318(f904(x103871,x103872)))),f241(x103871,x103872))))),x103876)),x103873),x103874))
% 163.96/163.65 [7564]E(f316(x75641,f316(x75642,x75643)),f316(x75644,x75643))+~E(f316(f66(x75645,x75646,x75647,x75641),x75642),x75644)
% 163.96/163.65 [9709]E(x97091,x97092)+E(f68(x97093,x97094,f68(x97093,x97094,x97095,x97091,x97096),x97092,x97097),f68(x97093,x97094,f68(x97093,x97094,x97095,x97092,x97097),x97091,x97096))
% 163.96/163.65 [9800]~P19(x98003,x98004,x98001,x98005,x98006,x98007)+E(f316(f316(x98001,x98002),x98002),x98002)
% 163.96/163.65 [6104]~E(f316(f316(f144(x61041,x61045),x61046),x61042),f316(f316(f144(x61043,x61045),x61047),x61044))+E(f316(f179(f899(x61041)),x61042),f316(f179(f899(x61043)),x61044))
% 163.96/163.65 [8592]E(f316(x85921,f316(x85922,x85923)),f316(x85924,x85923))+~E(f316(f66(x85925,x85926,x85927,x85921),x85922),f316(f66(x85926,x85926,x85927,f25(x85926)),x85924))
% 163.96/163.65 [8950]~P33(x89504,x89505,x89501,f316(f316(f141(x89504),x89502),x89506),f316(f316(f141(x89505),x89503),x89507))+P107(f316(f316(x89501,x89502),x89503))
% 163.96/163.65 [9330]P33(x93301,x93302,x93303,x93304,x93305)+~P33(x93301,x93302,x93303,f316(f316(f141(x93301),x93306),x93304),f316(f316(f141(x93302),x93307),x93305))
% 163.96/163.65 [9963]P107(f316(f316(x99631,x99632),f358(x99633,x99632,x99634,x99631)))+~P107(f316(f316(f242(x99635,x99636,x99637,x99631,x99634),x99632),x99633))
% 163.96/163.65 [9987]P107(f316(f316(x99871,f358(x99872,x99873,x99871,x99874)),x99872))+~P107(f316(f316(f242(x99875,x99876,x99877,x99874,x99871),x99873),x99872))
% 163.96/163.65 [9071]~P17(x90716,x90711,x90713,x90717)+E(f316(f66(x90711,x90711,x90712,f316(x90713,x90714)),f316(f66(x90711,x90711,x90712,f316(x90713,x90714)),x90715)),f316(f66(x90711,x90711,x90712,f316(x90713,x90714)),x90715))
% 163.96/163.65 [9440]~P33(x94403,x94402,x94404,f316(f316(f144(x94401,x94403),x94405),x94406),x94407)+P33(x94401,x94402,f316(f316(f8(x94403,f905(x94402,a895),x94401),x94404),x94405),x94406,x94407)
% 163.96/163.65 [9463]P33(x94631,x94632,x94633,f316(f316(f144(x94634,x94631),x94635),x94636),x94637)+~P33(x94634,x94632,f316(f316(f8(x94631,f905(x94632,a895),x94634),x94633),x94635),x94636,x94637)
% 163.96/163.65 [9070]~P107(f316(f316(f318(x90701),x90702),f316(f316(x90705,x90706),x90707)))+P107(f316(f316(f318(x90701),x90702),f316(f316(f246(x90703,x90704,f905(x90701,a895)),x90705),f316(f316(f241(x90703,x90704),x90706),x90707))))
% 163.96/163.65 [9354]P107(f316(f316(f316(x93541,x93542),x93543),x93544))+~P107(f316(f316(f316(f246(x93545,x93546,f905(x93547,a895)),x93541),f316(f316(f241(x93545,x93546),x93542),x93543)),x93544))
% 163.96/163.65 [9502]P107(f316(f316(f318(x95021),f316(f316(x95022,x95023),x95024)),f316(f299(f904(x95025,x95026),x95021,f316(f246(x95025,x95026,x95021),x95022)),x95027)))+~P107(f316(f316(f318(f904(x95025,x95026)),f316(f316(f241(x95025,x95026),x95023),x95024)),x95027))
% 163.96/163.65 [9849]P107(f316(f316(f318(f904(f899(x98491),f899(x98491))),f316(f316(f241(f899(x98491),f899(x98491)),f316(f316(f124(x98491),x98492),f316(f316(f141(x98491),x98493),x98494))),f316(f316(f124(x98491),x98492),f316(f316(f141(x98491),x98495),x98496)))),f137(x98491,x98497)))+~P107(f316(f316(f318(f904(x98491,x98491)),f316(f316(f241(x98491,x98491),x98493),x98495)),x98497))
% 163.96/163.65 [9914]~P33(x99141,x99143,x99144,x99146,f316(f316(f144(x99142,x99143),x99145),x99147))+P33(x99141,x99142,f316(f316(f7(x99141,f905(x99142,x99143),f905(x99142,a895)),f316(f316(f8(f905(x99143,a895),f905(f905(x99142,x99143),f905(x99142,a895)),x99141),f8(x99143,a895,x99142)),x99144)),x99145),x99146,x99147)
% 163.96/163.65 [9991]P33(x99911,x99912,x99913,x99914,f316(f316(f144(x99915,x99912),x99916),x99917))+~P33(x99911,x99915,f316(f316(f7(x99911,f905(x99915,x99912),f905(x99915,a895)),f316(f316(f8(f905(x99912,a895),f905(f905(x99915,x99912),f905(x99915,a895)),x99911),f8(x99912,a895,x99915)),x99913)),x99916),x99914,x99917)
% 163.96/163.65 [10305]P107(f316(f316(f318(x103051),f420(x103052,x103053,x103054,x103055,x103056,x103057,x103051)),x103055))+P107(f316(f316(f316(f316(f32(x103051,f905(x103057,f905(x103056,a895))),x103055),x103054),x103053),x103052))
% 163.96/163.65 [10306]P107(f316(f316(f318(x103061),f511(x103062,x103063,x103064,x103065,x103066,x103067,x103061)),x103067))+P107(f316(f316(f316(f316(f32(x103061,f905(x103063,f905(x103062,a895))),x103067),x103066),x103065),x103064))
% 163.96/163.65 [10307]P107(f316(f316(f318(x103071),f430(x103072,x103073,x103074,x103075,x103076,x103077,x103071)),x103075))+~P107(f316(f316(f316(f316(f33(x103071,f905(x103077,f905(x103076,a895))),x103075),x103074),x103073),x103072))
% 163.96/163.65 [10308]P107(f316(f316(f318(x103081),f504(x103082,x103083,x103084,x103085,x103086,x103087,x103081)),x103085))+~P107(f316(f316(f316(f316(f33(x103081,f905(x103087,f905(x103086,a895))),x103085),x103084),x103083),x103082))
% 163.96/163.65 [10341]P107(f316(f316(f316(x103411,f430(x103412,x103413,x103411,x103414,x103415,x103416,x103417)),x103413),x103412))+~P107(f316(f316(f316(f316(f33(x103417,f905(x103416,f905(x103415,a895))),x103414),x103411),x103413),x103412))
% 163.96/163.65 [10342]P107(f316(f316(f316(x103421,f504(x103422,x103423,x103421,x103424,x103425,x103426,x103427)),x103423),x103422))+~P107(f316(f316(f316(f316(f33(x103427,f905(x103426,f905(x103425,a895))),x103424),x103421),x103423),x103422))
% 163.96/163.65 [10357]~P107(f316(f316(f316(x103575,f420(x103577,x103576,x103575,x103574,x103573,x103572,x103571)),x103576),x103577))+P107(f316(f316(f316(f316(f32(x103571,f905(x103572,f905(x103573,a895))),x103574),x103575),x103576),x103577))
% 163.96/163.65 [10358]~P107(f316(f316(f316(x103585,f511(x103583,x103582,x103587,x103586,x103585,x103584,x103581)),x103586),x103587))+P107(f316(f316(f316(f316(f32(x103581,f905(x103582,f905(x103583,a895))),x103584),x103585),x103586),x103587))
% 163.96/163.65 [10375]~P107(f316(f316(f318(f904(x103751,x103753)),f316(f316(f241(x103751,x103753),x103756),x103757)),f316(f316(f278(x103751,x103752,x103753),x103754),x103755)))+P107(f316(f316(f242(x103751,x103752,x103753,f316(f316(f7(x103751,f905(f904(x103751,x103752),a895),f905(x103752,a895)),f316(f316(f8(f905(x103752,f905(f905(f904(x103751,x103752),a895),a895)),f905(f905(f904(x103751,x103752),a895),f905(x103752,a895)),x103751),f7(x103752,f905(f904(x103751,x103752),a895),a895)),f316(f316(f8(f905(x103752,f904(x103751,x103752)),f905(x103752,f905(f905(f904(x103751,x103752),a895),a895)),x103751),f316(f8(f904(x103751,x103752),f905(f905(f904(x103751,x103752),a895),a895),x103752),f318(f904(x103751,x103752)))),f241(x103751,x103752)))),x103754),f316(f316(f7(x103752,f905(f904(x103752,x103753),a895),f905(x103753,a895)),f316(f316(f8(f905(x103753,f905(f905(f904(x103752,x103753),a895),a895)),f905(f905(f904(x103752,x103753),a895),f905(x103753,a895)),x103752),f7(x103753,f905(f904(x103752,x103753),a895),a895)),f316(f316(f8(f905(x103753,f904(x103752,x103753)),f905(x103753,f905(f905(f904(x103752,x103753),a895),a895)),x103752),f316(f8(f904(x103752,x103753),f905(f905(f904(x103752,x103753),a895),a895),x103753),f318(f904(x103752,x103753)))),f241(x103752,x103753)))),x103755)),x103756),x103757))
% 163.96/163.65 [10385]P107(f316(f316(f318(f904(x103851,x103852)),f316(f316(f241(x103851,x103852),x103853),x103854)),f316(f316(f278(x103851,x103855,x103852),x103856),x103857)))+~P107(f316(f316(f242(x103851,x103855,x103852,f316(f316(f7(x103851,f905(f904(x103851,x103855),a895),f905(x103855,a895)),f316(f316(f8(f905(x103855,f905(f905(f904(x103851,x103855),a895),a895)),f905(f905(f904(x103851,x103855),a895),f905(x103855,a895)),x103851),f7(x103855,f905(f904(x103851,x103855),a895),a895)),f316(f316(f8(f905(x103855,f904(x103851,x103855)),f905(x103855,f905(f905(f904(x103851,x103855),a895),a895)),x103851),f316(f8(f904(x103851,x103855),f905(f905(f904(x103851,x103855),a895),a895),x103855),f318(f904(x103851,x103855)))),f241(x103851,x103855)))),x103856),f316(f316(f7(x103855,f905(f904(x103855,x103852),a895),f905(x103852,a895)),f316(f316(f8(f905(x103852,f905(f905(f904(x103855,x103852),a895),a895)),f905(f905(f904(x103855,x103852),a895),f905(x103852,a895)),x103855),f7(x103852,f905(f904(x103855,x103852),a895),a895)),f316(f316(f8(f905(x103852,f904(x103855,x103852)),f905(x103852,f905(f905(f904(x103855,x103852),a895),a895)),x103855),f316(f8(f904(x103855,x103852),f905(f905(f904(x103855,x103852),a895),a895),x103852),f318(f904(x103855,x103852)))),f241(x103855,x103852)))),x103857)),x103853),x103854))
% 163.96/163.65 [10317]~P147(x103172)+E(f316(f316(f6(x103171,x103172),f316(f316(f7(x103171,f905(x103173,a895),x103172),f316(f316(f8(f905(x103173,x103172),f905(f905(x103173,a895),x103172),x103171),f6(x103173,x103172)),f316(f316(f7(x103171,f905(x103173,x103172),f905(x103173,x103172)),f316(f316(f8(f905(x103172,x103172),f905(f905(x103173,x103172),f905(x103173,x103172)),x103171),f8(x103172,x103172,x103173)),f316(f316(f8(x103172,f905(x103172,x103172),x103171),f75(x103172)),x103174))),x103175))),x103176)),x103177),f316(f316(f75(x103172),f316(f316(f6(x103171,x103172),x103174),x103177)),f316(f316(f6(x103173,x103172),x103175),x103176)))
% 163.96/163.65 [9387]~P16(x93877,x93871,x93873,x93878)+E(f316(f66(x93871,x93871,x93872,f316(x93873,x93874)),f316(f66(x93871,x93871,x93872,f316(x93873,x93875)),x93876)),f316(f66(x93871,x93871,x93872,f316(x93873,x93875)),f316(f66(x93871,x93871,x93872,f316(x93873,x93874)),x93876)))
% 163.96/163.65 [10380]E(f316(f316(f241(x103801,x103802),f316(x103803,f525(x103804,x103805,x103803,x103806,x103807,x103808,x103802,x103801))),f316(x103805,f526(x103804,x103805,x103803,x103806,x103807,x103808,x103802,x103801))),x103808)+~P107(f316(f316(f318(f904(x103801,x103802)),x103808),f316(f299(f904(x103807,x103806),f904(x103801,x103802),f247(x103807,x103801,x103806,x103802,x103803,x103805)),x103804)))
% 163.96/163.65 [10398]~P107(f316(f316(f318(f904(x103988,x103987)),x103986),f316(f299(f904(x103981,x103982),f904(x103988,x103987),f247(x103981,x103988,x103982,x103987,x103985,x103984)),x103983)))+P107(f316(f316(f318(f904(x103981,x103982)),f316(f316(f241(x103981,x103982),f525(x103983,x103984,x103985,x103982,x103981,x103986,x103987,x103988)),f526(x103983,x103984,x103985,x103982,x103981,x103986,x103987,x103988))),x103983))
% 163.96/163.65 [9838]P107(f316(f316(f318(f904(f904(x98381,x98382),f904(x98381,x98382))),f316(f316(f241(f904(x98381,x98382),f904(x98381,x98382)),f316(f316(f241(x98381,x98382),x98383),x98384)),f316(f316(f241(x98381,x98382),x98385),x98386))),f308(x98381,x98382,x98387,x98388)))+~P107(f316(f316(f318(f904(x98381,x98381)),f316(f316(f241(x98381,x98381),x98383),x98385)),x98387))
% 163.96/163.65 [10369]E(f316(f132(x103691,x103692,f316(f7(x103692,x103691,x103691),x103693),f316(x103694,x103695)),x103696),f316(x103694,f316(f132(x103697,x103692,f316(f7(x103692,x103697,x103697),x103698),x103695),x103696)))+P107(f316(f316(f318(x103692),f725(x103695,x103698,x103694,x103693,x103697,x103691,x103696,x103692)),f316(f162(x103692),x103696)))
% 163.96/163.65 [10388]~E(f316(f66(x103881,x103881,x103887,f316(x103883,f725(x103885,x103888,x103884,x103883,x103887,x103881,x103886,x103882))),x103884),f316(f66(x103887,x103881,x103887,x103884),f316(x103888,f725(x103885,x103888,x103884,x103883,x103887,x103881,x103886,x103882))))+E(f316(f132(x103881,x103882,f316(f7(x103882,x103881,x103881),x103883),f316(x103884,x103885)),x103886),f316(x103884,f316(f132(x103887,x103882,f316(f7(x103882,x103887,x103887),x103888),x103885),x103886)))
% 163.96/163.65 [8597]E(f316(x85971,f316(x85972,x85973)),f316(x85974,f316(x85975,x85973)))+~E(f316(f66(x85976,x85977,x85978,x85971),x85972),f316(f66(x85979,x85977,x85978,x85974),x85975))
% 163.96/163.65 [10225]P107(f316(f316(f318(f904(x102251,x102252)),f316(f316(f241(x102251,x102252),f316(x102253,x102254)),f316(x102255,x102256))),f316(f299(f904(x102257,x102258),f904(x102251,x102252),f247(x102257,x102251,x102258,x102252,x102253,x102255)),x102259)))+~P107(f316(f316(f318(f904(x102257,x102258)),f316(f316(f241(x102257,x102258),x102254),x102256)),x102259))
% 163.96/163.65 [8896]~E(f316(x88964,f316(x88965,x88966)),f316(x88969,f316(x889610,x889611)))+E(f316(f316(f66(x88961,x88962,x88963,x88964),x88965),x88966),f316(f316(f66(x88967,x88962,x88968,x88969),x889610),x889611))
% 163.96/163.65 [4664]~P108(x46641)+~P103(x46641)+E(f91(x46641),f222(x46641))
% 163.96/163.65 [4665]~P108(x46651)+~P83(x46651)+E(f100(x46651),f223(x46651))
% 163.96/163.65 [4910]~P123(x49101)+~P98(x49101)+E(f316(f69(x49101),f316(f93(x49101),a87)),f72(x49101))
% 163.96/163.65 [5203]E(x52031,f2(a1))+E(f76(a1,x52031),f316(f73(a1),f72(a1)))+P107(f316(f316(f225(a1),f2(a1)),x52031))
% 163.96/163.65 [5407]E(x54071,f2(a1))+E(f76(a1,x54071),f72(a1))+~P107(f316(f316(f225(a1),f2(a1)),x54071))
% 163.96/163.65 [7463]~P39(x74631)+P107(f316(f54(a1),x74631))+~P107(f316(f54(a898),f316(f299(a1,a898,a94),x74631)))
% 163.96/163.65 [9799]E(x97991,f178(f905(f904(a898,a898),a895)))+~P107(f316(f54(f904(a898,a898)),x97991))+P107(f316(f316(f318(f904(f905(f904(a898,a898),a895),f905(f904(a898,a898),a895))),f316(f316(f241(f905(f904(a898,a898),a895),f905(f904(a898,a898),a895)),f178(f905(f904(a898,a898),a895))),x97991)),a27))
% 163.96/163.65 [9964]E(x99641,f2(a898))+E(x99641,f316(a102,f2(a898)))+~P107(f316(f316(f225(a898),x99641),f316(f93(a898),f316(f316(f74(a1),f316(f316(f23(a1),f316(f316(f74(a1),a77),a77)),a87)),f316(f316(f23(a1),f316(f316(f74(a1),a77),a77)),a87)))))
% 163.96/163.65 [10254]E(x102541,f2(a89))+E(f316(f316(f74(a1),f316(f316(f75(a1),f316(f93(a1),f316(f316(f74(a1),f316(f316(f23(a1),f316(f316(f74(a1),a77),a77)),a87)),f316(f316(f23(a1),f316(f316(f74(a1),a77),a77)),a87)))),f316(a22,f316(f316(f29(a89),x102541),f316(f93(a89),f316(f316(f74(a1),f316(f316(f23(a1),f316(f316(f74(a1),a77),a77)),a87)),f316(f316(f23(a1),f316(f316(f74(a1),a77),a77)),a87))))))),f72(a1)),f316(a22,x102541))+E(f38(a89,x102541,f316(f93(a89),f316(f316(f74(a1),f316(f316(f23(a1),f316(f316(f74(a1),a77),a77)),a87)),f316(f316(f23(a1),f316(f316(f74(a1),a77),a77)),a87)))),f2(a89))
% 163.96/163.65 [10102]E(x101021,f2(a89))+~E(f38(a89,x101021,f316(f93(a89),f316(f316(f74(a1),f316(f316(f23(a1),f316(f316(f74(a1),a77),a77)),a87)),f316(f316(f23(a1),f316(f316(f74(a1),a77),a77)),a87)))),f2(a89))+E(f316(f316(f75(a1),f316(f93(a1),f316(f316(f74(a1),f316(f316(f23(a1),f316(f316(f74(a1),a77),a77)),a87)),f316(f316(f23(a1),f316(f316(f74(a1),a77),a77)),a87)))),f316(a22,f316(f316(f29(a89),x101021),f316(f93(a89),f316(f316(f74(a1),f316(f316(f23(a1),f316(f316(f74(a1),a77),a77)),a87)),f316(f316(f23(a1),f316(f316(f74(a1),a77),a77)),a87)))))),f316(a22,x101021))
% 163.96/163.65 [4745]~P56(x47451,x47452)+P42(x47451,x47452)+~P43(a895)
% 163.96/163.65 [4674]~P146(x46741)+P26(x46741,x46742)+~E(x46742,f2(x46741))
% 163.96/163.65 [4675]~P108(x46751)+P10(x46751,x46752)+~E(x46752,f103(x46751))
% 163.96/163.65 [4684]~P123(x46841)+~E(x46842,f2(x46841))+E(f76(x46841,x46842),f2(x46841))
% 163.96/163.65 [4685]~P92(x46851)+~E(x46852,f2(x46851))+E(f76(x46851,x46852),f2(x46851))
% 163.96/163.65 [4693]~P146(x46932)+~P26(x46932,x46931)+E(x46931,f2(x46932))
% 163.96/163.65 [4738]~P123(x47382)+~E(f76(x47382,x47381),f2(x47382))+E(x47381,f2(x47382))
% 163.96/163.65 [4752]~P61(x47522)+~P61(x47521)+P61(f905(x47521,x47522))
% 163.96/163.65 [4753]~P61(x47532)+~P61(x47531)+P61(f904(x47531,x47532))
% 163.96/163.65 [4754]~P61(x47542)+~P61(x47541)+P61(f906(x47541,x47542))
% 163.96/163.65 [4755]~P3(x47552)+~P3(x47551)+P3(f184(x47551,x47552))
% 163.96/163.65 [4756]~P64(x47562)+~P64(x47561)+P64(f905(x47561,x47562))
% 163.96/163.65 [4757]~P64(x47572)+~P64(x47571)+P64(f904(x47571,x47572))
% 163.96/163.65 [4758]~P64(x47582)+~P64(x47581)+P64(f906(x47581,x47582))
% 163.96/163.65 [4759]~P105(x47592)+~P105(x47591)+P105(f904(x47591,x47592))
% 163.96/163.65 [4882]~P108(x48821)+~P10(x48821,x48822)+P10(x48821,f142(x48821,x48822))
% 163.96/163.65 [5130]~P3(x51302)+~P3(x51301)+P3(f38(a1,x51301,x51302))
% 163.96/163.65 [4695]~P78(x46951)+~E(x46952,f2(x46951))+E(f316(f73(x46951),x46952),x46952)
% 163.96/163.65 [4710]~P141(x47101)+~E(x47102,f2(a1))+E(f316(f92(x47101),x47102),f2(x47101))
% 163.96/163.65 [4711]~P96(x47111)+~E(x47112,f2(a1))+E(f316(f92(x47111),x47112),f2(x47111))
% 163.96/163.65 [4735]~P71(x47351)+~E(f2(x47351),x47352)+E(f316(f73(x47351),x47352),f2(x47351))
% 163.96/163.65 [4736]~P71(x47361)+~E(x47362,f2(x47361))+E(f316(f73(x47361),x47362),f2(x47361))
% 163.96/163.65 [4737]~P89(x47371)+~E(x47372,f2(x47371))+E(f316(f69(x47371),x47372),f2(x47371))
% 163.96/163.65 [4761]~P78(x47612)+E(x47611,f2(x47612))+~E(f316(f73(x47612),x47611),x47611)
% 163.96/163.65 [4763]E(x47631,f316(a94,x47632))+~E(x47631,f2(a898))+~E(x47632,f316(f90(a1),x47631))
% 163.96/163.65 [4764]E(f316(a94,x47641),x47642)+~E(x47642,f2(a898))+~E(x47641,f316(f90(a1),x47642))
% 163.96/163.65 [4768]~P96(x47682)+E(x47681,f2(a1))+~E(f316(f92(x47682),x47681),f2(x47682))
% 163.96/163.65 [4772]~P71(x47722)+E(x47721,f2(x47722))+~E(f316(f73(x47722),x47721),f2(x47722))
% 163.96/163.65 [4773]~P89(x47732)+E(x47731,f2(x47732))+~E(f316(f69(x47732),x47731),f2(x47732))
% 163.96/163.65 [4774]~P71(x47741)+E(f2(x47741),x47742)+~E(f316(f73(x47741),x47742),f2(x47741))
% 163.96/163.65 [4957]~P108(x49571)+~P10(x49571,x49572)+P10(x49571,f316(f161(x49571),x49572))
% 163.96/163.65 [4984]~P107(x49842)+~P107(x49841)+P107(f316(f316(a314,x49841),x49842))
% 163.96/163.65 [5022]~E(f72(a898),f2(a898))+E(f316(f28(x50221),x50222),f2(a898))+~P107(f316(f54(x50221),x50222))
% 163.96/163.65 [5058]~P116(x50581)+~P147(x50581)+E(f316(f316(f233(x50581),f2(x50581)),f316(a102,x50582)),f2(x50581))
% 163.96/163.65 [5098]~P108(x50981)+P10(x50981,f129(x50981,x50982))+~P107(f316(f54(x50981),x50982))
% 163.96/163.65 [5099]~P108(x50991)+P10(x50991,f717(x50992,x50991))+~P107(f316(f54(x50991),x50992))
% 163.96/163.65 [5122]~P108(x51221)+E(f316(f162(x51221),f129(x51221,x51222)),x51222)+~P107(f316(f54(x51221),x51222))
% 163.96/163.65 [5123]~P108(x51231)+E(f316(f162(x51231),f717(x51232,x51231)),x51232)+~P107(f316(f54(x51231),x51232))
% 163.96/163.65 [5152]P107(x51521)+P107(x51522)+~P107(f316(f316(a315,x51522),x51521))
% 163.96/163.65 [5165]E(x51651,f178(f905(x51652,a895)))+~E(f316(f28(x51652),x51651),f2(a898))+~P107(f316(f54(x51652),x51651))
% 163.96/163.65 [5170]P107(x51701)+~P107(x51702)+~P107(f316(f316(a319,x51702),x51701))
% 163.96/163.65 [5221]~P75(x52211)+E(f316(f69(x52211),x52212),x52212)+P107(f316(f316(f225(x52211),x52212),f2(x52211)))
% 163.96/163.65 [5281]~P64(x52812)+~P107(f316(f49(x52812),x52811))+P107(f316(x52811,f718(x52811,x52812)))
% 163.96/163.65 [5282]~P64(x52822)+~P107(f316(f49(x52822),x52821))+P107(f316(x52821,f726(x52821,x52822)))
% 163.96/163.65 [5323]E(x53231,f103(x53232))+P107(f316(f127(x53232),f104(x53232,x53231)))+~P107(f316(f127(x53232),x53231))
% 163.96/163.65 [5328]~P108(x53281)+~P107(f316(f54(x53281),x53282))+P107(f316(f127(x53281),f129(x53281,x53282)))
% 163.96/163.65 [5329]~P108(x53291)+~P107(f316(f54(x53291),x53292))+P107(f316(f127(x53291),f717(x53292,x53291)))
% 163.96/163.65 [5334]~P141(x53341)+E(f316(f90(x53341),f316(a94,x53342)),f316(f92(x53341),x53342))+P107(f316(f316(f225(a1),x53342),f2(a1)))
% 163.96/163.65 [5355]P4(x53552,x53551)+E(f316(x53551,f811(x53551)),f316(x53551,f852(x53551)))+P107(f316(f316(x53551,f811(x53551)),f852(x53551)))
% 163.96/163.65 [5368]E(f316(f90(a1),f416(x53681,x53682)),x53681)+P107(f316(x53682,f316(a94,x53681)))+~P107(f316(x53682,f2(a898)))
% 163.96/163.65 [5381]~P64(x53811)+~P107(f316(x53812,f731(x53812,x53811)))+P107(f316(f50(x53811),x53812))
% 163.96/163.65 [5382]~P64(x53821)+~P107(f316(x53822,f741(x53822,x53821)))+P107(f316(f50(x53821),x53822))
% 163.96/163.65 [5417]~P123(x54171)+~E(f76(x54171,x54172),f316(f73(x54171),f72(x54171)))+P107(f316(f316(f225(x54171),x54172),f2(x54171)))
% 163.96/163.65 [5492]~E(x54922,f2(a1))+E(f205(x54921,x54922),f316(f316(f241(a1,a1),f2(a1)),f72(a1)))+P107(f316(f316(f225(a1),x54922),f2(a1)))
% 163.96/163.65 [5493]~E(x54931,f2(a1))+E(f205(x54931,x54932),f316(f316(f241(a1,a1),f2(a1)),f72(a1)))+P107(f316(f316(f225(a1),x54932),f2(a1)))
% 163.96/163.65 [5546]E(f316(f90(a1),f416(x55461,x55462)),x55461)+P107(f316(x55462,f316(a94,x55461)))+P107(f316(f316(f225(a1),x55461),f2(a1)))
% 163.96/163.65 [5615]~P123(x56151)+E(f76(x56151,x56152),f316(f73(x56151),f72(x56151)))+~P107(f316(f316(f225(x56151),x56152),f2(x56151)))
% 163.96/163.65 [5616]~P89(x56161)+E(f316(f69(x56161),x56162),f316(f73(x56161),x56162))+~P107(f316(f316(f224(x56161),x56162),f2(x56161)))
% 163.96/163.65 [5617]~P89(x56171)+E(f316(f69(x56171),x56172),f316(f73(x56171),x56172))+~P107(f316(f316(f225(x56171),x56172),f2(x56171)))
% 163.96/163.65 [5618]~P75(x56181)+E(f316(f69(x56181),x56182),f316(f73(x56181),x56182))+~P107(f316(f316(f225(x56181),x56182),f2(x56181)))
% 163.96/163.65 [5718]~P107(f316(x57181,f416(x57182,x57181)))+P107(f316(x57181,f316(a94,x57182)))+~P107(f316(x57181,f2(a898)))
% 163.96/163.65 [5725]E(x57251,f2(a898))+E(f316(a102,f365(x57252,x57251)),x57251)+~P107(f316(f316(f225(a898),x57251),f316(a102,x57252)))
% 163.96/163.65 [5729]P4(x57291,x57292)+~E(f316(x57292,f811(x57292)),f316(x57292,f852(x57292)))+~P107(f316(f316(x57292,f811(x57292)),f852(x57292)))
% 163.96/163.65 [5747]~P108(x57471)+P10(x57471,x57472)+P107(f316(f316(f224(a898),f701(x57472,x57471)),f702(x57472,x57471)))
% 163.96/163.65 [5748]~P108(x57481)+P10(x57481,x57482)+P107(f316(f316(f224(a898),f708(x57482,x57481)),f713(x57482,x57481)))
% 163.96/163.65 [5834]~P89(x58341)+~E(x58342,f2(x58341))+P107(f316(f316(f224(x58341),f316(f69(x58341),x58342)),f2(x58341)))
% 163.96/163.65 [5932]~P107(f316(x59321,f416(x59322,x59321)))+P107(f316(x59321,f316(a94,x59322)))+P107(f316(f316(f225(a1),x59322),f2(a1)))
% 163.96/163.65 [5957]~P107(f316(x59571,f316(a94,x59572)))+P107(f316(x59571,f2(a898)))+~P107(f316(f316(f225(a1),x59572),f2(a1)))
% 163.96/163.65 [6308]~P123(x63081)+~P107(f316(f316(f225(x63081),x63082),f2(x63081)))+P107(f316(f316(f225(x63081),f76(x63081,x63082)),f2(x63081)))
% 163.96/163.65 [6426]~P123(x64261)+P107(f316(f316(f224(x64261),f316(f92(x64261),x64262)),f2(x64261)))+~P107(f316(f316(f224(a1),x64262),f2(a1)))
% 163.96/163.65 [6427]~P123(x64271)+P107(f316(f316(f225(x64271),f316(f92(x64271),x64272)),f2(x64271)))+~P107(f316(f316(f225(a1),x64272),f2(a1)))
% 163.96/163.65 [6436]~P89(x64362)+E(x64361,f2(x64362))+~P107(f316(f316(f224(x64362),f316(f69(x64362),x64361)),f2(x64362)))
% 163.96/163.65 [6514]~P141(x65141)+~P107(f316(f316(f318(x65141),x65142),f99(x65141)))+P107(f316(f316(f318(x65141),f316(f73(x65141),x65142)),f99(x65141)))
% 163.96/163.65 [6546]~P123(x65461)+~P107(f316(f316(f225(x65461),f76(x65461,x65462)),f2(x65461)))+P107(f316(f316(f225(x65461),x65462),f2(x65461)))
% 163.96/163.65 [6723]~P123(x67232)+~P107(f316(f316(f224(x67232),f316(f92(x67232),x67231)),f2(x67232)))+P107(f316(f316(f224(a1),x67231),f2(a1)))
% 163.96/163.65 [6724]~P123(x67242)+~P107(f316(f316(f225(x67242),f316(f92(x67242),x67241)),f2(x67242)))+P107(f316(f316(f225(a1),x67241),f2(a1)))
% 163.96/163.65 [7237]~P78(x72371)+~P107(f316(f316(f224(x72371),x72372),f2(x72371)))+P107(f316(f316(f224(x72371),f316(f316(f74(x72371),x72372),x72372)),f2(x72371)))
% 163.96/163.65 [7238]~P123(x72381)+~P107(f316(f316(f225(x72381),x72382),f2(x72381)))+P107(f316(f316(f225(x72381),f316(f316(f74(x72381),x72382),x72382)),f2(x72381)))
% 163.96/163.65 [7239]~P78(x72391)+~P107(f316(f316(f225(x72391),x72392),f2(x72391)))+P107(f316(f316(f225(x72391),f316(f316(f74(x72391),x72392),x72392)),f2(x72391)))
% 163.96/163.65 [7810]~P78(x78101)+~P107(f316(f316(f224(x78101),f316(f316(f74(x78101),x78102),x78102)),f2(x78101)))+P107(f316(f316(f224(x78101),x78102),f2(x78101)))
% 163.96/163.65 [7811]~P123(x78111)+~P107(f316(f316(f225(x78111),f316(f316(f74(x78111),x78112),x78112)),f2(x78111)))+P107(f316(f316(f225(x78111),x78112),f2(x78111)))
% 163.96/163.65 [7812]~P78(x78121)+~P107(f316(f316(f225(x78121),f316(f316(f74(x78121),x78122),x78122)),f2(x78121)))+P107(f316(f316(f225(x78121),x78122),f2(x78121)))
% 163.96/163.65 [4809]~E(x48092,f72(a898))+~E(x48091,f72(a898))+E(f316(f316(f75(a898),x48091),x48092),f72(a898))
% 163.96/163.65 [4810]~E(x48102,f72(a1))+~E(x48101,f72(a1))+E(f316(f316(f75(a1),x48101),x48102),f72(a1))
% 163.96/163.65 [4811]~E(x48112,f2(a898))+~E(x48111,f2(a898))+E(f316(f316(f74(a898),x48111),x48112),f2(a898))
% 163.96/163.65 [4866]~P62(x48662)+E(x48661,f2(x48662))+E(f316(f316(f29(x48662),x48661),x48661),f72(x48662))
% 163.96/163.65 [4867]~P120(x48672)+E(x48671,f2(x48672))+E(f316(f316(f280(x48672),x48671),x48671),f72(x48672))
% 163.96/163.65 [4868]~P121(x48682)+E(x48681,f2(x48682))+E(f316(f316(f280(x48682),x48681),x48681),f72(x48682))
% 163.96/163.65 [4888]~P140(x48881)+~E(x48882,f72(x48881))+E(f316(f316(f75(x48881),x48882),x48882),f72(x48881))
% 163.96/163.65 [4889]~P78(x48891)+~E(x48892,f2(x48891))+E(f316(f316(f74(x48891),x48892),x48892),f2(x48891))
% 163.96/163.65 [4890]~P121(x48901)+~E(x48902,f2(x48901))+E(f316(f316(f280(x48901),x48902),x48902),f2(x48901))
% 163.96/163.65 [4935]~E(x49352,f2(a898))+~E(x49351,f2(a898))+E(f316(f73(a1),f316(f90(a1),x49351)),f316(f90(a1),x49352))
% 163.96/163.65 [4954]E(x49541,f72(a898))+E(x49542,f2(a898))+~E(f316(f316(f75(a898),x49542),x49541),x49542)
% 163.96/163.65 [4966]E(x49661,f2(a898))+E(x49662,f2(a898))+~E(f316(f316(f75(a898),x49662),x49661),f2(a898))
% 163.96/163.65 [4993]~E(x49932,f2(a898))+~E(x49931,f316(a102,f2(a898)))+E(f316(f316(f74(a898),x49931),x49932),f316(a102,f2(a898)))
% 163.96/163.65 [4994]~E(x49941,f2(a898))+~E(x49942,f316(a102,f2(a898)))+E(f316(f316(f74(a898),x49941),x49942),f316(a102,f2(a898)))
% 163.96/163.65 [5001]E(x50011,f72(a1))+E(x50012,f316(f93(a1),a87))+~E(f316(f316(f75(a1),x50011),x50012),f72(a1))
% 163.96/163.65 [5002]E(x50021,f72(a1))+E(x50022,f316(f93(a1),a87))+~E(f316(f316(f75(a1),x50022),x50021),f72(a1))
% 163.96/163.65 [5003]E(x50031,f72(a1))+E(x50031,f316(f93(a1),a87))+~E(f316(f316(f75(a1),x50032),x50031),f72(a1))
% 163.96/163.65 [5005]E(x50051,f72(a1))+E(x50051,f316(f93(a1),a87))+~E(f316(f316(f75(a1),x50051),x50052),f72(a1))
% 163.96/163.65 [5030]~P78(x50302)+E(x50301,f2(x50302))+~E(f316(f316(f74(x50302),x50301),x50301),f2(x50302))
% 163.96/163.65 [5036]~E(x50361,f316(f93(a1),a87))+~E(x50362,f316(f93(a1),a87))+E(f316(f316(f75(a1),x50361),x50362),f72(a1))
% 163.96/163.65 [5047]E(x50471,f2(a898))+E(x50472,f2(a898))+~E(f316(f316(f74(a898),x50472),x50471),f316(a102,f2(a898)))
% 163.96/163.65 [5057]~P98(x50571)+~P65(x50571)+E(f316(f316(f280(x50571),x50572),f316(f93(x50571),a77)),f2(x50571))
% 163.96/163.65 [5064]~P140(x50641)+~E(x50642,f316(f73(x50641),f72(x50641)))+E(f316(f316(f75(x50641),x50642),x50642),f72(x50641))
% 163.96/163.65 [5069]~P3(x50692)+~P3(x50691)+P3(f316(f316(f75(a1),x50691),x50692))
% 163.96/163.65 [5070]~P3(x50702)+~P3(x50701)+P3(f316(f316(f74(a1),x50701),x50702))
% 163.96/163.65 [5071]~P3(x50712)+~P3(x50711)+P3(f316(f316(f29(a1),x50711),x50712))
% 163.96/163.65 [5073]~E(x50732,f2(a1))+E(x50731,f2(a1))+E(f39(x50731,x50732),f316(f316(f241(a1,a1),f2(a1)),x50731))
% 163.96/163.65 [5096]~E(x50962,f316(a102,f2(a898)))+~E(x50961,f316(a102,f2(a898)))+E(f316(f316(f75(a898),x50961),x50962),f316(a102,f2(a898)))
% 163.96/163.65 [5113]E(x51131,f2(a898))+E(x51132,f316(a102,f2(a898)))+~E(f316(f316(f233(a898),x51132),x51131),f316(a102,f2(a898)))
% 163.96/163.65 [5114]E(x51141,f2(a898))+E(x51141,f316(a102,f2(a898)))+~E(f316(f316(f74(a898),x51142),x51141),f316(a102,f2(a898)))
% 163.96/163.65 [5115]E(x51151,f2(a898))+E(x51151,f316(a102,f2(a898)))+~E(f316(f316(f74(a898),x51151),x51152),f316(a102,f2(a898)))
% 163.96/163.65 [5124]~P98(x51241)+~P65(x51241)+E(f316(f316(f280(x51241),x51242),f316(f93(x51241),a87)),f316(f73(x51241),x51242))
% 163.96/163.65 [5144]E(x51441,f316(a94,x51442))+~E(x51441,f2(a898))+P107(f316(f316(f224(a1),f2(a1)),x51442))
% 163.96/163.65 [5145]E(f316(a94,x51451),x51452)+~E(x51452,f2(a898))+P107(f316(f316(f224(a1),f2(a1)),x51451))
% 163.96/163.65 [5161]E(x51611,f316(a102,f2(a898)))+E(x51612,f316(a102,f2(a898)))+~E(f316(f316(f74(a898),x51611),x51612),f316(a102,f2(a898)))
% 163.96/163.65 [5172]~E(x51721,f316(a94,x51722))+E(x51721,f2(a898))+P107(f316(f316(f224(a1),f2(a1)),x51722))
% 163.96/163.65 [5173]~E(f316(a94,x51732),x51731)+E(x51731,f2(a898))+P107(f316(f316(f224(a1),f2(a1)),x51732))
% 163.96/163.65 [5196]~P84(x51961)+E(f316(f56(x51961,f91(x51961)),x51962),f10(x51961,x51962))+~P107(f316(f54(x51961),x51962))
% 163.96/163.65 [5197]~P84(x51971)+E(f316(f56(x51971,f100(x51971)),x51972),f13(x51971,x51972))+~P107(f316(f54(x51971),x51972))
% 163.96/163.65 [5198]~P108(x51981)+E(f316(f56(x51981,f222(x51981)),x51982),f14(x51981,x51982))+~P107(f316(f54(x51981),x51982))
% 163.96/163.65 [5199]~P108(x51991)+E(f316(f56(x51991,f223(x51991)),x51992),f15(x51991,x51992))+~P107(f316(f54(x51991),x51992))
% 163.96/163.65 [5276]E(x52761,x52762)+~E(f316(f316(f23(a898),x52762),x52761),f2(a898))+~E(f316(f316(f23(a898),x52761),x52762),f2(a898))
% 163.96/163.65 [5293]P3(x52931)+~P39(x52932)+~P107(f316(f316(f318(a1),x52931),x52932))
% 163.96/163.65 [5324]~P123(x53241)+~E(f76(x53241,x53242),f72(x53241))+P107(f316(f316(f225(x53241),f2(x53241)),x53242))
% 163.96/163.65 [5335]~P98(x53351)+E(f316(f90(x53351),f316(f93(a898),x53352)),f316(f93(x53351),x53352))+P107(f316(a183,f316(f93(a1),x53352)))
% 163.96/163.65 [5340]~P42(x53401,x53402)+P43(a895)+P107(f316(f54(f904(x53401,x53401)),x53402))
% 163.96/163.65 [5409]~P108(x54091)+E(f316(f56(x54091,f222(x54091)),x54092),f11(x54091,f222(x54091),x54092))+~P107(f316(f54(x54091),x54092))
% 163.96/163.65 [5410]~P108(x54101)+E(f316(f56(x54101,f223(x54101)),x54102),f12(x54101,f223(x54101),x54102))+~P107(f316(f54(x54101),x54102))
% 163.96/163.65 [5424]E(x54241,x54242)+P107(f316(f316(f225(a898),x54242),x54241))+P107(f316(f316(f225(a898),x54241),x54242))
% 163.96/163.65 [5425]E(x54251,x54252)+P107(f316(f316(f225(a1),x54252),x54251))+P107(f316(f316(f225(a1),x54251),x54252))
% 163.96/163.65 [5479]~P98(x54791)+E(f316(f90(x54791),f316(f93(a898),x54792)),f2(x54791))+~P107(f316(a183,f316(f93(a1),x54792)))
% 163.96/163.65 [5482]~E(x54822,f316(a94,x54821))+E(x54821,f316(f90(a1),x54822))+~P107(f316(f316(f224(a1),f2(a1)),x54821))
% 163.96/163.65 [5483]~E(f316(a94,x54831),x54832)+E(x54831,f316(f90(a1),x54832))+~P107(f316(f316(f224(a1),f2(a1)),x54831))
% 163.96/163.65 [5484]~E(x54841,f316(a94,x54842))+E(f316(f90(a1),x54841),x54842)+~P107(f316(f316(f224(a1),f2(a1)),x54842))
% 163.96/163.65 [5494]E(x54941,f316(a94,x54942))+~E(x54942,f316(f90(a1),x54941))+~P107(f316(f316(f224(a1),f2(a1)),x54942))
% 163.96/163.65 [5495]E(f316(a94,x54951),x54952)+~E(x54951,f316(f90(a1),x54952))+~P107(f316(f316(f224(a1),f2(a1)),x54951))
% 163.96/163.65 [5526]~P117(x55262)+E(x55261,f2(x55262))+~P107(f316(f316(f276(x55262),f2(x55262)),x55261))
% 163.96/163.65 [5537]~P89(x55372)+E(x55371,f2(x55372))+P107(f316(f316(f225(x55372),f2(x55372)),f316(f69(x55372),x55371)))
% 163.96/163.65 [5602]~P123(x56021)+E(f76(x56021,x56022),f72(x56021))+~P107(f316(f316(f225(x56021),f2(x56021)),x56022))
% 163.96/163.65 [5608]~P98(x56081)+E(f316(f90(x56081),f316(f93(a898),x56082)),f2(x56081))+P107(f316(f316(f224(a1),f2(a1)),f316(f93(a1),x56082)))
% 163.96/163.65 [5619]~P89(x56191)+E(f316(f69(x56191),x56192),x56192)+~P107(f316(f316(f224(x56191),f2(x56191)),x56192))
% 163.96/163.65 [5620]~P89(x56201)+E(f316(f69(x56201),x56202),x56202)+~P107(f316(f316(f225(x56201),f2(x56201)),x56202))
% 163.96/163.65 [5629]E(x56291,f2(a898))+~E(f129(a898,f316(f291(a898,x56292),x56291)),f103(a898))+P107(f316(f316(f224(a898),x56291),x56292))
% 163.96/163.65 [5639]~P76(x56391)+E(f316(f316(f6(x56391,x56391),f5(x56391)),f316(f162(x56391),x56392)),f316(f155(x56391),x56392))+~P107(f316(f127(x56391),x56392))
% 163.96/163.65 [5642]~P141(x56421)+E(f316(f90(x56421),f316(a94,x56422)),f316(f92(x56421),x56422))+~P107(f316(f316(f224(a1),f2(a1)),x56422))
% 163.96/163.65 [5669]E(x56691,x56692)+P107(f316(f316(f225(a898),x56691),x56692))+~P107(f316(f316(f224(a898),x56691),x56692))
% 163.96/163.65 [5670]E(x56701,x56702)+P107(f316(f316(f225(a1),x56701),x56702))+~P107(f316(f316(f224(a1),x56701),x56702))
% 163.96/163.65 [5673]E(x56731,f72(a1))+~E(f316(f316(f75(a1),x56732),x56731),f72(a1))+~P107(f316(f316(f225(a1),f2(a1)),x56732))
% 163.96/163.65 [5674]E(x56741,f72(a1))+~E(f316(f316(f75(a1),x56741),x56742),f72(a1))+~P107(f316(f316(f225(a1),f2(a1)),x56741))
% 163.96/163.65 [5715]~P39(x57152)+P107(f316(f316(f224(a1),f2(a1)),x57151))+~P107(f316(f316(f318(a1),x57151),x57152))
% 163.96/163.65 [5734]~P56(x57341,x57342)+P36(x57341,x57342)+~P107(f316(f54(f904(x57341,x57341)),x57342))
% 163.96/163.65 [5736]~P56(x57361,x57362)+P42(x57361,x57362)+~P107(f316(f54(f904(x57361,x57361)),x57362))
% 163.96/163.65 [5778]E(x57781,f178(f905(x57782,a895)))+~P107(f316(f54(x57782),x57781))+P107(f316(f316(f225(a898),f2(a898)),f316(f28(x57782),x57781)))
% 163.96/163.65 [5805]~P107(f316(x58051,x58052))+P107(f316(x58051,f2(a898)))+P107(f316(f316(f225(a898),f472(x58052,x58051)),x58052))
% 163.96/163.65 [5828]E(x58281,f2(a898))+~E(f316(f155(a898),x58282),f2(a898))+~P107(f316(f316(f318(a898),x58281),f316(f162(a898),x58282)))
% 163.96/163.65 [5894]~E(f324(x58942,x58941),f325(x58942,x58941))+~P36(x58941,f326(x58942,x58941))+P36(x58941,f30(f905(f904(x58941,x58941),a895),x58942))
% 163.96/163.65 [5897]E(x58971,x58972)+~P107(f316(f316(f224(a898),x58972),x58971))+~P107(f316(f316(f224(a898),x58971),x58972))
% 163.96/163.65 [5898]E(x58981,x58982)+~P107(f316(f316(f224(a1),x58982),x58981))+~P107(f316(f316(f224(a1),x58981),x58982))
% 163.96/163.65 [5907]E(x59071,x59072)+~P107(f316(f316(f276(a898),x59072),x59071))+~P107(f316(f316(f276(a898),x59071),x59072))
% 163.96/163.65 [5909]E(f316(f28(x59091),x59092),f2(a898))+~P107(f316(f54(x59091),x59092))+P107(f316(f316(f318(x59091),f588(x59092,x59091)),x59092))
% 163.96/163.65 [5918]E(f43(x59181,x59182),f39(x59181,x59182))+P107(f316(f316(f224(a1),f2(a1)),x59181))+~P107(f316(f316(f225(a1),f2(a1)),x59182))
% 163.96/163.65 [5944]~P107(f316(x59441,f418(x59441)))+P107(f316(x59441,f316(a94,x59442)))+~P107(f316(f316(f224(a1),f2(a1)),x59442))
% 163.96/163.65 [5947]P107(f316(f316(f224(a898),x59471),f348(x59472)))+~P107(f316(f54(a898),x59472))+~P107(f316(f316(f318(a898),x59471),x59472))
% 163.96/163.65 [5948]P107(f316(f316(f225(a898),x59481),f333(x59482)))+~P107(f316(f54(a898),x59482))+~P107(f316(f316(f318(a898),x59481),x59482))
% 163.96/163.65 [5979]E(x59791,x59792)+~P107(f316(f316(f225(a898),x59791),f316(a102,x59792)))+P107(f316(f316(f225(a898),x59791),x59792))
% 163.96/163.65 [6014]E(x60141,f316(a102,x60142))+~P107(f316(f316(f224(a898),x60141),f316(a102,x60142)))+P107(f316(f316(f224(a898),x60141),x60142))
% 163.96/163.65 [6030]P107(f316(x60301,f419(x60301)))+~P107(f316(x60301,f316(a94,x60302)))+~P107(f316(f316(f224(a1),f2(a1)),x60302))
% 163.96/163.65 [6046]~P107(f316(x60461,x60462))+~P107(f316(f316(f224(a1),f2(a1)),x60462))+P107(f316(x60461,f316(f90(a1),f423(x60461))))
% 163.96/163.65 [6057]~P89(x60572)+~E(x60571,f2(x60572))+~P107(f316(f316(f225(x60572),f2(x60572)),f316(f69(x60572),x60571)))
% 163.96/163.65 [6082]~P56(x60821,x60822)+P36(x60821,f316(f275(x60821,x60821),x60822))+~P107(f316(f54(f904(x60821,x60821)),x60822))
% 163.96/163.65 [6091]~P98(x60911)+E(f316(f90(x60911),f316(f93(a898),x60912)),f316(f93(x60911),x60912))+~P107(f316(f316(f224(a1),f2(a1)),f316(f93(a1),x60912)))
% 163.96/163.65 [6094]E(f316(a102,x60941),x60942)+~P107(f316(f316(f225(a898),x60941),x60942))+P107(f316(f316(f225(a898),f316(a102,x60941)),x60942))
% 163.96/163.65 [6110]E(f316(f316(f29(a1),x61101),x61102),f2(a1))+~P107(f316(f316(f224(a1),x61101),f2(a1)))+~P107(f316(f316(f225(a1),x61102),x61101))
% 163.96/163.65 [6122]E(f38(a1,x61221,x61222),x61221)+~P107(f316(f316(f224(a1),x61221),f2(a1)))+~P107(f316(f316(f225(a1),x61222),x61221))
% 163.96/163.65 [6136]E(f40(x61361,x61362),f39(x61361,x61362))+~P107(f316(f316(f224(a1),f2(a1)),x61361))+~P107(f316(f316(f224(a1),f2(a1)),x61362))
% 163.96/163.65 [6146]E(f316(f316(f29(a1),x61461),x61462),f2(a1))+~P107(f316(f316(f224(a1),f2(a1)),x61461))+~P107(f316(f316(f225(a1),x61461),x61462))
% 163.96/163.65 [6157]E(f38(a898,f316(f93(a898),x61571),f316(f93(a898),x61572)),f316(f93(a898),x61571))+P107(f316(a183,f316(f93(a1),x61571)))+~P107(f316(a183,f316(f93(a1),x61572)))
% 163.96/163.65 [6159]E(f38(a1,x61591,x61592),x61591)+~P107(f316(f316(f224(a1),f2(a1)),x61591))+~P107(f316(f316(f225(a1),x61591),x61592))
% 163.96/163.65 [6160]E(x61601,x61602)+~P107(f316(f316(f225(a898),x61601),f316(a102,x61602)))+~P107(f316(f316(f224(a898),x61602),x61601))
% 163.96/163.65 [6174]~P78(x61741)+~P107(f316(f316(f224(x61741),x61742),f2(x61741)))+P107(f316(f316(f224(x61741),x61742),f316(f73(x61741),x61742)))
% 163.96/163.65 [6175]~P123(x61751)+~P107(f316(f316(f225(x61751),x61752),f2(x61751)))+P107(f316(f316(f225(x61751),x61752),f316(f73(x61751),x61752)))
% 163.96/163.65 [6185]~P2(x61851)+E(f316(f316(f57(x61851,x61851,f100(x61851)),f178(x61851)),x61852),f30(x61851,x61852))+~P107(f316(f54(x61851),x61852))
% 163.96/163.65 [6186]~P2(x61861)+E(f316(f316(f57(x61861,x61861,f91(x61861)),f231(x61861)),x61862),f31(x61861,x61862))+~P107(f316(f54(x61861),x61862))
% 163.96/163.65 [6203]~P123(x62031)+~P107(f316(f316(f224(a1),f2(a1)),x62032))+P107(f316(f316(f224(x62031),f2(x62031)),f316(f92(x62031),x62032)))
% 163.96/163.65 [6204]~P126(x62041)+~P107(f316(f316(f225(a898),f2(a898)),x62042))+P107(f316(f316(f225(x62041),f2(x62041)),f316(f90(x62041),x62042)))
% 163.96/163.65 [6205]~P123(x62051)+~P107(f316(f316(f225(a1),f2(a1)),x62052))+P107(f316(f316(f225(x62051),f2(x62051)),f316(f92(x62051),x62052)))
% 163.96/163.65 [6208]~P3(x62082)+~P3(x62081)+E(f316(f299(a898,a1,f90(a1)),f292(a898,f316(a94,x62081),f316(a94,x62082))),f292(a1,x62081,x62082))
% 163.96/163.65 [6214]P107(f316(x62141,x62142))+~P107(f316(f316(f224(a1),f2(a1)),x62142))+~P107(f316(x62141,f316(f90(a1),f425(x62141))))
% 163.96/163.65 [6246]E(f316(f316(f74(a898),f316(f93(a898),x62461)),f316(f93(a898),x62462)),f316(f93(a898),x62461))+P107(f316(f316(f225(a1),x62461),a77))+~P107(f316(f316(f225(a1),x62462),a77))
% 163.96/163.65 [6250]~P123(x62501)+P107(f316(f316(f225(x62501),f2(x62501)),f76(x62501,x62502)))+~P107(f316(f316(f225(x62501),f2(x62501)),x62502))
% 163.96/163.65 [6264]~P79(x62641)+~P107(f316(f316(f224(x62641),x62642),f2(x62641)))+P107(f316(f316(f224(x62641),f2(x62641)),f316(f73(x62641),x62642)))
% 163.96/163.65 [6265]~P79(x62651)+~P107(f316(f316(f225(x62651),x62652),f2(x62651)))+P107(f316(f316(f225(x62651),f2(x62651)),f316(f73(x62651),x62652)))
% 163.96/163.65 [6268]E(x62681,f231(f905(x62682,a895)))+~E(f316(f28(x62682),x62681),f316(f28(x62682),f231(f905(x62682,a895))))+~P107(f316(f54(x62682),f231(f905(x62682,a895))))
% 163.96/163.65 [6300]~P78(x63001)+P107(f316(f316(f224(x63001),x63002),f2(x63001)))+~P107(f316(f316(f224(x63001),x63002),f316(f73(x63001),x63002)))
% 163.96/163.65 [6301]~P123(x63011)+P107(f316(f316(f225(x63011),x63012),f2(x63011)))+~P107(f316(f316(f225(x63011),x63012),f316(f73(x63011),x63012)))
% 163.96/163.65 [6310]~P98(x63101)+P107(f316(f316(f318(x63101),f316(f93(x63101),x63102)),f176(x63101)))+~P107(f316(f316(f224(a1),a77),x63102))
% 163.96/163.65 [6339]E(x63391,f2(a898))+~P107(f316(f316(f225(a898),x63391),f316(a102,x63392)))+P107(f316(f316(f225(a898),f365(x63392,x63391)),x63392))
% 163.96/163.65 [6363]~P123(x63631)+~P107(f316(f316(f225(x63631),f2(x63631)),f76(x63631,x63632)))+P107(f316(f316(f225(x63631),f2(x63631)),x63632))
% 163.96/163.65 [6365]~E(f316(f93(a898),x63652),f316(f93(a898),x63651))+P107(f316(f316(f224(a1),f316(f93(a1),x63651)),f2(a1)))+~P107(f316(a183,f316(f93(a1),x63652)))
% 163.96/163.65 [6394]E(f316(f240(a1,a1),f43(x63941,x63942)),f316(f316(f29(a1),x63941),x63942))+~P107(f316(f316(f225(a1),x63941),f2(a1)))+~P107(f316(f316(f225(a1),f2(a1)),x63942))
% 163.96/163.65 [6434]E(f316(f245(a1,a1),f43(x64341,x64342)),f38(a1,x64341,x64342))+~P107(f316(f316(f225(a1),x64341),f2(a1)))+~P107(f316(f316(f225(a1),f2(a1)),x64342))
% 163.96/163.65 [6437]~P123(x64372)+~P107(f316(f316(f224(x64372),f2(x64372)),f316(f92(x64372),x64371)))+P107(f316(f316(f224(a1),f2(a1)),x64371))
% 163.96/163.65 [6438]~P126(x64382)+~P107(f316(f316(f225(x64382),f2(x64382)),f316(f90(x64382),x64381)))+P107(f316(f316(f225(a898),f2(a898)),x64381))
% 163.96/163.65 [6439]~P123(x64392)+~P107(f316(f316(f225(x64392),f2(x64392)),f316(f92(x64392),x64391)))+P107(f316(f316(f225(a1),f2(a1)),x64391))
% 163.96/163.65 [6442]E(f316(f240(a1,a1),f40(x64421,x64422)),f316(f316(f29(a1),x64421),x64422))+~P107(f316(f316(f224(a1),f2(a1)),x64422))+~P107(f316(f316(f225(a1),f2(a1)),x64421))
% 163.96/163.65 [6456]E(f316(f245(a1,a1),f40(x64561,x64562)),f38(a1,x64561,x64562))+~P107(f316(f316(f224(a1),f2(a1)),x64562))+~P107(f316(f316(f225(a1),f2(a1)),x64561))
% 163.96/163.65 [6472]~P79(x64721)+P107(f316(f316(f224(x64721),x64722),f2(x64721)))+~P107(f316(f316(f224(x64721),f2(x64721)),f316(f73(x64721),x64722)))
% 163.96/163.65 [6473]~P79(x64731)+P107(f316(f316(f225(x64731),x64732),f2(x64731)))+~P107(f316(f316(f225(x64731),f2(x64731)),f316(f73(x64731),x64732)))
% 163.96/163.65 [6499]P107(f316(f42(x64991,x64992),f43(x64991,x64992)))+~P107(f316(f316(f225(a1),x64991),f2(a1)))+~P107(f316(f316(f225(a1),f2(a1)),x64992))
% 163.96/163.65 [6513]~P107(f316(f316(f225(a898),f2(a898)),x65131))+~P107(f316(f316(f276(a898),x65132),x65131))+~P107(f316(f316(f225(a898),x65131),x65132))
% 163.96/163.65 [6526]P107(f316(f42(x65261,x65262),f40(x65261,x65262)))+~P107(f316(f316(f224(a1),f2(a1)),x65261))+~P107(f316(f316(f225(a1),f2(a1)),x65262))
% 163.96/163.65 [6569]~P79(x65691)+P107(f316(f316(f224(x65691),f316(f73(x65691),x65692)),f2(x65691)))+~P107(f316(f316(f224(x65691),f2(x65691)),x65692))
% 163.96/163.65 [6570]~P79(x65701)+P107(f316(f316(f225(x65701),f316(f73(x65701),x65702)),f2(x65701)))+~P107(f316(f316(f225(x65701),f2(x65701)),x65702))
% 163.96/163.65 [6590]E(f316(f316(f23(a898),f316(a94,x65901)),f316(a94,x65902)),f316(a94,f184(x65901,x65902)))+~P107(f316(f316(f224(a1),f2(a1)),x65902))+~P107(f316(f316(f224(a1),f2(a1)),x65901))
% 163.96/163.65 [6608]P107(f316(f316(f224(a1),f2(a1)),f184(x66081,x66082)))+~P107(f316(f316(f224(a1),f2(a1)),x66082))+~P107(f316(f316(f224(a1),f2(a1)),x66081))
% 163.96/163.65 [6645]~P107(f316(x66451,x66452))+P107(f316(x66451,f2(a898)))+P107(f316(x66451,f316(f316(f74(a898),f472(x66452,x66451)),f72(a898))))
% 163.96/163.65 [6730]E(f316(f93(a898),x67301),f316(f93(a898),x67302))+~P107(f316(f316(f224(a1),f316(f93(a1),x67302)),f2(a1)))+~P107(f316(a183,f316(f93(a1),x67301)))
% 163.96/163.65 [6744]~E(x67441,f2(a898))+~E(f667(x67442,x67441),f2(a898))+E(f316(f132(a898,a898,f74(a898),x67441),x67442),f2(a898))
% 163.96/163.65 [6768]~P107(f316(f54(x67681),f335(x67682,x67681)))+~P107(f316(f54(f905(x67681,a895)),x67682))+P107(f316(f54(x67681),f30(f905(x67681,a895),x67682)))
% 163.96/163.65 [6774]E(x67741,x67742)+P107(f316(f316(f225(a1),x67741),x67742))+~P107(f316(f316(f225(a1),x67741),f316(f316(f74(a1),x67742),f72(a1))))
% 163.96/163.65 [6775]P107(f316(f316(f224(a898),f316(a94,x67751)),f316(a94,x67752)))+~P107(f316(f316(f224(a1),f2(a1)),x67752))+~P107(f316(f316(f224(a1),x67751),x67752))
% 163.96/163.65 [6776]P107(f316(f316(f224(a898),f316(a94,x67761)),f316(a94,x67762)))+~P107(f316(f316(f225(a1),f2(a1)),x67761))+~P107(f316(f316(f224(a1),x67761),x67762))
% 163.96/163.65 [6778]P107(f316(f316(f225(a898),f316(a94,x67781)),f316(a94,x67782)))+~P107(f316(f316(f224(a1),f2(a1)),x67781))+~P107(f316(f316(f225(a1),x67781),x67782))
% 163.96/163.65 [6779]P107(f316(f316(f225(a898),f316(a94,x67791)),f316(a94,x67792)))+~P107(f316(f316(f225(a1),f2(a1)),x67792))+~P107(f316(f316(f225(a1),x67791),x67792))
% 163.96/163.65 [6790]E(f38(a898,f316(a94,x67901),f316(a94,x67902)),f316(a94,f38(a1,x67901,x67902)))+~P107(f316(f316(f224(a1),f2(a1)),x67902))+~P107(f316(f316(f224(a1),f2(a1)),x67901))
% 163.96/163.65 [6814]~P79(x68141)+~P107(f316(f316(f224(x68141),f316(f73(x68141),x68142)),f2(x68141)))+P107(f316(f316(f224(x68141),f2(x68141)),x68142))
% 163.96/163.65 [6815]~P79(x68151)+~P107(f316(f316(f225(x68151),f316(f73(x68151),x68152)),f2(x68151)))+P107(f316(f316(f225(x68151),f2(x68151)),x68152))
% 163.96/163.65 [6830]~P107(f316(f316(f225(a1),a77),x68302))+~P107(f316(f316(f225(a1),x68301),x68302))+P107(f316(f316(f225(a898),f316(f93(a898),x68301)),f316(f93(a898),x68302)))
% 163.96/163.65 [6924]~P107(f316(f316(f224(a1),f2(a1)),x69241))+P107(f316(f316(f225(a898),f316(a94,x69241)),x69242))+~P107(f316(f316(f225(a1),x69241),f316(f90(a1),x69242)))
% 163.96/163.65 [6929]P107(f316(x69291,x69292))+~P107(f316(x69291,f316(a20,f809(x69291,x69292))))+~P107(f316(f316(f318(a898),x69292),f231(f905(a898,a895))))
% 163.96/163.65 [6940]E(x69401,f2(a1))+E(f38(a1,x69402,x69401),f2(a1))+E(f316(f316(f23(a1),f316(f73(a1),f316(f316(f29(a1),x69402),x69401))),f72(a1)),f316(f316(f29(a1),x69402),f316(f73(a1),x69401)))
% 163.96/163.65 [6954]~P107(f316(f316(f224(a1),f2(a1)),x69541))+~P107(f316(f316(f225(a898),f316(a94,x69541)),x69542))+P107(f316(f316(f225(a1),x69541),f316(f90(a1),x69542)))
% 163.96/163.65 [6990]~P107(f316(f316(f224(a898),f316(a94,x69901)),f316(a94,x69902)))+~P107(f316(f316(f224(a1),f2(a1)),x69902))+P107(f316(f316(f224(a1),x69901),x69902))
% 163.96/163.65 [6991]~P107(f316(f316(f224(a898),f316(a94,x69911)),f316(a94,x69912)))+~P107(f316(f316(f225(a1),f2(a1)),x69911))+P107(f316(f316(f224(a1),x69911),x69912))
% 163.96/163.65 [7020]P107(f316(f316(f224(a1),x70201),x70202))+~P107(f316(f316(f224(a898),f316(f93(a898),x70201)),f316(f93(a898),x70202)))+P107(f316(f316(f224(a1),x70201),a77))
% 163.96/163.65 [7045]P107(f316(f316(f224(a1),f2(a1)),f38(a1,x70451,x70452)))+~P107(f316(f316(f224(a1),f2(a1)),x70452))+~P107(f316(f316(f224(a1),f2(a1)),x70451))
% 163.96/163.65 [7145]P107(f316(f316(f225(a1),a77),x71451))+~P107(f316(f316(f225(a1),x71452),x71451))+~P107(f316(f316(f225(a898),f316(f93(a898),x71452)),f316(f93(a898),x71451)))
% 163.96/163.65 [7199]E(f316(f316(f241(a1,a1),f316(f316(f29(a1),x71991),x71992)),f38(a1,x71991,x71992)),f43(x71991,x71992))+~P107(f316(f316(f225(a1),x71991),f2(a1)))+~P107(f316(f316(f225(a1),f2(a1)),x71992))
% 163.96/163.65 [7219]E(f316(f316(f241(a1,a1),f316(f316(f29(a1),x72191),x72192)),f38(a1,x72191,x72192)),f40(x72191,x72192))+~P107(f316(f316(f224(a1),f2(a1)),x72192))+~P107(f316(f316(f224(a1),f2(a1)),x72191))
% 163.96/163.65 [7273]~P99(x72732)+E(x72731,f103(x72732))+E(f316(f132(x72732,x72732,f75(x72732),f316(f131(x72732),x72731)),f316(f161(x72732),x72731)),f316(f56(x72732,f75(x72732)),f316(f162(x72732),x72731)))
% 163.96/163.65 [7390]~E(x73901,f2(a898))+E(f316(f132(a898,a898,f74(a898),x73901),x73902),f2(a898))+P107(f316(f316(f318(a898),f667(x73902,x73901)),f316(f162(a898),x73902)))
% 163.96/163.65 [7442]~P107(f316(f316(f224(a1),x74421),f2(a1)))+P107(f316(f316(f224(a1),f316(f316(f29(a1),x74421),x74422)),f2(a1)))+~P107(f316(f316(f225(a1),f2(a1)),x74422))
% 163.96/163.65 [7443]~P107(f316(f316(f225(a1),x74432),f2(a1)))+P107(f316(f316(f224(a1),f316(f316(f29(a1),x74431),x74432)),f2(a1)))+~P107(f316(f316(f224(a1),f2(a1)),x74431))
% 163.96/163.65 [7444]~P107(f316(f316(f225(a1),x74442),f2(a1)))+P107(f316(f316(f225(a1),f316(f316(f29(a1),x74441),x74442)),f2(a1)))+~P107(f316(f316(f225(a1),f2(a1)),x74441))
% 163.96/163.65 [7446]~P107(f316(f316(f225(a1),x74461),f2(a1)))+P107(f316(f316(f225(a1),f316(f316(f29(a1),x74461),x74462)),f2(a1)))+~P107(f316(f316(f225(a1),f2(a1)),x74462))
% 163.96/163.65 [7453]P107(f316(f316(f318(f905(x74531,a895)),f335(x74532,x74531)),x74532))+~P107(f316(f54(f905(x74531,a895)),x74532))+P107(f316(f54(x74531),f30(f905(x74531,a895),x74532)))
% 163.96/163.65 [7543]P22(x75431,x75431,x75432,f231(f905(x75431,a895)))+~E(f316(f299(x75431,x75431,x75432),f231(f905(x75431,a895))),f231(f905(x75431,a895)))+~P107(f316(f54(x75431),f231(f905(x75431,a895))))
% 163.96/163.65 [7664]~P22(x76641,x76641,x76642,f231(f905(x76641,a895)))+E(f316(f299(x76641,x76641,x76642),f231(f905(x76641,a895))),f231(f905(x76641,a895)))+~P107(f316(f54(x76641),f231(f905(x76641,a895))))
% 163.96/163.65 [7804]E(f316(f316(f29(a1),x78041),x78042),f316(f93(a1),a87))+~P107(f316(f316(f224(a1),f316(f316(f74(a1),x78041),x78042)),f2(a1)))+~P107(f316(f316(f225(a1),f2(a1)),x78041))
% 163.96/163.65 [7861]~P107(f316(f316(f225(a1),x78612),f2(a1)))+~P107(f316(f316(f225(a1),f316(f316(f29(a1),x78611),x78612)),f2(a1)))+P107(f316(f316(f225(a1),f2(a1)),x78611))
% 163.96/163.65 [7866]E(f316(f316(f74(a1),x78661),x78662),f38(a1,x78661,x78662))+~P107(f316(f316(f224(a1),f316(f316(f74(a1),x78661),x78662)),f2(a1)))+~P107(f316(f316(f225(a1),f2(a1)),x78661))
% 163.96/163.65 [7869]P107(f316(f316(f225(a1),x78691),f2(a1)))+~P107(f316(f316(f225(a1),f316(f316(f29(a1),x78691),x78692)),f2(a1)))+~P107(f316(f316(f225(a1),f2(a1)),x78692))
% 163.96/163.65 [7919]~E(f324(x79192,x79191),f325(x79192,x79191))+P36(x79191,f30(f905(f904(x79191,x79191),a895),x79192))+P107(f316(f316(f318(f905(f904(x79191,x79191),a895)),f326(x79192,x79191)),x79192))
% 163.96/163.65 [7951]~P36(x79511,f326(x79512,x79511))+P36(x79511,f30(f905(f904(x79511,x79511),a895),x79512))+P107(f316(f316(f318(f905(f904(x79511,x79511),a895)),f325(x79512,x79511)),x79512))
% 163.96/163.65 [7952]~P36(x79521,f326(x79522,x79521))+P36(x79521,f30(f905(f904(x79521,x79521),a895),x79522))+P107(f316(f316(f318(f905(f904(x79521,x79521),a895)),f324(x79522,x79521)),x79522))
% 163.96/163.65 [8091]~P36(x80911,f326(x80912,x80911))+P36(x80911,f30(f905(f904(x80911,x80911),a895),x80912))+~E(f316(f316(f91(f905(x80911,a895)),f316(f253(x80911,x80911),f325(x80912,x80911))),f316(f273(x80911,x80911),f324(x80912,x80911))),f178(f905(x80911,a895)))
% 163.96/163.65 [8566]~P108(x85661)+P10(x85661,x85662)+~P107(f316(f316(f224(x85661),f316(f316(f154(x85661),x85662),f701(x85662,x85661))),f316(f316(f154(x85661),x85662),f702(x85662,x85661))))
% 163.96/163.65 [8567]~P108(x85671)+P10(x85671,x85672)+~P107(f316(f316(f224(x85671),f316(f316(f154(x85671),x85672),f708(x85672,x85671))),f316(f316(f154(x85671),x85672),f713(x85672,x85671))))
% 163.96/163.65 [8675]P36(x86751,f30(f905(f904(x86751,x86751),a895),x86752))+P107(f316(f316(f318(f905(f904(x86751,x86751),a895)),f326(x86752,x86751)),x86752))+P107(f316(f316(f318(f905(f904(x86751,x86751),a895)),f325(x86752,x86751)),x86752))
% 163.96/163.65 [8676]P36(x86761,f30(f905(f904(x86761,x86761),a895),x86762))+P107(f316(f316(f318(f905(f904(x86761,x86761),a895)),f326(x86762,x86761)),x86762))+P107(f316(f316(f318(f905(f904(x86761,x86761),a895)),f324(x86762,x86761)),x86762))
% 163.96/163.65 [8719]P36(x87191,f30(f905(f904(x87191,x87191),a895),x87192))+~E(f316(f316(f91(f905(x87191,a895)),f316(f253(x87191,x87191),f325(x87192,x87191))),f316(f273(x87191,x87191),f324(x87192,x87191))),f178(f905(x87191,a895)))+P107(f316(f316(f318(f905(f904(x87191,x87191),a895)),f326(x87192,x87191)),x87192))
% 163.96/163.65 [5771]E(x57711,f2(a1))+~E(f38(a1,x57712,x57711),f2(a1))+E(f316(f316(f29(a1),x57712),f316(f73(a1),x57711)),f316(f73(a1),f316(f316(f29(a1),x57712),x57711)))
% 163.96/163.65 [5789]~P39(x57892)+~P39(x57891)+P39(f316(f316(f100(f905(a1,a895)),x57891),x57892))
% 163.96/163.65 [5790]~P39(x57902)+~P39(x57901)+P39(f316(f316(f91(f905(a1,a895)),x57901),x57902))
% 163.96/163.65 [5808]~P98(x58081)+~P65(x58081)+E(f316(f73(x58081),f316(f316(f280(x58081),f72(x58081)),x58082)),f316(f316(f280(x58081),f316(f93(x58081),a87)),x58082))
% 163.96/163.65 [5936]E(x59361,f2(a1))+~E(f38(a1,x59362,x59361),f2(a1))+E(f316(f316(f29(a1),f316(f73(a1),x59362)),x59361),f316(f73(a1),f316(f316(f29(a1),x59362),x59361)))
% 163.96/163.65 [6076]~P108(x60761)+P10(x60761,x60762)+P107(f316(f316(f225(a898),f702(x60762,x60761)),f316(f179(f899(x60761)),x60762)))
% 163.96/163.65 [6077]~P108(x60771)+P10(x60771,x60772)+P107(f316(f316(f225(a898),f713(x60772,x60771)),f316(f179(f899(x60771)),x60772)))
% 163.96/163.65 [6240]~P98(x62401)+~E(f316(f93(x62401),x62402),f2(x62401))+P26(x62401,f316(f93(x62401),f316(f316(f74(a1),x62402),f316(f73(a1),a77))))
% 163.96/163.65 [6241]~P98(x62411)+~E(f316(f93(x62411),x62412),f2(x62411))+P26(x62411,f316(f93(x62411),f316(f316(f74(a1),a77),f316(f73(a1),x62412))))
% 163.96/163.65 [6243]E(f316(a44,f40(f316(f73(a1),x62431),f316(f73(a1),x62432))),f39(x62431,x62432))+P107(f316(f316(f224(a1),f2(a1)),x62431))+P107(f316(f316(f225(a1),f2(a1)),x62432))
% 163.96/163.65 [6371]~E(x63712,f2(a898))+~E(x63711,f2(a898))+P107(f316(f316(f224(a1),f316(f90(a1),x63711)),f316(f73(a1),f316(f90(a1),x63712))))
% 163.96/163.65 [6400]E(f316(f316(f74(a898),f316(f93(a898),x64001)),f316(f93(a898),x64002)),f316(f93(a898),f316(f316(f74(a1),x64001),x64002)))+P107(f316(f316(f225(a1),x64001),a77))+P107(f316(f316(f225(a1),x64002),a77))
% 163.96/163.65 [6535]~P78(x65351)+~P107(f316(f316(f224(x65351),f2(x65351)),x65352))+P107(f316(f316(f224(x65351),f316(f73(x65351),x65352)),x65352))
% 163.96/163.65 [6536]~P78(x65361)+~P107(f316(f316(f225(x65361),f2(x65361)),x65362))+P107(f316(f316(f225(x65361),f316(f73(x65361),x65362)),x65362))
% 163.96/163.65 [6716]E(f316(f316(f23(a898),f316(a94,x67161)),f316(a94,x67162)),f316(a94,f316(f316(f23(a1),x67161),x67162)))+~P107(f316(f316(f224(a1),f2(a1)),x67162))+~P107(f316(f316(f224(a1),x67162),x67161))
% 163.96/163.65 [6752]E(f316(a94,f38(a1,f316(f93(a1),x67521),f316(f93(a1),x67522))),f38(a898,f316(f93(a898),x67521),f316(f93(a898),x67522)))+P107(f316(a183,f316(f93(a1),x67521)))+P107(f316(a183,f316(f93(a1),x67522)))
% 163.96/163.65 [6769]~P78(x67691)+P107(f316(f316(f224(x67691),f2(x67691)),x67692))+~P107(f316(f316(f224(x67691),f316(f73(x67691),x67692)),x67692))
% 163.96/163.65 [6770]~P78(x67701)+P107(f316(f316(f225(x67701),f2(x67701)),x67702))+~P107(f316(f316(f225(x67701),f316(f73(x67701),x67702)),x67702))
% 163.96/163.65 [6782]~P78(x67821)+~P107(f316(f316(f224(x67821),f2(x67821)),x67822))+P107(f316(f316(f224(x67821),f2(x67821)),f316(f316(f74(x67821),x67822),x67822)))
% 163.96/163.65 [6784]~P78(x67841)+~P107(f316(f316(f225(x67841),f2(x67841)),x67842))+P107(f316(f316(f225(x67841),f2(x67841)),f316(f316(f74(x67841),x67842),x67842)))
% 163.96/163.65 [6796]E(f316(f316(f74(a898),f316(a94,x67961)),f316(a94,x67962)),f316(a94,f316(f316(f74(a1),x67961),x67962)))+~P107(f316(f316(f224(a1),f2(a1)),x67962))+~P107(f316(f316(f224(a1),f2(a1)),x67961))
% 163.96/163.65 [6807]E(x68071,f2(a898))+P107(f316(f316(f225(a898),f2(a898)),x68072))+~P107(f316(f316(f225(a898),f2(a898)),f316(f316(f233(a898),x68072),x68071)))
% 163.96/163.65 [6842]~P98(x68421)+E(f316(f93(x68421),x68422),f2(x68421))+~P26(x68421,f316(f93(x68421),f316(f316(f74(a1),a77),f316(f73(a1),x68422))))
% 163.96/163.65 [6843]~P98(x68431)+E(f316(f93(x68431),x68432),f2(x68431))+~P26(x68431,f316(f93(x68431),f316(f316(f74(a1),x68432),f316(f73(a1),a77))))
% 163.96/163.65 [6902]~P107(f316(f54(x69021),x69022))+~P107(f316(f54(x69021),f231(f905(x69021,a895))))+P107(f316(f54(x69021),f316(f73(f905(x69021,a895)),x69022)))
% 163.96/163.65 [6925]~P107(f316(f316(f225(a1),f2(a1)),x69252))+~P107(f316(f316(f224(a1),x69252),x69251))+P107(f316(f316(f225(a1),f2(a1)),f316(f316(f29(a1),x69251),x69252)))
% 163.96/163.65 [6926]~P107(f316(f316(f224(a1),x69261),f2(a1)))+~P107(f316(f316(f225(a1),x69262),f2(a1)))+P107(f316(f316(f224(a1),f2(a1)),f316(f316(f29(a1),x69261),x69262)))
% 163.96/163.65 [6964]~P107(f316(f316(f224(a1),f2(a1)),x69642))+~P107(f316(f316(f224(a1),f2(a1)),x69641))+P107(f316(f316(f224(a1),f2(a1)),f316(f316(f75(a1),x69641),x69642)))
% 163.96/163.65 [6965]~P107(f316(f316(f224(a1),f2(a1)),x69652))+~P107(f316(f316(f224(a1),f2(a1)),x69651))+P107(f316(f316(f224(a1),f2(a1)),f316(f316(f74(a1),x69651),x69652)))
% 163.96/163.65 [6966]~P107(f316(f316(f224(a1),f2(a1)),x69662))+~P107(f316(f316(f224(a1),f2(a1)),x69661))+P107(f316(f316(f224(a1),f2(a1)),f316(f316(f29(a1),x69661),x69662)))
% 163.96/163.65 [6967]~P107(f316(f316(f224(a1),f2(a1)),x69671))+~P107(f316(f316(f225(a1),f2(a1)),x69672))+P107(f316(f316(f224(a1),f2(a1)),f316(f316(f29(a1),x69671),x69672)))
% 163.96/163.65 [6968]~P107(f316(f316(f225(a898),f2(a898)),x69682))+~P107(f316(f316(f225(a898),f2(a898)),x69681))+P107(f316(f316(f225(a898),f2(a898)),f316(f316(f75(a898),x69681),x69682)))
% 163.96/163.65 [7032]E(x70321,f2(a1))+E(f38(a1,x70322,x70321),f2(a1))+E(f316(f316(f23(a1),f316(f73(a1),f316(f316(f29(a1),x70322),x70321))),f72(a1)),f316(f316(f29(a1),f316(f73(a1),x70322)),x70321))
% 163.96/163.65 [7090]P107(f316(f316(f225(a898),f2(a898)),x70901))+P107(f316(f316(f225(a898),f2(a898)),x70902))+~P107(f316(f316(f225(a898),f2(a898)),f316(f316(f74(a898),x70902),x70901)))
% 163.96/163.65 [7094]~P78(x70941)+P107(f316(f316(f224(x70941),f2(x70941)),x70942))+~P107(f316(f316(f224(x70941),f2(x70941)),f316(f316(f74(x70941),x70942),x70942)))
% 163.96/163.65 [7095]~P78(x70951)+P107(f316(f316(f225(x70951),f2(x70951)),x70952))+~P107(f316(f316(f225(x70951),f2(x70951)),f316(f316(f74(x70951),x70952),x70952)))
% 163.96/163.65 [7146]~P107(f316(f54(x71461),x71462))+P107(f316(f54(x71461),f231(f905(x71461,a895))))+~P107(f316(f54(x71461),f316(f73(f905(x71461,a895)),x71462)))
% 163.96/163.65 [7211]P107(f316(f316(f224(a1),x72111),f2(a1)))+~P107(f316(f316(f225(a1),x72112),f2(a1)))+~P107(f316(f316(f224(a1),f2(a1)),f316(f316(f29(a1),x72111),x72112)))
% 163.96/163.65 [7217]~P107(f316(f316(f225(a1),f2(a1)),x72171))+P107(f316(f316(f224(a1),x72171),x72172))+~P107(f316(f316(f225(a1),f2(a1)),f316(f316(f29(a1),x72172),x72171)))
% 163.96/163.65 [7218]~P107(f316(f316(f224(a1),f2(a1)),x72182))+P107(f316(f316(f224(a1),x72181),x72182))+~P107(f316(f316(f225(a1),f2(a1)),f316(f316(f29(a1),x72182),x72181)))
% 163.96/163.65 [7248]P107(f316(f316(f224(a1),f2(a1)),x72481))+~P107(f316(f316(f225(a1),f2(a1)),x72482))+~P107(f316(f316(f224(a1),f2(a1)),f316(f316(f29(a1),x72481),x72482)))
% 163.96/163.65 [7249]P107(f316(f316(f225(a1),f2(a1)),x72491))+~P107(f316(f316(f224(a1),f2(a1)),x72492))+~P107(f316(f316(f225(a1),f2(a1)),f316(f316(f29(a1),x72492),x72491)))
% 163.96/163.65 [7695]~P107(f316(f54(x76952),f231(f905(x76952,a895))))+~P107(f316(f54(x76951),f231(f905(x76951,a895))))+P107(f316(f54(f904(x76951,x76952)),f231(f905(f904(x76951,x76952),a895))))
% 163.96/163.65 [7696]~P107(f316(f54(x76962),f231(f905(x76962,a895))))+~P107(f316(f54(x76961),f231(f905(x76961,a895))))+P107(f316(f54(f906(x76961,x76962)),f231(f905(f906(x76961,x76962),a895))))
% 163.96/163.65 [7768]~P107(f316(f316(f225(a898),f316(a102,f2(a898))),x77681))+~P107(f316(f316(f225(a898),f316(a102,f2(a898))),x77682))+P107(f316(f316(f225(a898),x77681),f316(f316(f75(a898),x77682),x77681)))
% 163.96/163.65 [7769]~P107(f316(f316(f225(a898),f316(a102,f2(a898))),x77691))+~P107(f316(f316(f225(a898),f316(a102,f2(a898))),x77692))+P107(f316(f316(f225(a898),x77691),f316(f316(f75(a898),x77691),x77692)))
% 163.96/163.65 [7803]E(f316(f28(x78031),f231(f905(x78031,a895))),f316(a102,f2(a898)))+P107(f316(f54(x78032),f231(f905(x78032,a895))))+~P107(f316(f54(f905(x78032,x78031)),f231(f905(f905(x78032,x78031),a895))))
% 163.96/163.65 [7931]~P107(f316(f316(f224(a898),f316(a102,f2(a898))),x79311))+~P107(f316(f316(f224(a898),f316(a102,f2(a898))),x79312))+P107(f316(f316(f224(a898),f316(a102,f2(a898))),f316(f316(f75(a898),x79311),x79312)))
% 163.96/163.65 [7932]~P107(f316(f316(f225(a898),f316(a102,f2(a898))),x79322))+~P107(f316(f316(f225(a898),f316(a102,f2(a898))),x79321))+P107(f316(f316(f225(a898),f316(a102,f2(a898))),f316(f316(f75(a898),x79321),x79322)))
% 163.96/163.65 [8613]E(x86131,f103(x86132))+~P107(f316(f127(x86132),x86131))+E(f167(x86132,f316(f316(f8(a895,a895,x86132),a311),f316(f316(f7(x86132,x86132,a895),a313),f134(x86132,x86131))),x86131),f104(x86132,x86131))
% 163.96/163.65 [8709]~P39(x87092)+~P39(x87091)+E(f316(f299(a898,a1,f90(a1)),f316(f316(f100(f905(a898,a895)),f316(f299(a1,a898,a94),x87091)),f316(f299(a1,a898,a94),x87092))),f316(f316(f100(f905(a1,a895)),x87091),x87092))
% 163.96/163.65 [8710]~P39(x87102)+~P39(x87101)+E(f316(f299(a898,a1,f90(a1)),f316(f316(f91(f905(a898,a895)),f316(f299(a1,a898,a94),x87101)),f316(f299(a1,a898,a94),x87102))),f316(f316(f91(f905(a1,a895)),x87101),x87102))
% 163.96/163.65 [9381]~P98(x93811)+~E(f316(f93(x93811),x93812),f72(x93811))+P26(x93811,f316(f93(x93811),f316(f316(f74(a1),f316(f316(f23(a1),f316(f316(f74(a1),a77),a77)),a87)),f316(f73(a1),x93812))))
% 163.96/163.65 [9631]~P98(x96311)+E(f316(f93(x96311),x96312),f72(x96311))+~P26(x96311,f316(f93(x96311),f316(f316(f74(a1),f316(f316(f23(a1),f316(f316(f74(a1),a77),a77)),a87)),f316(f73(a1),x96312))))
% 163.96/163.65 [10395]E(x103951,f2(a1))+E(x103952,f2(a1))+E(f316(f247(a1,a1,a1,a1,f25(a1),f316(f75(a1),f76(a1,x103952))),f316(f316(f316(f86(f904(a1,a1)),f316(f316(a313,f76(a1,x103951)),f76(a1,x103952))),f46(x103951,x103952)),f316(f316(f246(a1,a1,f904(a1,a1)),f316(f316(f18(a1,f905(a1,f904(a1,a1)),f905(a1,f904(a1,a1))),f316(f316(f8(f905(a1,f905(f904(a1,a1),f904(a1,a1))),f905(f905(a1,f904(a1,a1)),f905(a1,f904(a1,a1))),a1),f18(a1,f904(a1,a1),f904(a1,a1))),f316(f316(f8(f904(a1,a1),f905(a1,f905(f904(a1,a1),f904(a1,a1))),a1),f316(f7(a1,f904(a1,a1),f905(f904(a1,a1),f904(a1,a1))),f316(f316(f8(a895,f905(f904(a1,a1),f905(f904(a1,a1),f904(a1,a1))),a1),f86(f904(a1,a1))),f316(f316(f7(a1,a1,a895),a313),f2(a1))))),f316(f316(f7(a1,a1,f904(a1,a1)),f316(f316(f8(a1,f905(a1,f904(a1,a1)),a1),f241(a1,a1)),f73(a1))),f2(a1))))),f316(f316(f7(a1,f905(a1,a1),f905(a1,f904(a1,a1))),f316(f316(f8(f905(a1,f904(a1,a1)),f905(f905(a1,a1),f905(a1,f904(a1,a1))),a1),f8(a1,f904(a1,a1),a1)),f316(f316(f8(a1,f905(a1,f904(a1,a1)),a1),f241(a1,a1)),f316(f316(f7(a1,a1,a1),f316(f316(f8(a1,f905(a1,a1),a1),f23(a1)),f73(a1))),f72(a1))))),f316(f23(a1),f316(f69(a1),x103952))))),f46(x103951,x103952)))),f39(x103951,x103952))
% 163.96/163.65 [10396]E(x103961,f2(a1))+E(x103962,f2(a1))+E(f316(f247(a1,a1,a1,a1,f25(a1),f316(f75(a1),f76(a1,x103962))),f316(f316(f316(f86(f904(a1,a1)),f316(f316(a315,f316(f316(a314,f316(f316(f225(a1),f2(a1)),x103962)),f316(f316(f224(a1),f2(a1)),x103961))),f316(f316(a314,f316(f316(f225(a1),x103962),f2(a1))),f316(f316(f225(a1),x103961),f2(a1))))),f46(x103961,x103962)),f316(f316(f246(a1,a1,f904(a1,a1)),f316(f316(f18(a1,f905(a1,f904(a1,a1)),f905(a1,f904(a1,a1))),f316(f316(f8(f905(a1,f905(f904(a1,a1),f904(a1,a1))),f905(f905(a1,f904(a1,a1)),f905(a1,f904(a1,a1))),a1),f18(a1,f904(a1,a1),f904(a1,a1))),f316(f316(f8(f904(a1,a1),f905(a1,f905(f904(a1,a1),f904(a1,a1))),a1),f316(f7(a1,f904(a1,a1),f905(f904(a1,a1),f904(a1,a1))),f316(f316(f8(a895,f905(f904(a1,a1),f905(f904(a1,a1),f904(a1,a1))),a1),f86(f904(a1,a1))),f316(f316(f7(a1,a1,a895),a313),f2(a1))))),f316(f316(f7(a1,a1,f904(a1,a1)),f316(f316(f8(a1,f905(a1,f904(a1,a1)),a1),f241(a1,a1)),f73(a1))),f2(a1))))),f316(f316(f7(a1,f905(a1,a1),f905(a1,f904(a1,a1))),f316(f316(f8(f905(a1,f904(a1,a1)),f905(f905(a1,a1),f905(a1,f904(a1,a1))),a1),f8(a1,f904(a1,a1),a1)),f316(f316(f8(a1,f905(a1,f904(a1,a1)),a1),f241(a1,a1)),f316(f316(f7(a1,a1,a1),f316(f316(f8(a1,f905(a1,a1),a1),f23(a1)),f73(a1))),f72(a1))))),f316(f23(a1),f316(f69(a1),x103962))))),f46(x103961,x103962)))),f39(x103961,x103962))
% 163.96/163.65 [5797]~P123(x57971)+~P98(x57971)+E(f316(f69(x57971),f316(f316(f233(x57971),f316(f93(x57971),a87)),x57972)),f72(x57971))
% 163.96/163.65 [6311]~P141(x63111)+~P107(f316(f316(f225(a1),x63112),f2(a1)))+E(f316(f73(x63111),f316(f90(x63111),f316(a94,f316(f73(a1),x63112)))),f316(f92(x63111),x63112))
% 163.96/163.65 [6519]P107(f316(f316(f224(a89),x65191),f72(a89)))+E(f316(f316(f74(a89),f72(a89)),f261(x65191,f316(f316(f29(a89),x65192),x65191))),f261(x65191,x65192))+P107(f316(f316(f225(a89),x65192),x65191))
% 163.96/163.65 [7135]~P96(x71351)+~P107(f316(f316(f318(x71351),x71352),f99(x71351)))+~E(f316(f316(f74(x71351),f316(f316(f74(x71351),f72(x71351)),x71352)),x71352),f2(x71351))
% 163.96/163.65 [7250]~P107(f316(f316(f224(a1),x72502),f2(a1)))+~P107(f316(f316(f225(a1),x72501),f2(a1)))+E(f316(f240(a1,a1),f316(a44,f40(f316(f73(a1),x72501),f316(f73(a1),x72502)))),f316(f316(f29(a1),x72501),x72502))
% 163.96/163.65 [7267]~P107(f316(f316(f224(a1),x72672),f2(a1)))+~P107(f316(f316(f225(a1),x72671),f2(a1)))+E(f316(f245(a1,a1),f316(a44,f40(f316(f73(a1),x72671),f316(f73(a1),x72672)))),f38(a1,x72671,x72672))
% 163.96/163.65 [7275]~P107(f316(f316(f225(a1),x72752),f2(a1)))+E(f316(f240(a1,a1),f316(a44,f43(f316(f73(a1),x72751),f316(f73(a1),x72752)))),f316(f316(f29(a1),x72751),x72752))+~P107(f316(f316(f225(a1),f2(a1)),x72751))
% 163.96/163.65 [7293]~P107(f316(f316(f225(a1),x72932),f2(a1)))+E(f316(f245(a1,a1),f316(a44,f43(f316(f73(a1),x72931),f316(f73(a1),x72932)))),f38(a1,x72931,x72932))+~P107(f316(f316(f225(a1),f2(a1)),x72931))
% 163.96/163.65 [7346]E(f316(f316(f29(a1),f316(f316(f233(a1),x73461),x73462)),x73461),f316(f316(f233(a1),x73461),f316(f316(f23(a898),x73462),f316(a102,f2(a898)))))+~P107(f316(f316(f225(a898),f2(a898)),x73462))+~P107(f316(f316(f225(a1),f2(a1)),x73461))
% 163.96/163.65 [7449]~P107(f316(f316(f225(a898),f2(a898)),x74491))+~P107(f316(f316(f225(a898),f2(a898)),x74492))+P107(f316(f316(f225(a898),f316(f316(f23(a898),x74491),x74492)),x74491))
% 163.96/163.65 [7450]~P107(f316(f316(f225(a898),f2(a898)),x74501))+~P107(f316(f316(f225(a898),f72(a898)),x74502))+P107(f316(f316(f225(a898),f316(f316(f29(a898),x74501),x74502)),x74501))
% 163.96/163.65 [7451]~P107(f316(f316(f225(a1),f2(a1)),x74511))+~P107(f316(f316(f225(a1),f72(a1)),x74512))+P107(f316(f316(f225(a1),f316(f316(f29(a1),x74511),x74512)),x74511))
% 163.96/163.65 [7589]E(x75891,f2(a898))+~E(x75892,f2(a1))+~P107(f316(f316(f225(a1),f2(a1)),f316(f316(f233(a1),f316(f69(a1),x75892)),x75891)))
% 163.96/163.65 [8012]~E(x80122,f103(f899(x80121)))+E(f316(f179(f899(f899(x80121))),f169(x80121,x80122)),f2(a898))+~P10(a898,f316(f158(a898),f316(f316(f144(f899(x80121),a898),f179(f899(x80121))),x80122)))
% 163.96/163.65 [8264]P107(f316(x82641,x82642))+~P107(f316(x82641,f316(a97,f563(x82641,x82642))))+~P107(f316(f316(f318(f905(f904(a898,a898),a895)),x82642),a88))
% 163.96/163.65 [8280]E(x82801,f103(f899(x82802)))+E(f316(f179(f899(x82802)),f316(f316(f154(f899(x82802)),x82801),f2(a898))),f316(f179(f899(f899(x82802))),f169(x82802,x82801)))+~P10(a898,f316(f158(a898),f316(f316(f144(f899(x82802),a898),f179(f899(x82802))),x82801)))
% 163.96/163.65 [8421]~P37(x84211,x84212)+~P38(x84211,x84212)+P37(x84211,f316(f316(f23(f905(f904(x84211,x84211),a895)),x84212),f296(x84211,f178(f905(f904(x84211,x84211),a895)))))
% 163.96/163.65 [8997]~P107(f316(f54(x89971),f316(f251(x89971),x89972)))+~P107(f316(f54(x89971),f231(f905(x89971,a895))))+P107(f316(f54(x89971),f316(f251(x89971),f316(f316(f8(a895,a895,x89971),a311),x89972))))
% 163.96/163.65 [9063]E(f316(f316(f241(a898,a898),f316(a102,f316(f316(f29(a898),f316(f316(f23(a898),x90631),x90632)),x90632))),f38(a898,f316(f316(f23(a898),x90631),x90632),x90632)),f79(f904(a898,a898),f41(x90631,x90632)))+~P107(f316(f316(f225(a898),f2(a898)),x90632))+~P107(f316(f316(f224(a898),x90632),x90631))
% 163.96/163.65 [9346]~P107(f316(f54(x93461),f316(f251(x93461),x93462)))+P107(f316(f54(x93461),f231(f905(x93461,a895))))+~P107(f316(f54(x93461),f316(f251(x93461),f316(f316(f8(a895,a895,x93461),a311),x93462))))
% 163.96/163.65 [10075]P24(x100751,x100752)+~P36(x100751,f316(f240(f905(f904(x100751,x100751),a895),f905(f904(x100751,x100751),a895)),x100752))+~P107(f316(f316(f224(f905(f904(x100751,x100751),a895)),f316(f316(f278(x100751,x100751,x100751),f316(f240(f905(f904(x100751,x100751),a895),f905(f904(x100751,x100751),a895)),x100752)),f316(f245(f905(f904(x100751,x100751),a895),f905(f904(x100751,x100751),a895)),x100752))),f316(f240(f905(f904(x100751,x100751),a895),f905(f904(x100751,x100751),a895)),x100752)))
% 163.96/163.65 [10172]~E(f286(a898,f276(a898),f316(f316(f18(a898,f905(a898,a895),f905(a898,a895)),f316(f316(f8(f905(a898,f905(a895,a895)),f905(f905(a898,a895),f905(a898,a895)),a898),f18(a898,a895,a895)),f316(f316(f8(f905(a898,a895),f905(a898,f905(a895,a895)),a898),f316(f8(a895,f905(a895,a895),a898),a314)),f276(a898)))),f316(f316(f8(f905(a898,a895),f905(a898,a895),a898),f316(f8(a895,a895,a898),a311)),f316(f7(a898,a898,a895),f276(a898)))),x101722,x101721),f178(f905(a898,a895)))+~P107(f316(f316(f276(a898),x101722),x101721))+P107(f316(f316(f276(a898),x101721),x101722))
% 163.96/163.65 [10173]~E(f289(a898,f276(a898),f316(f316(f18(a898,f905(a898,a895),f905(a898,a895)),f316(f316(f8(f905(a898,f905(a895,a895)),f905(f905(a898,a895),f905(a898,a895)),a898),f18(a898,a895,a895)),f316(f316(f8(f905(a898,a895),f905(a898,f905(a895,a895)),a898),f316(f8(a895,f905(a895,a895),a898),a314)),f276(a898)))),f316(f316(f8(f905(a898,a895),f905(a898,a895),a898),f316(f8(a895,a895,a898),a311)),f316(f7(a898,a898,a895),f276(a898)))),x101732,x101731),f178(f905(a898,a895)))+~P107(f316(f316(f276(a898),x101732),x101731))+P107(f316(f316(f276(a898),x101731),x101732))
% 163.96/163.65 [7376]~P107(f316(f316(f225(a898),f2(a898)),x73762))+P107(f316(f316(f225(a898),x73761),x73762))+E(f316(a102,f316(f316(f29(a898),f316(f316(f23(a898),x73761),x73762)),x73762)),f316(f316(f29(a898),x73761),x73762))
% 163.96/163.65 [7516]~P107(f316(f316(f225(a898),f2(a898)),x75162))+~P107(f316(f316(f224(a898),x75162),x75161))+E(f316(a102,f316(f316(f29(a898),f316(f316(f23(a898),x75161),x75162)),x75162)),f316(f316(f29(a898),x75161),x75162))
% 163.96/163.65 [8485]~P98(x84851)+~P96(x84851)+~P26(x84851,f316(f93(x84851),f316(f316(f23(a1),f316(f316(f74(a1),x84852),x84852)),a87)))
% 163.96/163.65 [9254]E(x92541,f2(a898))+E(f316(f316(f246(a898,a898,f904(a898,a898)),f316(f316(f8(a898,f905(a898,f904(a898,a898)),a898),f241(a898,a898)),a102)),f79(f904(a898,a898),f41(f316(f316(f23(a898),x92542),x92541),x92541))),f79(f904(a898,a898),f41(x92542,x92541)))+P107(f316(f316(f225(a898),x92542),x92541))
% 163.96/163.65 [9435]~P37(x94351,x94352)+~P50(x94351,x94352)+P107(f316(f316(f224(f905(f904(x94351,x94351),a895)),f316(f316(f278(x94351,x94351,x94351),f316(f275(x94351,x94351),x94352)),x94352)),x94352))
% 163.96/163.65 [9695]P107(f316(x96952,f634(x96952,x96951)))+P107(f316(x96951,f634(x96952,x96951)))+E(f316(f251(a1),f316(f316(f18(a1,a895,a895),f316(f316(f8(a895,f905(a895,a895),a1),a314),f316(f224(a1),f2(a1)))),x96951)),f316(f251(a1),f316(f316(f18(a1,a895,a895),f316(f316(f8(a895,f905(a895,a895),a1),a314),f316(f224(a1),f2(a1)))),x96952)))
% 163.96/163.65 [9699]~P107(f316(x96992,f634(x96992,x96991)))+~P107(f316(x96991,f634(x96992,x96991)))+E(f316(f251(a1),f316(f316(f18(a1,a895,a895),f316(f316(f8(a895,f905(a895,a895),a1),a314),f316(f224(a1),f2(a1)))),x96991)),f316(f251(a1),f316(f316(f18(a1,a895,a895),f316(f316(f8(a895,f905(a895,a895),a1),a314),f316(f224(a1),f2(a1)))),x96992)))
% 163.96/163.65 [10255]~P107(f316(f316(f276(a898),x102552),x102551))+P107(f316(f316(f276(a898),x102551),x102552))+P107(f316(f316(f318(a898),x102551),f284(a898,f316(f316(f18(a898,f905(a898,a895),f905(a898,a895)),f316(f316(f8(f905(a898,f905(a895,a895)),f905(f905(a898,a895),f905(a898,a895)),a898),f18(a898,a895,a895)),f316(f316(f8(f905(a898,a895),f905(a898,f905(a895,a895)),a898),f316(f8(a895,f905(a895,a895),a898),a314)),f276(a898)))),f316(f316(f8(f905(a898,a895),f905(a898,a895),a898),f316(f8(a895,a895,a898),a311)),f316(f7(a898,a898,a895),f276(a898)))),x102552)))
% 163.96/163.65 [10256]~P107(f316(f316(f276(a898),x102562),x102561))+P107(f316(f316(f276(a898),x102561),x102562))+P107(f316(f316(f318(a898),x102562),f287(a898,f316(f316(f18(a898,f905(a898,a895),f905(a898,a895)),f316(f316(f8(f905(a898,f905(a895,a895)),f905(f905(a898,a895),f905(a898,a895)),a898),f18(a898,a895,a895)),f316(f316(f8(f905(a898,a895),f905(a898,f905(a895,a895)),a898),f316(f8(a895,f905(a895,a895),a898),a314)),f276(a898)))),f316(f316(f8(f905(a898,a895),f905(a898,a895),a898),f316(f8(a895,a895,a898),a311)),f316(f7(a898,a898,a895),f276(a898)))),x102561)))
% 163.96/163.65 [7726]~P98(x77261)+~P66(x77261)+E(f316(f316(f280(x77261),x77262),f316(f93(x77261),f316(f316(f23(a1),f316(f316(f74(a1),a77),a77)),a87))),x77262)
% 163.96/163.65 [9380]~P98(x93801)+~E(f316(f93(x93801),x93802),f72(x93801))+P26(x93801,f316(f93(x93801),f316(f316(f74(a1),x93802),f316(f73(a1),f316(f316(f23(a1),f316(f316(f74(a1),a77),a77)),a87)))))
% 163.96/163.65 [9565]~P140(x95651)+~E(x95652,f72(x95651))+E(f316(f316(f233(x95651),x95652),f316(f93(a898),f316(f316(f74(a1),f316(f316(f23(a1),f316(f316(f74(a1),a77),a77)),a87)),f316(f316(f23(a1),f316(f316(f74(a1),a77),a77)),a87)))),f72(x95651))
% 163.96/163.65 [9566]~P140(x95661)+~E(x95662,f2(x95661))+E(f316(f316(f233(x95661),x95662),f316(f93(a898),f316(f316(f74(a1),f316(f316(f23(a1),f316(f316(f74(a1),a77),a77)),a87)),f316(f316(f23(a1),f316(f316(f74(a1),a77),a77)),a87)))),f2(x95661))
% 163.96/163.65 [9581]~P140(x95811)+~E(x95812,f316(f73(x95811),f72(x95811)))+E(f316(f316(f233(x95811),x95812),f316(f93(a898),f316(f316(f74(a1),f316(f316(f23(a1),f316(f316(f74(a1),a77),a77)),a87)),f316(f316(f23(a1),f316(f316(f74(a1),a77),a77)),a87)))),f72(x95811))
% 163.96/163.65 [9632]~P98(x96321)+E(f316(f93(x96321),x96322),f72(x96321))+~P26(x96321,f316(f93(x96321),f316(f316(f74(a1),x96322),f316(f73(a1),f316(f316(f23(a1),f316(f316(f74(a1),a77),a77)),a87)))))
% 163.96/163.65 [10017]~P123(x100172)+E(x100171,f2(x100172))+P107(f316(f316(f225(x100172),f2(x100172)),f316(f316(f233(x100172),x100171),f316(f93(a898),f316(f316(f74(a1),f316(f316(f23(a1),f316(f316(f74(a1),a77),a77)),a87)),f316(f316(f23(a1),f316(f316(f74(a1),a77),a77)),a87))))))
% 163.96/163.65 [10074]~P123(x100742)+~E(x100741,f2(x100742))+~P107(f316(f316(f225(x100742),f2(x100742)),f316(f316(f233(x100742),x100741),f316(f93(a898),f316(f316(f74(a1),f316(f316(f23(a1),f316(f316(f74(a1),a77),a77)),a87)),f316(f316(f23(a1),f316(f316(f74(a1),a77),a77)),a87))))))
% 163.96/163.65 [10110]P107(f316(f316(f224(a1),x101101),f2(a1)))+P107(f316(f316(f225(a1),x101102),x101101))+E(f316(f36(x101101),f40(x101102,f316(f316(f75(a1),f316(f93(a1),f316(f316(f74(a1),f316(f316(f23(a1),f316(f316(f74(a1),a77),a77)),a87)),f316(f316(f23(a1),f316(f316(f74(a1),a77),a77)),a87)))),x101101))),f40(x101102,x101101))
% 163.96/163.65 [10111]~P107(f316(f316(f225(a1),f2(a1)),x101111))+P107(f316(f316(f225(a1),x101112),x101111))+E(f316(f36(x101111),f40(x101112,f316(f316(f75(a1),f316(f93(a1),f316(f316(f74(a1),f316(f316(f23(a1),f316(f316(f74(a1),a77),a77)),a87)),f316(f316(f23(a1),f316(f316(f74(a1),a77),a77)),a87)))),x101111))),f40(x101112,x101111))
% 163.96/163.65 [10112]P107(f316(f316(f224(a1),x101121),f2(a1)))+P107(f316(f316(f224(a1),f2(a1)),f316(f316(f74(a1),x101122),x101121)))+E(f316(f36(x101121),f43(x101122,f316(f316(f75(a1),f316(f93(a1),f316(f316(f74(a1),f316(f316(f23(a1),f316(f316(f74(a1),a77),a77)),a87)),f316(f316(f23(a1),f316(f316(f74(a1),a77),a77)),a87)))),x101121))),f43(x101122,x101121))
% 163.96/163.65 [10113]~P107(f316(f316(f225(a1),f2(a1)),x101131))+P107(f316(f316(f224(a1),f2(a1)),f316(f316(f74(a1),x101132),x101131)))+E(f316(f36(x101131),f43(x101132,f316(f316(f75(a1),f316(f93(a1),f316(f316(f74(a1),f316(f316(f23(a1),f316(f316(f74(a1),a77),a77)),a87)),f316(f316(f23(a1),f316(f316(f74(a1),a77),a77)),a87)))),x101131))),f43(x101132,x101131))
% 163.96/163.65 [10114]~P146(x101141)+~P107(f316(f316(f224(a1),f2(a1)),x101142))+E(f316(f90(x101141),f316(a94,f316(f316(f75(a1),f316(f93(a1),f316(f316(f74(a1),f316(f316(f23(a1),f316(f316(f74(a1),a77),a77)),a87)),f316(f316(f23(a1),f316(f316(f74(a1),a77),a77)),a87)))),x101142))),f316(f316(f74(x101141),f316(f90(x101141),f316(a94,x101142))),f316(f90(x101141),f316(a94,x101142))))
% 163.96/163.65 [5131]~P148(x51311,x51313,x51312)+~E(x51313,f2(a1))+P107(f316(x51311,x51312))
% 163.96/163.65 [5255]~P108(x52551)+~P10(x52551,x52553)+P10(x52551,f160(x52551,x52552,x52553))
% 163.96/163.65 [5256]~P108(x52561)+~P10(x52561,x52563)+P10(x52561,f167(x52561,x52562,x52563))
% 163.96/163.65 [4819]~P71(x48192)+~E(x48193,f316(f73(x48192),x48191))+E(x48191,f316(f73(x48192),x48193))
% 163.96/163.65 [4821]~P71(x48211)+~E(f316(f73(x48211),x48213),x48212)+E(f316(f73(x48211),x48212),x48213)
% 163.96/163.65 [4900]~P71(x49003)+E(x49001,x49002)+~E(f316(f73(x49003),x49001),f316(f73(x49003),x49002))
% 163.96/163.65 [4901]~P94(x49013)+E(x49011,x49012)+~E(f316(f73(x49013),x49011),f316(f73(x49013),x49012))
% 163.96/163.65 [4902]~P104(x49023)+E(x49021,x49022)+~E(f316(f90(x49023),x49021),f316(f90(x49023),x49022))
% 163.96/163.65 [4903]~P96(x49033)+E(x49031,x49032)+~E(f316(f92(x49033),x49031),f316(f92(x49033),x49032))
% 163.96/163.65 [4904]~P108(x49043)+E(x49041,x49042)+~E(f316(f271(x49043),x49041),f316(f271(x49043),x49042))
% 163.96/163.65 [4905]~P108(x49053)+E(x49051,x49052)+~E(f316(f290(x49053),x49051),f316(f290(x49053),x49052))
% 163.96/163.65 [4906]~P108(x49063)+E(x49061,x49062)+~E(f316(f293(x49063),x49061),f316(f293(x49063),x49062))
% 163.96/163.65 [4907]~P108(x49073)+E(x49071,x49072)+~E(f316(f272(x49073),x49071),f316(f272(x49073),x49072))
% 163.96/163.65 [5009]~P64(x50091)+~P107(f316(x50092,x50093))+P107(f316(f49(x50091),x50092))
% 163.96/163.65 [5049]~P64(x50493)+P107(f316(x50491,x50492))+~P107(f316(f50(x50493),x50491))
% 163.96/163.65 [5151]~P149(x51511,x51512,x51513)+~E(x51512,f2(a1))+P107(f316(x51511,f2(a1)))
% 163.96/163.65 [5191]~E(x51911,f2(a898))+E(f400(x51911,x51912,x51913),f178(f905(x51913,a895)))+~E(f316(f28(x51913),x51912),f316(a102,x51911))
% 163.96/163.65 [5339]~E(x53392,f2(a898))+E(f316(f240(a898,a898),x53391),f2(a898))+~P107(f316(f41(x53393,x53392),x53391))
% 163.96/163.65 [5378]P107(f316(x53781,x53782))+~E(x53783,f316(f90(a1),x53782))+~P107(f316(x53781,f316(a94,x53783)))
% 163.96/163.65 [5861]~E(x58613,f2(a898))+~P107(f316(x58611,x58612))+P107(f316(x58611,f38(a898,x58612,x58613)))
% 163.96/163.65 [6105]~P105(x61052)+~P105(x61051)+E(f121(x61051,x61052,f122(x61051,x61053),f122(x61052,x61053)),f122(f904(x61051,x61052),x61053))
% 163.96/163.65 [6293]~E(x62933,f2(a898))+P107(f316(x62931,x62932))+~P107(f316(x62931,f38(a898,x62932,x62933)))
% 163.96/163.65 [6989]E(x69891,f2(a898))+~P107(f316(x69892,f445(x69891,x69893,x69892)))+P107(f316(x69892,f38(a898,x69893,x69891)))
% 163.96/163.65 [7100]~P2(x71001)+~P107(f316(f316(f224(x71001),x71002),f336(x71003,x71002,x71001)))+P107(f316(f316(f224(x71001),x71002),f31(x71001,x71003)))
% 163.96/163.65 [7102]~P107(f316(x71021,x71022))+~P107(f316(x71021,f445(x71023,x71022,x71021)))+P107(f316(x71021,f38(a898,x71022,x71023)))
% 163.96/163.65 [7205]E(x72051,f103(x72052))+E(f316(f316(f141(x72052),f682(x72053,x72051,x72052)),f685(x72053,x72051,x72052)),x72051)+~P107(f316(f316(f318(f899(x72052)),x72051),f151(x72052,x72053)))
% 163.96/163.65 [7236]~P141(x72361)+~P107(f316(f316(f318(x72361),x72362),f99(x72361)))+P107(f316(f316(f318(x72361),f316(f316(f233(x72361),x72362),x72363)),f99(x72361)))
% 163.96/163.65 [7561]P36(x75611,x75612)+~P107(f316(f316(f318(x75611),x75613),f886(x75612,x75611)))+P107(f316(f316(f318(x75611),f889(x75612,x75611,x75613)),f886(x75612,x75611)))
% 163.96/163.65 [7831]E(x78311,f103(x78312))+~P107(f316(f316(f318(f899(x78312)),x78311),f151(x78312,x78313)))+P107(f316(f316(f318(f899(x78312)),f685(x78313,x78311,x78312)),f151(x78312,x78313)))
% 163.96/163.65 [7883]E(x78831,f2(a898))+E(f316(f316(f74(a898),f316(f316(f75(a898),x78831),f446(x78831,x78832,x78833))),f445(x78831,x78832,x78833)),x78832)+P107(f316(x78833,f38(a898,x78832,x78831)))
% 163.96/163.65 [7926]~P107(f316(x79263,x79262))+E(f316(f316(f74(a898),f316(f316(f75(a898),x79261),f446(x79261,x79262,x79263))),f445(x79261,x79262,x79263)),x79262)+P107(f316(x79263,f38(a898,x79262,x79261)))
% 163.96/163.65 [8067]P107(f316(f316(f225(a1),x80671),f436(x80672,x80673,x80671)))+P107(f316(f316(x80673,f316(f316(f29(a1),x80672),x80671)),f38(a1,x80672,x80671)))+~P107(f316(f316(f225(a1),x80671),f2(a1)))
% 163.96/163.65 [8335]P107(f316(f316(x83352,f316(f316(f29(a1),x83351),x83353)),f38(a1,x83351,x83353)))+~P107(f316(f316(f225(a1),x83353),f2(a1)))+P107(f316(f316(f224(a1),f436(x83351,x83352,x83353)),f2(a1)))
% 163.96/163.65 [8519]E(f316(f316(f74(a1),f316(f316(f75(a1),x85191),f437(x85192,x85193,x85191))),f436(x85192,x85193,x85191)),x85192)+P107(f316(f316(x85193,f316(f316(f29(a1),x85192),x85191)),f38(a1,x85192,x85191)))+~P107(f316(f316(f225(a1),x85191),f2(a1)))
% 163.96/163.65 [8759]~P107(f316(f316(x87591,f437(x87592,x87591,x87593)),f436(x87592,x87591,x87593)))+P107(f316(f316(x87591,f316(f316(f29(a1),x87592),x87593)),f38(a1,x87592,x87593)))+~P107(f316(f316(f225(a1),x87593),f2(a1)))
% 163.96/163.65 [9010]~P108(x90101)+~P10(x90101,x90103)+P10(x90101,f139(x90101,x90101,f5(x90101),x90102,x90103))
% 163.96/163.65 [9512]~P128(x95122)+E(x95121,f2(x95122))+~P107(f316(f316(f224(x95122),f316(f316(f74(x95122),f316(f316(f75(x95122),x95123),x95123)),f316(f316(f75(x95122),x95121),x95121))),f2(x95122)))
% 163.96/163.65 [9513]~P128(x95132)+E(x95131,f2(x95132))+~P107(f316(f316(f224(x95132),f316(f316(f74(x95132),f316(f316(f75(x95132),x95131),x95131)),f316(f316(f75(x95132),x95133),x95133))),f2(x95132)))
% 163.96/163.65 [10330]~P123(x103301)+~P107(f316(f316(f225(x103301),x103302),f2(x103301)))+P107(f316(f316(f225(x103301),f316(f316(f233(x103301),x103302),f316(a102,f316(f316(f75(a898),f316(f93(a898),f316(f316(f74(a1),f316(f316(f23(a1),f316(f316(f74(a1),a77),a77)),a87)),f316(f316(f23(a1),f316(f316(f74(a1),a77),a77)),a87)))),x103303)))),f2(x103301)))
% 163.96/163.65 [10339]~P123(x103392)+E(x103391,f2(x103392))+~P107(f316(f316(f224(x103392),f316(f316(f74(x103392),f316(f316(f233(x103392),x103393),f316(f93(a898),f316(f316(f74(a1),f316(f316(f23(a1),f316(f316(f74(a1),a77),a77)),a87)),f316(f316(f23(a1),f316(f316(f74(a1),a77),a77)),a87))))),f316(f316(f233(x103392),x103391),f316(f93(a898),f316(f316(f74(a1),f316(f316(f23(a1),f316(f316(f74(a1),a77),a77)),a87)),f316(f316(f23(a1),f316(f316(f74(a1),a77),a77)),a87)))))),f2(x103392)))
% 163.96/163.65 [10340]~P123(x103402)+E(x103401,f2(x103402))+~P107(f316(f316(f224(x103402),f316(f316(f74(x103402),f316(f316(f233(x103402),x103401),f316(f93(a898),f316(f316(f74(a1),f316(f316(f23(a1),f316(f316(f74(a1),a77),a77)),a87)),f316(f316(f23(a1),f316(f316(f74(a1),a77),a77)),a87))))),f316(f316(f233(x103402),x103403),f316(f93(a898),f316(f316(f74(a1),f316(f316(f23(a1),f316(f316(f74(a1),a77),a77)),a87)),f316(f316(f23(a1),f316(f316(f74(a1),a77),a77)),a87)))))),f2(x103402)))
% 163.96/163.65 [4855]~E(x48552,x48553)+~P60(x48551)+E(f316(f316(f23(x48551),x48552),x48553),f2(x48551))
% 163.96/163.65 [4856]~E(x48562,x48563)+~P71(x48561)+E(f316(f316(f23(x48561),x48562),x48563),f2(x48561))
% 163.96/163.65 [4869]~P142(x48691)+~E(x48693,f2(x48691))+E(f316(f316(f74(x48691),x48692),x48693),x48692)
% 163.96/163.65 [4886]~P144(x48861)+~E(x48863,f2(x48861))+E(f316(f316(f75(x48861),x48862),x48863),f2(x48861))
% 163.96/163.65 [4887]~P144(x48871)+~E(x48872,f2(x48871))+E(f316(f316(f75(x48871),x48872),x48873),f2(x48871))
% 163.96/163.65 [4909]~E(x49093,f103(x49091))+~E(x49092,f103(x49091))+E(f316(f316(f124(x49091),x49092),x49093),f103(x49091))
% 163.96/163.65 [4999]~P142(x49992)+E(x49991,f2(x49992))+~E(f316(f316(f74(x49992),x49993),x49991),x49993)
% 163.96/163.65 [5000]~P71(x50001)+~E(x50002,f316(f73(x50001),x50003))+E(f316(f316(f74(x50001),x50002),x50003),f2(x50001))
% 163.96/163.65 [5007]E(x50071,f103(x50072))+E(x50073,f2(a898))+~E(f316(f316(f165(x50072),x50073),x50071),f103(x50072))
% 163.96/163.65 [5017]~P60(x50173)+E(x50171,x50172)+~E(f316(f316(f23(x50173),x50171),x50172),f2(x50173))
% 163.96/163.65 [5018]~P71(x50183)+E(x50181,x50182)+~E(f316(f316(f23(x50183),x50181),x50182),f2(x50183))
% 163.96/163.65 [5031]~P140(x50312)+E(x50311,f2(x50312))+~E(f316(f316(f233(x50312),x50311),x50313),f2(x50312))
% 163.96/163.65 [5032]~P85(x50322)+E(x50321,f178(x50322))+~E(f316(f316(f100(x50322),x50323),x50321),f178(x50322))
% 163.96/163.65 [5033]~P85(x50332)+E(x50331,f178(x50332))+~E(f316(f316(f100(x50332),x50331),x50333),f178(x50332))
% 163.96/163.65 [5034]~P101(x50342)+E(x50341,f231(x50342))+~E(f316(f316(f91(x50342),x50343),x50341),f231(x50342))
% 163.96/163.65 [5035]~P101(x50352)+E(x50351,f231(x50352))+~E(f316(f316(f91(x50352),x50351),x50353),f231(x50352))
% 163.96/163.65 [5105]~P71(x51052)+E(x51051,f316(f73(x51052),x51053))+~E(f316(f316(f74(x51052),x51051),x51053),f2(x51052))
% 163.96/163.65 [5106]~P71(x51061)+E(f316(f73(x51061),x51062),x51063)+~E(f316(f316(f74(x51061),x51062),x51063),f2(x51061))
% 163.96/163.65 [5108]~E(x51082,x51083)+~P109(x51081)+P107(f316(f316(f224(x51081),x51082),x51083))
% 163.96/163.65 [5110]~E(x51102,x51103)+~P111(x51101)+P107(f316(f316(f224(x51101),x51102),x51103))
% 163.96/163.65 [5208]~P113(x52081)+~E(x52082,f316(f73(x52081),x52083))+E(f316(f316(f75(x52081),x52082),x52082),f316(f316(f75(x52081),x52083),x52083))
% 163.96/163.65 [5216]~P108(x52161)+~P10(x52161,x52163)+P10(x52161,f316(f316(f165(x52161),x52162),x52163))
% 163.96/163.65 [5217]~P108(x52171)+~P10(x52171,x52173)+P10(x52171,f316(f316(f128(x52171),x52172),x52173))
% 163.96/163.65 [5253]E(x52531,x52532)+E(x52533,f2(a898))+~E(f316(f316(f75(a898),x52533),x52531),f316(f316(f75(a898),x52533),x52532))
% 163.96/163.65 [5254]E(x52541,x52542)+E(x52543,f2(a898))+~E(f316(f316(f75(a898),x52541),x52543),f316(f316(f75(a898),x52542),x52543))
% 163.96/163.65 [5332]~E(x53322,x53323)+~P111(x53321)+E(f292(x53321,x53322,x53323),f316(f316(f298(x53321),x53322),f178(f905(x53321,a895))))
% 163.96/163.65 [5367]~P123(x53671)+~E(f316(f69(x53671),x53672),f316(f69(x53671),x53673))+P107(f316(f316(f276(x53671),x53672),x53673))
% 163.96/163.65 [5375]~E(x53751,x53752)+~P108(x53753)+~P107(f316(f316(f225(x53753),x53751),x53752))
% 163.96/163.65 [5376]~E(x53761,x53762)+~P111(x53763)+~P107(f316(f316(f225(x53763),x53761),x53762))
% 163.96/163.65 [5389]~P111(x53891)+E(f316(f291(x53891,x53892),x53893),f178(f905(x53891,a895)))+P107(f316(f316(f225(x53891),x53892),x53893))
% 163.96/163.65 [5437]~P111(x54371)+E(f294(x54371,x54372,x54373),f178(f905(x54371,a895)))+P107(f316(f316(f225(x54371),x54372),x54373))
% 163.96/163.65 [5438]~P111(x54381)+E(f292(x54381,x54382,x54383),f178(f905(x54381,a895)))+P107(f316(f316(f224(x54381),x54382),x54383))
% 163.96/163.65 [5439]~P111(x54391)+E(f178(f905(x54391,a895)),f294(x54391,x54392,x54393))+P107(f316(f316(f225(x54391),x54392),x54393))
% 163.96/163.65 [5440]~P111(x54401)+E(f178(f905(x54401,a895)),f292(x54401,x54402,x54403))+P107(f316(f316(f224(x54401),x54402),x54403))
% 163.96/163.65 [5448]~P83(x54481)+~E(f316(f316(f100(x54481),x54482),x54483),x54483)+P107(f316(f316(f224(x54481),x54482),x54483))
% 163.96/163.65 [5449]~P103(x54491)+~E(f316(f316(f91(x54491),x54492),x54493),x54492)+P107(f316(f316(f224(x54491),x54492),x54493))
% 163.96/163.65 [5450]~P108(x54501)+~E(f316(f316(f222(x54501),x54502),x54503),x54502)+P107(f316(f316(f224(x54501),x54502),x54503))
% 163.96/163.65 [5451]~P108(x54511)+~E(f316(f316(f223(x54511),x54512),x54513),x54513)+P107(f316(f316(f224(x54511),x54512),x54513))
% 163.96/163.65 [5470]~P108(x54701)+P10(x54701,x54702)+~P10(x54701,f316(f316(f141(x54701),x54703),x54702))
% 163.96/163.65 [5471]~P108(x54711)+P10(x54711,x54712)+~P10(x54711,f316(f316(f124(x54711),x54713),x54712))
% 163.96/163.65 [5472]~P108(x54721)+P10(x54721,x54722)+~P10(x54721,f316(f316(f124(x54721),x54722),x54723))
% 163.96/163.65 [5477]~P62(x54771)+~E(f38(x54771,x54773,x54772),f2(x54771))+P107(f316(f316(f276(x54771),x54772),x54773))
% 163.96/163.65 [5539]~P108(x55391)+P107(f316(f316(f224(x55391),x55393),x55392))+P107(f316(f316(f224(x55391),x55392),x55393))
% 163.96/163.65 [5544]~P108(x55441)+P107(f316(f316(f225(x55441),x55443),x55442))+P107(f316(f316(f224(x55441),x55442),x55443))
% 163.96/163.65 [5582]~P83(x55821)+E(f316(f316(f100(x55821),x55822),x55823),x55822)+~P107(f316(f316(f224(x55821),x55823),x55822))
% 163.96/163.65 [5584]~P83(x55841)+E(f316(f316(f100(x55841),x55842),x55843),x55843)+~P107(f316(f316(f224(x55841),x55842),x55843))
% 163.96/163.65 [5585]~P103(x55851)+E(f316(f316(f91(x55851),x55852),x55853),x55853)+~P107(f316(f316(f224(x55851),x55853),x55852))
% 163.96/163.65 [5587]~P103(x55871)+E(f316(f316(f91(x55871),x55872),x55873),x55872)+~P107(f316(f316(f224(x55871),x55872),x55873))
% 163.96/163.65 [5588]~P108(x55881)+E(f316(f316(f222(x55881),x55882),x55883),x55883)+~P107(f316(f316(f224(x55881),x55883),x55882))
% 163.96/163.65 [5590]~P108(x55901)+E(f316(f316(f222(x55901),x55902),x55903),x55902)+~P107(f316(f316(f224(x55901),x55902),x55903))
% 163.96/163.65 [5591]~P108(x55911)+E(f316(f316(f223(x55911),x55912),x55913),x55912)+~P107(f316(f316(f224(x55911),x55913),x55912))
% 163.96/163.65 [5593]~P108(x55931)+E(f316(f316(f223(x55931),x55932),x55933),x55933)+~P107(f316(f316(f224(x55931),x55932),x55933))
% 163.96/163.65 [5600]~P120(x56002)+E(x56001,f2(x56002))+E(f316(f316(f280(x56002),f316(f73(x56002),x56003)),f316(f73(x56002),x56001)),f316(f316(f280(x56002),x56003),x56001))
% 163.96/163.65 [5607]~P62(x56071)+E(f38(x56071,x56072,x56073),f2(x56071))+~P107(f316(f316(f276(x56071),x56073),x56072))
% 163.96/163.65 [5653]~P111(x56531)+E(f316(f291(x56531,x56532),x56533),f178(f905(x56531,a895)))+~P107(f316(f316(f224(x56531),x56533),x56532))
% 163.96/163.65 [5686]~P111(x56861)+E(f295(x56861,x56862,x56863),f178(f905(x56861,a895)))+~P107(f316(f316(f224(x56861),x56863),x56862))
% 163.96/163.65 [5687]~P111(x56871)+E(f294(x56871,x56872,x56873),f178(f905(x56871,a895)))+~P107(f316(f316(f224(x56871),x56873),x56872))
% 163.96/163.65 [5688]~P111(x56881)+E(f292(x56881,x56882,x56883),f178(f905(x56881,a895)))+~P107(f316(f316(f225(x56881),x56883),x56882))
% 163.96/163.65 [5740]~E(f316(f316(f23(a898),x57401),x57403),x57402)+E(x57401,f316(f316(f74(a898),x57402),x57403))+~P107(f316(f316(f224(a898),x57403),x57401))
% 163.96/163.65 [5741]~E(x57411,f316(f316(f74(a898),x57413),x57412))+E(f316(f316(f23(a898),x57411),x57412),x57413)+~P107(f316(f316(f224(a898),x57412),x57411))
% 163.96/163.65 [5786]~P107(f316(x57861,x57863))+P107(f316(x57861,f478(x57861,x57862)))+~P107(f316(f316(f224(a898),x57863),x57862))
% 163.96/163.65 [5787]~P107(f316(x57871,x57873))+P107(f316(x57871,f488(x57871,x57872)))+~P107(f316(f316(f225(a898),x57873),x57872))
% 163.96/163.65 [5795]~P111(x57951)+~E(f316(f291(x57951,x57952),x57953),f178(f905(x57951,a895)))+~P107(f316(f316(f225(x57951),x57952),x57953))
% 163.96/163.65 [5800]~P109(x58001)+~P107(f316(f316(f225(x58001),x58002),x58003))+P107(f316(f316(f224(x58001),x58002),x58003))
% 163.96/163.65 [5802]~P111(x58021)+~P107(f316(f316(f225(x58021),x58022),x58023))+P107(f316(f316(f224(x58021),x58022),x58023))
% 163.96/163.65 [5921]~P111(x59211)+~E(f294(x59211,x59212,x59213),f178(f905(x59211,a895)))+~P107(f316(f316(f225(x59211),x59212),x59213))
% 163.96/163.65 [5922]~P111(x59221)+~E(f292(x59221,x59222,x59223),f178(f905(x59221,a895)))+~P107(f316(f316(f224(x59221),x59222),x59223))
% 163.96/163.65 [5923]~P111(x59231)+~E(f178(f905(x59231,a895)),f294(x59231,x59232,x59233))+~P107(f316(f316(f225(x59231),x59232),x59233))
% 163.96/163.65 [5924]~P111(x59241)+~E(f178(f905(x59241,a895)),f292(x59241,x59242,x59243))+~P107(f316(f316(f224(x59241),x59242),x59243))
% 163.96/163.65 [5934]P107(f316(x59341,x59342))+~P107(f316(x59341,f479(x59341,x59343)))+~P107(f316(f316(f224(a898),x59342),x59343))
% 163.96/163.65 [5935]P107(f316(x59351,x59352))+~P107(f316(x59351,f489(x59351,x59353)))+~P107(f316(f316(f225(a898),x59352),x59353))
% 163.96/163.65 [5943]~E(x59431,f316(a102,x59433))+P107(f316(f316(f225(a898),x59431),f316(a102,x59432)))+~P107(f316(f316(f225(a898),x59433),x59432))
% 163.96/163.65 [5962]E(x59621,x59622)+~E(f316(f316(f75(a898),x59623),x59621),f316(f316(f75(a898),x59623),x59622))+~P107(f316(f316(f225(a898),f2(a898)),x59623))
% 163.96/163.65 [6021]E(f316(x60211,f492(x60211,x60212,x60213)),f72(a898))+~E(f316(f316(f6(x60213,a898),x60211),x60212),f72(a898))+~P107(f316(f54(x60213),x60212))
% 163.96/163.65 [6038]~P2(x60381)+P107(f316(f316(f224(x60381),x60382),f30(x60381,x60383)))+~P107(f316(f316(f318(x60381),x60382),x60383))
% 163.96/163.65 [6063]~P108(x60631)+~P107(f316(f316(f225(x60631),x60633),x60632))+~P107(f316(f316(f224(x60631),x60632),x60633))
% 163.96/163.65 [6064]~P108(x60641)+~P107(f316(f316(f225(x60641),x60643),x60642))+~P107(f316(f316(f225(x60641),x60642),x60643))
% 163.96/163.65 [6065]~P109(x60651)+~P107(f316(f316(f225(x60651),x60653),x60652))+~P107(f316(f316(f224(x60651),x60652),x60653))
% 163.96/163.65 [6069]~P109(x60691)+~P107(f316(f316(f225(x60691),x60693),x60692))+~P107(f316(f316(f225(x60691),x60692),x60693))
% 163.96/163.65 [6070]~P111(x60701)+~P107(f316(f316(f225(x60701),x60703),x60702))+~P107(f316(f316(f225(x60701),x60702),x60703))
% 163.96/163.65 [6090]~E(x60902,x60903)+~E(x60901,x60902)+E(f279(a898,f276(a898),x60901,x60902),f316(f316(f298(a898),x60903),f178(f905(a898,a895))))
% 163.96/163.65 [6097]~E(f316(x60972,f444(x60972,x60973,x60971)),f72(a898))+E(f316(f316(f9(x60971,a898),x60972),x60973),f72(a898))+~P107(f316(f54(x60971),x60973))
% 163.96/163.65 [6098]~E(f316(x60982,f493(x60982,x60983,x60981)),f2(a898))+E(f316(f316(f6(x60981,a898),x60982),x60983),f2(a898))+~P107(f316(f54(x60981),x60983))
% 163.96/163.65 [6114]~P110(x61141)+~P107(f316(f316(f225(x61141),x61143),x61142))+P107(f316(f316(f318(x61141),x61142),f316(f293(x61141),x61143)))
% 163.96/163.65 [6115]~P110(x61151)+~P107(f316(f316(f224(x61151),x61153),x61152))+P107(f316(f316(f318(x61151),x61152),f316(f272(x61151),x61153)))
% 163.96/163.65 [6116]~P110(x61161)+~P107(f316(f316(f225(x61161),x61162),x61163))+P107(f316(f316(f318(x61161),x61162),f316(f271(x61161),x61163)))
% 163.96/163.65 [6117]~P110(x61171)+~P107(f316(f316(f224(x61171),x61172),x61173))+P107(f316(f316(f318(x61171),x61172),f316(f290(x61171),x61173)))
% 163.96/163.65 [6118]~P115(x61181)+~P107(f316(f316(f276(x61181),x61182),x61183))+P107(f316(f316(f276(x61181),x61182),f316(f73(x61181),x61183)))
% 163.96/163.65 [6119]~P123(x61191)+~P107(f316(f316(f276(x61191),x61192),x61193))+P107(f316(f316(f276(x61191),x61192),f316(f69(x61191),x61193)))
% 163.96/163.65 [6131]E(f316(x61311,f527(x61311,x61312,x61313)),f316(a102,f2(a898)))+~E(f316(f316(f6(x61313,a898),x61311),x61312),f316(a102,f2(a898)))+~P107(f316(f54(x61313),x61312))
% 163.96/163.65 [6215]~P2(x62151)+~P107(f316(f316(f318(x62151),x62153),x62152))+P107(f316(f316(f224(x62151),f31(x62151,x62152)),x62153))
% 163.96/163.65 [6236]~P107(f316(f316(f224(a898),x62361),x62363))+P107(f316(f316(f224(a898),x62361),x62362))+~P107(f316(f316(f224(a898),x62363),x62362))
% 163.96/163.65 [6237]~P107(f316(f316(f224(a1),x62371),x62373))+P107(f316(f316(f224(a1),x62371),x62372))+~P107(f316(f316(f224(a1),x62373),x62372))
% 163.96/163.65 [6238]~P107(f316(f316(f276(a898),x62381),x62383))+P107(f316(f316(f276(a898),x62381),x62382))+~P107(f316(f316(f276(a898),x62383),x62382))
% 163.96/163.65 [6258]~P110(x62581)+~P107(f316(f316(f318(x62581),x62583),f316(f272(x62581),x62582)))+P107(f316(f316(f224(x62581),x62582),x62583))
% 163.96/163.65 [6259]~P110(x62591)+~P107(f316(f316(f318(x62591),x62592),f316(f290(x62591),x62593)))+P107(f316(f316(f224(x62591),x62592),x62593))
% 163.96/163.65 [6260]~P110(x62601)+~P107(f316(f316(f318(x62601),x62603),f316(f293(x62601),x62602)))+P107(f316(f316(f225(x62601),x62602),x62603))
% 163.96/163.65 [6261]~P110(x62611)+~P107(f316(f316(f318(x62611),x62612),f316(f271(x62611),x62613)))+P107(f316(f316(f225(x62611),x62612),x62613))
% 163.96/163.65 [6262]~P123(x62621)+~P107(f316(f316(f276(x62621),x62622),f316(f69(x62621),x62623)))+P107(f316(f316(f276(x62621),x62622),x62623))
% 163.96/163.65 [6263]~P115(x62631)+~P107(f316(f316(f276(x62631),x62632),f316(f73(x62631),x62633)))+P107(f316(f316(f276(x62631),x62632),x62633))
% 163.96/163.65 [6336]~P107(f316(x63361,x63362))+P107(f316(x63361,f773(x63361)))+~P107(f316(f316(f318(x63363),x63362),f231(f905(x63363,a895))))
% 163.96/163.65 [6482]~P67(x64821)+P107(f316(f316(f225(x64821),f2(x64821)),f530(x64823,x64822,x64821)))+P107(f316(f316(f224(x64821),x64822),x64823))
% 163.96/163.65 [6483]~P68(x64831)+P107(f316(f316(f225(x64831),f2(x64831)),f762(x64833,x64832,x64831)))+P107(f316(f316(f224(x64831),x64832),x64833))
% 163.96/163.65 [6552]~P79(x65521)+~P107(f316(f316(f224(x65521),x65523),f316(f73(x65521),x65522)))+P107(f316(f316(f224(x65521),x65522),f316(f73(x65521),x65523)))
% 163.96/163.65 [6554]~P79(x65541)+~P107(f316(f316(f225(x65541),x65543),f316(f73(x65541),x65542)))+P107(f316(f316(f225(x65541),x65542),f316(f73(x65541),x65543)))
% 163.96/163.65 [6566]~P107(f316(f316(f225(a898),x65661),x65663))+~P107(f316(f316(f225(a898),x65663),x65662))+P107(f316(f316(f225(a898),f316(a102,x65661)),x65662))
% 163.96/163.65 [6596]~P126(x65961)+P107(f316(f316(f224(x65961),f316(f90(x65961),x65962)),f316(f90(x65961),x65963)))+~P107(f316(f316(f224(a898),x65962),x65963))
% 163.96/163.65 [6597]~P123(x65971)+P107(f316(f316(f224(x65971),f316(f92(x65971),x65972)),f316(f92(x65971),x65973)))+~P107(f316(f316(f224(a1),x65972),x65973))
% 163.96/163.65 [6599]~P123(x65991)+P107(f316(f316(f225(x65991),f316(f92(x65991),x65992)),f316(f92(x65991),x65993)))+~P107(f316(f316(f225(a1),x65992),x65993))
% 163.96/163.65 [6600]~P126(x66001)+P107(f316(f316(f225(x66001),f316(f90(x66001),x66002)),f316(f90(x66001),x66003)))+~P107(f316(f316(f225(a898),x66002),x66003))
% 163.96/163.65 [6606]~P108(x66061)+E(f316(f316(f100(f905(x66061,a895)),f316(f271(x66061),x66062)),f316(f291(x66061,x66062),x66063)),f316(f271(x66061),x66063))+~P107(f316(f316(f224(x66061),x66062),x66063))
% 163.96/163.65 [6636]~P79(x66361)+~P107(f316(f316(f224(x66361),x66363),x66362))+P107(f316(f316(f224(x66361),f316(f73(x66361),x66362)),f316(f73(x66361),x66363)))
% 163.96/163.65 [6638]~P94(x66381)+~P107(f316(f316(f224(x66381),x66383),x66382))+P107(f316(f316(f224(x66381),f316(f73(x66381),x66382)),f316(f73(x66381),x66383)))
% 163.96/163.65 [6639]~P79(x66391)+~P107(f316(f316(f225(x66391),x66393),x66392))+P107(f316(f316(f225(x66391),f316(f73(x66391),x66392)),f316(f73(x66391),x66393)))
% 163.96/163.65 [6675]~P108(x66751)+E(f316(f316(f100(f905(x66751,a895)),f316(f271(x66751),x66752)),f292(x66751,x66752,x66753)),f316(f290(x66751),x66753))+~P107(f316(f316(f224(x66751),x66752),x66753))
% 163.96/163.65 [6676]~P108(x66761)+E(f316(f316(f100(f905(x66761,a895)),f316(f290(x66761),x66762)),f295(x66761,x66762,x66763)),f316(f271(x66761),x66763))+~P107(f316(f316(f225(x66761),x66762),x66763))
% 163.96/163.65 [6677]~P108(x66771)+E(f316(f316(f100(f905(x66771,a895)),f316(f290(x66771),x66772)),f294(x66771,x66772,x66773)),f316(f290(x66771),x66773))+~P107(f316(f316(f224(x66771),x66772),x66773))
% 163.96/163.65 [6711]~P108(x67111)+E(f316(f316(f100(f905(x67111,a895)),f316(f291(x67111,x67112),x67113)),f316(f272(x67111),x67113)),f316(f272(x67111),x67112))+~P107(f316(f316(f224(x67111),x67112),x67113))
% 163.96/163.65 [6872]~P108(x68721)+E(f316(f316(f100(f905(x68721,a895)),f295(x68721,x68722,x68723)),f316(f272(x68721),x68723)),f316(f293(x68721),x68722))+~P107(f316(f316(f225(x68721),x68722),x68723))
% 163.96/163.65 [6873]~P108(x68731)+E(f316(f316(f100(f905(x68731,a895)),f294(x68731,x68732,x68733)),f316(f293(x68731),x68733)),f316(f293(x68731),x68732))+~P107(f316(f316(f224(x68731),x68732),x68733))
% 163.96/163.65 [6874]~P108(x68741)+E(f316(f316(f100(f905(x68741,a895)),f292(x68741,x68742,x68743)),f316(f293(x68741),x68743)),f316(f272(x68741),x68742))+~P107(f316(f316(f224(x68741),x68742),x68743))
% 163.96/163.65 [6893]P107(f316(x68931,x68932))+~P107(f316(f316(f224(a898),x68932),x68933))+P107(f316(f316(f318(a898),f479(x68931,x68933)),f292(a898,f2(a898),x68933)))
% 163.96/163.65 [6927]E(x69271,x69272)+~E(f316(f316(f154(x69273),x69271),f643(x69273,x69272,x69271)),f316(f316(f154(x69273),x69272),f643(x69273,x69272,x69271)))+~E(f316(f179(f899(x69273)),x69271),f316(f179(f899(x69273)),x69272))
% 163.96/163.65 [6932]~E(x69323,f316(f316(f29(a898),x69321),x69322))+~P107(f316(f316(f225(a898),f2(a898)),x69322))+P107(f316(f316(f225(a898),x69321),f316(f316(f75(a898),x69322),f316(a102,x69323))))
% 163.96/163.65 [6948]~P107(f316(x69481,x69483))+~P107(f316(f316(f224(a898),x69483),x69482))+P107(f316(f316(f318(a898),f478(x69481,x69482)),f292(a898,f2(a898),x69482)))
% 163.96/163.65 [6987]~P107(f316(x69871,x69873))+P107(f316(x69871,f491(x69871,x69872)))+~P107(f316(f316(f318(a898),x69873),f292(a898,f2(a898),x69872)))
% 163.96/163.65 [7005]~P126(x70053)+~P107(f316(f316(f224(x70053),f316(f90(x70053),x70051)),f316(f90(x70053),x70052)))+P107(f316(f316(f224(a898),x70051),x70052))
% 163.96/163.65 [7006]~P123(x70063)+~P107(f316(f316(f224(x70063),f316(f92(x70063),x70061)),f316(f92(x70063),x70062)))+P107(f316(f316(f224(a1),x70061),x70062))
% 163.96/163.65 [7008]~P126(x70083)+~P107(f316(f316(f225(x70083),f316(f90(x70083),x70081)),f316(f90(x70083),x70082)))+P107(f316(f316(f225(a898),x70081),x70082))
% 163.96/163.65 [7009]~P123(x70093)+~P107(f316(f316(f225(x70093),f316(f92(x70093),x70091)),f316(f92(x70093),x70092)))+P107(f316(f316(f225(a1),x70091),x70092))
% 163.96/163.65 [7026]~P126(x70261)+~P107(f316(f316(f225(x70261),f72(x70261)),x70262))+P107(f316(f316(f225(x70261),f72(x70261)),f316(f316(f233(x70261),x70262),f316(a102,x70263))))
% 163.96/163.65 [7028]~P79(x70281)+~P107(f316(f316(f224(x70281),f316(f73(x70281),x70283)),f316(f73(x70281),x70282)))+P107(f316(f316(f224(x70281),x70282),x70283))
% 163.96/163.65 [7029]~P94(x70291)+~P107(f316(f316(f224(x70291),f316(f73(x70291),x70293)),f316(f73(x70291),x70292)))+P107(f316(f316(f224(x70291),x70292),x70293))
% 163.96/163.65 [7030]~P79(x70301)+~P107(f316(f316(f225(x70301),f316(f73(x70301),x70303)),f316(f73(x70301),x70302)))+P107(f316(f316(f225(x70301),x70302),x70303))
% 163.96/163.65 [7054]P107(f316(x70541,x70542))+~P107(f316(x70541,f480(x70541,x70543)))+~P107(f316(f316(f318(a898),x70542),f292(a898,f2(a898),x70543)))
% 163.96/163.65 [7076]~P67(x70761)+P107(f316(f316(f225(x70761),f530(x70763,x70762,x70761)),f72(x70761)))+P107(f316(f316(f224(x70761),x70762),x70763))
% 163.96/163.65 [7097]~E(f38(a898,x70973,x70972),f38(a898,x70971,x70972))+E(f316(f316(f74(a898),x70971),f316(f316(f75(a898),x70972),f589(x70971,x70972,x70973))),x70973)+~P107(f316(f316(f224(a898),x70971),x70973))
% 163.96/163.65 [7153]E(f316(f316(f9(x71531,a898),x71532),x71533),f72(a898))+~P107(f316(f54(x71531),x71533))+P107(f316(f316(f318(x71531),f444(x71532,x71533,x71531)),x71533))
% 163.96/163.65 [7154]E(f316(f316(f6(x71541,a898),x71542),x71543),f2(a898))+~P107(f316(f54(x71541),x71543))+P107(f316(f316(f318(x71541),f493(x71542,x71543,x71541)),x71543))
% 163.96/163.65 [7176]~P108(x71761)+~P107(f316(f316(f224(x71761),x71762),x71763))+P107(f316(f316(f224(f905(x71761,a895)),f316(f271(x71761),x71762)),f316(f271(x71761),x71763)))
% 163.96/163.65 [7177]~P111(x71771)+~P107(f316(f316(f224(x71771),x71772),x71773))+P107(f316(f316(f224(f905(x71771,a895)),f316(f290(x71771),x71772)),f316(f290(x71771),x71773)))
% 163.96/163.65 [7178]~P108(x71781)+~P107(f316(f316(f224(x71781),x71783),x71782))+P107(f316(f316(f224(f905(x71781,a895)),f316(f293(x71781),x71782)),f316(f293(x71781),x71783)))
% 163.96/163.65 [7179]~P111(x71791)+~P107(f316(f316(f224(x71791),x71793),x71792))+P107(f316(f316(f224(f905(x71791,a895)),f316(f272(x71791),x71792)),f316(f272(x71791),x71793)))
% 163.96/163.65 [7180]~P108(x71801)+~P107(f316(f316(f225(x71801),x71802),x71803))+P107(f316(f316(f225(f905(x71801,a895)),f316(f271(x71801),x71802)),f316(f271(x71801),x71803)))
% 163.96/163.65 [7191]~P2(x71911)+P107(f316(f316(f224(x71911),x71912),f31(x71911,x71913)))+P107(f316(f316(f318(x71911),f336(x71913,x71912,x71911)),x71913))
% 163.96/163.65 [7197]~P79(x71971)+P107(f316(f316(f224(x71971),f316(f316(f23(x71971),x71972),x71973)),f2(x71971)))+~P107(f316(f316(f224(x71971),x71972),x71973))
% 163.96/163.65 [7198]~P79(x71981)+P107(f316(f316(f225(x71981),f316(f316(f23(x71981),x71982),x71983)),f2(x71981)))+~P107(f316(f316(f225(x71981),x71982),x71983))
% 163.96/163.65 [7240]P107(f316(x72401,x72402))+P107(f316(f316(f224(a898),f480(x72401,x72403)),x72403))+~P107(f316(f316(f318(a898),x72402),f292(a898,f2(a898),x72403)))
% 163.96/163.65 [7282]~E(f316(f316(f6(x72821,a898),x72822),x72823),f72(a898))+~P107(f316(f54(x72821),x72823))+P107(f316(f316(f318(x72821),f492(x72822,x72823,x72821)),x72823))
% 163.96/163.65 [7283]~P107(f316(x72831,x72833))+P107(f316(f316(f224(a898),f491(x72831,x72832)),x72832))+~P107(f316(f316(f318(a898),x72833),f292(a898,f2(a898),x72832)))
% 163.96/163.65 [7323]~P2(x73231)+P107(f316(f316(f318(x73231),f385(x73233,x73232,x73231)),x73232))+P107(f316(f316(f224(x73231),f30(x73231,x73232)),x73233))
% 163.96/163.65 [7357]~E(f316(f316(f6(x73571,a898),x73572),x73573),f316(a102,f2(a898)))+~P107(f316(f54(x73571),x73573))+P107(f316(f316(f318(x73571),f527(x73572,x73573,x73571)),x73573))
% 163.96/163.65 [7368]E(x73681,f2(a898))+P107(f316(x73682,f38(a898,x73683,x73681)))+P107(f316(f316(f225(a898),f445(x73681,x73683,x73682)),x73681))
% 163.96/163.65 [7479]~P107(f316(x74791,x74792))+P107(f316(x74791,f38(a898,x74792,x74793)))+P107(f316(f316(f225(a898),f445(x74793,x74792,x74791)),x74793))
% 163.96/163.65 [7593]E(x75931,f103(x75932))+~P107(f316(f316(f318(f899(x75932)),x75931),f151(x75932,x75933)))+P107(f316(f316(f318(x75932),f682(x75933,x75931,x75932)),x75933))
% 163.96/163.65 [7616]~P108(x76161)+E(f316(f316(f100(f905(x76161,a895)),f316(f316(f298(x76161),x76162),f178(f905(x76161,a895)))),f295(x76161,x76162,x76163)),f316(f291(x76161,x76162),x76163))+~P107(f316(f316(f225(x76161),x76162),x76163))
% 163.96/163.65 [7637]~P108(x76371)+E(f316(f316(f100(f905(x76371,a895)),f316(f316(f298(x76371),x76372),f178(f905(x76371,a895)))),f294(x76371,x76372,x76373)),f292(x76371,x76372,x76373))+~P107(f316(f316(f224(x76371),x76372),x76373))
% 163.96/163.65 [7748]~P108(x77481)+P107(f316(f316(f224(x77481),x77482),x77483))+~P107(f316(f316(f224(f905(x77481,a895)),f316(f293(x77481),x77483)),f316(f293(x77481),x77482)))
% 163.96/163.65 [7749]~P111(x77491)+P107(f316(f316(f224(x77491),x77492),x77493))+~P107(f316(f316(f224(f905(x77491,a895)),f316(f272(x77491),x77493)),f316(f272(x77491),x77492)))
% 163.96/163.65 [7750]~P108(x77501)+P107(f316(f316(f224(x77501),x77502),x77503))+~P107(f316(f316(f224(f905(x77501,a895)),f316(f271(x77501),x77502)),f316(f271(x77501),x77503)))
% 163.96/163.65 [7751]~P111(x77511)+P107(f316(f316(f224(x77511),x77512),x77513))+~P107(f316(f316(f224(f905(x77511,a895)),f316(f290(x77511),x77512)),f316(f290(x77511),x77513)))
% 163.96/163.65 [7752]~P108(x77521)+P107(f316(f316(f225(x77521),x77522),x77523))+~P107(f316(f316(f225(f905(x77521,a895)),f316(f271(x77521),x77522)),f316(f271(x77521),x77523)))
% 163.96/163.65 [7775]~P79(x77751)+~P107(f316(f316(f224(x77751),f316(f316(f23(x77751),x77752),x77753)),f2(x77751)))+P107(f316(f316(f224(x77751),x77752),x77753))
% 163.96/163.65 [7776]~P79(x77761)+~P107(f316(f316(f225(x77761),f316(f316(f23(x77761),x77762),x77763)),f2(x77761)))+P107(f316(f316(f225(x77761),x77762),x77763))
% 163.96/163.65 [7933]E(x79331,f2(a898))+~E(f316(f132(a898,a898,f74(a898),x79332),x79333),f2(a898))+~P107(f316(f316(f318(a898),x79331),f316(f162(a898),x79333)))
% 163.96/163.65 [7937]~P2(x79371)+~P107(f316(f316(f224(x79371),f385(x79373,x79372,x79371)),x79373))+P107(f316(f316(f224(x79371),f30(x79371,x79372)),x79373))
% 163.96/163.65 [8093]P107(f316(f316(f224(a1),f2(a1)),f438(x80931,x80932,x80933)))+P107(f316(f316(x80932,f316(f316(f29(a1),x80931),x80933)),f38(a1,x80931,x80933)))+~P107(f316(f316(f225(a1),f2(a1)),x80933))
% 163.96/163.65 [8181]E(x81811,x81812)+~E(f316(f179(f899(x81813)),x81811),f316(f179(f899(x81813)),x81812))+~P107(f316(f316(f246(x81813,x81813,a895),a313),f656(x81813,x81811,x81812)))
% 163.96/163.65 [8251]~P36(x82512,x82513)+E(x82511,f178(f905(x82512,a895)))+~P107(f316(f316(f224(f905(x82512,a895)),x82511),f316(f274(x82512,x82512,x82513),x82511)))
% 163.96/163.65 [8282]~P68(x82821)+~P107(f316(f316(f224(x82821),x82822),f316(f316(f74(x82821),x82823),f762(x82823,x82822,x82821))))+P107(f316(f316(f224(x82821),x82822),x82823))
% 163.96/163.65 [8317]P52(x83171,x83172,x83173)+P107(f316(f316(f318(x83171),f565(x83173,x83172,x83171)),x83172))+P107(f316(f316(f318(f904(x83171,x83171)),f566(x83173,x83172,x83171)),x83173))
% 163.96/163.65 [8338]P107(f316(f316(x83382,f316(f316(f29(a1),x83381),x83383)),f38(a1,x83381,x83383)))+~P107(f316(f316(f225(a1),f2(a1)),x83383))+P107(f316(f316(f225(a1),f438(x83381,x83382,x83383)),x83383))
% 163.96/163.65 [8362]E(f316(f299(a898,a898,f316(f316(f7(a898,a898,a898),f23(a898)),x83621)),f316(f291(a898,x83622),x83623)),f178(f905(a898,a895)))+P107(f316(f316(f225(a898),x83621),x83623))+P107(f316(f316(f225(a898),x83622),x83623))
% 163.96/163.65 [8474]E(f316(f299(a898,a898,f316(f316(f7(a898,a898,a898),f23(a898)),x84741)),f316(f291(a898,x84742),x84743)),f316(f316(f298(a898),f2(a898)),f178(f905(a898,a895))))+P107(f316(f316(f225(a898),x84741),x84743))+~P107(f316(f316(f225(a898),x84742),x84743))
% 163.96/163.65 [8488]~P108(x84881)+E(f139(x84881,x84881,f5(x84881),x84882,x84883),x84883)+~P107(f316(f316(f318(x84881),x84882),f316(f162(x84881),x84883)))
% 163.96/163.65 [8501]P22(x85011,x85011,x85012,x85013)+~P107(f316(f54(x85011),x85013))+~P107(f316(f316(f224(f905(x85011,a895)),x85013),f316(f299(x85011,x85011,x85012),x85013)))
% 163.96/163.65 [8526]E(f316(f316(f74(a1),f316(f316(f75(a1),x85261),f439(x85262,x85263,x85261))),f438(x85262,x85263,x85261)),x85262)+P107(f316(f316(x85263,f316(f316(f29(a1),x85262),x85261)),f38(a1,x85262,x85261)))+~P107(f316(f316(f225(a1),f2(a1)),x85261))
% 163.96/163.65 [8766]~P107(f316(f316(x87661,f439(x87662,x87661,x87663)),f438(x87662,x87661,x87663)))+P107(f316(f316(x87661,f316(f316(f29(a1),x87662),x87663)),f38(a1,x87662,x87663)))+~P107(f316(f316(f225(a1),f2(a1)),x87663))
% 163.96/163.65 [9663]~P107(f316(f54(x96631),x96632))+~P107(f316(f316(f318(x96631),x96633),x96632))+P107(f316(f316(f225(a898),f316(f28(x96631),f316(f316(f23(f905(x96631,a895)),x96632),f316(f316(f298(x96631),x96633),f178(f905(x96631,a895)))))),f316(f28(x96631),x96632)))
% 163.96/163.65 [10269]P52(x102691,x102692,x102693)+~P107(f316(f316(f246(x102691,x102691,a895),f316(f316(f7(x102691,f905(x102691,a895),f905(x102691,a895)),f316(f316(f8(f905(a895,a895),f905(f905(x102691,a895),f905(x102691,a895)),x102691),f8(a895,a895,x102691)),f316(f316(f8(a895,f905(a895,a895),x102691),a314),f316(f316(f7(x102691,f905(x102691,a895),a895),f318(x102691)),x102692)))),f316(f316(f7(x102691,f905(x102691,a895),a895),f318(x102691)),x102692))),f566(x102693,x102692,x102691)))+P107(f316(f316(f318(x102691),f565(x102693,x102692,x102691)),x102692))
% 163.96/163.65 [5561]~P120(x55612)+E(x55611,f2(x55612))+E(f316(f316(f280(x55612),x55613),f316(f73(x55612),x55611)),f316(f73(x55612),f316(f316(f280(x55612),x55613),x55611)))
% 163.96/163.65 [5702]~E(x57023,f178(f905(x57021,a895)))+~E(x57022,f178(f905(x57021,a895)))+E(f316(f316(f100(f905(x57021,a895)),x57022),x57023),f178(f905(x57021,a895)))
% 163.96/163.65 [5760]~E(x57603,f2(a898))+~P107(f316(x57601,f2(a898)))+P107(f316(x57601,f316(f316(f29(a898),x57602),x57603)))
% 163.96/163.65 [5913]~P68(x59132)+E(x59131,f2(x59132))+E(f316(f316(f280(x59132),f316(f69(x59132),x59133)),f316(f69(x59132),x59131)),f316(f69(x59132),f316(f316(f280(x59132),x59133),x59131)))
% 163.96/163.65 [6031]~P62(x60311)+E(f316(f316(f75(x60311),x60312),f316(f316(f29(x60311),x60313),x60312)),x60313)+~P107(f316(f316(f276(x60311),x60312),x60313))
% 163.96/163.65 [6086]~P107(f316(f54(x60861),x60863))+E(f316(f28(x60861),f316(f316(f298(x60861),x60862),x60863)),f316(a102,f316(f28(x60861),x60863)))+P107(f316(f316(f318(x60861),x60862),x60863))
% 163.96/163.65 [6163]~E(x61632,f2(a898))+P107(f316(x61631,f2(a898)))+~P107(f316(x61631,f316(f316(f29(a898),x61633),x61632)))
% 163.96/163.65 [6180]~P107(f316(f54(x61801),x61803))+E(f316(f28(x61801),f316(f316(f298(x61801),x61802),x61803)),f316(f28(x61801),x61803))+~P107(f316(f316(f318(x61801),x61802),x61803))
% 163.96/163.65 [6217]~P107(f316(f54(x62171),x62173))+E(f316(f28(x62171),f316(f316(f298(x62171),x62172),x62173)),f316(f316(f74(a898),f72(a898)),f316(f28(x62171),x62173)))+P107(f316(f316(f318(x62171),x62172),x62173))
% 163.96/163.65 [6224]~P63(x62241)+E(f316(f316(f29(x62241),x62242),f316(f73(x62241),x62243)),f316(f73(x62241),f316(f316(f29(x62241),x62242),x62243)))+~P107(f316(f316(f276(x62241),x62243),x62242))
% 163.96/163.65 [6337]E(f316(f316(f74(a898),x63371),f391(x63371,x63372,x63373)),x63372)+~P107(f316(x63373,f2(a898)))+P107(f316(x63373,f316(f316(f23(a898),x63372),x63371)))
% 163.96/163.65 [6338]E(f316(f316(f74(a898),x63381),f392(x63381,x63382,x63383)),x63382)+~P107(f316(x63383,f2(a898)))+P107(f316(x63383,f316(f316(f23(a898),x63382),x63381)))
% 163.96/163.65 [6362]~P63(x63621)+E(f316(f316(f29(x63621),f316(f73(x63621),x63622)),x63623),f316(f73(x63621),f316(f316(f29(x63621),x63622),x63623)))+~P107(f316(f316(f276(x63621),x63623),x63622))
% 163.96/163.65 [6386]~P2(x63861)+~P107(f316(f54(x63861),x63863))+E(f316(f316(f57(x63861,x63861,f100(x63861)),x63862),x63863),f316(f316(f100(x63861),x63862),f30(x63861,x63863)))
% 163.96/163.65 [6387]~P2(x63871)+~P107(f316(f54(x63871),x63873))+E(f316(f316(f57(x63871,x63871,f91(x63871)),x63872),x63873),f316(f316(f91(x63871),x63872),f31(x63871,x63873)))
% 163.96/163.65 [6393]~P98(x63931)+~E(f316(f93(x63931),x63932),f316(f93(x63931),x63933))+P26(x63931,f316(f93(x63931),f316(f316(f74(a1),x63932),f316(f73(a1),x63933))))
% 163.96/163.65 [6402]~P141(x64021)+E(f316(f316(f23(x64021),f316(f90(x64021),x64022)),f316(f90(x64021),x64023)),f316(f90(x64021),f316(f316(f23(a898),x64022),x64023)))+~P107(f316(f316(f224(a898),x64023),x64022))
% 163.96/163.65 [6409]~P115(x64091)+~P107(f316(f316(f276(x64091),x64092),x64093))+P107(f316(f316(f276(x64091),f316(f73(x64091),x64092)),x64093))
% 163.96/163.65 [6410]~P123(x64101)+~P107(f316(f316(f276(x64101),x64102),x64103))+P107(f316(f316(f276(x64101),f316(f69(x64101),x64102)),x64103))
% 163.96/163.65 [6493]E(f316(f316(f74(a898),x64931),f391(x64931,x64932,x64933)),x64932)+P107(f316(f316(f225(a898),x64932),x64931))+P107(f316(x64933,f316(f316(f23(a898),x64932),x64931)))
% 163.96/163.65 [6494]E(f316(f316(f74(a898),x64941),f392(x64941,x64942,x64943)),x64942)+P107(f316(f316(f225(a898),x64942),x64941))+P107(f316(x64943,f316(f316(f23(a898),x64942),x64941)))
% 163.96/163.65 [6510]~P123(x65101)+E(f316(f316(f75(x65101),f316(f69(x65101),x65102)),x65103),f316(f69(x65101),f316(f316(f75(x65101),x65102),x65103)))+~P107(f316(f316(f224(x65101),f2(x65101)),x65103))
% 163.96/163.65 [6511]~P67(x65111)+E(f316(f316(f280(x65111),f316(f69(x65111),x65112)),x65113),f316(f69(x65111),f316(f316(f280(x65111),x65112),x65113)))+~P107(f316(f316(f225(x65111),f2(x65111)),x65113))
% 163.96/163.65 [6520]~P84(x65201)+~P107(f316(f54(x65201),x65203))+E(f316(f316(f57(x65201,x65201,f91(x65201)),x65202),x65203),f10(x65201,f316(f316(f298(x65201),x65202),x65203)))
% 163.96/163.65 [6521]~P84(x65211)+~P107(f316(f54(x65211),x65213))+E(f316(f316(f57(x65211,x65211,f100(x65211)),x65212),x65213),f13(x65211,f316(f316(f298(x65211),x65212),x65213)))
% 163.96/163.65 [6522]~P108(x65221)+~P107(f316(f54(x65221),x65223))+E(f316(f316(f57(x65221,x65221,f222(x65221)),x65222),x65223),f14(x65221,f316(f316(f298(x65221),x65222),x65223)))
% 163.96/163.65 [6523]~P108(x65231)+~P107(f316(f54(x65231),x65233))+E(f316(f316(f57(x65231,x65231,f223(x65231)),x65232),x65233),f15(x65231,f316(f316(f298(x65231),x65232),x65233)))
% 163.96/163.65 [6568]E(x65681,f103(x65682))+~E(f169(x65682,x65683),f103(f899(x65682)))+~P107(f316(f316(f318(f899(x65682)),x65681),f316(f162(f899(x65682)),x65683)))
% 163.96/163.65 [6614]~P107(f316(f127(x66141),x66143))+P107(f316(f316(f318(x66141),x66142),f316(f162(x66141),x66143)))+P107(f316(f127(x66141),f316(f316(f141(x66141),x66142),x66143)))
% 163.96/163.65 [6625]~P99(x66251)+~P107(f316(f54(x66251),x66253))+E(f316(f56(x66251,f75(x66251)),f316(f316(f298(x66251),x66252),x66253)),f316(f316(f57(x66251,x66251,f75(x66251)),x66252),x66253))
% 163.96/163.65 [6647]~P108(x66471)+~P107(f316(f54(x66471),x66473))+E(f11(x66471,f222(x66471),f316(f316(f298(x66471),x66472),x66473)),f316(f316(f57(x66471,x66471,f222(x66471)),x66472),x66473))
% 163.96/163.65 [6648]~P108(x66481)+~P107(f316(f54(x66481),x66483))+E(f12(x66481,f223(x66481),f316(f316(f298(x66481),x66482),x66483)),f316(f316(f57(x66481,x66481,f223(x66481)),x66482),x66483))
% 163.96/163.65 [6650]P107(f316(x66501,f2(a898)))+~P107(f316(f316(f225(a898),x66502),x66503))+~P107(f316(x66501,f316(f316(f23(a898),x66502),x66503)))
% 163.96/163.65 [6671]~P89(x66711)+P107(f316(f316(f224(x66711),x66712),x66713))+~P107(f316(f316(f224(x66711),f316(f69(x66711),x66712)),x66713))
% 163.96/163.65 [6672]~P123(x66721)+P107(f316(f316(f225(x66721),x66722),x66723))+~P107(f316(f316(f225(x66721),f316(f69(x66721),x66722)),x66723))
% 163.96/163.65 [6673]~P123(x66731)+P107(f316(f316(f276(x66731),x66732),x66733))+~P107(f316(f316(f276(x66731),f316(f69(x66731),x66732)),x66733))
% 163.96/163.65 [6674]~P115(x66741)+P107(f316(f316(f276(x66741),x66742),x66743))+~P107(f316(f316(f276(x66741),f316(f73(x66741),x66742)),x66743))
% 163.96/163.65 [6691]E(x66911,f103(x66912))+E(f316(f131(x66912),f316(f316(f128(x66912),x66913),x66911)),f316(f316(f154(x66912),x66911),x66913))+~P107(f316(f316(f225(a898),x66913),f316(f179(f899(x66912)),x66911)))
% 163.96/163.65 [6746]~P107(f316(x67461,x67463))+P107(f316(x67461,f494(x67461,x67462)))+~P107(f316(f316(f318(a898),x67463),f316(f291(a898,f2(a898)),x67462)))
% 163.96/163.65 [6766]P107(f316(x67661,x67662))+~P107(f316(f316(f225(a898),x67662),x67663))+P107(f316(f316(f318(a898),f489(x67661,x67663)),f316(f291(a898,f2(a898)),x67663)))
% 163.96/163.65 [6781]~P126(x67811)+~P107(f316(f316(f224(x67811),f72(x67811)),x67812))+P107(f316(f316(f224(x67811),f72(x67811)),f316(f316(f233(x67811),x67812),x67813)))
% 163.96/163.65 [6783]~P126(x67831)+~P107(f316(f316(f224(x67831),f2(x67831)),x67832))+P107(f316(f316(f224(x67831),f2(x67831)),f316(f316(f233(x67831),x67832),x67833)))
% 163.96/163.65 [6785]~P126(x67851)+~P107(f316(f316(f225(x67851),f2(x67851)),x67852))+P107(f316(f316(f225(x67851),f2(x67851)),f316(f316(f233(x67851),x67852),x67853)))
% 163.96/163.65 [6810]~P107(f316(x68101,x68103))+~P107(f316(f316(f225(a898),x68103),x68102))+P107(f316(f316(f318(a898),f488(x68101,x68102)),f316(f291(a898,f2(a898)),x68102)))
% 163.96/163.65 [6818]P107(f316(f54(x68181),x68182))+~P107(f316(f54(x68181),x68183))+~P107(f316(f316(f224(f905(x68181,a895)),x68182),x68183))
% 163.96/163.65 [6825]~P107(f316(f316(f276(a898),x68251),x68252))+~P107(f316(f316(f276(a898),x68251),x68253))+P107(f316(f316(f276(a898),x68251),f316(f316(f23(a898),x68252),x68253)))
% 163.96/163.65 [6826]P107(f316(x68261,x68262))+~P107(f316(x68261,f490(x68261,x68263)))+~P107(f316(f316(f318(a898),x68262),f316(f291(a898,f2(a898)),x68263)))
% 163.96/163.65 [6839]E(x68391,f2(a898))+P107(f316(x68392,f434(x68391,x68393,x68392)))+~P107(f316(x68392,f316(f316(f29(a898),x68393),x68391)))
% 163.96/163.65 [6847]~P128(x68472)+E(x68471,f2(x68472))+~E(f316(f316(f74(x68472),f316(f316(f75(x68472),x68473),x68473)),f316(f316(f75(x68472),x68471),x68471)),f2(x68472))
% 163.96/163.65 [6848]~P128(x68482)+E(x68481,f2(x68482))+~E(f316(f316(f74(x68482),f316(f316(f75(x68482),x68481),x68481)),f316(f316(f75(x68482),x68483),x68483)),f2(x68482))
% 163.96/163.65 [6894]E(x68941,f2(a898))+~P107(f316(x68942,f429(x68941,x68943,x68942)))+P107(f316(x68942,f316(f316(f29(a898),x68943),x68941)))
% 163.96/163.65 [6899]~P108(x68991)+~P10(x68991,x68993)+P10(x68991,f316(f316(f138(x68991,x68991,f5(x68991)),x68992),x68993))
% 163.96/163.65 [6941]P107(f316(x69411,f434(x69412,x69413,x69411)))+P107(f316(x69411,f2(a898)))+~P107(f316(x69411,f316(f316(f29(a898),x69413),x69412)))
% 163.96/163.65 [6947]~P98(x69471)+E(f316(f93(x69471),x69472),f316(f93(x69471),x69473))+~P26(x69471,f316(f93(x69471),f316(f316(f74(a1),x69472),f316(f73(a1),x69473))))
% 163.96/163.65 [7012]E(x70121,f2(a1))+E(x70122,f2(a1))+~P107(f316(f42(x70122,x70122),f316(f316(f241(a1,a1),x70123),x70121)))
% 163.96/163.65 [7013]E(x70131,f72(a1))+E(x70132,f2(a1))+~P107(f316(f42(x70132,x70132),f316(f316(f241(a1,a1),x70131),x70133)))
% 163.96/163.65 [7027]P107(f316(x70271,x70272))+P107(f316(f316(f225(a898),f490(x70271,x70273)),x70273))+~P107(f316(f316(f318(a898),x70272),f316(f291(a898,f2(a898)),x70273)))
% 163.96/163.65 [7050]~P107(f316(x70501,f391(x70503,x70502,x70501)))+~P107(f316(x70501,f2(a898)))+P107(f316(x70501,f316(f316(f23(a898),x70502),x70503)))
% 163.96/163.65 [7051]~P107(f316(x70511,f392(x70513,x70512,x70511)))+~P107(f316(x70511,f2(a898)))+P107(f316(x70511,f316(f316(f23(a898),x70512),x70513)))
% 163.96/163.65 [7052]~P107(f316(x70521,f429(x70523,x70522,x70521)))+~P107(f316(x70521,f2(a898)))+P107(f316(x70521,f316(f316(f29(a898),x70522),x70523)))
% 163.96/163.65 [7072]~P107(f316(x70721,x70723))+P107(f316(f316(f225(a898),f494(x70721,x70722)),x70722))+~P107(f316(f316(f318(a898),x70723),f316(f291(a898,f2(a898)),x70722)))
% 163.96/163.65 [7073]E(f316(f316(f23(a898),f316(f316(f23(a898),x70731),x70732)),f316(f316(f23(a898),x70733),x70732)),f316(f316(f23(a898),x70731),x70733))+~P107(f316(f316(f224(a898),x70732),x70731))+~P107(f316(f316(f224(a898),x70732),x70733))
% 163.96/163.65 [7110]~P79(x71101)+~P107(f316(f316(f224(x71101),f316(f73(x71101),x71103)),x71102))+P107(f316(f316(f224(x71101),f316(f73(x71101),x71102)),x71103))
% 163.96/163.65 [7112]~P89(x71121)+~P107(f316(f316(f224(x71121),f316(f69(x71121),x71122)),x71123))+P107(f316(f316(f224(x71121),f316(f73(x71121),x71122)),x71123))
% 163.96/163.65 [7114]~P79(x71141)+~P107(f316(f316(f225(x71141),f316(f73(x71141),x71143)),x71142))+P107(f316(f316(f225(x71141),f316(f73(x71141),x71142)),x71143))
% 163.96/163.65 [7115]~P123(x71151)+~P107(f316(f316(f225(x71151),f316(f69(x71151),x71152)),x71153))+P107(f316(f316(f225(x71151),f316(f73(x71151),x71152)),x71153))
% 163.96/163.65 [7148]~P107(f316(x71483,f391(x71482,x71481,x71483)))+P107(f316(f316(f225(a898),x71481),x71482))+P107(f316(x71483,f316(f316(f23(a898),x71481),x71482)))
% 163.96/163.65 [7149]~P107(f316(x71493,f392(x71492,x71491,x71493)))+P107(f316(f316(f225(a898),x71491),x71492))+P107(f316(x71493,f316(f316(f23(a898),x71491),x71492)))
% 163.96/163.65 [7201]~E(f858(x72013,x72012,x72011),f859(x72013,x72012,x72011))+E(f316(f316(f91(f905(x72011,a895)),x72012),f30(f905(x72011,a895),x72013)),f178(f905(x72011,a895)))+P107(f316(f316(f318(f905(x72011,a895)),x72012),x72013))
% 163.96/163.65 [7209]~P107(f316(f54(x72091),x72093))+P107(f316(f54(x72091),f31(f905(x72091,a895),x72092)))+~P107(f316(f316(f318(f905(x72091,a895)),x72093),x72092))
% 163.96/163.65 [7269]~P108(x72691)+E(f316(f316(f100(f905(x72691,a895)),f316(f291(x72691,x72692),x72693)),f316(f316(f298(x72691),x72693),f178(f905(x72691,a895)))),f292(x72691,x72692,x72693))+~P107(f316(f316(f224(x72691),x72692),x72693))
% 163.96/163.65 [7272]E(x72721,f2(a898))+P107(f316(f316(f225(a898),f435(x72721,x72723,x72722)),x72721))+P107(f316(x72722,f316(f316(f29(a898),x72723),x72721)))
% 163.96/163.65 [7301]P107(f316(f316(f225(a898),f316(f179(f899(x73011)),x73012)),f775(x73013,x73011)))+~P107(f316(f54(f899(x73011)),x73013))+~P107(f316(f316(f318(f899(x73011)),x73012),x73013))
% 163.96/163.65 [7307]E(x73071,x73072)+~P107(f316(f316(f224(f905(x73073,a895)),x73071),x73072))+P107(f316(f316(f225(f905(x73073,a895)),x73071),x73072))
% 163.96/163.65 [7320]E(x73201,x73202)+~E(f316(f179(f899(x73203)),x73201),f316(f179(f899(x73203)),x73202))+P107(f316(f316(f225(a898),f643(x73203,x73201,x73202)),f316(f179(f899(x73203)),x73202)))
% 163.96/163.65 [7369]P5(x73691,x73692,x73693)+~E(f316(f253(x73691,x73691),x73693),x73692)+~E(f316(f316(f278(x73691,x73691,x73691),f316(f275(x73691,x73691),x73693)),x73693),x73693)
% 163.96/163.65 [7448]~P107(f316(x74481,f2(a898)))+P107(f316(f316(f225(a898),f435(x74483,x74482,x74481)),x74483))+P107(f316(x74481,f316(f316(f29(a898),x74482),x74483)))
% 163.96/163.65 [7458]~P108(x74581)+E(f316(f316(f100(f905(x74581,a895)),f295(x74581,x74582,x74583)),f316(f316(f298(x74581),x74583),f178(f905(x74581,a895)))),f294(x74581,x74582,x74583))+~P107(f316(f316(f225(x74581),x74582),x74583))
% 163.96/163.65 [7550]~P107(f316(f54(x75501),x75503))+P107(f316(f316(f224(a898),f316(f28(x75501),x75502)),f316(f28(x75501),x75503)))+~P107(f316(f316(f224(f905(x75501,a895)),x75502),x75503))
% 163.96/163.65 [7551]~P107(f316(f54(x75511),x75513))+P107(f316(f316(f225(a898),f316(f28(x75511),x75512)),f316(f28(x75511),x75513)))+~P107(f316(f316(f225(f905(x75511,a895)),x75512),x75513))
% 163.96/163.65 [7683]E(x76831,x76832)+~P107(f316(f316(f224(f905(x76833,a895)),x76832),x76831))+~P107(f316(f316(f224(f905(x76833,a895)),x76831),x76832))
% 163.96/163.65 [7686]~P108(x76861)+P10(x76861,x76862)+~P10(x76861,f316(f316(f138(x76861,x76861,f5(x76861)),x76863),x76862))
% 163.96/163.65 [7757]~P107(f316(f316(f225(a898),x77573),x77572))+~P107(f316(f316(f225(a898),x77573),x77571))+P107(f316(f316(f225(a898),f316(f316(f23(a898),x77571),x77572)),f316(f316(f23(a898),x77571),x77573)))
% 163.96/163.65 [7758]~P107(f316(f316(f224(a898),x77582),x77581))+~P107(f316(f316(f225(a898),x77581),x77583))+P107(f316(f316(f225(a898),f316(f316(f23(a898),x77581),x77582)),f316(f316(f23(a898),x77583),x77582)))
% 163.96/163.65 [7773]~P107(f316(f316(f225(a1),x77732),f2(a1)))+~P107(f316(f316(f224(a1),x77733),x77731))+P107(f316(f316(f224(a1),f316(f316(f29(a1),x77731),x77732)),f316(f316(f29(a1),x77733),x77732)))
% 163.96/163.65 [7790]~P107(f316(f316(f225(a898),f2(a898)),x77903))+~P107(f316(f316(f224(a898),x77903),x77902))+P107(f316(f316(f224(a898),f316(f316(f29(a898),x77901),x77902)),f316(f316(f29(a898),x77901),x77903)))
% 163.96/163.65 [7791]~P107(f316(f316(f225(a1),f2(a1)),x77912))+~P107(f316(f316(f224(a1),x77911),x77913))+P107(f316(f316(f224(a1),f316(f316(f29(a1),x77911),x77912)),f316(f316(f29(a1),x77913),x77912)))
% 163.96/163.65 [7795]~P107(f316(f316(f225(a898),f2(a898)),x77952))+~P107(f316(f316(f225(a898),x77951),x77953))+P107(f316(f316(f225(a898),f316(f316(f75(a898),x77951),x77952)),f316(f316(f75(a898),x77953),x77952)))
% 163.96/163.65 [7796]~P107(f316(f316(f225(a898),f2(a898)),x77961))+~P107(f316(f316(f225(a898),x77962),x77963))+P107(f316(f316(f225(a898),f316(f316(f75(a898),x77961),x77962)),f316(f316(f75(a898),x77961),x77963)))
% 163.96/163.65 [7797]~P107(f316(f316(f225(a1),f2(a1)),x77971))+~P107(f316(f316(f225(a1),x77972),x77973))+P107(f316(f316(f225(a1),f316(f316(f75(a1),x77971),x77972)),f316(f316(f75(a1),x77971),x77973)))
% 163.96/163.65 [7798]~P107(f316(f316(f225(a898),f2(a898)),x77981))+~P107(f316(f316(f276(a898),x77982),x77983))+P107(f316(f316(f276(a898),f316(f316(f75(a898),x77981),x77982)),f316(f316(f75(a898),x77981),x77983)))
% 163.96/163.65 [7846]E(x78461,f2(a898))+E(f316(f316(f74(a898),f316(f316(f75(a898),x78461),f429(x78461,x78462,x78463))),f435(x78461,x78462,x78463)),x78462)+P107(f316(x78463,f316(f316(f29(a898),x78462),x78461)))
% 163.96/163.65 [7905]E(f316(f316(f74(a898),f316(f316(f75(a898),x79051),f429(x79051,x79052,x79053))),f435(x79051,x79052,x79053)),x79052)+~P107(f316(x79053,f2(a898)))+P107(f316(x79053,f316(f316(f29(a898),x79052),x79051)))
% 163.96/163.65 [7924]~P107(f316(f54(x79241),x79243))+P107(f316(f316(f318(x79241),f455(x79242,x79243,x79241)),x79243))+P107(f316(f316(f225(a898),f2(a898)),f316(f316(f9(x79241,a898),x79242),x79243)))
% 163.96/163.65 [7925]~P107(f316(f54(x79251),x79253))+P107(f316(f316(f318(x79251),f555(x79252,x79253,x79251)),x79253))+P107(f316(f316(f225(a898),f2(a898)),f316(f316(f9(x79251,a898),x79252),x79253)))
% 163.96/163.65 [8217]E(x82171,f178(f905(x82172,a895)))+E(x82171,f316(f316(f298(x82172),x82173),f178(f905(x82172,a895))))+~P107(f316(f316(f224(f905(x82172,a895)),x82171),f316(f316(f298(x82172),x82173),f178(f905(x82172,a895)))))
% 163.96/163.65 [8252]~P107(f316(f316(f225(a898),f72(a898)),x82523))+P107(f316(f316(f224(a898),x82521),x82522))+~P107(f316(f316(f276(a898),f316(f316(f233(a898),x82523),x82521)),f316(f316(f233(a898),x82523),x82522)))
% 163.96/163.65 [8254]~P107(f316(f316(f225(a898),f2(a898)),x82543))+P107(f316(f316(f224(a898),x82541),x82542))+~P107(f316(f316(f224(a898),f316(f316(f75(a898),x82543),x82541)),f316(f316(f75(a898),x82543),x82542)))
% 163.96/163.65 [8255]~P107(f316(f316(f225(a898),f2(a898)),x82553))+P107(f316(f316(f224(a898),x82551),x82552))+~P107(f316(f316(f224(a898),f316(f316(f75(a898),x82551),x82553)),f316(f316(f75(a898),x82552),x82553)))
% 163.96/163.65 [8257]~P107(f316(f316(f225(a898),f2(a898)),x82573))+P107(f316(f316(f225(a898),x82571),x82572))+~P107(f316(f316(f225(a898),f316(f316(f233(a898),x82573),x82571)),f316(f316(f233(a898),x82573),x82572)))
% 163.96/163.65 [8259]~P107(f316(f316(f225(a898),f2(a898)),x82593))+P107(f316(f316(f276(a898),x82591),x82592))+~P107(f316(f316(f276(a898),f316(f316(f75(a898),x82593),x82591)),f316(f316(f75(a898),x82593),x82592)))
% 163.96/163.65 [8298]~E(f316(f316(f91(f905(x82981,a895)),f859(x82983,x82982,x82981)),f858(x82983,x82982,x82981)),f178(f905(x82981,a895)))+E(f316(f316(f91(f905(x82981,a895)),x82982),f30(f905(x82981,a895),x82983)),f178(f905(x82981,a895)))+P107(f316(f316(f318(f905(x82981,a895)),x82982),x82983))
% 163.96/163.65 [8312]E(x83121,f103(x83122))+~E(f316(f132(f899(x83122),f899(x83122),f124(x83122),f103(x83122)),x83123),f103(x83122))+~P107(f316(f316(f318(f899(x83122)),x83121),f316(f162(f899(x83122)),x83123)))
% 163.96/163.65 [8367]E(x83671,f178(f905(f905(x83672,a895),a895)))+P107(f316(f316(f318(f905(x83672,a895)),f340(x83673,x83671,x83672)),x83671))+P107(f316(f316(f224(f905(x83672,a895)),f31(f905(x83672,a895),x83671)),x83673))
% 163.96/163.65 [8373]~P72(x83731)+~P76(x83731)+E(f316(f316(f9(a1,x83731),f316(f316(f8(a898,x83731,a1),x83732),a94)),f316(f299(a898,a1,f90(a1)),x83733)),f316(f316(f9(a898,x83731),x83732),x83733))
% 163.96/163.65 [8374]~P72(x83741)+~P76(x83741)+E(f316(f316(f6(a1,x83741),f316(f316(f8(a898,x83741,a1),x83742),a94)),f316(f299(a898,a1,f90(a1)),x83743)),f316(f316(f6(a898,x83741),x83742),x83743))
% 163.96/163.65 [8417]~P107(f316(f54(x84171),x84173))+~P107(f316(f316(f225(a898),f2(a898)),f316(x84172,f455(x84172,x84173,x84171))))+P107(f316(f316(f225(a898),f2(a898)),f316(f316(f9(x84171,a898),x84172),x84173)))
% 163.96/163.65 [8418]~P107(f316(f54(x84181),x84183))+~P107(f316(f316(f225(a898),f2(a898)),f316(x84182,f555(x84182,x84183,x84181))))+P107(f316(f316(f225(a898),f2(a898)),f316(f316(f9(x84181,a898),x84182),x84183)))
% 163.96/163.65 [8454]~P66(x84542)+E(x84541,f72(x84542))+E(f316(f316(f280(x84542),f316(f316(f23(x84542),f316(f316(f233(x84542),x84541),x84543)),f72(x84542))),f316(f316(f23(x84542),x84541),f72(x84542))),f316(f316(f6(a898,x84542),f316(f233(x84542),x84541)),f316(f291(a898,f2(a898)),x84543)))
% 163.96/163.65 [8512]E(x85121,f2(a898))+~P107(f316(x85123,f316(f316(f29(a898),x85122),x85121)))+P107(f316(f316(f225(a898),x85122),f316(f316(f75(a898),x85121),f316(a102,f434(x85121,x85122,x85123)))))
% 163.96/163.65 [8530]P107(f316(x85301,f2(a898)))+~P107(f316(x85301,f316(f316(f29(a898),x85302),x85303)))+P107(f316(f316(f225(a898),x85302),f316(f316(f75(a898),x85303),f316(a102,f434(x85303,x85302,x85301)))))
% 163.96/163.65 [8568]E(x85681,f2(a898))+~P107(f316(x85683,f316(f316(f29(a898),x85682),x85681)))+P107(f316(f316(f224(a898),f316(f316(f75(a898),x85681),f434(x85681,x85682,x85683))),x85682))
% 163.96/163.65 [8599]P107(f316(x85991,f2(a898)))+~P107(f316(x85991,f316(f316(f29(a898),x85993),x85992)))+P107(f316(f316(f224(a898),f316(f316(f75(a898),x85992),f434(x85992,x85993,x85991))),x85993))
% 163.96/163.65 [8607]~P108(x86071)+E(f316(f316(f138(x86071,x86071,f5(x86071)),x86072),x86073),f139(x86071,x86071,f5(x86071),x86072,x86073))+P107(f316(f316(f318(x86071),x86072),f316(f162(x86071),x86073)))
% 163.96/163.65 [8641]~E(f316(x86413,f890(x86412,x86413,x86411)),f316(x86413,f892(x86412,x86413,x86411)))+~P58(x86411,f316(x86413,f891(x86412,x86413,x86411)))+P58(x86411,f316(f316(f33(x86412,f905(x86411,f905(x86411,a895))),f231(f905(x86412,a895))),x86413))
% 163.96/163.65 [8650]E(x86501,f178(f905(f905(x86502,a895),a895)))+~P107(f316(f316(f224(f905(x86502,a895)),f340(x86503,x86501,x86502)),x86503))+P107(f316(f316(f224(f905(x86502,a895)),f31(f905(x86502,a895),x86501)),x86503))
% 163.96/163.65 [8712]~P68(x87121)+~P107(f316(f316(f225(x87121),x87122),x87123))+P107(f316(f316(f225(x87121),x87122),f316(f316(f280(x87121),f316(f316(f74(x87121),x87122),x87123)),f316(f316(f74(x87121),f72(x87121)),f72(x87121)))))
% 163.96/163.65 [8772]~P107(f316(f316(x87721,f449(x87721,x87723,x87722)),f450(x87721,x87723,x87722)))+P107(f316(f316(x87721,x87722),x87723))+~P107(f316(f304(f904(a1,a1),a211),f316(f316(f241(a1,a1),x87722),x87723)))
% 163.96/163.65 [8773]~P107(f316(f316(x87731,f451(x87731,x87733,x87732)),f452(x87731,x87733,x87732)))+P107(f316(f316(x87731,x87732),x87733))+~P107(f316(f304(f904(a1,a1),a51),f316(f316(f241(a1,a1),x87732),x87733)))
% 163.96/163.65 [8774]~P107(f316(f316(x87741,f453(x87741,x87743,x87742)),f454(x87741,x87743,x87742)))+P107(f316(f316(x87741,x87742),x87743))+~P107(f316(f304(f904(a1,a1),a45),f316(f316(f241(a1,a1),x87742),x87743)))
% 163.96/163.65 [8775]~P107(f316(f316(x87751,f549(x87751,x87753,x87752)),f551(x87751,x87753,x87752)))+P107(f316(f316(x87751,x87752),x87753))+~P107(f316(f304(f904(a898,a898),a209),f316(f316(f241(a898,a898),x87752),x87753)))
% 163.96/163.65 [8776]~P107(f316(f316(x87761,f670(x87761,x87763,x87762)),f672(x87761,x87763,x87762)))+P107(f316(f316(x87761,x87762),x87763))+~P107(f316(f304(f904(a1,a1),a172),f316(f316(f241(a1,a1),x87762),x87763)))
% 163.96/163.65 [8777]~P107(f316(f316(x87771,f766(x87771,x87773,x87772)),f767(x87771,x87773,x87772)))+P107(f316(f316(x87771,x87772),x87773))+~P107(f316(f304(f904(a1,a1),a123),f316(f316(f241(a1,a1),x87772),x87773)))
% 163.96/163.65 [9053]P107(f316(f316(x90531,x90532),x90533))+P107(f316(f304(f904(a898,a898),a209),f316(f316(f241(a898,a898),f549(x90531,x90533,x90532)),f551(x90531,x90533,x90532))))+~P107(f316(f304(f904(a898,a898),a209),f316(f316(f241(a898,a898),x90532),x90533)))
% 163.96/163.65 [9054]P107(f316(f316(x90541,x90542),x90543))+P107(f316(f304(f904(a1,a1),a211),f316(f316(f241(a1,a1),f449(x90541,x90543,x90542)),f450(x90541,x90543,x90542))))+~P107(f316(f304(f904(a1,a1),a211),f316(f316(f241(a1,a1),x90542),x90543)))
% 163.96/163.65 [9055]P107(f316(f316(x90551,x90552),x90553))+P107(f316(f304(f904(a1,a1),a51),f316(f316(f241(a1,a1),f451(x90551,x90553,x90552)),f452(x90551,x90553,x90552))))+~P107(f316(f304(f904(a1,a1),a51),f316(f316(f241(a1,a1),x90552),x90553)))
% 163.96/163.65 [9056]P107(f316(f316(x90561,x90562),x90563))+P107(f316(f304(f904(a1,a1),a45),f316(f316(f241(a1,a1),f453(x90561,x90563,x90562)),f454(x90561,x90563,x90562))))+~P107(f316(f304(f904(a1,a1),a45),f316(f316(f241(a1,a1),x90562),x90563)))
% 163.96/163.65 [9057]P107(f316(f316(x90571,x90572),x90573))+P107(f316(f304(f904(a1,a1),a172),f316(f316(f241(a1,a1),f670(x90571,x90573,x90572)),f672(x90571,x90573,x90572))))+~P107(f316(f304(f904(a1,a1),a172),f316(f316(f241(a1,a1),x90572),x90573)))
% 163.96/163.65 [9058]P107(f316(f316(x90581,x90582),x90583))+P107(f316(f304(f904(a1,a1),a123),f316(f316(f241(a1,a1),f766(x90581,x90583,x90582)),f767(x90581,x90583,x90582))))+~P107(f316(f304(f904(a1,a1),a123),f316(f316(f241(a1,a1),x90582),x90583)))
% 163.96/163.65 [9393]~P107(f316(f54(x93931),x93933))+P107(f316(f316(f318(f904(f905(x93931,a895),f905(x93931,a895))),f316(f316(f241(f905(x93931,a895),f905(x93931,a895)),x93932),x93933)),f303(x93931)))+~P107(f316(f316(f225(f905(x93931,a895)),x93932),x93933))
% 163.96/163.65 [9468]~P58(x94681,f316(x94683,f891(x94682,x94683,x94681)))+P58(x94681,f316(f316(f33(x94682,f905(x94681,f905(x94681,a895))),f231(f905(x94682,a895))),x94683))+~E(f316(f316(f91(f905(x94681,a895)),f238(x94681,x94681,f316(x94683,f890(x94682,x94683,x94681)))),f239(x94681,x94681,f316(x94683,f892(x94682,x94683,x94681)))),f178(f905(x94681,a895)))
% 163.96/163.65 [9676]P52(x96761,x96762,x96763)+P107(f316(f316(f318(f904(x96761,x96761)),f566(x96763,x96762,x96761)),x96763))+~P107(f316(f316(f318(f904(x96761,x96761)),f316(f316(f241(x96761,x96761),f565(x96763,x96762,x96761)),f565(x96763,x96762,x96761))),x96763))
% 163.96/163.65 [10272]P52(x102721,x102722,x102723)+~P107(f316(f316(f246(x102721,x102721,a895),f316(f316(f7(x102721,f905(x102721,a895),f905(x102721,a895)),f316(f316(f8(f905(a895,a895),f905(f905(x102721,a895),f905(x102721,a895)),x102721),f8(a895,a895,x102721)),f316(f316(f8(a895,f905(a895,a895),x102721),a314),f316(f316(f7(x102721,f905(x102721,a895),a895),f318(x102721)),x102722)))),f316(f316(f7(x102721,f905(x102721,a895),a895),f318(x102721)),x102722))),f566(x102723,x102722,x102721)))+~P107(f316(f316(f318(f904(x102721,x102721)),f316(f316(f241(x102721,x102721),f565(x102723,x102722,x102721)),f565(x102723,x102722,x102721))),x102723))
% 163.96/163.65 [5742]~P62(x57422)+E(x57421,f2(x57422))+E(f316(f316(f29(x57422),f316(f316(f75(x57422),x57423),x57421)),x57421),x57423)
% 163.96/163.65 [5743]~P62(x57432)+E(x57431,f2(x57432))+E(f316(f316(f29(x57432),f316(f316(f75(x57432),x57431),x57433)),x57431),x57433)
% 163.96/163.65 [6403]~P62(x64031)+E(f316(f316(f75(x64031),f316(f316(f29(x64031),x64032),x64033)),x64033),x64032)+~P107(f316(f316(f276(x64031),x64033),x64032))
% 163.96/163.65 [6567]~P76(x65671)+~E(f316(x65672,f2(a898)),f2(x65671))+E(f316(f316(f6(a898,x65671),x65672),f316(f291(a898,f316(a102,f2(a898))),x65673)),f316(f316(f6(a898,x65671),x65672),f316(f291(a898,f2(a898)),x65673)))
% 163.96/163.65 [6704]~P62(x67042)+E(x67041,f2(x67042))+E(f316(f316(f29(x67042),f316(f316(f74(x67042),x67043),x67041)),x67041),f316(f316(f74(x67042),f316(f316(f29(x67042),x67043),x67041)),f72(x67042)))
% 163.96/163.65 [6705]~P62(x67052)+E(x67051,f2(x67052))+E(f316(f316(f29(x67052),f316(f316(f74(x67052),x67051),x67053)),x67051),f316(f316(f74(x67052),f316(f316(f29(x67052),x67053),x67051)),f72(x67052)))
% 163.96/163.65 [6930]~P107(f316(x69303,f2(a1)))+P107(f316(f316(f224(a898),x69301),x69302))+P107(f316(x69303,f316(f90(a1),f316(f316(f23(a898),x69302),x69301))))
% 163.96/163.65 [7033]P107(f316(f316(f225(a898),x70332),x70331))+P107(f316(f316(f224(a898),x70331),x70332))+P107(f316(x70333,f316(f90(a1),f316(f316(f23(a898),x70332),x70331))))
% 163.96/163.65 [7108]E(f316(f316(f74(a898),f316(f93(a898),x71081)),f316(f316(f74(a898),f316(f93(a898),x71082)),x71083)),f316(f316(f74(a898),f316(f93(a898),x71081)),x71083))+P107(f316(a183,f316(f93(a1),x71081)))+~P107(f316(a183,f316(f93(a1),x71082)))
% 163.96/163.65 [7188]~E(x71882,f316(f316(f29(a898),x71883),x71881))+~P107(f316(f316(f225(a898),f2(a898)),x71881))+P107(f316(f316(f224(a898),f316(f316(f75(a898),x71881),x71882)),x71883))
% 163.96/163.65 [7305]~P107(f316(f54(x73051),x73053))+~P107(f316(f54(x73051),x73052))+P107(f316(f54(x73051),f316(f316(f100(f905(x73051,a895)),x73052),x73053)))
% 163.96/163.65 [7354]~P37(x73541,x73543)+~P37(x73541,x73542)+P37(x73541,f316(f316(f91(f905(f904(x73541,x73541),a895)),x73542),x73543))
% 163.96/163.65 [7355]~P50(x73551,x73553)+~P50(x73551,x73552)+P50(x73551,f316(f316(f100(f905(f904(x73551,x73551),a895)),x73552),x73553))
% 163.96/163.65 [7356]~P50(x73561,x73563)+~P50(x73561,x73562)+P50(x73561,f316(f316(f91(f905(f904(x73561,x73561),a895)),x73562),x73563))
% 163.96/163.65 [7599]~P108(x75991)+~P107(f316(f54(x75991),x75992))+E(f129(x75991,f316(f316(f23(f905(x75991,a895)),x75992),f316(f316(f298(x75991),x75993),f178(f905(x75991,a895))))),f160(x75991,x75993,f129(x75991,x75992)))
% 163.96/163.65 [7662]P107(f316(x76621,f2(a1)))+~P107(f316(f316(f225(a898),x76622),x76623))+~P107(f316(x76621,f316(f90(a1),f316(f316(f23(a898),x76622),x76623))))
% 163.96/163.65 [7680]~P107(f316(f54(x76801),x76802))+E(f316(f28(x76801),f316(f316(f23(f905(x76801,a895)),x76802),f316(f316(f298(x76801),x76803),f178(f905(x76801,a895))))),f316(f28(x76801),x76802))+P107(f316(f316(f318(x76801),x76803),x76802))
% 163.96/163.65 [7813]~P126(x78131)+~P107(f316(f316(f225(x78131),f72(x78131)),x78132))+P107(f316(f316(f225(x78131),f72(x78131)),f316(f316(f75(x78131),x78132),f316(f316(f233(x78131),x78132),x78133))))
% 163.96/163.65 [7856]~P107(f316(f54(x78561),x78563))+E(f316(f316(f23(a898),f316(f28(x78561),x78562)),f316(f28(x78561),x78563)),f316(f28(x78561),f316(f316(f23(f905(x78561,a895)),x78562),x78563)))+~P107(f316(f316(f224(f905(x78561,a895)),x78563),x78562))
% 163.96/163.65 [7913]~P107(f316(f316(f224(a898),x79132),x79133))+~P107(f316(f316(f224(a898),x79131),f316(f316(f23(a898),x79133),x79132)))+P107(f316(f316(f224(a898),f316(f316(f74(a898),x79131),x79132)),x79133))
% 163.96/163.65 [7970]P107(f316(f54(x79701),x79702))+~P107(f316(f54(x79701),x79703))+~P107(f316(f54(x79701),f316(f316(f23(f905(x79701,a895)),x79702),x79703)))
% 163.96/163.65 [7976]~P107(f316(f54(x79761),x79762))+E(f316(f28(x79761),f316(f316(f23(f905(x79761,a895)),x79762),f316(f316(f298(x79761),x79763),f178(f905(x79761,a895))))),f316(f316(f23(a898),f316(f28(x79761),x79762)),f72(a898)))+~P107(f316(f316(f318(x79761),x79763),x79762))
% 163.96/163.65 [8051]P58(x80511,x80512)+~P58(x80511,x80513)+~P107(f316(f316(f224(f905(x80511,f905(x80511,a895))),x80512),x80513))
% 163.96/163.65 [8092]~P107(f316(f316(f224(a898),x80923),x80922))+P107(f316(f316(f224(a898),x80921),f316(f316(f23(a898),x80922),x80923)))+~P107(f316(f316(f224(a898),f316(f316(f74(a898),x80921),x80923)),x80922))
% 163.96/163.65 [8110]P36(x81101,x81102)+~P36(x81101,x81103)+~P107(f316(f316(f224(f905(f904(x81101,x81101),a895)),x81102),x81103))
% 163.96/163.65 [8111]P56(x81111,x81112)+~P56(x81111,x81113)+~P107(f316(f316(f224(f905(f904(x81111,x81111),a895)),x81112),x81113))
% 163.96/163.65 [8112]P38(x81121,x81122)+~P38(x81121,x81123)+~P107(f316(f316(f224(f905(f904(x81121,x81121),a895)),x81122),x81123))
% 163.96/163.65 [8345]~P126(x83451)+~P107(f316(f316(f225(x83451),f72(x83451)),x83452))+P107(f316(f316(f225(x83451),f316(f316(f233(x83451),x83452),x83453)),f316(f316(f75(x83451),x83452),f316(f316(f233(x83451),x83452),x83453))))
% 163.96/163.65 [8436]~P107(f316(x84361,f2(a1)))+~P107(f316(x84361,f316(f316(f23(a1),f316(f90(a1),x84362)),f316(f90(a1),x84363))))+P107(f316(x84361,f316(f90(a1),f316(f316(f23(a898),x84362),x84363))))
% 163.96/163.65 [8451]~P107(f316(f316(f224(a898),x84513),x84512))+P107(f316(x84511,f316(f316(f23(a1),f316(f90(a1),x84512)),f316(f90(a1),x84513))))+~P107(f316(x84511,f316(f90(a1),f316(f316(f23(a898),x84512),x84513))))
% 163.96/163.65 [8471]P107(f316(f316(f225(a898),x84711),x84712))+~P107(f316(x84713,f316(f316(f23(a1),f316(f90(a1),x84711)),f316(f90(a1),x84712))))+P107(f316(x84713,f316(f90(a1),f316(f316(f23(a898),x84711),x84712))))
% 163.96/163.65 [8523]~P128(x85232)+E(x85231,f2(x85232))+P107(f316(f316(f225(x85232),f2(x85232)),f316(f316(f74(x85232),f316(f316(f75(x85232),x85233),x85233)),f316(f316(f75(x85232),x85231),x85231))))
% 163.96/163.65 [8524]~P128(x85242)+E(x85241,f2(x85242))+P107(f316(f316(f225(x85242),f2(x85242)),f316(f316(f74(x85242),f316(f316(f75(x85242),x85241),x85241)),f316(f316(f75(x85242),x85243),x85243))))
% 163.96/163.65 [8624]~P107(f316(f316(f225(a898),f2(a898)),x86241))+~P107(f316(f316(f225(a1),x86242),x86243))+P107(f316(f316(f225(a1),f316(f316(f75(a1),f316(f90(a1),x86241)),x86242)),f316(f316(f75(a1),f316(f90(a1),x86241)),x86243)))
% 163.96/163.65 [8681]E(f316(f316(f91(f905(x86811,a895)),x86812),f30(f905(x86811,a895),x86813)),f178(f905(x86811,a895)))+P107(f316(f316(f318(f905(x86811,a895)),x86812),x86813))+P107(f316(f316(f318(f905(x86811,a895)),f859(x86813,x86812,x86811)),f316(f316(f298(f905(x86811,a895)),x86812),x86813)))
% 163.96/163.65 [8682]E(f316(f316(f91(f905(x86821,a895)),x86822),f30(f905(x86821,a895),x86823)),f178(f905(x86821,a895)))+P107(f316(f316(f318(f905(x86821,a895)),x86822),x86823))+P107(f316(f316(f318(f905(x86821,a895)),f858(x86823,x86822,x86821)),f316(f316(f298(f905(x86821,a895)),x86822),x86823)))
% 163.96/163.65 [8711]E(x87111,x87112)+~E(f316(f179(f899(x87113)),x87111),f316(f179(f899(x87113)),x87112))+P107(f316(f316(f318(f904(x87113,x87113)),f656(x87113,x87111,x87112)),f316(f162(f904(x87113,x87113)),f316(f316(f171(x87113,x87113),x87112),x87111))))
% 163.96/163.65 [8964]E(f296(x89641,x89642),f296(x89641,x89643))+~P107(f316(f316(f224(f905(f904(x89641,x89641),a895)),x89643),f296(x89641,x89642)))+~P107(f316(f316(f224(f905(f904(x89641,x89641),a895)),x89642),x89643))
% 163.96/163.65 [9031]~P52(x90311,f231(f905(x90311,a895)),x90313)+P107(f316(f316(f224(f905(f904(f899(x90311),f899(x90311)),a895)),f147(x90311,x90312)),f148(x90311,x90313)))+~P107(f316(f316(f224(f905(f904(x90311,x90311),a895)),x90312),x90313))
% 163.96/163.65 [9230]P36(x92301,x92302)+~P107(f316(f316(f318(x92301),x92303),f886(x92302,x92301)))+P107(f316(f316(f318(f904(x92301,x92301)),f316(f316(f241(x92301,x92301),f889(x92302,x92301,x92303)),x92303)),x92302))
% 163.96/163.65 [9265]~P107(f316(f54(x92651),x92652))+P107(f316(f54(f905(x92651,a895)),f316(f316(f53(x92651),x92652),x92653)))+~P107(f316(f316(f224(f905(f904(x92651,x92651),a895)),x92653),f316(f316(f243(x92651,x92651),x92652),f316(f16(f905(x92651,a895),x92651),x92652))))
% 163.96/163.65 [9301]P52(x93011,x93012,x93013)+P107(f316(f316(f318(x93011),f559(x93013,x93012,x93011)),x93012))+~P107(f316(f316(f224(f905(f904(x93011,x93011),a895)),x93013),f316(f316(f243(x93011,x93011),x93012),f316(f16(f905(x93011,a895),x93011),x93012))))
% 163.96/163.65 [9302]P52(x93021,x93022,x93023)+P107(f316(f316(f318(x93021),f562(x93022,x93023,x93021)),x93022))+~P107(f316(f316(f224(f905(f904(x93021,x93021),a895)),x93023),f316(f316(f243(x93021,x93021),x93022),f316(f16(f905(x93021,a895),x93021),x93022))))
% 163.96/163.65 [9335]~P68(x93351)+~P107(f316(f316(f225(x93351),x93352),x93353))+P107(f316(f316(f225(x93351),f316(f316(f280(x93351),f316(f316(f74(x93351),x93352),x93353)),f316(f316(f74(x93351),f72(x93351)),f72(x93351)))),x93353))
% 163.96/163.65 [9366]~P67(x93661)+P107(f316(f316(f224(x93661),x93662),x93663))+~P107(f316(f316(f224(x93661),f316(f316(f75(x93661),f530(x93663,x93662,x93661)),x93662)),x93663))
% 163.96/163.65 [9503]E(f316(f179(f899(f899(x95031))),f316(f126(f899(x95031),f316(f316(f8(a898,a895,f899(x95031)),f316(f225(a898),x95032)),f179(f899(x95031)))),f169(x95031,x95033))),f316(f179(f899(x95031)),f316(f316(f154(f899(x95031)),x95033),x95032)))+~P10(a898,f316(f158(a898),f316(f316(f144(f899(x95031),a898),f179(f899(x95031))),x95033)))+~P107(f316(f316(f225(a898),x95032),f316(f179(f899(f899(x95031))),x95033)))
% 163.96/163.65 [9624]~P36(x96241,x96242)+P24(x96241,f316(f316(f241(f905(f904(x96241,x96241),a895),f905(f904(x96241,x96241),a895)),x96242),x96243))+~P107(f316(f316(f224(f905(f904(x96241,x96241),a895)),f316(f316(f278(x96241,x96241,x96241),x96242),x96243)),x96242))
% 163.96/163.65 [9629]E(f316(f316(f144(f899(x96291),x96291),f316(f316(f7(f899(x96291),a898,x96291),f154(x96291)),x96292)),f316(f126(f899(x96291),f316(f316(f8(a898,a895,f899(x96291)),f316(f225(a898),x96292)),f179(f899(x96291)))),f169(x96291,x96293))),f316(f316(f154(f899(x96291)),x96293),x96292))+~P10(a898,f316(f158(a898),f316(f316(f144(f899(x96291),a898),f179(f899(x96291))),x96293)))+~P107(f316(f316(f225(a898),x96292),f316(f179(f899(f899(x96291))),x96293)))
% 163.96/163.65 [9764]P52(x97641,x97642,x97643)+~P107(f316(f316(f318(f904(x97641,x97641)),f316(f316(f241(x97641,x97641),f559(x97643,x97642,x97641)),f559(x97643,x97642,x97641))),x97643))+~P107(f316(f316(f224(f905(f904(x97641,x97641),a895)),x97643),f316(f316(f243(x97641,x97641),x97642),f316(f16(f905(x97641,a895),x97641),x97642))))
% 163.96/163.65 [9765]P52(x97651,x97652,x97653)+~P107(f316(f316(f318(f904(x97651,x97651)),f316(f316(f241(x97651,x97651),f562(x97652,x97653,x97651)),f562(x97652,x97653,x97651))),x97653))+~P107(f316(f316(f224(f905(f904(x97651,x97651),a895)),x97653),f316(f316(f243(x97651,x97651),x97652),f316(f16(f905(x97651,a895),x97651),x97652))))
% 163.96/163.65 [9936]~P141(x99361)+~P125(x99361)+E(f316(f316(f280(x99361),f316(f92(x99361),f316(f316(f66(f904(a1,a1),a1,x99362,f240(a1,a1)),f202(x99362)),x99363))),f316(f92(x99361),f316(f316(f66(f904(a1,a1),a1,x99362,f245(a1,a1)),f202(x99362)),x99363))),f212(x99362,x99361,x99363))
% 163.96/163.65 [10142]~E(x101423,f2(a898))+~E(f316(f179(f899(x101421)),f316(f316(f154(f899(x101421)),x101422),f704(x101423,x101421,x101422))),x101423)+E(f316(f316(f144(a898,f899(x101421)),f316(f316(f7(a898,f899(a898),f899(x101421)),f316(f316(f8(f905(a898,x101421),f905(f899(a898),f899(x101421)),a898),f144(a898,x101421)),f316(f7(a898,a898,x101421),f316(f316(f8(f899(x101421),f905(a898,x101421),a898),f154(x101421)),f316(f154(f899(x101421)),x101422))))),f129(a898,f316(f291(a898,f2(a898)),f316(f179(f899(f899(x101421))),x101422))))),f129(a898,f316(f291(a898,f2(a898)),x101423))),f169(x101421,x101422))
% 163.96/163.65 [10143]E(x101431,f103(f899(x101432)))+~E(f316(f179(f899(x101432)),f316(f316(f154(f899(x101432)),x101431),f704(x101433,x101432,x101431))),x101433)+E(f316(f316(f144(a898,f899(x101432)),f316(f316(f7(a898,f899(a898),f899(x101432)),f316(f316(f8(f905(a898,x101432),f905(f899(a898),f899(x101432)),a898),f144(a898,x101432)),f316(f7(a898,a898,x101432),f316(f316(f8(f899(x101432),f905(a898,x101432),a898),f154(x101432)),f316(f154(f899(x101432)),x101431))))),f129(a898,f316(f291(a898,f2(a898)),f316(f179(f899(f899(x101432))),x101431))))),f129(a898,f316(f291(a898,f2(a898)),x101433))),f169(x101432,x101431))
% 163.96/163.65 [10144]~E(x101443,f2(a898))+E(f316(f316(f144(a898,f899(x101441)),f316(f316(f7(a898,f899(a898),f899(x101441)),f316(f316(f8(f905(a898,x101441),f905(f899(a898),f899(x101441)),a898),f144(a898,x101441)),f316(f7(a898,a898,x101441),f316(f316(f8(f899(x101441),f905(a898,x101441),a898),f154(x101441)),f316(f154(f899(x101441)),x101442))))),f129(a898,f316(f291(a898,f2(a898)),f316(f179(f899(f899(x101441))),x101442))))),f129(a898,f316(f291(a898,f2(a898)),x101443))),f169(x101441,x101442))+P107(f316(f316(f225(a898),f704(x101443,x101441,x101442)),f316(f179(f899(f899(x101441))),x101442)))
% 163.96/163.65 [10145]E(x101451,f103(f899(x101452)))+E(f316(f316(f144(a898,f899(x101452)),f316(f316(f7(a898,f899(a898),f899(x101452)),f316(f316(f8(f905(a898,x101452),f905(f899(a898),f899(x101452)),a898),f144(a898,x101452)),f316(f7(a898,a898,x101452),f316(f316(f8(f899(x101452),f905(a898,x101452),a898),f154(x101452)),f316(f154(f899(x101452)),x101451))))),f129(a898,f316(f291(a898,f2(a898)),f316(f179(f899(f899(x101452))),x101451))))),f129(a898,f316(f291(a898,f2(a898)),x101453))),f169(x101452,x101451))+P107(f316(f316(f225(a898),f704(x101453,x101452,x101451)),f316(f179(f899(f899(x101452))),x101451)))
% 163.96/163.65 [7853]E(f316(f316(f74(a898),f316(f93(a898),x78531)),f316(f316(f74(a898),f316(f93(a898),x78532)),x78533)),f316(f316(f74(a898),f316(f93(a898),f316(f316(f74(a1),x78531),x78532))),x78533))+P107(f316(a183,f316(f93(a1),x78531)))+P107(f316(a183,f316(f93(a1),x78532)))
% 163.96/163.65 [8616]~P107(f316(f54(x86161),x86162))+~P107(f316(f316(f318(x86161),x86163),x86162))+E(f316(a102,f316(f28(x86161),f316(f316(f23(f905(x86161,a895)),x86162),f316(f316(f298(x86161),x86163),f178(f905(x86161,a895)))))),f316(f28(x86161),x86162))
% 163.96/163.65 [8631]~P107(f316(f54(x86311),x86312))+~P107(f316(f316(f318(x86311),x86313),x86312))+E(f316(f316(f74(a898),f72(a898)),f316(f28(x86311),f316(f316(f23(f905(x86311,a895)),x86312),f316(f316(f298(x86311),x86313),f178(f905(x86311,a895)))))),f316(f28(x86311),x86312))
% 163.96/163.65 [8721]~P108(x87211)+~P107(f316(f54(x87211),x87213))+E(f316(f316(f138(x87211,x87211,f5(x87211)),x87212),f129(x87211,f316(f316(f23(f905(x87211,a895)),x87213),f316(f316(f298(x87211),x87212),f178(f905(x87211,a895)))))),f129(x87211,f316(f316(f298(x87211),x87212),x87213)))
% 163.96/163.65 [8889]~P107(f316(f54(x88891),x88893))+~P107(f316(f54(x88891),x88892))+E(f316(f316(f74(a898),f316(f28(x88891),f316(f316(f100(f905(x88891,a895)),x88892),x88893))),f316(f28(x88891),f316(f316(f91(f905(x88891,a895)),x88892),x88893))),f316(f316(f74(a898),f316(f28(x88891),x88892)),f316(f28(x88891),x88893)))
% 163.96/163.65 [10091]~P22(x100911,f905(f905(x100911,a895),a895),f316(f316(f7(x100911,f905(f904(x100911,x100911),a895),f905(f905(x100911,a895),a895)),f316(f316(f8(f905(x100911,a895),f905(f905(f904(x100911,x100911),a895),f905(f905(x100911,a895),a895)),x100911),f53(x100911)),f316(f316(f7(x100911,f905(x100911,a895),f905(x100911,a895)),f298(x100911)),f178(f905(x100911,a895))))),x100913),x100912)+~P107(f316(f54(x100911),x100912))+E(f316(f28(f905(x100911,a895)),f316(f316(f53(x100911),x100912),x100913)),f316(f28(x100911),x100912))
% 163.96/163.65 [8124]~P98(x81241)+P107(f316(f316(f224(a1),f2(a1)),f316(f93(a1),x81243)))+E(f316(f316(f233(x81241),x81242),f316(f93(a898),f316(f316(f23(a1),f316(f316(f74(a1),x81243),x81243)),a87))),f72(x81241))
% 163.96/163.65 [9606]~P98(x96061)+~P107(f316(f316(f224(a1),f2(a1)),f316(f93(a1),x96063)))+E(f316(f316(f233(x96061),x96062),f316(f93(a898),f316(f316(f23(a1),f316(f316(f74(a1),x96063),x96063)),a87))),f316(f316(f80(x96061,x96061),f316(f316(f233(x96061),x96062),f316(f93(a898),x96063))),f316(f316(f18(x96061,x96061,x96061),f316(f316(f8(x96061,f905(x96061,x96061),x96061),f75(x96061)),f316(f75(x96061),x96062))),f5(x96061))))
% 163.96/163.65 [9999]~P107(f316(f127(x99991),x99993))+~P107(f316(f316(f318(x99991),x99992),f316(f162(x99991),x99993)))+E(f316(f316(f128(x99991),f316(f179(f899(x99991)),f167(x99991,f316(f316(f8(a895,a895,x99991),a311),f316(f316(f7(x99991,x99991,a895),a313),x99992)),f316(f158(x99991),x99993)))),f316(f158(x99991),x99993)),f316(f316(f141(x99991),x99992),f316(f158(x99991),f167(x99991,f316(f316(f8(a895,a895,x99991),a311),f316(f316(f7(x99991,x99991,a895),a313),x99992)),x99993))))
% 163.96/163.65 [10059]P107(f316(f316(f224(f905(f904(x100591,x100591),a895)),f296(x100591,x100592)),x100593))+~P107(f316(f316(f224(f905(f904(x100591,x100591),a895)),f296(x100591,f178(f905(f904(x100591,x100591),a895)))),x100593))+~P107(f316(f316(f224(f905(f904(x100591,x100591),a895)),f316(f316(f278(x100591,x100591,x100591),f316(f316(f91(f905(f904(x100591,x100591),a895)),f296(x100591,x100592)),x100593)),x100592)),x100593))
% 163.96/163.65 [9916]~P107(f316(f54(x99161),f316(f251(x99161),x99163)))+~P107(f316(f54(x99161),f316(f251(x99161),x99162)))+P107(f316(f54(x99161),f316(f251(x99161),f316(f316(f18(x99161,a895,a895),f316(f316(f8(a895,f905(a895,a895),x99161),a315),x99162)),x99163))))
% 163.96/163.65 [10207]P107(f316(f316(f224(f905(f904(x102071,x102071),a895)),f316(f316(f278(x102071,x102071,x102071),x102072),f296(x102071,x102072))),x102073))+~P107(f316(f316(f224(f905(f904(x102071,x102071),a895)),x102072),x102073))+~P107(f316(f316(f224(f905(f904(x102071,x102071),a895)),f316(f316(f278(x102071,x102071,x102071),f316(f316(f91(f905(f904(x102071,x102071),a895)),f316(f316(f278(x102071,x102071,x102071),x102072),f296(x102071,x102072))),x102073)),x102072)),x102073))
% 163.96/163.65 [10158]~P123(x101582)+E(x101581,f2(x101582))+~E(f316(f316(f74(x101582),f316(f316(f233(x101582),x101583),f316(f93(a898),f316(f316(f74(a1),f316(f316(f23(a1),f316(f316(f74(a1),a77),a77)),a87)),f316(f316(f23(a1),f316(f316(f74(a1),a77),a77)),a87))))),f316(f316(f233(x101582),x101581),f316(f93(a898),f316(f316(f74(a1),f316(f316(f23(a1),f316(f316(f74(a1),a77),a77)),a87)),f316(f316(f23(a1),f316(f316(f74(a1),a77),a77)),a87))))),f2(x101582))
% 163.96/163.65 [10159]~P123(x101592)+E(x101591,f2(x101592))+~E(f316(f316(f74(x101592),f316(f316(f233(x101592),x101591),f316(f93(a898),f316(f316(f74(a1),f316(f316(f23(a1),f316(f316(f74(a1),a77),a77)),a87)),f316(f316(f23(a1),f316(f316(f74(a1),a77),a77)),a87))))),f316(f316(f233(x101592),x101593),f316(f93(a898),f316(f316(f74(a1),f316(f316(f23(a1),f316(f316(f74(a1),a77),a77)),a87)),f316(f316(f23(a1),f316(f316(f74(a1),a77),a77)),a87))))),f2(x101592))
% 163.96/163.65 [10164]~P107(f316(f127(x101641),x101643))+~P107(f316(f316(f318(x101641),x101642),f316(f162(x101641),x101643)))+E(f316(f158(x101641),f316(f161(x101641),f316(f316(f128(x101641),f316(f179(f899(x101641)),f167(x101641,f316(f316(f8(a895,a895,x101641),a311),f316(f316(f7(x101641,x101641,a895),a313),x101642)),x101643))),x101643))),f167(x101641,f316(f316(f8(a895,a895,x101641),a311),f316(f316(f7(x101641,x101641,a895),a313),x101642)),f316(f158(x101641),x101643)))
% 163.96/163.65 [10252]~P123(x102522)+E(x102521,f2(x102522))+P107(f316(f316(f225(x102522),f2(x102522)),f316(f316(f74(x102522),f316(f316(f233(x102522),x102523),f316(f93(a898),f316(f316(f74(a1),f316(f316(f23(a1),f316(f316(f74(a1),a77),a77)),a87)),f316(f316(f23(a1),f316(f316(f74(a1),a77),a77)),a87))))),f316(f316(f233(x102522),x102521),f316(f93(a898),f316(f316(f74(a1),f316(f316(f23(a1),f316(f316(f74(a1),a77),a77)),a87)),f316(f316(f23(a1),f316(f316(f74(a1),a77),a77)),a87)))))))
% 163.96/163.65 [10253]~P123(x102532)+E(x102531,f2(x102532))+P107(f316(f316(f225(x102532),f2(x102532)),f316(f316(f74(x102532),f316(f316(f233(x102532),x102531),f316(f93(a898),f316(f316(f74(a1),f316(f316(f23(a1),f316(f316(f74(a1),a77),a77)),a87)),f316(f316(f23(a1),f316(f316(f74(a1),a77),a77)),a87))))),f316(f316(f233(x102532),x102533),f316(f93(a898),f316(f316(f74(a1),f316(f316(f23(a1),f316(f316(f74(a1),a77),a77)),a87)),f316(f316(f23(a1),f316(f316(f74(a1),a77),a77)),a87)))))))
% 163.96/163.65 [10315]~P123(x103151)+P107(f316(f316(f224(x103151),f2(x103151)),x103152))+~P107(f316(f316(f224(x103151),f2(x103151)),f316(f316(f233(x103151),x103152),f316(a102,f316(f316(f75(a898),f316(f93(a898),f316(f316(f74(a1),f316(f316(f23(a1),f316(f316(f74(a1),a77),a77)),a87)),f316(f316(f23(a1),f316(f316(f74(a1),a77),a77)),a87)))),x103153)))))
% 163.96/163.65 [5574]~P21(x55741,x55744,x55743)+P21(x55741,x55742,x55743)+~P21(x55741,x55742,x55744)
% 163.96/163.65 [5041]~E(x50412,f84(x50413,x50411))+P107(f316(x50411,x50412))+~P107(f316(x50411,x50414))
% 163.96/163.65 [5287]E(f61(x52873,x52872,x52874),x52872)+E(x52871,f730(x52872,x52873,x52874))+~P107(f316(x52874,x52871))
% 163.96/163.65 [6626]E(f61(x66261,x66262,x66263),f79(x66261,x66263))+~E(f771(x66262,x66261,x66263,x66264),x66264)+~P107(f316(x66263,x66264))
% 163.96/163.65 [6840]~P36(x68402,x68404)+~P36(x68401,x68403)+P36(f904(x68401,x68402),f308(x68401,x68402,x68403,x68404))
% 163.96/163.65 [6841]~P37(x68412,x68414)+~P37(x68411,x68413)+P37(f904(x68411,x68412),f308(x68411,x68412,x68413,x68414))
% 163.96/163.65 [5227]~P4(x52274,x52271)+~E(f316(x52271,x52272),f316(x52271,x52273))+P107(f316(f316(x52271,x52272),x52273))
% 163.96/163.65 [5386]~P4(x53864,x53861)+E(f316(x53861,x53862),f316(x53861,x53863))+~P107(f316(f316(x53861,x53862),x53863))
% 163.96/163.65 [5387]~P12(x53874,x53871)+E(f316(x53871,x53872),f316(x53871,x53873))+~P107(f316(f316(x53871,x53872),x53873))
% 163.96/163.65 [5480]~P15(x54803,x54804,x54801)+E(f316(x54801,x54802),f316(f56(x54803,x54804),x54802))+~P107(f316(f54(x54803),x54802))
% 163.96/163.65 [5481]~P6(x54813,x54814,x54811)+E(f316(x54811,x54812),f316(f56(x54813,x54814),x54812))+~P107(f316(f54(x54813),x54812))
% 163.96/163.65 [5609]~P4(x56094,x56091)+~P107(f316(f316(x56091,x56093),x56092))+P107(f316(f316(x56091,x56092),x56093))
% 163.96/163.65 [5610]~P49(x56104,x56101)+~P107(f316(f316(x56101,x56103),x56102))+P107(f316(f316(x56101,x56102),x56103))
% 163.96/163.65 [5611]~P12(x56114,x56111)+~P107(f316(f316(x56111,x56113),x56112))+P107(f316(f316(x56111,x56112),x56113))
% 163.96/163.65 [5612]~P12(x56123,x56121)+P107(f316(f316(x56121,x56122),x56122))+~P107(f316(f316(x56121,x56124),x56122))
% 163.96/163.65 [5613]~P12(x56133,x56131)+P107(f316(f316(x56131,x56132),x56132))+~P107(f316(f316(x56131,x56132),x56134))
% 163.96/163.65 [5683]E(x56831,x56832)+~E(f316(f240(x56833,x56834),x56831),f316(f240(x56833,x56834),x56832))+~E(f316(f245(x56833,x56834),x56831),f316(f245(x56833,x56834),x56832))
% 163.96/163.65 [5711]E(x57111,x57112)+~P107(f316(f41(x57113,x57114),x57112))+~P107(f316(f41(x57113,x57114),x57111))
% 163.96/163.65 [5912]~P76(x59122)+E(f221(x59121,x59122,x59123,x59124),f2(x59122))+P107(f316(f54(x59121),x59124))
% 163.96/163.65 [5960]~P4(x59603,x59602)+~P107(f316(x59601,x59604))+P107(f316(x59601,f815(x59601,x59602,x59603)))
% 163.96/163.65 [6056]~P107(f316(f304(x60561,x60562),x60564))+P107(f316(f304(x60561,x60562),x60563))+~P107(f316(f316(x60562,x60563),x60564))
% 163.96/163.65 [6877]~P28(x68771,x68773,x68774)+P107(f316(x68771,x68772))+~P107(f316(f316(f318(a1),x68772),f292(a1,x68773,x68774)))
% 163.96/163.65 [7069]~P4(x70691,x70693)+~P107(f316(x70692,x70694))+P107(f316(f316(f318(x70691),f815(x70692,x70693,x70691)),f259(x70691,x70693)))
% 163.96/163.65 [7965]E(x79651,f2(a898))+~P107(f316(x79652,x79653))+P107(f316(x79652,f764(x79652,x79653,x79651,x79654)))
% 163.96/163.65 [8046]~P108(x80462)+~P107(f316(f127(x80461),x80464))+P107(f316(f127(x80461),f140(x80461,x80462,x80463,x80464)))
% 163.96/163.65 [8090]E(f61(x80901,x80902,x80903),f79(x80901,x80903))+~P107(f316(x80903,x80904))+P107(f316(x80903,f771(x80902,x80901,x80903,x80904)))
% 163.96/163.65 [8272]~P107(f316(f54(x82722),x82724))+~P107(f316(f54(x82721),x82723))+P107(f316(f54(f906(x82721,x82722)),f302(x82721,x82722,x82723,x82724)))
% 163.96/163.65 [8273]~P107(f316(f127(x82732),x82734))+~P107(f316(f127(x82731),x82733))+P107(f316(f127(f904(x82731,x82732)),f52(x82731,x82732,x82733,x82734)))
% 163.96/163.65 [8276]P107(f316(f316(f318(f899(x82761)),f316(f316(f124(x82761),x82762),x82763)),f151(x82761,x82764)))+~P107(f316(f316(f318(f899(x82761)),x82763),f151(x82761,x82764)))+~P107(f316(f316(f318(f899(x82761)),x82762),f151(x82761,x82764)))
% 163.96/163.65 [8554]E(x85541,f2(a898))+P107(f316(x85542,x85543))+~P107(f316(x85542,f765(x85542,x85543,x85541,x85544)))
% 163.96/163.65 [8591]~P108(x85913)+~P107(f316(f127(x85911),f140(x85911,x85913,x85914,x85912)))+P107(f316(f127(x85911),x85912))
% 163.96/163.65 [8878]~P107(f316(f316(f318(f904(x88781,x88781)),f316(f316(f241(x88781,x88781),x88782),x88784)),f296(x88781,x88783)))+P107(f316(f316(f318(x88781),x88782),f305(x88781,x88783)))+~P107(f316(f316(f318(x88781),x88784),f305(x88781,x88783)))
% 163.96/163.65 [5211]~P72(x52112)+E(f316(f316(f9(x52111,x52112),x52113),x52114),f72(x52112))+P107(f316(f54(x52111),x52114))
% 163.96/163.65 [5214]~P76(x52142)+E(f316(f316(f6(x52141,x52142),x52143),x52144),f2(x52142))+P107(f316(f54(x52141),x52144))
% 163.96/163.65 [5349]~P73(x53493)+E(x53491,x53492)+~E(f316(f316(f74(x53493),x53494),x53491),f316(f316(f74(x53493),x53494),x53492))
% 163.96/163.65 [5350]~P74(x53503)+E(x53501,x53502)+~E(f316(f316(f74(x53503),x53504),x53501),f316(f316(f74(x53503),x53504),x53502))
% 163.96/163.65 [5352]~P73(x53523)+E(x53521,x53522)+~E(f316(f316(f74(x53523),x53521),x53524),f316(f316(f74(x53523),x53522),x53524))
% 163.96/163.65 [5447]~P119(x54471)+~E(x54473,f316(f316(f75(x54471),x54472),x54474))+P107(f316(f316(f276(x54471),x54472),x54473))
% 163.96/163.65 [5475]~P2(x54753)+E(x54751,f178(f905(x54752,a895)))+E(f316(f316(f32(x54752,x54753),x54751),f316(f16(x54753,x54752),x54754)),x54754)
% 163.96/163.65 [5476]~P2(x54763)+E(x54761,f178(f905(x54762,a895)))+E(f316(f316(f33(x54762,x54763),x54761),f316(f16(x54763,x54762),x54764)),x54764)
% 163.96/163.65 [5697]~P111(x56973)+E(x56971,x56972)+~E(f292(x56973,x56974,x56971),f316(f316(f298(x56973),x56972),f178(f905(x56973,a895))))
% 163.96/163.65 [5698]~P111(x56983)+E(x56981,x56982)+~E(f292(x56983,x56981,x56982),f316(f316(f298(x56983),x56984),f178(f905(x56983,a895))))
% 163.96/163.65 [5758]~P34(x57583,x57581,x57584)+P34(x57583,x57581,f316(f316(f141(x57583),x57582),x57584))+P107(f316(x57581,x57582))
% 163.96/163.65 [5860]~P30(x58601,x58602,x58604)+~P107(f316(x58602,x58603))+P30(x58601,x58602,f316(f316(f141(x58601),x58603),x58604))
% 163.96/163.65 [6011]P107(f316(x60111,x60112))+~P107(f316(f237(x60113,x60111),x60114))+~P107(f316(f316(f318(x60113),x60112),x60114))
% 163.96/163.65 [6020]~P30(x60201,x60202,x60204)+~P30(x60201,x60202,x60203)+P30(x60201,x60202,f316(f316(f124(x60201),x60203),x60204))
% 163.96/163.65 [6035]P32(x60351,x60352,x60353)+~P32(x60351,x60352,f316(f316(f141(x60351),x60354),x60353))+P107(f316(x60352,x60354))
% 163.96/163.65 [6036]P34(x60361,x60362,x60363)+~P34(x60361,x60362,f316(f316(f141(x60361),x60364),x60363))+P107(f316(x60362,x60364))
% 163.96/163.65 [6111]P32(x61111,x61112,x61113)+P32(x61111,x61112,x61114)+~P32(x61111,x61112,f316(f316(f124(x61111),x61114),x61113))
% 163.96/163.65 [6132]~P76(x61321)+E(f316(f316(f6(a898,x61321),x61322),f316(f291(a898,x61323),f316(a102,x61324))),f2(x61321))+~P107(f316(f316(f225(a898),x61324),x61323))
% 163.96/163.65 [6137]~P63(x61371)+~E(f38(x61371,x61372,x61373),f38(x61371,x61374,x61373))+E(f38(x61371,f316(f73(x61371),x61372),x61373),f38(x61371,f316(f73(x61371),x61374),x61373))
% 163.96/163.65 [6206]P107(f316(x62061,x62062))+~E(f316(f126(x62063,x62061),x62064),x62064)+~P107(f316(f316(f318(x62063),x62062),f316(f162(x62063),x62064)))
% 163.96/163.65 [6226]~E(f316(f316(f74(a898),x62263),x62262),f316(f316(f74(a898),x62261),x62264))+~P107(f316(f316(f225(a898),x62263),x62264))+P107(f316(f316(f225(a898),x62261),x62262))
% 163.96/163.65 [6232]P32(x62321,x62322,x62323)+~P107(f316(x62322,x62324))+~P107(f316(f316(f318(x62321),x62324),f316(f162(x62321),x62323)))
% 163.96/163.65 [6235]~P62(x62351)+E(f38(x62351,f38(x62351,x62352,x62353),x62354),f38(x62351,x62352,x62354))+~P107(f316(f316(f276(x62351),x62354),x62353))
% 163.96/163.65 [6275]~P30(x62753,x62751,x62754)+P107(f316(x62751,x62752))+~P107(f316(f316(f318(x62753),x62752),f316(f162(x62753),x62754)))
% 163.96/163.65 [6277]~E(f316(f126(x62771,x62772),x62773),f103(x62771))+~P107(f316(x62772,x62774))+~P107(f316(f316(f318(x62771),x62774),f316(f162(x62771),x62773)))
% 163.96/163.65 [6278]~E(f167(x62783,x62781,x62784),x62784)+P107(f316(x62781,x62782))+~P107(f316(f316(f318(x62783),x62782),f316(f162(x62783),x62784)))
% 163.96/163.65 [6304]~E(x63044,f178(f905(x63042,a895)))+~E(x63043,f178(f905(x63041,a895)))+E(f302(x63041,x63042,x63043,x63044),f178(f905(f906(x63041,x63042),a895)))
% 163.96/163.65 [6454]P107(f316(x64541,x64542))+~P107(f316(f150(x64543,x64541),x64544))+~P107(f316(f316(f318(x64543),x64542),f316(f162(x64543),x64544)))
% 163.96/163.65 [6595]~P29(x65951,x65953,x65954)+P107(f316(x65951,x65952))+~P107(f316(f316(f318(a898),x65952),f316(f291(a898,x65953),x65954)))
% 163.96/163.65 [6734]~P76(x67341)+E(f316(f316(f6(a898,x67341),x67342),f292(a898,x67343,f316(a102,x67344))),f2(x67341))+~P107(f316(f316(f225(a898),f316(a102,x67344)),x67343))
% 163.96/163.65 [6880]~P108(x68801)+E(f316(f316(f23(f905(x68801,a895)),f316(f291(x68801,x68802),x68803)),f316(f291(x68801,x68802),x68804)),f316(f291(x68801,x68804),x68803))+~P107(f316(f316(f224(x68801),x68802),x68804))
% 163.96/163.65 [6951]~E(x69513,x69514)+E(x69511,f2(a898))+P107(f316(f316(f318(x69512),x69513),f316(f162(x69512),f159(x69512,x69511,x69514))))
% 163.96/163.65 [7234]~P107(f316(f316(f318(f899(x72341)),x72344),f151(x72341,x72343)))+P107(f316(f316(f318(x72341),x72342),x72343))+~P107(f316(f316(f318(x72341),x72342),f316(f162(x72341),x72344)))
% 163.96/163.65 [7241]~P36(x72411,x72412)+P107(f316(f316(f318(x72411),f887(x72412,x72411,x72413)),x72413))+~P107(f316(f316(f318(x72411),x72414),x72413))
% 163.96/163.65 [7298]~P72(x72981)+E(f316(f316(f316(f58(x72981,x72982,f75(x72981)),x72983),f72(x72981)),x72984),f316(f316(f9(x72982,x72981),x72983),x72984))+~P107(f316(f54(x72982),x72984))
% 163.96/163.65 [7300]~P76(x73001)+E(f316(f316(f316(f58(x73001,x73002,f74(x73001)),x73003),f2(x73001)),x73004),f316(f316(f6(x73002,x73001),x73003),x73004))+~P107(f316(f54(x73002),x73004))
% 163.96/163.65 [7329]P22(x73291,x73292,x73293,x73294)+~E(f316(f28(x73292),f316(f299(x73291,x73292,x73293),x73294)),f316(f28(x73291),x73294))+~P107(f316(f54(x73291),x73294))
% 163.96/163.65 [7522]~P76(x75221)+E(f316(f316(f74(x75221),f316(x75222,x75223)),f316(f316(f6(a898,x75221),x75222),f294(a898,x75223,x75224))),f316(f316(f6(a898,x75221),x75222),f292(a898,x75223,x75224)))+~P107(f316(f316(f224(a898),x75223),x75224))
% 163.96/163.65 [7531]~P72(x75311)+~P22(x75312,x75311,x75313,x75314)+E(f316(f316(f9(x75311,x75311),f25(x75311)),f316(f299(x75312,x75311,x75313),x75314)),f316(f316(f9(x75312,x75311),x75313),x75314))
% 163.96/163.65 [7532]~P76(x75321)+~P22(x75322,x75321,x75323,x75324)+E(f316(f316(f6(x75321,x75321),f25(x75321)),f316(f299(x75322,x75321,x75323),x75324)),f316(f316(f6(x75322,x75321),x75323),x75324))
% 163.96/163.65 [7581]E(f316(f28(f906(x75811,x75812)),f302(x75811,x75812,x75813,x75814)),f316(f316(f74(a898),f316(f28(x75811),x75813)),f316(f28(x75812),x75814)))+~P107(f316(f54(x75812),x75814))+~P107(f316(f54(x75811),x75813))
% 163.96/163.65 [7663]E(x76631,x76632)+P107(f316(f316(f318(x76633),x76631),f316(f162(x76633),f160(x76633,x76632,x76634))))+~P107(f316(f316(f318(x76633),x76631),f316(f162(x76633),x76634)))
% 163.96/163.65 [7892]~P76(x78921)+E(f316(f316(f74(x78921),f316(f316(f6(a898,x78921),x78922),f316(f291(a898,x78923),x78924))),f316(x78922,x78924)),f316(f316(f6(a898,x78921),x78922),f316(f291(a898,x78923),f316(a102,x78924))))+P107(f316(f316(f225(a898),x78924),x78923))
% 163.96/163.65 [7943]~P22(x79431,x79432,x79433,f231(f905(x79431,a895)))+~P107(f316(f54(x79432),x79434))+P107(f316(f54(x79431),f316(f300(x79431,x79432,x79433),x79434)))
% 163.96/163.65 [8061]P107(f316(f316(f318(f899(x80611)),f316(f316(f141(x80611),x80612),x80613)),f151(x80611,x80614)))+~P107(f316(f316(f318(f899(x80611)),x80613),f151(x80611,x80614)))+~P107(f316(f316(f318(x80611),x80612),x80614))
% 163.96/163.65 [8148]~E(f316(f299(x81483,x81481,x81484),f231(f905(x81483,a895))),f231(f905(x81481,a895)))+P107(f316(f54(x81481),x81482))+~P107(f316(f54(x81483),f316(f300(x81483,x81481,x81484),x81482)))
% 163.96/163.65 [8242]~P22(x82421,x82423,x82424,x82422)+P107(f316(f54(x82421),x82422))+~P107(f316(f54(x82423),f316(f299(x82421,x82423,x82424),x82422)))
% 163.96/163.65 [8266]~E(x82662,x82663)+P107(f316(f316(f318(f904(x82661,x82661)),f316(f316(f241(x82661,x82661),x82662),x82663)),f252(x82661,x82664)))+~P107(f316(f316(f318(x82661),x82662),x82664))
% 163.96/163.65 [8299]~P76(x82991)+E(f316(f316(f74(x82991),f316(f316(f6(a898,x82991),x82992),f292(a898,x82993,x82994))),f316(x82992,f316(a102,x82994))),f316(f316(f6(a898,x82991),x82992),f292(a898,x82993,f316(a102,x82994))))+P107(f316(f316(f225(a898),f316(a102,x82994)),x82993))
% 163.96/163.65 [8359]P107(f316(x83591,x83592))+~P107(f316(x83591,f316(f316(f154(x83593),x83594),f653(x83591,x83594,x83593))))+~P107(f316(f316(f318(x83593),x83592),f316(f162(x83593),x83594)))
% 163.96/163.65 [8500]~P107(f316(f316(f318(x85001),x85002),f305(x85001,x85004)))+P107(f316(f316(f318(f899(x85001)),f316(f316(f141(x85001),x85002),x85003)),f305(f899(x85001),f147(x85001,x85004))))+~P107(f316(f316(f318(f899(x85001)),x85003),f305(f899(x85001),f147(x85001,x85004))))
% 163.96/163.65 [8515]~P22(x85152,x85153,x85154,f341(x85154,x85153,x85152,x85151))+P22(x85152,x85153,x85154,f31(f905(x85152,a895),x85151))+E(x85151,f178(f905(f905(x85152,a895),a895)))
% 163.96/163.65 [8787]E(x87871,x87872)+~P107(f316(f316(f318(f904(x87873,x87873)),f316(f316(f241(x87873,x87873),x87871),x87872)),f296(x87873,x87874)))+P107(f316(f316(f318(x87873),x87871),f316(f253(x87873,x87873),x87874)))
% 163.96/163.65 [9069]E(x90691,f2(a898))+P107(f316(x90692,x90693))+P107(f316(f316(f318(x90694),f765(x90692,x90693,x90691,x90694)),f316(f162(x90694),f159(x90694,x90691,x90693))))
% 163.96/163.65 [9081]E(x90811,f2(a898))+~P107(f316(x90813,x90814))+P107(f316(f316(f318(x90812),f764(x90813,x90814,x90811,x90812)),f316(f162(x90812),f159(x90812,x90811,x90814))))
% 163.96/163.65 [9083]~P23(x90831,x90832,x90833,f231(f905(x90831,a895)),f231(f905(x90832,a895)))+~P107(f316(f54(x90832),x90834))+P107(f316(f54(x90831),f316(f300(x90831,x90832,x90833),x90834)))
% 163.96/163.65 [9086]P22(x90862,x90863,x90864,f31(f905(x90862,a895),x90861))+E(x90861,f178(f905(f905(x90862,a895),a895)))+P107(f316(f316(f318(f905(x90862,a895)),f341(x90864,x90863,x90862,x90861)),x90861))
% 163.96/163.65 [9201]~P23(x92013,x92011,x92014,f231(f905(x92013,a895)),f231(f905(x92011,a895)))+P107(f316(f54(x92011),x92012))+~P107(f316(f54(x92013),f316(f300(x92013,x92011,x92014),x92012)))
% 163.96/163.65 [9218]P107(f316(f54(x92181),x92182))+~P107(f316(f54(x92184),f316(f299(x92181,x92184,x92183),x92182)))+P107(f316(f316(f318(x92181),f567(x92183,x92184,x92182,x92181)),x92182))
% 163.96/163.65 [9313]~P2(x93132)+E(f316(f316(f57(x93131,x93132,f316(f316(f8(x93132,f905(x93132,x93132),x93131),f91(x93132)),x93133)),f231(x93132)),x93134),f316(f316(f32(x93131,x93132),x93134),x93133))+~P107(f316(f54(x93131),x93134))
% 163.96/163.65 [9314]~P2(x93142)+E(f316(f316(f57(x93141,x93142,f316(f316(f8(x93142,f905(x93142,x93142),x93141),f100(x93142)),x93143)),f178(x93142)),x93144),f316(f316(f33(x93141,x93142),x93144),x93143))+~P107(f316(f54(x93141),x93144))
% 163.96/163.65 [9342]~P107(f316(f316(f276(a898),x93423),x93424))+P107(f316(f316(f276(a898),x93421),x93422))+P107(f316(f316(f225(f905(a898,a895)),f279(a898,f276(a898),x93421,x93422)),f279(a898,f276(a898),x93423,x93424)))
% 163.96/163.65 [9355]~P107(f316(f316(f276(a898),x93552),x93554))+~P107(f316(f316(f276(a898),x93553),x93551))+P107(f316(f316(f224(f905(a898,a895)),f279(a898,f276(a898),x93551,x93552)),f279(a898,f276(a898),x93553,x93554)))
% 163.96/163.65 [9398]P107(f316(x93981,x93982))+~P107(f316(x93981,f316(f316(f154(x93983),x93984),f689(x93982,x93981,x93984,x93983))))+~P107(f316(f316(f318(x93983),x93982),f316(f162(x93983),x93984)))
% 163.96/163.65 [9419]E(x94191,x94192)+~P107(f316(f316(f318(f904(x94193,x94193)),f316(f316(f241(x94193,x94193),x94191),x94192)),f296(x94193,x94194)))+P107(f316(f316(f318(f904(x94193,x94193)),f316(f316(f241(x94193,x94193),x94191),x94192)),f316(f316(f278(x94193,x94193,x94193),x94194),f296(x94193,x94194))))
% 163.96/163.65 [9469]~E(f316(f179(f899(x94691)),x94692),f316(f179(f899(x94691)),x94693))+~P107(f316(f316(f318(f904(f899(x94691),f899(x94691))),f316(f316(f241(f899(x94691),f899(x94691)),x94692),x94693)),f137(x94691,x94694)))+P107(f316(f316(f318(f904(f899(x94691),f899(x94691))),f316(f316(f241(f899(x94691),f899(x94691)),x94692),x94693)),f135(x94691,x94694)))
% 163.96/163.65 [9590]P107(f316(f316(f276(a898),x95901),x95902))+~P107(f316(f316(f276(a898),x95903),x95901))+~P107(f316(f316(f224(f905(a898,a895)),f279(a898,f276(a898),x95903,x95901)),f279(a898,f276(a898),x95904,x95902)))
% 163.96/163.65 [9591]P107(f316(f316(f276(a898),x95911),x95912))+~P107(f316(f316(f276(a898),x95913),x95911))+~P107(f316(f316(f225(f905(a898,a895)),f279(a898,f276(a898),x95913,x95911)),f279(a898,f276(a898),x95914,x95912)))
% 163.96/163.65 [9592]P107(f316(f316(f276(a898),x95921),x95922))+~P107(f316(f316(f276(a898),x95922),x95923))+~P107(f316(f316(f224(f905(a898,a895)),f279(a898,f276(a898),x95922,x95923)),f279(a898,f276(a898),x95921,x95924)))
% 163.96/163.65 [9593]P107(f316(f316(f276(a898),x95931),x95932))+~P107(f316(f316(f276(a898),x95932),x95933))+~P107(f316(f316(f225(f905(a898,a895)),f279(a898,f276(a898),x95932,x95933)),f279(a898,f276(a898),x95931,x95934)))
% 163.96/163.65 [9712]P30(x97121,f316(f316(f18(x97121,a895,a895),f316(f316(f8(a895,f905(a895,a895),x97121),a315),f316(f316(f8(a895,a895,x97121),a311),x97122))),f316(a313,x97123)),x97124)+~P107(f316(x97122,x97123))+~P34(x97121,x97122,f316(f316(f141(x97121),x97123),x97124))
% 163.96/163.65 [9879]~P30(x98791,f316(f316(f18(x98791,a895,a895),f316(f316(f8(a895,f905(a895,a895),x98791),a315),f316(f316(f8(a895,a895,x98791),a311),x98792))),f316(a313,x98793)),x98794)+~P107(f316(x98792,x98793))+P34(x98791,x98792,f316(f316(f141(x98791),x98793),x98794))
% 163.96/163.65 [9883]~P34(x98831,x98832,x98834)+~P30(x98831,f316(f316(f18(x98831,a895,a895),f316(f316(f8(a895,f905(a895,a895),x98831),a315),f316(f316(f8(a895,a895,x98831),a311),x98832))),f316(a313,x98833)),x98834)+P34(x98831,x98832,f316(f316(f141(x98831),x98833),x98834))
% 163.96/163.65 [9917]~P60(x99171)+E(f316(f316(f6(a898,x99171),f316(f316(f18(a898,x99171,x99171),f316(f316(f8(x99171,f905(x99171,x99171),a898),f23(x99171)),x99172)),f316(f316(f8(a898,x99171,a898),x99172),f316(f316(f7(a898,a898,a898),f74(a898)),f72(a898))))),f292(a898,x99173,x99174)),f2(x99171))+P107(f316(f316(f224(a898),x99173),x99174))
% 163.96/163.65 [10157]~P36(x101572,x101574)+~P22(x101572,x101571,x101573,f231(f905(x101572,a895)))+P36(x101571,f316(f299(f904(x101572,x101572),f904(x101571,x101571),f247(x101572,x101571,x101572,x101571,x101573,x101573)),x101574))
% 163.96/163.65 [10350]~E(f316(f179(f899(x103501)),x103503),f316(f179(f899(x103501)),x103502))+P107(f316(f316(f318(f904(f899(x103501),f899(x103501))),f316(f316(f241(f899(x103501),f899(x103501)),x103502),x103503)),f148(x103501,x103504)))+~P107(f316(f316(f246(x103501,x103501,a895),f316(f316(f7(x103501,f905(f904(x103501,x103501),a895),f905(x103501,a895)),f316(f316(f8(f905(x103501,f905(f905(f904(x103501,x103501),a895),a895)),f905(f905(f904(x103501,x103501),a895),f905(x103501,a895)),x103501),f7(x103501,f905(f904(x103501,x103501),a895),a895)),f316(f316(f8(f905(x103501,f904(x103501,x103501)),f905(x103501,f905(f905(f904(x103501,x103501),a895),a895)),x103501),f316(f8(f904(x103501,x103501),f905(f905(f904(x103501,x103501),a895),a895),x103501),f318(f904(x103501,x103501)))),f241(x103501,x103501)))),x103504)),f657(x103504,x103503,x103502,x103501)))
% 163.96/163.65 [6187]~P62(x61871)+~E(x61872,f2(x61871))+E(f316(f316(f29(x61871),f316(f316(f75(x61871),x61872),x61873)),f316(f316(f75(x61871),x61872),x61874)),f2(x61871))
% 163.96/163.65 [6229]E(x62291,f103(x62292))+E(x62293,f316(f316(f23(a898),f316(f179(f899(x62292)),x62291)),f72(a898)))+E(f134(x62292,f316(f316(f149(x62292,x62291),x62293),x62294)),f134(x62292,x62291))
% 163.96/163.65 [6266]E(x62661,x62662)+P107(f316(x62663,x62662))+~P107(f316(f316(f316(f298(x62664),x62661),x62663),x62662))
% 163.96/163.65 [6282]~P76(x62821)+~P107(f316(f127(x62822),x62824))+E(f316(f155(x62821),f316(f316(f144(x62822,x62821),x62823),x62824)),f316(f316(f6(x62822,x62821),x62823),f316(f162(x62822),x62824)))
% 163.96/163.65 [6297]~P72(x62972)+~P107(f316(f54(x62971),x62974))+E(f316(f316(f9(x62971,x62972),f316(f16(x62972,x62971),x62973)),x62974),f316(f316(f233(x62972),x62973),f316(f28(x62971),x62974)))
% 163.96/163.65 [6351]~P62(x63512)+E(x63511,f2(x63512))+E(f316(f316(f29(x63512),f316(f316(f75(x63512),x63513),x63511)),f316(f316(f75(x63512),x63514),x63511)),f316(f316(f29(x63512),x63513),x63514))
% 163.96/163.65 [6353]~P65(x63532)+E(x63531,f2(x63532))+E(f316(f316(f280(x63532),f316(f316(f75(x63532),x63533),x63531)),f316(f316(f75(x63532),x63534),x63531)),f316(f316(f280(x63532),x63533),x63534))
% 163.96/163.65 [6354]~P65(x63542)+E(x63541,f2(x63542))+E(f316(f316(f280(x63542),f316(f316(f75(x63542),x63541),x63543)),f316(f316(f75(x63542),x63541),x63544)),f316(f316(f280(x63542),x63543),x63544))
% 163.96/163.65 [6355]~P62(x63552)+E(x63551,f2(x63552))+E(f316(f316(f29(x63552),f316(f316(f75(x63552),x63551),x63553)),f316(f316(f75(x63552),x63551),x63554)),f316(f316(f29(x63552),x63553),x63554))
% 163.96/163.65 [6423]P107(f316(x64231,x64232))+~E(x64233,f316(f316(f74(a898),x64234),x64232))+~P107(f316(x64231,f316(f316(f23(a898),x64233),x64234)))
% 163.96/163.65 [6509]~P107(f316(x65092,x65093))+~P107(f316(f150(x65091,x65092),x65094))+P107(f316(f150(x65091,x65092),f316(f316(f141(x65091),x65093),x65094)))
% 163.96/163.65 [6550]E(x65501,f103(x65502))+~E(x65503,f316(f316(f23(a898),f316(f179(f899(x65502)),x65501)),f72(a898)))+E(f134(x65502,f316(f316(f149(x65502,x65501),x65503),x65504)),x65504)
% 163.96/163.65 [6573]~P83(x65731)+~P107(f316(f316(f224(x65731),x65732),x65734))+P107(f316(f316(f224(x65731),x65732),f316(f316(f100(x65731),x65733),x65734)))
% 163.96/163.65 [6574]~P83(x65741)+~P107(f316(f316(f224(x65741),x65742),x65743))+P107(f316(f316(f224(x65741),x65742),f316(f316(f100(x65741),x65743),x65744)))
% 163.96/163.65 [6576]~P108(x65761)+~P107(f316(f316(f224(x65761),x65762),x65764))+P107(f316(f316(f224(x65761),x65762),f316(f316(f223(x65761),x65763),x65764)))
% 163.96/163.65 [6578]~P108(x65781)+~P107(f316(f316(f224(x65781),x65782),x65783))+P107(f316(f316(f224(x65781),x65782),f316(f316(f223(x65781),x65783),x65784)))
% 163.96/163.65 [6579]~P83(x65791)+~P107(f316(f316(f225(x65791),x65792),x65794))+P107(f316(f316(f225(x65791),x65792),f316(f316(f100(x65791),x65793),x65794)))
% 163.96/163.65 [6580]~P83(x65801)+~P107(f316(f316(f225(x65801),x65802),x65803))+P107(f316(f316(f225(x65801),x65802),f316(f316(f100(x65801),x65803),x65804)))
% 163.96/163.65 [6582]~P108(x65821)+~P107(f316(f316(f225(x65821),x65822),x65824))+P107(f316(f316(f225(x65821),x65822),f316(f316(f223(x65821),x65823),x65824)))
% 163.96/163.65 [6584]~P108(x65841)+~P107(f316(f316(f225(x65841),x65842),x65843))+P107(f316(f316(f225(x65841),x65842),f316(f316(f223(x65841),x65843),x65844)))
% 163.96/163.65 [6585]~P117(x65851)+~P107(f316(f316(f276(x65851),x65852),x65854))+P107(f316(f316(f276(x65851),x65852),f316(f316(f75(x65851),x65853),x65854)))
% 163.96/163.65 [6586]~P117(x65861)+~P107(f316(f316(f276(x65861),x65862),x65863))+P107(f316(f316(f276(x65861),x65862),f316(f316(f75(x65861),x65863),x65864)))
% 163.96/163.65 [6678]~E(f316(f316(f154(x66781),x66782),x66783),x66784)+E(f316(f316(f149(x66781,x66782),x66783),x66784),x66782)+~P107(f316(f316(f225(a898),x66783),f316(f179(f899(x66781)),x66782)))
% 163.96/163.65 [6718]P107(f316(x67181,x67182))+~P107(f316(x67183,x67182))+~P107(f316(f316(f224(f905(x67184,a895)),x67183),x67181))
% 163.96/163.65 [6753]~E(f316(f316(f149(x67531,x67532),x67533),x67534),x67532)+E(f316(f316(f154(x67531),x67532),x67533),x67534)+~P107(f316(f316(f225(a898),x67533),f316(f179(f899(x67531)),x67532)))
% 163.96/163.65 [6767]~P107(f316(f150(x67671,x67672),x67674))+~P107(f316(f150(x67671,x67672),x67673))+P107(f316(f150(x67671,x67672),f316(f316(f124(x67671),x67673),x67674)))
% 163.96/163.65 [6876]E(x68761,f178(f905(x68762,a895)))+E(x68763,f178(f905(x68764,a895)))+~E(f316(f316(f243(x68764,x68762),x68763),f316(f16(f905(x68762,a895),x68764),x68761)),f178(f905(f904(x68764,x68762),a895)))
% 163.96/163.65 [6896]E(x68961,x68962)+P107(f316(f316(f318(x68963),x68961),x68964))+~P107(f316(f316(f318(x68963),x68961),f316(f316(f298(x68963),x68962),x68964)))
% 163.96/163.65 [6913]~P108(x69131)+P107(f316(f316(f224(x69131),x69132),x69133))+~P107(f316(f316(f224(x69131),x69132),f316(f316(f222(x69131),x69134),x69133)))
% 163.96/163.65 [6915]~P108(x69151)+P107(f316(f316(f224(x69151),x69152),x69153))+~P107(f316(f316(f224(x69151),x69152),f316(f316(f222(x69151),x69153),x69154)))
% 163.96/163.65 [6917]~P103(x69171)+P107(f316(f316(f224(x69171),x69172),x69173))+~P107(f316(f316(f224(x69171),x69172),f316(f316(f91(x69171),x69174),x69173)))
% 163.96/163.65 [6919]~P103(x69191)+P107(f316(f316(f224(x69191),x69192),x69193))+~P107(f316(f316(f224(x69191),x69192),f316(f316(f91(x69191),x69193),x69194)))
% 163.96/163.65 [6920]~P108(x69201)+P107(f316(f316(f225(x69201),x69202),x69203))+~P107(f316(f316(f225(x69201),x69202),f316(f316(f222(x69201),x69204),x69203)))
% 163.96/163.65 [6921]~P108(x69211)+P107(f316(f316(f225(x69211),x69212),x69213))+~P107(f316(f316(f225(x69211),x69212),f316(f316(f222(x69211),x69213),x69214)))
% 163.96/163.65 [6942]~E(f316(f316(f154(x69421),x69423),x69424),x69422)+P107(f316(f316(f318(x69421),x69422),f316(f162(x69421),x69423)))+~P107(f316(f316(f225(a898),x69424),f316(f179(f899(x69421)),x69423)))
% 163.96/163.65 [6952]~P108(x69521)+~P10(x69521,f316(f316(f141(x69521),x69522),f316(f316(f141(x69521),x69523),x69524)))+P107(f316(f316(f224(x69521),x69522),x69523))
% 163.96/163.65 [7098]~P30(x70982,x70981,x70983)+P107(f316(x70981,f316(f316(f154(x70982),x70983),x70984)))+~P107(f316(f316(f225(a898),x70984),f316(f179(f899(x70982)),x70983)))
% 163.96/163.65 [7116]E(x71161,f2(a1))+E(f316(f316(f29(a1),x71162),x71161),x71163)+~P107(f316(f42(x71162,x71161),f316(f316(f241(a1,a1),x71163),x71164)))
% 163.96/163.65 [7138]E(f38(a1,x71382,x71381),x71383)+E(x71381,f2(a1))+~P107(f316(f42(x71382,x71381),f316(f316(f241(a1,a1),x71384),x71383)))
% 163.96/163.65 [7258]P107(f316(f316(f318(x72581),x72582),x72583))+~P107(f316(f316(f318(x72581),x72582),x72584))+~P107(f316(f316(f225(f905(x72581,a895)),x72584),x72583))
% 163.96/163.65 [7259]P107(f316(f316(f318(x72591),x72592),x72593))+~P107(f316(f316(f318(x72591),x72592),x72594))+~P107(f316(f316(f224(f905(x72591,a895)),x72594),x72593))
% 163.96/163.65 [7270]~P113(x72701)+~E(x72703,f2(x72701))+P107(f316(f316(f276(x72701),f316(f316(f75(x72701),x72702),x72703)),f316(f316(f75(x72701),x72704),x72703)))
% 163.96/163.65 [7271]~P113(x72711)+~E(x72712,f2(x72711))+P107(f316(f316(f276(x72711),f316(f316(f75(x72711),x72712),x72713)),f316(f316(f75(x72711),x72712),x72714)))
% 163.96/163.65 [7373]P32(x73731,x73732,x73733)+~P107(f316(x73732,f316(f316(f154(x73731),x73733),x73734)))+~P107(f316(f316(f225(a898),x73734),f316(f179(f899(x73731)),x73733)))
% 163.96/163.65 [7487]~P110(x74872)+~P107(f316(f316(f225(f905(x74871,x74872)),x74873),x74874))+P107(f316(f316(f224(f905(x74871,x74872)),x74873),x74874))
% 163.96/163.65 [7570]~P21(x75701,x75702,x75704)+P21(x75701,x75702,f316(f316(f298(f897(x75701)),x75703),x75704))+~P21(x75701,x75702,f316(f316(f298(f897(x75701)),x75703),f178(f905(f897(x75701),a895))))
% 163.96/163.65 [7612]~P107(f316(f316(f318(x76121),x76122),x76124))+P107(f316(f316(f318(x76121),x76122),f30(f905(x76121,a895),x76123)))+~P107(f316(f316(f318(f905(x76121,a895)),x76124),x76123))
% 163.96/163.65 [7614]~P117(x76141)+~P107(f316(f316(f224(a898),x76143),x76144))+P107(f316(f316(f276(x76141),f316(f316(f233(x76141),x76142),x76143)),f316(f316(f233(x76141),x76142),x76144)))
% 163.96/163.65 [7640]~P87(x76401)+~P107(f316(f316(f224(x76401),x76403),x76404))+P107(f316(f316(f224(x76401),f316(f316(f74(x76401),x76402),x76403)),f316(f316(f74(x76401),x76402),x76404)))
% 163.96/163.65 [7641]~P88(x76411)+~P107(f316(f316(f224(x76411),x76413),x76414))+P107(f316(f316(f224(x76411),f316(f316(f74(x76411),x76412),x76413)),f316(f316(f74(x76411),x76412),x76414)))
% 163.96/163.65 [7642]~P87(x76421)+~P107(f316(f316(f224(x76421),x76422),x76424))+P107(f316(f316(f224(x76421),f316(f316(f74(x76421),x76422),x76423)),f316(f316(f74(x76421),x76424),x76423)))
% 163.96/163.65 [7643]~P88(x76431)+~P107(f316(f316(f224(x76431),x76432),x76434))+P107(f316(f316(f224(x76431),f316(f316(f74(x76431),x76432),x76433)),f316(f316(f74(x76431),x76434),x76433)))
% 163.96/163.65 [7644]~P87(x76441)+~P107(f316(f316(f225(x76441),x76443),x76444))+P107(f316(f316(f225(x76441),f316(f316(f74(x76441),x76442),x76443)),f316(f316(f74(x76441),x76442),x76444)))
% 163.96/163.65 [7645]~P90(x76451)+~P107(f316(f316(f225(x76451),x76453),x76454))+P107(f316(f316(f225(x76451),f316(f316(f74(x76451),x76452),x76453)),f316(f316(f74(x76451),x76452),x76454)))
% 163.96/163.65 [7646]~P87(x76461)+~P107(f316(f316(f225(x76461),x76462),x76464))+P107(f316(f316(f225(x76461),f316(f316(f74(x76461),x76462),x76463)),f316(f316(f74(x76461),x76464),x76463)))
% 163.96/163.65 [7647]~P90(x76471)+~P107(f316(f316(f225(x76471),x76472),x76474))+P107(f316(f316(f225(x76471),f316(f316(f74(x76471),x76472),x76473)),f316(f316(f74(x76471),x76474),x76473)))
% 163.96/163.65 [7648]~P113(x76481)+~P107(f316(f316(f276(x76481),x76483),x76484))+P107(f316(f316(f276(x76481),f316(f316(f75(x76481),x76482),x76483)),f316(f316(f75(x76481),x76482),x76484)))
% 163.96/163.65 [7649]~P113(x76491)+~P107(f316(f316(f276(x76491),x76492),x76494))+P107(f316(f316(f276(x76491),f316(f316(f75(x76491),x76492),x76493)),f316(f316(f75(x76491),x76494),x76493)))
% 163.96/163.65 [7650]~P117(x76501)+~P107(f316(f316(f276(x76501),x76502),x76504))+P107(f316(f316(f276(x76501),f316(f316(f233(x76501),x76502),x76503)),f316(f316(f233(x76501),x76504),x76503)))
% 163.96/163.65 [7657]~P122(x76571)+~P97(x76571)+E(f316(f316(f23(x76571),f316(f316(f75(x76571),x76572),f316(f93(x76571),x76573))),f316(f316(f75(x76571),x76574),f316(f93(x76571),x76573))),f316(f316(f75(x76571),f316(f316(f23(x76571),x76572),x76574)),f316(f93(x76571),x76573)))
% 163.96/163.65 [7658]~P143(x76581)+~P97(x76581)+E(f316(f316(f74(x76581),f316(f316(f75(x76581),x76582),f316(f93(x76581),x76583))),f316(f316(f75(x76581),x76584),f316(f93(x76581),x76583))),f316(f316(f75(x76581),f316(f316(f74(x76581),x76582),x76584)),f316(f93(x76581),x76583)))
% 163.96/163.65 [7694]~P76(x76941)+E(f316(f316(f74(x76941),f316(x76942,x76943)),f316(f316(f6(a898,x76941),x76942),f292(a898,f316(a102,x76943),x76944))),f316(f316(f6(a898,x76941),x76942),f292(a898,x76943,x76944)))+~P107(f316(f316(f224(a898),x76943),x76944))
% 163.96/163.65 [7706]~P22(x77062,x77061,x77063,f316(f162(x77062),x77064))+~P107(f316(f127(x77062),x77064))+P107(f316(f127(x77061),f316(f316(f144(x77062,x77061),x77063),x77064)))
% 163.96/163.65 [7755]~P107(f316(f316(f224(a898),x77552),x77554))+~P107(f316(f316(f224(a898),x77551),x77553))+P107(f316(f316(f224(a898),f316(f316(f75(a898),x77551),x77552)),f316(f316(f75(a898),x77553),x77554)))
% 163.96/163.65 [7756]~P107(f316(f316(f224(a898),x77562),x77564))+~P107(f316(f316(f224(a898),x77561),x77563))+P107(f316(f316(f224(a898),f316(f316(f74(a898),x77561),x77562)),f316(f316(f74(a898),x77563),x77564)))
% 163.96/163.65 [7759]~P107(f316(f316(f225(a898),x77592),x77594))+~P107(f316(f316(f225(a898),x77591),x77593))+P107(f316(f316(f225(a898),f316(f316(f74(a898),x77591),x77592)),f316(f316(f74(a898),x77593),x77594)))
% 163.96/163.65 [7760]~P107(f316(f316(f224(a1),x77602),x77604))+~P107(f316(f316(f225(a1),x77601),x77603))+P107(f316(f316(f225(a1),f316(f316(f74(a1),x77601),x77602)),f316(f316(f74(a1),x77603),x77604)))
% 163.96/163.65 [7808]P107(f316(f316(f318(x78081),x78082),x78083))+~P107(f316(f316(f318(x78081),x78082),f31(f905(x78081,a895),x78084)))+~P107(f316(f316(f318(f905(x78081,a895)),x78083),x78084))
% 163.96/163.65 [7825]~P107(f316(x78251,f651(x78251,x78253,x78252)))+P107(f316(x78251,f316(f316(f154(x78252),x78253),x78254)))+~P107(f316(f316(f225(a898),x78254),f316(f179(f899(x78252)),x78253)))
% 163.96/163.65 [7830]P107(f316(x78301,x78302))+~P107(f316(f316(f318(x78304),x78302),f316(f162(x78304),x78303)))+P107(f316(f316(f225(a898),f653(x78301,x78303,x78304)),f316(f179(f899(x78304)),x78303)))
% 163.96/163.65 [7877]~P110(x78771)+~P107(f316(f316(f225(f905(x78772,x78771)),x78774),x78773))+~P107(f316(f316(f224(f905(x78772,x78771)),x78773),x78774))
% 163.96/163.65 [7922]~P107(f316(x79224,x79222))+~P107(f316(f316(f318(x79221),x79222),x79223))+P107(f316(f316(f318(x79221),x79222),f316(f316(f91(f905(x79221,a895)),x79223),f316(f251(x79221),x79224))))
% 163.96/163.65 [8068]~P107(f316(f316(f318(x80681),x80683),x80684))+~P107(f316(f316(f225(f905(x80681,a895)),x80682),x80684))+P107(f316(f316(f225(f905(x80681,a895)),x80682),f316(f316(f298(x80681),x80683),x80684)))
% 163.96/163.65 [8070]E(f316(f316(f91(f905(x80701,a895)),x80702),x80703),f178(f905(x80701,a895)))+~E(f316(f316(f91(f905(x80701,a895)),f30(f905(x80701,a895),x80704)),x80703),f178(f905(x80701,a895)))+~P107(f316(f316(f318(f905(x80701,a895)),x80702),x80704))
% 163.96/163.65 [8144]P107(f316(f316(f318(x81441),x81442),x81443))+~P107(f316(f316(f224(f905(x81441,a895)),x81443),f316(f316(f298(x81441),x81442),x81444)))+P107(f316(f316(f224(f905(x81441,a895)),x81443),x81444))
% 163.96/163.65 [8161]P107(f316(f316(f318(x81612),f651(x81611,x81613,x81612)),f316(f162(x81612),x81613)))+P107(f316(x81611,f316(f316(f154(x81612),x81613),x81614)))+~P107(f316(f316(f225(a898),x81614),f316(f179(f899(x81612)),x81613)))
% 163.96/163.65 [8169]~P107(f316(f316(f224(f905(x81691,a895)),x81692),x81694))+P107(f316(f316(f224(f905(x81691,a895)),x81692),x81693))+~P107(f316(f316(f224(f905(x81691,a895)),x81694),x81693))
% 163.96/163.65 [8170]~P107(f316(f316(f225(f905(x81701,a895)),x81702),x81704))+~P107(f316(f316(f224(f905(x81701,a895)),x81704),x81703))+P107(f316(f316(f225(f905(x81701,a895)),x81702),x81703))
% 163.96/163.65 [8171]~P107(f316(f316(f224(f905(x81711,a895)),x81712),x81714))+~P107(f316(f316(f225(f905(x81711,a895)),x81714),x81713))+P107(f316(f316(f225(f905(x81711,a895)),x81712),x81713))
% 163.96/163.65 [8172]~P107(f316(f316(f225(f905(x81721,a895)),x81722),x81724))+P107(f316(f316(f225(f905(x81721,a895)),x81722),x81723))+~P107(f316(f316(f225(f905(x81721,a895)),x81724),x81723))
% 163.96/163.65 [8216]~P107(f316(f316(f318(x82161),x82164),x82163))+~P107(f316(f316(f225(f905(x82161,a895)),x82162),f316(f316(f298(x82161),x82164),x82163)))+P107(f316(f316(f225(f905(x82161,a895)),x82162),x82163))
% 163.96/163.65 [8227]~P87(x82271)+P107(f316(f316(f224(x82271),x82272),x82273))+~P107(f316(f316(f224(x82271),f316(f316(f74(x82271),x82274),x82272)),f316(f316(f74(x82271),x82274),x82273)))
% 163.96/163.65 [8229]~P87(x82291)+P107(f316(f316(f224(x82291),x82292),x82293))+~P107(f316(f316(f224(x82291),f316(f316(f74(x82291),x82292),x82294)),f316(f316(f74(x82291),x82293),x82294)))
% 163.96/163.65 [8231]~P87(x82311)+P107(f316(f316(f225(x82311),x82312),x82313))+~P107(f316(f316(f225(x82311),f316(f316(f74(x82311),x82314),x82312)),f316(f316(f74(x82311),x82314),x82313)))
% 163.96/163.65 [8233]~P87(x82331)+P107(f316(f316(f225(x82331),x82332),x82333))+~P107(f316(f316(f225(x82331),f316(f316(f74(x82331),x82332),x82334)),f316(f316(f74(x82331),x82333),x82334)))
% 163.96/163.65 [8283]P107(f316(x82831,x82832))+~E(f316(f316(f128(x82833),f316(f179(f899(x82833)),f167(x82833,x82831,x82834))),x82834),f103(x82833))+~P107(f316(f316(f318(x82833),x82832),f316(f162(x82833),x82834)))
% 163.96/163.65 [8402]P107(f316(x84021,x84022))+~P107(f316(f316(f318(x84023),x84022),f316(f162(x84023),x84024)))+P107(f316(f316(f225(a898),f316(f179(f899(x84023)),f316(f126(x84023,x84021),x84024))),f316(f179(f899(x84023)),x84024)))
% 163.96/163.65 [8894]~P107(f316(x88941,f744(x88941,x88943,x88942,x88944)))+P107(f316(x88941,f316(f316(f154(x88942),x88943),x88944)))+~P107(f316(f316(f225(a898),x88944),f316(f179(f899(x88942)),x88943)))
% 163.96/163.65 [8918]~P22(x89184,x89183,x89181,f231(f905(x89184,a895)))+E(f316(x89181,f869(x89182,x89181,x89183,x89184)),x89182)+~P107(f316(f316(f318(x89183),x89182),f316(f299(x89184,x89183,x89181),f231(f905(x89184,a895)))))
% 163.96/163.65 [8986]E(f167(x89861,x89862,x89863),f316(f316(f165(x89861),x89864),x89863))+P107(f316(f316(f225(a898),f715(x89862,x89863,x89861,x89864)),x89864))+P107(f316(f316(f225(a898),x89864),f316(f179(f899(x89861)),x89863)))
% 163.96/163.65 [8989]E(f167(x89891,x89892,x89893),f316(f316(f165(x89891),x89894),x89893))+P107(f316(f316(f225(a898),f715(x89892,x89893,x89891,x89894)),x89894))+P107(f316(x89892,f316(f316(f154(x89891),x89893),x89894)))
% 163.96/163.65 [9024]P107(f316(x90241,x90242))+~P107(f316(f316(f318(x90244),x90242),f316(f162(x90244),x90243)))+P107(f316(f316(f225(a898),f689(x90242,x90241,x90243,x90244)),f316(f179(f899(x90244)),x90243)))
% 163.96/163.65 [9026]E(f167(x90261,x90262,x90263),f316(f316(f165(x90261),x90264),x90263))+P107(f316(f316(f225(a898),x90264),f316(f179(f899(x90261)),x90263)))+P107(f316(f316(f225(a898),f715(x90262,x90263,x90261,x90264)),f316(f179(f899(x90261)),x90263)))
% 163.96/163.65 [9033]E(f167(x90331,x90332,x90333),f316(f316(f165(x90331),x90334),x90333))+P107(f316(x90332,f316(f316(f154(x90331),x90333),x90334)))+P107(f316(f316(f225(a898),f715(x90332,x90333,x90331,x90334)),f316(f179(f899(x90331)),x90333)))
% 163.96/163.65 [9060]~P126(x90604)+P107(f316(f316(f318(x90601),f632(x90602,x90603,x90601,x90604)),x90603))+P107(f316(f316(f225(x90604),f2(x90604)),f316(f316(f9(x90601,x90604),x90602),x90603)))
% 163.96/163.65 [9061]~P126(x90614)+P107(f316(f316(f318(x90611),f638(x90612,x90613,x90611,x90614)),x90613))+P107(f316(f316(f224(x90614),f2(x90614)),f316(f316(f9(x90611,x90614),x90612),x90613)))
% 163.96/163.65 [9088]~P107(f316(f54(x90881),x90884))+P107(f316(f316(f318(x90881),f412(x90882,x90883,x90884,x90881)),x90884))+P107(f316(f54(f904(x90881,x90883)),f316(f316(f243(x90881,x90883),x90884),x90882)))
% 163.96/163.65 [9120]P107(f316(f316(f318(x91202),f744(x91201,x91203,x91202,x91204)),f316(f162(x91202),x91203)))+P107(f316(x91201,f316(f316(f154(x91202),x91203),x91204)))+~P107(f316(f316(f225(a898),x91204),f316(f179(f899(x91202)),x91203)))
% 163.96/163.65 [9249]P107(f316(f316(f224(a898),x92494),f316(f179(f899(x92492)),f167(x92492,x92493,x92491))))+P107(f316(f316(f225(a898),f716(x92491,x92492,x92493,x92494)),x92494))+~P107(f316(f316(f224(a898),x92494),f316(f179(f899(x92492)),x92491)))
% 163.96/163.65 [9402]E(f167(x94021,x94022,x94023),f316(f316(f165(x94021),x94024),x94023))+~P107(f316(x94022,f316(f316(f154(x94021),x94023),f715(x94022,x94023,x94021,x94024))))+P107(f316(f316(f225(a898),x94024),f316(f179(f899(x94021)),x94023)))
% 163.96/163.65 [9409]E(f167(x94091,x94092,x94093),f316(f316(f165(x94091),x94094),x94093))+~P107(f316(x94092,f316(f316(f154(x94091),x94093),f715(x94092,x94093,x94091,x94094))))+P107(f316(x94092,f316(f316(f154(x94091),x94093),x94094)))
% 163.96/163.65 [9413]~P107(f316(f54(x94131),x94133))+~P107(f316(f54(x94132),f316(x94134,f412(x94134,x94132,x94133,x94131))))+P107(f316(f54(f904(x94131,x94132)),f316(f316(f243(x94131,x94132),x94133),x94134)))
% 163.96/163.65 [9421]~P126(x94211)+~P107(f316(f316(f224(x94211),f2(x94211)),f316(x94213,f638(x94213,x94214,x94212,x94211))))+P107(f316(f316(f224(x94211),f2(x94211)),f316(f316(f9(x94212,x94211),x94213),x94214)))
% 163.96/163.65 [9422]~P126(x94221)+~P107(f316(f316(f225(x94221),f2(x94221)),f316(x94223,f632(x94223,x94224,x94222,x94221))))+P107(f316(f316(f225(x94221),f2(x94221)),f316(f316(f9(x94222,x94221),x94223),x94224)))
% 163.96/163.65 [9430]~E(f316(f179(f899(x94304)),x94302),f316(f179(f899(x94304)),x94303))+P107(f316(f316(f318(f904(f899(x94304),f899(x94304))),f316(f316(f241(f899(x94304),f899(x94304)),x94303),x94302)),f148(x94304,x94301)))+P107(f316(f316(f225(a898),f644(x94301,x94302,x94303,x94304)),f316(f179(f899(x94304)),x94303)))
% 163.96/163.65 [9482]~P107(f316(x94823,f316(f316(f154(x94822),x94824),f716(x94824,x94822,x94823,x94821))))+P107(f316(f316(f224(a898),x94821),f316(f179(f899(x94822)),f167(x94822,x94823,x94824))))+~P107(f316(f316(f224(a898),x94821),f316(f179(f899(x94822)),x94824)))
% 163.96/163.65 [9561]E(f316(f316(f165(x95611),f652(x95612,x95613,x95614,x95611)),x95613),f316(f316(f165(x95611),f652(x95612,x95613,x95614,x95611)),x95614))+~P107(f316(f316(f318(f904(f899(x95611),f899(x95611))),f316(f316(f241(f899(x95611),f899(x95611)),x95614),x95613)),f137(x95611,x95612)))+P107(f316(f316(f225(a898),f316(f179(f899(x95611)),x95614)),f316(f179(f899(x95611)),x95613)))
% 163.96/163.65 [9626]~P107(f316(f316(f225(a898),f2(a898)),x96263))+~P107(f316(f316(f225(a898),x96264),x96261))+P107(f316(f316(f225(a898),f316(f316(f74(a898),f316(f316(f75(a898),x96261),f38(a898,x96262,x96263))),x96264)),f316(f316(f75(a898),x96261),x96263)))
% 163.96/163.65 [9817]~P110(x98172)+~P107(f316(f316(f224(x98172),f316(x98173,f874(x98174,x98173,x98171,x98172))),f316(x98174,f874(x98174,x98173,x98171,x98172))))+P107(f316(f316(f224(f905(x98171,x98172)),x98173),x98174))
% 163.96/163.65 [9922]~P60(x99221)+E(f316(f316(f6(a898,x99221),f316(f316(f18(a898,x99221,x99221),f316(f316(f8(x99221,f905(x99221,x99221),a898),f23(x99221)),x99222)),f316(f316(f8(a898,x99221,a898),x99222),f316(f316(f7(a898,a898,a898),f74(a898)),f72(a898))))),f292(a898,x99223,x99224)),f316(f316(f23(x99221),f316(x99222,x99223)),f316(x99222,f316(f316(f74(a898),x99224),f72(a898)))))+~P107(f316(f316(f224(a898),x99223),x99224))
% 163.96/163.65 [9998]~P36(x99983,f316(f316(f278(x99983,x99983,x99983),x99982),f296(x99983,x99982)))+~P107(f316(f316(f318(f904(x99983,x99983)),f316(f316(f241(x99983,x99983),f316(x99981,f316(a102,f827(x99982,x99981,x99983)))),f316(x99981,f827(x99982,x99981,x99983)))),f296(x99983,x99982)))+E(f316(x99981,f316(f316(f74(a898),f826(x99982,x99981,x99983)),x99984)),f316(x99981,f826(x99982,x99981,x99983)))
% 163.96/163.65 [6859]~P62(x68591)+E(f316(f316(f29(x68591),f316(f316(f75(x68591),x68592),x68593)),x68594),f316(f316(f75(x68591),x68592),f316(f316(f29(x68591),x68593),x68594)))+~P107(f316(f316(f276(x68591),x68594),x68593))
% 163.96/163.65 [6946]E(f316(f316(f124(x69461),x69462),x69463),x69464)+~E(x69463,f316(f316(f128(x69461),f316(f179(f899(x69461)),x69462)),x69464))+~E(f316(f316(f165(x69461),f316(f179(f899(x69461)),x69462)),x69464),x69462)
% 163.96/163.65 [7001]~P66(x70012)+E(x70011,f2(x70012))+E(f316(f316(f280(x70012),f316(f316(f233(x70012),x70013),x70014)),f316(f316(f233(x70012),x70011),x70014)),f316(f316(f233(x70012),f316(f316(f280(x70012),x70013),x70011)),x70014))
% 163.96/163.65 [7147]~P62(x71471)+E(f316(f316(f29(x71471),f316(f316(f75(x71471),x71472),x71473)),x71474),f316(f316(f75(x71471),f316(f316(f29(x71471),x71472),x71474)),x71473))+~P107(f316(f316(f276(x71471),x71474),x71472))
% 163.96/163.65 [7155]~P103(x71551)+~P107(f316(f316(f224(x71551),x71553),x71554))+P107(f316(f316(f224(x71551),f316(f316(f91(x71551),x71552),x71553)),x71554))
% 163.96/163.65 [7156]~P103(x71561)+~P107(f316(f316(f224(x71561),x71562),x71564))+P107(f316(f316(f224(x71561),f316(f316(f91(x71561),x71562),x71563)),x71564))
% 163.96/163.65 [7158]~P108(x71581)+~P107(f316(f316(f224(x71581),x71583),x71584))+P107(f316(f316(f224(x71581),f316(f316(f222(x71581),x71582),x71583)),x71584))
% 163.96/163.65 [7160]~P108(x71601)+~P107(f316(f316(f224(x71601),x71602),x71604))+P107(f316(f316(f224(x71601),f316(f316(f222(x71601),x71602),x71603)),x71604))
% 163.96/163.65 [7161]~P103(x71611)+~P107(f316(f316(f225(x71611),x71613),x71614))+P107(f316(f316(f225(x71611),f316(f316(f91(x71611),x71612),x71613)),x71614))
% 163.96/163.65 [7162]~P103(x71621)+~P107(f316(f316(f225(x71621),x71622),x71624))+P107(f316(f316(f225(x71621),f316(f316(f91(x71621),x71622),x71623)),x71624))
% 163.96/163.65 [7164]~P108(x71641)+~P107(f316(f316(f225(x71641),x71643),x71644))+P107(f316(f316(f225(x71641),f316(f316(f222(x71641),x71642),x71643)),x71644))
% 163.96/163.65 [7166]~P108(x71661)+~P107(f316(f316(f225(x71661),x71662),x71664))+P107(f316(f316(f225(x71661),f316(f316(f222(x71661),x71662),x71663)),x71664))
% 163.96/163.65 [7189]~P107(f316(x71893,x71894))+~P107(f316(x71892,x71894))+P107(f316(f316(f316(f91(f905(x71891,a895)),x71892),x71893),x71894))
% 163.96/163.65 [7315]P21(x73151,x73152,x73153)+~P21(x73151,x73154,x73153)+~P107(f316(f316(f224(f905(f897(x73151),a895)),x73154),x73152))
% 163.96/163.65 [7316]P21(x73161,x73162,x73163)+~P21(x73161,x73162,x73164)+~P107(f316(f316(f224(f905(f897(x73161),a895)),x73163),x73164))
% 163.96/163.65 [7452]~P62(x74521)+E(f316(f316(f29(x74521),f316(f316(f233(x74521),x74522),x74523)),f316(f316(f233(x74521),x74524),x74523)),f316(f316(f233(x74521),f316(f316(f29(x74521),x74522),x74524)),x74523))+~P107(f316(f316(f276(x74521),x74524),x74522))
% 163.96/163.65 [7684]~P76(x76841)+E(f316(f316(f74(x76841),f316(x76842,x76843)),f316(f316(f6(a898,x76841),x76842),f316(f291(a898,f316(a102,x76843)),x76844))),f316(f316(f6(a898,x76841),x76842),f316(f291(a898,x76843),x76844)))+~P107(f316(f316(f225(a898),x76843),x76844))
% 163.96/163.65 [7702]E(x77021,x77022)+P107(f316(f316(f162(x77023),x77024),x77022))+~P107(f316(f316(f162(x77023),f316(f316(f141(x77023),x77021),x77024)),x77022))
% 163.96/163.65 [7714]~P108(x77141)+P107(f316(f316(f224(x77141),x77142),x77143))+~P107(f316(f316(f224(x77141),f316(f316(f223(x77141),x77144),x77142)),x77143))
% 163.96/163.65 [7716]~P108(x77161)+P107(f316(f316(f224(x77161),x77162),x77163))+~P107(f316(f316(f224(x77161),f316(f316(f223(x77161),x77162),x77164)),x77163))
% 163.96/163.65 [7718]~P83(x77181)+P107(f316(f316(f224(x77181),x77182),x77183))+~P107(f316(f316(f224(x77181),f316(f316(f100(x77181),x77184),x77182)),x77183))
% 163.96/163.65 [7720]~P83(x77201)+P107(f316(f316(f224(x77201),x77202),x77203))+~P107(f316(f316(f224(x77201),f316(f316(f100(x77201),x77202),x77204)),x77203))
% 163.96/163.65 [7721]~P108(x77211)+P107(f316(f316(f225(x77211),x77212),x77213))+~P107(f316(f316(f225(x77211),f316(f316(f223(x77211),x77214),x77212)),x77213))
% 163.96/163.65 [7722]~P108(x77221)+P107(f316(f316(f225(x77221),x77222),x77223))+~P107(f316(f316(f225(x77221),f316(f316(f223(x77221),x77222),x77224)),x77223))
% 163.96/163.65 [7723]~P117(x77231)+P107(f316(f316(f276(x77231),x77232),x77233))+~P107(f316(f316(f276(x77231),f316(f316(f75(x77231),x77234),x77232)),x77233))
% 163.96/163.65 [7724]~P117(x77241)+P107(f316(f316(f276(x77241),x77242),x77243))+~P107(f316(f316(f276(x77241),f316(f316(f75(x77241),x77242),x77244)),x77243))
% 163.96/163.65 [7800]~P107(f316(f316(f318(x78001),x78002),x78004))+P107(f316(f316(f318(x78001),x78002),x78003))+P107(f316(f316(f318(x78001),x78002),f316(f316(f23(f905(x78001,a895)),x78004),x78003)))
% 163.96/163.65 [7884]P107(f316(x78841,x78842))+P107(f316(x78843,x78842))+~P107(f316(f316(f316(f100(f905(x78844,a895)),x78843),x78841),x78842))
% 163.96/163.65 [7895]~P107(f316(f316(f318(x78951),x78952),x78954))+~P107(f316(f316(f318(x78951),x78952),x78953))+P107(f316(f316(f318(x78951),x78952),f316(f316(f91(f905(x78951,a895)),x78953),x78954)))
% 163.96/163.65 [7944]~P83(x79441)+~P107(f316(f54(x79441),x79444))+E(f316(f316(f57(x79441,x79441,f100(x79441)),x79442),f316(f316(f298(x79441),x79443),x79444)),f316(f316(f100(x79441),x79443),f316(f316(f57(x79441,x79441,f100(x79441)),x79442),x79444)))
% 163.96/163.65 [7945]~P103(x79451)+~P107(f316(f54(x79451),x79454))+E(f316(f316(f57(x79451,x79451,f91(x79451)),x79452),f316(f316(f298(x79451),x79453),x79454)),f316(f316(f91(x79451),x79453),f316(f316(f57(x79451,x79451,f91(x79451)),x79452),x79454)))
% 163.96/163.65 [7946]~P108(x79461)+~P107(f316(f54(x79461),x79464))+E(f316(f316(f57(x79461,x79461,f222(x79461)),x79462),f316(f316(f298(x79461),x79463),x79464)),f316(f316(f222(x79461),x79463),f316(f316(f57(x79461,x79461,f222(x79461)),x79462),x79464)))
% 163.96/163.65 [7947]~P108(x79471)+~P107(f316(f54(x79471),x79474))+E(f316(f316(f57(x79471,x79471,f223(x79471)),x79472),f316(f316(f298(x79471),x79473),x79474)),f316(f316(f223(x79471),x79473),f316(f316(f57(x79471,x79471,f223(x79471)),x79472),x79474)))
% 163.96/163.65 [7949]~P122(x79491)+~P97(x79491)+E(f316(f316(f23(x79491),f316(f316(f75(x79491),f316(f93(x79491),x79492)),x79493)),f316(f316(f75(x79491),f316(f93(x79491),x79492)),x79494)),f316(f316(f75(x79491),f316(f93(x79491),x79492)),f316(f316(f23(x79491),x79493),x79494)))
% 163.96/163.65 [7950]~P143(x79501)+~P97(x79501)+E(f316(f316(f74(x79501),f316(f316(f75(x79501),f316(f93(x79501),x79502)),x79503)),f316(f316(f75(x79501),f316(f93(x79501),x79502)),x79504)),f316(f316(f75(x79501),f316(f93(x79501),x79502)),f316(f316(f74(x79501),x79503),x79504)))
% 163.96/163.65 [8066]E(x80661,x80662)+P107(f316(f316(f318(x80663),x80661),f316(f162(x80663),x80664)))+~P107(f316(f316(f318(x80663),x80661),f316(f162(x80663),f316(f316(f141(x80663),x80662),x80664))))
% 163.96/163.65 [8238]P51(x82381,x82382,x82383)+~P51(x82381,x82382,x82384)+~P107(f316(f316(f224(f905(f904(x82381,x82382),a895)),x82383),x82384))
% 163.96/163.65 [8285]P107(f316(f316(f318(x82851),x82852),x82853))+P107(f316(f316(f318(x82851),x82852),x82854))+~P107(f316(f316(f318(x82851),x82852),f316(f316(f100(f905(x82851,a895)),x82854),x82853)))
% 163.96/163.65 [8295]~P52(x82951,x82954,x82953)+~P107(f316(f316(f318(x82951),x82952),x82954))+P107(f316(f316(f318(f904(x82951,x82951)),f316(f316(f241(x82951,x82951),x82952),x82952)),x82953))
% 163.96/163.65 [8307]~P107(f316(f54(x83072),x83074))+~P107(f316(f54(x83071),x83073))+P107(f316(f54(f904(x83071,x83072)),f316(f316(f243(x83071,x83072),x83073),f316(f16(f905(x83072,a895),x83071),x83074))))
% 163.96/163.65 [8308]~P107(f316(f316(f318(x83081),x83082),x83084))+~P107(f316(f316(f224(f905(x83081,a895)),x83083),x83084))+P107(f316(f316(f224(f905(x83081,a895)),f316(f316(f298(x83081),x83082),x83083)),x83084))
% 163.96/163.65 [8315]~P72(x83152)+~P146(x83152)+E(f316(f316(f9(x83151,x83152),f316(f316(f8(a898,x83152,x83151),f90(x83152)),x83153)),x83154),f316(f90(x83152),f316(f316(f9(x83151,a898),x83153),x83154)))
% 163.96/163.65 [8316]~P72(x83162)+~P141(x83162)+E(f316(f316(f9(x83161,x83162),f316(f316(f8(a1,x83162,x83161),f92(x83162)),x83163)),x83164),f316(f92(x83162),f316(f316(f9(x83161,a1),x83163),x83164)))
% 163.96/163.65 [8340]E(f316(f316(f23(f905(x83401,a895)),x83402),f316(f316(f23(f905(x83401,a895)),x83403),x83404)),x83404)+~P107(f316(f316(f224(f905(x83401,a895)),x83402),x83403))+~P107(f316(f316(f224(f905(x83401,a895)),x83404),x83402))
% 163.96/163.65 [8437]~P107(f316(f54(x84371),x84374))+E(f316(f316(f23(a898),f316(f316(f6(x84371,a898),x84372),x84373)),f316(f316(f6(x84371,a898),x84372),x84374)),f316(f316(f6(x84371,a898),x84372),f316(f316(f23(f905(x84371,a895)),x84373),x84374)))+~P107(f316(f316(f224(f905(x84371,a895)),x84374),x84373))
% 163.96/163.65 [8588]~P5(x85881,x85884,x85883)+~P107(f316(f316(f318(x85881),x85882),x85884))+P107(f316(f316(f318(x85881),x85882),f316(f274(x85881,x85881,x85883),f316(f316(f298(x85881),x85882),f178(f905(x85881,a895))))))
% 163.96/163.65 [8648]~P107(f316(f316(f224(f905(x86481,a895)),x86482),x86483))+~P107(f316(f316(f224(f905(x86481,a895)),x86482),x86484))+P107(f316(f316(f224(f905(x86481,a895)),x86482),f316(f316(f91(f905(x86481,a895)),x86483),x86484)))
% 163.96/163.65 [8754]E(x87541,f178(f905(x87542,a895)))+P107(f316(f54(x87543),x87544))+~P107(f316(f54(f904(x87543,x87542)),f316(f316(f243(x87543,x87542),x87544),f316(f16(f905(x87542,a895),x87543),x87541))))
% 163.96/163.65 [8755]E(x87551,f178(f905(x87552,a895)))+P107(f316(f54(x87553),x87554))+~P107(f316(f54(f904(x87552,x87553)),f316(f316(f243(x87552,x87553),x87551),f316(f16(f905(x87553,a895),x87552),x87554))))
% 163.96/163.65 [8829]P107(f316(f316(f318(x88291),x88292),f305(x88291,x88293)))+~P107(f316(f316(f318(x88291),x88294),f305(x88291,x88293)))+~P107(f316(f316(f318(f904(x88291,x88291)),f316(f316(f241(x88291,x88291),x88292),x88294)),x88293))
% 163.96/163.65 [8886]~P36(x88861,x88864)+P107(f316(f316(f318(f904(x88861,x88861)),f316(f316(f241(x88861,x88861),x88863),x88862)),f296(x88861,x88864)))+P36(x88861,f316(f316(f298(f904(x88861,x88861)),f316(f316(f241(x88861,x88861),x88862),x88863)),x88864))
% 163.96/163.65 [8887]~P56(x88871,x88874)+P107(f316(f316(f318(f904(x88871,x88871)),f316(f316(f241(x88871,x88871),x88873),x88872)),f296(x88871,x88874)))+P56(x88871,f316(f316(f298(f904(x88871,x88871)),f316(f316(f241(x88871,x88871),x88872),x88873)),x88874))
% 163.96/163.65 [8969]~E(x89692,x89693)+~P107(f316(f316(f318(x89691),x89692),f316(f162(x89691),x89694)))+P107(f316(f316(f318(f904(x89691,x89691)),f316(f316(f241(x89691,x89691),x89692),x89693)),f316(f162(f904(x89691,x89691)),f316(f316(f171(x89691,x89691),x89694),x89694))))
% 163.96/163.65 [9059]~E(x90593,x90594)+P107(f316(f316(f246(x90591,x90591,a895),a313),x90592))+~P107(f316(f316(f318(f904(x90591,x90591)),x90592),f316(f162(f904(x90591,x90591)),f316(f316(f171(x90591,x90591),x90593),x90594))))
% 163.96/163.65 [9105]P107(f316(f316(f318(f904(f899(x91051),f899(x91051))),f316(f316(f241(f899(x91051),f899(x91051)),x91052),x91053)),f137(x91051,x91054)))+~E(f316(f316(f165(x91051),f316(f179(f899(x91051)),x91052)),x91053),x91052)+~P107(f316(f316(f225(a898),f316(f179(f899(x91051)),x91052)),f316(f179(f899(x91051)),x91053)))
% 163.96/163.65 [9108]~P50(x91081,x91084)+~P107(f316(f316(f318(f904(x91081,x91081)),f316(f316(f241(x91081,x91081),x91083),x91082)),x91084))+P107(f316(f316(f318(f904(x91081,x91081)),f316(f316(f241(x91081,x91081),x91082),x91083)),x91084))
% 163.96/163.65 [9199]~P107(f316(f54(x91991),x91994))+P107(f316(f316(f318(x91991),f342(x91992,x91993,x91994,x91991)),x91994))+P107(f316(f54(x91993),f316(f316(f33(x91991,f905(x91993,a895)),x91994),x91992)))
% 163.96/163.65 [9200]~P107(f316(f54(x92001),x92004))+P107(f316(f316(f318(x92001),f576(x92002,x92003,x92004,x92001)),x92004))+P107(f316(f54(x92003),f316(f316(f33(x92001,f905(x92003,a895)),x92004),x92002)))
% 163.96/163.65 [9285]P107(f316(f316(f318(f904(x92851,x92851)),x92852),f316(f316(f278(x92851,x92851,x92851),x92853),f296(x92851,x92853))))+~P107(f316(f316(f225(a898),f2(a898)),x92854))+~P107(f316(f316(f318(f904(x92851,x92851)),x92852),f316(f316(f173(f904(x92851,x92851),a895),x92854),x92853)))
% 163.96/163.65 [9293]~P36(x92931,x92932)+~P107(f316(f316(f318(f904(x92931,x92931)),f316(f316(f241(x92931,x92931),x92934),x92933)),x92932))+~P107(f316(f316(f318(f904(x92931,x92931)),f316(f316(f241(x92931,x92931),x92933),x92934)),x92932))
% 163.96/163.65 [9420]~P107(f316(f54(x94201),x94204))+E(f316(f316(f6(x94201,a898),f316(f316(f8(f905(x94202,a895),a898,x94201),f28(x94202)),x94203)),x94204),f316(f28(f904(x94201,x94202)),f316(f316(f243(x94201,x94202),x94204),x94203)))+P107(f316(f316(f318(x94201),f535(x94203,x94202,x94204,x94201)),x94204))
% 163.96/163.65 [9424]~P107(f316(f127(x94241),x94242))+P107(f316(f127(x94241),f316(f316(f149(x94241,x94242),x94243),x94244)))+P107(f316(f316(f318(x94241),x94244),f316(f316(f23(f905(x94241,a895)),f316(f162(x94241),x94242)),f316(f316(f298(x94241),f316(f316(f154(x94241),x94242),x94243)),f178(f905(x94241,a895))))))
% 163.96/163.65 [9441]~P107(f316(f54(x94412),x94413))+~P107(f316(f54(x94411),f316(x94414,f342(x94414,x94411,x94413,x94412))))+P107(f316(f54(x94411),f316(f316(f33(x94412,f905(x94411,a895)),x94413),x94414)))
% 163.96/163.65 [9442]~P107(f316(f54(x94422),x94423))+~P107(f316(f54(x94421),f316(x94424,f576(x94424,x94421,x94423,x94422))))+P107(f316(f54(x94421),f316(f316(f33(x94422,f905(x94421,a895)),x94423),x94424)))
% 163.96/163.65 [9520]~P107(f316(f316(f318(f904(x95201,x95201)),x95202),f316(f316(f278(x95201,x95201,x95201),x95204),f296(x95201,x95204))))+P107(f316(f316(f318(f904(x95201,x95201)),x95202),f316(f316(f278(x95201,x95201,x95201),x95203),f296(x95201,x95203))))+~P107(f316(f316(f224(f905(f904(x95201,x95201),a895)),x95204),x95203))
% 163.96/163.65 [9528]E(f316(f316(f165(x95281),f652(x95284,x95283,x95282,x95281)),x95283),f316(f316(f165(x95281),f652(x95284,x95283,x95282,x95281)),x95282))+~P107(f316(f316(f318(f904(f899(x95281),f899(x95281))),f316(f316(f241(f899(x95281),f899(x95281)),x95282),x95283)),f137(x95281,x95284)))+E(f316(f316(f165(x95281),f316(f179(f899(x95281)),x95282)),x95283),x95282)
% 163.96/163.65 [9544]~P107(f316(f54(x95441),x95444))+E(f316(f316(f6(x95441,a898),f316(f316(f8(f905(x95442,a895),a898,x95441),f28(x95442)),x95443)),x95444),f316(f28(f904(x95441,x95442)),f316(f316(f243(x95441,x95442),x95444),x95443)))+~P107(f316(f54(x95442),f316(x95443,f535(x95443,x95442,x95444,x95441))))
% 163.96/163.65 [9548]~E(f316(f179(f899(x95481)),x95483),f316(f179(f899(x95481)),x95482))+P107(f316(f316(f318(f904(f899(x95481),f899(x95481))),f316(f316(f241(f899(x95481),f899(x95481)),x95482),x95483)),f148(x95481,x95484)))+P107(f316(f316(f318(f904(x95481,x95481)),f657(x95484,x95483,x95482,x95481)),f316(f162(f904(x95481,x95481)),f316(f316(f171(x95481,x95481),x95482),x95483))))
% 163.96/163.65 [9637]~P107(f316(f316(f318(f904(f899(x96371),f899(x96371))),f316(f316(f241(f899(x96371),f899(x96371)),x96372),x96373)),f137(x96371,x96374)))+E(f316(f316(f165(x96371),f316(f179(f899(x96371)),x96372)),x96373),x96372)+P107(f316(f316(f225(a898),f652(x96374,x96373,x96372,x96371)),f316(f316(f222(a898),f316(f179(f899(x96371)),x96372)),f316(f179(f899(x96371)),x96373))))
% 163.96/163.65 [9661]~P107(f316(f316(f318(f904(f899(x96611),f899(x96611))),f316(f316(f241(f899(x96611),f899(x96611)),x96612),x96613)),f137(x96611,x96614)))+P107(f316(f316(f225(a898),f316(f179(f899(x96611)),x96612)),f316(f179(f899(x96611)),x96613)))+P107(f316(f316(f225(a898),f652(x96614,x96613,x96612,x96611)),f316(f316(f222(a898),f316(f179(f899(x96611)),x96612)),f316(f179(f899(x96611)),x96613))))
% 163.96/163.65 [10065]~P107(f316(f316(f318(f904(f899(x100651),f899(x100651))),f316(f316(f241(f899(x100651),f899(x100651)),x100652),x100653)),f137(x100651,x100654)))+E(f316(f316(f165(x100651),f316(f179(f899(x100651)),x100652)),x100653),x100652)+P107(f316(f316(f318(f904(x100651,x100651)),f316(f316(f241(x100651,x100651),f316(f316(f154(x100651),x100652),f652(x100654,x100653,x100652,x100651))),f316(f316(f154(x100651),x100653),f652(x100654,x100653,x100652,x100651)))),x100654))
% 163.96/163.65 [10066]~P107(f316(f316(f318(f904(f899(x100661),f899(x100661))),f316(f316(f241(f899(x100661),f899(x100661)),x100662),x100663)),f137(x100661,x100664)))+P107(f316(f316(f225(a898),f316(f179(f899(x100661)),x100662)),f316(f179(f899(x100661)),x100663)))+P107(f316(f316(f318(f904(x100661,x100661)),f316(f316(f241(x100661,x100661),f316(f316(f154(x100661),x100662),f652(x100664,x100663,x100662,x100661))),f316(f316(f154(x100661),x100663),f652(x100664,x100663,x100662,x100661)))),x100664))
% 163.96/163.65 [10135]~E(f316(f179(f899(x101351)),x101352),f316(f179(f899(x101351)),x101353))+P107(f316(f316(f318(f904(f899(x101351),f899(x101351))),f316(f316(f241(f899(x101351),f899(x101351)),x101352),x101353)),f148(x101351,x101354)))+~P107(f316(f316(f318(f904(x101351,x101351)),f316(f316(f241(x101351,x101351),f316(f316(f154(x101351),x101352),f644(x101354,x101353,x101352,x101351))),f316(f316(f154(x101351),x101353),f644(x101354,x101353,x101352,x101351)))),x101354))
% 163.96/163.65 [10283]~P76(x102831)+~P107(f316(f54(x102832),x102834))+E(f316(f155(x102831),f316(f316(f144(x102832,x102831),x102833),f84(f899(x102832),f316(f316(f18(f899(x102832),a895,a895),f316(f316(f8(a895,f905(a895,a895),f899(x102832)),a314),f316(f316(f7(f899(x102832),f905(x102832,a895),a895),f316(f316(f8(f905(x102832,a895),f905(f905(x102832,a895),a895),f899(x102832)),a313),f162(x102832))),x102834))),f127(x102832))))),f221(x102832,x102831,x102833,x102834))
% 163.96/163.65 [7533]~P65(x75332)+E(x75331,f2(x75332))+E(f316(f316(f280(x75332),f316(f316(f74(x75332),x75333),f316(f316(f75(x75332),x75334),x75331))),x75331),f316(f316(f74(x75332),x75334),f316(f316(f280(x75332),x75333),x75331)))
% 163.96/163.65 [7534]~P62(x75342)+E(x75341,f2(x75342))+E(f316(f316(f29(x75342),f316(f316(f74(x75342),x75343),f316(f316(f75(x75342),x75344),x75341))),x75341),f316(f316(f74(x75342),x75344),f316(f316(f29(x75342),x75343),x75341)))
% 163.96/163.65 [7535]~P62(x75352)+E(x75351,f2(x75352))+E(f316(f316(f29(x75352),f316(f316(f74(x75352),x75353),f316(f316(f75(x75352),x75351),x75354))),x75351),f316(f316(f74(x75352),x75354),f316(f316(f29(x75352),x75353),x75351)))
% 163.96/163.65 [7763]~P66(x77632)+E(x77631,f2(x77632))+E(f316(f316(f280(x77632),f316(f316(f23(x77632),x77633),f316(f316(f75(x77632),x77631),x77634))),x77631),f316(f316(f23(x77632),f316(f316(f280(x77632),x77633),x77631)),x77634))
% 163.96/163.65 [7764]~P65(x77642)+E(x77641,f2(x77642))+E(f316(f316(f280(x77642),f316(f316(f74(x77642),x77643),f316(f316(f75(x77642),x77644),x77641))),x77641),f316(f316(f74(x77642),f316(f316(f280(x77642),x77643),x77641)),x77644))
% 163.96/163.65 [7765]~P66(x77652)+E(x77651,f2(x77652))+E(f316(f316(f280(x77652),f316(f316(f74(x77652),x77653),f316(f316(f75(x77652),x77651),x77654))),x77651),f316(f316(f74(x77652),f316(f316(f280(x77652),x77653),x77651)),x77654))
% 163.96/163.65 [8469]~P107(f316(f150(x84691,x84693),x84694))+~P107(f316(f150(x84691,x84692),x84694))+P107(f316(f150(x84691,f316(f316(f91(f905(x84691,a895)),x84692),x84693)),x84694))
% 163.96/163.65 [8844]~E(f316(f316(f278(x88441,x88441,x88441),x88442),x88444),f178(f905(f904(x88441,x88441),a895)))+~E(f316(f316(f278(x88441,x88441,x88441),x88442),x88443),f178(f905(f904(x88441,x88441),a895)))+E(f316(f316(f278(x88441,x88441,x88441),x88442),f316(f316(f100(f905(f904(x88441,x88441),a895)),x88443),x88444)),f178(f905(f904(x88441,x88441),a895)))
% 163.96/163.65 [8970]~P107(f316(f316(f224(f905(x89701,a895)),x89703),x89704))+~P107(f316(f316(f224(f905(x89701,a895)),x89702),x89704))+P107(f316(f316(f224(f905(x89701,a895)),f316(f316(f100(f905(x89701,a895)),x89702),x89703)),x89704))
% 163.96/163.65 [9347]~P107(f316(f54(x93471),x93474))+~P107(f316(f54(x93471),x93473))+E(f316(f316(f23(a898),f316(f316(f74(a898),f316(f316(f6(x93471,a898),x93472),x93473)),f316(f316(f6(x93471,a898),x93472),x93474))),f316(f316(f6(x93471,a898),x93472),f316(f316(f91(f905(x93471,a895)),x93473),x93474))),f316(f316(f6(x93471,a898),x93472),f316(f316(f100(f905(x93471,a895)),x93473),x93474)))
% 163.96/163.65 [9438]~P107(f316(f316(f318(x94381),x94383),x94382))+~P107(f316(f316(f224(f905(x94381,a895)),x94382),f316(f316(f298(x94381),x94383),x94384)))+P107(f316(f316(f224(f905(x94381,a895)),f316(f316(f23(f905(x94381,a895)),x94382),f316(f316(f298(x94381),x94383),f178(f905(x94381,a895))))),x94384))
% 163.96/163.65 [9612]~P107(f316(f316(f318(x96121),x96123),x96122))+P107(f316(f316(f224(f905(x96121,a895)),x96122),f316(f316(f298(x96121),x96123),x96124)))+~P107(f316(f316(f224(f905(x96121,a895)),f316(f316(f23(f905(x96121,a895)),x96122),f316(f316(f298(x96121),x96123),f178(f905(x96121,a895))))),x96124))
% 163.96/163.65 [9701]~P107(f316(f316(f224(a898),x97011),x97013))+~P107(f316(f316(f225(a898),x97012),x97014))+P107(f316(f316(f318(f904(f904(a898,a898),f904(a898,a898))),f316(f316(f241(f904(a898,a898),f904(a898,a898)),f316(f316(f241(a898,a898),x97011),x97012)),f316(f316(f241(a898,a898),x97013),x97014))),a26))
% 163.96/163.65 [9702]~P107(f316(f316(f224(a898),x97022),x97024))+~P107(f316(f316(f224(a898),x97021),x97023))+P107(f316(f316(f318(f904(f904(a898,a898),f904(a898,a898))),f316(f316(f241(f904(a898,a898),f904(a898,a898)),f316(f316(f241(a898,a898),x97021),x97022)),f316(f316(f241(a898,a898),x97023),x97024))),a64))
% 163.96/163.65 [9996]~P107(f316(f316(f318(f899(x99961)),x99964),f151(x99961,x99963)))+~P107(f316(f316(f318(f899(x99961)),x99964),f151(x99961,x99962)))+P107(f316(f150(x99961,f316(f316(f91(f905(x99961,a895)),f316(f316(f7(x99961,f905(x99961,a895),a895),f318(x99961)),x99962)),f316(f316(f7(x99961,f905(x99961,a895),a895),f318(x99961)),x99963))),x99964))
% 163.96/163.65 [10101]~P22(x101011,f905(f905(x101011,a895),a895),f316(f316(f7(x101011,f905(f904(x101011,x101011),a895),f905(f905(x101011,a895),a895)),f316(f316(f8(f905(x101011,a895),f905(f905(f904(x101011,x101011),a895),f905(f905(x101011,a895),a895)),x101011),f53(x101011)),f316(f316(f7(x101011,f905(x101011,a895),f905(x101011,a895)),f298(x101011)),f178(f905(x101011,a895))))),x101013),x101012)+~P107(f316(f316(f318(x101011),x101014),x101012))+E(f316(f316(f23(f905(f905(x101011,a895),a895)),f316(f316(f53(x101011),x101012),x101013)),f316(f316(f53(x101011),f316(f316(f298(x101011),x101014),f178(f905(x101011,a895)))),x101013)),f316(f316(f53(x101011),f316(f316(f23(f905(x101011,a895)),x101012),f316(f316(f298(x101011),x101014),f178(f905(x101011,a895))))),x101013))
% 163.96/163.65 [10237]~P52(x102371,x102372,x102374)+~P107(f316(f316(f318(f904(x102371,x102371)),x102373),x102374))+P107(f316(f316(f246(x102371,x102371,a895),f316(f316(f7(x102371,f905(x102371,a895),f905(x102371,a895)),f316(f316(f8(f905(a895,a895),f905(f905(x102371,a895),f905(x102371,a895)),x102371),f8(a895,a895,x102371)),f316(f316(f8(a895,f905(a895,a895),x102371),a314),f316(f316(f7(x102371,f905(x102371,a895),a895),f318(x102371)),x102372)))),f316(f316(f7(x102371,f905(x102371,a895),a895),f318(x102371)),x102372))),x102373))
% 163.96/163.65 [10249]P107(f316(f54(x102491),x102492))+~P107(f316(f54(x102493),f316(f299(x102491,x102493,x102494),x102492)))+~P107(f316(f54(x102491),f316(f251(x102491),f316(f316(f18(x102491,a895,a895),f316(f316(f8(a895,f905(a895,a895),x102491),a314),f316(f316(f7(x102491,f905(x102491,a895),a895),f318(x102491)),x102492))),f316(f316(f7(x102491,x102493,a895),f316(f316(f8(x102493,f905(x102493,a895),x102491),a313),x102494)),f316(x102494,f567(x102494,x102493,x102492,x102491)))))))
% 163.96/163.65 [8222]~P66(x82222)+E(x82221,f2(x82222))+E(f316(f316(f280(x82222),f316(f316(f23(x82222),f316(f316(f75(x82222),x82221),x82223)),x82224)),x82221),f316(f316(f23(x82222),x82223),f316(f316(f280(x82222),x82224),x82221)))
% 163.96/163.65 [8223]~P66(x82232)+E(x82231,f2(x82232))+E(f316(f316(f280(x82232),f316(f316(f74(x82232),f316(f316(f75(x82232),x82231),x82233)),x82234)),x82231),f316(f316(f74(x82232),x82233),f316(f316(f280(x82232),x82234),x82231)))
% 163.96/163.65 [9134]~E(f316(f316(f278(x91341,x91341,x91341),x91343),x91344),f178(f905(f904(x91341,x91341),a895)))+~E(f316(f316(f278(x91341,x91341,x91341),x91342),x91344),f178(f905(f904(x91341,x91341),a895)))+E(f316(f316(f278(x91341,x91341,x91341),f316(f316(f100(f905(f904(x91341,x91341),a895)),x91342),x91343)),x91344),f178(f905(f904(x91341,x91341),a895)))
% 163.96/163.65 [9912]~P107(f316(f150(x99121,x99123),x99124))+~P107(f316(f150(x99121,x99122),x99124))+P107(f316(f150(x99121,f316(f316(f18(x99121,a895,a895),f316(f316(f8(a895,f905(a895,a895),x99121),a314),x99122)),x99123)),x99124))
% 163.96/163.65 [10175]P107(f316(x101751,f375(x101752,x101753,x101751,x101754)))+~P107(f316(f54(x101754),f316(f251(x101754),x101751)))+P107(f316(f54(x101753),f316(f251(x101753),f316(f316(f8(f905(x101754,a895),a895,x101753),f81(x101754)),f316(f316(f8(f905(x101754,a895),f905(x101754,a895),x101753),f316(f18(x101754,a895,a895),f316(f316(f8(a895,f905(a895,a895),x101754),a314),x101751))),x101752)))))
% 163.96/163.65 [10193]~P107(f316(f54(x101932),f316(f251(x101932),x101933)))+~P107(f316(f54(x101931),f316(f251(x101931),f316(f316(f7(x101931,x101932,a895),x101934),f375(x101934,x101931,x101933,x101932)))))+P107(f316(f54(x101931),f316(f251(x101931),f316(f316(f8(f905(x101932,a895),a895,x101931),f81(x101932)),f316(f316(f8(f905(x101932,a895),f905(x101932,a895),x101931),f316(f18(x101932,a895,a895),f316(f316(f8(a895,f905(a895,a895),x101932),a314),x101933))),x101934)))))
% 163.96/163.65 [10262]~P107(f316(f54(x102621),x102624))+P107(f316(f316(f318(x102621),f788(x102622,x102623,x102624,x102621)),x102624))+P107(f316(f54(x102623),f316(f251(x102623),f316(f316(f8(f905(x102621,a895),a895,x102623),f81(x102621)),f316(f316(f8(f905(x102621,a895),f905(x102621,a895),x102623),f316(f18(x102621,a895,a895),f316(f316(f8(a895,f905(a895,a895),x102621),a314),f316(f316(f7(x102621,f905(x102621,a895),a895),f318(x102621)),x102624)))),x102622)))))
% 163.96/163.65 [10268]~P107(f316(f54(x102682),x102683))+~P107(f316(f54(x102681),f316(f251(x102681),f316(f316(f7(x102681,x102682,a895),x102684),f788(x102684,x102681,x102683,x102682)))))+P107(f316(f54(x102681),f316(f251(x102681),f316(f316(f8(f905(x102682,a895),a895,x102681),f81(x102682)),f316(f316(f8(f905(x102682,a895),f905(x102682,a895),x102681),f316(f18(x102682,a895,a895),f316(f316(f8(a895,f905(a895,a895),x102682),a314),f316(f316(f7(x102682,f905(x102682,a895),a895),f318(x102682)),x102683)))),x102684)))))
% 163.96/163.65 [5119]~E(x51192,x51194)+E(f159(x51191,x51192,x51193),f159(x51191,x51194,x51195))+~E(x51192,f2(a898))
% 163.96/163.65 [5366]E(x53661,x53662)+~E(f159(x53664,x53663,x53661),f159(x53664,x53665,x53662))+E(x53663,f2(a898))
% 163.96/163.65 [6656]E(x66561,x66562)+~E(f316(x66563,x66561),f316(x66563,x66562))+~P22(x66564,x66565,x66563,f231(f905(x66564,a895)))
% 163.96/163.65 [7565]E(x75651,x75652)+~P22(x75653,x75654,x75655,f231(f905(x75653,a895)))+~E(f316(f299(x75653,x75654,x75655),x75651),f316(f299(x75653,x75654,x75655),x75652))
% 163.96/163.65 [7818]P22(x78182,x78183,f867(x78184,x78183,x78182,x78181),x78181)+~E(f316(f299(x78183,x78182,x78185),x78184),x78181)+E(x78181,f178(f905(x78182,a895)))
% 163.96/163.65 [8351]~P107(f316(f316(x83513,x83512),x83515))+~P107(f316(f316(x83513,x83514),x83512))+P107(f316(f316(f318(x83511),x83512),f279(x83511,x83513,x83514,x83515)))
% 163.96/163.65 [8352]~P107(f316(f316(x83523,x83522),x83525))+~P107(f316(f316(x83523,x83524),x83522))+P107(f316(f316(f318(x83521),x83522),f288(x83521,x83523,x83524,x83525)))
% 163.96/163.65 [8375]P27(x83751,x83752,x83753,x83754,x83755)+~P107(f316(x83753,x83755))+~P107(f316(f316(x83752,x83754),x83755))
% 163.96/163.65 [8656]~P22(x86561,x86562,x86563,x86564)+P23(x86561,x86562,x86563,x86564,x86565)+~E(f316(f299(x86561,x86562,x86563),x86564),x86565)
% 163.96/163.65 [8794]~P23(x87941,x87943,x87944,x87942,x87945)+~P107(f316(f54(x87943),x87945))+P107(f316(f54(x87941),x87942))
% 163.96/163.65 [8795]~P23(x87953,x87951,x87954,x87955,x87952)+~P107(f316(f54(x87953),x87955))+P107(f316(f54(x87951),x87952))
% 163.96/163.65 [8927]~P22(x89271,x89273,x89275,f231(f905(x89271,a895)))+~P22(x89273,x89272,x89274,f231(f905(x89273,a895)))+P22(x89271,x89272,f316(f66(x89273,x89272,x89271,x89274),x89275),f231(f905(x89271,a895)))
% 163.96/163.65 [9497]P107(f316(f316(f318(f904(x94971,x94971)),f316(f316(f241(x94971,x94971),x94972),x94973)),f296(x94971,x94974)))+~P107(f316(f316(f318(f904(x94971,x94971)),f316(f316(f241(x94971,x94971),x94972),x94975)),f296(x94971,x94974)))+~P107(f316(f316(f318(f904(x94971,x94971)),f316(f316(f241(x94971,x94971),x94975),x94973)),f296(x94971,x94974)))
% 163.96/163.65 [9535]~P108(x95352)+~P107(f316(f127(x95351),x95355))+P107(f316(f127(x95351),f139(x95351,x95352,x95353,x95354,x95355)))
% 163.96/163.65 [5442]~E(x54422,f103(x54421))+E(f316(f316(f124(x54421),x54422),x54423),f316(f316(f141(x54421),x54424),x54425))+~E(x54423,f316(f316(f141(x54421),x54424),x54425))
% 163.96/163.65 [5443]~E(x54432,f103(x54431))+E(f316(f316(f124(x54431),x54432),x54433),f316(f316(f141(x54431),x54434),x54435))+~E(f316(f316(f141(x54431),x54434),x54435),x54433)
% 163.96/163.65 [6612]~E(f316(f179(f899(x66121)),x66125),f316(f179(f899(x66122)),x66124))+E(f316(f316(f144(f904(x66121,x66122),x66122),f245(x66121,x66122)),x66123),x66124)+~E(f316(f316(f171(x66121,x66122),x66125),x66124),x66123)
% 163.96/163.65 [6613]~E(f316(f179(f899(x66131)),x66134),f316(f179(f899(x66132)),x66135))+E(f316(f316(f144(f904(x66131,x66132),x66131),f240(x66131,x66132)),x66133),x66134)+~E(f316(f316(f171(x66131,x66132),x66134),x66135),x66133)
% 163.96/163.65 [7099]~P108(x70991)+~P10(x70991,f316(f316(f144(x70992,x70991),x70993),x70995))+P10(x70991,f316(f316(f144(x70992,x70991),x70993),f316(f126(x70992,x70994),x70995)))
% 163.96/163.65 [7242]~P108(x72421)+P10(x72421,f316(f316(f144(x72422,x72421),x72423),f160(x72422,x72424,x72425)))+~P10(x72421,f316(f316(f144(x72422,x72421),x72423),x72425))
% 163.96/163.65 [7265]~P51(x72653,x72652,x72655)+~P51(x72651,x72653,x72654)+P51(x72651,x72652,f316(f316(f278(x72651,x72653,x72652),x72654),x72655))
% 163.96/163.65 [7362]E(x73621,x73622)+~P22(x73623,x73624,x73625,f231(f905(x73623,a895)))+~E(f316(f316(f144(x73623,x73624),x73625),x73621),f316(f316(f144(x73623,x73624),x73625),x73622))
% 163.96/163.65 [7520]~P107(f316(f316(f224(a898),x75201),f316(x75203,x75205)))+P107(f316(f316(f224(a898),x75201),f145(x75202,x75203,x75204)))+~P107(f316(f316(f318(x75202),x75205),f316(f162(x75202),x75204)))
% 163.96/163.65 [7521]~P107(f316(f316(f225(a898),x75211),f316(x75213,x75215)))+P107(f316(f316(f225(a898),x75211),f145(x75212,x75213,x75214)))+~P107(f316(f316(f318(x75212),x75215),f316(f162(x75212),x75214)))
% 163.96/163.65 [7914]P107(f316(x79141,x79142))+~P107(f316(x79141,x79143))+~P107(f316(f316(f318(x79144),x79142),f316(f162(x79144),f159(x79144,x79145,x79143))))
% 163.96/163.65 [7915]P107(f316(x79151,x79152))+~P107(f316(x79151,x79153))+~P107(f316(f316(f318(x79154),x79153),f316(f162(x79154),f159(x79154,x79155,x79152))))
% 163.96/163.65 [7921]~P111(x79211)+P107(f316(f316(f224(f905(x79211,a895)),f292(x79211,x79212,x79213)),f292(x79211,x79214,x79215)))+P107(f316(f316(f224(x79211),x79212),x79213))
% 163.96/163.65 [7942]~P2(x79421)+P107(f316(f316(f224(x79421),f316(f316(f32(x79422,x79421),x79423),x79424)),f316(x79424,x79425)))+~P107(f316(f316(f318(x79422),x79425),x79423))
% 163.96/163.65 [8013]~P22(x80131,x80132,x80134,x80133)+E(f316(f71(x80131,x80132,x80133,x80134),f316(x80134,x80135)),x80135)+~P107(f316(f316(f318(x80131),x80135),x80133))
% 163.96/163.65 [8014]~P22(x80141,x80142,x80144,x80143)+E(f316(f85(x80141,x80142,x80143,x80144),f316(x80144,x80145)),x80145)+~P107(f316(f316(f318(x80141),x80145),x80143))
% 163.96/163.65 [8211]~P107(f316(x82111,x82115))+P107(f316(x82111,f711(x82111,x82112,x82113,x82114)))+~P107(f316(f316(f318(x82114),x82115),x82113))
% 163.96/163.65 [8212]~P107(f316(x82121,x82125))+P107(f316(x82121,f711(x82121,x82122,x82123,x82124)))+~P107(f316(f316(f318(x82124),x82125),x82122))
% 163.96/163.65 [8305]P107(f316(f54(x83051),x83052))+~P107(f316(f54(x83053),x83054))+~P107(f316(f316(f224(f905(x83051,a895)),x83052),f316(f299(x83053,x83051,x83055),x83054)))
% 163.96/163.65 [8473]E(x84731,x84732)+~P22(x84733,x84734,x84735,f316(f316(f100(f905(x84733,a895)),f316(f162(x84733),x84731)),f316(f162(x84733),x84732)))+~E(f316(f316(f144(x84733,x84734),x84735),x84731),f316(f316(f144(x84733,x84734),x84735),x84732))
% 163.96/163.65 [8525]~P111(x85251)+~P107(f316(f316(f225(f905(x85251,a895)),f292(x85251,x85254,x85255)),f292(x85251,x85252,x85253)))+P107(f316(f316(f224(x85251),x85252),x85253))
% 163.96/163.65 [8587]~P22(x85871,x85874,x85875,f231(f905(x85871,a895)))+~P107(f316(f316(f318(x85874),f316(x85875,x85872)),f316(f299(x85871,x85874,x85875),x85873)))+P107(f316(f316(f318(x85871),x85872),x85873))
% 163.96/163.65 [8662]P107(f316(x86621,x86622))+~P107(f316(x86621,f720(x86621,x86623,x86624,x86625)))+~P107(f316(f316(f318(x86625),x86622),x86624))
% 163.96/163.65 [8663]P107(f316(x86631,x86632))+~P107(f316(x86631,f720(x86631,x86633,x86634,x86635)))+~P107(f316(f316(f318(x86635),x86632),x86633))
% 163.96/163.65 [8967]~P22(x89672,x89673,x89671,x89674)+E(f316(x89671,f316(f71(x89672,x89673,x89674,x89671),x89675)),x89675)+~P107(f316(f316(f318(x89673),x89675),f316(f299(x89672,x89673,x89671),x89674)))
% 163.96/163.65 [9074]E(x90741,f103(x90742))+E(f316(f316(f141(x90742),x90743),f673(x90744,x90743,x90745,x90741,x90742)),x90741)+~E(f316(f316(f124(x90742),x90741),x90745),f316(f316(f141(x90742),x90743),x90744))
% 163.96/163.65 [9075]E(x90751,f103(x90752))+E(f316(f316(f141(x90752),x90753),f674(x90754,x90751,x90755,x90753,x90752)),x90751)+~E(f316(f316(f124(x90752),x90751),x90754),f316(f316(f141(x90752),x90753),x90755))
% 163.96/163.65 [9093]E(f316(f316(f141(x90932),x90933),f673(x90934,x90933,x90931,x90935,x90932)),x90935)+~E(f316(f316(f124(x90932),x90935),x90931),f316(f316(f141(x90932),x90933),x90934))+E(x90931,f316(f316(f141(x90932),x90933),x90934))
% 163.96/163.65 [9094]E(f316(f316(f141(x90941),x90942),f674(x90944,x90945,x90943,x90942,x90941)),x90945)+~E(f316(f316(f124(x90941),x90945),x90944),f316(f316(f141(x90941),x90942),x90943))+E(f316(f316(f141(x90941),x90942),x90943),x90944)
% 163.96/163.65 [9170]~E(f316(f299(x91703,x91702,x91704),f231(f905(x91703,a895))),f231(f905(x91702,a895)))+~E(f316(f299(x91701,x91703,x91705),f231(f905(x91701,a895))),f231(f905(x91703,a895)))+E(f316(f299(x91701,x91702,f316(f66(x91703,x91702,x91701,x91704),x91705)),f231(f905(x91701,a895))),f231(f905(x91702,a895)))
% 163.96/163.65 [9541]E(x95411,f103(x95412))+~E(f316(f316(f124(x95412),x95411),x95413),f316(f316(f141(x95412),x95415),x95414))+E(f316(f316(f124(x95412),f674(x95413,x95411,x95414,x95415,x95412)),x95413),x95414)
% 163.96/163.65 [9542]E(x95421,f103(x95422))+~E(f316(f316(f124(x95422),x95421),x95425),f316(f316(f141(x95422),x95424),x95423))+E(f316(f316(f124(x95422),f673(x95423,x95424,x95425,x95421,x95422)),x95425),x95423)
% 163.96/163.65 [9549]E(f316(f316(f124(x95492),f673(x95494,x95493,x95491,x95495,x95492)),x95491),x95494)+~E(f316(f316(f124(x95492),x95495),x95491),f316(f316(f141(x95492),x95493),x95494))+E(x95491,f316(f316(f141(x95492),x95493),x95494))
% 163.96/163.65 [9550]~E(f316(f316(f124(x95501),x95505),x95504),f316(f316(f141(x95501),x95502),x95503))+E(f316(f316(f124(x95501),f674(x95504,x95505,x95503,x95502,x95501)),x95504),x95503)+E(f316(f316(f141(x95501),x95502),x95503),x95504)
% 163.96/163.65 [9551]E(f316(f316(f124(x95511),x95515),f676(x95513,x95512,x95514,x95515,x95511)),x95512)+E(f316(f316(f124(x95511),x95512),f675(x95513,x95512,x95514,x95515,x95511)),x95515)+~E(f316(f316(f124(x95511),x95515),x95514),f316(f316(f124(x95511),x95512),x95513))
% 163.96/163.65 [9588]~P108(x95881)+P10(x95881,f316(f316(f144(x95882,x95881),x95883),f139(x95882,x95881,x95883,x95884,x95885)))+~P10(x95881,f316(f316(f144(x95882,x95881),x95883),x95885))
% 163.96/163.65 [9607]~P57(x96075,x96071,x96074,x96073)+P107(f316(f316(x96071,x96072),f355(x96073,x96074,x96071,x96075,x96072)))+~P107(f316(f316(f318(x96075),x96072),x96074))
% 163.96/163.65 [9608]~P57(x96085,x96081,x96084,x96083)+P107(f316(f316(x96081,x96082),f792(x96083,x96084,x96081,x96085,x96082)))+~P107(f316(f316(f318(x96085),x96082),x96084))
% 163.96/163.65 [9713]~P107(f316(f316(f318(f904(x97131,x97131)),f316(f316(f241(x97131,x97131),x97135),x97133)),f296(x97131,x97134)))+P107(f316(f316(f318(f904(x97131,x97131)),f316(f316(f241(x97131,x97131),x97132),x97133)),f316(f316(f278(x97131,x97131,x97131),x97134),f296(x97131,x97134))))+~P107(f316(f316(f318(f904(x97131,x97131)),f316(f316(f241(x97131,x97131),x97132),x97135)),f316(f316(f278(x97131,x97131,x97131),x97134),f296(x97131,x97134))))
% 163.96/163.65 [9714]~P107(f316(f316(f318(f904(x97141,x97141)),f316(f316(f241(x97141,x97141),x97142),x97145)),f296(x97141,x97144)))+P107(f316(f316(f318(f904(x97141,x97141)),f316(f316(f241(x97141,x97141),x97142),x97143)),f316(f316(f278(x97141,x97141,x97141),x97144),f296(x97141,x97144))))+~P107(f316(f316(f318(f904(x97141,x97141)),f316(f316(f241(x97141,x97141),x97145),x97143)),f316(f316(f278(x97141,x97141,x97141),x97144),f296(x97141,x97144))))
% 163.96/163.65 [9716]P107(f316(f316(f318(f904(f899(x97161),f899(x97161))),f316(f316(f241(f899(x97161),f899(x97161)),x97162),x97163)),f148(x97161,f296(x97161,x97164))))+~P107(f316(f316(f318(f904(f899(x97161),f899(x97161))),f316(f316(f241(f899(x97161),f899(x97161)),x97162),x97165)),f148(x97161,f296(x97161,x97164))))+~P107(f316(f316(f318(f904(f899(x97161),f899(x97161))),f316(f316(f241(f899(x97161),f899(x97161)),x97165),x97163)),f148(x97161,f296(x97161,x97164))))
% 163.96/163.65 [9720]E(f316(f316(f124(x97201),x97202),f675(x97203,x97202,x97204,x97205,x97201)),x97205)+E(f316(f316(f124(x97201),f676(x97203,x97202,x97204,x97205,x97201)),x97203),x97204)+~E(f316(f316(f124(x97201),x97202),x97203),f316(f316(f124(x97201),x97205),x97204))
% 163.96/163.65 [9721]E(f316(f316(f124(x97211),x97212),f676(x97213,x97214,x97215,x97212,x97211)),x97214)+E(f316(f316(f124(x97211),f675(x97213,x97214,x97215,x97212,x97211)),x97215),x97213)+~E(f316(f316(f124(x97211),x97212),x97215),f316(f316(f124(x97211),x97214),x97213))
% 163.96/163.65 [9775]P107(f316(f316(f318(f904(x97751,x97751)),f316(f316(f241(x97751,x97751),x97752),x97753)),f316(f316(f278(x97751,x97751,x97751),x97754),f296(x97751,x97754))))+~P107(f316(f316(f318(f904(x97751,x97751)),f316(f316(f241(x97751,x97751),x97752),x97755)),f316(f316(f278(x97751,x97751,x97751),x97754),f296(x97751,x97754))))+~P107(f316(f316(f318(f904(x97751,x97751)),f316(f316(f241(x97751,x97751),x97755),x97753)),f316(f316(f278(x97751,x97751,x97751),x97754),f296(x97751,x97754))))
% 163.96/163.65 [9802]P33(x98021,x98022,x98023,x98024,x98025)+~E(f316(f179(f899(x98021)),x98024),f316(f179(f899(x98022)),x98025))+~P107(f316(f316(f246(x98021,x98022,a895),x98023),f691(x98025,x98024,x98023,x98022,x98021)))
% 163.96/163.65 [9803]P33(x98031,x98032,x98033,x98034,x98035)+~E(f316(f179(f899(x98031)),x98034),f316(f179(f899(x98032)),x98035))+~P107(f316(f316(f246(x98031,x98032,a895),x98033),f692(x98033,x98035,x98034,x98032,x98031)))
% 163.96/163.65 [9808]E(f316(f316(f124(x98081),f675(x98082,x98083,x98084,x98085,x98081)),x98084),x98082)+~E(f316(f316(f124(x98081),x98083),x98082),f316(f316(f124(x98081),x98085),x98084))+E(f316(f316(f124(x98081),f676(x98082,x98083,x98084,x98085,x98081)),x98082),x98084)
% 163.96/163.65 [9823]~P108(x98232)+E(f316(f316(f138(x98231,x98232,x98233),x98234),x98235),f316(f316(f141(x98231),x98234),x98235))+P107(f316(f316(f318(x98231),f735(x98234,x98233,x98235,x98231,x98232)),f316(f162(x98231),x98235)))
% 163.96/163.65 [9828]~P57(x98281,x98284,x98283,x98282)+~P107(f316(f316(f318(x98281),x98285),x98283))+P107(f316(f316(f318(x98281),f355(x98282,x98283,x98284,x98281,x98285)),x98282))
% 163.96/163.65 [9829]~P57(x98291,x98294,x98293,x98292)+~P107(f316(f316(f318(x98291),x98295),x98293))+P107(f316(f316(f318(x98291),f792(x98292,x98293,x98294,x98291,x98295)),x98292))
% 163.96/163.65 [9945]~P107(f316(f316(f318(f904(f905(x99451,a895),f905(x99451,a895))),f316(f316(f241(f905(x99451,a895),f905(x99451,a895)),x99454),x99453)),f307(x99451,x99452)))+~P107(f316(f316(f318(x99451),x99455),x99454))+P107(f316(f316(f318(x99451),f597(x99452,x99453,x99454,x99451,x99455)),x99453))
% 163.96/163.65 [9955]~P108(x99552)+E(f316(f316(f138(x99551,x99552,x99553),x99554),x99555),f316(f316(f141(x99551),x99554),x99555))+~P107(f316(f316(f224(x99552),f316(x99553,x99554)),f316(x99553,f735(x99554,x99553,x99555,x99551,x99552))))
% 163.96/163.65 [10005]~P22(x100053,x100054,x100055,f231(f905(x100053,a895)))+P107(f316(x100051,x100052))+~P107(f316(x100051,f316(f85(x100053,x100054,f231(f905(x100053,a895)),x100055),f804(x100052,x100051,x100055,x100054,x100053))))
% 163.96/163.65 [10152]P33(x101521,x101522,x101523,x101524,x101525)+~E(f316(f179(f899(x101521)),x101524),f316(f179(f899(x101522)),x101525))+~P107(f316(f316(x101523,f316(f316(f154(x101521),x101524),f693(x101525,x101524,x101523,x101522,x101521))),f316(f316(f154(x101522),x101525),f693(x101525,x101524,x101523,x101522,x101521))))
% 163.96/163.65 [10153]P33(x101531,x101532,x101533,x101534,x101535)+~E(f316(f179(f899(x101531)),x101534),f316(f179(f899(x101532)),x101535))+~P107(f316(f316(x101533,f316(f316(f154(x101531),x101534),f728(x101533,x101535,x101532,x101534,x101531))),f316(f316(f154(x101532),x101535),f728(x101533,x101535,x101532,x101534,x101531))))
% 163.96/163.65 [6687]~P14(x66872,x66875,x66871)+~P107(f316(f54(x66872),x66874))+E(f316(x66871,f316(f316(f298(x66872),x66873),x66874)),f316(f316(f57(x66872,x66872,x66875),x66873),x66874))
% 163.96/163.65 [6688]~E(x66883,x66884)+~E(x66882,x66885)+E(f316(f316(f298(x66881),x66882),f316(f316(f298(x66881),x66883),f178(f905(x66881,a895)))),f316(f316(f298(x66881),x66884),f316(f316(f298(x66881),x66885),f178(f905(x66881,a895)))))
% 163.96/163.65 [6699]P107(f316(x66992,x66995))+E(f167(x66991,x66992,f316(f316(f124(x66991),x66993),x66994)),f167(x66991,x66992,x66993))+~P107(f316(f316(f318(x66991),x66995),f316(f162(x66991),x66993)))
% 163.96/163.65 [6737]E(f316(x67371,x67372),f178(f905(x67373,a895)))+~E(f316(f316(f33(x67374,f905(x67373,a895)),x67375),x67371),f178(f905(x67373,a895)))+~P107(f316(f316(f318(x67374),x67372),x67375))
% 163.96/163.65 [6738]E(f316(x67381,x67382),f231(f905(x67383,a895)))+~E(f316(f316(f32(x67384,f905(x67383,a895)),x67385),x67381),f231(f905(x67383,a895)))+~P107(f316(f316(f318(x67384),x67382),x67385))
% 163.96/163.65 [7252]~E(x72522,x72524)+~P142(x72521)+E(f316(f316(f74(x72521),f316(f316(f75(x72521),x72522),x72523)),f316(f316(f75(x72521),x72524),x72525)),f316(f316(f74(x72521),f316(f316(f75(x72521),x72522),x72525)),f316(f316(f75(x72521),x72524),x72523)))
% 163.96/163.65 [7314]~P2(x73141)+~P107(f316(f316(f318(x73144),x73143),x73145))+P107(f316(f316(f224(x73141),f316(x73142,x73143)),f316(f316(f33(x73144,x73141),x73145),x73142)))
% 163.96/163.65 [7367]~P110(x73671)+P107(f316(f316(f224(x73671),f316(x73672,x73673)),f316(x73674,x73673)))+~P107(f316(f316(f224(f905(x73675,x73671)),x73672),x73674))
% 163.96/163.65 [7489]E(x74891,x74892)+E(x74893,x74891)+~E(f316(f316(f298(x74894),x74891),f316(f316(f298(x74894),x74895),f178(f905(x74894,a895)))),f316(f316(f298(x74894),x74892),f316(f316(f298(x74894),x74893),f178(f905(x74894,a895)))))
% 163.96/163.65 [7490]E(x74901,x74902)+E(x74903,x74901)+~E(f316(f316(f298(x74904),x74903),f316(f316(f298(x74904),x74902),f178(f905(x74904,a895)))),f316(f316(f298(x74904),x74905),f316(f316(f298(x74904),x74901),f178(f905(x74904,a895)))))
% 163.96/163.65 [7491]E(x74911,x74912)+E(x74911,x74913)+~E(f316(f316(f298(x74914),x74913),f316(f316(f298(x74914),x74912),f178(f905(x74914,a895)))),f316(f316(f298(x74914),x74915),f316(f316(f298(x74914),x74911),f178(f905(x74914,a895)))))
% 163.96/163.65 [7492]E(x74921,x74922)+E(x74921,x74923)+~E(f316(f316(f298(x74924),x74921),f316(f316(f298(x74924),x74925),f178(f905(x74924,a895)))),f316(f316(f298(x74924),x74922),f316(f316(f298(x74924),x74923),f178(f905(x74924,a895)))))
% 163.96/163.65 [8023]P22(x80231,x80232,x80233,x80234)+~P22(x80231,x80232,x80233,x80235)+~P107(f316(f316(f224(f905(x80231,a895)),x80234),x80235))
% 163.96/163.65 [8052]~E(f316(x80523,x80525),x80524)+~P22(x80521,x80522,x80523,f231(f905(x80521,a895)))+E(f316(f85(x80521,x80522,f231(f905(x80521,a895)),x80523),x80524),x80525)
% 163.96/163.65 [8199]E(x81991,x81992)+~E(f316(f299(x81993,x81994,x81995),x81991),f316(f299(x81993,x81994,x81995),x81992))+~P22(x81993,x81994,x81995,f316(f316(f100(f905(x81993,a895)),x81991),x81992))
% 163.96/163.65 [8275]P107(f316(x82752,x82754))+E(f316(f316(f128(x82751),f316(f179(f899(x82751)),f167(x82751,x82752,x82753))),x82753),f316(f316(f141(x82751),x82754),x82755))+~E(f316(f316(f124(x82751),f167(x82751,x82752,x82753)),f316(f316(f141(x82751),x82754),x82755)),x82753)
% 163.96/163.65 [8303]~P22(x83031,x83032,x83033,x83035)+~P22(x83031,x83032,x83033,x83034)+P22(x83031,x83032,x83033,f316(f316(f91(f905(x83031,a895)),x83034),x83035))
% 163.96/163.65 [8411]~P76(x84111)+E(f316(f316(f74(x84111),f316(x84112,x84113)),f316(f155(x84111),f316(f316(f144(x84114,x84111),x84112),f160(x84114,x84113,x84115)))),f316(f155(x84111),f316(f316(f144(x84114,x84111),x84112),x84115)))+~P107(f316(f316(f318(x84114),x84113),f316(f162(x84114),x84115)))
% 163.96/163.65 [8499]~P108(x84991)+~P10(x84991,f316(f316(f144(x84992,x84991),x84993),x84995))+P10(x84991,f316(f316(f144(x84992,x84991),x84993),f316(f316(f138(x84992,x84991,x84993),x84994),x84995)))
% 163.96/163.65 [8583]~P2(x85831)+P107(f316(f316(f224(x85831),f316(f316(f32(x85832,x85831),x85833),x85834)),f316(f316(f32(x85832,x85831),x85835),x85834)))+~P107(f316(f316(f224(f905(x85832,a895)),x85835),x85833))
% 163.96/163.65 [8584]~P2(x85841)+P107(f316(f316(f224(x85841),f316(f316(f33(x85842,x85841),x85843),x85844)),f316(f316(f33(x85842,x85841),x85845),x85844)))+~P107(f316(f316(f224(f905(x85842,a895)),x85843),x85845))
% 163.96/163.65 [8617]~P108(x86173)+P107(f316(f127(x86171),x86172))+~P107(f316(f127(x86171),f316(f316(f138(x86171,x86173,x86174),x86175),x86172)))
% 163.96/163.65 [8765]~P108(x87651)+~P107(f316(f316(f318(x87652),x87653),f316(f162(x87652),x87654)))+~P107(f316(f127(x87652),f316(f316(f138(x87652,x87651,x87655),x87653),x87654)))
% 163.96/163.65 [8856]~P108(x88561)+P10(x88561,f316(f316(f144(x88562,x88561),x88563),x88564))+~P10(x88561,f316(f316(f144(x88562,x88561),x88563),f316(f316(f138(x88562,x88561,x88563),x88565),x88564)))
% 163.96/163.65 [8902]~P22(x89022,x89021,x89024,x89023)+E(f316(f299(x89021,x89022,f85(x89022,x89021,x89023,x89024)),f316(f299(x89022,x89021,x89024),x89025)),x89025)+~P107(f316(f316(f224(f905(x89022,a895)),x89025),x89023))
% 163.96/163.65 [8955]~P108(x89552)+E(f316(f316(f138(x89551,x89552,x89553),x89554),x89555),f139(x89551,x89552,x89553,x89554,x89555))+P107(f316(f316(f318(x89552),f316(x89553,x89554)),f316(f299(x89551,x89552,x89553),f316(f162(x89551),x89555))))
% 163.96/163.65 [9036]~P108(x90362)+E(f139(x90361,x90362,x90363,x90364,x90365),x90365)+~P107(f316(f316(f318(x90362),f316(x90363,x90364)),f316(f299(x90361,x90362,x90363),f316(f162(x90361),x90365))))
% 163.96/163.65 [9052]~P22(x90522,x90521,x90523,x90525)+P107(f316(f316(f225(f905(x90521,a895)),f316(f299(x90522,x90521,x90523),x90524)),f316(f299(x90522,x90521,x90523),x90525)))+~P107(f316(f316(f225(f905(x90522,a895)),x90524),x90525))
% 163.96/163.65 [9211]~P22(x92111,x92112,x92113,f231(f905(x92111,a895)))+~P107(f316(f316(f224(f905(x92112,a895)),x92114),f316(f299(x92111,x92112,x92113),x92115)))+P107(f316(f316(f224(f905(x92111,a895)),f316(f300(x92111,x92112,x92113),x92114)),x92115))
% 163.96/163.65 [9234]~E(f316(f299(x92343,x92341,x92344),f231(f905(x92343,a895))),f231(f905(x92341,a895)))+P107(f316(f316(f224(f905(x92341,a895)),x92342),f316(f299(x92343,x92341,x92344),x92345)))+~P107(f316(f316(f224(f905(x92343,a895)),f316(f300(x92343,x92341,x92344),x92342)),x92345))
% 163.96/163.65 [9339]~P22(x93391,x93394,x93395,f231(f905(x93391,a895)))+~P107(f316(f316(f224(f905(x93394,a895)),f316(f299(x93391,x93394,x93395),x93392)),f316(f299(x93391,x93394,x93395),x93393)))+P107(f316(f316(f224(f905(x93391,a895)),x93392),x93393))
% 163.96/163.65 [9465]~P82(x94651)+~E(f316(x94653,f712(x94653,x94654,x94655,x94652,x94651)),f2(x94651))+E(f316(f155(x94651),f316(f316(f144(x94652,x94651),x94653),f316(f126(x94652,x94654),x94655))),f316(f155(x94651),f316(f316(f144(x94652,x94651),x94653),x94655)))
% 163.96/163.65 [9492]~P23(x94921,x94922,x94923,f231(f905(x94921,a895)),f231(f905(x94922,a895)))+~P107(f316(f316(f224(f905(x94922,a895)),x94924),f316(f299(x94921,x94922,x94923),x94925)))+P107(f316(f316(f224(f905(x94921,a895)),f316(f300(x94921,x94922,x94923),x94924)),x94925))
% 163.96/163.65 [9521]~P23(x95213,x95211,x95214,f231(f905(x95213,a895)),f231(f905(x95211,a895)))+P107(f316(f316(f224(f905(x95211,a895)),x95212),f316(f299(x95213,x95211,x95214),x95215)))+~P107(f316(f316(f224(f905(x95213,a895)),f316(f300(x95213,x95211,x95214),x95212)),x95215))
% 163.96/163.65 [9654]~P13(x96541,x96542,x96543)+~P107(f316(f54(x96541),x96545))+P107(f316(f59(x96541,x96542,x96543,x96544,x96545),f316(f316(f57(x96541,x96542,x96543),x96544),x96545)))
% 163.96/163.65 [9733]~P23(x97332,x97331,x97334,f231(f905(x97332,a895)),f231(f905(x97331,a895)))+~P23(x97331,x97333,x97335,f231(f905(x97331,a895)),f231(f905(x97333,a895)))+E(f316(f66(x97331,x97332,x97333,f85(x97332,x97331,f231(f905(x97332,a895)),x97334)),f85(x97331,x97333,f231(f905(x97331,a895)),x97335)),f85(x97332,x97333,f231(f905(x97332,a895)),f316(f66(x97331,x97333,x97332,x97335),x97334)))
% 163.96/163.65 [9734]P107(f316(x97341,f861(x97342,x97341,x97343,x97344,x97345)))+~P107(f316(f316(f224(f905(x97345,a895)),x97344),x97343))+P107(f316(f316(f224(f905(x97345,a895)),f316(f316(f91(f905(x97345,a895)),x97344),f316(f251(x97345),x97341))),f316(f316(f91(f905(x97345,a895)),x97343),f316(f251(x97345),x97342))))
% 163.96/163.65 [9748]~P82(x97481)+~P107(f316(x97484,f712(x97483,x97484,x97485,x97482,x97481)))+E(f316(f155(x97481),f316(f316(f144(x97482,x97481),x97483),f316(f126(x97482,x97484),x97485))),f316(f155(x97481),f316(f316(f144(x97482,x97481),x97483),x97485)))
% 163.96/163.65 [9825]~P2(x98255)+P107(f316(f316(f318(x98251),f768(x98252,x98253,x98251,x98254,x98255)),x98253))+P107(f316(f316(f224(x98255),x98254),f316(f316(f32(x98251,x98255),x98253),x98252)))
% 163.96/163.65 [9826]~P2(x98265)+P107(f316(f316(f318(x98261),f590(x98262,x98263,x98264,x98261,x98265)),x98264))+P107(f316(f316(f224(x98265),x98263),f316(f316(f32(x98261,x98265),x98264),x98262)))
% 163.96/163.65 [9830]~P82(x98301)+E(f316(f155(x98301),f316(f316(f144(x98302,x98301),x98303),f316(f126(x98302,x98304),x98305))),f316(f155(x98301),f316(f316(f144(x98302,x98301),x98303),x98305)))+P107(f316(f316(f318(x98302),f712(x98303,x98304,x98305,x98302,x98301)),f316(f162(x98302),x98305)))
% 163.96/163.65 [9840]~P107(f316(x98405,f861(x98405,x98403,x98404,x98402,x98401)))+~P107(f316(f316(f224(f905(x98401,a895)),x98402),x98404))+P107(f316(f316(f224(f905(x98401,a895)),f316(f316(f91(f905(x98401,a895)),x98402),f316(f251(x98401),x98403))),f316(f316(f91(f905(x98401,a895)),x98404),f316(f251(x98401),x98405))))
% 163.96/163.65 [9857]~P22(x98575,x98573,x98574,f231(f905(x98575,a895)))+P107(f316(x98571,x98572))+P107(f316(f316(f318(x98573),f804(x98572,x98571,x98574,x98573,x98575)),f316(f299(x98575,x98573,x98574),f231(f905(x98575,a895)))))
% 163.96/163.65 [9880]P33(x98801,x98802,x98803,x98804,x98805)+~E(f316(f179(f899(x98802)),x98805),f316(f179(f899(x98801)),x98804))+P107(f316(f316(f225(a898),f693(x98805,x98804,x98803,x98802,x98801)),f316(f179(f899(x98801)),x98804)))
% 163.96/163.65 [9881]P33(x98811,x98812,x98813,x98814,x98815)+~E(f316(f179(f899(x98812)),x98815),f316(f179(f899(x98811)),x98814))+P107(f316(f316(f225(a898),f728(x98813,x98815,x98812,x98814,x98811)),f316(f179(f899(x98811)),x98814)))
% 163.96/163.65 [9913]P107(f316(f316(f318(x99131),f861(x99132,x99133,x99134,x99135,x99131)),x99135))+~P107(f316(f316(f224(f905(x99131,a895)),x99135),x99134))+P107(f316(f316(f224(f905(x99131,a895)),f316(f316(f91(f905(x99131,a895)),x99135),f316(f251(x99131),x99133))),f316(f316(f91(f905(x99131,a895)),x99134),f316(f251(x99131),x99132))))
% 163.96/163.65 [9956]~P2(x99561)+~P107(f316(f316(f224(x99561),x99562),f316(x99565,f768(x99565,x99564,x99563,x99562,x99561))))+P107(f316(f316(f224(x99561),x99562),f316(f316(f32(x99563,x99561),x99564),x99565)))
% 163.96/163.65 [9957]~P2(x99571)+~P107(f316(f316(f224(x99571),x99572),f316(x99575,f590(x99575,x99572,x99574,x99573,x99571))))+P107(f316(f316(f224(x99571),x99572),f316(f316(f32(x99573,x99571),x99574),x99575)))
% 163.96/163.65 [9994]~P72(x99941)+~P107(f316(f54(x99942),x99945))+E(f316(f316(f316(f58(x99941,x99942,f75(x99941)),f316(f316(f18(x99942,x99941,x99941),f316(f316(f8(x99941,f905(x99941,x99941),x99942),f75(x99941)),x99943)),x99944)),f72(x99941)),x99945),f316(f316(f75(x99941),f316(f316(f316(f58(x99941,x99942,f75(x99941)),x99943),f72(x99941)),x99945)),f316(f316(f316(f58(x99941,x99942,f75(x99941)),x99944),f72(x99941)),x99945)))
% 163.96/163.65 [10049]~P107(f316(f316(f318(f904(f905(x100491,a895),f905(x100491,a895))),f316(f316(f241(f905(x100491,a895),f905(x100491,a895)),x100495),x100494)),f307(x100491,x100493)))+~P107(f316(f316(f318(x100491),x100492),x100495))+P107(f316(f316(f318(f904(x100491,x100491)),f316(f316(f241(x100491,x100491),x100492),f597(x100493,x100494,x100495,x100491,x100492))),x100493))
% 163.96/163.65 [10190]~P107(f316(f316(f318(f904(f899(x101901),f899(x101901))),f316(f316(f241(f899(x101901),f899(x101901)),f316(f316(f124(x101901),x101905),x101902)),f316(f316(f124(x101901),x101905),x101903))),f137(x101901,x101904)))+P107(f316(f316(f318(f904(f899(x101901),f899(x101901))),f316(f316(f241(f899(x101901),f899(x101901)),x101902),x101903)),f137(x101901,x101904)))+P107(f316(f316(f318(f904(x101901,x101901)),f316(f316(f241(x101901,x101901),f681(x101904,x101903,x101902,x101905,x101901)),f681(x101904,x101903,x101902,x101905,x101901))),x101904))
% 163.96/163.65 [7370]~E(x73703,x73705)+E(f316(f316(f154(x73701),f316(f316(f149(x73701,x73702),x73703),x73704)),x73705),x73704)+~P107(f316(f316(f225(a898),x73703),f316(f179(f899(x73701)),x73702)))
% 163.96/163.65 [7485]~E(f316(f316(f124(x74851),x74852),x74854),f316(f316(f124(x74851),x74853),x74855))+E(f316(f316(f165(x74851),f316(f179(f899(x74851)),x74852)),x74853),x74852)+P107(f316(f316(f224(a898),f316(f179(f899(x74851)),x74853)),f316(f179(f899(x74851)),x74852)))
% 163.96/163.65 [7984]~E(f316(f316(f124(x79841),x79842),x79844),f316(f316(f124(x79841),x79843),x79845))+E(f316(f316(f165(x79841),f316(f179(f899(x79841)),x79842)),x79843),x79842)+~P107(f316(f316(f224(a898),f316(f179(f899(x79841)),x79842)),f316(f179(f899(x79841)),x79843)))
% 163.96/163.65 [8008]~P107(f316(f54(x80081),f316(x80084,x80085)))+~P107(f316(f316(f318(x80082),x80085),x80083))+P107(f316(f54(x80081),f316(f316(f32(x80082,f905(x80081,a895)),x80083),x80084)))
% 163.96/163.65 [8183]~P52(x81831,x81833,x81835)+~P52(x81831,x81832,x81834)+P52(x81831,f316(f316(f100(f905(x81831,a895)),x81832),x81833),f316(f316(f100(f905(f904(x81831,x81831),a895)),x81834),x81835))
% 163.96/163.65 [8184]~P52(x81841,x81843,x81845)+~P52(x81841,x81842,x81844)+P52(x81841,f316(f316(f91(f905(x81841,a895)),x81842),x81843),f316(f316(f91(f905(f904(x81841,x81841),a895)),x81844),x81845))
% 163.96/163.65 [8538]E(f316(f316(f241(x85381,x85382),f316(f316(f154(x85381),x85383),x85384)),f316(f316(f154(x85382),x85385),x85384)),f316(f316(f154(f904(x85381,x85382)),f316(f316(f171(x85381,x85382),x85383),x85385)),x85384))+~P107(f316(f316(f225(a898),x85384),f316(f179(f899(x85381)),x85383)))+~P107(f316(f316(f225(a898),x85384),f316(f179(f899(x85382)),x85385)))
% 163.96/163.65 [8692]~P52(x86921,x86923,x86924)+P107(f316(f316(f318(x86921),x86922),x86923))+~P107(f316(f316(f318(f904(x86921,x86921)),f316(f316(f241(x86921,x86921),x86925),x86922)),x86924))
% 163.96/163.65 [8693]~P52(x86931,x86933,x86934)+P107(f316(f316(f318(x86931),x86932),x86933))+~P107(f316(f316(f318(f904(x86931,x86931)),f316(f316(f241(x86931,x86931),x86932),x86935)),x86934))
% 163.96/163.65 [8694]~P5(x86941,x86943,x86944)+P107(f316(f316(f318(x86941),x86942),x86943))+~P107(f316(f316(f318(f904(x86941,x86941)),f316(f316(f241(x86941,x86941),x86945),x86942)),x86944))
% 163.96/163.65 [8695]~P5(x86951,x86953,x86954)+P107(f316(f316(f318(x86951),x86952),x86953))+~P107(f316(f316(f318(f904(x86951,x86951)),f316(f316(f241(x86951,x86951),x86952),x86955)),x86954))
% 163.96/163.65 [8979]~P5(x89791,x89795,x89792)+E(f316(f274(x89791,x89791,x89792),f316(f316(f298(x89791),x89793),f178(f905(x89791,a895)))),f316(f274(x89791,x89791,x89792),f316(f316(f298(x89791),x89794),f178(f905(x89791,a895)))))+~P107(f316(f316(f318(f904(x89791,x89791)),f316(f316(f241(x89791,x89791),x89793),x89794)),x89792))
% 163.96/163.65 [9167]P107(f316(x91671,x91672))+~P107(f316(f316(f318(x91673),x91672),x91675))+P107(f316(f316(f318(x91673),f720(x91671,x91674,x91675,x91673)),f316(f316(f100(f905(x91673,a895)),x91675),x91674)))
% 163.96/163.65 [9168]P107(f316(x91681,x91682))+~P107(f316(f316(f318(x91683),x91682),x91684))+P107(f316(f316(f318(x91683),f720(x91681,x91684,x91685,x91683)),f316(f316(f100(f905(x91683,a895)),x91685),x91684)))
% 163.96/163.65 [9176]~P107(f316(x91762,x91765))+~P107(f316(f316(f318(x91761),x91765),x91764))+P107(f316(f316(f318(x91761),f711(x91762,x91763,x91764,x91761)),f316(f316(f100(f905(x91761,a895)),x91764),x91763)))
% 163.96/163.65 [9177]~P107(f316(x91772,x91775))+~P107(f316(f316(f318(x91771),x91775),x91773))+P107(f316(f316(f318(x91771),f711(x91772,x91773,x91774,x91771)),f316(f316(f100(f905(x91771,a895)),x91774),x91773)))
% 163.96/163.65 [9192]~P107(f316(f316(f224(f905(x91921,a895)),x91925),x91923))+~P107(f316(f316(f224(f905(x91921,a895)),x91922),x91924))+P107(f316(f316(f224(f905(x91921,a895)),f316(f316(f23(f905(x91921,a895)),x91922),x91923)),f316(f316(f23(f905(x91921,a895)),x91924),x91925)))
% 163.96/163.65 [9193]~P107(f316(f316(f224(f905(x91931,a895)),x91933),x91935))+~P107(f316(f316(f224(f905(x91931,a895)),x91932),x91934))+P107(f316(f316(f224(f905(x91931,a895)),f316(f316(f100(f905(x91931,a895)),x91932),x91933)),f316(f316(f100(f905(x91931,a895)),x91934),x91935)))
% 163.96/163.65 [9194]~P107(f316(f316(f224(f905(x91941,a895)),x91943),x91945))+~P107(f316(f316(f224(f905(x91941,a895)),x91942),x91944))+P107(f316(f316(f224(f905(x91941,a895)),f316(f316(f91(f905(x91941,a895)),x91942),x91943)),f316(f316(f91(f905(x91941,a895)),x91944),x91945)))
% 163.96/163.65 [9288]P107(f316(f316(f318(f904(x92881,x92881)),f316(f316(f241(x92881,x92881),x92882),x92883)),f310(x92881,x92884,x92885)))+~P107(f316(f316(f224(a898),f316(x92884,x92882)),f316(x92884,x92883)))+~P107(f316(f316(f318(f904(x92881,x92881)),f316(f316(f241(x92881,x92881),x92882),x92883)),x92885))
% 163.96/163.65 [9475]P107(f316(f316(f318(f904(x94751,x94751)),f316(f316(f241(x94751,x94751),x94752),x94753)),f296(x94751,x94754)))+~P107(f316(f316(f318(f904(x94751,x94751)),f316(f316(f241(x94751,x94751),x94752),x94755)),f296(x94751,x94754)))+~P107(f316(f316(f318(f904(x94751,x94751)),f316(f316(f241(x94751,x94751),x94755),x94753)),x94754))
% 163.96/163.65 [9476]P107(f316(f316(f318(f904(x94761,x94761)),f316(f316(f241(x94761,x94761),x94762),x94763)),f296(x94761,x94764)))+~P107(f316(f316(f318(f904(x94761,x94761)),f316(f316(f241(x94761,x94761),x94765),x94763)),f296(x94761,x94764)))+~P107(f316(f316(f318(f904(x94761,x94761)),f316(f316(f241(x94761,x94761),x94762),x94765)),x94764))
% 163.96/163.65 [9575]E(x95751,x95752)+E(f316(a102,f612(x95753,x95754,x95751,x95752,x95755)),x95754)+~P107(f316(f316(f318(f904(x95755,x95755)),f316(f316(f241(x95755,x95755),x95752),x95751)),f316(f316(f173(f904(x95755,x95755),a895),x95754),x95753)))
% 163.96/163.65 [9576]E(x95761,x95762)+E(f316(a102,f613(x95763,x95764,x95761,x95762,x95765)),x95764)+~P107(f316(f316(f318(f904(x95765,x95765)),f316(f316(f241(x95765,x95765),x95762),x95761)),f316(f316(f173(f904(x95765,x95765),a895),x95764),x95763)))
% 163.96/163.65 [9577]E(x95771,f2(a898))+E(f316(a102,f612(x95772,x95771,x95773,x95774,x95775)),x95771)+~P107(f316(f316(f318(f904(x95775,x95775)),f316(f316(f241(x95775,x95775),x95774),x95773)),f316(f316(f173(f904(x95775,x95775),a895),x95771),x95772)))
% 163.96/163.65 [9578]E(x95781,f2(a898))+E(f316(a102,f613(x95782,x95781,x95783,x95784,x95785)),x95781)+~P107(f316(f316(f318(f904(x95785,x95785)),f316(f316(f241(x95785,x95785),x95784),x95783)),f316(f316(f173(f904(x95785,x95785),a895),x95781),x95782)))
% 163.96/163.65 [9603]P107(f316(f316(f318(f904(x96031,x96031)),f316(f316(f241(x96031,x96031),x96032),x96033)),f316(f316(f278(x96031,x96031,x96031),x96034),f296(x96031,x96034))))+~P107(f316(f316(f318(f904(x96031,x96031)),f316(f316(f241(x96031,x96031),x96032),x96035)),x96034))+~P107(f316(f316(f318(f904(x96031,x96031)),f316(f316(f241(x96031,x96031),x96035),x96033)),x96034))
% 163.96/163.65 [9613]~P107(f316(f316(f318(f904(x96131,x96131)),f316(f316(f241(x96131,x96131),x96132),x96135)),f296(x96131,x96134)))+P107(f316(f316(f318(f904(x96131,x96131)),f316(f316(f241(x96131,x96131),x96132),x96133)),f316(f316(f278(x96131,x96131,x96131),x96134),f296(x96131,x96134))))+~P107(f316(f316(f318(f904(x96131,x96131)),f316(f316(f241(x96131,x96131),x96135),x96133)),x96134))
% 163.96/163.65 [9648]~P5(x96481,x96485,x96482)+~P107(f316(f316(f318(f904(x96481,x96481)),f316(f316(f241(x96481,x96481),x96483),x96484)),x96482))+P107(f316(f316(f224(f905(x96481,a895)),f316(f274(x96481,x96481,x96482),f316(f316(f298(x96481),x96483),f178(f905(x96481,a895))))),f316(f274(x96481,x96481,x96482),f316(f316(f298(x96481),x96484),f178(f905(x96481,a895))))))
% 163.96/163.65 [9706]P107(f316(f316(f318(f904(x97061,x97061)),f316(f316(f241(x97061,x97061),x97062),x97063)),f316(f316(f278(x97061,x97061,x97061),x97064),f296(x97061,x97064))))+~P107(f316(f316(f318(f904(x97061,x97061)),f316(f316(f241(x97061,x97061),x97062),x97065)),f316(f316(f278(x97061,x97061,x97061),x97064),f296(x97061,x97064))))+~P107(f316(f316(f318(f904(x97061,x97061)),f316(f316(f241(x97061,x97061),x97065),x97063)),x97064))
% 163.96/163.65 [9707]P107(f316(f316(f318(f904(x97071,x97071)),f316(f316(f241(x97071,x97071),x97072),x97073)),f316(f316(f278(x97071,x97071,x97071),x97074),f296(x97071,x97074))))+~P107(f316(f316(f318(f904(x97071,x97071)),f316(f316(f241(x97071,x97071),x97075),x97073)),f316(f316(f278(x97071,x97071,x97071),x97074),f296(x97071,x97074))))+~P107(f316(f316(f318(f904(x97071,x97071)),f316(f316(f241(x97071,x97071),x97072),x97075)),x97074))
% 163.96/163.65 [9757]~P107(f316(f59(x97571,x97571,x97574,x97572,x97573),x97575))+P107(f316(f316(f318(x97571),x97572),x97573))+P107(f316(f55(x97571,x97574,f316(f316(f298(x97571),x97572),x97573)),x97575))
% 163.96/163.65 [9795]~E(f316(f299(x97953,x97952,x97955),x97954),x97951)+E(x97951,f178(f905(x97952,a895)))+P107(f316(f316(f224(f905(x97953,a895)),f316(f299(x97952,x97953,f867(x97954,x97953,x97952,x97951)),x97951)),x97954))
% 163.96/163.65 [9843]~P2(x98435)+P107(f316(f316(f318(x98431),f862(x98432,x98433,x98434,x98431,x98435)),x98434))+P107(f316(f316(f224(x98435),f316(f316(f33(x98431,x98435),x98434),x98433)),x98432))
% 163.96/163.65 [9844]~P2(x98445)+P107(f316(f316(f318(x98441),f600(x98442,x98443,x98444,x98441,x98445)),x98444))+P107(f316(f316(f224(x98445),f316(f316(f33(x98441,x98445),x98444),x98443)),x98442))
% 163.96/163.65 [9900]P33(x99001,x99002,x99003,x99004,x99005)+~E(f316(f179(f899(x99001)),x99004),f316(f179(f899(x99002)),x99005))+P107(f316(f316(f318(f904(x99001,x99002)),f691(x99005,x99004,x99003,x99002,x99001)),f316(f162(f904(x99001,x99002)),f316(f316(f171(x99001,x99002),x99004),x99005))))
% 163.96/163.65 [9901]P33(x99011,x99012,x99013,x99014,x99015)+~E(f316(f179(f899(x99011)),x99014),f316(f179(f899(x99012)),x99015))+P107(f316(f316(f318(f904(x99011,x99012)),f692(x99013,x99015,x99014,x99012,x99011)),f316(f162(f904(x99011,x99012)),f316(f316(f171(x99011,x99012),x99014),x99015))))
% 163.96/163.65 [10028]E(x100281,x100282)+P107(f316(f316(f318(f904(x100283,x100283)),f316(f316(f241(x100283,x100283),x100281),f614(x100284,x100285,x100282,x100281,x100283))),x100284))+~P107(f316(f316(f318(f904(x100283,x100283)),f316(f316(f241(x100283,x100283),x100281),x100282)),f316(f316(f173(f904(x100283,x100283),a895),x100285),x100284)))
% 163.96/163.65 [10029]E(x100291,f2(a898))+P107(f316(f316(f318(f904(x100292,x100292)),f316(f316(f241(x100292,x100292),x100293),f614(x100294,x100291,x100295,x100293,x100292))),x100294))+~P107(f316(f316(f318(f904(x100292,x100292)),f316(f316(f241(x100292,x100292),x100293),x100295)),f316(f316(f173(f904(x100292,x100292),a895),x100291),x100294)))
% 163.96/163.65 [10068]~P2(x100681)+~P107(f316(f316(f224(x100681),f316(x100684,f862(x100685,x100684,x100683,x100682,x100681))),x100685))+P107(f316(f316(f224(x100681),f316(f316(f33(x100682,x100681),x100683),x100684)),x100685))
% 163.96/163.65 [10069]~P2(x100691)+~P107(f316(f316(f224(x100691),f316(x100694,f600(x100695,x100694,x100693,x100692,x100691))),x100695))+P107(f316(f316(f224(x100691),f316(f316(f33(x100692,x100691),x100693),x100694)),x100695))
% 163.96/163.65 [10122]E(x101221,x101222)+P107(f316(f316(f318(f904(x101223,x101223)),f316(f316(f241(x101223,x101223),f610(x101224,x101225,x101221,x101222,x101223)),x101221)),x101224))+~P107(f316(f316(f318(f904(x101223,x101223)),f316(f316(f241(x101223,x101223),x101222),x101221)),f316(f316(f173(f904(x101223,x101223),a895),x101225),x101224)))
% 163.96/163.65 [10123]E(x101231,f2(a898))+P107(f316(f316(f318(f904(x101232,x101232)),f316(f316(f241(x101232,x101232),f610(x101233,x101231,x101234,x101235,x101232)),x101234)),x101233))+~P107(f316(f316(f318(f904(x101232,x101232)),f316(f316(f241(x101232,x101232),x101235),x101234)),f316(f316(f173(f904(x101232,x101232),a895),x101231),x101233)))
% 163.96/163.65 [10127]E(x101271,x101272)+P107(f316(f316(f318(f904(x101273,x101273)),f316(f316(f241(x101273,x101273),x101271),f610(x101274,x101275,x101272,x101271,x101273))),f316(f316(f173(f904(x101273,x101273),a895),f612(x101274,x101275,x101272,x101271,x101273)),x101274)))+~P107(f316(f316(f318(f904(x101273,x101273)),f316(f316(f241(x101273,x101273),x101271),x101272)),f316(f316(f173(f904(x101273,x101273),a895),x101275),x101274)))
% 163.96/163.65 [10128]E(x101281,f2(a898))+P107(f316(f316(f318(f904(x101282,x101282)),f316(f316(f241(x101282,x101282),x101283),f610(x101284,x101281,x101285,x101283,x101282))),f316(f316(f173(f904(x101282,x101282),a895),f612(x101284,x101281,x101285,x101283,x101282)),x101284)))+~P107(f316(f316(f318(f904(x101282,x101282)),f316(f316(f241(x101282,x101282),x101283),x101285)),f316(f316(f173(f904(x101282,x101282),a895),x101281),x101284)))
% 163.96/163.65 [10181]E(x101811,x101812)+P107(f316(f316(f318(f904(x101813,x101813)),f316(f316(f241(x101813,x101813),f614(x101814,x101815,x101811,x101812,x101813)),x101811)),f316(f316(f173(f904(x101813,x101813),a895),f613(x101814,x101815,x101811,x101812,x101813)),x101814)))+~P107(f316(f316(f318(f904(x101813,x101813)),f316(f316(f241(x101813,x101813),x101812),x101811)),f316(f316(f173(f904(x101813,x101813),a895),x101815),x101814)))
% 163.96/163.65 [10182]E(x101821,f2(a898))+P107(f316(f316(f318(f904(x101822,x101822)),f316(f316(f241(x101822,x101822),f614(x101823,x101821,x101824,x101825,x101822)),x101824)),f316(f316(f173(f904(x101822,x101822),a895),f613(x101823,x101821,x101824,x101825,x101822)),x101823)))+~P107(f316(f316(f318(f904(x101822,x101822)),f316(f316(f241(x101822,x101822),x101825),x101824)),f316(f316(f173(f904(x101822,x101822),a895),x101821),x101823)))
% 163.96/163.65 [10215]~P76(x102152)+~P107(f316(f54(x102151),x102155))+E(f316(f316(f6(x102151,x102152),f316(f316(f7(x102151,x102152,x102152),f316(f316(f18(x102151,x102152,f905(x102152,x102152)),f316(f316(f8(a895,f905(x102152,f905(x102152,x102152)),x102151),f86(x102152)),f316(f316(f7(x102151,f905(x102151,a895),a895),f318(x102151)),x102153))),x102154)),f2(x102152))),x102155),f316(f316(f6(x102151,x102152),x102154),f316(f316(f91(f905(x102151,a895)),x102155),x102153)))
% 163.96/163.65 [8762]~P72(x87621)+~P107(f316(f54(x87624),x87625))+E(f316(f316(f75(x87621),f316(x87622,x87623)),f316(f316(f9(x87624,x87621),x87622),f316(f316(f23(f905(x87624,a895)),x87625),f316(f316(f298(x87624),x87623),f178(f905(x87624,a895)))))),f316(f316(f9(x87624,x87621),x87622),f316(f316(f298(x87624),x87623),x87625)))
% 163.96/163.65 [8763]~P76(x87631)+~P107(f316(f54(x87634),x87635))+E(f316(f316(f74(x87631),f316(x87632,x87633)),f316(f316(f6(x87634,x87631),x87632),f316(f316(f23(f905(x87634,a895)),x87635),f316(f316(f298(x87634),x87633),f178(f905(x87634,a895)))))),f316(f316(f6(x87634,x87631),x87632),f316(f316(f298(x87634),x87633),x87635)))
% 163.96/163.65 [9100]~P108(x91002)+~P10(x91002,f316(f158(x91002),f316(f316(f144(x91001,x91002),x91004),x91005)))+E(f316(f126(x91001,f316(f316(f8(x91002,a895,x91001),f316(f225(x91002),x91003)),x91004)),x91005),f167(x91001,f316(f316(f8(x91002,a895,x91001),f316(f225(x91002),x91003)),x91004),x91005))
% 163.96/163.65 [9124]~P76(x91241)+E(f316(f316(f74(x91241),f316(f316(f6(a898,x91241),x91242),f292(a898,x91243,x91244))),f316(f316(f6(a898,x91241),x91242),f292(a898,f316(f316(f74(a898),x91244),f72(a898)),f316(f316(f74(a898),x91244),x91245)))),f316(f316(f6(a898,x91241),x91242),f292(a898,x91243,f316(f316(f74(a898),x91244),x91245))))+~P107(f316(f316(f224(a898),x91243),f316(f316(f74(a898),x91244),f72(a898))))
% 163.96/163.66 [9125]~P107(f316(f316(f318(x91251),x91254),x91255))+~P107(f316(f316(f224(f905(x91251,a895)),f316(f162(x91251),x91252)),x91255))+P107(f316(f316(f224(f905(x91251,a895)),f316(f162(x91251),f316(f316(f149(x91251,x91252),x91253),x91254))),x91255))
% 163.96/163.66 [9348]~P2(x93482)+~P107(f316(f54(x93481),x93485))+E(f316(f316(f57(x93481,x93482,f316(f316(f8(x93482,f905(x93482,x93482),x93481),f100(x93482)),x93483)),x93484),x93485),f316(f316(f100(x93482),x93484),f316(f316(f33(x93481,x93482),x93485),x93483)))
% 163.96/163.66 [9349]~P2(x93492)+~P107(f316(f54(x93491),x93495))+E(f316(f316(f57(x93491,x93492,f316(f316(f8(x93492,f905(x93492,x93492),x93491),f91(x93492)),x93493)),x93494),x93495),f316(f316(f91(x93492),x93494),f316(f316(f32(x93491,x93492),x93495),x93493)))
% 163.96/163.66 [9400]E(f316(x94001,x94002),f316(x94001,x94003))+P107(f316(f316(f225(a898),f316(x94001,x94002)),f316(x94001,x94003)))+~P107(f316(f316(f318(f904(x94004,x94004)),f316(f316(f241(x94004,x94004),x94002),x94003)),f143(x94004,f316(f316(f141(f905(x94004,a898)),x94001),x94005))))
% 163.96/163.66 [9433]~E(f316(x94334,x94332),f316(x94334,x94333))+~P107(f316(f316(f318(f904(x94331,x94331)),f316(f316(f241(x94331,x94331),x94332),x94333)),f143(x94331,x94335)))+P107(f316(f316(f318(f904(x94331,x94331)),f316(f316(f241(x94331,x94331),x94332),x94333)),f143(x94331,f316(f316(f141(f905(x94331,a898)),x94334),x94335))))
% 163.96/163.66 [9453]~P22(x94531,x94532,x94533,x94535)+P22(x94531,x94532,x94533,f316(f316(f298(x94531),x94534),x94535))+P107(f316(f316(f318(x94532),f316(x94533,x94534)),f316(f299(x94531,x94532,x94533),f316(f316(f23(f905(x94531,a895)),x94535),f316(f316(f298(x94531),x94534),f178(f905(x94531,a895)))))))
% 163.96/163.66 [9456]P107(f316(x94562,x94565))+~P107(f316(f316(f318(x94561),x94565),f316(f162(x94561),x94563)))+E(f316(f316(f128(x94561),f316(f179(f899(x94561)),f167(x94561,x94562,f316(f316(f124(x94561),x94563),x94564)))),f316(f316(f124(x94561),x94563),x94564)),f316(f316(f124(x94561),f316(f316(f128(x94561),f316(f179(f899(x94561)),f167(x94561,x94562,x94563))),x94563)),x94564))
% 163.96/163.66 [9461]~P107(f316(f316(f318(f904(x94611,x94611)),f316(f316(f241(x94611,x94611),x94612),x94613)),f143(x94611,x94615)))+~P107(f316(f316(f224(a898),f316(x94614,x94612)),f316(x94614,x94613)))+P107(f316(f316(f318(f904(x94611,x94611)),f316(f316(f241(x94611,x94611),x94612),x94613)),f143(x94611,f316(f316(f141(f905(x94611,a898)),x94614),x94615))))
% 163.96/163.66 [9526]P107(f316(f316(f318(f904(x95264,x95264)),f316(f316(f241(x95264,x95264),x95262),x95263)),f143(x95264,x95265)))+P107(f316(f316(f225(a898),f316(x95261,x95262)),f316(x95261,x95263)))+~P107(f316(f316(f318(f904(x95264,x95264)),f316(f316(f241(x95264,x95264),x95262),x95263)),f143(x95264,f316(f316(f141(f905(x95264,a898)),x95261),x95265))))
% 163.96/163.66 [9678]~P107(f316(f316(f318(f904(f899(x96781),f899(x96781))),f316(f316(f241(f899(x96781),f899(x96781)),x96782),x96784)),f148(x96781,x96785)))+~P107(f316(f316(f225(a898),x96783),f316(f179(f899(x96781)),x96782)))+P107(f316(f316(f318(f904(x96781,x96781)),f316(f316(f241(x96781,x96781),f316(f316(f154(x96781),x96782),x96783)),f316(f316(f154(x96781),x96784),x96783))),x96785))
% 163.96/163.66 [9923]E(x99231,f2(a1))+~P107(f316(f42(x99233,x99231),f316(f316(f241(a1,a1),x99234),x99235)))+P107(f316(f42(f316(f316(f75(a1),x99232),x99233),x99231),f316(f316(f241(a1,a1),f316(f316(f74(a1),f316(f316(f75(a1),x99232),x99234)),f316(f316(f29(a1),f316(f316(f75(a1),x99232),x99235)),x99231))),f38(a1,f316(f316(f75(a1),x99232),x99235),x99231))))
% 163.96/163.66 [9924]~P107(f316(f316(f225(a898),f2(a898)),x99243))+~P107(f316(f41(x99242,x99243),f316(f316(f241(a898,a898),x99244),x99245)))+P107(f316(f41(f316(f316(f75(a898),x99241),x99242),x99243),f316(f316(f241(a898,a898),f316(f316(f74(a898),f316(f316(f75(a898),x99241),x99244)),f316(f316(f29(a898),f316(f316(f75(a898),x99241),x99245)),x99243))),f38(a898,f316(f316(f75(a898),x99241),x99245),x99243))))
% 163.96/163.66 [10238]~P76(x102382)+~P107(f316(f54(x102381),x102384))+E(f316(f316(f6(x102381,x102382),x102383),f316(f251(x102381),f316(f316(f18(x102381,a895,a895),f316(f316(f8(a895,f905(a895,a895),x102381),a314),f316(f316(f7(x102381,f905(x102381,a895),a895),f318(x102381)),x102384))),f316(f316(f7(x102381,f905(x102381,a895),a895),f318(x102381)),x102385)))),f316(f316(f6(x102381,x102382),f316(f316(f7(x102381,x102382,x102382),f316(f316(f18(x102381,x102382,f905(x102382,x102382)),f316(f316(f8(a895,f905(x102382,f905(x102382,x102382)),x102381),f86(x102382)),f316(f316(f7(x102381,f905(x102381,a895),a895),f318(x102381)),x102385))),x102383)),f2(x102382))),x102384))
% 163.96/163.66 [8390]~E(f316(f316(f124(x83901),x83902),x83905),f316(f316(f124(x83901),x83903),x83904))+E(f316(f316(f124(x83901),f316(f316(f128(x83901),f316(f179(f899(x83901)),x83902)),x83903)),x83904),x83905)+P107(f316(f316(f224(a898),f316(f179(f899(x83901)),x83903)),f316(f179(f899(x83901)),x83902)))
% 163.96/163.66 [8586]~E(f316(f316(f124(x85862),x85863),x85861),f316(f316(f124(x85862),x85864),x85865))+E(x85861,f316(f316(f124(x85862),f316(f316(f128(x85862),f316(f179(f899(x85862)),x85863)),x85864)),x85865))+~P107(f316(f316(f224(a898),f316(f179(f899(x85862)),x85863)),f316(f179(f899(x85862)),x85864)))
% 163.96/163.66 [8673]~E(f316(f316(f74(a898),f316(f316(f75(a898),x86733),x86734)),x86731),f316(f316(f74(a898),f316(f316(f75(a898),x86732),x86734)),x86735))+~P107(f316(f316(f224(a898),x86733),x86732))+E(x86731,f316(f316(f74(a898),f316(f316(f75(a898),f316(f316(f23(a898),x86732),x86733)),x86734)),x86735))
% 163.96/163.66 [8674]~E(f316(f316(f74(a898),f316(f316(f75(a898),x86741),x86743)),x86744),f316(f316(f74(a898),f316(f316(f75(a898),x86742),x86743)),x86745))+~P107(f316(f316(f224(a898),x86742),x86741))+E(f316(f316(f74(a898),f316(f316(f75(a898),f316(f316(f23(a898),x86741),x86742)),x86743)),x86744),x86745)
% 163.96/163.66 [8847]E(f316(f316(f74(a898),f316(f316(f75(a898),x88471),x88472)),x88473),f316(f316(f74(a898),f316(f316(f75(a898),x88474),x88472)),x88475))+~P107(f316(f316(f224(a898),x88474),x88471))+~E(x88475,f316(f316(f74(a898),f316(f316(f75(a898),f316(f316(f23(a898),x88471),x88474)),x88472)),x88473))
% 163.96/163.66 [8848]E(f316(f316(f74(a898),f316(f316(f75(a898),x88481),x88482)),x88483),f316(f316(f74(a898),f316(f316(f75(a898),x88484),x88482)),x88485))+~P107(f316(f316(f224(a898),x88484),x88481))+~E(f316(f316(f74(a898),f316(f316(f75(a898),f316(f316(f23(a898),x88481),x88484)),x88482)),x88483),x88485)
% 163.96/163.66 [9731]~P65(x97312)+~P107(f316(f54(x97311),x97315))+E(f316(f316(f9(x97311,x97312),f316(f316(f18(x97311,x97312,x97312),f316(f316(f8(x97312,f905(x97312,x97312),x97311),f280(x97312)),x97313)),x97314)),x97315),f316(f316(f280(x97312),f316(f316(f9(x97311,x97312),x97313),x97315)),f316(f316(f9(x97311,x97312),x97314),x97315)))
% 163.96/163.66 [9863]~E(f607(x98635,x98634,x98633,x98632,x98631),f608(x98635,x98634,x98633,x98632,x98631))+P107(f316(f316(f318(f904(x98631,x98631)),f316(f316(f241(x98631,x98631),x98632),x98633)),f296(x98631,x98634)))+~P107(f316(f316(f318(f904(x98631,x98631)),f316(f316(f241(x98631,x98631),x98632),x98633)),f296(x98631,f316(f316(f100(f905(f904(x98631,x98631),a895)),x98634),x98635))))
% 163.96/163.66 [9864]~E(f616(x98645,x98644,x98643,x98642,x98641),f617(x98645,x98644,x98643,x98642,x98641))+P107(f316(f316(f318(f904(x98641,x98641)),f316(f316(f241(x98641,x98641),x98642),x98643)),f296(x98641,x98644)))+~P107(f316(f316(f318(f904(x98641,x98641)),f316(f316(f241(x98641,x98641),x98642),x98643)),f296(x98641,f316(f316(f100(f905(f904(x98641,x98641),a895)),x98644),x98645))))
% 163.96/163.66 [10058]P107(f316(f316(f318(f904(x100581,x100581)),f316(f316(f241(x100581,x100581),x100582),f617(x100585,x100584,x100583,x100582,x100581))),f296(x100581,x100584)))+P107(f316(f316(f318(f904(x100581,x100581)),f316(f316(f241(x100581,x100581),x100582),x100583)),f296(x100581,x100584)))+~P107(f316(f316(f318(f904(x100581,x100581)),f316(f316(f241(x100581,x100581),x100582),x100583)),f296(x100581,f316(f316(f100(f905(f904(x100581,x100581),a895)),x100584),x100585))))
% 163.96/163.66 [10149]P107(f316(f316(f318(f904(x101491,x101491)),f316(f316(f241(x101491,x101491),f608(x101495,x101494,x101493,x101492,x101491)),x101493)),f296(x101491,x101494)))+P107(f316(f316(f318(f904(x101491,x101491)),f316(f316(f241(x101491,x101491),x101492),x101493)),f296(x101491,x101494)))+~P107(f316(f316(f318(f904(x101491,x101491)),f316(f316(f241(x101491,x101491),x101492),x101493)),f296(x101491,f316(f316(f100(f905(f904(x101491,x101491),a895)),x101494),x101495))))
% 163.96/163.66 [10188]P107(f316(f316(f318(f904(x101881,x101881)),f316(f316(f241(x101881,x101881),x101882),x101883)),f296(x101881,x101884)))+P107(f316(f316(f318(f904(x101881,x101881)),f316(f316(f241(x101881,x101881),f607(x101885,x101884,x101883,x101882,x101881)),f608(x101885,x101884,x101883,x101882,x101881))),x101885))+~P107(f316(f316(f318(f904(x101881,x101881)),f316(f316(f241(x101881,x101881),x101882),x101883)),f296(x101881,f316(f316(f100(f905(f904(x101881,x101881),a895)),x101884),x101885))))
% 163.96/163.66 [10189]P107(f316(f316(f318(f904(x101891,x101891)),f316(f316(f241(x101891,x101891),x101892),x101893)),f296(x101891,x101894)))+P107(f316(f316(f318(f904(x101891,x101891)),f316(f316(f241(x101891,x101891),f617(x101895,x101894,x101893,x101892,x101891)),f616(x101895,x101894,x101893,x101892,x101891))),x101895))+~P107(f316(f316(f318(f904(x101891,x101891)),f316(f316(f241(x101891,x101891),x101892),x101893)),f296(x101891,f316(f316(f100(f905(f904(x101891,x101891),a895)),x101894),x101895))))
% 163.96/163.66 [10337]~P107(f316(f316(f318(f904(f899(x103371),f899(x103371))),f316(f316(f241(f899(x103371),f899(x103371)),x103374),x103375)),f148(x103371,x103372)))+~P107(f316(f316(f318(f904(x103371,x103371)),x103373),f316(f162(f904(x103371,x103371)),f316(f316(f171(x103371,x103371),x103374),x103375))))+P107(f316(f316(f246(x103371,x103371,a895),f316(f316(f7(x103371,f905(f904(x103371,x103371),a895),f905(x103371,a895)),f316(f316(f8(f905(x103371,f905(f905(f904(x103371,x103371),a895),a895)),f905(f905(f904(x103371,x103371),a895),f905(x103371,a895)),x103371),f7(x103371,f905(f904(x103371,x103371),a895),a895)),f316(f316(f8(f905(x103371,f904(x103371,x103371)),f905(x103371,f905(f905(f904(x103371,x103371),a895),a895)),x103371),f316(f8(f904(x103371,x103371),f905(f905(f904(x103371,x103371),a895),a895),x103371),f318(f904(x103371,x103371)))),f241(x103371,x103371)))),x103372)),x103373))
% 163.96/163.66 [9761]~P107(f316(f316(f224(a898),x97613),x97612))+~P107(f316(f316(f224(a898),f316(f316(f74(a898),f316(f316(f75(a898),x97613),x97614)),x97611)),f316(f316(f74(a898),f316(f316(f75(a898),x97612),x97614)),x97615)))+P107(f316(f316(f224(a898),x97611),f316(f316(f74(a898),f316(f316(f75(a898),f316(f316(f23(a898),x97612),x97613)),x97614)),x97615)))
% 163.96/163.66 [9762]~P107(f316(f316(f224(a898),x97623),x97622))+~P107(f316(f316(f225(a898),f316(f316(f74(a898),f316(f316(f75(a898),x97623),x97624)),x97621)),f316(f316(f74(a898),f316(f316(f75(a898),x97622),x97624)),x97625)))+P107(f316(f316(f225(a898),x97621),f316(f316(f74(a898),f316(f316(f75(a898),f316(f316(f23(a898),x97622),x97623)),x97624)),x97625)))
% 163.96/163.66 [9779]~P107(f316(f316(f224(a898),x97791),x97794))+P107(f316(f316(f224(a898),f316(f316(f74(a898),f316(f316(f75(a898),x97791),x97792)),x97793)),f316(f316(f74(a898),f316(f316(f75(a898),x97794),x97792)),x97795)))+~P107(f316(f316(f224(a898),x97793),f316(f316(f74(a898),f316(f316(f75(a898),f316(f316(f23(a898),x97794),x97791)),x97792)),x97795)))
% 163.96/163.66 [9780]~P107(f316(f316(f224(a898),x97801),x97804))+P107(f316(f316(f225(a898),f316(f316(f74(a898),f316(f316(f75(a898),x97801),x97802)),x97803)),f316(f316(f74(a898),f316(f316(f75(a898),x97804),x97802)),x97805)))+~P107(f316(f316(f225(a898),x97803),f316(f316(f74(a898),f316(f316(f75(a898),f316(f316(f23(a898),x97804),x97801)),x97802)),x97805)))
% 163.96/163.66 [9898]~P107(f316(f316(f224(a898),x98982),x98981))+~P107(f316(f316(f224(a898),f316(f316(f74(a898),f316(f316(f75(a898),x98981),x98983)),x98984)),f316(f316(f74(a898),f316(f316(f75(a898),x98982),x98983)),x98985)))+P107(f316(f316(f224(a898),f316(f316(f74(a898),f316(f316(f75(a898),f316(f316(f23(a898),x98981),x98982)),x98983)),x98984)),x98985))
% 163.96/163.66 [9899]~P107(f316(f316(f224(a898),x98992),x98991))+~P107(f316(f316(f225(a898),f316(f316(f74(a898),f316(f316(f75(a898),x98991),x98993)),x98994)),f316(f316(f74(a898),f316(f316(f75(a898),x98992),x98993)),x98995)))+P107(f316(f316(f225(a898),f316(f316(f74(a898),f316(f316(f75(a898),f316(f316(f23(a898),x98991),x98992)),x98993)),x98994)),x98995))
% 163.96/163.66 [9942]~P107(f316(f316(f224(a898),x99424),x99421))+P107(f316(f316(f224(a898),f316(f316(f74(a898),f316(f316(f75(a898),x99421),x99422)),x99423)),f316(f316(f74(a898),f316(f316(f75(a898),x99424),x99422)),x99425)))+~P107(f316(f316(f224(a898),f316(f316(f74(a898),f316(f316(f75(a898),f316(f316(f23(a898),x99421),x99424)),x99422)),x99423)),x99425))
% 163.96/163.66 [9943]~P107(f316(f316(f224(a898),x99434),x99431))+P107(f316(f316(f225(a898),f316(f316(f74(a898),f316(f316(f75(a898),x99431),x99432)),x99433)),f316(f316(f74(a898),f316(f316(f75(a898),x99434),x99432)),x99435)))+~P107(f316(f316(f225(a898),f316(f316(f74(a898),f316(f316(f75(a898),f316(f316(f23(a898),x99431),x99434)),x99432)),x99433)),x99435))
% 163.96/163.66 [10176]~P8(x101761,x101762,x101765,x101763)+~P107(f316(f316(f318(f904(x101761,x101761)),x101764),x101765))+P107(f316(f316(f246(x101761,x101761,a895),f316(f316(f7(x101761,f905(x101761,x101762),f905(x101761,a895)),f316(f316(f8(f905(x101762,a895),f905(f905(x101761,x101762),f905(x101761,a895)),x101761),f8(x101762,a895,x101761)),f316(f316(f8(x101762,f905(x101762,a895),x101761),a313),x101763))),x101763)),x101764))
% 163.96/163.66 [8550]~P16(x85506,x85501,x85502,x85504)+E(f316(f66(x85501,x85501,x85501,f316(x85502,x85503)),f316(x85504,x85505)),f316(f66(x85501,x85501,x85501,f316(x85504,x85505)),f316(x85502,x85503)))+~P107(f316(f54(x85506),x85505))
% 163.96/163.66 [8991]~P22(x89911,x89913,x89915,x89916)+~P22(x89913,x89912,x89914,f316(f299(x89911,x89913,x89915),x89916))+P22(x89911,x89912,f316(f66(x89913,x89912,x89911,x89914),x89915),x89916)
% 163.96/163.66 [9558]~P107(f316(f316(x95584,x95582),x95586))+~P107(f316(f316(x95583,x95585),x95582))+P107(f316(f316(f318(x95581),x95582),f286(x95581,x95583,x95584,x95585,x95586)))
% 163.96/163.66 [9559]~P107(f316(f316(x95593,x95592),x95596))+~P107(f316(f316(x95594,x95595),x95592))+P107(f316(f316(f318(x95591),x95592),f289(x95591,x95593,x95594,x95595,x95596)))
% 163.96/163.66 [9679]E(x96791,x96792)+E(x96793,x96794)+~P107(f316(f316(f318(f904(f899(x96795),f899(x96795))),f316(f316(f241(f899(x96795),f899(x96795)),f316(f316(f141(x96795),x96793),x96791)),f316(f316(f141(x96795),x96794),x96792))),f147(x96795,x96796)))
% 163.96/163.66 [9688]~E(x96882,x96884)+P107(f316(f316(f318(f904(f899(x96881),f899(x96881))),f316(f316(f241(f899(x96881),f899(x96881)),f316(f316(f141(x96881),x96882),x96883)),f316(f316(f141(x96881),x96884),x96885))),f135(x96881,x96886)))+~P107(f316(f316(f318(f904(f899(x96881),f899(x96881))),f316(f316(f241(f899(x96881),f899(x96881)),x96883),x96885)),f135(x96881,x96886)))
% 163.96/163.66 [9689]~E(x96892,x96894)+P107(f316(f316(f318(f904(f899(x96891),f899(x96891))),f316(f316(f241(f899(x96891),f899(x96891)),f316(f316(f141(x96891),x96892),x96893)),f316(f316(f141(x96891),x96894),x96895))),f137(x96891,x96896)))+~P107(f316(f316(f318(f904(f899(x96891),f899(x96891))),f316(f316(f241(f899(x96891),f899(x96891)),x96893),x96895)),f137(x96891,x96896)))
% 163.96/163.66 [9690]~E(x96902,x96904)+P107(f316(f316(f318(f904(f899(x96901),f899(x96901))),f316(f316(f241(f899(x96901),f899(x96901)),f316(f316(f141(x96901),x96902),x96903)),f316(f316(f141(x96901),x96904),x96905))),f147(x96901,x96906)))+~P107(f316(f316(f318(f904(f899(x96901),f899(x96901))),f316(f316(f241(f899(x96901),f899(x96901)),x96903),x96905)),f147(x96901,x96906)))
% 163.96/163.66 [9691]~E(x96912,x96914)+P107(f316(f316(f318(f904(f899(x96911),f899(x96911))),f316(f316(f241(f899(x96911),f899(x96911)),f316(f316(f124(x96911),x96912),x96913)),f316(f316(f124(x96911),x96914),x96915))),f147(x96911,x96916)))+~P107(f316(f316(f318(f904(f899(x96911),f899(x96911))),f316(f316(f241(f899(x96911),f899(x96911)),x96913),x96915)),f147(x96911,x96916)))
% 163.96/163.66 [9692]~E(x96923,x96925)+P107(f316(f316(f318(f904(f899(x96921),f899(x96921))),f316(f316(f241(f899(x96921),f899(x96921)),f316(f316(f124(x96921),x96922),x96923)),f316(f316(f124(x96921),x96924),x96925))),f147(x96921,x96926)))+~P107(f316(f316(f318(f904(f899(x96921),f899(x96921))),f316(f316(f241(f899(x96921),f899(x96921)),x96922),x96924)),f147(x96921,x96926)))
% 163.96/163.66 [9749]E(x97491,x97492)+P107(f316(f316(f318(f904(f899(x97493),f899(x97493))),f316(f316(f241(f899(x97493),f899(x97493)),x97491),x97492)),f147(x97493,x97494)))+~P107(f316(f316(f318(f904(f899(x97493),f899(x97493))),f316(f316(f241(f899(x97493),f899(x97493)),f316(f316(f141(x97493),x97495),x97491)),f316(f316(f141(x97493),x97496),x97492))),f147(x97493,x97494)))
% 163.96/163.66 [9902]~E(x99023,x99025)+P107(f316(f316(f318(f904(f899(x99021),f899(x99021))),f316(f316(f241(f899(x99021),f899(x99021)),f316(f316(f124(x99021),x99022),f316(f316(f141(x99021),x99023),f103(x99021)))),f316(f316(f124(x99021),x99024),f316(f316(f141(x99021),x99025),f103(x99021))))),f147(x99021,x99026)))+~P107(f316(f316(f318(f904(f899(x99021),f899(x99021))),f316(f316(f241(f899(x99021),f899(x99021)),x99022),x99024)),f147(x99021,x99026)))
% 163.96/163.66 [9946]E(x99461,x99462)+E(x99463,x99464)+~P107(f316(f316(f318(f904(f899(x99465),f899(x99465))),f316(f316(f241(f899(x99465),f899(x99465)),f316(f316(f124(x99465),x99463),f316(f316(f141(x99465),x99461),f103(x99465)))),f316(f316(f124(x99465),x99464),f316(f316(f141(x99465),x99462),f103(x99465))))),f147(x99465,x99466)))
% 163.96/163.66 [9973]E(x99731,x99732)+~P107(f316(f316(f318(f904(f899(x99733),f899(x99733))),f316(f316(f241(f899(x99733),f899(x99733)),f316(f316(f124(x99733),x99731),f316(f316(f141(x99733),x99735),f103(x99733)))),f316(f316(f124(x99733),x99732),f316(f316(f141(x99733),x99736),f103(x99733))))),f147(x99733,x99734)))+P107(f316(f316(f318(f904(f899(x99733),f899(x99733))),f316(f316(f241(f899(x99733),f899(x99733)),x99731),x99732)),f147(x99733,x99734)))
% 163.96/163.66 [10011]~P107(f316(f316(f318(f904(f905(x100111,a895),f905(x100111,a895))),f316(f316(f241(f905(x100111,a895),f905(x100111,a895)),x100112),x100114)),f307(x100111,x100116)))+~P107(f316(f316(f318(f904(f905(x100111,a895),f905(x100111,a895))),f316(f316(f241(f905(x100111,a895),f905(x100111,a895)),x100113),x100115)),f307(x100111,x100116)))+P107(f316(f316(f318(f904(f905(x100111,a895),f905(x100111,a895))),f316(f316(f241(f905(x100111,a895),f905(x100111,a895)),f316(f316(f100(f905(x100111,a895)),x100112),x100113)),f316(f316(f100(f905(x100111,a895)),x100114),x100115))),f307(x100111,x100116)))
% 163.96/163.66 [5750]~E(f316(f316(f124(x57501),x57506),x57503),x57505)+E(f316(f316(f124(x57501),x57502),x57503),f316(f316(f141(x57501),x57504),x57505))+~E(x57502,f316(f316(f141(x57501),x57504),x57506))
% 163.96/163.66 [5751]~E(f316(f316(f124(x57511),x57516),x57513),x57515)+E(f316(f316(f124(x57511),x57512),x57513),f316(f316(f124(x57511),x57514),x57515))+~E(x57512,f316(f316(f124(x57511),x57514),x57516))
% 163.96/163.66 [5753]E(f316(f316(f124(x57531),x57532),x57533),f316(f316(f141(x57531),x57534),x57535))+~E(f316(f316(f141(x57531),x57534),x57536),x57532)+~E(x57535,f316(f316(f124(x57531),x57536),x57533))
% 163.96/163.66 [5755]~E(f316(f316(f124(x57551),x57552),x57556),x57554)+E(f316(f316(f124(x57551),x57552),x57553),f316(f316(f124(x57551),x57554),x57555))+~E(x57553,f316(f316(f124(x57551),x57556),x57555))
% 163.96/163.66 [6928]E(f316(x69281,x69282),f316(x69283,x69282))+~E(f316(f316(f144(x69284,x69285),x69281),x69286),f316(f316(f144(x69284,x69285),x69283),x69286))+~P107(f316(f316(f318(x69284),x69282),f316(f162(x69284),x69286)))
% 163.96/163.66 [7317]~P16(x73174,x73175,x73176,x73171)+E(f316(f316(x73171,x73172),x73173),f316(f316(f57(x73174,x73175,x73176),x73173),x73172))+~P107(f316(f54(x73174),x73172))
% 163.96/163.66 [7388]~E(x73882,f316(x73884,x73886))+~P107(f316(f316(f318(x73883),x73886),x73885))+P107(f316(f316(f318(x73881),x73882),f316(f299(x73883,x73881,x73884),x73885)))
% 163.96/163.66 [7389]~E(f316(x73894,x73892),x73896)+~P107(f316(f316(f318(x73893),x73896),x73895))+P107(f316(f316(f318(x73891),x73892),f316(f300(x73891,x73893,x73894),x73895)))
% 163.96/163.66 [7839]~P31(x78391,x78392,x78394,x78396)+P31(x78391,x78392,f316(f316(f141(x78391),x78393),x78394),f316(f316(f141(x78391),x78395),x78396))+~P107(f316(f316(x78392,x78393),x78395))
% 163.96/163.66 [8857]~P55(x88574,x88575,x88571,x88572,x88576)+E(f316(x88571,f316(x88572,x88573)),x88573)+~P107(f316(f316(f318(x88575),x88573),x88576))
% 163.96/163.66 [9358]~P23(x93582,x93581,x93585,x93584,x93583)+E(f316(f85(x93581,x93582,x93583,f85(x93582,x93581,x93584,x93585)),x93586),f316(x93585,x93586))+~P107(f316(f316(f318(x93582),x93586),x93584))
% 163.96/163.66 [9369]~P22(x93691,x93692,x93693,x93696)+P22(x93691,x93692,f68(x93691,x93692,x93693,x93694,x93695),x93696)+P107(f316(f316(f318(x93692),x93695),f316(f299(x93691,x93692,x93693),x93696)))
% 163.96/163.66 [9681]E(x96811,x96812)+E(f316(f179(f899(x96813)),x96814),f316(f179(f899(x96813)),x96815))+~P107(f316(f316(f318(f904(f899(x96813),f899(x96813))),f316(f316(f241(f899(x96813),f899(x96813)),f316(f316(f141(x96813),x96811),x96814)),f316(f316(f141(x96813),x96812),x96815))),f135(x96813,x96816)))
% 163.96/163.66 [9744]~P13(x97441,x97442,x97443)+E(f316(f316(f57(x97441,x97442,x97443),x97444),x97445),x97446)+~P107(f316(f59(x97441,x97442,x97443,x97444,x97445),x97446))
% 163.96/163.66 [9752]E(f316(f179(f899(x97521)),x97522),f316(f179(f899(x97521)),x97523))+P107(f316(f316(f318(f904(f899(x97521),f899(x97521))),f316(f316(f241(f899(x97521),f899(x97521)),x97522),x97523)),f135(x97521,x97524)))+~P107(f316(f316(f318(f904(f899(x97521),f899(x97521))),f316(f316(f241(f899(x97521),f899(x97521)),f316(f316(f141(x97521),x97525),x97522)),f316(f316(f141(x97521),x97526),x97523))),f135(x97521,x97524)))
% 163.96/163.66 [9773]~P107(f316(f316(f318(f904(x97731,x97731)),f316(f316(f241(x97731,x97731),x97732),x97734)),f296(x97731,x97736)))+P107(f316(f316(f318(f904(f899(x97731),f899(x97731))),f316(f316(f241(f899(x97731),f899(x97731)),f316(f316(f141(x97731),x97732),x97733)),f316(f316(f141(x97731),x97734),x97735))),f296(f899(x97731),f147(x97731,x97736))))+~P107(f316(f316(f318(f904(f899(x97731),f899(x97731))),f316(f316(f241(f899(x97731),f899(x97731)),x97733),x97735)),f296(f899(x97731),f147(x97731,x97736))))
% 163.96/163.66 [9952]~P107(f316(x99522,x99526))+~E(f316(f126(x99521,x99522),x99523),f316(f316(f141(x99521),x99524),x99525))+~P107(f316(f316(f318(x99521),x99526),f316(f162(x99521),f736(x99525,x99524,x99523,x99522,x99521))))
% 163.96/163.66 [9953]~P107(f316(x99534,x99536))+~E(f316(f316(f141(x99531),x99532),x99533),f316(f126(x99531,x99534),x99535))+~P107(f316(f316(f318(x99531),x99536),f316(f162(x99531),f738(x99535,x99534,x99533,x99532,x99531))))
% 163.96/163.66 [10273]~P76(x102732)+E(f316(f316(f6(x102731,x102732),f316(f316(f8(f905(x102733,a895),x102732,x102731),f316(f6(x102733,x102732),x102734)),f316(f316(f8(f905(x102733,a895),f905(x102733,a895),x102731),f251(x102733)),f316(f316(f8(f905(x102733,a895),f905(x102733,a895),x102731),f316(f18(x102733,a895,a895),f316(f316(f8(a895,f905(a895,a895),x102733),a314),f316(f316(f7(x102733,f905(x102733,a895),a895),f318(x102733)),x102735)))),f316(f7(x102733,x102731,a895),f316(f316(f8(x102731,f905(x102731,a895),x102733),a313),x102736)))))),f316(f299(x102733,x102731,x102736),x102735)),f316(f316(f6(x102733,x102732),x102734),x102735))+~P107(f316(f54(x102733),x102735))
% 163.96/163.66 [6986]~P108(x69863)+P107(f316(x69862,x69865))+E(f316(f126(x69861,x69862),f316(f316(f138(x69861,x69863,x69864),x69865),x69866)),f316(f126(x69861,x69862),x69866))
% 163.96/163.66 [6988]P107(f316(x69881,x69882))+~E(f156(x69883,x69881,x69884),f316(f316(f241(f899(x69883),f899(x69883)),x69885),x69886))+~P107(f316(f316(f318(x69883),x69882),f316(f162(x69883),x69885)))
% 163.96/163.66 [7031]~P107(f316(x70312,x70316))+~E(f156(x70311,x70312,x70313),f316(f316(f241(f899(x70311),f899(x70311)),x70314),x70315))+~P107(f316(f316(f318(x70311),x70316),f316(f162(x70311),x70315)))
% 163.96/163.66 [7701]~P11(x77011,x77012,x77013)+~P107(f316(f54(x77011),x77016))+E(f316(f316(f57(x77011,x77012,x77013),x77014),f316(f316(f298(x77011),x77015),x77016)),f316(f316(f57(x77011,x77012,x77013),f316(f316(x77013,x77015),x77014)),x77016))
% 163.96/163.66 [7754]~P108(x77542)+~P107(f316(f316(f224(x77542),f316(x77543,x77544)),f316(x77543,x77545)))+E(f316(f316(f138(x77541,x77542,x77543),x77544),f316(f316(f141(x77541),x77545),x77546)),f316(f316(f141(x77541),x77544),f316(f316(f141(x77541),x77545),x77546)))
% 163.96/163.66 [7867]E(x78671,x78672)+~E(f316(f316(f243(x78673,x78674),x78671),f316(f16(f905(x78674,a895),x78673),x78675)),f316(f316(f243(x78673,x78674),x78672),f316(f16(f905(x78674,a895),x78673),x78675)))+~P107(f316(f316(f318(x78674),x78676),x78675))
% 163.96/163.66 [7934]~P11(x79341,x79342,x79343)+~P107(f316(f54(x79341),x79346))+E(f316(f316(f57(x79341,x79342,x79343),x79344),f316(f316(f298(x79341),x79345),x79346)),f316(f316(x79343,x79345),f316(f316(f57(x79341,x79342,x79343),x79344),x79346)))
% 163.96/163.66 [8053]~P13(x80531,x80532,x80533)+~P107(f316(f54(x80531),x80536))+E(f316(f316(f57(x80531,x80532,x80533),f316(f316(x80533,x80534),x80535)),x80536),f316(f316(x80533,x80534),f316(f316(f57(x80531,x80532,x80533),x80535),x80536)))
% 163.96/163.66 [8122]~P17(x81222,x81225,x81226,x81221)+~P107(f316(f54(x81222),x81224))+E(f316(x81221,f316(f316(f298(x81222),x81223),x81224)),f316(f66(x81225,x81225,x81225,f316(x81221,x81224)),f316(x81226,x81223)))
% 163.96/163.66 [8154]~P108(x81542)+P107(f316(f316(f224(x81542),f316(x81543,x81544)),f316(x81543,x81545)))+E(f316(f316(f138(x81541,x81542,x81543),x81544),f316(f316(f141(x81541),x81545),x81546)),f316(f316(f141(x81541),x81545),f316(f316(f138(x81541,x81542,x81543),x81544),x81546)))
% 163.96/163.66 [8296]~E(f316(f179(f899(x82961)),x82965),f316(f179(f899(x82962)),x82966))+~E(f316(f179(f899(x82961)),x82963),f316(f179(f899(x82962)),x82964))+E(f316(f316(f124(f904(x82961,x82962)),f316(f316(f171(x82961,x82962),x82963),x82964)),f316(f316(f171(x82961,x82962),x82965),x82966)),f316(f316(f171(x82961,x82962),f316(f316(f124(x82961),x82963),x82965)),f316(f316(f124(x82962),x82964),x82966)))
% 163.96/163.66 [8408]~E(x84082,f316(f299(x84083,x84081,x84084),x84086))+P107(f316(f316(f224(f905(x84081,a895)),x84082),f316(f299(x84083,x84081,x84084),x84085)))+~P107(f316(f316(f224(f905(x84083,a895)),x84086),x84085))
% 163.96/163.66 [8510]~P108(x85105)+E(f316(x85101,x85102),f316(x85101,x85103))+E(f316(f316(f138(x85104,x85105,x85101),x85102),f316(f316(f138(x85104,x85105,x85101),x85103),x85106)),f316(f316(f138(x85104,x85105,x85101),x85103),f316(f316(f138(x85104,x85105,x85101),x85102),x85106)))
% 163.96/163.66 [8684]~P107(f316(f316(f318(x86842),x86844),f316(x86846,x86843)))+~P107(f316(f316(f318(x86841),x86843),x86845))+P107(f316(f316(f318(f904(x86841,x86842)),f316(f316(f241(x86841,x86842),x86843),x86844)),f316(f316(f243(x86841,x86842),x86845),x86846)))
% 163.96/163.66 [9165]~P72(x91652)+~P22(x91654,x91651,x91655,x91656)+E(f316(f316(f9(x91651,x91652),x91653),f316(f299(x91654,x91651,x91655),x91656)),f316(f316(f9(x91654,x91652),f316(f66(x91651,x91652,x91654,x91653),x91655)),x91656))
% 163.96/163.66 [9166]~P76(x91662)+~P22(x91664,x91661,x91665,x91666)+E(f316(f316(f6(x91661,x91662),x91663),f316(f299(x91664,x91661,x91665),x91666)),f316(f316(f6(x91664,x91662),f316(f66(x91661,x91662,x91664,x91663),x91665)),x91666))
% 163.96/163.66 [9213]~P33(x92132,x92135,x92131,x92133,x92136)+P107(f316(f316(x92131,f316(f316(f154(x92132),x92133),x92134)),f316(f316(f154(x92135),x92136),x92134)))+~P107(f316(f316(f225(a898),x92134),f316(f179(f899(x92135)),x92136)))
% 163.96/163.66 [9214]~P33(x92142,x92145,x92141,x92143,x92146)+P107(f316(f316(x92141,f316(f316(f154(x92142),x92143),x92144)),f316(f316(f154(x92145),x92146),x92144)))+~P107(f316(f316(f225(a898),x92144),f316(f179(f899(x92142)),x92143)))
% 163.96/163.66 [9225]~E(f316(f299(x92251,x92252,x92253),x92254),x92256)+E(f316(f299(x92251,x92252,x92253),f316(f299(x92252,x92251,f85(x92251,x92252,x92254,x92253)),x92255)),x92255)+~P107(f316(f316(f224(f905(x92252,a895)),x92255),x92256))
% 163.96/163.66 [9428]~P16(x94283,x94281,x94286,x94282)+~P107(f316(f54(x94283),x94284))+E(f316(f66(x94281,x94281,x94281,f316(x94282,f316(f316(f23(f905(x94283,a895)),x94284),f316(f316(f298(x94283),x94285),f178(f905(x94283,a895)))))),f316(x94286,x94285)),f316(x94282,f316(f316(f298(x94283),x94285),x94284)))
% 163.96/163.66 [10040]~E(f316(f299(x100402,x100404,x100406),f231(f905(x100402,a895))),f231(f905(x100404,a895)))+~E(f316(f299(x100401,x100403,x100405),f231(f905(x100401,a895))),f231(f905(x100403,a895)))+E(f316(f299(f904(x100401,x100402),f904(x100403,x100404),f247(x100401,x100403,x100402,x100404,x100405,x100406)),f231(f905(f904(x100401,x100402),a895))),f231(f905(f904(x100403,x100404),a895)))
% 163.96/163.66 [10099]~P22(x100993,x100994,x100995,f316(x100996,f866(x100996,x100995,x100994,x100993,x100992,x100991)))+P22(x100993,x100994,x100995,f316(f316(f32(x100992,f905(x100993,a895)),x100991),x100996))+E(x100991,f178(f905(x100992,a895)))
% 163.96/163.66 [10156]P22(x101566,x101565,x101564,f316(f316(f32(x101562,f905(x101566,a895)),x101561),x101563))+E(x101561,f178(f905(x101562,a895)))+P107(f316(f316(f318(x101562),f866(x101563,x101564,x101565,x101566,x101562,x101561)),x101561))
% 163.96/163.66 [10161]P107(f316(f316(f318(x101611),f592(x101612,x101613,x101614,x101615,x101616,x101611)),x101616))+P107(f316(f316(f224(f905(f904(x101611,x101614),a895)),f316(f316(f243(x101611,x101614),x101616),x101613)),f316(f316(f243(x101611,x101614),x101615),x101612)))+~P107(f316(f316(f224(f905(x101611,a895)),x101616),x101615))
% 163.96/163.66 [10291]~P107(f316(f316(f224(f905(x102912,a895)),f316(x102914,f592(x102916,x102914,x102912,x102915,x102913,x102911))),f316(x102916,f592(x102916,x102914,x102912,x102915,x102913,x102911))))+~P107(f316(f316(f224(f905(x102911,a895)),x102913),x102915))+P107(f316(f316(f224(f905(f904(x102911,x102912),a895)),f316(f316(f243(x102911,x102912),x102913),x102914)),f316(f316(f243(x102911,x102912),x102915),x102916)))
% 163.96/163.66 [7889]~P107(f316(x78891,x78895))+~P107(f316(x78896,x78894))+P107(f316(x78891,f316(f245(x78892,x78893),f316(f316(f241(x78892,x78893),x78894),x78895))))
% 163.96/163.66 [7890]~P107(f316(x78901,x78904))+~P107(f316(x78906,x78905))+P107(f316(x78901,f316(f240(x78902,x78903),f316(f316(f241(x78902,x78903),x78904),x78905))))
% 163.96/163.66 [7939]~P107(f316(f316(x79394,x79396),x79395))+~P107(f316(f316(f318(x79391),x79396),x79393))+P107(f316(f316(f316(f33(x79391,f905(x79392,a895)),x79393),x79394),x79395))
% 163.96/163.66 [8246]~P107(f316(f316(f318(x82461),x82462),f316(x82465,x82466)))+~P107(f316(f316(f318(x82463),x82466),x82464))+P107(f316(f316(f318(x82461),x82462),f316(f316(f33(x82463,f905(x82461,a895)),x82464),x82465)))
% 163.96/163.66 [8290]P107(f316(f316(x82901,x82902),x82903))+~P107(f316(f316(x82904,x82902),x82903))+~P107(f316(f316(f224(f905(x82905,f905(x82906,a895))),x82904),x82901))
% 163.96/163.66 [8431]P107(f316(f316(x84311,x84312),x84313))+~P107(f316(f316(f318(x84314),x84312),x84315))+~P107(f316(f316(f316(f32(x84314,f905(x84316,a895)),x84315),x84311),x84313))
% 163.96/163.66 [8565]P107(f316(f316(f318(x85651),x85652),f316(x85653,x85654)))+~P107(f316(f316(f318(x85655),x85654),x85656))+~P107(f316(f316(f318(x85651),x85652),f316(f316(f32(x85655,f905(x85651,a895)),x85656),x85653)))
% 163.96/163.66 [8836]~P8(x88364,x88365,x88366,x88361)+E(f316(x88361,x88362),f316(x88361,x88363))+~P107(f316(f316(f318(f904(x88364,x88364)),f316(f316(f241(x88364,x88364),x88362),x88363)),x88366))
% 163.96/163.66 [8871]P107(f316(f316(f224(f905(x88711,a895)),x88712),f316(x88713,x88714)))+~P107(f316(f316(f318(x88715),x88714),x88716))+~P107(f316(f316(f224(f905(x88711,a895)),x88712),f316(f316(f32(x88715,f905(x88711,a895)),x88716),x88713)))
% 163.96/163.66 [8904]~P51(x89043,x89044,f316(f275(x89044,x89043),x89045))+E(x89041,f178(f905(x89042,a895)))+E(f316(f316(f32(x89042,f905(x89043,a895)),x89041),f316(f316(f8(f905(x89044,a895),f905(x89043,a895),x89042),f274(x89044,x89043,x89045)),x89046)),f316(f274(x89044,x89043,x89045),f316(f316(f32(x89042,f905(x89044,a895)),x89041),x89046)))
% 163.96/163.66 [8982]P107(f316(f316(f318(x89821),x89822),f316(f274(x89823,x89821,x89824),x89825)))+~P107(f316(f316(f318(x89823),x89826),x89825))+~P107(f316(f316(f318(f904(x89823,x89821)),f316(f316(f241(x89823,x89821),x89826),x89822)),x89824))
% 163.96/163.66 [9290]P107(f316(f316(f224(f905(x92901,a895)),f316(f274(x92902,x92901,x92903),x92904)),f316(f274(x92902,x92901,x92905),x92906)))+~P107(f316(f316(f224(f905(x92902,a895)),x92904),x92906))+~P107(f316(f316(f224(f905(f904(x92902,x92901),a895)),x92903),x92905))
% 163.96/163.66 [9477]~P107(f316(f316(f318(x94772),x94776),x94774))+~P107(f316(f316(f224(f905(x94771,a895)),x94773),x94775))+P107(f316(f316(f224(f905(f904(x94771,x94772),a895)),f316(f316(f243(x94771,x94772),x94773),f316(f16(f905(x94772,a895),x94771),x94774))),f316(f316(f243(x94771,x94772),x94775),f316(f16(f905(x94772,a895),x94771),x94774))))
% 163.96/163.66 [9489]~P33(x94891,x94892,x94893,x94895,x94896)+P107(f316(f316(f246(x94891,x94892,a895),x94893),x94894))+~P107(f316(f316(f318(f904(x94891,x94892)),x94894),f316(f162(f904(x94891,x94892)),f316(f316(f171(x94891,x94892),x94895),x94896))))
% 163.96/163.66 [9635]~E(x96353,x96355)+P107(f316(f316(f318(f904(f899(x96351),f899(x96351))),f316(f316(f241(f899(x96351),f899(x96351)),f316(f316(f141(x96351),x96352),x96353)),f316(f316(f141(x96351),x96354),x96355))),f147(x96351,x96356)))+~P107(f316(f316(f318(f904(x96351,x96351)),f316(f316(f241(x96351,x96351),x96352),x96354)),x96356))
% 163.96/163.66 [9641]~E(f316(f179(f899(x96411)),x96413),f316(f179(f899(x96411)),x96415))+P107(f316(f316(f318(f904(f899(x96411),f899(x96411))),f316(f316(f241(f899(x96411),f899(x96411)),f316(f316(f141(x96411),x96412),x96413)),f316(f316(f141(x96411),x96414),x96415))),f135(x96411,x96416)))+~P107(f316(f316(f318(f904(x96411,x96411)),f316(f316(f241(x96411,x96411),x96412),x96414)),x96416))
% 163.96/163.66 [9673]P107(f316(f316(f318(f904(x96731,x96731)),f316(f316(f241(x96731,x96731),x96732),x96733)),f316(f316(f173(f904(x96731,x96731),a895),f316(a102,x96734)),x96735)))+~P107(f316(f316(f318(f904(x96731,x96731)),f316(f316(f241(x96731,x96731),x96736),x96733)),x96735))+~P107(f316(f316(f318(f904(x96731,x96731)),f316(f316(f241(x96731,x96731),x96732),x96736)),f316(f316(f173(f904(x96731,x96731),a895),x96734),x96735)))
% 163.96/163.66 [9674]P107(f316(f316(f318(f904(x96741,x96741)),f316(f316(f241(x96741,x96741),x96742),x96743)),f316(f316(f173(f904(x96741,x96741),a895),f316(a102,x96744)),x96745)))+~P107(f316(f316(f318(f904(x96741,x96741)),f316(f316(f241(x96741,x96741),x96742),x96746)),x96745))+~P107(f316(f316(f318(f904(x96741,x96741)),f316(f316(f241(x96741,x96741),x96746),x96743)),f316(f316(f173(f904(x96741,x96741),a895),x96744),x96745)))
% 163.96/163.66 [9677]~P107(f316(f316(f318(x96774),x96775),x96776))+P107(f316(f316(f224(f905(x96771,a895)),x96772),x96773))+~P107(f316(f316(f224(f905(f904(x96771,x96774),a895)),f316(f316(f243(x96771,x96774),x96772),f316(f16(f905(x96774,a895),x96771),x96776))),f316(f316(f243(x96771,x96774),x96773),f316(f16(f905(x96774,a895),x96771),x96776))))
% 163.96/163.66 [9722]E(x97221,x97222)+~P107(f316(f316(f318(f904(f899(x97223),f899(x97223))),f316(f316(f241(f899(x97223),f899(x97223)),f316(f316(f141(x97223),x97221),x97225)),f316(f316(f141(x97223),x97222),x97226))),f135(x97223,x97224)))+P107(f316(f316(f318(f904(x97223,x97223)),f316(f316(f241(x97223,x97223),x97221),x97222)),x97224))
% 163.96/163.66 [9723]E(x97231,x97232)+~P107(f316(f316(f318(f904(f899(x97233),f899(x97233))),f316(f316(f241(f899(x97233),f899(x97233)),f316(f316(f141(x97233),x97231),x97235)),f316(f316(f141(x97233),x97232),x97236))),f137(x97233,x97234)))+P107(f316(f316(f318(f904(x97233,x97233)),f316(f316(f241(x97233,x97233),x97231),x97232)),x97234))
% 163.96/163.66 [9724]E(x97241,x97242)+~P107(f316(f316(f318(f904(f899(x97243),f899(x97243))),f316(f316(f241(f899(x97243),f899(x97243)),f316(f316(f141(x97243),x97241),x97245)),f316(f316(f141(x97243),x97242),x97246))),f147(x97243,x97244)))+P107(f316(f316(f318(f904(x97243,x97243)),f316(f316(f241(x97243,x97243),x97241),x97242)),x97244))
% 163.96/163.66 [9760]P107(f316(f316(f318(f904(f899(x97601),f899(x97601))),f316(f316(f241(f899(x97601),f899(x97601)),f316(f316(f141(x97601),x97602),x97603)),f316(f316(f141(x97601),x97604),x97605))),f148(x97601,x97606)))+~P107(f316(f316(f318(f904(f899(x97601),f899(x97601))),f316(f316(f241(f899(x97601),f899(x97601)),x97603),x97605)),f148(x97601,x97606)))+~P107(f316(f316(f318(f904(x97601,x97601)),f316(f316(f241(x97601,x97601),x97602),x97604)),x97606))
% 163.96/163.66 [9777]P107(f316(x97771,x97772))+~P107(f316(x97771,f339(x97771,x97773,x97774,x97775,x97776)))+~P107(f316(f316(f318(x97776),x97772),f316(f316(f33(x97775,f905(x97776,a895)),x97774),x97773)))
% 163.96/163.66 [9782]~P107(f316(f316(f318(f904(f899(x97821),f899(x97821))),f316(f316(f241(f899(x97821),f899(x97821)),f316(f316(f141(x97821),x97822),x97825)),f316(f316(f141(x97821),x97823),x97826))),f135(x97821,x97824)))+P107(f316(f316(f318(f904(f899(x97821),f899(x97821))),f316(f316(f241(f899(x97821),f899(x97821)),x97825),x97826)),f135(x97821,x97824)))+P107(f316(f316(f318(f904(x97821,x97821)),f316(f316(f241(x97821,x97821),x97822),x97823)),x97824))
% 163.96/163.66 [9783]~P107(f316(f316(f318(f904(f899(x97831),f899(x97831))),f316(f316(f241(f899(x97831),f899(x97831)),f316(f316(f141(x97831),x97832),x97835)),f316(f316(f141(x97831),x97833),x97836))),f137(x97831,x97834)))+P107(f316(f316(f318(f904(f899(x97831),f899(x97831))),f316(f316(f241(f899(x97831),f899(x97831)),x97835),x97836)),f137(x97831,x97834)))+P107(f316(f316(f318(f904(x97831,x97831)),f316(f316(f241(x97831,x97831),x97832),x97833)),x97834))
% 163.96/163.66 [9784]~P107(f316(f316(f318(f904(f899(x97841),f899(x97841))),f316(f316(f241(f899(x97841),f899(x97841)),f316(f316(f141(x97841),x97842),x97845)),f316(f316(f141(x97841),x97843),x97846))),f147(x97841,x97844)))+P107(f316(f316(f318(f904(f899(x97841),f899(x97841))),f316(f316(f241(f899(x97841),f899(x97841)),x97845),x97846)),f147(x97841,x97844)))+P107(f316(f316(f318(f904(x97841,x97841)),f316(f316(f241(x97841,x97841),x97842),x97843)),x97844))
% 163.96/163.66 [9874]P107(f316(x98741,x98742))+P107(f316(f316(f318(x98743),f893(x98741,x98744,x98745,x98743,x98746)),x98745))+~P107(f316(f316(f318(x98746),x98742),f316(f316(f33(x98743,f905(x98746,a895)),x98745),x98744)))
% 163.96/163.66 [9885]~E(x98852,x98854)+P107(f316(f316(f318(f904(f899(x98851),f899(x98851))),f316(f316(f241(f899(x98851),f899(x98851)),f316(f316(f124(x98851),x98852),f316(f316(f141(x98851),x98853),f103(x98851)))),f316(f316(f124(x98851),x98854),f316(f316(f141(x98851),x98855),f103(x98851))))),f147(x98851,x98856)))+~P107(f316(f316(f318(f904(x98851,x98851)),f316(f316(f241(x98851,x98851),x98853),x98855)),x98856))
% 163.96/163.66 [9961]E(x99611,x99612)+~P107(f316(f316(f318(f904(f899(x99613),f899(x99613))),f316(f316(f241(f899(x99613),f899(x99613)),f316(f316(f124(x99613),x99615),f316(f316(f141(x99613),x99611),f103(x99613)))),f316(f316(f124(x99613),x99616),f316(f316(f141(x99613),x99612),f103(x99613))))),f147(x99613,x99614)))+P107(f316(f316(f318(f904(x99613,x99613)),f316(f316(f241(x99613,x99613),x99611),x99612)),x99614))
% 163.96/163.66 [9992]~P107(f316(f316(f318(f904(f899(x99921),f899(x99921))),f316(f316(f241(f899(x99921),f899(x99921)),f316(f316(f124(x99921),x99925),f316(f316(f141(x99921),x99922),f103(x99921)))),f316(f316(f124(x99921),x99926),f316(f316(f141(x99921),x99923),f103(x99921))))),f147(x99921,x99924)))+P107(f316(f316(f318(f904(f899(x99921),f899(x99921))),f316(f316(f241(f899(x99921),f899(x99921)),x99925),x99926)),f147(x99921,x99924)))+P107(f316(f316(f318(f904(x99921,x99921)),f316(f316(f241(x99921,x99921),x99922),x99923)),x99924))
% 163.96/163.66 [10012]P107(f316(x100121,x100122))+P107(f316(f316(f318(x100123),f339(x100121,x100124,x100125,x100126,x100123)),f316(x100124,f893(x100121,x100124,x100125,x100126,x100123))))+~P107(f316(f316(f318(x100123),x100122),f316(f316(f33(x100126,f905(x100123,a895)),x100125),x100124)))
% 163.96/163.66 [10165]P107(f316(f316(f318(x101651),f524(x101652,x101653,x101654,x101655,x101656,x101651)),x101655))+~P107(f316(f316(f224(f905(x101651,a895)),x101656),x101655))+P107(f316(f316(f224(f905(x101654,a895)),f316(f316(f32(x101651,f905(x101654,a895)),x101655),x101653)),f316(f316(f32(x101651,f905(x101654,a895)),x101655),x101652)))
% 163.96/163.66 [10166]P107(f316(f316(f318(x101661),f543(x101662,x101663,x101664,x101665,x101666,x101661)),x101666))+~P107(f316(f316(f224(f905(x101661,a895)),x101666),x101665))+P107(f316(f316(f224(f905(x101664,a895)),f316(f316(f33(x101661,f905(x101664,a895)),x101666),x101663)),f316(f316(f33(x101661,f905(x101664,a895)),x101665),x101662)))
% 163.96/163.66 [10292]~P107(f316(f316(f224(f905(x102921,a895)),f316(x102924,f524(x102925,x102924,x102921,x102923,x102926,x102922))),f316(x102925,f524(x102925,x102924,x102921,x102923,x102926,x102922))))+~P107(f316(f316(f224(f905(x102922,a895)),x102926),x102923))+P107(f316(f316(f224(f905(x102921,a895)),f316(f316(f32(x102922,f905(x102921,a895)),x102923),x102924)),f316(f316(f32(x102922,f905(x102921,a895)),x102923),x102925)))
% 163.96/163.66 [10293]~P107(f316(f316(f224(f905(x102931,a895)),f316(x102934,f543(x102936,x102934,x102931,x102935,x102933,x102932))),f316(x102936,f543(x102936,x102934,x102931,x102935,x102933,x102932))))+~P107(f316(f316(f224(f905(x102932,a895)),x102933),x102935))+P107(f316(f316(f224(f905(x102931,a895)),f316(f316(f33(x102932,f905(x102931,a895)),x102933),x102934)),f316(f316(f33(x102932,f905(x102931,a895)),x102935),x102936)))
% 163.96/163.66 [9002]~P13(x90023,x90024,x90021)+~P107(f316(f54(x90023),x90026))+E(f316(f316(x90021,x90022),f316(f316(f57(x90023,x90024,x90021),x90025),f316(f316(f23(f905(x90023,a895)),x90026),f316(f316(f298(x90023),x90022),f178(f905(x90023,a895)))))),f316(f316(f57(x90023,x90024,x90021),x90025),f316(f316(f298(x90023),x90022),x90026)))
% 163.96/163.66 [9299]~P107(f316(f316(f318(x92995),x92993),x92996))+P107(f316(f316(f224(f905(x92991,a895)),f316(x92992,x92993)),x92994))+~P107(f316(f316(f224(f905(x92991,a895)),f316(f316(f33(x92995,f905(x92991,a895)),x92996),x92992)),x92994))
% 163.96/163.66 [9935]~P5(x99351,x99355,x99354)+P107(f316(f316(f318(f904(x99351,x99351)),f316(f316(f241(x99351,x99351),x99352),x99353)),x99354))+~P107(f316(f316(f318(x99351),x99356),f316(f316(f91(f905(x99351,a895)),f316(f274(x99351,x99351,x99354),f316(f316(f298(x99351),x99352),f178(f905(x99351,a895))))),f316(f274(x99351,x99351,x99354),f316(f316(f298(x99351),x99353),f178(f905(x99351,a895)))))))
% 163.96/163.66 [8722]~P122(x87222)+~E(f316(f316(f74(x87222),f316(f316(f75(x87222),x87224),x87225)),x87221),f316(f316(f74(x87222),f316(f316(f75(x87222),x87223),x87225)),x87226))+E(x87221,f316(f316(f74(x87222),f316(f316(f75(x87222),f316(f316(f23(x87222),x87223),x87224)),x87225)),x87226))
% 163.96/163.66 [8723]~P122(x87231)+~E(f316(f316(f74(x87231),f316(f316(f75(x87231),x87232),x87234)),x87235),f316(f316(f74(x87231),f316(f316(f75(x87231),x87233),x87234)),x87236))+E(f316(f316(f74(x87231),f316(f316(f75(x87231),f316(f316(f23(x87231),x87232),x87233)),x87234)),x87235),x87236)
% 163.96/163.66 [8907]~P122(x89071)+E(f316(f316(f74(x89071),f316(f316(f75(x89071),x89072),x89073)),x89074),f316(f316(f74(x89071),f316(f316(f75(x89071),x89075),x89073)),x89076))+~E(x89076,f316(f316(f74(x89071),f316(f316(f75(x89071),f316(f316(f23(x89071),x89072),x89075)),x89073)),x89074))
% 163.96/163.66 [8908]~P122(x89081)+E(f316(f316(f74(x89081),f316(f316(f75(x89081),x89082),x89083)),x89084),f316(f316(f74(x89081),f316(f316(f75(x89081),x89085),x89083)),x89086))+~E(f316(f316(f74(x89081),f316(f316(f75(x89081),f316(f316(f23(x89081),x89082),x89085)),x89083)),x89084),x89086)
% 163.96/163.66 [9236]~P107(f316(f316(x92364,x92365),x92366))+~P107(f316(f316(x92363,x92365),x92366))+P107(f316(f316(f316(f316(f91(f905(x92361,f905(x92362,a895))),x92363),x92364),x92365),x92366))
% 163.96/163.66 [9498]P107(f316(f316(x94981,x94982),x94983))+P107(f316(f316(x94984,x94982),x94983))+~P107(f316(f316(f316(f316(f100(f905(x94985,f905(x94986,a895))),x94984),x94981),x94982),x94983))
% 163.96/163.66 [9797]~P129(x97971)+~P107(f316(f316(f224(x97971),f316(f316(f74(x97971),f316(f316(f75(x97971),x97974),x97975)),x97972)),f316(f316(f74(x97971),f316(f316(f75(x97971),x97973),x97975)),x97976)))+P107(f316(f316(f224(x97971),x97972),f316(f316(f74(x97971),f316(f316(f75(x97971),f316(f316(f23(x97971),x97973),x97974)),x97975)),x97976)))
% 163.96/163.66 [9798]~P129(x97981)+~P107(f316(f316(f225(x97981),f316(f316(f74(x97981),f316(f316(f75(x97981),x97984),x97985)),x97982)),f316(f316(f74(x97981),f316(f316(f75(x97981),x97983),x97985)),x97986)))+P107(f316(f316(f225(x97981),x97982),f316(f316(f74(x97981),f316(f316(f75(x97981),f316(f316(f23(x97981),x97983),x97984)),x97985)),x97986)))
% 163.96/163.66 [9821]~P129(x98211)+P107(f316(f316(f224(x98211),f316(f316(f74(x98211),f316(f316(f75(x98211),x98212),x98213)),x98214)),f316(f316(f74(x98211),f316(f316(f75(x98211),x98215),x98213)),x98216)))+~P107(f316(f316(f224(x98211),x98214),f316(f316(f74(x98211),f316(f316(f75(x98211),f316(f316(f23(x98211),x98215),x98212)),x98213)),x98216)))
% 163.96/163.66 [9822]~P129(x98221)+P107(f316(f316(f225(x98221),f316(f316(f74(x98221),f316(f316(f75(x98221),x98222),x98223)),x98224)),f316(f316(f74(x98221),f316(f316(f75(x98221),x98225),x98223)),x98226)))+~P107(f316(f316(f225(x98221),x98224),f316(f316(f74(x98221),f316(f316(f75(x98221),f316(f316(f23(x98221),x98225),x98222)),x98223)),x98226)))
% 163.96/163.66 [9927]~P129(x99271)+~P107(f316(f316(f224(x99271),f316(f316(f74(x99271),f316(f316(f75(x99271),x99272),x99274)),x99275)),f316(f316(f74(x99271),f316(f316(f75(x99271),x99273),x99274)),x99276)))+P107(f316(f316(f224(x99271),f316(f316(f74(x99271),f316(f316(f75(x99271),f316(f316(f23(x99271),x99272),x99273)),x99274)),x99275)),x99276))
% 163.96/163.66 [9928]~P129(x99281)+~P107(f316(f316(f225(x99281),f316(f316(f74(x99281),f316(f316(f75(x99281),x99282),x99284)),x99285)),f316(f316(f74(x99281),f316(f316(f75(x99281),x99283),x99284)),x99286)))+P107(f316(f316(f225(x99281),f316(f316(f74(x99281),f316(f316(f75(x99281),f316(f316(f23(x99281),x99282),x99283)),x99284)),x99285)),x99286))
% 163.96/163.66 [9975]~P129(x99751)+P107(f316(f316(f224(x99751),f316(f316(f74(x99751),f316(f316(f75(x99751),x99752),x99753)),x99754)),f316(f316(f74(x99751),f316(f316(f75(x99751),x99755),x99753)),x99756)))+~P107(f316(f316(f224(x99751),f316(f316(f74(x99751),f316(f316(f75(x99751),f316(f316(f23(x99751),x99752),x99755)),x99753)),x99754)),x99756))
% 163.96/163.66 [9976]~P129(x99761)+P107(f316(f316(f225(x99761),f316(f316(f74(x99761),f316(f316(f75(x99761),x99762),x99763)),x99764)),f316(f316(f74(x99761),f316(f316(f75(x99761),x99765),x99763)),x99766)))+~P107(f316(f316(f225(x99761),f316(f316(f74(x99761),f316(f316(f75(x99761),f316(f316(f23(x99761),x99762),x99765)),x99763)),x99764)),x99766))
% 163.96/163.66 [10150]~P76(x101502)+~P107(f316(f54(x101501),x101506))+E(f316(f316(f6(x101501,x101502),f316(f316(f18(x101501,x101502,x101502),f316(f316(f18(x101501,x101502,f905(x101502,x101502)),f316(f316(f8(a895,f905(x101502,f905(x101502,x101502)),x101501),f86(x101502)),x101503)),x101504)),x101505)),x101506),f316(f316(f74(x101502),f316(f316(f6(x101501,x101502),x101504),f316(f316(f91(f905(x101501,a895)),x101506),f316(f251(x101501),x101503)))),f316(f316(f6(x101501,x101502),x101505),f316(f316(f91(f905(x101501,a895)),x101506),f316(f73(f905(x101501,a895)),f316(f251(x101501),x101503))))))
% 163.96/163.66 [10211]P107(f316(f316(f318(x102112),x102114),x102116))+P107(f316(f316(f318(x102112),x102115),x102116))+E(f316(f300(x102111,x102112,f316(f316(f7(x102111,x102112,x102112),f316(f316(f7(x102111,x102112,f905(x102112,x102112)),f316(f316(f8(a895,f905(x102112,f905(x102112,x102112)),x102111),f86(x102112)),f316(f316(f7(x102111,f905(x102111,a895),a895),f318(x102111)),x102113))),x102114)),x102115)),x102116),f178(f905(x102111,a895)))
% 163.96/163.66 [10212]P107(f316(f316(f318(x102122),x102125),x102126))+~P107(f316(f316(f318(x102122),x102124),x102126))+E(f316(f300(x102121,x102122,f316(f316(f7(x102121,x102122,x102122),f316(f316(f7(x102121,x102122,f905(x102122,x102122)),f316(f316(f8(a895,f905(x102122,f905(x102122,x102122)),x102121),f86(x102122)),f316(f316(f7(x102121,f905(x102121,a895),a895),f318(x102121)),x102123))),x102124)),x102125)),x102126),x102123)
% 163.96/163.66 [10213]P107(f316(f316(f318(x102132),x102134),x102136))+~P107(f316(f316(f318(x102132),x102135),x102136))+E(f316(f300(x102131,x102132,f316(f316(f7(x102131,x102132,x102132),f316(f316(f7(x102131,x102132,f905(x102132,x102132)),f316(f316(f8(a895,f905(x102132,f905(x102132,x102132)),x102131),f86(x102132)),f316(f316(f7(x102131,f905(x102131,a895),a895),f318(x102131)),x102133))),x102134)),x102135)),x102136),f316(f73(f905(x102131,a895)),x102133))
% 163.96/163.66 [10214]~P107(f316(f316(f318(x102142),x102144),x102146))+~P107(f316(f316(f318(x102142),x102145),x102146))+E(f316(f300(x102141,x102142,f316(f316(f7(x102141,x102142,x102142),f316(f316(f7(x102141,x102142,f905(x102142,x102142)),f316(f316(f8(a895,f905(x102142,f905(x102142,x102142)),x102141),f86(x102142)),f316(f316(f7(x102141,f905(x102141,a895),a895),f318(x102141)),x102143))),x102144)),x102145)),x102146),f231(f905(x102141,a895)))
% 163.96/163.66 [8756]E(x87561,x87562)+~P55(x87564,x87565,x87563,x87566,x87567)+~E(f316(x87563,x87561),f316(x87563,x87562))
% 163.96/163.66 [8786]~P7(x87866,x87865,x87867,x87864,x87861)+E(f316(f316(x87861,x87862),x87863),x87864)+P107(f316(f54(x87865),x87863))
% 163.96/163.66 [9664]P41(x96641,x96642,x96643,x96644,x96645,f316(f316(x96643,x96646),x96647))+~E(f316(f316(x96643,x96646),x96647),x96644)+~E(x96645,f178(f905(x96641,a895)))
% 163.96/163.66 [9845]~P107(f316(x98456,x98453))+~P107(f316(f316(f318(f904(x98452,x98452)),f316(f316(f241(x98452,x98452),x98454),x98455)),f316(x98457,x98453)))+P107(f316(f316(f318(f904(f904(x98451,x98452),f904(x98451,x98452))),f316(f316(f241(f904(x98451,x98452),f904(x98451,x98452)),f316(f316(f241(x98451,x98452),x98453),x98454)),f316(f316(f241(x98451,x98452),x98453),x98455))),f269(x98451,x98452,x98456,x98457)))
% 163.96/163.66 [10276]~P41(x102762,x102767,x102763,x102766,x102761,f316(f316(x102763,x102765),x102764))+E(f316(f316(x102763,f564(x102764,x102765,x102761,x102766,x102763,x102767,x102762)),f577(x102764,x102765,x102761,x102766,x102763,x102767,x102762)),f316(f316(x102763,x102765),x102764))+E(x102761,f178(f905(x102762,a895)))
% 163.96/163.66 [10277]~P41(x102777,x102776,x102771,x102774,x102775,f316(f316(x102771,x102772),x102773))+E(f316(f316(x102771,f564(x102773,x102772,x102775,x102774,x102771,x102776,x102777)),f577(x102773,x102772,x102775,x102774,x102771,x102776,x102777)),f316(f316(x102771,x102772),x102773))+E(f316(f316(x102771,x102772),x102773),x102774)
% 163.96/163.66 [9333]~P33(x93331,x93332,x93333,x93335,x93337)+P33(x93331,x93332,x93333,f316(f316(f141(x93331),x93334),x93335),f316(f316(f141(x93332),x93336),x93337))+~P107(f316(f316(x93333,x93334),x93336))
% 163.96/163.66 [9350]P33(x93501,x93502,x93503,x93504,x93505)+~P33(x93501,x93502,x93503,f316(f316(f124(x93501),x93506),x93504),f316(f316(f124(x93502),x93507),x93505))+~E(f316(f179(f899(x93501)),x93506),f316(f179(f899(x93502)),x93507))
% 163.96/163.66 [9351]P33(x93511,x93512,x93513,x93514,x93515)+~P33(x93511,x93512,x93513,f316(f316(f124(x93511),x93514),x93516),f316(f316(f124(x93512),x93515),x93517))+~E(f316(f179(f899(x93511)),x93514),f316(f179(f899(x93512)),x93515))
% 163.96/163.66 [9563]~P33(x95631,x95632,x95633,x95635,x95637)+~P33(x95631,x95632,x95633,x95634,x95636)+P33(x95631,x95632,x95633,f316(f316(f124(x95631),x95634),x95635),f316(f316(f124(x95632),x95636),x95637))
% 163.96/163.66 [9920]~P107(f316(f59(x99201,x99204,x99205,x99206,x99203),x99207))+P107(f316(f59(x99201,x99204,x99205,x99206,f316(f316(f298(x99201),x99202),x99203)),f316(f316(x99205,x99202),x99207)))+P107(f316(f316(f318(x99201),x99202),x99203))
% 163.96/163.66 [10309]~P41(x103092,x103097,x103096,x103095,x103091,f316(f316(x103096,x103094),x103093))+E(x103091,f178(f905(x103092,a895)))+P107(f316(f316(f318(x103092),f564(x103093,x103094,x103091,x103095,x103096,x103097,x103092)),x103091))
% 163.96/163.66 [10310]~P41(x103105,x103107,x103101,x103104,x103106,f316(f316(x103101,x103102),x103103))+E(f316(f316(x103101,x103102),x103103),x103104)+P107(f316(f316(f318(x103105),f564(x103103,x103102,x103106,x103104,x103101,x103107,x103105)),x103106))
% 163.96/163.66 [10397]E(f316(f316(f241(x103971,x103972),x103973),x103974),f316(f316(f241(x103971,x103972),x103975),x103976))+P107(f316(f316(f318(f904(f904(x103971,x103972),f904(x103971,x103972))),f316(f316(f241(f904(x103971,x103972),f904(x103971,x103972)),f316(f316(f241(x103971,x103972),f835(x103977,x103974,x103973,x103976,x103975,x103972,x103971)),f836(x103977,x103974,x103973,x103976,x103975,x103972,x103971))),f316(f316(f241(x103971,x103972),x103973),x103974))),f296(f904(x103971,x103972),x103977)))+~P107(f316(f316(f318(f904(f904(x103971,x103972),f904(x103971,x103972))),f316(f316(f241(f904(x103971,x103972),f904(x103971,x103972)),f316(f316(f241(x103971,x103972),x103975),x103976)),f316(f316(f241(x103971,x103972),x103973),x103974))),f296(f904(x103971,x103972),x103977)))
% 163.96/163.66 [9027]~P18(x90274,x90275,x90276,x90277,x90271)+~P107(f316(f54(x90275),x90273))+E(f316(f316(x90271,x90272),x90273),f316(f316(f316(f58(x90274,x90275,x90276),x90272),x90277),x90273))
% 163.96/163.66 [9028]~P7(x90284,x90285,x90286,x90287,x90281)+~P107(f316(f54(x90285),x90283))+E(f316(f316(x90281,x90282),x90283),f316(f316(f316(f58(x90284,x90285,x90286),x90282),x90287),x90283))
% 163.96/163.66 [9816]~P20(x98163,x98164,x98165,x98167,x98166,x98161)+~P107(f316(f54(x98164),x98162))+E(f316(x98161,x98162),f316(f316(f316(f58(x98163,x98164,x98165),x98166),x98167),x98162))
% 163.96/163.66 [9970]P41(x99701,x99702,x99703,x99704,x99705,f316(f316(x99703,x99706),x99707))+~P41(x99701,x99702,x99703,x99704,f316(f316(f23(f905(x99701,a895)),x99705),f316(f316(f298(x99701),x99706),f178(f905(x99701,a895)))),x99707)+~P107(f316(f316(f318(x99701),x99706),x99705))
% 163.96/163.66 [10333]P107(f316(f316(x103337,f782(x103334,x103335,x103331,x103336,x103333,x103332,x103337)),f783(x103334,x103335,x103331,x103336,x103333,x103332,x103337)))+~P107(f316(f316(x103337,f316(f245(x103332,x103333),x103336)),f316(f240(x103332,x103333),x103336)))+P107(f316(x103331,f316(f316(f246(x103332,x103333,x103334),x103335),x103336)))
% 163.96/163.66 [10343]~P41(x103432,x103433,x103434,x103435,x103431,f316(f316(x103434,x103437),x103436))+P41(x103432,x103433,x103434,x103435,f316(f316(f23(f905(x103432,a895)),x103431),f316(f316(f298(x103432),f564(x103436,x103437,x103431,x103435,x103434,x103433,x103432)),f178(f905(x103432,a895)))),f577(x103436,x103437,x103431,x103435,x103434,x103433,x103432))+E(x103431,f178(f905(x103432,a895)))
% 163.96/163.66 [10344]~P41(x103445,x103446,x103441,x103444,x103447,f316(f316(x103441,x103442),x103443))+P41(x103445,x103446,x103441,x103444,f316(f316(f23(f905(x103445,a895)),x103447),f316(f316(f298(x103445),f564(x103443,x103442,x103447,x103444,x103441,x103446,x103445)),f178(f905(x103445,a895)))),f577(x103443,x103442,x103447,x103444,x103441,x103446,x103445))+E(f316(f316(x103441,x103442),x103443),x103444)
% 163.96/163.66 [10364]~P107(f316(x103641,f316(f316(x103645,f783(x103644,x103645,x103641,x103646,x103643,x103642,x103647)),f782(x103644,x103645,x103641,x103646,x103643,x103642,x103647))))+~P107(f316(f316(x103647,f316(f245(x103642,x103643),x103646)),f316(f240(x103642,x103643),x103646)))+P107(f316(x103641,f316(f316(f246(x103642,x103643,x103644),x103645),x103646)))
% 163.96/163.66 [9649]P107(f316(f316(f224(f905(f904(x96491,x96492),a895)),f316(f316(f278(x96491,x96493,x96492),x96494),x96495)),f316(f316(f278(x96491,x96493,x96492),x96496),x96497)))+~P107(f316(f316(f224(f905(f904(x96493,x96492),a895)),x96495),x96497))+~P107(f316(f316(f224(f905(f904(x96491,x96493),a895)),x96494),x96496))
% 163.96/163.66 [10391]E(f316(f316(f241(x103911,x103912),x103913),x103914),f316(f316(f241(x103911,x103912),x103915),x103916))+~P107(f316(f316(f318(f904(f904(x103911,x103912),f904(x103911,x103912))),f316(f316(f241(f904(x103911,x103912),f904(x103911,x103912)),f316(f316(f241(x103911,x103912),x103913),x103914)),f316(f316(f241(x103911,x103912),x103915),x103916))),f296(f904(x103911,x103912),x103917)))+P107(f316(f316(f318(f904(f904(x103911,x103912),f904(x103911,x103912))),f316(f316(f241(f904(x103911,x103912),f904(x103911,x103912)),f316(f316(f241(x103911,x103912),x103913),x103914)),f316(f316(f241(x103911,x103912),f835(x103917,x103916,x103915,x103914,x103913,x103912,x103911)),f836(x103917,x103916,x103915,x103914,x103913,x103912,x103911)))),x103917))
% 163.96/163.66 [9981]~P107(f316(f316(f318(x99811),x99816),x99815))+P107(f316(f59(x99811,x99812,x99813,x99814,x99815),f316(f316(x99813,x99816),x99817)))+~P107(f316(f59(x99811,x99812,x99813,x99814,f316(f316(f23(f905(x99811,a895)),x99815),f316(f316(f298(x99811),x99816),f178(f905(x99811,a895))))),x99817))
% 163.96/163.66 [10404]~P147(x104041)+~P22(f904(x104042,x104043),x104041,f316(f246(x104042,x104043,x104041),f316(f316(f7(x104042,f905(x104043,x104041),f905(x104043,x104041)),f316(f316(f8(f905(x104041,x104041),f905(f905(x104043,x104041),f905(x104043,x104041)),x104042),f8(x104041,x104041,x104043)),f316(f316(f8(x104041,f905(x104041,x104041),x104042),f75(x104041)),x104044))),x104045)),f316(f316(f243(x104042,x104043),x104046),f316(f16(f905(x104043,a895),x104042),x104047)))+E(f316(f316(f6(x104041,x104041),f25(x104041)),f316(f251(x104041),f316(f316(f8(f905(x104042,a895),a895,x104041),f81(x104042)),f316(f316(f8(f905(x104042,f905(x104043,a895)),f905(x104042,a895),x104041),f316(f8(f905(x104043,a895),a895,x104042),f81(x104043))),f316(f316(f7(x104041,f905(x104042,f905(x104043,a895)),f905(x104042,f905(x104043,a895))),f316(f316(f8(f905(x104042,f905(f905(x104043,a895),f905(x104043,a895))),f905(f905(x104042,f905(x104043,a895)),f905(x104042,f905(x104043,a895))),x104041),f18(x104042,f905(x104043,a895),f905(x104043,a895))),f316(f316(f8(f905(x104042,f905(x104043,f905(a895,a895))),f905(x104042,f905(f905(x104043,a895),f905(x104043,a895))),x104041),f316(f8(f905(x104043,f905(a895,a895)),f905(f905(x104043,a895),f905(x104043,a895)),x104042),f18(x104043,a895,a895))),f316(f316(f8(f905(x104042,f905(x104043,a895)),f905(x104042,f905(x104043,f905(a895,a895))),x104041),f316(f8(f905(x104043,a895),f905(x104043,f905(a895,a895)),x104042),f316(f8(a895,f905(a895,a895),x104043),a314))),f316(f316(f7(x104041,f905(x104042,f905(x104043,x104041)),f905(x104042,f905(x104043,a895))),f316(f316(f8(f905(f905(x104043,x104041),f905(x104043,a895)),f905(f905(x104042,f905(x104043,x104041)),f905(x104042,f905(x104043,a895))),x104041),f8(f905(x104043,x104041),f905(x104043,a895),x104042)),f316(f316(f8(f905(x104041,a895),f905(f905(x104043,x104041),f905(x104043,a895)),x104041),f8(x104041,a895,x104043)),a313))),f316(f316(f7(x104042,f905(x104043,x104041),f905(x104043,x104041)),f316(f316(f8(f905(x104041,x104041),f905(f905(x104043,x104041),f905(x104043,x104041)),x104042),f8(x104041,x104041,x104043)),f316(f316(f8(x104041,f905(x104041,x104041),x104042),f75(x104041)),x104044))),x104045)))))),f316(f316(f7(x104042,f905(x104043,a895),f905(x104043,a895)),f316(f316(f8(f905(a895,a895),f905(f905(x104043,a895),f905(x104043,a895)),x104042),f8(a895,a895,x104043)),f316(f316(f8(a895,f905(a895,a895),x104042),a314),f316(f316(f7(x104042,f905(x104042,a895),a895),f318(x104042)),x104046)))),f316(f316(f7(x104043,f905(x104043,a895),a895),f318(x104043)),x104047))))))),f316(f316(f75(x104041),f316(f316(f6(x104042,x104041),x104044),x104046)),f316(f316(f6(x104043,x104041),x104045),x104047)))
% 163.96/163.66 [9653]~P23(x96531,x96533,x96535,x96536,x96538)+~P23(x96533,x96532,x96534,x96538,x96537)+P23(x96531,x96532,f316(f66(x96533,x96532,x96531,x96534),x96535),x96536,x96537)
% 163.96/163.66 [9682]P23(x96821,x96822,x96823,x96824,x96825)+~P23(x96826,x96821,x96827,x96828,x96824)+~P23(x96826,x96822,f316(f66(x96821,x96822,x96826,x96823),x96827),x96828,x96825)
% 163.96/163.66 [9814]~P107(f316(f316(x98144,x98146),x98148))+~P107(f316(f316(x98145,x98148),x98147))+P107(f316(f316(f242(x98141,x98142,x98143,x98144,x98145),x98146),x98147))
% 163.96/163.66 [9405]~P16(x94058,x94051,x94053,x94055)+~P107(f316(f54(x94058),x94056))+E(f316(f66(x94051,x94051,x94052,f316(x94053,x94054)),f316(f66(x94051,x94051,x94052,f316(x94055,x94056)),x94057)),f316(f66(x94051,x94051,x94052,f316(x94055,x94056)),f316(f66(x94051,x94051,x94052,f316(x94053,x94054)),x94057)))
% 163.96/163.66 [9804]~P19(x98047,x98042,x98045,x98048,x98046,x98041)+~P107(f316(f54(x98042),x98044))+E(f316(x98041,f316(f316(f298(x98042),x98043),x98044)),f316(f316(x98045,f316(x98046,x98043)),f316(x98041,x98044)))
% 163.96/163.66 [9925]~P22(x99252,x99254,x99256,x99258)+~P22(x99251,x99253,x99255,x99257)+P22(f904(x99251,x99252),f904(x99253,x99254),f247(x99251,x99253,x99252,x99254,x99255,x99256),f316(f316(f243(x99251,x99252),x99257),f316(f16(f905(x99252,a895),x99251),x99258)))
% 163.96/163.66 [9589]P107(f316(f316(f318(f904(x95891,x95892)),f316(f316(f241(x95891,x95892),x95893),x95894)),f316(f316(f278(x95891,x95895,x95892),x95896),x95897)))+~P107(f316(f316(f318(f904(x95891,x95895)),f316(f316(f241(x95891,x95895),x95893),x95898)),x95896))+~P107(f316(f316(f318(f904(x95895,x95892)),f316(f316(f241(x95895,x95892),x95898),x95894)),x95897))
% 163.96/163.66 [9785]~P107(f316(f316(f224(f905(f904(x97853,x97852),a895)),x97855),f316(f316(f243(x97853,x97852),x97858),f316(f16(f905(x97852,a895),x97853),x97857))))+~P107(f316(f316(f224(f905(f904(x97851,x97853),a895)),x97854),f316(f316(f243(x97851,x97853),x97856),f316(f16(f905(x97853,a895),x97851),x97858))))+P107(f316(f316(f224(f905(f904(x97851,x97852),a895)),f316(f316(f278(x97851,x97853,x97852),x97854),x97855)),f316(f316(f243(x97851,x97852),x97856),f316(f16(f905(x97852,a895),x97851),x97857))))
% 163.96/163.66 [9839]~E(x98393,x98395)+P107(f316(f316(f318(f904(f904(x98391,x98392),f904(x98391,x98392))),f316(f316(f241(f904(x98391,x98392),f904(x98391,x98392)),f316(f316(f241(x98391,x98392),x98393),x98394)),f316(f316(f241(x98391,x98392),x98395),x98396))),f308(x98391,x98392,x98397,x98398)))+~P107(f316(f316(f318(f904(x98392,x98392)),f316(f316(f241(x98392,x98392),x98394),x98396)),x98398))
% 163.96/163.66 [9944]E(x99441,x99442)+~P107(f316(f316(f318(f904(f904(x99443,x99445),f904(x99443,x99445))),f316(f316(f241(f904(x99443,x99445),f904(x99443,x99445)),f316(f316(f241(x99443,x99445),x99441),x99446)),f316(f316(f241(x99443,x99445),x99442),x99447))),f308(x99443,x99445,x99444,x99448)))+P107(f316(f316(f318(f904(x99443,x99443)),f316(f316(f241(x99443,x99443),x99441),x99442)),x99444))
% 163.96/163.66 [9960]~P107(f316(f316(f318(f904(f904(x99601,x99605),f904(x99601,x99605))),f316(f316(f241(f904(x99601,x99605),f904(x99601,x99605)),f316(f316(f241(x99601,x99605),x99602),x99606)),f316(f316(f241(x99601,x99605),x99603),x99607))),f308(x99601,x99605,x99604,x99608)))+P107(f316(f316(f318(f904(x99601,x99601)),f316(f316(f241(x99601,x99601),x99602),x99603)),x99604))+P107(f316(f316(f318(f904(x99605,x99605)),f316(f316(f241(x99605,x99605),x99606),x99607)),x99608))
% 163.96/163.66 [9875]~P20(x98757,x98755,x98751,x98758,x98752,x98754)+~P107(f316(f54(x98755),x98756))+E(f316(f316(x98751,f316(x98752,x98753)),f316(x98754,f316(f316(f23(f905(x98755,a895)),x98756),f316(f316(f298(x98755),x98753),f178(f905(x98755,a895)))))),f316(x98754,f316(f316(f298(x98755),x98753),x98756)))
% 163.96/163.66 [9357]~P107(f316(f316(f316(x93575,x93578),x93576),x93577))+~P107(f316(f316(f318(x93571),x93578),x93574))+P107(f316(f316(f316(f316(f33(x93571,f905(x93572,f905(x93573,a895))),x93574),x93575),x93576),x93577))
% 163.96/163.66 [9574]P107(f316(f316(f316(x95741,x95742),x95743),x95744))+~P107(f316(f316(f318(x95745),x95742),x95746))+~P107(f316(f316(f316(f316(f32(x95745,f905(x95747,f905(x95748,a895))),x95746),x95741),x95743),x95744))
% 163.96/163.66 [9778]~P18(x97783,x97782,x97784,x97788,x97781)+~P107(f316(f54(x97782),x97787))+E(f316(f316(x97781,f316(f316(f18(x97782,x97783,x97783),f316(f316(f8(x97783,f905(x97783,x97783),x97782),x97784),x97785)),x97786)),x97787),f316(f316(x97784,f316(f316(x97781,x97785),x97787)),f316(f316(x97781,x97786),x97787)))
% 163.96/163.66 [10046]~E(f316(f299(x100462,x100464,x100466),x100468),x1004610)+~E(f316(f299(x100461,x100463,x100465),x100467),x100469)+E(f316(f299(f904(x100461,x100462),f904(x100463,x100464),f247(x100461,x100463,x100462,x100464,x100465,x100466)),f316(f316(f243(x100461,x100462),x100467),f316(f16(f905(x100462,a895),x100461),x100468))),f316(f316(f243(x100463,x100464),x100469),f316(f16(f905(x100464,a895),x100463),x1004610)))
% 163.96/163.66 [4959]~P47(x49591,x49592)+~P48(x49591,x49592)+~P49(x49591,x49592)+P4(x49591,x49592)
% 163.96/163.66 [4915]~P108(x49152)+~P10(x49152,x49151)+P10(x49152,f104(x49152,x49151))+E(x49151,f103(x49152))
% 163.96/163.66 [4916]~P108(x49162)+~P10(x49162,x49161)+P10(x49162,f700(x49161,x49162))+E(x49161,f103(x49162))
% 163.96/163.66 [5163]~P2(x51632)+E(f10(x51632,x51631),f31(x51632,x51631))+E(x51631,f178(f905(x51632,a895)))+~P107(f316(f54(x51632),x51631))
% 163.96/163.66 [5164]~P2(x51642)+E(f13(x51642,x51641),f30(x51642,x51641))+E(x51641,f178(f905(x51642,a895)))+~P107(f316(f54(x51642),x51641))
% 163.96/163.66 [5321]~P108(x53212)+~P10(x53212,x53211)+E(x53211,f103(x53212))+E(f316(f316(f141(x53212),f719(x53211,x53212)),f700(x53211,x53212)),x53211)
% 163.96/163.66 [6143]~P84(x61432)+E(x61431,f178(f905(x61432,a895)))+P107(f316(f316(f224(x61432),f10(x61432,x61431)),f13(x61432,x61431)))+~P107(f316(f54(x61432),x61431))
% 163.96/163.66 [6154]~P39(x61542)+~P39(x61541)+E(x61541,x61542)+~E(f316(f299(a1,a898,a94),x61541),f316(f299(a1,a898,a94),x61542))
% 163.96/163.66 [9215]~P123(x92151)+~P107(f316(f316(f318(x92151),x92152),f99(x92151)))+P107(f316(f316(f225(x92151),f316(f316(f74(x92151),f316(f316(f74(x92151),f72(x92151)),x92152)),x92152)),f2(x92151)))+~P107(f316(f316(f225(x92151),x92152),f2(x92151)))
% 163.96/163.66 [9458]~P123(x94581)+~P107(f316(f316(f318(x94581),x94582),f99(x94581)))+~P107(f316(f316(f225(x94581),f316(f316(f74(x94581),f316(f316(f74(x94581),f72(x94581)),x94582)),x94582)),f2(x94581)))+P107(f316(f316(f225(x94581),x94582),f2(x94581)))
% 163.96/163.66 [4974]~P116(x49742)+~P147(x49742)+E(x49741,f2(a898))+E(f316(f316(f233(x49742),f2(x49742)),x49741),f2(x49742))
% 163.96/163.66 [4977]~P116(x49771)+~P147(x49771)+~E(x49772,f2(a898))+E(f316(f316(f233(x49771),f2(x49771)),x49772),f72(x49771))
% 163.96/163.66 [5149]~P140(x51492)+E(x51491,f72(x51492))+E(x51491,f316(f73(x51492),f72(x51492)))+~E(f316(f316(f75(x51492),x51491),x51491),f72(x51492))
% 163.96/163.66 [5397]~P92(x53972)+E(x53971,f2(x53972))+E(f76(x53972,x53971),f316(f73(x53972),f72(x53972)))+P107(f316(f316(f225(x53972),f2(x53972)),x53971))
% 163.96/163.66 [5640]~P92(x56402)+E(f76(x56402,x56401),f72(x56402))+E(x56401,f2(x56402))+~P107(f316(f316(f225(x56402),f2(x56402)),x56401))
% 163.96/163.66 [5649]E(x56491,x56492)+~E(f316(f93(a898),x56491),f316(f93(a898),x56492))+P107(f316(a183,f316(f93(a1),x56492)))+P107(f316(a183,f316(f93(a1),x56491)))
% 163.96/163.66 [5700]~P96(x57001)+~E(x57002,f2(x57001))+E(f316(f316(f74(x57001),x57002),x57002),f2(x57001))+~P107(f316(f316(f318(x57001),x57002),f99(x57001)))
% 163.96/163.66 [5739]E(x57391,f2(a1))+~E(f316(f316(f29(a1),x57392),x57391),f2(a1))+P107(f316(f316(f225(a1),x57391),x57392))+P107(f316(f316(f225(a1),x57392),x57391))
% 163.96/163.66 [5769]E(x57691,f2(a1))+~E(f316(f316(f29(a1),x57692),x57691),f2(a1))+P107(f316(f316(f224(a1),x57692),f2(a1)))+P107(f316(f316(f225(a1),x57692),x57691))
% 163.96/163.66 [5803]E(x58031,f2(a1))+~E(f316(f316(f29(a1),x58032),x58031),f2(a1))+P107(f316(f316(f224(a1),f2(a1)),x58032))+P107(f316(f316(f225(a1),x58031),x58032))
% 163.96/163.66 [5838]~P96(x58382)+E(x58381,f2(x58382))+~E(f316(f316(f74(x58382),x58381),x58381),f2(x58382))+~P107(f316(f316(f318(x58382),x58381),f99(x58382)))
% 163.96/163.66 [5910]E(f316(f93(a898),x59101),f316(f93(a898),x59102))+~E(f316(f93(a1),x59102),f2(a1))+P107(f316(a183,f316(f93(a1),x59102)))+~P107(f316(a183,f316(f93(a1),x59101)))
% 163.96/163.66 [5939]~E(f316(f93(a898),x59392),f316(f93(a898),x59391))+E(f316(f93(a1),x59391),f2(a1))+P107(f316(a183,f316(f93(a1),x59391)))+~P107(f316(a183,f316(f93(a1),x59392)))
% 163.96/163.66 [5949]~P108(x59492)+E(x59491,f178(f905(x59492,a895)))+~P107(f316(f54(x59492),x59491))+P107(f316(f316(f318(x59492),f14(x59492,x59491)),x59491))
% 163.96/163.66 [5950]~P108(x59502)+E(x59501,f178(f905(x59502,a895)))+~P107(f316(f54(x59502),x59501))+P107(f316(f316(f318(x59502),f15(x59502,x59501)),x59501))
% 163.96/163.66 [6120]~P123(x61201)+~P98(x61201)+P107(f316(f316(f224(x61201),f2(x61201)),f316(f93(x61201),x61202)))+~P107(f316(f316(f224(a1),a77),x61202))
% 163.96/163.66 [6121]~P123(x61211)+~P98(x61211)+P107(f316(f316(f225(x61211),f2(x61211)),f316(f93(x61211),x61212)))+~P107(f316(f316(f225(a1),a77),x61212))
% 163.96/163.66 [6142]~P123(x61421)+~P98(x61421)+E(f316(f69(x61421),f316(f93(x61421),x61422)),f316(f93(x61421),x61422))+P107(f316(f316(f225(x61421),f316(f93(x61421),x61422)),f2(x61421)))
% 163.96/163.66 [6178]E(x61781,x61782)+~E(f316(a94,x61781),f316(a94,x61782))+~P107(f316(f316(f224(a1),f2(a1)),x61782))+~P107(f316(f316(f224(a1),f2(a1)),x61781))
% 163.96/163.66 [6378]~P98(x63782)+~P123(x63782)+~P107(f316(f316(f224(x63782),f2(x63782)),f316(f93(x63782),x63781)))+P107(f316(f316(f224(a1),a77),x63781))
% 163.96/163.66 [6379]~P98(x63792)+~P123(x63792)+~P107(f316(f316(f225(x63792),f2(x63792)),f316(f93(x63792),x63791)))+P107(f316(f316(f225(a1),a77),x63791))
% 163.96/163.66 [6384]~P123(x63841)+~P98(x63841)+P107(f316(f316(f224(x63841),f316(f93(x63841),x63842)),f2(x63841)))+~P107(f316(f316(f224(a1),x63842),a77))
% 163.96/163.66 [6385]~P123(x63851)+~P98(x63851)+P107(f316(f316(f225(x63851),f316(f93(x63851),x63852)),f2(x63851)))+~P107(f316(f316(f225(a1),x63852),a77))
% 163.96/163.66 [6709]~P98(x67092)+~P123(x67092)+~P107(f316(f316(f224(x67092),f316(f93(x67092),x67091)),f2(x67092)))+P107(f316(f316(f224(a1),x67091),a77))
% 163.96/163.66 [6710]~P98(x67102)+~P123(x67102)+~P107(f316(f316(f225(x67102),f316(f93(x67102),x67101)),f2(x67102)))+P107(f316(f316(f225(a1),x67101),a77))
% 163.96/163.66 [6803]~P123(x68031)+~P98(x68031)+E(f316(f69(x68031),f316(f93(x68031),x68032)),f316(f73(x68031),f316(f93(x68031),x68032)))+~P107(f316(f316(f225(x68031),f316(f93(x68031),x68032)),f2(x68031)))
% 163.96/163.66 [6822]E(f316(f93(a898),x68221),f316(f93(a898),x68222))+~E(f316(f93(a1),x68222),f2(a1))+~P107(f316(f316(f224(a1),f316(f93(a1),x68221)),f2(a1)))+~P107(f316(a183,f316(f93(a1),x68221)))
% 163.96/163.66 [7708]~P108(x77082)+E(x77081,f178(f905(x77082,a895)))+~P107(f316(f54(x77082),x77081))+P107(f316(f316(f224(x77082),f11(x77082,f222(x77082),x77081)),f12(x77082,f223(x77082),x77081)))
% 163.96/163.66 [8029]~P39(x80292)+~P3(x80291)+P107(f316(f316(f318(a1),x80291),x80292))+~P107(f316(f316(f318(a898),f316(a94,x80291)),f316(f299(a1,a898,a94),x80292)))
% 163.96/163.66 [5945]~P141(x59452)+E(x59451,f2(a1))+E(f316(f73(x59452),f316(f92(x59452),f316(f73(a1),x59451))),f316(f92(x59452),x59451))+~P107(f316(f316(f225(a1),x59451),f2(a1)))
% 163.96/163.66 [6022]~P96(x60221)+~P98(x60221)+~P26(x60221,f316(f93(x60221),x60222))+P26(x60221,f316(f93(x60221),f316(f316(f74(a1),x60222),x60222)))
% 163.96/163.66 [6367]~P78(x63672)+E(x63671,f178(f905(x63672,a895)))+E(f15(x63672,f316(f299(x63672,x63672,f73(x63672)),x63671)),f316(f73(x63672),f14(x63672,x63671)))+~P107(f316(f54(x63672),x63671))
% 163.96/163.66 [6368]~P78(x63682)+E(x63681,f178(f905(x63682,a895)))+E(f14(x63682,f316(f299(x63682,x63682,f73(x63682)),x63681)),f316(f73(x63682),f15(x63682,x63681)))+~P107(f316(f54(x63682),x63681))
% 163.96/163.66 [6401]~P96(x64011)+~P98(x64011)+P26(x64011,f316(f93(x64011),x64012))+~P26(x64011,f316(f93(x64011),f316(f316(f74(a1),x64012),x64012)))
% 163.96/163.66 [6495]E(x64951,f2(a1))+E(f316(a44,f43(f316(f73(a1),x64951),f316(f73(a1),x64952))),f39(x64951,x64952))+P107(f316(f316(f224(a1),f2(a1)),x64952))+~P107(f316(f316(f224(a1),f2(a1)),x64951))
% 163.96/163.66 [8814]~P39(x88142)+~P39(x88141)+P107(f316(f316(f225(f905(a898,a895)),f316(f299(a1,a898,a94),x88141)),f316(f299(a1,a898,a94),x88142)))+~P107(f316(f316(f225(f905(a1,a895)),x88141),x88142))
% 163.96/163.66 [9047]~E(f723(x90472,x90471),f724(x90472,x90471))+~P107(f316(f127(x90471),f722(x90472,x90471)))+~P107(f316(f127(f899(x90471)),x90472))+P107(f316(f127(x90471),f316(f132(f899(x90471),f899(x90471),f124(x90471),f103(x90471)),x90472)))
% 163.96/163.66 [9135]~P39(x91352)+~P39(x91351)+~P107(f316(f316(f224(f905(a898,a895)),f316(f299(a1,a898,a94),x91351)),f316(f299(a1,a898,a94),x91352)))+P107(f316(f316(f224(f905(a1,a895)),x91351),x91352))
% 163.96/163.66 [9136]~P39(x91362)+~P39(x91361)+~P107(f316(f316(f225(f905(a898,a895)),f316(f299(a1,a898,a94),x91361)),f316(f299(a1,a898,a94),x91362)))+P107(f316(f316(f225(f905(a1,a895)),x91361),x91362))
% 163.96/163.66 [9142]~E(f723(x91422,x91421),f724(x91422,x91421))+~P107(f316(f127(f899(x91421)),x91422))+P107(f316(f127(x91421),f316(f132(f899(x91421),f899(x91421),f124(x91421),f103(x91421)),x91422)))+P107(f316(f316(f318(f899(x91421)),f722(x91422,x91421)),f316(f162(f899(x91421)),x91422)))
% 163.96/163.66 [9183]~P107(f316(f127(x91831),f722(x91832,x91831)))+~P107(f316(f127(f899(x91831)),x91832))+P107(f316(f127(x91831),f316(f132(f899(x91831),f899(x91831),f124(x91831),f103(x91831)),x91832)))+P107(f316(f316(f318(f899(x91831)),f724(x91832,x91831)),f316(f162(f899(x91831)),x91832)))
% 163.96/163.66 [9184]~P107(f316(f127(x91841),f722(x91842,x91841)))+~P107(f316(f127(f899(x91841)),x91842))+P107(f316(f127(x91841),f316(f132(f899(x91841),f899(x91841),f124(x91841),f103(x91841)),x91842)))+P107(f316(f316(f318(f899(x91841)),f723(x91842,x91841)),f316(f162(f899(x91841)),x91842)))
% 163.96/163.66 [9261]~P107(f316(f127(f899(x92611)),x92612))+P107(f316(f127(x92611),f316(f132(f899(x92611),f899(x92611),f124(x92611),f103(x92611)),x92612)))+P107(f316(f316(f318(f899(x92611)),f724(x92612,x92611)),f316(f162(f899(x92611)),x92612)))+P107(f316(f316(f318(f899(x92611)),f722(x92612,x92611)),f316(f162(f899(x92611)),x92612)))
% 163.96/163.66 [9262]~P107(f316(f127(f899(x92621)),x92622))+P107(f316(f127(x92621),f316(f132(f899(x92621),f899(x92621),f124(x92621),f103(x92621)),x92622)))+P107(f316(f316(f318(f899(x92621)),f723(x92622,x92621)),f316(f162(f899(x92621)),x92622)))+P107(f316(f316(f318(f899(x92621)),f722(x92622,x92621)),f316(f162(f899(x92621)),x92622)))
% 163.96/163.66 [9276]~E(f316(f316(f91(f905(x92761,a895)),f316(f162(x92761),f724(x92762,x92761))),f316(f162(x92761),f723(x92762,x92761))),f178(f905(x92761,a895)))+~P107(f316(f127(x92761),f722(x92762,x92761)))+~P107(f316(f127(f899(x92761)),x92762))+P107(f316(f127(x92761),f316(f132(f899(x92761),f899(x92761),f124(x92761),f103(x92761)),x92762)))
% 163.96/163.66 [9337]~E(f316(f316(f91(f905(x93371,a895)),f316(f162(x93371),f724(x93372,x93371))),f316(f162(x93371),f723(x93372,x93371))),f178(f905(x93371,a895)))+~P107(f316(f127(f899(x93371)),x93372))+P107(f316(f127(x93371),f316(f132(f899(x93371),f899(x93371),f124(x93371),f103(x93371)),x93372)))+P107(f316(f316(f318(f899(x93371)),f722(x93372,x93371)),f316(f162(f899(x93371)),x93372)))
% 163.96/163.66 [9622]E(x96221,f2(a1))+E(x96222,f2(a1))+E(f316(f316(f80(a1,f904(a1,a1)),f316(f316(a207,x96222),x96221)),f316(f316(f18(a1,a1,f904(a1,a1)),f316(f316(f8(a1,f905(a1,f904(a1,a1)),a1),f241(a1,a1)),f316(f29(a1),x96222))),f316(f29(a1),x96221))),f205(x96222,x96221))+P107(f316(f316(f225(a1),x96221),f2(a1)))
% 163.96/163.66 [8355]~P98(x83552)+~P123(x83552)+~P107(f316(f316(f224(x83552),f316(f93(x83552),x83551)),f72(x83552)))+P107(f316(f316(f224(a1),x83551),f316(f316(f23(a1),f316(f316(f74(a1),a77),a77)),a87)))
% 163.96/163.66 [8356]~P98(x83562)+~P123(x83562)+~P107(f316(f316(f225(x83562),f316(f93(x83562),x83561)),f72(x83562)))+P107(f316(f316(f225(a1),x83561),f316(f316(f23(a1),f316(f316(f74(a1),a77),a77)),a87)))
% 163.96/163.66 [8626]~P123(x86261)+~P98(x86261)+P107(f316(f316(f224(x86261),f316(f93(x86261),x86262)),f72(x86261)))+~P107(f316(f316(f224(a1),x86262),f316(f316(f23(a1),f316(f316(f74(a1),a77),a77)),a87)))
% 163.96/163.66 [8627]~P123(x86271)+~P98(x86271)+P107(f316(f316(f225(x86271),f316(f93(x86271),x86272)),f72(x86271)))+~P107(f316(f316(f225(a1),x86272),f316(f316(f23(a1),f316(f316(f74(a1),a77),a77)),a87)))
% 163.96/163.66 [8842]~P98(x88422)+~P123(x88422)+~P107(f316(f316(f224(x88422),f72(x88422)),f316(f93(x88422),x88421)))+P107(f316(f316(f224(a1),f316(f316(f23(a1),f316(f316(f74(a1),a77),a77)),a87)),x88421))
% 163.96/163.66 [8843]~P98(x88432)+~P123(x88432)+~P107(f316(f316(f225(x88432),f72(x88432)),f316(f93(x88432),x88431)))+P107(f316(f316(f225(a1),f316(f316(f23(a1),f316(f316(f74(a1),a77),a77)),a87)),x88431))
% 163.96/163.66 [9221]~P123(x92211)+~P98(x92211)+P107(f316(f316(f224(x92211),f72(x92211)),f316(f93(x92211),x92212)))+~P107(f316(f316(f224(a1),f316(f316(f23(a1),f316(f316(f74(a1),a77),a77)),a87)),x92212))
% 163.96/163.66 [9222]~P123(x92221)+~P98(x92221)+P107(f316(f316(f225(x92221),f72(x92221)),f316(f93(x92221),x92222)))+~P107(f316(f316(f225(a1),f316(f316(f23(a1),f316(f316(f74(a1),a77),a77)),a87)),x92222))
% 163.96/163.66 [9751]~P140(x97512)+E(x97511,f72(x97512))+E(x97511,f316(f73(x97512),f72(x97512)))+~E(f316(f316(f233(x97512),x97511),f316(f93(a898),f316(f316(f74(a1),f316(f316(f23(a1),f316(f316(f74(a1),a77),a77)),a87)),f316(f316(f23(a1),f316(f316(f74(a1),a77),a77)),a87)))),f72(x97512))
% 163.96/163.66 [10022]~P98(x100221)+~P67(x100221)+~P107(f316(f316(f225(x100221),f2(x100221)),x100222))+P107(f316(f316(f225(x100221),f2(x100221)),f316(f316(f280(x100221),x100222),f316(f93(x100221),f316(f316(f74(a1),f316(f316(f23(a1),f316(f316(f74(a1),a77),a77)),a87)),f316(f316(f23(a1),f316(f316(f74(a1),a77),a77)),a87))))))
% 163.96/163.66 [10076]~P98(x100761)+~P67(x100761)+P107(f316(f316(f225(x100761),f2(x100761)),x100762))+~P107(f316(f316(f225(x100761),f2(x100761)),f316(f316(f280(x100761),x100762),f316(f93(x100761),f316(f316(f74(a1),f316(f316(f23(a1),f316(f316(f74(a1),a77),a77)),a87)),f316(f316(f23(a1),f316(f316(f74(a1),a77),a77)),a87))))))
% 163.96/163.66 [10371]~P141(x103712)+E(x103711,f2(a1))+P107(f316(f316(f225(a1),x103711),f2(a1)))+E(f316(f316(f246(a1,a1,x103712),f316(f316(f7(a1,f905(a1,f905(x103712,x103712)),f905(a1,x103712)),f316(f316(f8(f905(f905(x103712,x103712),x103712),f905(f905(a1,f905(x103712,x103712)),f905(a1,x103712)),a1),f8(f905(x103712,x103712),x103712,a1)),f316(f316(f8(x103712,f905(f905(x103712,x103712),x103712),a1),f80(x103712,x103712)),f92(x103712)))),f316(f316(f7(a1,f905(x103712,x103712),f905(x103712,x103712)),f316(f316(f8(f905(x103712,f905(x103712,x103712)),f905(f905(x103712,x103712),f905(x103712,x103712)),a1),f18(x103712,x103712,x103712)),f316(f316(f7(a1,f905(x103712,x103712),f905(x103712,f905(x103712,x103712))),f316(f316(f8(f905(x103712,f905(x103712,x103712)),f905(f905(x103712,x103712),f905(x103712,f905(x103712,x103712))),a1),f8(x103712,f905(x103712,x103712),x103712)),f316(f316(f8(a895,f905(x103712,f905(x103712,x103712)),a1),f86(x103712)),f316(f316(f7(a1,a1,a895),a313),f2(a1))))),f316(f316(f18(x103712,x103712,x103712),f74(x103712)),f5(x103712))))),f316(f316(f7(x103712,x103712,x103712),f316(f316(f8(x103712,f905(x103712,x103712),x103712),f74(x103712)),f316(f316(f18(x103712,x103712,x103712),f74(x103712)),f5(x103712)))),f72(x103712))))),f39(x103711,f316(f93(a1),f316(f316(f74(a1),f316(f316(f23(a1),f316(f316(f74(a1),a77),a77)),a87)),f316(f316(f23(a1),f316(f316(f74(a1),a77),a77)),a87))))),f316(f92(x103712),x103711))
% 163.96/163.66 [5406]~P37(x54061,x54063)+~P50(x54061,x54063)+~P52(x54061,x54062,x54063)+P5(x54061,x54062,x54063)
% 163.96/163.66 [4943]~P96(x49433)+~P98(x49433)+E(x49431,x49432)+~E(f316(f93(x49433),x49431),f316(f93(x49433),x49432))
% 163.96/163.66 [5416]~P48(x54161,x54162)+~P49(x54161,x54162)+P12(x54161,x54162)+~P107(f316(f316(x54162,x54163),x54163))
% 163.96/163.66 [5925]P12(x59252,x59251)+E(f316(x59251,f800(x59251)),f316(x59251,f801(x59251)))+P107(f316(f316(x59251,f800(x59251)),f801(x59251)))+~P107(f316(f316(x59251,x59253),x59253))
% 163.96/163.66 [6130]~P107(f316(x61301,x61302))+~P107(f316(x61301,x61303))+~P107(f316(f316(f224(a898),x61303),f472(x61302,x61301)))+P107(f316(x61301,f2(a898)))
% 163.96/163.66 [6198]P12(x61981,x61982)+P107(f316(f316(x61982,f800(x61982)),f800(x61982)))+P107(f316(f316(x61982,f800(x61982)),f801(x61982)))+~P107(f316(f316(x61982,x61983),x61983))
% 163.96/163.66 [6199]P12(x61991,x61992)+P107(f316(f316(x61992,f800(x61992)),f801(x61992)))+P107(f316(f316(x61992,f801(x61992)),f801(x61992)))+~P107(f316(f316(x61992,x61993),x61993))
% 163.96/163.66 [6560]P149(x65602,x65601,x65603)+E(x65601,f2(a1))+P107(f316(f316(f224(a1),f2(a1)),f839(x65603,x65601,x65602)))+P107(f316(f316(f225(a1),x65601),f2(a1)))
% 163.96/163.66 [6561]P148(x65612,x65611,x65613)+E(x65611,f2(a1))+P107(f316(f316(f224(a1),f2(a1)),f845(x65613,x65611,x65612)))+P107(f316(f316(f225(a1),x65611),f2(a1)))
% 163.96/163.66 [6689]P148(x66891,x66892,x66893)+~P107(f316(x66891,x66893))+P107(f316(f316(f224(a1),f2(a1)),f845(x66893,x66892,x66891)))+P107(f316(f316(f225(a1),x66892),f2(a1)))
% 163.96/163.66 [6715]P149(x67151,x67152,x67153)+P107(f316(f316(f224(a1),f2(a1)),f839(x67153,x67152,x67151)))+~P107(f316(x67151,f2(a1)))+P107(f316(f316(f225(a1),x67152),f2(a1)))
% 163.96/163.66 [6747]P149(x67472,x67471,x67473)+E(x67471,f2(a1))+~P107(f316(x67472,f840(x67473,x67471,x67472)))+P107(f316(f316(f225(a1),x67471),f2(a1)))
% 163.96/163.66 [6748]P148(x67482,x67481,x67483)+E(x67481,f2(a1))+~P107(f316(x67482,f845(x67483,x67481,x67482)))+P107(f316(f316(f225(a1),x67481),f2(a1)))
% 163.96/163.66 [6850]~P2(x68501)+~P108(x68501)+~P107(f316(f316(f225(x68501),x68502),f30(x68501,x68503)))+P107(f316(f316(f225(x68501),x68502),f373(x68503,x68502,x68501)))
% 163.96/163.66 [6860]P148(x68601,x68602,x68603)+~P107(f316(x68601,x68603))+~P107(f316(x68601,f845(x68603,x68602,x68601)))+P107(f316(f316(f225(a1),x68602),f2(a1)))
% 163.96/163.66 [6892]P149(x68921,x68922,x68923)+~P107(f316(x68921,f840(x68923,x68922,x68921)))+~P107(f316(x68921,f2(a1)))+P107(f316(f316(f225(a1),x68922),f2(a1)))
% 163.96/163.66 [7143]P149(x71432,x71431,x71433)+E(x71431,f2(a1))+P107(f316(f316(f224(a1),f2(a1)),f839(x71433,x71431,x71432)))+P107(f316(f316(f225(a1),x71431),f842(x71433,x71431,x71432)))
% 163.96/163.66 [7144]P148(x71442,x71441,x71443)+E(x71441,f2(a1))+P107(f316(f316(f224(a1),f2(a1)),f845(x71443,x71441,x71442)))+P107(f316(f316(f225(a1),x71441),f844(x71443,x71441,x71442)))
% 163.96/163.66 [7264]P148(x72641,x72642,x72643)+~P107(f316(x72641,x72643))+P107(f316(f316(f224(a1),f2(a1)),f845(x72643,x72642,x72641)))+P107(f316(f316(f225(a1),x72642),f844(x72643,x72642,x72641)))
% 163.96/163.66 [7285]P149(x72851,x72852,x72853)+P107(f316(f316(f224(a1),f2(a1)),f839(x72853,x72852,x72851)))+P107(f316(f316(f225(a1),x72852),f842(x72853,x72852,x72851)))+~P107(f316(x72851,f2(a1)))
% 163.96/163.66 [7318]P149(x73182,x73181,x73183)+E(x73181,f2(a1))+~P107(f316(x73182,f840(x73183,x73181,x73182)))+P107(f316(f316(f225(a1),x73181),f842(x73183,x73181,x73182)))
% 163.96/163.66 [7319]P148(x73192,x73191,x73193)+E(x73191,f2(a1))+~P107(f316(x73192,f845(x73193,x73191,x73192)))+P107(f316(f316(f225(a1),x73191),f844(x73193,x73191,x73192)))
% 163.96/163.66 [7363]P149(x73632,x73631,x73633)+E(x73631,f2(a1))+P107(f316(f316(f224(a1),f2(a1)),f839(x73633,x73631,x73632)))+~P107(f316(x73632,f843(x73633,x73631,x73632)))
% 163.96/163.66 [7364]P148(x73642,x73641,x73643)+E(x73641,f2(a1))+P107(f316(f316(f224(a1),f2(a1)),f845(x73643,x73641,x73642)))+~P107(f316(x73642,f844(x73643,x73641,x73642)))
% 163.96/163.66 [7460]P148(x74601,x74602,x74603)+~P107(f316(x74601,x74603))+~P107(f316(x74601,f845(x74603,x74602,x74601)))+P107(f316(f316(f225(a1),x74602),f844(x74603,x74602,x74601)))
% 163.96/163.66 [7475]P149(x74751,x74752,x74753)+~P107(f316(x74751,f840(x74753,x74752,x74751)))+P107(f316(f316(f225(a1),x74752),f842(x74753,x74752,x74751)))+~P107(f316(x74751,f2(a1)))
% 163.96/163.66 [7478]P148(x74781,x74782,x74783)+~P107(f316(x74781,x74783))+P107(f316(f316(f224(a1),f2(a1)),f845(x74783,x74782,x74781)))+~P107(f316(x74781,f844(x74783,x74782,x74781)))
% 163.96/163.66 [7495]P149(x74951,x74952,x74953)+P107(f316(f316(f224(a1),f2(a1)),f839(x74953,x74952,x74951)))+~P107(f316(x74951,f843(x74953,x74952,x74951)))+~P107(f316(x74951,f2(a1)))
% 163.96/163.66 [7518]P149(x75182,x75181,x75183)+E(x75181,f2(a1))+~P107(f316(x75182,f840(x75183,x75181,x75182)))+~P107(f316(x75182,f843(x75183,x75181,x75182)))
% 163.96/163.66 [7519]P148(x75192,x75191,x75193)+E(x75191,f2(a1))+~P107(f316(x75192,f845(x75193,x75191,x75192)))+~P107(f316(x75192,f844(x75193,x75191,x75192)))
% 163.96/163.66 [7604]P148(x76041,x76042,x76043)+~P107(f316(x76041,x76043))+~P107(f316(x76041,f845(x76043,x76042,x76041)))+~P107(f316(x76041,f844(x76043,x76042,x76041)))
% 163.96/163.66 [7622]P149(x76221,x76222,x76223)+~P107(f316(x76221,f840(x76223,x76222,x76221)))+~P107(f316(x76221,f843(x76223,x76222,x76221)))+~P107(f316(x76221,f2(a1)))
% 163.96/163.66 [7667]P149(x76672,x76671,x76673)+E(x76671,f2(a1))+P107(f316(f316(f224(a1),f2(a1)),f839(x76673,x76671,x76672)))+P107(f316(f316(f224(a1),f842(x76673,x76671,x76672)),f2(a1)))
% 163.96/163.66 [7668]P148(x76682,x76681,x76683)+E(x76681,f2(a1))+P107(f316(f316(f224(a1),f2(a1)),f845(x76683,x76681,x76682)))+P107(f316(f316(f224(a1),f844(x76683,x76681,x76682)),f2(a1)))
% 163.96/163.66 [7669]~P141(x76691)+~P107(f316(f316(f318(x76691),x76693),f99(x76691)))+~P107(f316(f316(f318(x76691),x76692),f99(x76691)))+P107(f316(f316(f318(x76691),f316(f316(f23(x76691),x76692),x76693)),f99(x76691)))
% 163.96/163.66 [7670]~P141(x76701)+~P107(f316(f316(f318(x76701),x76703),f99(x76701)))+~P107(f316(f316(f318(x76701),x76702),f99(x76701)))+P107(f316(f316(f318(x76701),f316(f316(f75(x76701),x76702),x76703)),f99(x76701)))
% 163.96/163.66 [7671]~P146(x76711)+~P107(f316(f316(f318(x76711),x76713),f176(x76711)))+~P107(f316(f316(f318(x76711),x76712),f176(x76711)))+P107(f316(f316(f318(x76711),f316(f316(f75(x76711),x76712),x76713)),f176(x76711)))
% 163.96/163.66 [7672]~P141(x76721)+~P107(f316(f316(f318(x76721),x76723),f99(x76721)))+~P107(f316(f316(f318(x76721),x76722),f99(x76721)))+P107(f316(f316(f318(x76721),f316(f316(f74(x76721),x76722),x76723)),f99(x76721)))
% 163.96/163.66 [7673]~P146(x76731)+~P107(f316(f316(f318(x76731),x76733),f176(x76731)))+~P107(f316(f316(f318(x76731),x76732),f176(x76731)))+P107(f316(f316(f318(x76731),f316(f316(f74(x76731),x76732),x76733)),f176(x76731)))
% 163.96/163.66 [7674]~P91(x76741)+~P107(f316(f316(f224(x76741),x76743),f2(x76741)))+~P107(f316(f316(f224(x76741),x76742),f2(x76741)))+P107(f316(f316(f224(x76741),f316(f316(f74(x76741),x76742),x76743)),f2(x76741)))
% 163.96/163.66 [7675]~P91(x76751)+~P107(f316(f316(f224(x76751),x76753),f2(x76751)))+~P107(f316(f316(f225(x76751),x76752),f2(x76751)))+P107(f316(f316(f225(x76751),f316(f316(f74(x76751),x76752),x76753)),f2(x76751)))
% 163.96/163.66 [7676]~P91(x76761)+~P107(f316(f316(f224(x76761),x76762),f2(x76761)))+~P107(f316(f316(f225(x76761),x76763),f2(x76761)))+P107(f316(f316(f225(x76761),f316(f316(f74(x76761),x76762),x76763)),f2(x76761)))
% 163.96/163.66 [7677]~P91(x76771)+~P107(f316(f316(f225(x76771),x76773),f2(x76771)))+~P107(f316(f316(f225(x76771),x76772),f2(x76771)))+P107(f316(f316(f225(x76771),f316(f316(f74(x76771),x76772),x76773)),f2(x76771)))
% 163.96/163.66 [7704]P149(x77043,x77041,x77042)+E(x77041,f2(a1))+E(f316(f316(f74(a1),f316(f316(f75(a1),x77041),f840(x77042,x77041,x77043))),f839(x77042,x77041,x77043)),x77042)+P107(f316(f316(f225(a1),x77041),f2(a1)))
% 163.96/163.66 [7705]P148(x77053,x77051,x77052)+E(x77051,f2(a1))+E(f316(f316(f74(a1),f316(f316(f75(a1),x77051),f846(x77052,x77051,x77053))),f845(x77052,x77051,x77053)),x77052)+P107(f316(f316(f225(a1),x77051),f2(a1)))
% 163.96/163.66 [7788]P148(x77881,x77882,x77883)+~P107(f316(x77881,x77883))+P107(f316(f316(f224(a1),f2(a1)),f845(x77883,x77882,x77881)))+P107(f316(f316(f224(a1),f844(x77883,x77882,x77881)),f2(a1)))
% 163.96/163.66 [7819]P149(x78191,x78192,x78193)+P107(f316(f316(f224(a1),f2(a1)),f839(x78193,x78192,x78191)))+~P107(f316(x78191,f2(a1)))+P107(f316(f316(f224(a1),f842(x78193,x78192,x78191)),f2(a1)))
% 163.96/163.66 [7828]P148(x78283,x78281,x78282)+~P107(f316(x78283,x78282))+E(f316(f316(f74(a1),f316(f316(f75(a1),x78281),f846(x78282,x78281,x78283))),f845(x78282,x78281,x78283)),x78282)+P107(f316(f316(f225(a1),x78281),f2(a1)))
% 163.96/163.66 [7834]P149(x78342,x78341,x78343)+E(x78341,f2(a1))+~P107(f316(x78342,f840(x78343,x78341,x78342)))+P107(f316(f316(f224(a1),f842(x78343,x78341,x78342)),f2(a1)))
% 163.96/163.66 [7835]P148(x78352,x78351,x78353)+E(x78351,f2(a1))+~P107(f316(x78352,f845(x78353,x78351,x78352)))+P107(f316(f316(f224(a1),f844(x78353,x78351,x78352)),f2(a1)))
% 163.96/163.66 [7840]P149(x78403,x78401,x78402)+E(f316(f316(f74(a1),f316(f316(f75(a1),x78401),f840(x78402,x78401,x78403))),f839(x78402,x78401,x78403)),x78402)+~P107(f316(x78403,f2(a1)))+P107(f316(f316(f225(a1),x78401),f2(a1)))
% 163.96/163.66 [7896]P148(x78961,x78962,x78963)+~P107(f316(x78961,x78963))+~P107(f316(x78961,f845(x78963,x78962,x78961)))+P107(f316(f316(f224(a1),f844(x78963,x78962,x78961)),f2(a1)))
% 163.96/163.66 [7900]P149(x79001,x79002,x79003)+~P107(f316(x79001,f840(x79003,x79002,x79001)))+~P107(f316(x79001,f2(a1)))+P107(f316(f316(f224(a1),f842(x79003,x79002,x79001)),f2(a1)))
% 163.96/163.66 [7971]~P128(x79711)+~P107(f316(f316(f224(x79711),f316(f316(f75(x79711),x79713),x79712)),f2(x79711)))+P107(f316(f316(f224(x79711),x79712),f2(x79711)))+P107(f316(f316(f224(x79711),x79713),f2(x79711)))
% 163.96/163.66 [7972]~P67(x79721)+~P107(f316(f316(f224(x79721),f316(f316(f280(x79721),x79723),x79722)),f2(x79721)))+P107(f316(f316(f224(x79721),x79722),f2(x79721)))+P107(f316(f316(f224(x79721),x79723),f2(x79721)))
% 163.96/163.66 [7973]~P67(x79731)+~P107(f316(f316(f225(x79731),f316(f316(f280(x79731),x79733),x79732)),f2(x79731)))+P107(f316(f316(f225(x79731),x79732),f2(x79731)))+P107(f316(f316(f225(x79731),x79733),f2(x79731)))
% 163.96/163.66 [8085]P149(x80853,x80851,x80852)+E(x80851,f2(a1))+E(f316(f316(f74(a1),f316(f316(f75(a1),x80851),f840(x80852,x80851,x80853))),f839(x80852,x80851,x80853)),x80852)+P107(f316(f316(f225(a1),x80851),f842(x80852,x80851,x80853)))
% 163.96/163.66 [8086]P148(x80863,x80861,x80862)+E(x80861,f2(a1))+E(f316(f316(f74(a1),f316(f316(f75(a1),x80861),f846(x80862,x80861,x80863))),f845(x80862,x80861,x80863)),x80862)+P107(f316(f316(f225(a1),x80861),f844(x80862,x80861,x80863)))
% 163.96/163.66 [8099]P149(x80993,x80991,x80992)+E(x80991,f2(a1))+E(f316(f316(f74(a1),f316(f316(f75(a1),x80991),f843(x80992,x80991,x80993))),f842(x80992,x80991,x80993)),x80992)+P107(f316(f316(f224(a1),f2(a1)),f839(x80992,x80991,x80993)))
% 163.96/163.66 [8100]P148(x81003,x81001,x81002)+E(x81001,f2(a1))+E(f316(f316(f74(a1),f316(f316(f75(a1),x81001),f847(x81002,x81001,x81003))),f844(x81002,x81001,x81003)),x81002)+P107(f316(f316(f224(a1),f2(a1)),f845(x81002,x81001,x81003)))
% 163.96/163.66 [8142]P148(x81423,x81421,x81422)+~P107(f316(x81423,x81422))+E(f316(f316(f74(a1),f316(f316(f75(a1),x81421),f846(x81422,x81421,x81423))),f845(x81422,x81421,x81423)),x81422)+P107(f316(f316(f225(a1),x81421),f844(x81422,x81421,x81423)))
% 163.96/163.66 [8151]P149(x81513,x81511,x81512)+E(f316(f316(f74(a1),f316(f316(f75(a1),x81511),f840(x81512,x81511,x81513))),f839(x81512,x81511,x81513)),x81512)+P107(f316(f316(f225(a1),x81511),f842(x81512,x81511,x81513)))+~P107(f316(x81513,f2(a1)))
% 163.96/163.66 [8157]P148(x81573,x81571,x81572)+~P107(f316(x81573,x81572))+E(f316(f316(f74(a1),f316(f316(f75(a1),x81571),f847(x81572,x81571,x81573))),f844(x81572,x81571,x81573)),x81572)+P107(f316(f316(f224(a1),f2(a1)),f845(x81572,x81571,x81573)))
% 163.96/163.66 [8163]P149(x81633,x81631,x81632)+E(f316(f316(f74(a1),f316(f316(f75(a1),x81631),f843(x81632,x81631,x81633))),f842(x81632,x81631,x81633)),x81632)+P107(f316(f316(f224(a1),f2(a1)),f839(x81632,x81631,x81633)))+~P107(f316(x81633,f2(a1)))
% 163.96/163.66 [8174]P149(x81743,x81741,x81742)+E(x81741,f2(a1))+E(f316(f316(f74(a1),f316(f316(f75(a1),x81741),f840(x81742,x81741,x81743))),f839(x81742,x81741,x81743)),x81742)+~P107(f316(x81743,f843(x81742,x81741,x81743)))
% 163.96/163.66 [8175]P148(x81753,x81751,x81752)+E(x81751,f2(a1))+E(f316(f316(f74(a1),f316(f316(f75(a1),x81751),f846(x81752,x81751,x81753))),f845(x81752,x81751,x81753)),x81752)+~P107(f316(x81753,f844(x81752,x81751,x81753)))
% 163.96/163.66 [8176]P149(x81763,x81761,x81762)+E(x81761,f2(a1))+E(f316(f316(f74(a1),f316(f316(f75(a1),x81761),f843(x81762,x81761,x81763))),f842(x81762,x81761,x81763)),x81762)+~P107(f316(x81763,f840(x81762,x81761,x81763)))
% 163.96/163.66 [8177]P148(x81773,x81771,x81772)+E(x81771,f2(a1))+E(f316(f316(f74(a1),f316(f316(f75(a1),x81771),f847(x81772,x81771,x81773))),f844(x81772,x81771,x81773)),x81772)+~P107(f316(x81773,f845(x81772,x81771,x81773)))
% 163.96/163.66 [8236]P148(x82363,x82361,x82362)+~P107(f316(x82363,x82362))+E(f316(f316(f74(a1),f316(f316(f75(a1),x82361),f846(x82362,x82361,x82363))),f845(x82362,x82361,x82363)),x82362)+~P107(f316(x82363,f844(x82362,x82361,x82363)))
% 163.96/163.66 [8237]P148(x82373,x82371,x82372)+~P107(f316(x82373,x82372))+E(f316(f316(f74(a1),f316(f316(f75(a1),x82371),f847(x82372,x82371,x82373))),f844(x82372,x82371,x82373)),x82372)+~P107(f316(x82373,f845(x82372,x82371,x82373)))
% 163.96/163.66 [8249]P149(x82493,x82491,x82492)+E(f316(f316(f74(a1),f316(f316(f75(a1),x82491),f840(x82492,x82491,x82493))),f839(x82492,x82491,x82493)),x82492)+~P107(f316(x82493,f843(x82492,x82491,x82493)))+~P107(f316(x82493,f2(a1)))
% 163.96/163.66 [8250]P149(x82503,x82501,x82502)+E(f316(f316(f74(a1),f316(f316(f75(a1),x82501),f843(x82502,x82501,x82503))),f842(x82502,x82501,x82503)),x82502)+~P107(f316(x82503,f840(x82502,x82501,x82503)))+~P107(f316(x82503,f2(a1)))
% 163.96/163.66 [8348]P149(x83483,x83481,x83482)+E(x83481,f2(a1))+E(f316(f316(f74(a1),f316(f316(f75(a1),x83481),f840(x83482,x83481,x83483))),f839(x83482,x83481,x83483)),x83482)+P107(f316(f316(f224(a1),f842(x83482,x83481,x83483)),f2(a1)))
% 163.96/163.66 [8349]P148(x83493,x83491,x83492)+E(x83491,f2(a1))+E(f316(f316(f74(a1),f316(f316(f75(a1),x83491),f846(x83492,x83491,x83493))),f845(x83492,x83491,x83493)),x83492)+P107(f316(f316(f224(a1),f844(x83492,x83491,x83493)),f2(a1)))
% 163.96/163.66 [8389]P148(x83893,x83891,x83892)+~P107(f316(x83893,x83892))+E(f316(f316(f74(a1),f316(f316(f75(a1),x83891),f846(x83892,x83891,x83893))),f845(x83892,x83891,x83893)),x83892)+P107(f316(f316(f224(a1),f844(x83892,x83891,x83893)),f2(a1)))
% 163.96/163.66 [8394]P149(x83943,x83941,x83942)+E(f316(f316(f74(a1),f316(f316(f75(a1),x83941),f840(x83942,x83941,x83943))),f839(x83942,x83941,x83943)),x83942)+~P107(f316(x83943,f2(a1)))+P107(f316(f316(f224(a1),f842(x83942,x83941,x83943)),f2(a1)))
% 163.96/163.66 [8528]P149(x85283,x85281,x85282)+E(x85281,f2(a1))+E(f316(f316(f74(a1),f316(f316(f75(a1),x85281),f843(x85282,x85281,x85283))),f842(x85282,x85281,x85283)),x85282)+E(f316(f316(f74(a1),f316(f316(f75(a1),x85281),f840(x85282,x85281,x85283))),f839(x85282,x85281,x85283)),x85282)
% 163.96/163.66 [8529]P148(x85293,x85291,x85292)+E(x85291,f2(a1))+E(f316(f316(f74(a1),f316(f316(f75(a1),x85291),f847(x85292,x85291,x85293))),f844(x85292,x85291,x85293)),x85292)+E(f316(f316(f74(a1),f316(f316(f75(a1),x85291),f846(x85292,x85291,x85293))),f845(x85292,x85291,x85293)),x85292)
% 163.96/163.66 [8549]P148(x85493,x85491,x85492)+~P107(f316(x85493,x85492))+E(f316(f316(f74(a1),f316(f316(f75(a1),x85491),f847(x85492,x85491,x85493))),f844(x85492,x85491,x85493)),x85492)+E(f316(f316(f74(a1),f316(f316(f75(a1),x85491),f846(x85492,x85491,x85493))),f845(x85492,x85491,x85493)),x85492)
% 163.96/163.66 [8560]P149(x85603,x85601,x85602)+E(f316(f316(f74(a1),f316(f316(f75(a1),x85601),f843(x85602,x85601,x85603))),f842(x85602,x85601,x85603)),x85602)+E(f316(f316(f74(a1),f316(f316(f75(a1),x85601),f840(x85602,x85601,x85603))),f839(x85602,x85601,x85603)),x85602)+~P107(f316(x85603,f2(a1)))
% 163.96/163.66 [9229]~P128(x92291)+~E(x92293,f2(x92291))+~E(x92292,f2(x92291))+P107(f316(f316(f224(x92291),f316(f316(f74(x92291),f316(f316(f75(x92291),x92292),x92292)),f316(f316(f75(x92291),x92293),x92293))),f2(x92291)))
% 163.96/163.66 [10312]~P123(x103121)+~E(x103123,f2(x103121))+~E(x103122,f2(x103121))+P107(f316(f316(f224(x103121),f316(f316(f74(x103121),f316(f316(f233(x103121),x103122),f316(f93(a898),f316(f316(f74(a1),f316(f316(f23(a1),f316(f316(f74(a1),a77),a77)),a87)),f316(f316(f23(a1),f316(f316(f74(a1),a77),a77)),a87))))),f316(f316(f233(x103121),x103123),f316(f93(a898),f316(f316(f74(a1),f316(f316(f23(a1),f316(f316(f74(a1),a77),a77)),a87)),f316(f316(f23(a1),f316(f316(f74(a1),a77),a77)),a87)))))),f2(x103121)))
% 163.96/163.66 [4891]~E(x48913,x48911)+~P120(x48912)+E(x48911,f2(x48912))+E(f316(f316(f280(x48912),x48913),x48911),f72(x48912))
% 163.96/163.66 [4944]~P85(x49441)+~E(x49443,f178(x49441))+~E(x49442,f178(x49441))+E(f316(f316(f100(x49441),x49442),x49443),f178(x49441))
% 163.96/163.66 [4945]~P101(x49451)+~E(x49453,f231(x49451))+~E(x49452,f231(x49451))+E(f316(f316(f91(x49451),x49452),x49453),f231(x49451))
% 163.96/163.66 [5042]~P120(x50423)+E(x50421,x50422)+E(x50422,f2(x50423))+~E(f316(f316(f280(x50423),x50421),x50422),f72(x50423))
% 163.96/163.66 [5060]~P130(x50602)+E(x50601,f2(x50602))+E(x50603,f2(x50602))+~E(f316(f316(f75(x50602),x50603),x50601),f2(x50602))
% 163.96/163.66 [5061]~P144(x50612)+E(x50611,f2(x50612))+E(x50613,f2(x50612))+~E(f316(f316(f75(x50612),x50613),x50611),f2(x50612))
% 163.96/163.66 [5435]~P113(x54353)+E(x54351,x54352)+E(x54351,f316(f73(x54353),x54352))+~E(f316(f316(f75(x54353),x54351),x54351),f316(f316(f75(x54353),x54352),x54352))
% 163.96/163.66 [5474]~P94(x54741)+E(f316(f73(x54741),x54742),x54743)+~E(f316(f316(f100(x54741),x54742),x54743),f231(x54741))+~E(f316(f316(f91(x54741),x54742),x54743),f178(x54741))
% 163.96/163.66 [5555]~P123(x55553)+E(x55551,x55552)+P107(f316(f316(f225(x55553),x55552),x55551))+P107(f316(f316(f225(x55553),x55551),x55552))
% 163.96/163.66 [5556]~P108(x55563)+E(x55561,x55562)+P107(f316(f316(f225(x55563),x55562),x55561))+P107(f316(f316(f225(x55563),x55561),x55562))
% 163.96/163.66 [5557]~E(x55572,x55573)+~P108(x55571)+P107(f316(f316(f225(x55571),x55572),x55573))+P107(f316(f316(f224(x55571),x55572),x55573))
% 163.96/163.66 [5819]~P111(x58193)+E(x58191,x58192)+~P107(f316(f316(f224(x58193),x58192),x58191))+P107(f316(f316(f225(x58193),x58192),x58191))
% 163.96/163.66 [5821]~P108(x58213)+E(x58211,x58212)+~P107(f316(f316(f224(x58213),x58211),x58212))+P107(f316(f316(f225(x58213),x58211),x58212))
% 163.96/163.66 [5827]~P111(x58273)+E(x58271,x58272)+~P107(f316(f316(f224(x58273),x58271),x58272))+P107(f316(f316(f225(x58273),x58271),x58272))
% 163.96/163.66 [5942]P148(x59421,x59422,x59423)+~P107(f316(x59421,x59423))+P107(f316(f316(f225(a1),x59422),f2(a1)))+P107(f316(f316(f225(a1),f2(a1)),x59422))
% 163.96/163.66 [5995]P149(x59951,x59952,x59953)+~P107(f316(x59951,f2(a1)))+P107(f316(f316(f225(a1),x59952),f2(a1)))+P107(f316(f316(f225(a1),f2(a1)),x59952))
% 163.96/163.66 [6000]~P84(x60001)+E(f316(f316(f100(x60001),x60002),f10(x60001,x60003)),x60002)+~P107(f316(f54(x60001),x60003))+~P107(f316(f316(f318(x60001),x60002),x60003))
% 163.96/163.66 [6001]~P84(x60011)+E(f316(f316(f91(x60011),x60012),f13(x60011,x60013)),x60012)+~P107(f316(f54(x60011),x60013))+~P107(f316(f316(f318(x60011),x60012),x60013))
% 163.96/163.66 [6039]~P84(x60391)+E(f316(f316(f100(x60391),x60392),f13(x60391,x60393)),f13(x60391,x60393))+~P107(f316(f54(x60391),x60393))+~P107(f316(f316(f318(x60391),x60392),x60393))
% 163.96/163.66 [6040]~P84(x60401)+E(f316(f316(f91(x60401),x60402),f10(x60401,x60403)),f10(x60401,x60403))+~P107(f316(f54(x60401),x60403))+~P107(f316(f316(f318(x60401),x60402),x60403))
% 163.96/163.66 [6041]~P108(x60411)+E(f316(f316(f222(x60411),x60412),f14(x60411,x60413)),f14(x60411,x60413))+~P107(f316(f54(x60411),x60413))+~P107(f316(f316(f318(x60411),x60412),x60413))
% 163.96/163.66 [6042]~P108(x60421)+E(f316(f316(f223(x60421),x60422),f15(x60421,x60423)),f15(x60421,x60423))+~P107(f316(f54(x60421),x60423))+~P107(f316(f316(f318(x60421),x60422),x60423))
% 163.96/163.66 [6081]E(x60811,x60812)+~P111(x60813)+~P107(f316(f316(f224(x60813),x60812),x60811))+~P107(f316(f316(f224(x60813),x60811),x60812))
% 163.96/163.66 [6227]~P109(x62271)+P107(f316(f316(f225(x62271),x62273),x62272))+~P107(f316(f316(f224(x62271),x62273),x62272))+P107(f316(f316(f224(x62271),x62272),x62273))
% 163.96/163.66 [6255]~P108(x62551)+~P107(f316(f54(x62551),x62553))+P107(f316(f316(f224(x62551),x62552),f15(x62551,x62553)))+~P107(f316(f316(f318(x62551),x62552),x62553))
% 163.96/163.66 [6302]~P108(x63021)+E(f316(f316(f222(x63021),x63022),f12(x63021,f223(x63021),x63023)),x63022)+~P107(f316(f54(x63021),x63023))+~P107(f316(f316(f318(x63021),x63022),x63023))
% 163.96/163.66 [6303]~P108(x63031)+E(f316(f316(f223(x63031),x63032),f11(x63031,f222(x63031),x63033)),x63032)+~P107(f316(f54(x63031),x63033))+~P107(f316(f316(f318(x63031),x63032),x63033))
% 163.96/163.66 [6447]E(x64471,x64472)+~E(f316(f316(f23(a898),x64471),x64473),f316(f316(f23(a898),x64472),x64473))+~P107(f316(f316(f224(a898),x64473),x64471))+~P107(f316(f316(f224(a898),x64473),x64472))
% 163.96/163.66 [6474]~P108(x64741)+~P107(f316(f54(x64741),x64742))+~P107(f316(f316(f318(x64741),x64743),x64742))+P107(f316(f316(f224(x64741),f14(x64741,x64742)),x64743))
% 163.96/163.66 [6539]P149(x65392,x65391,x65393)+E(x65391,f2(a1))+P107(f316(f316(f225(a1),x65391),f842(x65393,x65391,x65392)))+P107(f316(f316(f225(a1),f2(a1)),x65391))
% 163.96/163.66 [6540]P148(x65402,x65401,x65403)+E(x65401,f2(a1))+P107(f316(f316(f225(a1),x65401),f844(x65403,x65401,x65402)))+P107(f316(f316(f225(a1),f2(a1)),x65401))
% 163.96/163.66 [6541]~P108(x65411)+E(f316(f316(f222(x65411),x65412),f11(x65411,f222(x65411),x65413)),f11(x65411,f222(x65411),x65413))+~P107(f316(f54(x65411),x65413))+~P107(f316(f316(f318(x65411),x65412),x65413))
% 163.96/163.66 [6542]~P108(x65421)+E(f316(f316(f223(x65421),x65422),f12(x65421,f223(x65421),x65423)),f12(x65421,f223(x65421),x65423))+~P107(f316(f54(x65421),x65423))+~P107(f316(f316(f318(x65421),x65422),x65423))
% 163.96/163.66 [6547]~P107(f316(x65471,x65472))+P107(f316(x65471,f595(x65472,x65471,x65473)))+P107(f316(x65471,f2(a898)))+~P107(f316(f316(f225(a898),x65472),x65473))
% 163.96/163.66 [6607]~P107(f316(x66071,x66072))+~P107(f316(f54(x66073),x66072))+P107(f316(x66071,f334(x66071,x66072,x66073)))+P107(f316(x66071,f178(f905(x66073,a895))))
% 163.96/163.66 [6620]~P123(x66201)+~P98(x66201)+P107(f316(f316(f224(x66201),f316(f93(x66201),x66202)),f316(f93(x66201),x66203)))+~P107(f316(f316(f224(a1),x66202),x66203))
% 163.96/163.66 [6621]~P123(x66211)+~P98(x66211)+P107(f316(f316(f225(x66211),f316(f93(x66211),x66212)),f316(f93(x66211),x66213)))+~P107(f316(f316(f225(a1),x66212),x66213))
% 163.96/163.66 [6624]~P107(f316(x66241,x66243))+~P107(f316(f54(x66242),x66243))+P107(f316(f54(x66242),f334(x66241,x66243,x66242)))+P107(f316(x66241,f178(f905(x66242,a895))))
% 163.96/163.66 [6658]P148(x66581,x66582,x66583)+~P107(f316(x66581,x66583))+P107(f316(f316(f225(a1),x66582),f844(x66583,x66582,x66581)))+P107(f316(f316(f225(a1),f2(a1)),x66582))
% 163.96/163.66 [6696]P149(x66961,x66962,x66963)+P107(f316(f316(f225(a1),x66962),f842(x66963,x66962,x66961)))+~P107(f316(x66961,f2(a1)))+P107(f316(f316(f225(a1),f2(a1)),x66962))
% 163.96/163.66 [6726]~P110(x67261)+~P97(x67261)+E(f316(f316(f222(x67261),f316(f93(x67261),x67262)),f316(f93(x67261),x67263)),f316(f93(x67261),x67263))+P107(f316(f316(f224(x67261),f316(f93(x67261),x67262)),f316(f93(x67261),x67263)))
% 163.96/163.66 [6727]~P110(x67271)+~P97(x67271)+E(f316(f316(f223(x67271),f316(f93(x67271),x67272)),f316(f93(x67271),x67273)),f316(f93(x67271),x67272))+P107(f316(f316(f224(x67271),f316(f93(x67271),x67272)),f316(f93(x67271),x67273)))
% 163.96/163.66 [6787]P149(x67872,x67871,x67873)+E(x67871,f2(a1))+~P107(f316(x67872,f843(x67873,x67871,x67872)))+P107(f316(f316(f225(a1),f2(a1)),x67871))
% 163.96/163.66 [6788]P148(x67882,x67881,x67883)+E(x67881,f2(a1))+~P107(f316(x67882,f844(x67883,x67881,x67882)))+P107(f316(f316(f225(a1),f2(a1)),x67881))
% 163.96/163.66 [6792]P107(f316(x67921,x67922))+~P107(f316(f54(x67923),x67922))+P107(f316(x67921,f751(x67921,x67922,x67923)))+~P107(f316(x67921,f178(f905(x67923,a895))))
% 163.96/163.66 [6813]P107(f316(x68131,x68132))+P107(f316(f54(x68133),f751(x68131,x68132,x68133)))+~P107(f316(f54(x68133),x68132))+~P107(f316(x68131,f178(f905(x68133,a895))))
% 163.96/163.66 [6881]P148(x68811,x68812,x68813)+~P107(f316(x68811,x68813))+~P107(f316(x68811,f844(x68813,x68812,x68811)))+P107(f316(f316(f225(a1),f2(a1)),x68812))
% 163.96/163.66 [6911]P149(x69111,x69112,x69113)+~P107(f316(x69111,f843(x69113,x69112,x69111)))+~P107(f316(x69111,f2(a1)))+P107(f316(f316(f225(a1),f2(a1)),x69112))
% 163.96/163.66 [7018]~P98(x70183)+~P123(x70183)+~P107(f316(f316(f224(x70183),f316(f93(x70183),x70181)),f316(f93(x70183),x70182)))+P107(f316(f316(f224(a1),x70181),x70182))
% 163.96/163.66 [7019]~P98(x70193)+~P123(x70193)+~P107(f316(f316(f225(x70193),f316(f93(x70193),x70191)),f316(f93(x70193),x70192)))+P107(f316(f316(f225(a1),x70191),x70192))
% 163.96/163.66 [7046]~P108(x70461)+~P10(x70461,x70463)+P10(x70461,f316(f316(f141(x70461),x70462),x70463))+~P107(f316(f316(f224(x70461),x70462),f703(x70463,x70462,x70461)))
% 163.96/163.66 [7047]~P108(x70471)+~P10(x70471,x70473)+P10(x70471,f316(f316(f141(x70471),x70472),x70473))+~P107(f316(f316(f224(x70471),x70472),f705(x70473,x70472,x70471)))
% 163.96/163.66 [7048]~P108(x70481)+~P10(x70481,x70483)+P10(x70481,f316(f316(f141(x70481),x70482),x70483))+~P107(f316(f316(f224(x70481),x70482),f743(x70482,x70483,x70481)))
% 163.96/163.66 [7136]P149(x71362,x71361,x71363)+E(x71361,f2(a1))+P107(f316(f316(f225(a1),x71361),f2(a1)))+P107(f316(f316(f225(a1),f839(x71363,x71361,x71362)),x71361))
% 163.96/163.66 [7137]P148(x71372,x71371,x71373)+E(x71371,f2(a1))+P107(f316(f316(f225(a1),x71371),f2(a1)))+P107(f316(f316(f225(a1),f845(x71373,x71371,x71372)),x71371))
% 163.96/163.66 [7174]P149(x71742,x71741,x71743)+E(x71741,f2(a1))+P107(f316(f316(f224(a1),f842(x71743,x71741,x71742)),f2(a1)))+P107(f316(f316(f225(a1),f2(a1)),x71741))
% 163.96/163.66 [7175]P148(x71752,x71751,x71753)+E(x71751,f2(a1))+P107(f316(f316(f224(a1),f844(x71753,x71751,x71752)),f2(a1)))+P107(f316(f316(f225(a1),f2(a1)),x71751))
% 163.96/163.66 [7200]~P108(x72001)+~P10(x72001,x72003)+E(f316(f316(f138(x72001,x72001,f5(x72001)),x72002),f160(x72001,x72002,x72003)),x72003)+~P107(f316(f316(f318(x72001),x72002),f316(f162(x72001),x72003)))
% 163.96/163.66 [7247]P148(x72471,x72472,x72473)+~P107(f316(x72471,x72473))+P107(f316(f316(f225(a1),x72472),f2(a1)))+P107(f316(f316(f225(a1),f845(x72473,x72472,x72471)),x72472))
% 163.96/163.66 [7253]~P110(x72531)+~P97(x72531)+E(f316(f316(f222(x72531),f316(f93(x72531),x72532)),f316(f93(x72531),x72533)),f316(f93(x72531),x72532))+~P107(f316(f316(f224(x72531),f316(f93(x72531),x72532)),f316(f93(x72531),x72533)))
% 163.96/163.66 [7254]~P110(x72541)+~P97(x72541)+E(f316(f316(f223(x72541),f316(f93(x72541),x72542)),f316(f93(x72541),x72543)),f316(f93(x72541),x72543))+~P107(f316(f316(f224(x72541),f316(f93(x72541),x72542)),f316(f93(x72541),x72543)))
% 163.96/163.66 [7268]P149(x72681,x72682,x72683)+~P107(f316(x72681,f2(a1)))+P107(f316(f316(f225(a1),x72682),f2(a1)))+P107(f316(f316(f225(a1),f839(x72683,x72682,x72681)),x72682))
% 163.96/163.66 [7278]P148(x72781,x72782,x72783)+~P107(f316(x72781,x72783))+P107(f316(f316(f224(a1),f844(x72783,x72782,x72781)),f2(a1)))+P107(f316(f316(f225(a1),f2(a1)),x72782))
% 163.96/163.66 [7302]P149(x73021,x73022,x73023)+~P107(f316(x73021,f2(a1)))+P107(f316(f316(f224(a1),f842(x73023,x73022,x73021)),f2(a1)))+P107(f316(f316(f225(a1),f2(a1)),x73022))
% 163.96/163.66 [7330]~P107(f316(x73301,x73302))+P107(f316(x73301,f2(a898)))+~P107(f316(f316(f225(a898),x73302),x73303))+P107(f316(f316(f225(a898),f595(x73302,x73301,x73303)),x73303))
% 163.96/163.66 [7347]~P108(x73471)+~P10(x73471,x73473)+P10(x73471,f316(f316(f141(x73471),x73472),x73473))+P107(f316(f316(f318(x73471),f703(x73473,x73472,x73471)),f316(f162(x73471),x73473)))
% 163.96/163.66 [7348]~P108(x73481)+~P10(x73481,x73483)+P10(x73481,f316(f316(f141(x73481),x73482),x73483))+P107(f316(f316(f318(x73481),f705(x73483,x73482,x73481)),f316(f162(x73481),x73483)))
% 163.96/163.66 [7349]~P108(x73491)+~P10(x73491,x73493)+P10(x73491,f316(f316(f141(x73491),x73492),x73493))+P107(f316(f316(f318(x73491),f743(x73492,x73493,x73491)),f316(f162(x73491),x73493)))
% 163.96/163.66 [7464]~P2(x74641)+~P108(x74641)+~P107(f316(f316(f225(x74641),x74643),f30(x74641,x74642)))+P107(f316(f316(f318(x74641),f373(x74642,x74643,x74641)),x74642))
% 163.96/163.66 [7620]~P2(x76201)+~P108(x76201)+~P107(f316(f316(f225(x76201),f31(x76201,x76203)),x76202))+P107(f316(f316(f318(x76201),f338(x76202,x76203,x76201)),x76203))
% 163.96/163.66 [7621]~P2(x76211)+~P108(x76211)+~P107(f316(f316(f225(x76211),f31(x76211,x76213)),x76212))+P107(f316(f316(f225(x76211),f338(x76212,x76213,x76211)),x76212))
% 163.96/163.66 [7632]P149(x76322,x76321,x76323)+E(x76321,f2(a1))+P107(f316(f316(f225(a1),x76321),f842(x76323,x76321,x76322)))+P107(f316(f316(f225(a1),f839(x76323,x76321,x76322)),x76321))
% 163.96/163.66 [7633]P148(x76332,x76331,x76333)+E(x76331,f2(a1))+P107(f316(f316(f225(a1),x76331),f844(x76333,x76331,x76332)))+P107(f316(f316(f225(a1),f845(x76333,x76331,x76332)),x76331))
% 163.96/163.66 [7727]P149(x77273,x77271,x77272)+E(x77271,f2(a1))+E(f316(f316(f74(a1),f316(f316(f75(a1),x77271),f843(x77272,x77271,x77273))),f842(x77272,x77271,x77273)),x77272)+P107(f316(f316(f225(a1),f2(a1)),x77271))
% 163.96/163.66 [7728]P148(x77283,x77281,x77282)+E(x77281,f2(a1))+E(f316(f316(f74(a1),f316(f316(f75(a1),x77281),f847(x77282,x77281,x77283))),f844(x77282,x77281,x77283)),x77282)+P107(f316(f316(f225(a1),f2(a1)),x77281))
% 163.96/163.66 [7730]~P128(x77301)+~P107(f316(f316(f224(x77301),x77303),f2(x77301)))+P107(f316(f316(f224(x77301),f316(f316(f75(x77301),x77302),x77303)),f2(x77301)))+~P107(f316(f316(f224(x77301),f2(x77301)),x77302))
% 163.96/163.66 [7731]~P128(x77311)+~P107(f316(f316(f224(x77311),x77312),f2(x77311)))+P107(f316(f316(f224(x77311),f316(f316(f75(x77311),x77312),x77313)),f2(x77311)))+~P107(f316(f316(f224(x77311),f2(x77311)),x77313))
% 163.96/163.66 [7733]~P136(x77331)+~P107(f316(f316(f224(x77331),x77333),f2(x77331)))+P107(f316(f316(f224(x77331),f316(f316(f75(x77331),x77332),x77333)),f2(x77331)))+~P107(f316(f316(f224(x77331),f2(x77331)),x77332))
% 163.96/163.66 [7735]~P136(x77351)+~P107(f316(f316(f224(x77351),x77352),f2(x77351)))+P107(f316(f316(f224(x77351),f316(f316(f75(x77351),x77352),x77353)),f2(x77351)))+~P107(f316(f316(f224(x77351),f2(x77351)),x77353))
% 163.96/163.66 [7736]~P67(x77361)+~P107(f316(f316(f224(x77361),x77363),f2(x77361)))+P107(f316(f316(f224(x77361),f316(f316(f280(x77361),x77362),x77363)),f2(x77361)))+~P107(f316(f316(f224(x77361),f2(x77361)),x77362))
% 163.96/163.66 [7737]~P67(x77371)+~P107(f316(f316(f224(x77371),x77372),f2(x77371)))+P107(f316(f316(f224(x77371),f316(f316(f280(x77371),x77372),x77373)),f2(x77371)))+~P107(f316(f316(f224(x77371),f2(x77371)),x77373))
% 163.96/163.66 [7738]~P68(x77381)+~P107(f316(f316(f224(x77381),x77382),f2(x77381)))+P107(f316(f316(f224(x77381),f316(f316(f280(x77381),x77382),x77383)),f2(x77381)))+~P107(f316(f316(f225(x77381),f2(x77381)),x77383))
% 163.96/163.66 [7739]~P68(x77391)+~P107(f316(f316(f225(x77391),x77393),f2(x77391)))+P107(f316(f316(f224(x77391),f316(f316(f280(x77391),x77392),x77393)),f2(x77391)))+~P107(f316(f316(f224(x77391),f2(x77391)),x77392))
% 163.96/163.66 [7741]~P132(x77411)+~P107(f316(f316(f225(x77411),x77413),f2(x77411)))+P107(f316(f316(f225(x77411),f316(f316(f75(x77411),x77412),x77413)),f2(x77411)))+~P107(f316(f316(f225(x77411),f2(x77411)),x77412))
% 163.96/163.66 [7742]~P132(x77421)+~P107(f316(f316(f225(x77421),x77422),f2(x77421)))+P107(f316(f316(f225(x77421),f316(f316(f75(x77421),x77422),x77423)),f2(x77421)))+~P107(f316(f316(f225(x77421),f2(x77421)),x77423))
% 163.96/163.66 [7743]~P67(x77431)+~P107(f316(f316(f225(x77431),x77433),f2(x77431)))+P107(f316(f316(f225(x77431),f316(f316(f280(x77431),x77432),x77433)),f2(x77431)))+~P107(f316(f316(f225(x77431),f2(x77431)),x77432))
% 163.96/163.66 [7744]~P67(x77441)+~P107(f316(f316(f225(x77441),x77442),f2(x77441)))+P107(f316(f316(f225(x77441),f316(f316(f280(x77441),x77442),x77443)),f2(x77441)))+~P107(f316(f316(f225(x77441),f2(x77441)),x77443))
% 163.96/163.66 [7745]~P68(x77451)+~P107(f316(f316(f225(x77451),x77453),f2(x77451)))+P107(f316(f316(f225(x77451),f316(f316(f280(x77451),x77452),x77453)),f2(x77451)))+~P107(f316(f316(f225(x77451),f2(x77451)),x77452))
% 163.96/163.66 [7746]~P68(x77461)+~P107(f316(f316(f225(x77461),x77462),f2(x77461)))+P107(f316(f316(f225(x77461),f316(f316(f280(x77461),x77462),x77463)),f2(x77461)))+~P107(f316(f316(f225(x77461),f2(x77461)),x77463))
% 163.96/163.66 [7761]P148(x77611,x77612,x77613)+~P107(f316(x77611,x77613))+P107(f316(f316(f225(a1),x77612),f844(x77613,x77612,x77611)))+P107(f316(f316(f225(a1),f845(x77613,x77612,x77611)),x77612))
% 163.96/163.66 [7774]P149(x77741,x77742,x77743)+P107(f316(f316(f225(a1),x77742),f842(x77743,x77742,x77741)))+~P107(f316(x77741,f2(a1)))+P107(f316(f316(f225(a1),f839(x77743,x77742,x77741)),x77742))
% 163.96/163.66 [7826]P149(x78262,x78261,x78263)+E(x78261,f2(a1))+~P107(f316(x78262,f843(x78263,x78261,x78262)))+P107(f316(f316(f225(a1),f839(x78263,x78261,x78262)),x78261))
% 163.96/163.66 [7827]P148(x78272,x78271,x78273)+E(x78271,f2(a1))+~P107(f316(x78272,f844(x78273,x78271,x78272)))+P107(f316(f316(f225(a1),f845(x78273,x78271,x78272)),x78271))
% 163.96/163.66 [7837]P148(x78373,x78371,x78372)+~P107(f316(x78373,x78372))+E(f316(f316(f74(a1),f316(f316(f75(a1),x78371),f847(x78372,x78371,x78373))),f844(x78372,x78371,x78373)),x78372)+P107(f316(f316(f225(a1),f2(a1)),x78371))
% 163.96/163.66 [7852]P149(x78523,x78521,x78522)+E(f316(f316(f74(a1),f316(f316(f75(a1),x78521),f843(x78522,x78521,x78523))),f842(x78522,x78521,x78523)),x78522)+~P107(f316(x78523,f2(a1)))+P107(f316(f316(f225(a1),f2(a1)),x78521))
% 163.96/163.66 [7880]~P107(f316(x78801,x78803))+~P107(f316(f54(x78802),x78803))+P107(f316(f316(f318(x78802),f343(x78801,x78803,x78802)),f334(x78801,x78803,x78802)))+P107(f316(x78801,f178(f905(x78802,a895))))
% 163.96/163.66 [7891]P148(x78911,x78912,x78913)+~P107(f316(x78911,x78913))+~P107(f316(x78911,f844(x78913,x78912,x78911)))+P107(f316(f316(f225(a1),f845(x78913,x78912,x78911)),x78912))
% 163.96/163.66 [7897]P149(x78971,x78972,x78973)+~P107(f316(x78971,f843(x78973,x78972,x78971)))+~P107(f316(x78971,f2(a1)))+P107(f316(f316(f225(a1),f839(x78973,x78972,x78971)),x78972))
% 163.96/163.66 [8002]~P128(x80021)+~P107(f316(f316(f224(x80021),f316(f316(f75(x80021),x80023),x80022)),f2(x80021)))+P107(f316(f316(f224(x80021),x80022),f2(x80021)))+P107(f316(f316(f224(x80021),f2(x80021)),x80022))
% 163.96/163.66 [8003]~P128(x80031)+~P107(f316(f316(f224(x80031),f316(f316(f75(x80031),x80032),x80033)),f2(x80031)))+P107(f316(f316(f224(x80031),x80032),f2(x80031)))+P107(f316(f316(f224(x80031),f2(x80031)),x80032))
% 163.96/163.66 [8004]~P67(x80041)+~P107(f316(f316(f224(x80041),f316(f316(f280(x80041),x80043),x80042)),f2(x80041)))+P107(f316(f316(f224(x80041),x80042),f2(x80041)))+P107(f316(f316(f224(x80041),f2(x80041)),x80042))
% 163.96/163.66 [8005]~P67(x80051)+~P107(f316(f316(f224(x80051),f316(f316(f280(x80051),x80052),x80053)),f2(x80051)))+P107(f316(f316(f224(x80051),x80052),f2(x80051)))+P107(f316(f316(f224(x80051),f2(x80051)),x80052))
% 163.96/163.66 [8006]~P67(x80061)+~P107(f316(f316(f225(x80061),f316(f316(f280(x80061),x80063),x80062)),f2(x80061)))+P107(f316(f316(f225(x80061),x80062),f2(x80061)))+P107(f316(f316(f225(x80061),f2(x80061)),x80062))
% 163.96/163.66 [8007]~P67(x80071)+~P107(f316(f316(f225(x80071),f316(f316(f280(x80071),x80072),x80073)),f2(x80071)))+P107(f316(f316(f225(x80071),x80072),f2(x80071)))+P107(f316(f316(f225(x80071),f2(x80071)),x80072))
% 163.96/163.66 [8030]~P128(x80301)+~P107(f316(f316(f224(x80301),f316(f316(f75(x80301),x80302),x80303)),f2(x80301)))+P107(f316(f316(f224(x80301),f2(x80301)),x80302))+P107(f316(f316(f224(x80301),f2(x80301)),x80303))
% 163.96/163.66 [8031]~P67(x80311)+~P107(f316(f316(f224(x80311),f316(f316(f280(x80311),x80312),x80313)),f2(x80311)))+P107(f316(f316(f224(x80311),f2(x80311)),x80312))+P107(f316(f316(f224(x80311),f2(x80311)),x80313))
% 163.96/163.66 [8032]~P67(x80321)+~P107(f316(f316(f225(x80321),f316(f316(f280(x80321),x80322),x80323)),f2(x80321)))+P107(f316(f316(f225(x80321),f2(x80321)),x80322))+P107(f316(f316(f225(x80321),f2(x80321)),x80323))
% 163.96/163.66 [8054]P149(x80542,x80541,x80543)+E(x80541,f2(a1))+P107(f316(f316(f224(a1),f842(x80543,x80541,x80542)),f2(a1)))+P107(f316(f316(f225(a1),f839(x80543,x80541,x80542)),x80541))
% 163.96/163.66 [8055]P148(x80552,x80551,x80553)+E(x80551,f2(a1))+P107(f316(f316(f224(a1),f844(x80553,x80551,x80552)),f2(a1)))+P107(f316(f316(f225(a1),f845(x80553,x80551,x80552)),x80551))
% 163.96/163.66 [8062]~P126(x80621)+~P107(f316(f316(f225(x80621),x80622),f72(x80621)))+P107(f316(f316(f225(x80621),f316(f316(f233(x80621),x80622),f316(a102,x80623))),f72(x80621)))+~P107(f316(f316(f225(x80621),f2(x80621)),x80622))
% 163.96/163.66 [8116]~P108(x81161)+~E(x81163,f103(x81161))+~P10(x81161,f316(f158(x81161),x81163))+E(f316(f132(x81161,x81161,f316(f7(x81161,x81161,x81161),f223(x81161)),x81162),f316(f158(x81161),x81163)),x81162)
% 163.96/163.66 [8119]P148(x81191,x81192,x81193)+~P107(f316(x81191,x81193))+P107(f316(f316(f224(a1),f844(x81193,x81192,x81191)),f2(a1)))+P107(f316(f316(f225(a1),f845(x81193,x81192,x81191)),x81192))
% 163.96/163.66 [8126]P149(x81261,x81262,x81263)+~P107(f316(x81261,f2(a1)))+P107(f316(f316(f224(a1),f842(x81263,x81262,x81261)),f2(a1)))+P107(f316(f316(f225(a1),f839(x81263,x81262,x81261)),x81262))
% 163.96/163.66 [8343]P149(x83433,x83431,x83432)+E(x83431,f2(a1))+E(f316(f316(f74(a1),f316(f316(f75(a1),x83431),f843(x83432,x83431,x83433))),f842(x83432,x83431,x83433)),x83432)+P107(f316(f316(f225(a1),f839(x83432,x83431,x83433)),x83431))
% 163.96/163.66 [8344]P148(x83443,x83441,x83442)+E(x83441,f2(a1))+E(f316(f316(f74(a1),f316(f316(f75(a1),x83441),f847(x83442,x83441,x83443))),f844(x83442,x83441,x83443)),x83442)+P107(f316(f316(f225(a1),f845(x83442,x83441,x83443)),x83441))
% 163.96/163.66 [8380]P148(x83803,x83801,x83802)+~P107(f316(x83803,x83802))+E(f316(f316(f74(a1),f316(f316(f75(a1),x83801),f847(x83802,x83801,x83803))),f844(x83802,x83801,x83803)),x83802)+P107(f316(f316(f225(a1),f845(x83802,x83801,x83803)),x83801))
% 163.96/163.66 [8381]~P72(x83811)+~P76(x83811)+~P39(x83813)+E(f316(f316(f9(a898,x83811),f316(f316(f8(a1,x83811,a898),x83812),f90(a1))),f316(f299(a1,a898,a94),x83813)),f316(f316(f9(a1,x83811),x83812),x83813))
% 163.96/163.66 [8382]~P72(x83821)+~P76(x83821)+~P39(x83823)+E(f316(f316(f6(a898,x83821),f316(f316(f8(a1,x83821,a898),x83822),f90(a1))),f316(f299(a1,a898,a94),x83823)),f316(f316(f6(a1,x83821),x83822),x83823))
% 163.96/163.66 [8391]P149(x83913,x83911,x83912)+E(f316(f316(f74(a1),f316(f316(f75(a1),x83911),f843(x83912,x83911,x83913))),f842(x83912,x83911,x83913)),x83912)+~P107(f316(x83913,f2(a1)))+P107(f316(f316(f225(a1),f839(x83912,x83911,x83913)),x83911))
% 163.96/163.66 [8413]~E(x84132,f2(a898))+~E(f316(f240(a898,a898),x84133),f2(a898))+~E(x84131,f316(f316(f74(a898),f316(f316(f75(a898),f316(f240(a898,a898),x84133)),x84132)),f316(f245(a898,a898),x84133)))+P107(f316(f41(x84131,x84132),x84133))
% 163.96/163.66 [8470]P107(f316(x84701,x84702))+~P107(f316(f316(f318(x84703),f757(x84701,x84702,x84703)),f751(x84701,x84702,x84703)))+~P107(f316(f54(x84703),x84702))+~P107(f316(x84701,f178(f905(x84703,a895))))
% 163.96/163.66 [9101]P107(f316(x91011,x91012))+~P107(f316(f54(x91013),x91012))+~P107(f316(x91011,f316(f316(f298(x91013),f757(x91011,x91012,x91013)),f751(x91011,x91012,x91013))))+~P107(f316(x91011,f178(f905(x91013,a895))))
% 163.96/163.66 [9332]P107(f316(f316(f224(a1),x93321),f2(a1)))+~P107(f316(f316(f225(a1),f316(f316(f74(a1),f316(f316(f75(a1),x93323),x93321)),x93322)),f2(a1)))+~P107(f316(f316(f224(a1),f2(a1)),x93322))+~P107(f316(f316(f225(a1),f2(a1)),x93323))
% 163.96/163.66 [5889]~P84(x58892)+E(x58891,f178(f905(x58892,a895)))+~P107(f316(f54(x58892),x58891))+E(f10(x58892,f316(f316(f298(x58892),x58893),x58891)),f316(f316(f91(x58892),x58893),f10(x58892,x58891)))
% 163.96/163.66 [5890]~P84(x58902)+E(x58901,f178(f905(x58902,a895)))+~P107(f316(f54(x58902),x58901))+E(f13(x58902,f316(f316(f298(x58902),x58903),x58901)),f316(f316(f100(x58902),x58903),f13(x58902,x58901)))
% 163.96/163.66 [5891]~P108(x58912)+E(x58911,f178(f905(x58912,a895)))+~P107(f316(f54(x58912),x58911))+E(f14(x58912,f316(f316(f298(x58912),x58913),x58911)),f316(f316(f222(x58912),x58913),f14(x58912,x58911)))
% 163.96/163.66 [5892]~P108(x58922)+E(x58921,f178(f905(x58922,a895)))+~P107(f316(f54(x58922),x58921))+E(f15(x58922,f316(f316(f298(x58922),x58923),x58921)),f316(f316(f223(x58922),x58923),f15(x58922,x58921)))
% 163.96/163.66 [6223]~P128(x62231)+~E(x62233,f2(x62231))+~E(x62232,f2(x62231))+E(f316(f316(f74(x62231),f316(f316(f75(x62231),x62232),x62232)),f316(f316(f75(x62231),x62233),x62233)),f2(x62231))
% 163.96/163.66 [6295]~P99(x62952)+E(x62951,f178(f905(x62952,a895)))+~P107(f316(f54(x62952),x62951))+E(f316(f56(x62952,f75(x62952)),f316(f316(f298(x62952),x62953),x62951)),f316(f316(f75(x62952),x62953),f316(f56(x62952,f75(x62952)),x62951)))
% 163.96/163.66 [6424]~P108(x64242)+E(x64241,f178(f905(x64242,a895)))+~P107(f316(f54(x64242),x64241))+E(f11(x64242,f222(x64242),f316(f316(f298(x64242),x64243),x64241)),f316(f316(f222(x64242),x64243),f11(x64242,f222(x64242),x64241)))
% 163.96/163.66 [6425]~P108(x64252)+E(x64251,f178(f905(x64252,a895)))+~P107(f316(f54(x64252),x64251))+E(f12(x64252,f223(x64252),f316(f316(f298(x64252),x64253),x64251)),f316(f316(f223(x64252),x64253),f12(x64252,f223(x64252),x64251)))
% 163.96/163.66 [6945]~P69(x69451)+~P107(f316(f54(x69451),x69453))+E(f316(f56(x69451,f75(x69451)),f316(f316(f298(x69451),x69452),x69453)),f316(f316(f57(x69451,x69451,f75(x69451)),x69452),x69453))+P107(f316(f316(f318(x69451),x69452),x69453))
% 163.96/163.66 [7025]~E(f316(f316(f74(a1),x70252),f316(f316(f75(a1),x70253),x70251)),x70253)+~P107(f316(f316(f225(a1),f2(a1)),x70253))+P107(f316(f316(f224(a1),f72(a1)),x70251))+~P107(f316(f316(f225(a1),x70252),x70253))
% 163.96/163.66 [7053]~E(f316(f316(f74(a1),x70532),f316(f316(f75(a1),x70533),x70531)),x70533)+P107(f316(f316(f224(a1),x70531),f72(a1)))+~P107(f316(f316(f224(a1),f2(a1)),x70532))+~P107(f316(f316(f225(a1),f2(a1)),x70533))
% 163.96/163.66 [7071]E(x70711,f2(a898))+~P107(f316(f41(x70713,x70711),x70712))+~P107(f316(f316(f225(a898),f2(a898)),x70711))+P107(f316(f316(f225(a898),f316(f245(a898,a898),x70712)),x70711))
% 163.96/163.66 [7103]~P139(x71031)+~P107(f316(f316(f224(x71031),x71032),f2(x71031)))+~P107(f316(f316(f224(x71031),x71033),f2(x71031)))+E(f316(f316(f75(x71031),f316(f69(x71031),x71032)),f316(f69(x71031),x71033)),f316(f69(x71031),f316(f316(f75(x71031),x71032),x71033)))
% 163.96/163.66 [7151]~P139(x71511)+~P107(f316(f316(f224(x71511),x71512),f2(x71511)))+E(f316(f316(f75(x71511),f316(f69(x71511),x71512)),f316(f69(x71511),x71513)),f316(f69(x71511),f316(f316(f75(x71511),x71512),x71513)))+~P107(f316(f316(f224(x71511),f2(x71511)),x71513))
% 163.96/163.66 [7152]~P139(x71521)+~P107(f316(f316(f224(x71521),x71523),f2(x71521)))+E(f316(f316(f75(x71521),f316(f69(x71521),x71522)),f316(f69(x71521),x71523)),f316(f69(x71521),f316(f316(f75(x71521),x71522),x71523)))+~P107(f316(f316(f224(x71521),f2(x71521)),x71522))
% 163.96/163.66 [7208]~P139(x72081)+E(f316(f316(f75(x72081),f316(f69(x72081),x72082)),f316(f69(x72081),x72083)),f316(f69(x72081),f316(f316(f75(x72081),x72082),x72083)))+~P107(f316(f316(f224(x72081),f2(x72081)),x72082))+~P107(f316(f316(f224(x72081),f2(x72081)),x72083))
% 163.96/163.66 [7225]~P129(x72251)+~P107(f316(f316(f224(x72251),x72253),f2(x72251)))+~P107(f316(f316(f224(x72251),x72252),f2(x72251)))+P107(f316(f316(f224(x72251),f2(x72251)),f316(f316(f75(x72251),x72252),x72253)))
% 163.96/163.66 [7226]~P128(x72261)+~P107(f316(f316(f224(x72261),x72263),f2(x72261)))+~P107(f316(f316(f224(x72261),x72262),f2(x72261)))+P107(f316(f316(f224(x72261),f2(x72261)),f316(f316(f75(x72261),x72262),x72263)))
% 163.96/163.66 [7227]~P67(x72271)+~P107(f316(f316(f224(x72271),x72273),f2(x72271)))+~P107(f316(f316(f224(x72271),x72272),f2(x72271)))+P107(f316(f316(f224(x72271),f2(x72271)),f316(f316(f280(x72271),x72272),x72273)))
% 163.96/163.66 [7228]~P68(x72281)+~P107(f316(f316(f225(x72281),x72283),f2(x72281)))+~P107(f316(f316(f224(x72281),x72282),f2(x72281)))+P107(f316(f316(f224(x72281),f2(x72281)),f316(f316(f280(x72281),x72282),x72283)))
% 163.96/163.66 [7229]~P128(x72291)+~P107(f316(f316(f225(x72291),x72293),f2(x72291)))+~P107(f316(f316(f225(x72291),x72292),f2(x72291)))+P107(f316(f316(f225(x72291),f2(x72291)),f316(f316(f75(x72291),x72292),x72293)))
% 163.96/163.66 [7230]~P67(x72301)+~P107(f316(f316(f225(x72301),x72303),f2(x72301)))+~P107(f316(f316(f225(x72301),x72302),f2(x72301)))+P107(f316(f316(f225(x72301),f2(x72301)),f316(f316(f280(x72301),x72302),x72303)))
% 163.96/163.66 [7231]~P68(x72311)+~P107(f316(f316(f225(x72311),x72313),f2(x72311)))+~P107(f316(f316(f225(x72311),x72312),f2(x72311)))+P107(f316(f316(f225(x72311),f2(x72311)),f316(f316(f280(x72311),x72312),x72313)))
% 163.96/163.66 [7232]~P126(x72321)+~P107(f316(f316(f225(a898),f2(a898)),x72323))+~P107(f316(f316(f225(x72321),f72(x72321)),x72322))+P107(f316(f316(f225(x72321),f72(x72321)),f316(f316(f233(x72321),x72322),x72323)))
% 163.96/163.66 [7331]~P129(x73311)+~P107(f316(f316(f224(x73311),f2(x73311)),x73313))+~P107(f316(f316(f224(x73311),f2(x73311)),x73312))+P107(f316(f316(f224(x73311),f2(x73311)),f316(f316(f75(x73311),x73312),x73313)))
% 163.96/163.66 [7332]~P128(x73321)+~P107(f316(f316(f224(x73321),f2(x73321)),x73323))+~P107(f316(f316(f224(x73321),f2(x73321)),x73322))+P107(f316(f316(f224(x73321),f2(x73321)),f316(f316(f75(x73321),x73322),x73323)))
% 163.96/163.66 [7333]~P136(x73331)+~P107(f316(f316(f224(x73331),f2(x73331)),x73333))+~P107(f316(f316(f224(x73331),f2(x73331)),x73332))+P107(f316(f316(f224(x73331),f2(x73331)),f316(f316(f75(x73331),x73332),x73333)))
% 163.96/163.66 [7335]~P67(x73351)+~P107(f316(f316(f224(x73351),f2(x73351)),x73353))+~P107(f316(f316(f224(x73351),f2(x73351)),x73352))+P107(f316(f316(f224(x73351),f2(x73351)),f316(f316(f280(x73351),x73352),x73353)))
% 163.96/163.66 [7336]~P68(x73361)+~P107(f316(f316(f225(x73361),f2(x73361)),x73363))+~P107(f316(f316(f224(x73361),f2(x73361)),x73362))+P107(f316(f316(f224(x73361),f2(x73361)),f316(f316(f280(x73361),x73362),x73363)))
% 163.96/163.66 [7337]~P126(x73371)+~P107(f316(f316(f225(x73371),f72(x73371)),x73373))+~P107(f316(f316(f225(x73371),f72(x73371)),x73372))+P107(f316(f316(f225(x73371),f72(x73371)),f316(f316(f75(x73371),x73372),x73373)))
% 163.96/163.66 [7338]~P132(x73381)+~P107(f316(f316(f225(x73381),f2(x73381)),x73383))+~P107(f316(f316(f225(x73381),f2(x73381)),x73382))+P107(f316(f316(f225(x73381),f2(x73381)),f316(f316(f75(x73381),x73382),x73383)))
% 163.96/163.66 [7341]~P91(x73411)+~P107(f316(f316(f225(x73411),f2(x73411)),x73413))+~P107(f316(f316(f225(x73411),f2(x73411)),x73412))+P107(f316(f316(f225(x73411),f2(x73411)),f316(f316(f74(x73411),x73412),x73413)))
% 163.96/163.66 [7342]~P67(x73421)+~P107(f316(f316(f225(x73421),f2(x73421)),x73423))+~P107(f316(f316(f225(x73421),f2(x73421)),x73422))+P107(f316(f316(f225(x73421),f2(x73421)),f316(f316(f280(x73421),x73422),x73423)))
% 163.96/163.66 [7343]~P68(x73431)+~P107(f316(f316(f225(x73431),f2(x73431)),x73433))+~P107(f316(f316(f225(x73431),f2(x73431)),x73432))+P107(f316(f316(f225(x73431),f2(x73431)),f316(f316(f280(x73431),x73432),x73433)))
% 163.96/163.66 [7421]~P84(x74211)+~P107(f316(f54(x74211),x74213))+E(f10(x74211,f316(f316(f298(x74211),x74212),x74213)),x74212)+~E(f316(f316(f23(f905(x74211,a895)),x74213),f316(f316(f298(x74211),x74212),f178(f905(x74211,a895)))),f178(f905(x74211,a895)))
% 163.96/163.66 [7422]~P84(x74221)+~P107(f316(f54(x74221),x74223))+E(f13(x74221,f316(f316(f298(x74221),x74222),x74223)),x74222)+~E(f316(f316(f23(f905(x74221,a895)),x74223),f316(f316(f298(x74221),x74222),f178(f905(x74221,a895)))),f178(f905(x74221,a895)))
% 163.96/163.66 [7423]~P108(x74231)+~P107(f316(f54(x74231),x74233))+E(f14(x74231,f316(f316(f298(x74231),x74232),x74233)),x74232)+~E(f316(f316(f23(f905(x74231,a895)),x74233),f316(f316(f298(x74231),x74232),f178(f905(x74231,a895)))),f178(f905(x74231,a895)))
% 163.96/163.66 [7424]~P108(x74241)+~P107(f316(f54(x74241),x74243))+E(f15(x74241,f316(f316(f298(x74241),x74242),x74243)),x74242)+~E(f316(f316(f23(f905(x74241,a895)),x74243),f316(f316(f298(x74241),x74242),f178(f905(x74241,a895)))),f178(f905(x74241,a895)))
% 163.96/163.66 [7426]~P128(x74261)+P107(f316(f316(f224(x74261),x74262),f2(x74261)))+P107(f316(f316(f224(x74261),f2(x74261)),x74263))+~P107(f316(f316(f224(x74261),f2(x74261)),f316(f316(f75(x74261),x74263),x74262)))
% 163.96/163.66 [7427]~P128(x74271)+P107(f316(f316(f224(x74271),x74272),f2(x74271)))+P107(f316(f316(f224(x74271),f2(x74271)),x74273))+~P107(f316(f316(f224(x74271),f2(x74271)),f316(f316(f75(x74271),x74272),x74273)))
% 163.96/163.66 [7428]~P67(x74281)+P107(f316(f316(f224(x74281),x74282),f2(x74281)))+P107(f316(f316(f224(x74281),f2(x74281)),x74283))+~P107(f316(f316(f224(x74281),f2(x74281)),f316(f316(f280(x74281),x74283),x74282)))
% 163.96/163.66 [7429]~P67(x74291)+P107(f316(f316(f224(x74291),x74292),f2(x74291)))+P107(f316(f316(f224(x74291),f2(x74291)),x74293))+~P107(f316(f316(f224(x74291),f2(x74291)),f316(f316(f280(x74291),x74292),x74293)))
% 163.96/163.66 [7430]~P128(x74301)+P107(f316(f316(f224(x74301),x74302),f2(x74301)))+P107(f316(f316(f224(x74301),f2(x74301)),x74302))+~P107(f316(f316(f224(x74301),f2(x74301)),f316(f316(f75(x74301),x74303),x74302)))
% 163.96/163.66 [7431]~P128(x74311)+P107(f316(f316(f224(x74311),x74312),f2(x74311)))+P107(f316(f316(f224(x74311),f2(x74311)),x74312))+~P107(f316(f316(f224(x74311),f2(x74311)),f316(f316(f75(x74311),x74312),x74313)))
% 163.96/163.66 [7432]~P67(x74321)+P107(f316(f316(f224(x74321),x74322),f2(x74321)))+P107(f316(f316(f224(x74321),f2(x74321)),x74322))+~P107(f316(f316(f224(x74321),f2(x74321)),f316(f316(f280(x74321),x74323),x74322)))
% 163.96/163.66 [7433]~P67(x74331)+P107(f316(f316(f224(x74331),x74332),f2(x74331)))+P107(f316(f316(f224(x74331),f2(x74331)),x74332))+~P107(f316(f316(f224(x74331),f2(x74331)),f316(f316(f280(x74331),x74332),x74333)))
% 163.96/163.66 [7434]~P67(x74341)+P107(f316(f316(f225(x74341),x74342),f2(x74341)))+P107(f316(f316(f225(x74341),f2(x74341)),x74343))+~P107(f316(f316(f225(x74341),f2(x74341)),f316(f316(f280(x74341),x74343),x74342)))
% 163.96/163.66 [7435]~P67(x74351)+P107(f316(f316(f225(x74351),x74352),f2(x74351)))+P107(f316(f316(f225(x74351),f2(x74351)),x74353))+~P107(f316(f316(f225(x74351),f2(x74351)),f316(f316(f280(x74351),x74352),x74353)))
% 163.96/163.66 [7436]~P67(x74361)+P107(f316(f316(f225(x74361),x74362),f2(x74361)))+P107(f316(f316(f225(x74361),f2(x74361)),x74362))+~P107(f316(f316(f225(x74361),f2(x74361)),f316(f316(f280(x74361),x74363),x74362)))
% 163.96/163.66 [7437]~P67(x74371)+P107(f316(f316(f225(x74371),x74372),f2(x74371)))+P107(f316(f316(f225(x74371),f2(x74371)),x74372))+~P107(f316(f316(f225(x74371),f2(x74371)),f316(f316(f280(x74371),x74372),x74373)))
% 163.96/163.66 [7510]~P107(f316(f316(f276(a898),x75101),x75103))+P107(f316(f316(f276(a898),x75101),x75102))+~P107(f316(f316(f224(a898),x75102),x75103))+~P107(f316(f316(f276(a898),x75101),f316(f316(f23(a898),x75103),x75102)))
% 163.96/163.66 [7511]~P107(f316(f316(f276(a898),x75111),x75113))+P107(f316(f316(f276(a898),x75111),x75112))+~P107(f316(f316(f224(a898),x75113),x75112))+~P107(f316(f316(f276(a898),x75111),f316(f316(f23(a898),x75112),x75113)))
% 163.96/163.66 [7526]~E(f316(f316(f91(f905(x75261,a895)),f316(f162(x75261),x75262)),f316(f162(x75261),x75263)),f178(f905(x75261,a895)))+~P107(f316(f127(x75261),x75263))+~P107(f316(f127(x75261),x75262))+P107(f316(f127(x75261),f316(f316(f124(x75261),x75262),x75263)))
% 163.96/163.66 [7527]~P108(x75271)+~P107(f316(f54(x75271),x75273))+E(f11(x75271,f222(x75271),f316(f316(f298(x75271),x75272),x75273)),x75272)+~E(f316(f316(f23(f905(x75271,a895)),x75273),f316(f316(f298(x75271),x75272),f178(f905(x75271,a895)))),f178(f905(x75271,a895)))
% 163.96/163.66 [7528]~P108(x75281)+~P107(f316(f54(x75281),x75283))+E(f12(x75281,f223(x75281),f316(f316(f298(x75281),x75282),x75283)),x75282)+~E(f316(f316(f23(f905(x75281,a895)),x75283),f316(f316(f298(x75281),x75282),f178(f905(x75281,a895)))),f178(f905(x75281,a895)))
% 163.96/163.66 [7541]~P89(x75411)+~P107(f316(f316(f224(x75411),x75412),x75413))+~P107(f316(f316(f224(x75411),f316(f73(x75411),x75412)),x75413))+P107(f316(f316(f224(x75411),f316(f69(x75411),x75412)),x75413))
% 163.96/163.66 [7542]~P123(x75421)+~P107(f316(f316(f225(x75421),x75422),x75423))+~P107(f316(f316(f225(x75421),f316(f73(x75421),x75422)),x75423))+P107(f316(f316(f225(x75421),f316(f69(x75421),x75422)),x75423))
% 163.96/163.66 [7609]~P132(x76091)+P107(f316(f316(f225(x76091),f2(x76091)),x76092))+~P107(f316(f316(f225(x76091),f2(x76091)),x76093))+~P107(f316(f316(f225(x76091),f2(x76091)),f316(f316(f75(x76091),x76093),x76092)))
% 163.96/163.66 [7610]~P132(x76101)+P107(f316(f316(f225(x76101),f2(x76101)),x76102))+~P107(f316(f316(f225(x76101),f2(x76101)),x76103))+~P107(f316(f316(f225(x76101),f2(x76101)),f316(f316(f75(x76101),x76102),x76103)))
% 163.96/163.66 [7911]E(x79111,x79112)+~P107(f316(f54(x79113),x79111))+~P107(f316(f316(f224(a898),f316(f28(x79113),x79111)),f316(f28(x79113),x79112)))+~P107(f316(f316(f224(f905(x79113,a895)),x79112),x79111))
% 163.96/163.66 [8059]~P107(f316(f316(f225(a1),x80591),f2(a1)))+~P107(f316(f316(f225(a1),f2(a1)),x80592))+~P107(f316(f316(f224(a1),x80592),x80593))+P107(f316(f316(f224(a1),f316(f316(f29(a1),x80591),x80592)),f316(f316(f29(a1),x80591),x80593)))
% 163.96/163.66 [8069]~P107(f316(f316(f224(a1),f2(a1)),x80691))+~P107(f316(f316(f225(a1),f2(a1)),x80693))+~P107(f316(f316(f224(a1),x80693),x80692))+P107(f316(f316(f224(a1),f316(f316(f29(a1),x80691),x80692)),f316(f316(f29(a1),x80691),x80693)))
% 163.96/163.66 [8204]E(f316(x82041,f557(x82042,x82041,x82043)),x82042)+~P107(f316(f316(f224(a1),x82042),f316(x82041,x82043)))+P107(f316(f316(f225(a898),f558(x82042,x82041,x82043)),x82043))+~P107(f316(f316(f224(a1),f316(x82041,f2(a898))),x82042))
% 163.96/163.66 [8205]E(f316(x82051,f560(x82052,x82051,x82053)),x82052)+~P107(f316(f316(f224(a1),x82052),f316(x82051,x82053)))+P107(f316(f316(f225(a898),f561(x82052,x82051,x82053)),x82053))+~P107(f316(f316(f224(a1),f316(x82051,f2(a898))),x82052))
% 163.96/163.66 [8306]~P107(f316(f54(x83061),x83063))+~P107(f316(f316(f225(a898),f316(f28(x83061),x83062)),f316(f28(x83061),x83063)))+~P107(f316(f316(f224(f905(x83061,a895)),x83062),x83063))+P107(f316(f316(f225(f905(x83061,a895)),x83062),x83063))
% 163.96/163.66 [8333]E(f316(f316(f74(a1),f481(x83333,x83331,x83332)),f482(x83333,x83331,x83332)),x83331)+E(f316(f316(f23(a1),x83331),x83332),x83331)+~P107(f316(f316(f225(a1),f2(a1)),x83332))+~P107(f316(f316(f318(a1),f316(f316(f23(a1),x83331),f72(a1))),x83333))
% 163.96/163.66 [8334]E(f316(f316(f23(a1),f495(x83343,x83341,x83342)),f496(x83343,x83341,x83342)),x83341)+E(f316(f316(f74(a1),x83341),x83342),x83341)+~P107(f316(f316(f225(a1),f2(a1)),x83342))+~P107(f316(f316(f318(a1),f316(f316(f74(a1),x83341),f72(a1))),x83343))
% 163.96/163.66 [8386]~P107(f316(f316(f224(a898),x83863),x83861))+P107(f316(f316(f224(a898),x83861),x83862))+~P107(f316(f316(f224(a898),x83863),x83862))+~P107(f316(f316(f224(a898),f316(f316(f23(a898),x83861),x83863)),f316(f316(f23(a898),x83862),x83863)))
% 163.96/163.66 [8387]~P107(f316(f316(f224(a898),x83873),x83871))+P107(f316(f316(f225(a898),x83871),x83872))+~P107(f316(f316(f224(a898),x83873),x83872))+~P107(f316(f316(f225(a898),f316(f316(f23(a898),x83871),x83873)),f316(f316(f23(a898),x83872),x83873)))
% 163.96/163.66 [8406]~P108(x84062)+E(x84061,f103(x84062))+~P10(x84062,f316(f158(x84062),x84061))+E(f316(f132(x84062,x84062,f316(f7(x84062,x84062,x84062),f223(x84062)),x84063),f316(f158(x84062),x84061)),f316(f316(f223(x84062),f316(f316(f154(x84062),x84061),f2(a898))),x84063))
% 163.96/163.66 [8475]E(f316(f316(f23(a1),x84751),x84752),x84751)+~P107(f316(f316(f225(a1),f2(a1)),x84752))+P107(f316(f316(f318(a1),f481(x84753,x84751,x84752)),x84753))+~P107(f316(f316(f318(a1),f316(f316(f23(a1),x84751),f72(a1))),x84753))
% 163.96/163.66 [8476]E(f316(f316(f74(a1),x84761),x84762),x84761)+~P107(f316(f316(f225(a1),f2(a1)),x84762))+P107(f316(f316(f318(a1),f495(x84763,x84761,x84762)),x84763))+~P107(f316(f316(f318(a1),f316(f316(f74(a1),x84761),f72(a1))),x84763))
% 163.96/163.66 [8547]~P107(f316(f316(f224(a1),x85471),f316(x85472,x85473)))+P107(f316(f316(f225(a898),f558(x85471,x85472,x85473)),x85473))+P107(f316(f316(f224(a898),f557(x85471,x85472,x85473)),x85473))+~P107(f316(f316(f224(a1),f316(x85472,f2(a898))),x85471))
% 163.96/163.66 [8548]~P107(f316(f316(f224(a1),x85481),f316(x85482,x85483)))+P107(f316(f316(f225(a898),f561(x85481,x85482,x85483)),x85483))+P107(f316(f316(f224(a898),f560(x85481,x85482,x85483)),x85483))+~P107(f316(f316(f224(a1),f316(x85482,f2(a898))),x85481))
% 163.96/163.66 [8620]E(f316(f316(f23(a1),x86201),x86202),x86201)+~P107(f316(f316(f225(a1),f2(a1)),x86202))+P107(f316(f316(f318(a1),f482(x86203,x86201,x86202)),f292(a1,f72(a1),x86202)))+~P107(f316(f316(f318(a1),f316(f316(f23(a1),x86201),f72(a1))),x86203))
% 163.96/163.66 [8621]E(f316(f316(f74(a1),x86211),x86212),x86211)+~P107(f316(f316(f225(a1),f2(a1)),x86212))+P107(f316(f316(f318(a1),f496(x86213,x86211,x86212)),f292(a1,f72(a1),x86212)))+~P107(f316(f316(f318(a1),f316(f316(f74(a1),x86211),f72(a1))),x86213))
% 163.96/163.66 [8757]~P126(x87571)+~P107(f316(f316(f225(x87571),x87572),f72(x87571)))+~P107(f316(f316(f225(x87571),f2(x87571)),x87572))+P107(f316(f316(f225(x87571),f316(f316(f75(x87571),x87572),f316(f316(f233(x87571),x87572),x87573))),f316(f316(f233(x87571),x87572),x87573)))
% 163.96/163.66 [8851]~P107(f316(x88511,x88512))+P107(f316(x88511,f2(a898)))+~P107(f316(f316(f225(a898),x88512),x88513))+~P107(f316(x88511,f38(a898,f316(a102,f595(x88512,x88511,x88513)),x88513)))
% 163.96/163.66 [9003]E(f551(x90031,x90032,x90033),f2(a898))+P107(f316(f316(x90031,x90033),x90032))+P107(f316(f316(x90031,f551(x90031,x90032,x90033)),f38(a898,f549(x90031,x90032,x90033),f551(x90031,x90032,x90033))))+~P107(f316(f304(f904(a898,a898),a209),f316(f316(f241(a898,a898),x90033),x90032)))
% 163.96/163.66 [9041]~P22(x90411,x90411,x90412,x90413)+E(f316(f299(x90411,x90411,x90412),x90413),x90413)+~P107(f316(f54(x90411),x90413))+~P107(f316(f316(f224(f905(x90411,a895)),f316(f299(x90411,x90411,x90412),x90413)),x90413))
% 163.96/163.66 [9258]P107(f316(f316(x92581,x92582),x92583))+P107(f316(f316(f225(a1),f766(x92581,x92583,x92582)),f767(x92581,x92583,x92582)))+P107(f316(f316(x92581,f766(x92581,x92583,x92582)),f316(f316(f74(a1),f767(x92581,x92583,x92582)),f72(a1))))+~P107(f316(f304(f904(a1,a1),a123),f316(f316(f241(a1,a1),x92582),x92583)))
% 163.96/163.66 [9275]P107(f316(f316(x92751,x92752),x92753))+~P107(f316(f316(f225(a1),f450(x92751,x92753,x92752)),f2(a1)))+P107(f316(f316(x92751,f316(f73(a1),f449(x92751,x92753,x92752))),f316(f73(a1),f450(x92751,x92753,x92752))))+~P107(f316(f304(f904(a1,a1),a211),f316(f316(f241(a1,a1),x92752),x92753)))
% 163.96/163.66 [9464]P107(f316(f316(x94641,x94642),x94643))+P107(f316(f316(x94641,f316(f316(f74(a1),f670(x94641,x94643,x94642)),f72(a1))),f672(x94641,x94643,x94642)))+~P107(f316(f316(f224(a1),f670(x94641,x94643,x94642)),f672(x94641,x94643,x94642)))+~P107(f316(f304(f904(a1,a1),a172),f316(f316(f241(a1,a1),x94642),x94643)))
% 163.96/163.66 [9907]~P64(x99072)+~P64(x99071)+~P107(f316(f49(f904(x99071,x99072)),x99073))+P107(f316(f49(x99071),f316(f316(f8(f905(x99072,a895),a895,x99071),f49(x99072)),f316(f316(f8(f905(x99072,f904(x99071,x99072)),f905(x99072,a895),x99071),f316(f8(f904(x99071,x99072),a895,x99072),x99073)),f241(x99071,x99072)))))
% 163.96/163.66 [9908]~P64(x99082)+~P64(x99081)+~P107(f316(f50(f904(x99081,x99082)),x99083))+P107(f316(f50(x99081),f316(f316(f8(f905(x99082,a895),a895,x99081),f50(x99082)),f316(f316(f8(f905(x99082,f904(x99081,x99082)),f905(x99082,a895),x99081),f316(f8(f904(x99081,x99082),a895,x99082),x99083)),f241(x99081,x99082)))))
% 163.96/163.66 [10003]~P64(x100032)+~P64(x100031)+P107(f316(f49(f904(x100031,x100032)),x100033))+~P107(f316(f49(x100031),f316(f316(f8(f905(x100032,a895),a895,x100031),f49(x100032)),f316(f316(f8(f905(x100032,f904(x100031,x100032)),f905(x100032,a895),x100031),f316(f8(f904(x100031,x100032),a895,x100032),x100033)),f241(x100031,x100032)))))
% 163.96/163.66 [10004]~P64(x100042)+~P64(x100041)+P107(f316(f50(f904(x100041,x100042)),x100043))+~P107(f316(f50(x100041),f316(f316(f8(f905(x100042,a895),a895,x100041),f50(x100042)),f316(f316(f8(f905(x100042,f904(x100041,x100042)),f905(x100042,a895),x100041),f316(f8(f904(x100041,x100042),a895,x100042),x100043)),f241(x100041,x100042)))))
% 163.96/163.66 [10179]E(f316(x101791,f557(x101792,x101791,x101793)),x101792)+~P107(f316(f316(f224(a1),x101792),f316(x101791,x101793)))+~P107(f316(f316(f224(a1),f316(f69(a1),f316(f316(f23(a1),f316(x101791,f316(f316(f74(a898),f558(x101792,x101791,x101793)),f72(a898)))),f316(x101791,f558(x101792,x101791,x101793))))),f72(a1)))+~P107(f316(f316(f224(a1),f316(x101791,f2(a898))),x101792))
% 163.96/163.66 [10180]E(f316(x101801,f560(x101802,x101801,x101803)),x101802)+~P107(f316(f316(f224(a1),x101802),f316(x101801,x101803)))+~P107(f316(f316(f224(a1),f316(f69(a1),f316(f316(f23(a1),f316(x101801,f316(f316(f74(a898),f561(x101802,x101801,x101803)),f72(a898)))),f316(x101801,f561(x101802,x101801,x101803))))),f72(a1)))+~P107(f316(f316(f224(a1),f316(x101801,f2(a898))),x101802))
% 163.96/163.66 [10183]~P107(f316(f316(f224(a1),x101831),f316(x101832,x101833)))+~P107(f316(f316(f224(a1),f316(f69(a1),f316(f316(f23(a1),f316(x101832,f316(f316(f74(a898),f558(x101831,x101832,x101833)),f72(a898)))),f316(x101832,f558(x101831,x101832,x101833))))),f72(a1)))+P107(f316(f316(f224(a898),f557(x101831,x101832,x101833)),x101833))+~P107(f316(f316(f224(a1),f316(x101832,f2(a898))),x101831))
% 163.96/163.66 [10184]~P107(f316(f316(f224(a1),x101841),f316(x101842,x101843)))+~P107(f316(f316(f224(a1),f316(f69(a1),f316(f316(f23(a1),f316(x101842,f316(f316(f74(a898),f561(x101841,x101842,x101843)),f72(a898)))),f316(x101842,f561(x101841,x101842,x101843))))),f72(a1)))+P107(f316(f316(f224(a898),f560(x101841,x101842,x101843)),x101843))+~P107(f316(f316(f224(a1),f316(x101842,f2(a898))),x101841))
% 163.96/163.66 [10241]E(x102411,x102412)+~E(f316(f132(f899(x102413),f899(x102413),f124(x102413),f103(x102413)),x102411),f316(f132(f899(x102413),f899(x102413),f124(x102413),f103(x102413)),x102412))+~E(f316(f179(f899(f899(x102413))),x102411),f316(f179(f899(f899(x102413))),x102412))+~P107(f316(f316(f246(f899(x102413),f899(x102413),a895),f316(f316(f7(f899(x102413),f905(f899(x102413),a898),f905(f899(x102413),a895)),f316(f316(f8(f905(a898,a895),f905(f905(f899(x102413),a898),f905(f899(x102413),a895)),f899(x102413)),f8(a898,a895,f899(x102413))),f316(f316(f8(a898,f905(a898,a895),f899(x102413)),a313),f179(f899(x102413))))),f179(f899(x102413)))),f695(x102411,x102412,x102413)))
% 163.96/163.66 [10242]E(x102421,x102422)+~E(f316(f132(f899(x102423),f899(x102423),f124(x102423),f103(x102423)),x102421),f316(f132(f899(x102423),f899(x102423),f124(x102423),f103(x102423)),x102422))+~E(f316(f179(f899(f899(x102423))),x102421),f316(f179(f899(f899(x102423))),x102422))+~P107(f316(f316(f246(f899(x102423),f899(x102423),a895),f316(f316(f7(f899(x102423),f905(f899(x102423),a898),f905(f899(x102423),a895)),f316(f316(f8(f905(a898,a895),f905(f905(f899(x102423),a898),f905(f899(x102423),a895)),f899(x102423)),f8(a898,a895,f899(x102423))),f316(f316(f8(a898,f905(a898,a895),f899(x102423)),a313),f179(f899(x102423))))),f179(f899(x102423)))),f696(x102422,x102421,x102423)))
% 163.96/163.66 [6933]~E(f72(a898),f2(a898))+~P107(f316(f54(x69331),x69333))+~P107(f316(f54(x69331),x69332))+E(f316(f316(f74(a898),f316(f28(x69331),x69332)),f316(f28(x69331),x69333)),f316(f28(x69331),f316(f316(f100(f905(x69331,a895)),x69332),x69333)))
% 163.96/163.66 [7350]~P103(x73501)+~P107(f316(f54(x73501),x73502))+~P107(f316(f316(f318(x73501),x73503),x73502))+P107(f316(f316(f224(x73501),f316(f56(x73501,f91(x73501)),x73502)),x73503))
% 163.96/163.66 [7351]~P108(x73511)+~P107(f316(f54(x73511),x73512))+~P107(f316(f316(f318(x73511),x73513),x73512))+P107(f316(f316(f224(x73511),f316(f56(x73511,f222(x73511)),x73512)),x73513))
% 163.96/163.66 [7603]~P107(f316(f54(x76031),x76033))+~P107(f316(f54(x76031),x76032))+~E(f316(f316(f91(f905(x76031,a895)),x76032),x76033),f178(f905(x76031,a895)))+E(f316(f316(f74(a898),f316(f28(x76031),x76032)),f316(f28(x76031),x76033)),f316(f28(x76031),f316(f316(f100(f905(x76031,a895)),x76032),x76033)))
% 163.96/163.66 [8392]~P36(x83921,x83923)+~P36(x83921,x83922)+~E(f316(f316(f91(f905(x83921,a895)),f316(f253(x83921,x83921),x83922)),f316(f273(x83921,x83921),x83923)),f178(f905(x83921,a895)))+P36(x83921,f316(f316(f100(f905(f904(x83921,x83921),a895)),x83922),x83923))
% 163.96/163.66 [8487]E(x84871,f316(f316(f29(a898),x84872),x84873))+~P107(f316(f316(f225(a898),f2(a898)),x84873))+~P107(f316(f316(f225(a898),x84872),f316(f316(f75(a898),x84873),f316(a102,x84871))))+~P107(f316(f316(f224(a898),f316(f316(f75(a898),x84873),x84871)),x84872))
% 163.96/163.66 [8618]~P107(f316(f54(x86181),x86182))+~P107(f316(f54(x86181),x86183))+E(f316(f316(f74(a898),f316(f28(x86181),x86182)),f316(f28(x86181),x86183)),f316(f28(x86181),f316(f316(f100(f905(x86181,a895)),x86182),x86183)))+P107(f316(f316(f318(x86181),f397(x86183,x86182,x86181)),f316(f316(f91(f905(x86181,a895)),x86182),x86183)))
% 163.96/163.66 [9015]~P128(x90152)+~E(x90151,f2(x90152))+~E(x90153,f2(x90152))+~P107(f316(f316(f225(x90152),f2(x90152)),f316(f316(f74(x90152),f316(f316(f75(x90152),x90153),x90153)),f316(f316(f75(x90152),x90151),x90151))))
% 163.96/163.66 [9543]~P36(x95431,x95433)+~P36(x95431,x95432)+P36(x95431,f316(f316(f100(f905(f904(x95431,x95431),a895)),x95432),x95433))+~P107(f316(f316(f224(f905(f904(x95431,x95431),a895)),f316(f316(f278(x95431,x95431,x95431),x95432),x95433)),x95432))
% 163.96/163.66 [9680]~P107(f316(x96801,x96803))+~P107(f316(f54(x96802),x96803))+P107(f316(x96801,f178(f905(x96802,a895))))+~P107(f316(x96801,f316(f316(f23(f905(x96802,a895)),f334(x96801,x96803,x96802)),f316(f316(f298(x96802),f343(x96801,x96803,x96802)),f178(f905(x96802,a895))))))
% 163.96/163.66 [8798]~P107(f316(f316(f225(a1),f2(a1)),x87983))+P107(f316(f316(f224(a1),f2(a1)),x87981))+~P107(f316(f316(f225(a1),x87982),x87983))+~P107(f316(f316(f224(a1),f2(a1)),f316(f316(f74(a1),f316(f316(f75(a1),x87983),x87981)),x87982)))
% 163.96/163.66 [8822]~P84(x88221)+~P107(f316(f54(x88221),x88222))+E(f316(f316(f23(f905(x88221,a895)),x88222),f316(f316(f298(x88221),x88223),f178(f905(x88221,a895)))),f178(f905(x88221,a895)))+E(f316(f316(f91(x88221),x88223),f10(x88221,f316(f316(f23(f905(x88221,a895)),x88222),f316(f316(f298(x88221),x88223),f178(f905(x88221,a895)))))),f10(x88221,f316(f316(f298(x88221),x88223),x88222)))
% 163.96/163.66 [8823]~P84(x88231)+~P107(f316(f54(x88231),x88232))+E(f316(f316(f23(f905(x88231,a895)),x88232),f316(f316(f298(x88231),x88233),f178(f905(x88231,a895)))),f178(f905(x88231,a895)))+E(f316(f316(f100(x88231),x88233),f13(x88231,f316(f316(f23(f905(x88231,a895)),x88232),f316(f316(f298(x88231),x88233),f178(f905(x88231,a895)))))),f13(x88231,f316(f316(f298(x88231),x88233),x88232)))
% 163.96/163.66 [8824]~P108(x88241)+~P107(f316(f54(x88241),x88242))+E(f316(f316(f23(f905(x88241,a895)),x88242),f316(f316(f298(x88241),x88243),f178(f905(x88241,a895)))),f178(f905(x88241,a895)))+E(f316(f316(f222(x88241),x88243),f14(x88241,f316(f316(f23(f905(x88241,a895)),x88242),f316(f316(f298(x88241),x88243),f178(f905(x88241,a895)))))),f14(x88241,f316(f316(f298(x88241),x88243),x88242)))
% 163.96/163.66 [8825]~P108(x88251)+~P107(f316(f54(x88251),x88252))+E(f316(f316(f23(f905(x88251,a895)),x88252),f316(f316(f298(x88251),x88253),f178(f905(x88251,a895)))),f178(f905(x88251,a895)))+E(f316(f316(f223(x88251),x88253),f15(x88251,f316(f316(f23(f905(x88251,a895)),x88252),f316(f316(f298(x88251),x88253),f178(f905(x88251,a895)))))),f15(x88251,f316(f316(f298(x88251),x88253),x88252)))
% 163.96/163.66 [8897]~P108(x88971)+~P107(f316(f54(x88971),x88972))+E(f316(f316(f23(f905(x88971,a895)),x88972),f316(f316(f298(x88971),x88973),f178(f905(x88971,a895)))),f178(f905(x88971,a895)))+E(f316(f316(f222(x88971),x88973),f11(x88971,f222(x88971),f316(f316(f23(f905(x88971,a895)),x88972),f316(f316(f298(x88971),x88973),f178(f905(x88971,a895)))))),f11(x88971,f222(x88971),f316(f316(f298(x88971),x88973),x88972)))
% 163.96/163.66 [8898]~P108(x88981)+~P107(f316(f54(x88981),x88982))+E(f316(f316(f23(f905(x88981,a895)),x88982),f316(f316(f298(x88981),x88983),f178(f905(x88981,a895)))),f178(f905(x88981,a895)))+E(f316(f316(f223(x88981),x88983),f12(x88981,f223(x88981),f316(f316(f23(f905(x88981,a895)),x88982),f316(f316(f298(x88981),x88983),f178(f905(x88981,a895)))))),f12(x88981,f223(x88981),f316(f316(f298(x88981),x88983),x88982)))
% 163.96/163.66 [9483]E(x94831,x94832)+~E(f316(f132(f899(x94833),f899(x94833),f124(x94833),f103(x94833)),x94831),f316(f132(f899(x94833),f899(x94833),f124(x94833),f103(x94833)),x94832))+~E(f316(f179(f899(f899(x94833))),x94831),f316(f179(f899(f899(x94833))),x94832))+P107(f316(f316(f318(f904(f899(x94833),f899(x94833))),f695(x94831,x94832,x94833)),f316(f162(f904(f899(x94833),f899(x94833))),f316(f316(f171(f899(x94833),f899(x94833)),x94832),x94831))))
% 163.96/163.66 [9484]E(x94841,x94842)+~E(f316(f132(f899(x94843),f899(x94843),f124(x94843),f103(x94843)),x94841),f316(f132(f899(x94843),f899(x94843),f124(x94843),f103(x94843)),x94842))+~E(f316(f179(f899(f899(x94843))),x94841),f316(f179(f899(f899(x94843))),x94842))+P107(f316(f316(f318(f904(f899(x94843),f899(x94843))),f696(x94842,x94841,x94843)),f316(f162(f904(f899(x94843),f899(x94843))),f316(f316(f171(f899(x94843),f899(x94843)),x94841),x94842))))
% 163.96/163.66 [10351]~P102(x103512)+E(x103511,f178(f905(x103512,a895)))+~P107(f316(f54(x103512),x103511))+E(f10(x103512,f316(f251(x103512),f316(f316(f8(f905(x103512,a895),a895,x103512),f81(x103512)),f316(f316(f7(x103512,f905(x103512,a895),f905(x103512,a895)),f316(f316(f8(f905(x103512,f905(a895,a895)),f905(f905(x103512,a895),f905(x103512,a895)),x103512),f18(x103512,a895,a895)),f316(f316(f8(f905(x103512,a895),f905(x103512,f905(a895,a895)),x103512),f316(f8(a895,f905(a895,a895),x103512),a314)),f316(f316(f7(x103512,f905(x103512,x103512),f905(x103512,a895)),f316(f316(f8(f905(x103512,a895),f905(f905(x103512,x103512),f905(x103512,a895)),x103512),f8(x103512,a895,x103512)),a313)),f316(f100(x103512),x103513))))),f316(f316(f7(x103512,f905(x103512,a895),a895),f318(x103512)),x103511))))),f316(f316(f100(x103512),x103513),f10(x103512,x103511)))
% 163.96/163.66 [10352]~P102(x103522)+E(x103521,f178(f905(x103522,a895)))+~P107(f316(f54(x103522),x103521))+E(f13(x103522,f316(f251(x103522),f316(f316(f8(f905(x103522,a895),a895,x103522),f81(x103522)),f316(f316(f7(x103522,f905(x103522,a895),f905(x103522,a895)),f316(f316(f8(f905(x103522,f905(a895,a895)),f905(f905(x103522,a895),f905(x103522,a895)),x103522),f18(x103522,a895,a895)),f316(f316(f8(f905(x103522,a895),f905(x103522,f905(a895,a895)),x103522),f316(f8(a895,f905(a895,a895),x103522),a314)),f316(f316(f7(x103522,f905(x103522,x103522),f905(x103522,a895)),f316(f316(f8(f905(x103522,a895),f905(f905(x103522,x103522),f905(x103522,a895)),x103522),f8(x103522,a895,x103522)),a313)),f316(f91(x103522),x103523))))),f316(f316(f7(x103522,f905(x103522,a895),a895),f318(x103522)),x103521))))),f316(f316(f91(x103522),x103523),f13(x103522,x103521)))
% 163.96/163.66 [10353]~P77(x103532)+E(x103531,f178(f905(x103532,a895)))+~P107(f316(f54(x103532),x103531))+E(f14(x103532,f316(f251(x103532),f316(f316(f8(f905(x103532,a895),a895,x103532),f81(x103532)),f316(f316(f7(x103532,f905(x103532,a895),f905(x103532,a895)),f316(f316(f8(f905(x103532,f905(a895,a895)),f905(f905(x103532,a895),f905(x103532,a895)),x103532),f18(x103532,a895,a895)),f316(f316(f8(f905(x103532,a895),f905(x103532,f905(a895,a895)),x103532),f316(f8(a895,f905(a895,a895),x103532),a314)),f316(f316(f7(x103532,f905(x103532,x103532),f905(x103532,a895)),f316(f316(f8(f905(x103532,a895),f905(f905(x103532,x103532),f905(x103532,a895)),x103532),f8(x103532,a895,x103532)),a313)),f316(f74(x103532),x103533))))),f316(f316(f7(x103532,f905(x103532,a895),a895),f318(x103532)),x103531))))),f316(f316(f74(x103532),x103533),f14(x103532,x103531)))
% 163.96/163.66 [10354]~P77(x103542)+E(x103541,f178(f905(x103542,a895)))+~P107(f316(f54(x103542),x103541))+E(f15(x103542,f316(f251(x103542),f316(f316(f8(f905(x103542,a895),a895,x103542),f81(x103542)),f316(f316(f7(x103542,f905(x103542,a895),f905(x103542,a895)),f316(f316(f8(f905(x103542,f905(a895,a895)),f905(f905(x103542,a895),f905(x103542,a895)),x103542),f18(x103542,a895,a895)),f316(f316(f8(f905(x103542,a895),f905(x103542,f905(a895,a895)),x103542),f316(f8(a895,f905(a895,a895),x103542),a314)),f316(f316(f7(x103542,f905(x103542,x103542),f905(x103542,a895)),f316(f316(f8(f905(x103542,a895),f905(f905(x103542,x103542),f905(x103542,a895)),x103542),f8(x103542,a895,x103542)),a313)),f316(f74(x103542),x103543))))),f316(f316(f7(x103542,f905(x103542,a895),a895),f318(x103542)),x103541))))),f316(f316(f74(x103542),x103543),f15(x103542,x103541)))
% 163.96/163.66 [10355]~P108(x103552)+E(x103551,f178(f905(x103552,a895)))+~P107(f316(f54(x103552),x103551))+E(f12(x103552,f223(x103552),f316(f251(x103552),f316(f316(f8(f905(x103552,a895),a895,x103552),f81(x103552)),f316(f316(f7(x103552,f905(x103552,a895),f905(x103552,a895)),f316(f316(f8(f905(x103552,f905(a895,a895)),f905(f905(x103552,a895),f905(x103552,a895)),x103552),f18(x103552,a895,a895)),f316(f316(f8(f905(x103552,a895),f905(x103552,f905(a895,a895)),x103552),f316(f8(a895,f905(a895,a895),x103552),a314)),f316(f316(f7(x103552,f905(x103552,x103552),f905(x103552,a895)),f316(f316(f8(f905(x103552,a895),f905(f905(x103552,x103552),f905(x103552,a895)),x103552),f8(x103552,a895,x103552)),a313)),f316(f222(x103552),x103553))))),f316(f316(f7(x103552,f905(x103552,a895),a895),f318(x103552)),x103551))))),f316(f316(f222(x103552),x103553),f12(x103552,f223(x103552),x103551)))
% 163.96/163.66 [10356]~P108(x103562)+E(x103561,f178(f905(x103562,a895)))+~P107(f316(f54(x103562),x103561))+E(f11(x103562,f222(x103562),f316(f251(x103562),f316(f316(f8(f905(x103562,a895),a895,x103562),f81(x103562)),f316(f316(f7(x103562,f905(x103562,a895),f905(x103562,a895)),f316(f316(f8(f905(x103562,f905(a895,a895)),f905(f905(x103562,a895),f905(x103562,a895)),x103562),f18(x103562,a895,a895)),f316(f316(f8(f905(x103562,a895),f905(x103562,f905(a895,a895)),x103562),f316(f8(a895,f905(a895,a895),x103562),a314)),f316(f316(f7(x103562,f905(x103562,x103562),f905(x103562,a895)),f316(f316(f8(f905(x103562,a895),f905(f905(x103562,x103562),f905(x103562,a895)),x103562),f8(x103562,a895,x103562)),a313)),f316(f223(x103562),x103563))))),f316(f316(f7(x103562,f905(x103562,a895),a895),f318(x103562)),x103561))))),f316(f316(f223(x103562),x103563),f11(x103562,f222(x103562),x103561)))
% 163.96/163.66 [10067]~P123(x100671)+~E(x100673,f2(x100671))+~E(x100672,f2(x100671))+E(f316(f316(f74(x100671),f316(f316(f233(x100671),x100672),f316(f93(a898),f316(f316(f74(a1),f316(f316(f23(a1),f316(f316(f74(a1),a77),a77)),a87)),f316(f316(f23(a1),f316(f316(f74(a1),a77),a77)),a87))))),f316(f316(f233(x100671),x100673),f316(f93(a898),f316(f316(f74(a1),f316(f316(f23(a1),f316(f316(f74(a1),a77),a77)),a87)),f316(f316(f23(a1),f316(f316(f74(a1),a77),a77)),a87))))),f2(x100671))
% 163.96/163.66 [10222]~P126(x102221)+~P107(f316(f316(f224(x102221),f2(x102221)),x102223))+P107(f316(f316(f224(x102221),x102222),x102223))+~P107(f316(f316(f224(x102221),f316(f316(f233(x102221),x102222),f316(f93(a898),f316(f316(f74(a1),f316(f316(f23(a1),f316(f316(f74(a1),a77),a77)),a87)),f316(f316(f23(a1),f316(f316(f74(a1),a77),a77)),a87))))),f316(f316(f233(x102221),x102223),f316(f93(a898),f316(f316(f74(a1),f316(f316(f23(a1),f316(f316(f74(a1),a77),a77)),a87)),f316(f316(f23(a1),f316(f316(f74(a1),a77),a77)),a87))))))
% 163.96/163.66 [10279]~P123(x102792)+~E(x102791,f2(x102792))+~E(x102793,f2(x102792))+~P107(f316(f316(f225(x102792),f2(x102792)),f316(f316(f74(x102792),f316(f316(f233(x102792),x102793),f316(f93(a898),f316(f316(f74(a1),f316(f316(f23(a1),f316(f316(f74(a1),a77),a77)),a87)),f316(f316(f23(a1),f316(f316(f74(a1),a77),a77)),a87))))),f316(f316(f233(x102792),x102791),f316(f93(a898),f316(f316(f74(a1),f316(f316(f23(a1),f316(f316(f74(a1),a77),a77)),a87)),f316(f316(f23(a1),f316(f316(f74(a1),a77),a77)),a87)))))))
% 163.96/163.66 [6811]~P4(x68113,x68112)+~P107(f316(x68111,x68114))+~P107(f316(f316(f318(x68113),x68114),f259(x68113,x68112)))+P107(f316(x68111,f816(x68111,x68112,x68113)))
% 163.96/163.66 [8731]P23(x87311,x87312,f820(x87313,x87312,x87314,x87311),x87314,x87313)+~E(f316(f28(x87311),x87314),f316(f28(x87312),x87313))+~P107(f316(f54(x87312),x87313))+~P107(f316(f54(x87311),x87314))
% 163.96/163.66 [9446]E(x94461,x94462)+~E(f648(x94461,x94462,x94464,x94463),f649(x94461,x94462,x94464,x94463))+P107(f316(f316(f318(f904(f899(x94463),f899(x94463))),f316(f316(f241(f899(x94463),f899(x94463)),x94462),x94461)),f137(x94463,x94464)))+P107(f316(f316(f318(f904(f899(x94463),f899(x94463))),f316(f316(f241(f899(x94463),f899(x94463)),x94461),x94462)),f137(x94463,x94464)))
% 163.96/163.66 [4929]~P65(x49292)+~E(x49294,f2(x49292))+~E(x49291,f2(x49292))+E(x49291,f316(f316(f280(x49292),x49293),x49294))
% 163.96/163.66 [4930]~P65(x49301)+~E(x49303,f2(x49301))+~E(x49304,f2(x49301))+E(f316(f316(f280(x49301),x49302),x49303),x49304)
% 163.96/163.66 [5050]~P65(x50502)+E(x50501,f2(x50502))+~E(x50503,f2(x50502))+~E(x50501,f316(f316(f280(x50502),x50504),x50503))
% 163.96/163.66 [5051]~P65(x50512)+E(x50511,f2(x50512))+~E(x50513,f2(x50512))+~E(f316(f316(f280(x50512),x50514),x50513),x50511)
% 163.96/163.66 [5234]~P120(x52342)+E(x52341,f2(x52342))+~E(f316(f316(f280(x52342),x52343),x52341),x52344)+E(x52343,f316(f316(f75(x52342),x52344),x52341))
% 163.96/163.66 [5236]~P120(x52362)+E(x52361,f2(x52362))+~E(f316(f316(f75(x52362),x52363),x52361),x52364)+E(x52363,f316(f316(f280(x52362),x52364),x52361))
% 163.96/163.66 [5237]~P65(x52372)+E(x52371,f2(x52372))+~E(f316(f316(f280(x52372),x52373),x52371),x52374)+E(x52373,f316(f316(f75(x52372),x52374),x52371))
% 163.96/163.66 [5238]~P65(x52382)+E(x52381,f2(x52382))+~E(f316(f316(f75(x52382),x52383),x52381),x52384)+E(x52383,f316(f316(f280(x52382),x52384),x52381))
% 163.96/163.66 [5239]~P120(x52392)+E(x52391,f2(x52392))+~E(x52393,f316(f316(f280(x52392),x52394),x52391))+E(f316(f316(f75(x52392),x52393),x52391),x52394)
% 163.96/163.66 [5241]~P120(x52412)+E(x52411,f2(x52412))+~E(x52413,f316(f316(f75(x52412),x52414),x52411))+E(f316(f316(f280(x52412),x52413),x52411),x52414)
% 163.96/163.66 [5242]~P65(x52422)+E(x52421,f2(x52422))+~E(x52423,f316(f316(f280(x52422),x52424),x52421))+E(f316(f316(f75(x52422),x52423),x52421),x52424)
% 163.96/163.66 [5243]~P65(x52432)+E(x52431,f2(x52432))+~E(x52433,f316(f316(f75(x52432),x52434),x52431))+E(f316(f316(f280(x52432),x52433),x52431),x52434)
% 163.96/163.66 [5267]~P65(x52672)+~E(x52671,f2(x52672))+~E(f316(f316(f75(x52672),x52671),x52674),x52673)+E(x52671,f316(f316(f280(x52672),x52673),x52674))
% 163.96/163.66 [5268]~P65(x52681)+~E(x52684,f2(x52681))+~E(x52682,f316(f316(f75(x52681),x52684),x52683))+E(f316(f316(f280(x52681),x52682),x52683),x52684)
% 163.96/163.66 [5342]~E(x53423,x53424)+~E(x53422,x53423)+~P111(x53421)+E(f292(x53421,x53422,x53423),f316(f316(f298(x53421),x53424),f178(f905(x53421,a895))))
% 163.96/163.66 [5545]~E(f104(x55452,x55451),x55453)+~E(f134(x55452,x55451),x55454)+E(x55451,f103(x55452))+E(f316(f316(f124(x55452),x55453),f316(f316(f141(x55452),x55454),f103(x55452))),x55451)
% 163.96/163.66 [6189]~P126(x61893)+E(x61891,x61892)+~E(f316(f316(f233(x61893),x61894),x61891),f316(f316(f233(x61893),x61894),x61892))+~P107(f316(f316(f225(x61893),f72(x61893)),x61894))
% 163.96/163.66 [6190]E(x61901,x61902)+~E(f316(f316(f298(x61903),x61904),x61901),f316(f316(f298(x61903),x61904),x61902))+P107(f316(f316(f318(x61903),x61904),x61902))+P107(f316(f316(f318(x61903),x61904),x61901))
% 163.96/163.66 [6233]E(f316(x62331,x62332),f72(a898))+~E(f316(f316(f9(x62333,a898),x62331),x62334),f72(a898))+~P107(f316(f54(x62333),x62334))+~P107(f316(f316(f318(x62333),x62332),x62334))
% 163.96/163.66 [6234]E(f316(x62341,x62342),f2(a898))+~E(f316(f316(f6(x62343,a898),x62341),x62344),f2(a898))+~P107(f316(f54(x62343),x62344))+~P107(f316(f316(f318(x62343),x62342),x62344))
% 163.96/163.66 [6458]~P111(x64581)+~P107(f316(f316(f224(x64581),x64584),x64583))+P107(f316(f316(f224(x64581),x64582),x64583))+~P107(f316(f316(f224(x64581),x64582),x64584))
% 163.96/163.66 [6459]~P109(x64591)+~P107(f316(f316(f224(x64591),x64592),x64594))+P107(f316(f316(f224(x64591),x64592),x64593))+~P107(f316(f316(f224(x64591),x64594),x64593))
% 163.96/163.66 [6460]~P111(x64601)+~P107(f316(f316(f225(x64601),x64604),x64603))+P107(f316(f316(f225(x64601),x64602),x64603))+~P107(f316(f316(f224(x64601),x64602),x64604))
% 163.96/163.66 [6461]~P111(x64611)+~P107(f316(f316(f225(x64611),x64612),x64614))+P107(f316(f316(f225(x64611),x64612),x64613))+~P107(f316(f316(f224(x64611),x64614),x64613))
% 163.96/163.66 [6462]~P111(x64621)+~P107(f316(f316(f225(x64621),x64624),x64623))+P107(f316(f316(f225(x64621),x64622),x64623))+~P107(f316(f316(f225(x64621),x64622),x64624))
% 163.96/163.66 [6463]~P109(x64631)+~P107(f316(f316(f225(x64631),x64632),x64634))+P107(f316(f316(f225(x64631),x64632),x64633))+~P107(f316(f316(f224(x64631),x64634),x64633))
% 163.96/163.66 [6464]~P109(x64641)+~P107(f316(f316(f225(x64641),x64644),x64643))+P107(f316(f316(f225(x64641),x64642),x64643))+~P107(f316(f316(f224(x64641),x64642),x64644))
% 163.96/163.66 [6465]~P109(x64651)+~P107(f316(f316(f225(x64651),x64652),x64654))+P107(f316(f316(f225(x64651),x64652),x64653))+~P107(f316(f316(f225(x64651),x64654),x64653))
% 163.96/163.66 [6466]~P117(x64661)+~P107(f316(f316(f276(x64661),x64662),x64664))+P107(f316(f316(f276(x64661),x64662),x64663))+~P107(f316(f316(f276(x64661),x64664),x64663))
% 163.96/163.66 [6548]~P34(x65484,x65483,x65482)+E(x65481,f749(x65482,x65483,x65484))+~P107(f316(x65483,x65481))+~P107(f316(f316(f318(x65484),x65481),f316(f162(x65484),x65482)))
% 163.96/163.66 [6549]~P34(x65494,x65493,x65492)+E(x65491,f761(x65492,x65493,x65494))+~P107(f316(x65493,x65491))+~P107(f316(f316(f318(x65494),x65491),f316(f162(x65494),x65492)))
% 163.96/163.66 [6702]~P2(x67021)+~P107(f316(f316(f224(x67021),x67022),f31(x67021,x67024)))+P107(f316(f316(f224(x67021),x67022),x67023))+~P107(f316(f316(f318(x67021),x67023),x67024))
% 163.96/163.66 [6853]~P108(x68531)+~P10(x68531,f316(f316(f141(x68531),x68532),x68534))+~P107(f316(f316(f318(x68531),x68533),f316(f162(x68531),x68534)))+P107(f316(f316(f224(x68531),x68532),x68533))
% 163.96/163.66 [6943]~P2(x69431)+~P107(f316(f316(f224(x69431),f30(x69431,x69434)),x69433))+P107(f316(f316(f224(x69431),x69432),x69433))+~P107(f316(f316(f318(x69431),x69432),x69434))
% 163.96/163.66 [7085]~P62(x70851)+P107(f316(f316(f276(x70851),x70852),f38(x70851,x70853,x70854)))+~P107(f316(f316(f276(x70851),x70852),x70854))+~P107(f316(f316(f276(x70851),x70852),x70853))
% 163.96/163.66 [7353]~P108(x73531)+E(f316(f316(f100(f905(x73531,a895)),f316(f291(x73531,x73532),x73533)),f316(f291(x73531,x73533),x73534)),f316(f291(x73531,x73532),x73534))+~P107(f316(f316(f224(x73531),x73533),x73534))+~P107(f316(f316(f224(x73531),x73532),x73533))
% 163.96/163.66 [7397]P34(x73971,x73972,x73973)+~E(f763(x73973,x73972,x73971,x73974),x73974)+~P107(f316(x73972,x73974))+~P107(f316(f316(f318(x73971),x73974),f316(f162(x73971),x73973)))
% 163.96/163.66 [7398]P34(x73981,x73982,x73983)+~E(f772(x73983,x73982,x73981,x73984),x73984)+~P107(f316(x73982,x73984))+~P107(f316(f316(f318(x73981),x73984),f316(f162(x73981),x73983)))
% 163.96/163.66 [7440]~P62(x74401)+~P107(f316(f316(f276(x74401),x74402),f38(x74401,x74403,x74404)))+P107(f316(f316(f276(x74401),x74402),x74403))+~P107(f316(f316(f276(x74401),x74402),x74404))
% 163.96/163.66 [7474]~P108(x74741)+E(f316(f316(f100(f905(x74741,a895)),f316(f291(x74741,x74742),x74743)),f292(x74741,x74743,x74744)),f292(x74741,x74742,x74744))+~P107(f316(f316(f224(x74741),x74743),x74744))+~P107(f316(f316(f224(x74741),x74742),x74743))
% 163.96/163.66 [7536]~P108(x75361)+E(f316(f316(f100(f905(x75361,a895)),f295(x75361,x75362,x75363)),f316(f291(x75361,x75363),x75364)),f295(x75361,x75362,x75364))+~P107(f316(f316(f224(x75361),x75363),x75364))+~P107(f316(f316(f225(x75361),x75362),x75363))
% 163.96/163.66 [7553]~P108(x75531)+E(f316(f316(f100(f905(x75531,a895)),f292(x75531,x75532,x75533)),f295(x75531,x75533,x75534)),f316(f291(x75531,x75532),x75534))+~P107(f316(f316(f224(x75531),x75532),x75533))+~P107(f316(f316(f225(x75531),x75533),x75534))
% 163.96/163.66 [7584]~P108(x75841)+E(f316(f316(f100(f905(x75841,a895)),f295(x75841,x75842,x75843)),f292(x75841,x75843,x75844)),f294(x75841,x75842,x75844))+~P107(f316(f316(f224(x75841),x75843),x75844))+~P107(f316(f316(f225(x75841),x75842),x75843))
% 163.96/163.66 [7585]~P108(x75851)+E(f316(f316(f100(f905(x75851,a895)),f294(x75851,x75852,x75853)),f295(x75851,x75853,x75854)),f295(x75851,x75852,x75854))+~P107(f316(f316(f224(x75851),x75852),x75853))+~P107(f316(f316(f225(x75851),x75853),x75854))
% 163.96/163.66 [7586]~P108(x75861)+E(f316(f316(f100(f905(x75861,a895)),f294(x75861,x75862,x75863)),f294(x75861,x75863,x75864)),f294(x75861,x75862,x75864))+~P107(f316(f316(f224(x75861),x75863),x75864))+~P107(f316(f316(f224(x75861),x75862),x75863))
% 163.96/163.66 [7587]~P108(x75871)+E(f316(f316(f100(f905(x75871,a895)),f292(x75871,x75872,x75873)),f294(x75871,x75873,x75874)),f292(x75871,x75872,x75874))+~P107(f316(f316(f224(x75871),x75873),x75874))+~P107(f316(f316(f224(x75871),x75872),x75873))
% 163.96/163.66 [8376]P22(x83761,x83762,f360(x83763,x83762,x83764,x83761),x83764)+~P107(f316(f54(x83762),x83763))+~P107(f316(f54(x83761),x83764))+~P107(f316(f316(f224(a898),f316(f28(x83761),x83764)),f316(f28(x83762),x83763)))
% 163.96/163.66 [8397]P34(x83971,x83972,x83973)+~P107(f316(x83972,x83974))+P107(f316(x83972,f763(x83973,x83972,x83971,x83974)))+~P107(f316(f316(f318(x83971),x83974),f316(f162(x83971),x83973)))
% 163.96/163.66 [8398]P34(x83981,x83982,x83983)+~P107(f316(x83982,x83984))+P107(f316(x83982,f772(x83983,x83982,x83981,x83984)))+~P107(f316(f316(f318(x83981),x83984),f316(f162(x83981),x83983)))
% 163.96/163.66 [8452]~P72(x84521)+~E(f316(x84523,f594(x84523,x84524,x84522,x84521)),f72(x84521))+E(f316(f316(f316(f58(x84521,x84522,f75(x84521)),x84523),f72(x84521)),x84524),f72(x84521))+~P107(f316(f54(x84522),x84524))
% 163.96/163.66 [8720]~P126(x87201)+~P107(f316(f316(f224(x87201),f2(x87201)),x87203))+P107(f316(f316(f224(x87201),x87202),x87203))+~P107(f316(f316(f224(x87201),f316(f316(f233(x87201),x87202),f316(a102,x87204))),f316(f316(f233(x87201),x87203),f316(a102,x87204))))
% 163.96/163.66 [9042]P34(x90421,x90422,x90423)+~P107(f316(x90422,x90424))+~P107(f316(f316(f318(x90421),x90424),f316(f162(x90421),x90423)))+P107(f316(f316(f318(x90421),f763(x90423,x90422,x90421,x90424)),f316(f162(x90421),x90423)))
% 163.96/163.66 [9043]P34(x90431,x90432,x90433)+~P107(f316(x90432,x90434))+~P107(f316(f316(f318(x90431),x90434),f316(f162(x90431),x90433)))+P107(f316(f316(f318(x90431),f772(x90433,x90432,x90431,x90434)),f316(f162(x90431),x90433)))
% 163.96/163.66 [9121]~P72(x91211)+E(f316(f316(f316(f58(x91211,x91212,f75(x91211)),x91213),f72(x91211)),x91214),f72(x91211))+~P107(f316(f54(x91212),x91214))+P107(f316(f316(f318(x91212),f594(x91213,x91214,x91212,x91211)),x91214))
% 163.96/163.66 [9618]~P107(f316(f316(f276(a898),x96181),x96183))+~P107(f316(f316(f276(a898),x96181),x96182))+~P107(f316(f316(f276(a898),x96184),x96183))+~P107(f316(f316(f225(f905(a898,a895)),f279(a898,f276(a898),x96181,x96183)),f279(a898,f276(a898),x96182,x96184)))
% 163.96/163.66 [9623]~P107(f316(f316(f224(a1),x96234),f2(a1)))+P107(f316(f316(f224(a1),f316(f316(f74(a1),f316(f316(f75(a1),x96231),f38(a1,x96232,x96233))),x96234)),f2(a1)))+~P107(f316(f316(f225(a1),f2(a1)),x96233))+~P107(f316(f316(f225(a1),x96231),x96234))
% 163.96/163.66 [10060]~P107(f316(f54(x100601),x100602))+~P107(f316(f316(f318(x100601),x100604),x100602))+~P107(f316(f316(f318(x100601),x100603),x100602))+P107(f316(f316(f225(a898),f316(f28(x100601),f316(f316(f23(f905(x100601,a895)),f316(f316(f23(f905(x100601,a895)),x100602),f316(f316(f298(x100601),x100603),f178(f905(x100601,a895))))),f316(f316(f298(x100601),x100604),f178(f905(x100601,a895)))))),f316(f28(x100601),x100602)))
% 163.96/163.66 [7057]~P103(x70571)+~P107(f316(f316(f224(x70571),x70572),x70574))+~P107(f316(f316(f224(x70571),x70572),x70573))+P107(f316(f316(f224(x70571),x70572),f316(f316(f91(x70571),x70573),x70574)))
% 163.96/163.66 [7060]~P108(x70601)+~P107(f316(f316(f224(x70601),x70602),x70604))+~P107(f316(f316(f224(x70601),x70602),x70603))+P107(f316(f316(f224(x70601),x70602),f316(f316(f222(x70601),x70603),x70604)))
% 163.96/163.66 [7061]~P108(x70611)+~P107(f316(f316(f225(x70611),x70612),x70614))+~P107(f316(f316(f225(x70611),x70612),x70613))+P107(f316(f316(f225(x70611),x70612),f316(f316(f222(x70611),x70613),x70614)))
% 163.96/163.66 [7062]~P115(x70621)+~P107(f316(f316(f276(x70621),x70622),x70624))+~P107(f316(f316(f276(x70621),x70622),x70623))+P107(f316(f316(f276(x70621),x70622),f316(f316(f23(x70621),x70623),x70624)))
% 163.96/163.66 [7063]~P117(x70631)+~P107(f316(f316(f276(x70631),x70632),x70634))+~P107(f316(f316(f276(x70631),x70632),x70633))+P107(f316(f316(f276(x70631),x70632),f316(f316(f74(x70631),x70633),x70634)))
% 163.96/163.66 [7083]~P66(x70832)+E(x70831,f2(x70832))+E(f316(f316(f280(x70832),f316(f316(f233(x70832),x70831),x70833)),f316(f316(f233(x70832),x70831),x70834)),f316(f316(f233(x70832),x70831),f316(f316(f23(a898),x70833),x70834)))+~P107(f316(f316(f224(a898),x70834),x70833))
% 163.96/163.66 [7130]~P108(x71301)+~P10(x71301,f316(f316(f141(x71301),x71303),x71304))+P10(x71301,f316(f316(f141(x71301),x71302),f316(f316(f141(x71301),x71303),x71304)))+~P107(f316(f316(f224(x71301),x71302),x71303))
% 163.96/163.66 [7167]~P91(x71671)+~P107(f316(f316(f224(x71671),f2(x71671)),x71674))+~P107(f316(f316(f224(x71671),x71672),x71673))+P107(f316(f316(f224(x71671),x71672),f316(f316(f74(x71671),x71673),x71674)))
% 163.96/163.66 [7168]~P91(x71681)+~P107(f316(f316(f224(x71681),f2(x71681)),x71683))+~P107(f316(f316(f224(x71681),x71682),x71684))+P107(f316(f316(f224(x71681),x71682),f316(f316(f74(x71681),x71683),x71684)))
% 163.96/163.66 [7169]~P126(x71691)+~P107(f316(f316(f225(x71691),f2(x71691)),x71693))+~P107(f316(f316(f225(x71691),x71692),x71694))+P107(f316(f316(f225(x71691),x71692),f316(f316(f74(x71691),x71693),x71694)))
% 163.96/163.66 [7170]~P91(x71701)+~P107(f316(f316(f224(x71701),x71702),x71704))+~P107(f316(f316(f225(x71701),f2(x71701)),x71703))+P107(f316(f316(f225(x71701),x71702),f316(f316(f74(x71701),x71703),x71704)))
% 163.96/163.66 [7171]~P91(x71711)+~P107(f316(f316(f224(x71711),f2(x71711)),x71713))+~P107(f316(f316(f225(x71711),x71712),x71714))+P107(f316(f316(f225(x71711),x71712),f316(f316(f74(x71711),x71713),x71714)))
% 163.96/163.66 [7212]~P108(x72121)+P107(f316(f316(f224(x72121),x72122),x72123))+P107(f316(f316(f224(x72121),x72122),x72124))+~P107(f316(f316(f224(x72121),x72122),f316(f316(f223(x72121),x72124),x72123)))
% 163.96/163.66 [7213]~P108(x72131)+P107(f316(f316(f225(x72131),x72132),x72133))+P107(f316(f316(f225(x72131),x72132),x72134))+~P107(f316(f316(f225(x72131),x72132),f316(f316(f223(x72131),x72134),x72133)))
% 163.96/163.66 [7508]~P111(x75082)+~P64(x75081)+~P107(f316(f316(f225(f905(x75081,x75082)),x75083),x75084))+P107(f316(f316(f224(f905(x75081,x75082)),x75083),x75084))
% 163.96/163.66 [7873]~P68(x78731)+~P107(f316(f316(f225(x78731),x78734),f2(x78731)))+~P107(f316(f316(f224(x78731),x78733),f316(f316(f280(x78731),x78732),x78734)))+P107(f316(f316(f224(x78731),x78732),f316(f316(f75(x78731),x78733),x78734)))
% 163.96/163.66 [7874]~P68(x78741)+~P107(f316(f316(f225(x78741),x78744),f2(x78741)))+~P107(f316(f316(f224(x78741),x78743),f316(f316(f75(x78741),x78742),x78744)))+P107(f316(f316(f224(x78741),x78742),f316(f316(f280(x78741),x78743),x78744)))
% 163.96/163.66 [7875]~P68(x78751)+~P107(f316(f316(f225(x78751),x78754),f2(x78751)))+~P107(f316(f316(f225(x78751),x78753),f316(f316(f280(x78751),x78752),x78754)))+P107(f316(f316(f225(x78751),x78752),f316(f316(f75(x78751),x78753),x78754)))
% 163.96/163.66 [7876]~P68(x78761)+~P107(f316(f316(f225(x78761),x78764),f2(x78761)))+~P107(f316(f316(f225(x78761),x78763),f316(f316(f75(x78761),x78762),x78764)))+P107(f316(f316(f225(x78761),x78762),f316(f316(f280(x78761),x78763),x78764)))
% 163.96/163.66 [7985]~P129(x79851)+~P107(f316(f316(f224(x79851),x79852),f2(x79851)))+~P107(f316(f316(f224(x79851),x79854),x79853))+P107(f316(f316(f224(x79851),f316(f316(f75(x79851),x79852),x79853)),f316(f316(f75(x79851),x79852),x79854)))
% 163.96/163.66 [7986]~P128(x79861)+~P107(f316(f316(f225(x79861),x79862),f2(x79861)))+~P107(f316(f316(f224(x79861),x79864),x79863))+P107(f316(f316(f224(x79861),f316(f316(f75(x79861),x79862),x79863)),f316(f316(f75(x79861),x79862),x79864)))
% 163.96/163.66 [7987]~P129(x79871)+~P107(f316(f316(f224(x79871),x79873),f2(x79871)))+~P107(f316(f316(f224(x79871),x79874),x79872))+P107(f316(f316(f224(x79871),f316(f316(f75(x79871),x79872),x79873)),f316(f316(f75(x79871),x79874),x79873)))
% 163.96/163.66 [7988]~P67(x79881)+~P107(f316(f316(f224(x79881),x79883),f2(x79881)))+~P107(f316(f316(f224(x79881),x79884),x79882))+P107(f316(f316(f224(x79881),f316(f316(f280(x79881),x79882),x79883)),f316(f316(f280(x79881),x79884),x79883)))
% 163.96/163.66 [7992]~P128(x79921)+~P107(f316(f316(f225(x79921),x79923),f2(x79921)))+~P107(f316(f316(f225(x79921),x79924),x79922))+P107(f316(f316(f225(x79921),f316(f316(f75(x79921),x79922),x79923)),f316(f316(f75(x79921),x79924),x79923)))
% 163.96/163.66 [7993]~P128(x79931)+~P107(f316(f316(f225(x79931),x79932),f2(x79931)))+~P107(f316(f316(f225(x79931),x79934),x79933))+P107(f316(f316(f225(x79931),f316(f316(f75(x79931),x79932),x79933)),f316(f316(f75(x79931),x79932),x79934)))
% 163.96/163.66 [7994]~P68(x79941)+~P107(f316(f316(f225(x79941),x79943),f2(x79941)))+~P107(f316(f316(f225(x79941),x79944),x79942))+P107(f316(f316(f225(x79941),f316(f316(f280(x79941),x79942),x79943)),f316(f316(f280(x79941),x79944),x79943)))
% 163.96/163.66 [7995]~P126(x79951)+~P107(f316(f316(f225(x79951),f72(x79951)),x79952))+~P107(f316(f316(f224(a898),x79953),x79954))+P107(f316(f316(f224(x79951),f316(f316(f233(x79951),x79952),x79953)),f316(f316(f233(x79951),x79952),x79954)))
% 163.96/163.66 [7996]~P126(x79961)+~P107(f316(f316(f224(x79961),f72(x79961)),x79962))+~P107(f316(f316(f224(a898),x79963),x79964))+P107(f316(f316(f224(x79961),f316(f316(f233(x79961),x79962),x79963)),f316(f316(f233(x79961),x79962),x79964)))
% 163.96/163.66 [7998]~P126(x79981)+~P107(f316(f316(f225(x79981),f72(x79981)),x79982))+~P107(f316(f316(f225(a898),x79983),x79984))+P107(f316(f316(f225(x79981),f316(f316(f233(x79981),x79982),x79983)),f316(f316(f233(x79981),x79982),x79984)))
% 163.96/163.66 [8025]P107(f316(f316(f225(a898),f2(a898)),f316(x80251,x80252)))+~P107(f316(f54(x80253),x80254))+~P107(f316(f316(f318(x80253),x80252),x80254))+~P107(f316(f316(f225(a898),f2(a898)),f316(f316(f9(x80253,a898),x80251),x80254)))
% 163.96/163.66 [8033]~P128(x80331)+~P107(f316(f316(f225(x80331),f2(x80331)),x80332))+~P107(f316(f316(f224(x80331),x80333),x80334))+P107(f316(f316(f224(x80331),f316(f316(f75(x80331),x80332),x80333)),f316(f316(f75(x80331),x80332),x80334)))
% 163.96/163.66 [8034]~P138(x80341)+~P107(f316(f316(f224(x80341),x80343),x80344))+~P107(f316(f316(f224(x80341),f2(x80341)),x80342))+P107(f316(f316(f224(x80341),f316(f316(f75(x80341),x80342),x80343)),f316(f316(f75(x80341),x80342),x80344)))
% 163.96/163.66 [8035]~P137(x80351)+~P107(f316(f316(f224(x80351),x80353),x80354))+~P107(f316(f316(f224(x80351),f2(x80351)),x80352))+P107(f316(f316(f224(x80351),f316(f316(f75(x80351),x80352),x80353)),f316(f316(f75(x80351),x80352),x80354)))
% 163.96/163.66 [8036]~P138(x80361)+~P107(f316(f316(f224(x80361),x80362),x80364))+~P107(f316(f316(f224(x80361),f2(x80361)),x80363))+P107(f316(f316(f224(x80361),f316(f316(f75(x80361),x80362),x80363)),f316(f316(f75(x80361),x80364),x80363)))
% 163.96/163.66 [8037]~P126(x80371)+~P107(f316(f316(f224(x80371),x80372),x80374))+~P107(f316(f316(f224(x80371),f2(x80371)),x80372))+P107(f316(f316(f224(x80371),f316(f316(f233(x80371),x80372),x80373)),f316(f316(f233(x80371),x80374),x80373)))
% 163.96/163.66 [8038]~P67(x80381)+~P107(f316(f316(f224(x80381),x80382),x80384))+~P107(f316(f316(f224(x80381),f2(x80381)),x80383))+P107(f316(f316(f224(x80381),f316(f316(f280(x80381),x80382),x80383)),f316(f316(f280(x80381),x80384),x80383)))
% 163.96/163.66 [8040]~P124(x80401)+~P107(f316(f316(f225(x80401),x80403),x80404))+~P107(f316(f316(f225(x80401),f2(x80401)),x80402))+P107(f316(f316(f225(x80401),f316(f316(f75(x80401),x80402),x80403)),f316(f316(f75(x80401),x80402),x80404)))
% 163.96/163.66 [8041]~P132(x80411)+~P107(f316(f316(f225(x80411),x80413),x80414))+~P107(f316(f316(f225(x80411),f2(x80411)),x80412))+P107(f316(f316(f225(x80411),f316(f316(f75(x80411),x80412),x80413)),f316(f316(f75(x80411),x80412),x80414)))
% 163.96/163.66 [8042]~P128(x80421)+~P107(f316(f316(f225(x80421),x80422),x80424))+~P107(f316(f316(f225(x80421),f2(x80421)),x80423))+P107(f316(f316(f225(x80421),f316(f316(f75(x80421),x80422),x80423)),f316(f316(f75(x80421),x80424),x80423)))
% 163.96/163.66 [8043]~P132(x80431)+~P107(f316(f316(f225(x80431),x80432),x80434))+~P107(f316(f316(f225(x80431),f2(x80431)),x80433))+P107(f316(f316(f225(x80431),f316(f316(f75(x80431),x80432),x80433)),f316(f316(f75(x80431),x80434),x80433)))
% 163.96/163.66 [8044]~P128(x80441)+~P107(f316(f316(f225(x80441),x80443),x80444))+~P107(f316(f316(f225(x80441),f2(x80441)),x80442))+P107(f316(f316(f225(x80441),f316(f316(f75(x80441),x80442),x80443)),f316(f316(f75(x80441),x80442),x80444)))
% 163.96/163.66 [8045]~P68(x80451)+~P107(f316(f316(f225(x80451),x80452),x80454))+~P107(f316(f316(f225(x80451),f2(x80451)),x80453))+P107(f316(f316(f225(x80451),f316(f316(f280(x80451),x80452),x80453)),f316(f316(f280(x80451),x80454),x80453)))
% 163.96/163.66 [8087]~P110(x80872)+P107(f316(f316(f225(f905(x80871,x80872)),x80874),x80873))+~P107(f316(f316(f224(f905(x80871,x80872)),x80874),x80873))+P107(f316(f316(f224(f905(x80871,x80872)),x80873),x80874))
% 163.96/163.66 [8128]P107(f316(f316(f318(x81281),x81282),x81283))+P107(f316(f316(f318(x81281),x81282),x81284))+~P107(f316(f316(f224(f905(x81281,a895)),x81284),x81283))+P107(f316(f316(f225(f905(x81281,a895)),x81284),f316(f316(f298(x81281),x81282),x81283)))
% 163.96/163.66 [8239]~P113(x82392)+E(x82391,f2(x82392))+P107(f316(f316(f276(x82392),x82393),x82394))+~P107(f316(f316(f276(x82392),f316(f316(f75(x82392),x82393),x82391)),f316(f316(f75(x82392),x82394),x82391)))
% 163.96/163.66 [8240]~P113(x82402)+E(x82401,f2(x82402))+P107(f316(f316(f276(x82402),x82403),x82404))+~P107(f316(f316(f276(x82402),f316(f316(f75(x82402),x82401),x82403)),f316(f316(f75(x82402),x82401),x82404)))
% 163.96/163.66 [8288]P107(f316(f316(f318(x82881),x82882),x82883))+P107(f316(f316(f318(x82881),x82882),x82884))+~P107(f316(f316(f225(f905(x82881,a895)),x82884),f316(f316(f298(x82881),x82882),x82883)))+P107(f316(f316(f224(f905(x82881,a895)),x82884),x82883))
% 163.96/163.66 [8353]~P128(x83531)+P107(f316(f316(f225(x83531),x83533),x83532))+P107(f316(f316(f225(x83531),x83532),x83533))+~P107(f316(f316(f225(x83531),f316(f316(f75(x83531),x83534),x83532)),f316(f316(f75(x83531),x83534),x83533)))
% 163.96/163.66 [8354]~P128(x83541)+P107(f316(f316(f225(x83541),x83543),x83542))+P107(f316(f316(f225(x83541),x83542),x83543))+~P107(f316(f316(f225(x83541),f316(f316(f75(x83541),x83542),x83544)),f316(f316(f75(x83541),x83543),x83544)))
% 163.96/163.66 [8365]~P128(x83651)+P107(f316(f316(f225(x83651),x83654),f2(x83651)))+P107(f316(f316(f225(x83651),x83652),x83653))+~P107(f316(f316(f225(x83651),f316(f316(f75(x83651),x83652),x83654)),f316(f316(f75(x83651),x83653),x83654)))
% 163.96/163.66 [8366]~P128(x83661)+P107(f316(f316(f225(x83661),x83664),f2(x83661)))+P107(f316(f316(f225(x83661),x83662),x83663))+~P107(f316(f316(f225(x83661),f316(f316(f75(x83661),x83664),x83662)),f316(f316(f75(x83661),x83664),x83663)))
% 163.96/163.66 [8369]~P128(x83691)+P107(f316(f316(f225(x83691),x83692),x83693))+P107(f316(f316(f225(x83691),f2(x83691)),x83694))+~P107(f316(f316(f225(x83691),f316(f316(f75(x83691),x83694),x83693)),f316(f316(f75(x83691),x83694),x83692)))
% 163.96/163.66 [8370]~P128(x83701)+P107(f316(f316(f225(x83701),x83702),x83703))+P107(f316(f316(f225(x83701),f2(x83701)),x83704))+~P107(f316(f316(f225(x83701),f316(f316(f75(x83701),x83703),x83704)),f316(f316(f75(x83701),x83702),x83704)))
% 163.96/163.66 [8384]~P128(x83841)+P107(f316(f316(f225(x83841),x83842),f2(x83841)))+P107(f316(f316(f225(x83841),f2(x83841)),x83842))+~P107(f316(f316(f225(x83841),f316(f316(f75(x83841),x83843),x83842)),f316(f316(f75(x83841),x83844),x83842)))
% 163.96/163.66 [8385]~P128(x83851)+P107(f316(f316(f225(x83851),x83852),f2(x83851)))+P107(f316(f316(f225(x83851),f2(x83851)),x83852))+~P107(f316(f316(f225(x83851),f316(f316(f75(x83851),x83852),x83853)),f316(f316(f75(x83851),x83852),x83854)))
% 163.96/163.66 [8414]~P128(x84141)+~P107(f316(f316(f225(x84141),x84144),f2(x84141)))+P107(f316(f316(f224(x84141),x84142),x84143))+~P107(f316(f316(f224(x84141),f316(f316(f75(x84141),x84144),x84143)),f316(f316(f75(x84141),x84144),x84142)))
% 163.96/163.66 [8415]~P128(x84151)+~P107(f316(f316(f225(x84151),x84154),f2(x84151)))+P107(f316(f316(f225(x84151),x84152),x84153))+~P107(f316(f316(f225(x84151),f316(f316(f75(x84151),x84154),x84153)),f316(f316(f75(x84151),x84154),x84152)))
% 163.96/163.66 [8426]~P126(x84263)+~P107(f316(f316(f225(x84263),f72(x84263)),x84264))+P107(f316(f316(f224(a898),x84261),x84262))+~P107(f316(f316(f224(x84263),f316(f316(f233(x84263),x84264),x84261)),f316(f316(f233(x84263),x84264),x84262)))
% 163.96/163.66 [8428]~P126(x84283)+~P107(f316(f316(f225(x84283),f72(x84283)),x84284))+P107(f316(f316(f225(a898),x84281),x84282))+~P107(f316(f316(f225(x84283),f316(f316(f233(x84283),x84284),x84281)),f316(f316(f233(x84283),x84284),x84282)))
% 163.96/163.66 [8438]~P128(x84381)+P107(f316(f316(f224(x84381),x84382),x84383))+~P107(f316(f316(f225(x84381),f2(x84381)),x84384))+~P107(f316(f316(f224(x84381),f316(f316(f75(x84381),x84384),x84382)),f316(f316(f75(x84381),x84384),x84383)))
% 163.96/163.66 [8439]~P132(x84391)+P107(f316(f316(f224(x84391),x84392),x84393))+~P107(f316(f316(f225(x84391),f2(x84391)),x84394))+~P107(f316(f316(f224(x84391),f316(f316(f75(x84391),x84394),x84392)),f316(f316(f75(x84391),x84394),x84393)))
% 163.96/163.66 [8440]~P132(x84401)+P107(f316(f316(f224(x84401),x84402),x84403))+~P107(f316(f316(f225(x84401),f2(x84401)),x84404))+~P107(f316(f316(f224(x84401),f316(f316(f75(x84401),x84402),x84404)),f316(f316(f75(x84401),x84403),x84404)))
% 163.96/163.66 [8441]~P128(x84411)+P107(f316(f316(f225(x84411),x84412),x84413))+~P107(f316(f316(f225(x84411),f2(x84411)),x84414))+~P107(f316(f316(f225(x84411),f316(f316(f75(x84411),x84414),x84412)),f316(f316(f75(x84411),x84414),x84413)))
% 163.96/163.66 [8442]~P132(x84421)+P107(f316(f316(f225(x84421),x84422),x84423))+~P107(f316(f316(f224(x84421),f2(x84421)),x84424))+~P107(f316(f316(f225(x84421),f316(f316(f75(x84421),x84424),x84422)),f316(f316(f75(x84421),x84424),x84423)))
% 163.96/163.66 [8443]~P133(x84431)+P107(f316(f316(f225(x84431),x84432),x84433))+~P107(f316(f316(f224(x84431),f2(x84431)),x84434))+~P107(f316(f316(f225(x84431),f316(f316(f75(x84431),x84434),x84432)),f316(f316(f75(x84431),x84434),x84433)))
% 163.96/163.66 [8444]~P126(x84441)+~P107(f316(f316(f224(x84441),f2(x84441)),x84443))+P107(f316(f316(f225(x84441),x84442),x84443))+~P107(f316(f316(f225(x84441),f316(f316(f233(x84441),x84442),x84444)),f316(f316(f233(x84441),x84443),x84444)))
% 163.96/163.66 [8445]~P132(x84451)+P107(f316(f316(f225(x84451),x84452),x84453))+~P107(f316(f316(f224(x84451),f2(x84451)),x84454))+~P107(f316(f316(f225(x84451),f316(f316(f75(x84451),x84452),x84454)),f316(f316(f75(x84451),x84453),x84454)))
% 163.96/163.66 [8446]~P133(x84461)+P107(f316(f316(f225(x84461),x84462),x84463))+~P107(f316(f316(f224(x84461),f2(x84461)),x84464))+~P107(f316(f316(f225(x84461),f316(f316(f75(x84461),x84462),x84464)),f316(f316(f75(x84461),x84463),x84464)))
% 163.96/163.66 [8490]P107(f316(f316(f318(x84901),x84902),x84903))+~P107(f316(f316(f224(f905(x84901,a895)),x84903),x84904))+~P107(f316(f316(f225(f905(x84901,a895)),x84903),x84904))+P107(f316(f316(f225(f905(x84901,a895)),x84903),f316(f316(f298(x84901),x84902),x84904)))
% 163.96/163.66 [8872]E(f316(f316(f23(a1),f507(x88721,x88722,x88723,x88724)),f508(x88721,x88722,x88723,x88724)),x88724)+~P107(f316(f316(f225(a1),f2(a1)),x88723))+~P107(f316(f316(f224(a1),x88721),x88724))+P107(f316(f316(f224(a1),x88721),f316(f316(f74(a1),x88724),x88723)))
% 163.96/163.66 [8873]E(f316(f316(f23(a1),f516(x88731,x88732,x88733,x88734)),f517(x88731,x88732,x88733,x88734)),x88734)+~P107(f316(f316(f225(a1),f2(a1)),x88733))+~P107(f316(f316(f225(a1),x88731),x88734))+P107(f316(f316(f225(a1),x88731),f316(f316(f74(a1),x88734),x88733)))
% 163.96/163.66 [9023]~E(f316(f316(f154(x90231),x90233),f671(x90234,x90233,x90231,x90232)),f316(f316(f154(x90231),x90234),f671(x90234,x90233,x90231,x90232)))+E(f316(f316(f165(x90231),x90232),x90233),f316(f316(f165(x90231),x90232),x90234))+~P107(f316(f316(f224(a898),x90232),f316(f179(f899(x90231)),x90233)))+~P107(f316(f316(f224(a898),x90232),f316(f179(f899(x90231)),x90234)))
% 163.96/163.66 [9089]~P107(f316(f316(f225(a1),f2(a1)),x90893))+~P107(f316(f316(f224(a1),x90891),x90894))+P107(f316(f316(f318(a1),f507(x90891,x90892,x90893,x90894)),x90892))+P107(f316(f316(f224(a1),x90891),f316(f316(f74(a1),x90894),x90893)))
% 163.96/163.66 [9090]~P107(f316(f316(f225(a1),f2(a1)),x90903))+~P107(f316(f316(f225(a1),x90901),x90904))+P107(f316(f316(f318(a1),f516(x90901,x90902,x90903,x90904)),x90902))+P107(f316(f316(f225(a1),x90901),f316(f316(f74(a1),x90904),x90903)))
% 163.96/163.66 [9130]~P103(x91301)+~P107(f316(f54(x91301),x91303))+~P107(f316(f316(f318(x91301),x91304),x91303))+P107(f316(f316(f224(x91301),f316(f316(f57(x91301,x91301,f91(x91301)),x91302),x91303)),f316(f316(f91(x91301),x91304),x91302)))
% 163.96/163.66 [9131]~P108(x91311)+~P107(f316(f54(x91311),x91313))+~P107(f316(f316(f318(x91311),x91314),x91313))+P107(f316(f316(f224(x91311),f316(f316(f57(x91311,x91311,f222(x91311)),x91312),x91313)),f316(f316(f222(x91311),x91314),x91312)))
% 163.96/163.66 [9175]E(f316(f316(f165(x91751),x91752),x91753),f316(f316(f165(x91751),x91752),x91754))+P107(f316(f316(f225(a898),f671(x91753,x91754,x91751,x91752)),x91752))+~P107(f316(f316(f224(a898),x91752),f316(f179(f899(x91751)),x91753)))+~P107(f316(f316(f224(a898),x91752),f316(f179(f899(x91751)),x91754)))
% 163.96/163.66 [9180]~P107(f316(f316(f225(a1),f2(a1)),x91803))+~P107(f316(f316(f224(a1),x91801),x91802))+P107(f316(f316(f318(a1),f508(x91801,x91804,x91803,x91802)),f292(a1,f72(a1),x91803)))+P107(f316(f316(f224(a1),x91801),f316(f316(f74(a1),x91802),x91803)))
% 163.96/163.66 [9181]~P107(f316(f316(f225(a1),f2(a1)),x91813))+~P107(f316(f316(f225(a1),x91811),x91812))+P107(f316(f316(f318(a1),f517(x91811,x91814,x91813,x91812)),f292(a1,f72(a1),x91813)))+P107(f316(f316(f225(a1),x91811),f316(f316(f74(a1),x91812),x91813)))
% 163.96/163.66 [9504]~P108(x95041)+~P107(f316(f54(x95041),x95044))+P107(f316(f316(f318(x95041),f629(x95042,x95043,x95044,x95041)),x95044))+P107(f316(f316(f224(x95041),f316(f316(f57(x95041,x95041,f223(x95041)),x95042),x95044)),f316(f316(f223(x95041),x95043),x95042)))
% 163.96/163.66 [9505]~P83(x95051)+~P107(f316(f54(x95051),x95054))+P107(f316(f316(f318(x95051),f633(x95052,x95053,x95054,x95051)),x95054))+P107(f316(f316(f224(x95051),f316(f316(f57(x95051,x95051,f100(x95051)),x95052),x95054)),f316(f316(f100(x95051),x95053),x95052)))
% 163.96/163.66 [9639]~P83(x96391)+~P107(f316(f54(x96391),x96393))+~P107(f316(f316(f224(x96391),f633(x96392,x96394,x96393,x96391)),x96394))+P107(f316(f316(f224(x96391),f316(f316(f57(x96391,x96391,f100(x96391)),x96392),x96393)),f316(f316(f100(x96391),x96394),x96392)))
% 163.96/163.66 [9640]~P108(x96401)+~P107(f316(f54(x96401),x96403))+~P107(f316(f316(f224(x96401),f629(x96402,x96404,x96403,x96401)),x96404))+P107(f316(f316(f224(x96401),f316(f316(f57(x96401,x96401,f223(x96401)),x96402),x96403)),f316(f316(f223(x96401),x96404),x96402)))
% 163.96/163.66 [9642]~P107(f316(f316(f224(a1),f2(a1)),x96424))+~P107(f316(f316(f225(a1),f2(a1)),x96423))+~P107(f316(f316(f225(a1),x96424),x96421))+P107(f316(f316(f225(a1),f316(f316(f74(a1),f316(f316(f75(a1),x96421),f38(a1,x96422,x96423))),x96424)),f316(f316(f75(a1),x96421),x96423)))
% 163.96/163.66 [10032]E(x100321,x100322)+P107(f316(f316(f318(f904(f899(x100323),f899(x100323))),f316(f316(f241(f899(x100323),f899(x100323)),x100322),x100321)),f137(x100323,x100324)))+P107(f316(f316(f318(f904(f899(x100323),f899(x100323))),f316(f316(f241(f899(x100323),f899(x100323)),x100321),x100322)),f137(x100323,x100324)))+~P107(f316(f316(f318(f904(x100323,x100323)),f316(f316(f241(x100323,x100323),f648(x100321,x100322,x100324,x100323)),f649(x100321,x100322,x100324,x100323))),x100324))
% 163.96/163.66 [10033]E(x100331,x100332)+P107(f316(f316(f318(f904(f899(x100333),f899(x100333))),f316(f316(f241(f899(x100333),f899(x100333)),x100332),x100331)),f137(x100333,x100334)))+P107(f316(f316(f318(f904(f899(x100333),f899(x100333))),f316(f316(f241(f899(x100333),f899(x100333)),x100331),x100332)),f137(x100333,x100334)))+~P107(f316(f316(f318(f904(x100333,x100333)),f316(f316(f241(x100333,x100333),f649(x100331,x100332,x100334,x100333)),f648(x100331,x100332,x100334,x100333))),x100334))
% 163.96/163.66 [7575]~P83(x75751)+~P107(f316(f316(f224(x75751),x75753),x75754))+~P107(f316(f316(f224(x75751),x75752),x75754))+P107(f316(f316(f224(x75751),f316(f316(f100(x75751),x75752),x75753)),x75754))
% 163.96/163.66 [7578]~P108(x75781)+~P107(f316(f316(f224(x75781),x75783),x75784))+~P107(f316(f316(f224(x75781),x75782),x75784))+P107(f316(f316(f224(x75781),f316(f316(f223(x75781),x75782),x75783)),x75784))
% 163.96/163.66 [7579]~P108(x75791)+~P107(f316(f316(f225(x75791),x75793),x75794))+~P107(f316(f316(f225(x75791),x75792),x75794))+P107(f316(f316(f225(x75791),f316(f316(f223(x75791),x75792),x75793)),x75794))
% 163.96/163.66 [7816]~P62(x78161)+E(f316(f316(f74(x78161),f316(f316(f29(x78161),x78162),x78163)),f316(f316(f29(x78161),x78164),x78163)),f316(f316(f29(x78161),f316(f316(f74(x78161),x78162),x78164)),x78163))+~P107(f316(f316(f276(x78161),x78163),x78164))+~P107(f316(f316(f276(x78161),x78163),x78162))
% 163.96/163.66 [7898]~E(x78981,x78983)+E(f129(a898,f316(f291(a898,x78981),x78982)),f316(f316(f141(a898),x78983),x78984))+~E(f129(a898,f316(f291(a898,f316(f316(f74(a898),x78981),f72(a898))),x78982)),x78984)+~P107(f316(f316(f225(a898),x78981),x78982))
% 163.96/163.66 [7906]~P108(x79061)+P107(f316(f316(f224(x79061),x79062),x79063))+P107(f316(f316(f224(x79061),x79064),x79063))+~P107(f316(f316(f224(x79061),f316(f316(f222(x79061),x79064),x79062)),x79063))
% 163.96/163.66 [7907]~P108(x79071)+P107(f316(f316(f225(x79071),x79072),x79073))+P107(f316(f316(f225(x79071),x79074),x79073))+~P107(f316(f316(f225(x79071),f316(f316(f222(x79071),x79074),x79072)),x79073))
% 163.96/163.66 [8186]~P67(x81861)+~P107(f316(f316(f225(x81861),f2(x81861)),x81863))+~P107(f316(f316(f224(x81861),x81862),f316(f316(f280(x81861),x81864),x81863)))+P107(f316(f316(f224(x81861),f316(f316(f75(x81861),x81862),x81863)),x81864))
% 163.96/163.66 [8187]~P68(x81871)+~P107(f316(f316(f225(x81871),f2(x81871)),x81873))+~P107(f316(f316(f224(x81871),x81872),f316(f316(f280(x81871),x81874),x81873)))+P107(f316(f316(f224(x81871),f316(f316(f75(x81871),x81872),x81873)),x81874))
% 163.96/163.66 [8188]~P67(x81881)+~P107(f316(f316(f225(x81881),f2(x81881)),x81883))+~P107(f316(f316(f224(x81881),x81882),f316(f316(f75(x81881),x81884),x81883)))+P107(f316(f316(f224(x81881),f316(f316(f280(x81881),x81882),x81883)),x81884))
% 163.96/163.66 [8190]~P68(x81901)+~P107(f316(f316(f225(x81901),f2(x81901)),x81903))+~P107(f316(f316(f224(x81901),x81902),f316(f316(f75(x81901),x81904),x81903)))+P107(f316(f316(f224(x81901),f316(f316(f280(x81901),x81902),x81903)),x81904))
% 163.96/163.66 [8191]~P67(x81911)+~P107(f316(f316(f225(x81911),f2(x81911)),x81913))+~P107(f316(f316(f225(x81911),x81912),f316(f316(f280(x81911),x81914),x81913)))+P107(f316(f316(f225(x81911),f316(f316(f75(x81911),x81912),x81913)),x81914))
% 163.96/163.66 [8192]~P68(x81921)+~P107(f316(f316(f225(x81921),f2(x81921)),x81923))+~P107(f316(f316(f225(x81921),x81922),f316(f316(f280(x81921),x81924),x81923)))+P107(f316(f316(f225(x81921),f316(f316(f75(x81921),x81922),x81923)),x81924))
% 163.96/163.66 [8193]~P67(x81931)+~P107(f316(f316(f225(x81931),f2(x81931)),x81933))+~P107(f316(f316(f225(x81931),x81932),f316(f316(f75(x81931),x81934),x81933)))+P107(f316(f316(f225(x81931),f316(f316(f280(x81931),x81932),x81933)),x81934))
% 163.96/163.66 [8195]~P68(x81951)+~P107(f316(f316(f225(x81951),f2(x81951)),x81953))+~P107(f316(f316(f225(x81951),x81952),f316(f316(f75(x81951),x81954),x81953)))+P107(f316(f316(f225(x81951),f316(f316(f280(x81951),x81952),x81953)),x81954))
% 163.96/163.66 [8323]~P67(x83231)+~P107(f316(f316(f225(x83231),f2(x83231)),x83234))+P107(f316(f316(f224(x83231),x83232),f316(f316(f75(x83231),x83233),x83234)))+~P107(f316(f316(f224(x83231),f316(f316(f280(x83231),x83232),x83234)),x83233))
% 163.96/163.66 [8324]~P67(x83241)+~P107(f316(f316(f225(x83241),f2(x83241)),x83244))+P107(f316(f316(f224(x83241),x83242),f316(f316(f280(x83241),x83243),x83244)))+~P107(f316(f316(f224(x83241),f316(f316(f75(x83241),x83242),x83244)),x83243))
% 163.96/163.66 [8326]~P68(x83261)+~P107(f316(f316(f225(x83261),f2(x83261)),x83264))+P107(f316(f316(f224(x83261),x83262),f316(f316(f75(x83261),x83263),x83264)))+~P107(f316(f316(f224(x83261),f316(f316(f280(x83261),x83262),x83264)),x83263))
% 163.96/163.66 [8327]~P68(x83271)+~P107(f316(f316(f225(x83271),f2(x83271)),x83274))+P107(f316(f316(f224(x83271),x83272),f316(f316(f280(x83271),x83273),x83274)))+~P107(f316(f316(f224(x83271),f316(f316(f75(x83271),x83272),x83274)),x83273))
% 163.96/163.66 [8328]~P67(x83281)+~P107(f316(f316(f225(x83281),f2(x83281)),x83284))+P107(f316(f316(f225(x83281),x83282),f316(f316(f75(x83281),x83283),x83284)))+~P107(f316(f316(f225(x83281),f316(f316(f280(x83281),x83282),x83284)),x83283))
% 163.96/163.66 [8329]~P67(x83291)+~P107(f316(f316(f225(x83291),f2(x83291)),x83294))+P107(f316(f316(f225(x83291),x83292),f316(f316(f280(x83291),x83293),x83294)))+~P107(f316(f316(f225(x83291),f316(f316(f75(x83291),x83292),x83294)),x83293))
% 163.96/163.66 [8331]~P68(x83311)+~P107(f316(f316(f225(x83311),f2(x83311)),x83314))+P107(f316(f316(f225(x83311),x83312),f316(f316(f75(x83311),x83313),x83314)))+~P107(f316(f316(f225(x83311),f316(f316(f280(x83311),x83312),x83314)),x83313))
% 163.96/163.66 [8332]~P68(x83321)+~P107(f316(f316(f225(x83321),f2(x83321)),x83324))+P107(f316(f316(f225(x83321),x83322),f316(f316(f280(x83321),x83323),x83324)))+~P107(f316(f316(f225(x83321),f316(f316(f75(x83321),x83322),x83324)),x83323))
% 163.96/163.66 [8493]~P68(x84931)+~P107(f316(f316(f225(x84931),x84933),f2(x84931)))+~P107(f316(f316(f224(x84931),f316(f316(f280(x84931),x84934),x84933)),x84932))+P107(f316(f316(f224(x84931),f316(f316(f75(x84931),x84932),x84933)),x84934))
% 163.96/163.66 [8494]~P68(x84941)+~P107(f316(f316(f225(x84941),x84943),f2(x84941)))+~P107(f316(f316(f224(x84941),f316(f316(f75(x84941),x84944),x84943)),x84942))+P107(f316(f316(f224(x84941),f316(f316(f280(x84941),x84942),x84943)),x84944))
% 163.96/163.66 [8495]~P68(x84951)+~P107(f316(f316(f225(x84951),x84953),f2(x84951)))+~P107(f316(f316(f225(x84951),f316(f316(f280(x84951),x84954),x84953)),x84952))+P107(f316(f316(f225(x84951),f316(f316(f75(x84951),x84952),x84953)),x84954))
% 163.96/163.66 [8496]~P68(x84961)+~P107(f316(f316(f225(x84961),x84963),f2(x84961)))+~P107(f316(f316(f225(x84961),f316(f316(f75(x84961),x84964),x84963)),x84962))+P107(f316(f316(f225(x84961),f316(f316(f280(x84961),x84962),x84963)),x84964))
% 163.96/163.66 [8508]~P107(f316(x85081,x85084))+~P107(f316(f316(f225(a898),x85082),f316(f316(f75(a898),x85083),f316(a102,x85084))))+P107(f316(x85081,f316(f316(f29(a898),x85082),x85083)))+~P107(f316(f316(f224(a898),f316(f316(f75(a898),x85083),x85084)),x85082))
% 163.96/163.66 [8717]~P83(x87171)+~P107(f316(f54(x87171),x87174))+~P107(f316(f316(f318(x87171),x87172),x87174))+P107(f316(f316(f224(x87171),f316(f316(f100(x87171),x87172),x87173)),f316(f316(f57(x87171,x87171,f100(x87171)),x87173),x87174)))
% 163.96/163.66 [8718]~P108(x87181)+~P107(f316(f54(x87181),x87184))+~P107(f316(f316(f318(x87181),x87182),x87184))+P107(f316(f316(f224(x87181),f316(f316(f223(x87181),x87182),x87183)),f316(f316(f57(x87181,x87181,f223(x87181)),x87183),x87184)))
% 163.96/163.66 [8874]~P107(f316(f54(x88741),x88742))+E(f316(f28(x88741),f316(f316(f23(f905(x88741,a895)),x88742),f316(f316(f298(x88741),x88743),x88744))),f316(f316(f23(a898),f316(f28(x88741),f316(f316(f23(f905(x88741,a895)),x88742),x88744))),f72(a898)))+P107(f316(f316(f318(x88741),x88743),x88744))+~P107(f316(f316(f318(x88741),x88743),x88742))
% 163.96/163.66 [8951]E(f316(f316(f74(a1),f509(x89511,x89512,x89513,x89514)),f510(x89511,x89512,x89513,x89514)),x89514)+~P107(f316(f316(f225(a1),f2(a1)),x89513))+~P107(f316(f316(f224(a1),x89514),x89511))+P107(f316(f316(f224(a1),f316(f316(f23(a1),x89514),x89513)),x89511))
% 163.96/163.66 [8952]E(f316(f316(f74(a1),f518(x89521,x89522,x89523,x89524)),f519(x89521,x89522,x89523,x89524)),x89524)+~P107(f316(f316(f225(a1),f2(a1)),x89523))+~P107(f316(f316(f225(a1),x89524),x89521))+P107(f316(f316(f225(a1),f316(f316(f23(a1),x89524),x89523)),x89521))
% 163.96/163.66 [9160]~P107(f316(f316(f225(a1),f2(a1)),x91603))+~P107(f316(f316(f224(a1),x91604),x91601))+P107(f316(f316(f318(a1),f509(x91601,x91602,x91603,x91604)),x91602))+P107(f316(f316(f224(a1),f316(f316(f23(a1),x91604),x91603)),x91601))
% 163.96/163.66 [9161]~P107(f316(f316(f225(a1),f2(a1)),x91613))+~P107(f316(f316(f225(a1),x91614),x91611))+P107(f316(f316(f318(a1),f518(x91611,x91612,x91613,x91614)),x91612))+P107(f316(f316(f225(a1),f316(f316(f23(a1),x91614),x91613)),x91611))
% 163.96/163.66 [9247]~P107(f316(f316(f225(a1),f2(a1)),x92472))+~P107(f316(f316(f224(a1),x92471),x92473))+P107(f316(f316(f318(a1),f510(x92473,x92474,x92472,x92471)),f292(a1,f72(a1),x92472)))+P107(f316(f316(f224(a1),f316(f316(f23(a1),x92471),x92472)),x92473))
% 163.96/163.66 [9248]~P107(f316(f316(f225(a1),f2(a1)),x92482))+~P107(f316(f316(f225(a1),x92481),x92483))+P107(f316(f316(f318(a1),f519(x92483,x92484,x92482,x92481)),f292(a1,f72(a1),x92482)))+P107(f316(f316(f225(a1),f316(f316(f23(a1),x92481),x92482)),x92483))
% 163.96/163.66 [9266]~P107(f316(f316(f224(a1),f2(a1)),x92664))+~P107(f316(f316(f225(a1),f2(a1)),x92663))+~P107(f316(f316(f225(a1),x92664),x92661))+P107(f316(f316(f224(a1),f2(a1)),f316(f316(f74(a1),f316(f316(f75(a1),x92661),f38(a1,x92662,x92663))),x92664)))
% 163.96/163.66 [9295]E(x92951,x92952)+~P38(x92953,x92954)+~P107(f316(f316(f318(f904(x92953,x92953)),f316(f316(f241(x92953,x92953),x92952),x92951)),x92954))+~P107(f316(f316(f318(f904(x92953,x92953)),f316(f316(f241(x92953,x92953),x92951),x92952)),x92954))
% 163.96/163.66 [9328]~P103(x93281)+~P107(f316(f54(x93281),x93284))+~P107(f316(f316(f224(x93281),x93282),f627(x93283,x93282,x93284,x93281)))+P107(f316(f316(f224(x93281),f316(f316(f91(x93281),x93282),x93283)),f316(f316(f57(x93281,x93281,f91(x93281)),x93283),x93284)))
% 163.96/163.66 [9329]~P108(x93291)+~P107(f316(f54(x93291),x93294))+~P107(f316(f316(f224(x93291),x93292),f628(x93293,x93292,x93294,x93291)))+P107(f316(f316(f224(x93291),f316(f316(f222(x93291),x93292),x93293)),f316(f316(f57(x93291,x93291,f222(x93291)),x93293),x93294)))
% 163.96/163.66 [9344]~P107(f316(f316(f224(a1),x93444),f2(a1)))+~P107(f316(f316(f225(a1),f2(a1)),x93442))+~P107(f316(f316(f225(a1),x93441),x93444))+P107(f316(f316(f225(a1),f316(f316(f75(a1),x93441),x93442)),f316(f316(f74(a1),f316(f316(f75(a1),x93441),f38(a1,x93443,x93442))),x93444)))
% 163.96/163.66 [9370]P107(f316(f54(x93701),x93702))+~P107(f316(f54(x93701),x93703))+~P107(f316(f316(f318(f905(x93701,a895)),x93702),f316(f316(f53(x93701),x93703),x93704)))+~P107(f316(f316(f224(f905(f904(x93701,x93701),a895)),x93704),f316(f316(f243(x93701,x93701),x93703),f316(f16(f905(x93701,a895),x93701),x93703))))
% 163.96/163.66 [9394]~P108(x93941)+~P107(f316(f54(x93941),x93944))+P107(f316(f316(f318(x93941),f628(x93942,x93943,x93944,x93941)),x93944))+P107(f316(f316(f224(x93941),f316(f316(f222(x93941),x93943),x93942)),f316(f316(f57(x93941,x93941,f222(x93941)),x93942),x93944)))
% 163.96/163.66 [9395]~P103(x93951)+~P107(f316(f54(x93951),x93954))+P107(f316(f316(f318(x93951),f627(x93952,x93953,x93954,x93951)),x93954))+P107(f316(f316(f224(x93951),f316(f316(f91(x93951),x93953),x93952)),f316(f316(f57(x93951,x93951,f91(x93951)),x93952),x93954)))
% 163.96/163.66 [9806]~P107(f316(f54(x98062),x98064))+~P107(f316(f54(x98061),x98063))+~P107(f316(f316(f224(a898),f316(f28(x98062),x98064)),f316(f28(x98061),x98063)))+P107(f316(f316(f224(f905(x98061,a895)),f316(f299(x98062,x98061,f360(x98063,x98061,x98064,x98062)),x98064)),x98063))
% 163.96/163.66 [9445]~P107(f316(f316(f318(x94451),x94452),x94454))+P107(f316(f316(f318(x94451),x94452),x94453))+~P107(f316(f316(f225(f905(x94451,a895)),x94454),f316(f316(f298(x94451),x94452),x94453)))+P107(f316(f316(f225(f905(x94451,a895)),f316(f316(f23(f905(x94451,a895)),x94454),f316(f316(f298(x94451),x94452),f178(f905(x94451,a895))))),x94453))
% 163.96/163.66 [9620]~P107(f316(f316(f318(x96201),x96202),x96204))+P107(f316(f316(f318(x96201),x96202),x96203))+P107(f316(f316(f225(f905(x96201,a895)),x96204),f316(f316(f298(x96201),x96202),x96203)))+~P107(f316(f316(f225(f905(x96201,a895)),f316(f316(f23(f905(x96201,a895)),x96204),f316(f316(f298(x96201),x96202),f178(f905(x96201,a895))))),x96203))
% 163.96/163.66 [9645]P107(f316(f316(f318(x96451),x96452),x96453))+~P107(f316(f316(f224(f905(x96451,a895)),x96454),x96453))+P107(f316(f316(f225(f905(x96451,a895)),x96454),f316(f316(f298(x96451),x96452),x96453)))+~P107(f316(f316(f225(f905(x96451,a895)),f316(f316(f23(f905(x96451,a895)),x96454),f316(f316(f298(x96451),x96452),f178(f905(x96451,a895))))),x96453))
% 163.96/163.66 [9650]~P107(f316(f316(f318(x96501),x96503),x96502))+~P107(f316(f316(f225(f905(x96501,a895)),x96502),x96504))+P107(f316(f316(f225(f905(x96501,a895)),x96502),f316(f316(f298(x96501),x96503),x96504)))+~P107(f316(f316(f225(f905(x96501,a895)),f316(f316(f23(f905(x96501,a895)),x96502),f316(f316(f298(x96501),x96503),f178(f905(x96501,a895))))),x96504))
% 163.96/163.66 [9666]~P107(f316(f316(f224(f905(x96661,a895)),x96662),x96664))+~P107(f316(f316(f225(f905(x96661,a895)),x96662),x96664))+P107(f316(f316(f225(f905(x96661,a895)),x96662),f316(f316(f298(x96661),x96663),x96664)))+~P107(f316(f316(f225(f905(x96661,a895)),f316(f316(f23(f905(x96661,a895)),x96662),f316(f316(f298(x96661),x96663),f178(f905(x96661,a895))))),x96664))
% 163.96/163.66 [9711]~P111(x97112)+~P64(x97111)+~P107(f316(f316(f224(f905(x97111,x97112)),x97113),x97114))+P107(f316(f50(x97111),f316(f316(f18(x97111,x97112,a895),f316(f316(f8(x97112,f905(x97112,a895),x97111),f224(x97112)),x97113)),x97114)))
% 163.96/163.66 [9856]~P111(x98562)+~P64(x98561)+P107(f316(f316(f224(f905(x98561,x98562)),x98563),x98564))+~P107(f316(f50(x98561),f316(f316(f18(x98561,x98562,a895),f316(f316(f8(x98562,f905(x98562,a895),x98561),f224(x98562)),x98563)),x98564)))
% 163.96/163.66 [10023]E(f316(f316(f154(x100231),f316(f316(f154(f899(x100231)),f169(x100231,x100232)),x100233)),x100234),f316(f316(f154(x100231),f316(f316(f154(f899(x100231)),x100232),x100234)),x100233))+~P107(f316(f316(f225(a898),x100233),f316(f179(f899(f899(x100231))),f169(x100231,x100232))))+~P10(a898,f316(f158(a898),f316(f316(f144(f899(x100231),a898),f179(f899(x100231))),x100232)))+~P107(f316(f316(f225(a898),x100234),f316(f179(f899(f899(x100231))),f316(f126(f899(x100231),f316(f316(f8(a898,a895,f899(x100231)),f316(f225(a898),x100233)),f179(f899(x100231)))),x100232))))
% 163.96/163.66 [10044]~P107(f316(f316(f318(f904(a898,a898)),x100444),x100441))+~P107(f316(f316(f318(f904(f904(a898,a898),f904(a898,a898))),f316(f316(f241(f904(a898,a898),f904(a898,a898)),x100444),x100442)),a26))+~P107(f316(f316(f318(f904(f905(f904(a898,a898),a895),f905(f904(a898,a898),a895))),f316(f316(f241(f905(f904(a898,a898),a895),f905(f904(a898,a898),a895)),x100441),x100443)),a62))+P107(f316(f316(f318(f904(f905(f904(a898,a898),a895),f905(f904(a898,a898),a895))),f316(f316(f241(f905(f904(a898,a898),a895),f905(f904(a898,a898),a895)),x100441),f316(f316(f298(f904(a898,a898)),x100442),x100443))),a62))
% 163.96/163.66 [10045]~P107(f316(f316(f318(f904(a898,a898)),x100454),x100451))+~P107(f316(f316(f318(f904(f904(a898,a898),f904(a898,a898))),f316(f316(f241(f904(a898,a898),f904(a898,a898)),x100454),x100452)),a64))+~P107(f316(f316(f318(f904(f905(f904(a898,a898),a895),f905(f904(a898,a898),a895))),f316(f316(f241(f905(f904(a898,a898),a895),f905(f904(a898,a898),a895)),x100451),x100453)),a65))+P107(f316(f316(f318(f904(f905(f904(a898,a898),a895),f905(f904(a898,a898),a895))),f316(f316(f241(f905(f904(a898,a898),a895),f905(f904(a898,a898),a895)),x100451),f316(f316(f298(f904(a898,a898)),x100452),x100453))),a65))
% 163.96/163.66 [9934]~P111(x99342)+~P64(x99341)+~P107(f316(f316(f225(f905(x99341,x99342)),x99343),x99344))+P107(f316(f49(x99341),f316(f316(f8(a895,a895,x99341),a311),f316(f316(f18(x99341,x99342,a895),f316(f316(f8(x99342,f905(x99342,a895),x99341),a313),x99343)),x99344))))
% 163.96/163.66 [10056]~P107(f316(f316(f318(f904(a898,a898)),x100564),x100563))+~P107(f316(f316(f318(f904(f904(a898,a898),f904(a898,a898))),f316(f316(f241(f904(a898,a898),f904(a898,a898)),x100561),x100564)),a26))+~P107(f316(f316(f318(f904(f905(f904(a898,a898),a895),f905(f904(a898,a898),a895))),f316(f316(f241(f905(f904(a898,a898),a895),f905(f904(a898,a898),a895)),x100562),x100563)),a27))+P107(f316(f316(f318(f904(f905(f904(a898,a898),a895),f905(f904(a898,a898),a895))),f316(f316(f241(f905(f904(a898,a898),a895),f905(f904(a898,a898),a895)),f316(f316(f298(f904(a898,a898)),x100561),x100562)),x100563)),a27))
% 163.96/163.66 [10057]~P107(f316(f316(f318(f904(a898,a898)),x100574),x100573))+~P107(f316(f316(f318(f904(f904(a898,a898),f904(a898,a898))),f316(f316(f241(f904(a898,a898),f904(a898,a898)),x100571),x100574)),a64))+~P107(f316(f316(f318(f904(f905(f904(a898,a898),a895),f905(f904(a898,a898),a895))),f316(f316(f241(f905(f904(a898,a898),a895),f905(f904(a898,a898),a895)),x100572),x100573)),a63))+P107(f316(f316(f318(f904(f905(f904(a898,a898),a895),f905(f904(a898,a898),a895))),f316(f316(f241(f905(f904(a898,a898),a895),f905(f904(a898,a898),a895)),f316(f316(f298(f904(a898,a898)),x100571),x100572)),x100573)),a63))
% 163.96/163.66 [6139]~P4(x61394,x61391)+~P107(f316(f316(x61391,x61392),x61395))+P107(f316(f316(x61391,x61392),x61393))+~P107(f316(f316(x61391,x61395),x61393))
% 163.96/163.66 [6140]~P48(x61404,x61401)+~P107(f316(f316(x61401,x61402),x61405))+P107(f316(f316(x61401,x61402),x61403))+~P107(f316(f316(x61401,x61405),x61403))
% 163.96/163.66 [6141]~P12(x61414,x61411)+~P107(f316(f316(x61411,x61412),x61415))+P107(f316(f316(x61411,x61412),x61413))+~P107(f316(f316(x61411,x61415),x61413))
% 163.96/163.66 [8859]~P4(x88594,x88593)+~P107(f316(x88591,x88595))+P107(f316(x88592,f825(x88592,x88591,x88593,x88594)))+P107(f316(x88591,f824(x88592,x88591,x88593,x88594)))
% 163.96/163.66 [9097]~P4(x90974,x90973)+~P107(f316(x90972,x90975))+~P107(f316(x90971,f824(x90971,x90972,x90973,x90974)))+P107(f316(x90971,f825(x90971,x90972,x90973,x90974)))
% 163.96/163.66 [9279]~P4(x92794,x92793)+~P107(f316(x92791,x92795))+P107(f316(f316(f318(x92794),f825(x92792,x92791,x92793,x92794)),f259(x92794,x92793)))+P107(f316(x92791,f824(x92792,x92791,x92793,x92794)))
% 163.96/163.66 [9403]~P4(x94031,x94034)+~P107(f316(x94033,x94035))+~P107(f316(x94032,f824(x94032,x94033,x94034,x94031)))+P107(f316(f316(f318(x94031),f825(x94032,x94033,x94034,x94031)),f259(x94031,x94034)))
% 163.96/163.66 [9700]~P37(x97001,x97004)+P107(f316(f316(f318(f904(f899(x97001),f899(x97001))),f316(f316(f241(f899(x97001),f899(x97001)),x97002),x97003)),f137(x97001,x97004)))+~P107(f316(f316(f318(f904(f899(x97001),f899(x97001))),f316(f316(f241(f899(x97001),f899(x97001)),x97002),x97005)),f137(x97001,x97004)))+~P107(f316(f316(f318(f904(f899(x97001),f899(x97001))),f316(f316(f241(f899(x97001),f899(x97001)),x97005),x97003)),f137(x97001,x97004)))
% 163.96/163.66 [5365]~P60(x53655)+E(x53651,x53652)+~E(x53653,x53654)+~E(f316(f316(f23(x53655),x53653),x53654),f316(f316(f23(x53655),x53651),x53652))
% 163.96/163.66 [6256]~P14(x62565,x62561,x62563)+E(f316(f316(x62561,x62562),f316(x62563,x62564)),f316(x62563,x62564))+~P107(f316(f54(x62565),x62564))+~P107(f316(f316(f318(x62565),x62562),x62564))
% 163.96/163.66 [6449]~P79(x64491)+~E(f316(f316(f23(x64491),x64494),x64495),f316(f316(f23(x64491),x64492),x64493))+~P107(f316(f316(f224(x64491),x64494),x64495))+P107(f316(f316(f224(x64491),x64492),x64493))
% 163.96/163.66 [6451]~P79(x64511)+~E(f316(f316(f23(x64511),x64514),x64515),f316(f316(f23(x64511),x64512),x64513))+~P107(f316(f316(f225(x64511),x64514),x64515))+P107(f316(f316(f225(x64511),x64512),x64513))
% 163.96/163.66 [7441]~E(x74412,f316(f316(f141(x74411),x74414),x74415))+P107(f316(f316(f318(f899(x74411)),x74412),f151(x74411,x74413)))+~P107(f316(f316(f318(f899(x74411)),x74415),f151(x74411,x74413)))+~P107(f316(f316(f318(x74411),x74414),x74413))
% 163.96/163.66 [7847]~E(f316(f179(f899(x78471)),x78473),f316(f179(f899(x78472)),x78474))+~E(f316(f316(f144(f904(x78471,x78472),x78472),f245(x78471,x78472)),x78475),x78474)+~E(f316(f316(f144(f904(x78471,x78472),x78471),f240(x78471,x78472)),x78475),x78473)+E(f316(f316(f171(x78471,x78472),x78473),x78474),x78475)
% 163.96/163.66 [8182]~P111(x81821)+P107(f316(f316(f225(f905(x81821,a895)),f292(x81821,x81822,x81823)),f292(x81821,x81824,x81825)))+~P107(f316(f316(f224(x81821),x81824),x81825))+P107(f316(f316(f224(x81821),x81822),x81823))
% 163.96/163.66 [8281]~P111(x82811)+P107(f316(f316(f224(f905(x82811,a895)),f292(x82811,x82812,x82813)),f292(x82811,x82814,x82815)))+~P107(f316(f316(f224(x82811),x82813),x82815))+~P107(f316(f316(f224(x82811),x82814),x82812))
% 163.96/163.66 [8400]~P108(x84001)+P107(f316(f316(f224(x84001),x84002),x84003))+P107(f316(f316(f224(x84001),x84004),x84003))+~P107(f316(f316(f224(f905(x84001,a895)),f316(f291(x84001,x84003),x84002)),f316(f291(x84001,x84004),x84005)))
% 163.96/163.66 [8401]~P108(x84011)+P107(f316(f316(f224(x84011),x84012),x84013))+P107(f316(f316(f224(x84011),x84012),x84014))+~P107(f316(f316(f224(f905(x84011,a895)),f316(f291(x84011,x84013),x84012)),f316(f291(x84011,x84015),x84014)))
% 163.96/163.66 [8632]~P111(x86321)+~P107(f316(f316(f224(f905(x86321,a895)),f292(x86321,x86324,x86322)),f292(x86321,x86325,x86323)))+P107(f316(f316(f224(x86321),x86322),x86323))+~P107(f316(f316(f224(x86321),x86324),x86322))
% 163.96/163.66 [8633]~P111(x86331)+~P107(f316(f316(f225(f905(x86331,a895)),f292(x86331,x86334,x86332)),f292(x86331,x86335,x86333)))+P107(f316(f316(f224(x86331),x86332),x86333))+~P107(f316(f316(f224(x86331),x86334),x86332))
% 163.96/163.66 [8634]~P111(x86341)+~P107(f316(f316(f224(f905(x86341,a895)),f292(x86341,x86343,x86344)),f292(x86341,x86342,x86345)))+P107(f316(f316(f224(x86341),x86342),x86343))+~P107(f316(f316(f224(x86341),x86343),x86344))
% 163.96/163.66 [8635]~P111(x86351)+~P107(f316(f316(f225(f905(x86351,a895)),f292(x86351,x86353,x86354)),f292(x86351,x86352,x86355)))+P107(f316(f316(f224(x86351),x86352),x86353))+~P107(f316(f316(f224(x86351),x86353),x86354))
% 163.96/163.66 [6138]~P14(x61382,x61385,x61383)+E(x61381,f178(f905(x61382,a895)))+~P107(f316(f54(x61382),x61381))+E(f316(x61383,f316(f316(f298(x61382),x61384),x61381)),f316(f316(x61385,x61384),f316(x61383,x61381)))
% 163.96/163.66 [6931]~E(x69311,x69312)+~E(f316(f316(f91(f905(x69313,a895)),x69314),x69315),f178(f905(x69313,a895)))+~P107(f316(f316(f318(x69313),x69312),x69315))+~P107(f316(f316(f318(x69313),x69311),x69314))
% 163.96/163.66 [7011]~P15(x70112,x70115,x70111)+~P107(f316(f54(x70112),x70114))+E(f316(x70111,f316(f316(f298(x70112),x70113),x70114)),f316(f316(f57(x70112,x70112,x70115),x70113),x70114))+P107(f316(f316(f318(x70112),x70113),x70114))
% 163.96/163.66 [7079]~P72(x70792)+~P107(f316(f54(x70791),x70795))+E(f316(f316(f9(x70791,x70792),x70793),f316(f316(f298(x70791),x70794),x70795)),f316(f316(f75(x70792),f316(x70793,x70794)),f316(f316(f9(x70791,x70792),x70793),x70795)))+P107(f316(f316(f318(x70791),x70794),x70795))
% 163.96/163.66 [7081]~P76(x70812)+~P107(f316(f54(x70811),x70815))+E(f316(f316(f6(x70811,x70812),x70813),f316(f316(f298(x70811),x70814),x70815)),f316(f316(f74(x70812),f316(x70813,x70814)),f316(f316(f6(x70811,x70812),x70813),x70815)))+P107(f316(f316(f318(x70811),x70814),x70815))
% 163.96/163.66 [7488]~P117(x74881)+~P107(f316(f54(x74884),x74885))+~P107(f316(f316(f318(x74884),x74883),x74885))+P107(f316(f316(f276(x74881),f316(x74882,x74883)),f316(f316(f9(x74884,x74881),x74882),x74885)))
% 163.96/163.66 [7588]~P15(x75882,x75885,x75881)+~P107(f316(f54(x75882),x75884))+E(f316(x75881,f316(f316(f298(x75882),x75883),x75884)),x75883)+~E(f316(f316(f23(f905(x75882,a895)),x75884),f316(f316(f298(x75882),x75883),f178(f905(x75882,a895)))),f178(f905(x75882,a895)))
% 163.96/163.66 [7920]~P117(x79201)+~P107(f316(f316(f276(x79201),x79202),x79204))+~P107(f316(f316(f224(a898),x79203),x79205))+P107(f316(f316(f276(x79201),f316(f316(f233(x79201),x79202),x79203)),f316(f316(f233(x79201),x79204),x79205)))
% 163.96/163.66 [7948]~P62(x79481)+E(f316(f316(f29(x79481),f316(f316(f75(x79481),x79482),x79483)),f316(f316(f75(x79481),x79484),x79485)),f316(f316(f75(x79481),f316(f316(f29(x79481),x79482),x79484)),f316(f316(f29(x79481),x79483),x79485)))+~P107(f316(f316(f276(x79481),x79485),x79483))+~P107(f316(f316(f276(x79481),x79484),x79482))
% 163.96/163.66 [7954]~P83(x79541)+~P107(f316(f316(f224(x79541),x79543),x79545))+~P107(f316(f316(f224(x79541),x79542),x79544))+P107(f316(f316(f224(x79541),f316(f316(f100(x79541),x79542),x79543)),f316(f316(f100(x79541),x79544),x79545)))
% 163.96/163.66 [7955]~P103(x79551)+~P107(f316(f316(f224(x79551),x79553),x79555))+~P107(f316(f316(f224(x79551),x79552),x79554))+P107(f316(f316(f224(x79551),f316(f316(f91(x79551),x79552),x79553)),f316(f316(f91(x79551),x79554),x79555)))
% 163.96/163.66 [7956]~P88(x79561)+~P107(f316(f316(f224(x79561),x79563),x79565))+~P107(f316(f316(f224(x79561),x79562),x79564))+P107(f316(f316(f224(x79561),f316(f316(f74(x79561),x79562),x79563)),f316(f316(f74(x79561),x79564),x79565)))
% 163.96/163.66 [7957]~P108(x79571)+~P107(f316(f316(f224(x79571),x79573),x79575))+~P107(f316(f316(f224(x79571),x79572),x79574))+P107(f316(f316(f224(x79571),f316(f316(f222(x79571),x79572),x79573)),f316(f316(f222(x79571),x79574),x79575)))
% 163.96/163.66 [7958]~P108(x79581)+~P107(f316(f316(f224(x79581),x79583),x79585))+~P107(f316(f316(f224(x79581),x79582),x79584))+P107(f316(f316(f224(x79581),f316(f316(f223(x79581),x79582),x79583)),f316(f316(f223(x79581),x79584),x79585)))
% 163.96/163.66 [7959]~P90(x79591)+~P107(f316(f316(f224(x79591),x79593),x79595))+~P107(f316(f316(f225(x79591),x79592),x79594))+P107(f316(f316(f225(x79591),f316(f316(f74(x79591),x79592),x79593)),f316(f316(f74(x79591),x79594),x79595)))
% 163.96/163.66 [7960]~P90(x79601)+~P107(f316(f316(f224(x79601),x79602),x79604))+~P107(f316(f316(f225(x79601),x79603),x79605))+P107(f316(f316(f225(x79601),f316(f316(f74(x79601),x79602),x79603)),f316(f316(f74(x79601),x79604),x79605)))
% 163.96/163.66 [7961]~P90(x79611)+~P107(f316(f316(f225(x79611),x79613),x79615))+~P107(f316(f316(f225(x79611),x79612),x79614))+P107(f316(f316(f225(x79611),f316(f316(f74(x79611),x79612),x79613)),f316(f316(f74(x79611),x79614),x79615)))
% 163.96/163.66 [7962]~P117(x79621)+~P107(f316(f316(f276(x79621),x79623),x79625))+~P107(f316(f316(f276(x79621),x79622),x79624))+P107(f316(f316(f276(x79621),f316(f316(f75(x79621),x79622),x79623)),f316(f316(f75(x79621),x79624),x79625)))
% 163.96/163.66 [8098]~P142(x80985)+E(x80981,x80982)+E(x80983,x80984)+~E(f316(f316(f74(x80985),f316(f316(f75(x80985),x80983),x80981)),f316(f316(f75(x80985),x80984),x80982)),f316(f316(f74(x80985),f316(f316(f75(x80985),x80983),x80982)),f316(f316(f75(x80985),x80984),x80981)))
% 163.96/163.66 [8301]~P108(x83014)+~P107(f316(f127(x83011),x83013))+P107(f316(f316(f318(x83011),x83012),f316(f162(x83011),x83013)))+P107(f316(f127(x83011),f316(f316(f138(x83011,x83014,x83015),x83012),x83013)))
% 163.96/163.66 [8447]~P60(x84471)+E(f316(f316(f23(x84471),f316(f316(f6(a898,x84471),x84472),f316(f291(a898,x84473),x84474))),f316(f316(f6(a898,x84471),x84472),f316(f291(a898,x84473),x84475))),f316(f316(f6(a898,x84471),x84472),f316(f291(a898,x84475),x84474)))+~P107(f316(f316(f224(a898),x84475),x84474))+~P107(f316(f316(f224(a898),x84473),x84475))
% 163.96/163.66 [8448]~P76(x84481)+E(f316(f316(f74(x84481),f316(f316(f6(a898,x84481),x84482),f316(f291(a898,x84483),x84484))),f316(f316(f6(a898,x84481),x84482),f316(f291(a898,x84484),x84485))),f316(f316(f6(a898,x84481),x84482),f316(f291(a898,x84483),x84485)))+~P107(f316(f316(f224(a898),x84484),x84485))+~P107(f316(f316(f224(a898),x84483),x84484))
% 163.96/163.66 [8779]~P66(x87792)+E(x87791,f2(x87792))+E(x87793,f2(x87792))+E(f316(f316(f280(x87792),f316(f316(f23(x87792),f316(f316(f75(x87792),x87794),x87791)),f316(f316(f75(x87792),x87795),x87793))),f316(f316(f75(x87792),x87793),x87791)),f316(f316(f23(x87792),f316(f316(f280(x87792),x87794),x87793)),f316(f316(f280(x87792),x87795),x87791)))
% 163.96/163.66 [8780]~P66(x87802)+E(x87801,f2(x87802))+E(x87803,f2(x87802))+E(f316(f316(f280(x87802),f316(f316(f74(x87802),f316(f316(f75(x87802),x87804),x87801)),f316(f316(f75(x87802),x87805),x87803))),f316(f316(f75(x87802),x87803),x87801)),f316(f316(f74(x87802),f316(f316(f280(x87802),x87804),x87803)),f316(f316(f280(x87802),x87805),x87801)))
% 163.96/163.66 [8790]~E(x87902,f316(x87903,x87901))+E(x87901,f869(x87902,x87903,x87904,x87905))+~P22(x87905,x87904,x87903,f231(f905(x87905,a895)))+~P107(f316(f316(f318(x87904),x87902),f316(f299(x87905,x87904,x87903),f231(f905(x87905,a895)))))
% 163.96/163.66 [9007]~P123(x90071)+~P107(f316(f316(f225(x90071),f316(f69(x90071),x90072)),x90074))+P107(f316(f316(f225(x90071),f316(f316(f75(x90071),f316(f69(x90071),x90072)),f316(f69(x90071),x90073))),f316(f316(f75(x90071),x90074),x90075)))+~P107(f316(f316(f225(x90071),f316(f69(x90071),x90073)),x90075))
% 163.96/163.66 [9122]~P22(x91221,x91223,x91225,x91222)+~P107(f316(f54(x91223),x91224))+P107(f316(f316(f224(a898),f316(f28(x91221),x91222)),f316(f28(x91223),x91224)))+~P107(f316(f316(f224(f905(x91223,a895)),f316(f299(x91221,x91223,x91225),x91222)),x91224))
% 163.96/163.66 [9189]~P72(x91892)+~P22(x91891,x91891,x91894,x91895)+~P107(f316(f54(x91891),x91895))+E(f316(f316(f9(x91891,x91892),f316(f66(x91891,x91892,x91891,x91893),x91894)),x91895),f316(f316(f9(x91891,x91892),x91893),f316(f299(x91891,x91891,x91894),x91895)))
% 163.96/163.66 [9190]~P76(x91902)+~P22(x91901,x91901,x91904,x91905)+~P107(f316(f54(x91901),x91905))+E(f316(f316(f6(x91901,x91902),f316(f66(x91901,x91902,x91901,x91903),x91904)),x91905),f316(f316(f6(x91901,x91902),x91903),f316(f299(x91901,x91901,x91904),x91905)))
% 163.96/163.66 [9308]~P36(x93081,x93082)+~P107(f316(f316(f318(x93081),x93083),x93084))+~P107(f316(f316(f318(x93081),x93085),x93084))+~P107(f316(f316(f318(f904(x93081,x93081)),f316(f316(f241(x93081,x93081),x93085),f887(x93082,x93081,x93084))),x93082))
% 163.96/163.66 [9343]~P22(x93432,x93433,x93435,x93431)+E(x93431,f178(f905(x93432,a895)))+E(f316(f299(x93433,x93432,f872(x93434,x93433,x93432,x93431)),x93434),x93431)+~P107(f316(f316(f224(f905(x93433,a895)),f316(f299(x93432,x93433,x93435),x93431)),x93434))
% 163.96/163.66 [9836]~P2(x98365)+~P108(x98365)+P107(f316(f316(f318(x98361),f398(x98362,x98363,x98361,x98364,x98365)),x98363))+~P107(f316(f316(f225(x98365),x98364),f316(f316(f33(x98361,x98365),x98363),x98362)))
% 163.96/163.66 [9841]~P2(x98411)+~P108(x98411)+P107(f316(f316(f225(x98411),x98412),f316(x98413,f398(x98413,x98414,x98415,x98412,x98411))))+~P107(f316(f316(f225(x98411),x98412),f316(f316(f33(x98415,x98411),x98414),x98413)))
% 163.96/163.66 [9921]~P69(x99211)+~P107(f316(f59(x99211,x99211,f75(x99211),x99212,x99213),x99215))+P107(f316(f316(f318(x99211),x99212),x99213))+P107(f316(f59(x99211,x99211,f75(x99211),x99214,f316(f316(f298(x99211),x99212),x99213)),f316(f316(f75(x99211),x99214),x99215)))
% 163.96/163.66 [10136]~P72(x101362)+~P107(f316(f54(x101361),x101365))+E(f316(f316(f9(x101361,x101362),f316(f316(f7(x101361,x101362,x101362),f316(f316(f18(x101361,x101362,f905(x101362,x101362)),f316(f316(f8(a895,f905(x101362,f905(x101362,x101362)),x101361),f86(x101362)),f316(a313,x101363))),x101364)),f72(x101362))),x101365),f72(x101362))+P107(f316(f316(f318(x101361),x101363),x101365))
% 163.96/163.66 [10137]~P76(x101372)+~P107(f316(f54(x101371),x101375))+E(f316(f316(f6(x101371,x101372),f316(f316(f7(x101371,x101372,x101372),f316(f316(f18(x101371,x101372,f905(x101372,x101372)),f316(f316(f8(a895,f905(x101372,f905(x101372,x101372)),x101371),f86(x101372)),f316(a313,x101373))),x101374)),f2(x101372))),x101375),f2(x101372))+P107(f316(f316(f318(x101371),x101373),x101375))
% 163.96/163.66 [10138]~P72(x101382)+~P107(f316(f54(x101381),x101385))+E(f316(f316(f9(x101381,x101382),f316(f316(f7(x101381,x101382,x101382),f316(f316(f18(x101381,x101382,f905(x101382,x101382)),f316(f316(f8(a895,f905(x101382,f905(x101382,x101382)),x101381),f86(x101382)),f316(a313,x101383))),x101384)),f72(x101382))),x101385),f316(x101384,x101383))+~P107(f316(f316(f318(x101381),x101383),x101385))
% 163.96/163.66 [10139]~P76(x101392)+~P107(f316(f54(x101391),x101395))+E(f316(f316(f6(x101391,x101392),f316(f316(f7(x101391,x101392,x101392),f316(f316(f18(x101391,x101392,f905(x101392,x101392)),f316(f316(f8(a895,f905(x101392,f905(x101392,x101392)),x101391),f86(x101392)),f316(a313,x101393))),x101394)),f2(x101392))),x101395),f316(x101394,x101393))+~P107(f316(f316(f318(x101391),x101393),x101395))
% 163.96/163.66 [10197]~P72(x101972)+~P107(f316(f54(x101971),x101975))+E(f316(f316(f9(x101971,x101972),f316(f316(f7(x101971,x101972,x101972),f316(f316(f18(x101971,x101972,f905(x101972,x101972)),f316(f316(f8(a895,f905(x101972,f905(x101972,x101972)),x101971),f86(x101972)),f316(f316(f7(x101971,x101971,a895),a313),x101973))),x101974)),f72(x101972))),x101975),f72(x101972))+P107(f316(f316(f318(x101971),x101973),x101975))
% 163.96/163.66 [10198]~P76(x101982)+~P107(f316(f54(x101981),x101985))+E(f316(f316(f6(x101981,x101982),f316(f316(f7(x101981,x101982,x101982),f316(f316(f18(x101981,x101982,f905(x101982,x101982)),f316(f316(f8(a895,f905(x101982,f905(x101982,x101982)),x101981),f86(x101982)),f316(f316(f7(x101981,x101981,a895),a313),x101983))),x101984)),f2(x101982))),x101985),f2(x101982))+P107(f316(f316(f318(x101981),x101983),x101985))
% 163.96/163.66 [10200]~P72(x102002)+~P107(f316(f54(x102001),x102005))+E(f316(f316(f9(x102001,x102002),f316(f316(f7(x102001,x102002,x102002),f316(f316(f18(x102001,x102002,f905(x102002,x102002)),f316(f316(f8(a895,f905(x102002,f905(x102002,x102002)),x102001),f86(x102002)),f316(f316(f7(x102001,x102001,a895),a313),x102003))),x102004)),f72(x102002))),x102005),f316(x102004,x102003))+~P107(f316(f316(f318(x102001),x102003),x102005))
% 163.96/163.66 [10201]~P76(x102012)+~P107(f316(f54(x102011),x102015))+E(f316(f316(f6(x102011,x102012),f316(f316(f7(x102011,x102012,x102012),f316(f316(f18(x102011,x102012,f905(x102012,x102012)),f316(f316(f8(a895,f905(x102012,f905(x102012,x102012)),x102011),f86(x102012)),f316(f316(f7(x102011,x102011,a895),a313),x102013))),x102014)),f2(x102012))),x102015),f316(x102014,x102013))+~P107(f316(f316(f318(x102011),x102013),x102015))
% 163.96/163.66 [7953]~P60(x79532)+~P107(f316(f54(x79531),x79534))+E(f316(f316(f6(x79531,x79532),x79533),f316(f316(f23(f905(x79531,a895)),x79534),f316(f316(f298(x79531),x79535),f178(f905(x79531,a895))))),f316(f316(f6(x79531,x79532),x79533),x79534))+P107(f316(f316(f318(x79531),x79535),x79534))
% 163.96/163.66 [8455]~P122(x84552)+~P107(f316(f54(x84551),x84554))+E(f316(f316(f6(x84551,x84552),x84553),f316(f316(f23(f905(x84551,a895)),x84554),f316(f316(f298(x84551),x84555),f178(f905(x84551,a895))))),f316(f316(f23(x84552),f316(f316(f6(x84551,x84552),x84553),x84554)),f316(x84553,x84555)))+~P107(f316(f316(f318(x84551),x84555),x84554))
% 163.96/163.66 [8456]~P60(x84562)+~P107(f316(f54(x84561),x84564))+E(f316(f316(f6(x84561,x84562),x84563),f316(f316(f23(f905(x84561,a895)),x84564),f316(f316(f298(x84561),x84565),f178(f905(x84561,a895))))),f316(f316(f23(x84562),f316(f316(f6(x84561,x84562),x84563),x84564)),f316(x84563,x84565)))+~P107(f316(f316(f318(x84561),x84565),x84564))
% 163.96/163.66 [8468]~P117(x84681)+~P107(f316(f316(f224(a898),x84683),x84685))+~P107(f316(f316(f276(x84681),f316(f316(f233(x84681),x84682),x84685)),x84684))+P107(f316(f316(f276(x84681),f316(f316(f233(x84681),x84682),x84683)),x84684))
% 163.96/163.66 [8486]~P60(x84861)+~P107(f316(f54(x84862),x84864))+E(f316(f316(f23(x84861),f316(f316(f6(x84862,x84861),x84863),x84864)),f316(f316(f6(x84862,x84861),x84863),x84865)),f316(f316(f6(x84862,x84861),x84863),f316(f316(f23(f905(x84862,a895)),x84864),x84865)))+~P107(f316(f316(f224(f905(x84862,a895)),x84865),x84864))
% 163.96/163.66 [8505]P107(f316(f54(x85051),f316(x85052,x85053)))+~P107(f316(f54(x85054),x85055))+~P107(f316(f316(f318(x85054),x85053),x85055))+~P107(f316(f54(x85051),f316(f316(f33(x85054,f905(x85051,a895)),x85055),x85052)))
% 163.96/163.66 [8963]~P5(x89631,x89635,x89634)+~E(f316(f274(x89631,x89631,x89634),f316(f316(f298(x89631),x89632),f178(f905(x89631,a895)))),f316(f274(x89631,x89631,x89634),f316(f316(f298(x89631),x89633),f178(f905(x89631,a895)))))+~P107(f316(f316(f318(x89631),x89633),x89635))+P107(f316(f316(f318(f904(x89631,x89631)),f316(f316(f241(x89631,x89631),x89632),x89633)),x89634))
% 163.96/163.66 [9264]~P107(f316(x92641,x92645))+P107(f316(x92641,f697(x92641,x92642,x92643,x92644)))+P107(f316(x92641,f690(x92641,x92642,x92643,x92644)))+~P107(f316(f316(f318(x92644),x92645),f316(f316(f100(f905(x92644,a895)),x92643),x92642)))
% 163.96/163.66 [9450]~P107(f316(x94501,x94505))+P107(f316(x94501,f690(x94501,x94502,x94503,x94504)))+P107(f316(f316(f318(x94504),f697(x94501,x94502,x94503,x94504)),x94502))+~P107(f316(f316(f318(x94504),x94505),f316(f316(f100(f905(x94504,a895)),x94503),x94502)))
% 163.96/163.66 [9451]~P107(f316(x94511,x94515))+P107(f316(x94511,f697(x94511,x94512,x94513,x94514)))+P107(f316(f316(f318(x94514),f690(x94511,x94512,x94513,x94514)),x94513))+~P107(f316(f316(f318(x94514),x94515),f316(f316(f100(f905(x94514,a895)),x94513),x94512)))
% 163.96/163.66 [9455]P107(f316(x94551,x94552))+~P107(f316(x94551,f746(x94551,x94553,x94554,x94555)))+~P107(f316(x94551,f734(x94551,x94553,x94554,x94555)))+~P107(f316(f316(f318(x94555),x94552),f316(f316(f100(f905(x94555,a895)),x94554),x94553)))
% 163.96/163.66 [9460]~P37(x94601,x94604)+~P107(f316(f316(f318(f904(x94601,x94601)),f316(f316(f241(x94601,x94601),x94602),x94605)),x94604))+P107(f316(f316(f318(f904(x94601,x94601)),f316(f316(f241(x94601,x94601),x94602),x94603)),x94604))+~P107(f316(f316(f318(f904(x94601,x94601)),f316(f316(f241(x94601,x94601),x94605),x94603)),x94604))
% 163.96/163.66 [9499]E(x94991,x94992)+~P107(f316(f316(f318(f904(x94993,x94993)),f316(f316(f241(x94993,x94993),x94991),x94992)),f296(x94993,x94995)))+P107(f316(f316(f318(x94993),x94991),x94994))+~P107(f316(f316(f224(f905(f904(x94993,x94993),a895)),x94995),f316(f316(f243(x94993,x94993),x94994),f316(f16(f905(x94993,a895),x94993),x94994))))
% 163.96/163.66 [9517]P107(f316(x95171,x95172))+~P107(f316(x95171,f734(x95171,x95174,x95175,x95173)))+P107(f316(f316(f318(x95173),f746(x95171,x95174,x95175,x95173)),x95174))+~P107(f316(f316(f318(x95173),x95172),f316(f316(f100(f905(x95173,a895)),x95175),x95174)))
% 163.96/163.66 [9518]P107(f316(x95181,x95182))+~P107(f316(x95181,f746(x95181,x95184,x95185,x95183)))+P107(f316(f316(f318(x95183),f734(x95181,x95184,x95185,x95183)),x95185))+~P107(f316(f316(f318(x95183),x95182),f316(f316(f100(f905(x95183,a895)),x95185),x95184)))
% 163.96/163.66 [9584]P107(f316(x95841,x95842))+P107(f316(f316(f318(x95843),f746(x95841,x95844,x95845,x95843)),x95844))+P107(f316(f316(f318(x95843),f734(x95841,x95844,x95845,x95843)),x95845))+~P107(f316(f316(f318(x95843),x95842),f316(f316(f100(f905(x95843,a895)),x95845),x95844)))
% 163.96/163.66 [9586]~P107(f316(x95862,x95865))+P107(f316(f316(f318(x95861),f697(x95862,x95863,x95864,x95861)),x95863))+P107(f316(f316(f318(x95861),f690(x95862,x95863,x95864,x95861)),x95864))+~P107(f316(f316(f318(x95861),x95865),f316(f316(f100(f905(x95861,a895)),x95864),x95863)))
% 163.96/163.66 [9742]~P5(x97421,x97425,x97424)+~P107(f316(f316(f318(x97421),x97423),x97425))+P107(f316(f316(f318(f904(x97421,x97421)),f316(f316(f241(x97421,x97421),x97422),x97423)),x97424))+~P107(f316(f316(f224(f905(x97421,a895)),f316(f274(x97421,x97421,x97424),f316(f316(f298(x97421),x97423),f178(f905(x97421,a895))))),f316(f274(x97421,x97421,x97424),f316(f316(f298(x97421),x97422),f178(f905(x97421,a895))))))
% 163.96/163.66 [9871]~P2(x98715)+~P108(x98715)+P107(f316(f316(f318(x98711),f849(x98712,x98713,x98714,x98711,x98715)),x98714))+~P107(f316(f316(f225(x98715),f316(f316(f32(x98711,x98715),x98714),x98713)),x98712))
% 163.96/163.66 [9904]~P88(x99045)+~P82(x99045)+P107(f316(f316(f318(x99041),f687(x99042,x99043,x99044,x99041,x99045)),f316(f162(x99041),x99044)))+P107(f316(f316(f224(x99045),f316(f155(x99045),f316(f316(f144(x99041,x99045),x99043),x99044))),f316(f155(x99045),f316(f316(f144(x99041,x99045),x99042),x99044))))
% 163.96/163.66 [10013]~P2(x100131)+~P108(x100131)+P107(f316(f316(f225(x100131),f316(x100132,f849(x100133,x100132,x100134,x100135,x100131))),x100133))+~P107(f316(f316(f225(x100131),f316(f316(f32(x100135,x100131),x100134),x100132)),x100133))
% 163.96/163.66 [10154]~P88(x101541)+~P82(x101541)+~P107(f316(f316(f224(x101541),f316(x101543,f687(x101545,x101543,x101544,x101542,x101541))),f316(x101545,f687(x101545,x101543,x101544,x101542,x101541))))+P107(f316(f316(f224(x101541),f316(f155(x101541),f316(f316(f144(x101542,x101541),x101543),x101544))),f316(f155(x101541),f316(f316(f144(x101542,x101541),x101545),x101544))))
% 163.96/163.66 [8802]~P72(x88021)+~P107(f316(f54(x88024),x88025))+~P107(f316(f316(f318(x88024),x88023),x88025))+E(f316(f316(f75(x88021),f316(x88022,x88023)),f316(f316(f9(x88024,x88021),x88022),f316(f316(f23(f905(x88024,a895)),x88025),f316(f316(f298(x88024),x88023),f178(f905(x88024,a895)))))),f316(f316(f9(x88024,x88021),x88022),x88025))
% 163.96/163.66 [8804]~P76(x88041)+~P107(f316(f54(x88044),x88045))+~P107(f316(f316(f318(x88044),x88043),x88045))+E(f316(f316(f74(x88041),f316(x88042,x88043)),f316(f316(f6(x88044,x88041),x88042),f316(f316(f23(f905(x88044,a895)),x88045),f316(f316(f298(x88044),x88043),f178(f905(x88044,a895)))))),f316(f316(f6(x88044,x88041),x88042),x88045))
% 163.96/163.66 [8864]~P15(x88641,x88644,x88645)+~P107(f316(f54(x88641),x88642))+E(f316(f316(f23(f905(x88641,a895)),x88642),f316(f316(f298(x88641),x88643),f178(f905(x88641,a895)))),f178(f905(x88641,a895)))+E(f316(f316(x88644,x88643),f316(x88645,f316(f316(f23(f905(x88641,a895)),x88642),f316(f316(f298(x88641),x88643),f178(f905(x88641,a895)))))),f316(x88645,f316(f316(f298(x88641),x88643),x88642)))
% 163.96/163.66 [9243]~P72(x92431)+~P107(f316(f54(x92432),x92435))+~P107(f316(f54(x92432),x92434))+E(f316(f316(f75(x92431),f316(f316(f9(x92432,x92431),x92433),f316(f316(f100(f905(x92432,a895)),x92434),x92435))),f316(f316(f9(x92432,x92431),x92433),f316(f316(f91(f905(x92432,a895)),x92434),x92435))),f316(f316(f75(x92431),f316(f316(f9(x92432,x92431),x92433),x92434)),f316(f316(f9(x92432,x92431),x92433),x92435)))
% 163.96/163.66 [9244]~P76(x92441)+~P107(f316(f54(x92442),x92445))+~P107(f316(f54(x92442),x92444))+E(f316(f316(f74(x92441),f316(f316(f6(x92442,x92441),x92443),f316(f316(f100(f905(x92442,a895)),x92444),x92445))),f316(f316(f6(x92442,x92441),x92443),f316(f316(f91(f905(x92442,a895)),x92444),x92445))),f316(f316(f74(x92441),f316(f316(f6(x92442,x92441),x92443),x92444)),f316(f316(f6(x92442,x92441),x92443),x92445)))
% 163.96/163.66 [9383]~P60(x93831)+~P107(f316(f54(x93832),x93835))+~P107(f316(f54(x93832),x93834))+E(f316(f316(f23(x93831),f316(f316(f74(x93831),f316(f316(f6(x93832,x93831),x93833),x93834)),f316(f316(f6(x93832,x93831),x93833),x93835))),f316(f316(f6(x93832,x93831),x93833),f316(f316(f91(f905(x93832,a895)),x93834),x93835))),f316(f316(f6(x93832,x93831),x93833),f316(f316(f100(f905(x93832,a895)),x93834),x93835)))
% 163.96/163.66 [9600]~P22(x96001,x96002,x96003,x96005)+~P22(x96001,x96002,x96003,x96004)+P22(x96001,x96002,x96003,f316(f316(f100(f905(x96001,a895)),x96004),x96005))+~E(f316(f316(f91(f905(x96002,a895)),f316(f299(x96001,x96002,x96003),f316(f316(f23(f905(x96001,a895)),x96004),x96005))),f316(f299(x96001,x96002,x96003),f316(f316(f23(f905(x96001,a895)),x96005),x96004))),f178(f905(x96002,a895)))
% 163.96/163.66 [9717]E(x97171,f2(a1))+~P107(f316(f316(f225(a1),f2(a1)),x97173))+~P107(f316(f42(x97172,x97171),f316(f316(f241(a1,a1),x97174),x97175)))+P107(f316(f42(x97172,f316(f316(f75(a1),x97171),x97173)),f316(f316(f241(a1,a1),f316(f316(f29(a1),x97174),x97173)),f316(f316(f74(a1),f316(f316(f75(a1),x97171),f38(a1,x97174,x97173))),x97175))))
% 163.96/163.66 [9725]~P107(f316(f316(f225(a898),f2(a898)),x97253))+~P107(f316(f316(f225(a898),f2(a898)),x97252))+~P107(f316(f41(x97251,x97252),f316(f316(f241(a898,a898),x97254),x97255)))+P107(f316(f41(x97251,f316(f316(f75(a898),x97252),x97253)),f316(f316(f241(a898,a898),f316(f316(f29(a898),x97254),x97253)),f316(f316(f74(a898),f316(f316(f75(a898),x97252),f38(a898,x97254,x97253))),x97255))))
% 163.96/163.66 [9774]~P72(x97741)+~P107(f316(f54(x97742),x97745))+~P107(f316(f54(x97742),x97744))+E(f316(f316(f75(x97741),f316(f316(f316(f58(x97741,x97742,f75(x97741)),x97743),f72(x97741)),f316(f316(f100(f905(x97742,a895)),x97744),x97745))),f316(f316(f316(f58(x97741,x97742,f75(x97741)),x97743),f72(x97741)),f316(f316(f91(f905(x97742,a895)),x97744),x97745))),f316(f316(f75(x97741),f316(f316(f316(f58(x97741,x97742,f75(x97741)),x97743),f72(x97741)),x97744)),f316(f316(f316(f58(x97741,x97742,f75(x97741)),x97743),f72(x97741)),x97745)))
% 163.96/163.66 [9776]~E(f316(f316(f165(x97761),x97765),x97762),f316(f316(f165(x97761),x97765),x97763))+P107(f316(f316(f318(f904(f899(x97761),f899(x97761))),f316(f316(f241(f899(x97761),f899(x97761)),x97762),x97763)),f137(x97761,x97764)))+~P107(f316(f316(f225(a898),x97765),f316(f316(f222(a898),f316(f179(f899(x97761)),x97762)),f316(f179(f899(x97761)),x97763))))+~P107(f316(f316(f318(f904(x97761,x97761)),f316(f316(f241(x97761,x97761),f316(f316(f154(x97761),x97762),x97765)),f316(f316(f154(x97761),x97763),x97765))),x97764))
% 163.96/163.66 [9893]~P88(x98935)+~P146(x98935)+P107(f316(f316(f318(x98931),f520(x98932,x98933,x98934,x98931,x98935)),x98934))+P107(f316(f316(f224(x98935),f316(f316(f6(x98931,x98935),x98933),x98934)),f316(f316(f75(x98935),f316(f90(x98935),f316(f28(x98931),x98934))),x98932)))
% 163.96/163.66 [10071]~P88(x100711)+~P146(x100711)+~P107(f316(f316(f224(x100711),f316(x100713,f520(x100715,x100713,x100714,x100712,x100711))),x100715))+P107(f316(f316(f224(x100711),f316(f316(f6(x100712,x100711),x100713),x100714)),f316(f316(f75(x100711),f316(f90(x100711),f316(f28(x100712),x100714))),x100715)))
% 163.96/163.66 [8832]E(f316(f316(f124(x88321),x88322),x88323),f316(f316(f124(x88321),x88324),x88325))+~E(f316(f316(f165(x88321),f316(f179(f899(x88321)),x88322)),x88324),x88322)+~E(f316(f316(f124(x88321),f316(f316(f128(x88321),f316(f179(f899(x88321)),x88322)),x88324)),x88325),x88323)+P107(f316(f316(f224(a898),f316(f179(f899(x88321)),x88324)),f316(f179(f899(x88321)),x88322)))
% 163.96/163.66 [8962]E(f316(f316(f124(x89621),x89622),x89623),f316(f316(f124(x89621),x89624),x89625))+~E(f316(f316(f165(x89621),f316(f179(f899(x89621)),x89622)),x89624),x89622)+~E(x89623,f316(f316(f124(x89621),f316(f316(f128(x89621),f316(f179(f899(x89621)),x89622)),x89624)),x89625))+~P107(f316(f316(f224(a898),f316(f179(f899(x89621)),x89622)),f316(f179(f899(x89621)),x89624)))
% 163.96/163.66 [10218]~P107(f316(x102185,x102184))+~P107(f316(f54(x102182),f316(f251(x102182),x102185)))+P107(f316(f54(x102181),f316(f251(x102181),f316(f316(f7(x102181,x102182,a895),x102183),x102184))))+~P107(f316(f54(x102181),f316(f251(x102181),f316(f316(f8(f905(x102182,a895),a895,x102181),f81(x102182)),f316(f316(f8(f905(x102182,a895),f905(x102182,a895),x102181),f316(f18(x102182,a895,a895),f316(f316(f8(a895,f905(a895,a895),x102182),a314),x102185))),x102183)))))
% 163.96/163.66 [10295]~P107(f316(f54(x102952),x102955))+~P107(f316(f316(f318(x102952),x102954),x102955))+P107(f316(f54(x102951),f316(f251(x102951),f316(f316(f7(x102951,x102952,a895),x102953),x102954))))+~P107(f316(f54(x102951),f316(f251(x102951),f316(f316(f8(f905(x102952,a895),a895,x102951),f81(x102952)),f316(f316(f8(f905(x102952,a895),f905(x102952,a895),x102951),f316(f18(x102952,a895,a895),f316(f316(f8(a895,f905(a895,a895),x102952),a314),f316(f316(f7(x102952,f905(x102952,a895),a895),f318(x102952)),x102955)))),x102953)))))
% 163.96/163.66 [8614]~P16(x86145,x86141,x86146,x86142)+E(f316(f66(x86141,x86141,x86141,f316(x86142,x86143)),f316(x86142,x86144)),f316(f66(x86141,x86141,x86141,f316(x86142,x86144)),f316(x86142,x86143)))+~P107(f316(f54(x86145),x86144))+~P107(f316(f54(x86145),x86143))
% 163.96/163.66 [8009]~P22(x80091,x80092,x80094,x80093)+~E(f316(x80094,x80096),x80095)+E(f316(f71(x80091,x80092,x80093,x80094),x80095),x80096)+~P107(f316(f316(f318(x80091),x80096),x80093))
% 163.96/163.66 [8010]~P22(x80101,x80102,x80104,x80103)+~E(f316(x80104,x80106),x80105)+E(f316(f85(x80101,x80102,x80103,x80104),x80105),x80106)+~P107(f316(f316(f318(x80101),x80106),x80103))
% 163.96/163.66 [8203]~P17(x82036,x82031,x82034,x82032)+E(f316(f66(x82031,x82031,x82031,f316(x82032,x82033)),f316(x82034,x82035)),f316(x82032,x82033))+~P107(f316(f54(x82036),x82033))+~P107(f316(f316(f318(x82036),x82035),x82033))
% 163.96/163.66 [9334]E(x93341,x93342)+~E(f316(f85(x93343,x93344,x93345,x93346),x93341),f316(f85(x93343,x93344,x93345,x93346),x93342))+~P107(f316(f316(f318(x93344),x93342),f316(f299(x93343,x93344,x93346),x93345)))+~P107(f316(f316(f318(x93344),x93341),f316(f299(x93343,x93344,x93346),x93345)))
% 163.96/163.66 [9434]~P16(x94343,x94341,x94346,x94342)+E(f316(f66(x94341,x94341,x94341,f316(x94342,f316(f316(f23(f905(x94343,a895)),x94344),f316(f316(f298(x94343),x94345),f178(f905(x94343,a895)))))),f316(x94346,x94345)),f316(x94342,x94344))+~P107(f316(f54(x94343),x94344))+~P107(f316(f316(f318(x94343),x94345),x94344))
% 163.96/163.66 [7086]~P63(x70861)+~E(f38(x70861,x70863,x70864),f38(x70861,x70866,x70864))+~E(f38(x70861,x70862,x70864),f38(x70861,x70865,x70864))+E(f38(x70861,f316(f316(f23(x70861),x70862),x70863),x70864),f38(x70861,f316(f316(f23(x70861),x70865),x70866),x70864))
% 163.96/163.66 [7087]~P62(x70871)+~E(f38(x70871,x70873,x70874),f38(x70871,x70876,x70874))+~E(f38(x70871,x70872,x70874),f38(x70871,x70875,x70874))+E(f38(x70871,f316(f316(f75(x70871),x70872),x70873),x70874),f38(x70871,f316(f316(f75(x70871),x70875),x70876),x70874))
% 163.96/163.66 [7088]~P62(x70881)+~E(f38(x70881,x70883,x70884),f38(x70881,x70886,x70884))+~E(f38(x70881,x70882,x70884),f38(x70881,x70885,x70884))+E(f38(x70881,f316(f316(f74(x70881),x70882),x70883),x70884),f38(x70881,f316(f316(f74(x70881),x70885),x70886),x70884))
% 163.96/163.66 [7901]~P13(x79011,x79012,x79013)+~P107(f316(f54(x79011),x79016))+E(f316(f316(f57(x79011,x79012,x79013),x79014),f316(f316(f298(x79011),x79015),x79016)),f316(f316(f57(x79011,x79012,x79013),f316(f316(x79013,x79015),x79014)),x79016))+P107(f316(f316(f318(x79011),x79015),x79016))
% 163.96/163.66 [7968]~P2(x79681)+P107(f316(f316(f224(x79681),x79682),f316(x79683,x79684)))+~P107(f316(f316(f318(x79685),x79684),x79686))+~P107(f316(f316(f224(x79681),x79682),f316(f316(f32(x79685,x79681),x79686),x79683)))
% 163.96/163.66 [8125]~P13(x81251,x81252,x81253)+~P107(f316(f54(x81251),x81256))+E(f316(f316(f57(x81251,x81252,x81253),x81254),f316(f316(f298(x81251),x81255),x81256)),f316(f316(x81253,x81255),f316(f316(f57(x81251,x81252,x81253),x81254),x81256)))+P107(f316(f316(f318(x81251),x81255),x81256))
% 163.96/163.66 [8221]~P108(x82213)+~P107(f316(x82212,x82215))+~P10(x82213,f316(f316(f144(x82211,x82213),x82214),x82216))+E(f316(f126(x82211,x82212),f316(f316(f138(x82211,x82213,x82214),x82215),x82216)),f316(f316(f138(x82211,x82213,x82214),x82215),f316(f126(x82211,x82212),x82216)))
% 163.96/163.66 [8243]E(x82431,x82432)+E(x82433,f2(a1))+~P107(f316(f42(x82434,x82433),f316(f316(f241(a1,a1),x82435),x82432)))+~P107(f316(f42(x82434,x82433),f316(f316(f241(a1,a1),x82436),x82431)))
% 163.96/163.66 [8244]E(x82441,x82442)+E(x82443,f2(a1))+~P107(f316(f42(x82444,x82443),f316(f316(f241(a1,a1),x82442),x82445)))+~P107(f316(f42(x82444,x82443),f316(f316(f241(a1,a1),x82441),x82446)))
% 163.96/163.66 [8267]~P16(x82672,x82675,x82676,x82671)+~P107(f316(f54(x82672),x82674))+E(f316(x82671,f316(f316(f298(x82672),x82673),x82674)),f316(f66(x82675,x82675,x82675,f316(x82671,x82674)),f316(x82676,x82673)))+P107(f316(f316(f318(x82672),x82673),x82674))
% 163.96/163.66 [8489]~P17(x84895,x84891,x84896,x84892)+E(f316(f66(x84891,x84891,x84891,f316(x84892,x84893)),f316(x84892,x84894)),f316(x84892,x84893))+~P107(f316(f54(x84895),x84893))+~P107(f316(f316(f224(f905(x84895,a895)),x84894),x84893))
% 163.96/163.66 [9647]~P22(x96471,x96472,x96474,x96473)+~P107(f316(f316(f318(x96472),x96475),f316(f299(x96471,x96472,x96474),x96473)))+P107(f316(f316(f318(x96471),f316(f71(x96471,x96472,x96473,x96474),x96475)),x96476))+~P107(f316(f316(f224(f905(x96471,a895)),x96473),x96476))
% 163.96/163.66 [10024]~P76(x100242)+~E(f579(x100241,x100243,x100245,x100246,x100244,x100242),f580(x100241,x100243,x100245,x100246,x100244,x100242))+~P107(f316(f54(x100244),x100246))+E(f316(f316(f6(x100241,x100242),x100243),f316(f299(x100244,x100241,x100245),x100246)),f316(f316(f6(x100244,x100242),f316(f66(x100241,x100242,x100244,x100243),x100245)),x100246))
% 163.96/163.66 [10052]~P76(x100526)+E(f316(x100521,f579(x100522,x100523,x100521,x100524,x100525,x100526)),f316(x100521,f580(x100522,x100523,x100521,x100524,x100525,x100526)))+E(f316(f316(f6(x100522,x100526),x100523),f316(f299(x100525,x100522,x100521),x100524)),f316(f316(f6(x100525,x100526),f316(f66(x100522,x100526,x100525,x100523),x100521)),x100524))+~P107(f316(f54(x100525),x100524))
% 163.96/163.66 [10104]~P76(x101042)+~E(f316(x101043,f316(x101045,f580(x101041,x101043,x101045,x101046,x101044,x101042))),f2(x101042))+~P107(f316(f54(x101044),x101046))+E(f316(f316(f6(x101041,x101042),x101043),f316(f299(x101044,x101041,x101045),x101046)),f316(f316(f6(x101044,x101042),f316(f66(x101041,x101042,x101044,x101043),x101045)),x101046))
% 163.96/163.66 [10162]~P76(x101622)+~P107(f316(f54(x101624),x101626))+E(f316(f316(f6(x101621,x101622),x101623),f316(f299(x101624,x101621,x101625),x101626)),f316(f316(f6(x101624,x101622),f316(f66(x101621,x101622,x101624,x101623),x101625)),x101626))+P107(f316(f316(f318(x101624),f580(x101621,x101623,x101625,x101626,x101624,x101622)),x101626))
% 163.96/163.66 [10163]~P76(x101632)+~P107(f316(f54(x101634),x101636))+E(f316(f316(f6(x101631,x101632),x101633),f316(f299(x101634,x101631,x101635),x101636)),f316(f316(f6(x101634,x101632),f316(f66(x101631,x101632,x101634,x101633),x101635)),x101636))+P107(f316(f316(f318(x101634),f579(x101631,x101633,x101635,x101636,x101634,x101632)),x101636))
% 163.96/163.66 [10294]~P72(x102941)+~P107(f316(f54(x102942),x102946))+E(f316(f316(f316(f58(x102941,x102942,f75(x102941)),f316(f316(f18(x102942,f905(x102943,a895),x102941),f316(f316(f7(x102942,x102941,f905(f905(x102943,a895),x102941)),f316(f316(f8(f905(x102943,x102941),f905(x102941,f905(f905(x102943,a895),x102941)),x102942),f58(x102941,x102943,f75(x102941))),x102944)),f72(x102941))),x102945)),f72(x102941)),x102946),f316(f316(f316(f58(x102941,f904(x102942,x102943),f75(x102941)),f316(f246(x102942,x102943,x102941),x102944)),f72(x102941)),f316(f316(f243(x102942,x102943),x102946),x102945)))+P107(f316(f316(f318(x102942),f406(x102944,x102945,x102943,x102946,x102942,x102941)),x102946))
% 163.96/163.66 [10316]~P72(x103161)+~P107(f316(f54(x103162),x103166))+E(f316(f316(f316(f58(x103161,x103162,f75(x103161)),f316(f316(f18(x103162,f905(x103163,a895),x103161),f316(f316(f7(x103162,x103161,f905(f905(x103163,a895),x103161)),f316(f316(f8(f905(x103163,x103161),f905(x103161,f905(f905(x103163,a895),x103161)),x103162),f58(x103161,x103163,f75(x103161))),x103164)),f72(x103161))),x103165)),f72(x103161)),x103166),f316(f316(f316(f58(x103161,f904(x103162,x103163),f75(x103161)),f316(f246(x103162,x103163,x103161),x103164)),f72(x103161)),f316(f316(f243(x103162,x103163),x103166),x103165)))+~P107(f316(f54(x103163),f316(x103165,f406(x103164,x103165,x103163,x103166,x103162,x103161))))
% 163.96/163.66 [8399]~P17(x83992,x83995,x83996,x83991)+~P107(f316(f54(x83992),x83994))+~P107(f316(f54(x83992),x83993))+E(f316(x83991,f316(f316(f100(f905(x83992,a895)),x83993),x83994)),f316(f66(x83995,x83995,x83995,f316(x83991,x83993)),f316(x83991,x83994)))
% 163.96/163.66 [8615]~P2(x86151)+P107(f316(f316(f224(x86151),f316(x86152,x86153)),x86154))+~P107(f316(f316(f318(x86155),x86153),x86156))+~P107(f316(f316(f224(x86151),f316(f316(f33(x86155,x86151),x86156),x86152)),x86154))
% 163.96/163.66 [9050]~P22(x90502,x90501,x90503,x90506)+E(f316(f316(f23(f905(x90501,a895)),f316(f299(x90502,x90501,x90503),x90504)),f316(f299(x90502,x90501,x90503),x90505)),f316(f299(x90502,x90501,x90503),f316(f316(f23(f905(x90502,a895)),x90504),x90505)))+~P107(f316(f316(f224(f905(x90502,a895)),x90505),x90506))+~P107(f316(f316(f224(f905(x90502,a895)),x90504),x90506))
% 163.96/163.66 [9051]~P22(x90512,x90511,x90513,x90516)+E(f316(f316(f91(f905(x90511,a895)),f316(f299(x90512,x90511,x90513),x90514)),f316(f299(x90512,x90511,x90513),x90515)),f316(f299(x90512,x90511,x90513),f316(f316(f91(f905(x90512,a895)),x90514),x90515)))+~P107(f316(f316(f224(f905(x90512,a895)),x90515),x90516))+~P107(f316(f316(f224(f905(x90512,a895)),x90514),x90516))
% 163.96/163.66 [9310]E(x93101,x93102)+~P51(x93103,x93104,x93105)+~P107(f316(f316(f318(f904(x93103,x93104)),f316(f316(f241(x93103,x93104),x93106),x93102)),x93105))+~P107(f316(f316(f318(f904(x93103,x93104)),f316(f316(f241(x93103,x93104),x93106),x93101)),x93105))
% 163.96/163.66 [10100]~P69(x101001)+~E(f316(x101003,f601(x101004,x101006,x101003,x101005,x101002,x101001)),f316(x101006,f601(x101004,x101006,x101003,x101005,x101002,x101001)))+~P107(f316(f54(x101002),x101005))+E(f316(f316(f316(f58(x101001,x101002,f75(x101001)),x101003),x101004),x101005),f316(f316(f316(f58(x101001,x101002,f75(x101001)),x101006),x101004),x101005))
% 163.96/163.66 [10160]~P69(x101601)+~P107(f316(f54(x101602),x101605))+E(f316(f316(f316(f58(x101601,x101602,f75(x101601)),x101603),x101604),x101605),f316(f316(f316(f58(x101601,x101602,f75(x101601)),x101606),x101604),x101605))+P107(f316(f316(f318(x101602),f601(x101604,x101603,x101606,x101605,x101602,x101601)),x101605))
% 163.96/163.66 [8846]~P69(x88461)+~P107(f316(f54(x88462),x88466))+P107(f316(f316(f318(x88462),x88465),x88466))+E(f316(f316(f316(f58(x88461,x88462,f75(x88461)),x88463),x88464),f316(f316(f298(x88462),x88465),x88466)),f316(f316(f75(x88461),f316(x88463,x88465)),f316(f316(f316(f58(x88461,x88462,f75(x88461)),x88463),x88464),x88466)))
% 163.96/163.66 [8899]~P5(x88991,x88996,x88993)+~P8(x88991,f905(x88992,a895),x88993,x88995)+~P107(f316(f316(f318(x88991),x88994),x88996))+E(f316(f316(f33(x88991,f905(x88992,a895)),f316(f274(x88991,x88991,x88993),f316(f316(f298(x88991),x88994),f178(f905(x88991,a895))))),x88995),f316(x88995,x88994))
% 163.96/163.66 [9025]~P13(x90253,x90254,x90251)+~P107(f316(f54(x90253),x90256))+~P107(f316(f316(f318(x90253),x90252),x90256))+E(f316(f316(x90251,x90252),f316(f316(f57(x90253,x90254,x90251),x90255),f316(f316(f23(f905(x90253,a895)),x90256),f316(f316(f298(x90253),x90252),f178(f905(x90253,a895)))))),f316(f316(f57(x90253,x90254,x90251),x90255),x90256))
% 163.96/163.66 [9320]~P16(x93203,x93201,x93206,x93202)+~P107(f316(f54(x93203),x93205))+~P107(f316(f54(x93203),x93204))+E(f316(f66(x93201,x93201,x93201,f316(x93202,f316(f316(f100(f905(x93203,a895)),x93204),x93205))),f316(x93202,f316(f316(f91(f905(x93203,a895)),x93204),x93205))),f316(f66(x93201,x93201,x93201,f316(x93202,x93204)),f316(x93202,x93205)))
% 163.96/163.66 [9670]~E(x96703,f316(f316(f149(x96701,x96702),x96705),x96706))+P107(f316(f316(f318(f904(f899(x96701),f899(x96701))),f316(f316(f241(f899(x96701),f899(x96701)),x96702),x96703)),f147(x96701,x96704)))+~P107(f316(f316(f225(a898),x96705),f316(f179(f899(x96701)),x96702)))+~P107(f316(f316(f318(f904(x96701,x96701)),f316(f316(f241(x96701,x96701),f316(f316(f154(x96701),x96702),x96705)),x96706)),x96704))
% 163.96/163.66 [10177]~P72(x101772)+~P107(f316(f54(x101771),x101776))+P107(f316(f316(f318(x101771),f462(x101774,x101775,x101773,x101776,x101771,x101772)),x101776))+E(f316(f316(f9(x101771,x101772),f316(f316(f18(x101771,f905(x101773,a895),x101772),f316(f316(f8(f905(x101773,x101772),f905(f905(x101773,a895),x101772),x101771),f9(x101773,x101772)),x101774)),x101775)),x101776),f316(f316(f9(f904(x101771,x101773),x101772),f316(f246(x101771,x101773,x101772),x101774)),f316(f316(f243(x101771,x101773),x101776),x101775)))
% 163.96/163.66 [10178]~P76(x101782)+~P107(f316(f54(x101781),x101786))+P107(f316(f316(f318(x101781),f536(x101784,x101785,x101783,x101786,x101781,x101782)),x101786))+E(f316(f316(f6(x101781,x101782),f316(f316(f18(x101781,f905(x101783,a895),x101782),f316(f316(f8(f905(x101783,x101782),f905(f905(x101783,a895),x101782),x101781),f6(x101783,x101782)),x101784)),x101785)),x101786),f316(f316(f6(f904(x101781,x101783),x101782),f316(f246(x101781,x101783,x101782),x101784)),f316(f316(f243(x101781,x101783),x101786),x101785)))
% 163.96/163.66 [10216]~P72(x102162)+~P107(f316(f54(x102161),x102166))+~P107(f316(f54(x102163),f316(x102165,f462(x102164,x102165,x102163,x102166,x102161,x102162))))+E(f316(f316(f9(x102161,x102162),f316(f316(f18(x102161,f905(x102163,a895),x102162),f316(f316(f8(f905(x102163,x102162),f905(f905(x102163,a895),x102162),x102161),f9(x102163,x102162)),x102164)),x102165)),x102166),f316(f316(f9(f904(x102161,x102163),x102162),f316(f246(x102161,x102163,x102162),x102164)),f316(f316(f243(x102161,x102163),x102166),x102165)))
% 163.96/163.66 [10217]~P76(x102172)+~P107(f316(f54(x102171),x102176))+~P107(f316(f54(x102173),f316(x102175,f536(x102174,x102175,x102173,x102176,x102171,x102172))))+E(f316(f316(f6(x102171,x102172),f316(f316(f18(x102171,f905(x102173,a895),x102172),f316(f316(f8(f905(x102173,x102172),f905(f905(x102173,a895),x102172),x102171),f6(x102173,x102172)),x102174)),x102175)),x102176),f316(f316(f6(f904(x102171,x102173),x102172),f316(f246(x102171,x102173,x102172),x102174)),f316(f316(f243(x102171,x102173),x102176),x102175)))
% 163.96/163.66 [10199]~P72(x101992)+~P107(f316(f54(x101991),x101996))+P107(f316(f316(f318(x101991),x101993),x101996))+E(f316(f316(f9(x101991,x101992),f316(f316(f7(x101991,x101992,x101992),f316(f316(f18(x101991,x101992,f905(x101992,x101992)),f316(f316(f8(a895,f905(x101992,f905(x101992,x101992)),x101991),f86(x101992)),f316(f316(f7(x101991,x101991,a895),a313),x101993))),x101994)),x101995)),x101996),f316(f316(f233(x101992),x101995),f316(f28(x101991),x101996)))
% 163.96/163.66 [10202]~P72(x102022)+~P107(f316(f54(x102021),x102026))+~P107(f316(f316(f318(x102021),x102023),x102026))+E(f316(f316(f9(x102021,x102022),f316(f316(f7(x102021,x102022,x102022),f316(f316(f18(x102021,x102022,f905(x102022,x102022)),f316(f316(f8(a895,f905(x102022,f905(x102022,x102022)),x102021),f86(x102022)),f316(f316(f7(x102021,x102021,a895),a313),x102023))),x102024)),x102025)),x102026),f316(f316(f75(x102022),f316(x102024,x102023)),f316(f316(f233(x102022),x102025),f316(f316(f23(a898),f316(f28(x102021),x102026)),f72(a898)))))
% 163.96/163.66 [10280]~P107(f316(f54(x102801),x102805))+~P107(f316(f54(x102802),x102803))+P107(f316(f316(f318(x102802),f537(x102806,x102804,x102803,x102802,x102805,x102801)),x102803))+E(f316(f316(f6(x102801,a898),f316(f316(f8(f905(x102802,a895),a898,x102801),f28(x102802)),f316(f316(f8(f905(x102802,a895),f905(x102802,a895),x102801),f251(x102802)),f316(f316(f8(f905(x102802,a895),f905(x102802,a895),x102801),f316(f18(x102802,a895,a895),f316(f316(f8(a895,f905(a895,a895),x102802),a314),f316(f316(f7(x102802,f905(x102802,a895),a895),f318(x102802)),x102803)))),x102804)))),x102805),f316(f316(f75(a898),x102806),f316(f28(x102802),x102803)))
% 163.96/163.66 [10281]~P107(f316(f54(x102811),x102815))+~P107(f316(f54(x102812),x102813))+P107(f316(f316(f318(x102812),f542(x102816,x102814,x102813,x102812,x102815,x102811)),x102813))+E(f316(f316(f6(x102811,a898),f316(f316(f8(f905(x102812,a895),a898,x102811),f28(x102812)),f316(f316(f8(f905(x102812,a895),f905(x102812,a895),x102811),f251(x102812)),f316(f316(f8(f905(x102812,a895),f905(x102812,a895),x102811),f316(f18(x102812,a895,a895),f316(f316(f8(a895,f905(a895,a895),x102812),a314),f316(f316(f7(x102812,f905(x102812,a895),a895),f318(x102812)),x102813)))),x102814)))),x102815),f316(f316(f6(x102812,a898),x102816),x102813))
% 163.96/163.66 [10329]~P107(f316(f54(x103292),x103293))+~P107(f316(f54(x103291),x103295))+~E(f316(f28(x103291),f316(f251(x103291),f316(f316(f18(x103291,a895,a895),f316(f316(f8(a895,f905(a895,a895),x103291),a314),f316(f316(f7(x103291,f905(x103291,a895),a895),f318(x103291)),x103295))),f316(f316(f7(x103291,x103292,a895),x103294),f537(x103296,x103294,x103293,x103292,x103295,x103291))))),x103296)+E(f316(f316(f6(x103291,a898),f316(f316(f8(f905(x103292,a895),a898,x103291),f28(x103292)),f316(f316(f8(f905(x103292,a895),f905(x103292,a895),x103291),f251(x103292)),f316(f316(f8(f905(x103292,a895),f905(x103292,a895),x103291),f316(f18(x103292,a895,a895),f316(f316(f8(a895,f905(a895,a895),x103292),a314),f316(f316(f7(x103292,f905(x103292,a895),a895),f318(x103292)),x103293)))),x103294)))),x103295),f316(f316(f75(a898),x103296),f316(f28(x103292),x103293)))
% 163.96/163.66 [10331]~P107(f316(f54(x103312),x103313))+~P107(f316(f54(x103311),x103315))+~E(f316(f28(x103311),f316(f251(x103311),f316(f316(f18(x103311,a895,a895),f316(f316(f8(a895,f905(a895,a895),x103311),a314),f316(f316(f7(x103311,f905(x103311,a895),a895),f318(x103311)),x103315))),f316(f316(f7(x103311,x103312,a895),x103314),f542(x103316,x103314,x103313,x103312,x103315,x103311))))),f316(x103316,f542(x103316,x103314,x103313,x103312,x103315,x103311)))+E(f316(f316(f6(x103311,a898),f316(f316(f8(f905(x103312,a895),a898,x103311),f28(x103312)),f316(f316(f8(f905(x103312,a895),f905(x103312,a895),x103311),f251(x103312)),f316(f316(f8(f905(x103312,a895),f905(x103312,a895),x103311),f316(f18(x103312,a895,a895),f316(f316(f8(a895,f905(a895,a895),x103312),a314),f316(f316(f7(x103312,f905(x103312,a895),a895),f318(x103312)),x103313)))),x103314)))),x103315),f316(f316(f6(x103312,a898),x103316),x103313))
% 163.96/163.66 [9949]E(x99491,x99492)+~P13(x99493,x99494,x99495)+~P107(f316(f59(x99493,x99494,x99495,x99496,x99497),x99492))+~P107(f316(f59(x99493,x99494,x99495,x99496,x99497),x99491))
% 163.96/163.66 [9746]P107(f316(x97461,x97462))+~P107(f316(f316(f318(x97467),x97462),f316(x97466,x97464)))+~P107(f316(x97461,f880(x97461,x97466,x97465,x97463,x97467)))+~P107(f316(f316(f318(x97463),x97464),x97465))
% 163.96/163.66 [10191]~P13(x101917,x101916,x101911)+E(f316(f316(x101911,x101912),f630(x101912,x101913,x101914,x101915,x101911,x101916,x101917)),x101913)+~P107(f316(f59(x101917,x101916,x101911,x101915,x101914),x101913))+~P107(f316(f316(f318(x101917),x101912),x101914))
% 163.96/163.66 [10258]~P13(x102581,x102582,x102583)+~P107(f316(f59(x102581,x102582,x102583,x102584,x102585),x102587))+P107(f316(f59(x102581,x102582,x102583,x102584,f316(f316(f23(f905(x102581,a895)),x102585),f316(f316(f298(x102581),x102586),f178(f905(x102581,a895))))),f630(x102586,x102587,x102585,x102584,x102583,x102582,x102581)))+~P107(f316(f316(f318(x102581),x102586),x102585))
% 163.96/163.66 [9390]P23(x93901,x93902,x93903,x93904,x93905)+~P23(x93901,x93902,x93903,x93906,x93907)+~E(f316(f299(x93901,x93902,x93903),x93904),x93905)+~P107(f316(f316(f224(f905(x93901,a895)),x93904),x93906))
% 163.96/163.66 [9638]~P23(x96381,x96382,x96383,x96385,x96387)+~P23(x96381,x96382,x96383,x96384,x96386)+P23(x96381,x96382,x96383,f316(f316(f100(f905(x96381,a895)),x96384),x96385),f316(f316(f100(f905(x96382,a895)),x96386),x96387))+~E(f316(f316(f91(f905(x96382,a895)),x96386),x96387),f178(f905(x96382,a895)))
% 163.96/163.66 [9643]~P69(x96431)+~P22(x96435,x96432,x96436,x96437)+~P107(f316(f54(x96435),x96437))+E(f316(f316(f316(f58(x96431,x96432,f75(x96431)),x96433),x96434),f316(f299(x96435,x96432,x96436),x96437)),f316(f316(f316(f58(x96431,x96435,f75(x96431)),f316(f66(x96432,x96431,x96435,x96433),x96436)),x96434),x96437))
% 163.96/163.66 [9769]~E(f316(f316(f298(x97691),x97695),x97696),f316(f316(f298(x97691),x97692),x97693))+~P107(f316(f59(x97691,x97691,x97694,x97692,x97693),x97697))+P107(f316(f316(f318(x97691),x97692),x97693))+P107(f316(f55(x97691,x97694,f316(f316(f298(x97691),x97695),x97696)),x97697))
% 163.96/163.66 [9855]P107(f316(x98551,x98552))+~P107(f316(f316(f318(x98553),x98552),f316(x98554,x98557)))+~P107(f316(f316(f318(x98556),x98557),x98555))+P107(f316(f316(f318(x98553),f880(x98551,x98554,x98555,x98556,x98553)),f316(f316(f33(x98556,f905(x98553,a895)),x98555),x98554)))
% 163.96/163.66 [9872]~P22(x98722,x98721,x98725,x98724)+~P22(x98721,x98723,x98726,f316(f299(x98722,x98721,x98725),x98724))+E(f316(f316(f66(x98721,x98722,x98723,f71(x98722,x98721,x98724,x98725)),f71(x98721,x98723,f316(f299(x98722,x98721,x98725),x98724),x98726)),x98727),f316(f71(x98722,x98723,x98724,f316(f66(x98721,x98723,x98722,x98726),x98725)),x98727))+~P107(f316(f316(f318(x98723),x98727),f316(f299(x98721,x98723,x98726),f316(f299(x98722,x98721,x98725),x98724))))
% 163.96/163.66 [9873]~P22(x98732,x98731,x98735,x98734)+~P22(x98731,x98733,x98736,f316(f299(x98732,x98731,x98735),x98734))+E(f316(f316(f66(x98731,x98732,x98733,f85(x98732,x98731,x98734,x98735)),f85(x98731,x98733,f316(f299(x98732,x98731,x98735),x98734),x98736)),x98737),f316(f85(x98732,x98733,x98734,f316(f66(x98731,x98733,x98732,x98736),x98735)),x98737))+~P107(f316(f316(f318(x98733),x98737),f316(f299(x98731,x98733,x98736),f316(f299(x98732,x98731,x98735),x98734))))
% 163.96/163.66 [10192]~P13(x101927,x101926,x101921)+E(f316(f316(x101921,x101922),f631(x101923,x101924,x101922,x101925,x101921,x101926,x101927)),x101923)+P107(f316(f316(f318(x101927),x101922),x101924))+~P107(f316(f59(x101927,x101926,x101921,x101925,f316(f316(f298(x101927),x101922),x101924)),x101923))
% 163.96/163.66 [10257]~P13(x102571,x102574,x102575)+P107(f316(f59(x102571,x102574,x102575,x102576,x102573),f631(x102577,x102573,x102572,x102576,x102575,x102574,x102571)))+P107(f316(f316(f318(x102571),x102572),x102573))+~P107(f316(f59(x102571,x102574,x102575,x102576,f316(f316(f298(x102571),x102572),x102573)),x102577))
% 163.96/163.66 [9931]E(x99311,f2(a1))+~P107(f316(f42(x99313,x99311),f316(f316(f241(a1,a1),x99315),x99317)))+~P107(f316(f42(x99312,x99311),f316(f316(f241(a1,a1),x99314),x99316)))+P107(f316(f42(f316(f316(f74(a1),x99312),x99313),x99311),f316(f316(f241(a1,a1),f316(f316(f74(a1),f316(f316(f74(a1),x99314),x99315)),f316(f316(f29(a1),f316(f316(f74(a1),x99316),x99317)),x99311))),f38(a1,f316(f316(f74(a1),x99316),x99317),x99311))))
% 163.96/163.66 [9933]~P107(f316(f316(f225(a898),f2(a898)),x99333))+~P107(f316(f41(x99332,x99333),f316(f316(f241(a898,a898),x99335),x99337)))+~P107(f316(f41(x99331,x99333),f316(f316(f241(a898,a898),x99334),x99336)))+P107(f316(f41(f316(f316(f74(a898),x99331),x99332),x99333),f316(f316(f241(a898,a898),f316(f316(f74(a898),f316(f316(f74(a898),x99334),x99335)),f316(f316(f29(a898),f316(f316(f74(a898),x99336),x99337)),x99333))),f38(a898,f316(f316(f74(a898),x99336),x99337),x99333))))
% 163.96/163.66 [10328]~P76(x103282)+~P107(f316(f54(x103283),x103285))+~P107(f316(f54(x103281),x103287))+E(f316(f316(f6(x103281,x103282),f316(f316(f18(x103281,f905(x103283,a895),x103282),f316(f316(f8(f905(x103283,x103282),f905(f905(x103283,a895),x103282),x103281),f6(x103283,x103282)),x103284)),f316(f316(f8(f905(x103283,a895),f905(x103283,a895),x103281),f251(x103283)),f316(f316(f8(f905(x103283,a895),f905(x103283,a895),x103281),f316(f18(x103283,a895,a895),f316(f316(f8(a895,f905(a895,a895),x103283),a314),f316(f316(f7(x103283,f905(x103283,a895),a895),f318(x103283)),x103285)))),x103286)))),x103287),f316(f316(f6(x103283,x103282),f316(f316(f18(x103283,f905(x103281,a895),x103282),f316(f316(f8(f905(x103281,x103282),f905(f905(x103281,a895),x103282),x103283),f6(x103281,x103282)),f316(f7(x103281,x103283,x103282),x103284))),f316(f316(f8(f905(x103281,a895),f905(x103281,a895),x103283),f251(x103281)),f316(f316(f8(f905(x103281,a895),f905(x103281,a895),x103283),f316(f18(x103281,a895,a895),f316(f316(f8(a895,f905(a895,a895),x103281),a314),f316(f316(f7(x103281,f905(x103281,a895),a895),f318(x103281)),x103287)))),f316(f7(x103281,x103283,a895),x103286))))),x103285))
% 163.96/163.66 [10278]~P18(x102788,x102787,x102786,x102785,x102781)+~E(f316(x102782,f841(x102784,x102782,x102783,x102781,x102785,x102786,x102787)),f316(x102784,f841(x102784,x102782,x102783,x102781,x102785,x102786,x102787)))+E(f316(f316(x102781,x102782),x102783),f316(f316(x102781,x102784),x102783))+~P107(f316(f54(x102787),x102783))
% 163.96/163.66 [9805]~P19(x98057,x98056,x98051,x98058,x98052,x98054)+E(f316(f316(x98051,f316(x98052,x98053)),f316(x98054,x98055)),f316(x98054,x98055))+~P107(f316(f54(x98056),x98055))+~P107(f316(f316(f318(x98056),x98053),x98055))
% 163.96/163.66 [9809]~P9(x98096,x98091,x98092,x98098,x98093,x98094)+~P5(x98096,x98097,x98098)+P8(x98091,x98092,x98093,f316(x98094,x98095))+~P107(f316(f316(f318(x98096),x98095),x98097))
% 163.96/163.66 [10301]~P18(x103018,x103015,x103017,x103016,x103011)+E(f316(f316(x103011,x103012),x103013),f316(f316(x103011,x103014),x103013))+~P107(f316(f54(x103015),x103013))+P107(f316(f316(f318(x103015),f841(x103012,x103014,x103013,x103011,x103016,x103017,x103015)),x103013))
% 163.96/163.66 [10378]~P107(f316(f316(x103781,x103786),x103785))+P107(f316(f316(x103781,f833(x103781,x103784,x103785,x103786,x103783,x103782,x103787,x103788)),f838(x103781,x103784,x103785,x103786,x103783,x103782,x103787,x103788)))+P107(f316(f316(x103781,x103782),x103783))+~P107(f316(f316(f318(f904(f904(x103788,x103787),f904(x103788,x103787))),f316(f316(f241(f904(x103788,x103787),f904(x103788,x103787)),f316(f316(f241(x103788,x103787),x103782),x103783)),f316(f316(f241(x103788,x103787),x103786),x103785))),f296(f904(x103788,x103787),x103784)))
% 163.96/163.66 [10379]~P107(f316(f316(x103791,x103796),x103795))+P107(f316(f316(x103791,f828(x103791,x103794,x103793,x103792,x103795,x103796,x103797,x103798)),f829(x103791,x103794,x103793,x103792,x103795,x103796,x103797,x103798)))+P107(f316(f316(x103791,x103792),x103793))+~P107(f316(f316(f318(f904(f904(x103798,x103797),f904(x103798,x103797))),f316(f316(f241(f904(x103798,x103797),f904(x103798,x103797)),f316(f316(f241(x103798,x103797),x103796),x103795)),f316(f316(f241(x103798,x103797),x103792),x103793))),f296(f904(x103798,x103797),x103794)))
% 163.96/163.66 [10389]~P107(f316(f316(x103891,f834(x103891,x103896,x103895,x103894,x103893,x103892,x103897,x103898)),f837(x103891,x103896,x103895,x103894,x103893,x103892,x103897,x103898)))+P107(f316(f316(x103891,x103892),x103893))+~P107(f316(f316(x103891,x103894),x103895))+~P107(f316(f316(f318(f904(f904(x103898,x103897),f904(x103898,x103897))),f316(f316(f241(f904(x103898,x103897),f904(x103898,x103897)),f316(f316(f241(x103898,x103897),x103892),x103893)),f316(f316(f241(x103898,x103897),x103894),x103895))),f296(f904(x103898,x103897),x103896)))
% 163.96/163.66 [10390]~P107(f316(f316(x103901,f830(x103901,x103906,x103903,x103902,x103905,x103904,x103907,x103908)),f831(x103901,x103906,x103903,x103902,x103905,x103904,x103907,x103908)))+P107(f316(f316(x103901,x103902),x103903))+~P107(f316(f316(x103901,x103904),x103905))+~P107(f316(f316(f318(f904(f904(x103908,x103907),f904(x103908,x103907))),f316(f316(f241(f904(x103908,x103907),f904(x103908,x103907)),f316(f316(f241(x103908,x103907),x103904),x103905)),f316(f316(f241(x103908,x103907),x103902),x103903))),f296(f904(x103908,x103907),x103906)))
% 163.96/163.66 [10403]~P107(f316(f316(x104031,x104036),x104037))+P107(f316(f316(x104031,x104032),x104033))+P107(f316(f316(f318(f904(f904(x104034,x104035),f904(x104034,x104035))),f316(f316(f241(f904(x104034,x104035),f904(x104034,x104035)),f316(f316(f241(x104034,x104035),x104036),x104037)),f316(f316(f241(x104034,x104035),f828(x104031,x104038,x104033,x104032,x104037,x104036,x104035,x104034)),f829(x104031,x104038,x104033,x104032,x104037,x104036,x104035,x104034)))),f296(f904(x104034,x104035),x104038)))+~P107(f316(f316(f318(f904(f904(x104034,x104035),f904(x104034,x104035))),f316(f316(f241(f904(x104034,x104035),f904(x104034,x104035)),f316(f316(f241(x104034,x104035),x104036),x104037)),f316(f316(f241(x104034,x104035),x104032),x104033))),f296(f904(x104034,x104035),x104038)))
% 163.96/163.66 [10405]~P107(f316(f316(x104051,x104058),x104057))+P107(f316(f316(x104051,x104052),x104053))+P107(f316(f316(f318(f904(f904(x104054,x104055),f904(x104054,x104055))),f316(f316(f241(f904(x104054,x104055),f904(x104054,x104055)),f316(f316(f241(x104054,x104055),f833(x104051,x104056,x104057,x104058,x104053,x104052,x104055,x104054)),f838(x104051,x104056,x104057,x104058,x104053,x104052,x104055,x104054))),f316(f316(f241(x104054,x104055),x104058),x104057))),f296(f904(x104054,x104055),x104056)))+~P107(f316(f316(f318(f904(f904(x104054,x104055),f904(x104054,x104055))),f316(f316(f241(f904(x104054,x104055),f904(x104054,x104055)),f316(f316(f241(x104054,x104055),x104052),x104053)),f316(f316(f241(x104054,x104055),x104058),x104057))),f296(f904(x104054,x104055),x104056)))
% 163.96/163.66 [9417]~P16(x94177,x94171,x94178,x94173)+~P107(f316(f54(x94177),x94175))+~P107(f316(f54(x94177),x94174))+E(f316(f66(x94171,x94171,x94172,f316(x94173,x94174)),f316(f66(x94171,x94171,x94172,f316(x94173,x94175)),x94176)),f316(f66(x94171,x94171,x94172,f316(x94173,x94175)),f316(f66(x94171,x94171,x94172,f316(x94173,x94174)),x94176)))
% 163.96/163.66 [9426]~P33(x94261,x94262,x94263,x94264,x94267)+P33(x94261,x94262,x94263,f316(f316(f149(x94261,x94264),x94265),x94266),f316(f316(f149(x94262,x94267),x94265),x94268))+~P107(f316(f316(x94263,x94266),x94268))+~P107(f316(f316(f225(a898),x94265),f316(f179(f899(x94261)),x94264)))
% 163.96/163.66 [9427]~P33(x94271,x94272,x94273,x94274,x94277)+P33(x94271,x94272,x94273,f316(f316(f149(x94271,x94274),x94275),x94276),f316(f316(f149(x94272,x94277),x94275),x94278))+~P107(f316(f316(x94273,x94276),x94278))+~P107(f316(f316(f225(a898),x94275),f316(f179(f899(x94272)),x94277)))
% 163.96/163.66 [9506]~P22(x95062,x95062,x95065,x95066)+~P18(x95063,x95062,x95067,x95068,x95061)+~P107(f316(f54(x95062),x95066))+E(f316(f316(x95061,f316(f66(x95062,x95063,x95062,x95064),x95065)),x95066),f316(f316(x95061,x95064),f316(f299(x95062,x95062,x95065),x95066)))
% 163.96/163.66 [9770]P23(x97701,x97702,x97703,x97704,x97705)+~P23(x97702,x97706,x97707,x97705,x97708)+~P23(x97701,x97706,f316(f66(x97702,x97706,x97701,x97707),x97703),x97704,x97708)+~P107(f316(f316(f224(f905(x97702,a895)),f316(f299(x97701,x97702,x97703),x97704)),x97705))
% 163.96/163.66 [9807]~P20(x98077,x98072,x98075,x98078,x98076,x98071)+~P107(f316(f54(x98072),x98074))+E(f316(x98071,f316(f316(f298(x98072),x98073),x98074)),f316(f316(x98075,f316(x98076,x98073)),f316(x98071,x98074)))+P107(f316(f316(f318(x98072),x98073),x98074))
% 163.96/163.66 [9818]~P19(x98186,x98185,x98181,x98187,x98188,x98182)+E(f316(f316(x98181,f316(x98182,x98183)),f316(x98182,x98184)),f316(x98182,x98184))+~P107(f316(f54(x98185),x98184))+~P107(f316(f316(f224(f905(x98185,a895)),x98183),x98184))
% 163.96/163.66 [9404]P107(f316(f316(f318(f904(f899(x94041),f899(x94041))),f316(f316(f241(f899(x94041),f899(x94041)),x94042),x94043)),f147(x94041,x94044)))+~E(x94043,f316(f316(f124(x94041),x94045),f316(f316(f141(x94041),x94046),x94047)))+~E(x94042,f316(f316(f124(x94041),x94045),f316(f316(f141(x94041),x94048),x94047)))+~P107(f316(f316(f318(f904(x94041,x94041)),f316(f316(f241(x94041,x94041),x94048),x94046)),x94044))
% 163.96/163.66 [9812]~P19(x98126,x98122,x98125,x98127,x98128,x98121)+~P107(f316(f54(x98122),x98124))+~P107(f316(f54(x98122),x98123))+E(f316(x98121,f316(f316(f100(f905(x98122,a895)),x98123),x98124)),f316(f316(x98125,f316(x98121,x98123)),f316(x98121,x98124)))
% 163.96/163.66 [10368]~P22(x103684,x103682,x103685,x103688)+E(f316(f316(f32(x103681,f905(x103682,a895)),x103683),f316(f316(f8(f905(x103684,a895),f905(x103682,a895),x103681),f299(x103684,x103682,x103685)),x103686)),f316(f299(x103684,x103682,x103685),f316(f316(f32(x103681,f905(x103684,a895)),x103683),x103686)))+~P107(f316(f316(f318(x103681),x103687),x103683))+P107(f316(f316(f318(x103681),f876(x103687,x103686,x103683,x103681,x103688,x103685,x103682,x103684)),x103683))
% 163.96/163.66 [10394]~P22(x103944,x103942,x103945,x103947)+E(f316(f316(f32(x103941,f905(x103942,a895)),x103943),f316(f316(f8(f905(x103944,a895),f905(x103942,a895),x103941),f299(x103944,x103942,x103945)),x103946)),f316(f299(x103944,x103942,x103945),f316(f316(f32(x103941,f905(x103944,a895)),x103943),x103946)))+~P107(f316(f316(f318(x103941),x103948),x103943))+~P107(f316(f316(f224(f905(x103944,a895)),f316(x103946,f876(x103948,x103946,x103943,x103941,x103947,x103945,x103942,x103944))),x103947))
% 163.96/163.66 [10406]~P107(f316(f316(x104061,x104068),x104067))+P107(f316(f316(x104061,x104062),x104063))+~P107(f316(f316(f318(f904(f904(x104064,x104065),f904(x104064,x104065))),f316(f316(f241(f904(x104064,x104065),f904(x104064,x104065)),f316(f316(f241(x104064,x104065),x104062),x104063)),f316(f316(f241(x104064,x104065),x104068),x104067))),f296(f904(x104064,x104065),x104066)))+P107(f316(f316(f318(f904(f904(x104064,x104065),f904(x104064,x104065))),f316(f316(f241(f904(x104064,x104065),f904(x104064,x104065)),f316(f316(f241(x104064,x104065),f834(x104061,x104066,x104067,x104068,x104063,x104062,x104065,x104064)),f837(x104061,x104066,x104067,x104068,x104063,x104062,x104065,x104064))),f316(f316(f241(x104064,x104065),f833(x104061,x104066,x104067,x104068,x104063,x104062,x104065,x104064)),f838(x104061,x104066,x104067,x104068,x104063,x104062,x104065,x104064)))),x104066))
% 163.96/163.66 [10407]~P107(f316(f316(x104071,x104078),x104077))+P107(f316(f316(x104071,x104072),x104073))+~P107(f316(f316(f318(f904(f904(x104074,x104075),f904(x104074,x104075))),f316(f316(f241(f904(x104074,x104075),f904(x104074,x104075)),f316(f316(f241(x104074,x104075),x104078),x104077)),f316(f316(f241(x104074,x104075),x104072),x104073))),f296(f904(x104074,x104075),x104076)))+P107(f316(f316(f318(f904(f904(x104074,x104075),f904(x104074,x104075))),f316(f316(f241(f904(x104074,x104075),f904(x104074,x104075)),f316(f316(f241(x104074,x104075),f828(x104071,x104076,x104073,x104072,x104077,x104078,x104075,x104074)),f829(x104071,x104076,x104073,x104072,x104077,x104078,x104075,x104074))),f316(f316(f241(x104074,x104075),f830(x104071,x104076,x104073,x104072,x104077,x104078,x104075,x104074)),f831(x104071,x104076,x104073,x104072,x104077,x104078,x104075,x104074)))),x104076))
% 163.96/163.66 [9882]~P20(x98827,x98825,x98821,x98828,x98822,x98824)+~P107(f316(f54(x98825),x98826))+~P107(f316(f316(f318(x98825),x98823),x98826))+E(f316(f316(x98821,f316(x98822,x98823)),f316(x98824,f316(f316(f23(f905(x98825,a895)),x98826),f316(f316(f298(x98825),x98823),f178(f905(x98825,a895)))))),f316(x98824,x98826))
% 163.96/163.66 [9890]~P20(x98906,x98903,x98901,x98907,x98908,x98902)+~P107(f316(f54(x98903),x98905))+~P107(f316(f54(x98903),x98904))+E(f316(f316(x98901,f316(x98902,f316(f316(f100(f905(x98903,a895)),x98904),x98905))),f316(x98902,f316(f316(f91(f905(x98903,a895)),x98904),x98905))),f316(f316(x98901,f316(x98902,x98904)),f316(x98902,x98905)))
% 163.96/163.66 [9974]P41(x99741,x99742,x99743,x99744,x99745,f316(f316(x99743,x99746),x99747))+~P41(x99741,x99742,x99743,x99744,f316(f316(f23(f905(x99741,a895)),x99745),f316(f316(f298(x99741),x99748),f178(f905(x99741,a895)))),x99749)+~E(f316(f316(x99743,x99746),x99747),f316(f316(x99743,x99748),x99749))+~P107(f316(f316(f318(x99741),x99748),x99745))
% 163.96/163.66 [9915]~P9(x99156,x99157,x99158,x99159,x991510,x99151)+E(f316(f316(x99151,x99152),x99153),f316(f316(x99151,x99154),x99155))+~P107(f316(f316(f318(f904(x99157,x99157)),f316(f316(f241(x99157,x99157),x99153),x99155)),x991510))+~P107(f316(f316(f318(f904(x99156,x99156)),f316(f316(f241(x99156,x99156),x99152),x99154)),x99159))
% 163.96/163.66 [9508]~P84(x95082)+E(x95081,f178(f905(x95082,a895)))+~P107(f316(f54(x95082),x95081))+P107(f316(f316(f318(x95082),f10(x95082,x95081)),x95081))+~P107(f316(f316(f318(x95082),f316(f316(f91(x95082),f368(x95081,x95082)),f370(x95081,x95082))),f316(f316(f298(x95082),f368(x95081,x95082)),f316(f316(f298(x95082),f370(x95081,x95082)),f178(f905(x95082,a895))))))
% 163.96/163.66 [9509]~P84(x95092)+E(x95091,f178(f905(x95092,a895)))+~P107(f316(f54(x95092),x95091))+P107(f316(f316(f318(x95092),f13(x95092,x95091)),x95091))+~P107(f316(f316(f318(x95092),f316(f316(f100(x95092),f371(x95091,x95092)),f372(x95091,x95092))),f316(f316(f298(x95092),f371(x95091,x95092)),f316(f316(f298(x95092),f372(x95091,x95092)),f178(f905(x95092,a895))))))
% 163.96/163.66 [9540]~P69(x95402)+E(x95401,f178(f905(x95402,a895)))+~P107(f316(f54(x95402),x95401))+P107(f316(f316(f318(x95402),f316(f56(x95402,f75(x95402)),x95401)),x95401))+~P107(f316(f316(f318(x95402),f316(f316(f75(x95402),f363(x95401,x95402)),f364(x95401,x95402))),f316(f316(f298(x95402),f363(x95401,x95402)),f316(f316(f298(x95402),f364(x95401,x95402)),f178(f905(x95402,a895))))))
% 163.96/163.66 [9545]~P108(x95452)+E(x95451,f178(f905(x95452,a895)))+~P107(f316(f54(x95452),x95451))+P107(f316(f316(f318(x95452),f11(x95452,f222(x95452),x95451)),x95451))+~P107(f316(f316(f318(x95452),f316(f316(f222(x95452),f404(x95451,x95452)),f408(x95451,x95452))),f316(f316(f298(x95452),f404(x95451,x95452)),f316(f316(f298(x95452),f408(x95451,x95452)),f178(f905(x95452,a895))))))
% 163.96/163.66 [9546]~P108(x95462)+E(x95461,f178(f905(x95462,a895)))+~P107(f316(f54(x95462),x95461))+P107(f316(f316(f318(x95462),f12(x95462,f223(x95462),x95461)),x95461))+~P107(f316(f316(f318(x95462),f316(f316(f223(x95462),f405(x95461,x95462)),f407(x95461,x95462))),f316(f316(f298(x95462),f405(x95461,x95462)),f316(f316(f298(x95462),f407(x95461,x95462)),f178(f905(x95462,a895))))))
% 163.96/163.66 [6643]~P91(x66432)+E(x66431,f2(x66432))+~E(f316(f316(f74(x66432),x66433),x66431),f2(x66432))+~P107(f316(f316(f224(x66432),f2(x66432)),x66433))+~P107(f316(f316(f224(x66432),f2(x66432)),x66431))
% 163.96/163.66 [6644]~P91(x66442)+E(x66441,f2(x66442))+~E(f316(f316(f74(x66442),x66441),x66443),f2(x66442))+~P107(f316(f316(f224(x66442),f2(x66442)),x66443))+~P107(f316(f316(f224(x66442),f2(x66442)),x66441))
% 163.96/163.66 [7187]~P108(x71872)+~P10(x71872,x71871)+E(x71871,f103(x71872))+~P107(f316(f316(f318(x71872),x71873),f316(f162(x71872),f700(x71871,x71872))))+P107(f316(f316(f224(x71872),f719(x71871,x71872)),x71873))
% 163.96/163.66 [7358]~P108(x73581)+E(f14(x73581,x73582),x73583)+~P107(f316(f54(x73581),x73582))+~P107(f316(f316(f224(x73581),x73583),f598(x73583,x73582,x73581)))+~P107(f316(f316(f318(x73581),x73583),x73582))
% 163.96/163.66 [7391]~P108(x73911)+~P10(x73911,x73912)+~P10(x73911,x73913)+P10(x73911,f316(f316(f124(x73911),x73912),x73913))+P107(f316(f316(f318(x73911),f706(x73913,x73912,x73911)),f316(f162(x73911),x73912)))
% 163.96/163.66 [7392]~P108(x73921)+~P10(x73921,x73922)+~P10(x73921,x73923)+P10(x73921,f316(f316(f124(x73921),x73922),x73923))+P107(f316(f316(f318(x73921),f707(x73923,x73922,x73921)),f316(f162(x73921),x73923)))
% 163.96/163.66 [7454]~P108(x74541)+E(f14(x74541,x74542),x74543)+~P107(f316(f54(x74541),x74542))+P107(f316(f316(f318(x74541),f598(x74543,x74542,x74541)),x74542))+~P107(f316(f316(f318(x74541),x74543),x74542))
% 163.96/163.66 [7455]~P108(x74551)+E(f15(x74551,x74552),x74553)+~P107(f316(f54(x74551),x74552))+P107(f316(f316(f318(x74551),f599(x74553,x74552,x74551)),x74552))+~P107(f316(f316(f318(x74551),x74553),x74552))
% 163.96/163.66 [8028]~P108(x80281)+E(f15(x80281,x80282),x80283)+~P107(f316(f54(x80281),x80282))+~P107(f316(f316(f318(x80281),x80283),x80282))+~P107(f316(f316(f224(x80281),f599(x80283,x80282,x80281)),x80283))
% 163.96/163.66 [8346]~P108(x83461)+~P10(x83461,x83462)+~P10(x83461,x83463)+P10(x83461,f316(f316(f124(x83461),x83462),x83463))+~P107(f316(f316(f224(x83461),f706(x83463,x83462,x83461)),f707(x83463,x83462,x83461)))
% 163.96/163.66 [9145]~P84(x91452)+E(x91451,f178(f905(x91452,a895)))+~E(f316(f316(f91(x91452),f316(x91453,f374(x91451,x91453,x91452))),f316(x91453,f376(x91451,x91453,x91452))),f316(x91453,f316(f316(f91(x91452),f374(x91451,x91453,x91452)),f376(x91451,x91453,x91452))))+E(f10(x91452,f316(f299(x91452,x91452,x91453),x91451)),f316(x91453,f10(x91452,x91451)))+~P107(f316(f54(x91452),x91451))
% 163.96/163.66 [9146]~P84(x91462)+E(x91461,f178(f905(x91462,a895)))+~E(f316(f316(f100(x91462),f316(x91463,f377(x91461,x91463,x91462))),f316(x91463,f378(x91461,x91463,x91462))),f316(x91463,f316(f316(f100(x91462),f377(x91461,x91463,x91462)),f378(x91461,x91463,x91462))))+E(f13(x91462,f316(f299(x91462,x91462,x91463),x91461)),f316(x91463,f13(x91462,x91461)))+~P107(f316(f54(x91462),x91461))
% 163.96/163.66 [9147]~P108(x91472)+E(x91471,f178(f905(x91472,a895)))+~E(f316(f316(f222(x91472),f316(x91473,f468(x91471,x91473,x91472))),f316(x91473,f471(x91471,x91473,x91472))),f316(x91473,f316(f316(f222(x91472),f468(x91471,x91473,x91472)),f471(x91471,x91473,x91472))))+E(f14(x91472,f316(f299(x91472,x91472,x91473),x91471)),f316(x91473,f14(x91472,x91471)))+~P107(f316(f54(x91472),x91471))
% 163.96/163.66 [9148]~P108(x91482)+E(x91481,f178(f905(x91482,a895)))+~E(f316(f316(f223(x91482),f316(x91483,f469(x91481,x91483,x91482))),f316(x91483,f470(x91481,x91483,x91482))),f316(x91483,f316(f316(f223(x91482),f469(x91481,x91483,x91482)),f470(x91481,x91483,x91482))))+E(f15(x91482,f316(f299(x91482,x91482,x91483),x91481)),f316(x91483,f15(x91482,x91481)))+~P107(f316(f54(x91482),x91481))
% 163.96/163.66 [9216]~P108(x92162)+E(x92161,f178(f905(x92162,a895)))+~E(f316(f316(f222(x92162),f316(x92163,f459(x92161,x92163,x92162))),f316(x92163,f465(x92161,x92163,x92162))),f316(x92163,f316(f316(f222(x92162),f459(x92161,x92163,x92162)),f465(x92161,x92163,x92162))))+E(f11(x92162,f222(x92162),f316(f299(x92162,x92162,x92163),x92161)),f316(x92163,f11(x92162,f222(x92162),x92161)))+~P107(f316(f54(x92162),x92161))
% 163.96/163.66 [9217]~P108(x92172)+E(x92171,f178(f905(x92172,a895)))+~E(f316(f316(f223(x92172),f316(x92173,f460(x92171,x92173,x92172))),f316(x92173,f463(x92171,x92173,x92172))),f316(x92173,f316(f316(f223(x92172),f460(x92171,x92173,x92172)),f463(x92171,x92173,x92172))))+E(f12(x92172,f223(x92172),f316(f299(x92172,x92172,x92173),x92171)),f316(x92173,f12(x92172,f223(x92172),x92171)))+~P107(f316(f54(x92172),x92171))
% 163.96/163.66 [6660]~P69(x66602)+E(x66601,f178(f905(x66602,a895)))+~P107(f316(f54(x66602),x66601))+E(f316(f56(x66602,f75(x66602)),f316(f316(f298(x66602),x66603),x66601)),f316(f316(f75(x66602),x66603),f316(f56(x66602,f75(x66602)),x66601)))+P107(f316(f316(f318(x66602),x66603),x66601))
% 163.96/163.66 [7193]~P84(x71932)+E(f316(f316(f100(x71932),f13(x71932,x71931)),f13(x71932,x71933)),f13(x71932,x71933))+E(x71931,f178(f905(x71932,a895)))+~P107(f316(f54(x71932),x71933))+~P107(f316(f316(f224(f905(x71932,a895)),x71931),x71933))
% 163.96/163.66 [7194]~P84(x71942)+E(f316(f316(f91(x71942),f10(x71942,x71941)),f10(x71942,x71943)),f10(x71942,x71943))+E(x71941,f178(f905(x71942,a895)))+~P107(f316(f54(x71942),x71943))+~P107(f316(f316(f224(f905(x71942,a895)),x71941),x71943))
% 163.96/163.66 [7195]~P108(x71952)+E(f316(f316(f222(x71952),f14(x71952,x71951)),f14(x71952,x71953)),f14(x71952,x71953))+E(x71951,f178(f905(x71952,a895)))+~P107(f316(f54(x71952),x71953))+~P107(f316(f316(f224(f905(x71952,a895)),x71951),x71953))
% 163.96/163.66 [7196]~P108(x71962)+E(f316(f316(f223(x71962),f15(x71962,x71961)),f15(x71962,x71963)),f15(x71962,x71963))+E(x71961,f178(f905(x71962,a895)))+~P107(f316(f54(x71962),x71963))+~P107(f316(f316(f224(f905(x71962,a895)),x71961),x71963))
% 163.96/163.66 [7502]~P108(x75022)+E(x75021,f178(f905(x75022,a895)))+~P107(f316(f54(x75022),x75023))+P107(f316(f316(f224(x75022),f14(x75022,x75023)),f14(x75022,x75021)))+~P107(f316(f316(f224(f905(x75022,a895)),x75021),x75023))
% 163.96/163.66 [7503]~P108(x75032)+E(x75031,f178(f905(x75032,a895)))+~P107(f316(f54(x75032),x75033))+P107(f316(f316(f224(x75032),f15(x75032,x75031)),f15(x75032,x75033)))+~P107(f316(f316(f224(f905(x75032,a895)),x75031),x75033))
% 163.96/163.66 [7557]~P84(x75571)+E(f10(x75571,x75572),x75573)+~P107(f316(f54(x75571),x75572))+~E(f316(f316(f23(f905(x75571,a895)),x75572),f316(f316(f298(x75571),x75573),f178(f905(x75571,a895)))),f178(f905(x75571,a895)))+~P107(f316(f316(f318(x75571),x75573),x75572))
% 163.96/163.66 [7558]~P84(x75581)+E(f13(x75581,x75582),x75583)+~P107(f316(f54(x75581),x75582))+~E(f316(f316(f23(f905(x75581,a895)),x75582),f316(f316(f298(x75581),x75583),f178(f905(x75581,a895)))),f178(f905(x75581,a895)))+~P107(f316(f316(f318(x75581),x75583),x75582))
% 163.96/163.66 [7559]~P108(x75591)+E(f14(x75591,x75592),x75593)+~P107(f316(f54(x75591),x75592))+~E(f316(f316(f23(f905(x75591,a895)),x75592),f316(f316(f298(x75591),x75593),f178(f905(x75591,a895)))),f178(f905(x75591,a895)))+~P107(f316(f316(f318(x75591),x75593),x75592))
% 163.96/163.66 [7560]~P108(x75601)+E(f15(x75601,x75602),x75603)+~P107(f316(f54(x75601),x75602))+~E(f316(f316(f23(f905(x75601,a895)),x75602),f316(f316(f298(x75601),x75603),f178(f905(x75601,a895)))),f178(f905(x75601,a895)))+~P107(f316(f316(f318(x75601),x75603),x75602))
% 163.96/163.66 [7655]~P108(x76551)+E(f11(x76551,f222(x76551),x76552),x76553)+~P107(f316(f54(x76551),x76552))+~E(f316(f316(f23(f905(x76551,a895)),x76552),f316(f316(f298(x76551),x76553),f178(f905(x76551,a895)))),f178(f905(x76551,a895)))+~P107(f316(f316(f318(x76551),x76553),x76552))
% 163.96/163.66 [7656]~P108(x76561)+E(f12(x76561,f223(x76561),x76562),x76563)+~P107(f316(f54(x76561),x76562))+~E(f316(f316(f23(f905(x76561,a895)),x76562),f316(f316(f298(x76561),x76563),f178(f905(x76561,a895)))),f178(f905(x76561,a895)))+~P107(f316(f316(f318(x76561),x76563),x76562))
% 163.96/163.66 [7691]~P103(x76912)+E(x76911,f178(f905(x76912,a895)))+~P107(f316(f54(x76912),x76911))+~P107(f316(f316(f224(x76912),x76913),f359(x76913,x76911,x76912)))+P107(f316(f316(f224(x76912),x76913),f316(f56(x76912,f91(x76912)),x76911)))
% 163.96/163.66 [7692]~P108(x76922)+E(x76921,f178(f905(x76922,a895)))+~P107(f316(f54(x76922),x76921))+~P107(f316(f316(f224(x76922),x76923),f393(x76923,x76921,x76922)))+P107(f316(f316(f224(x76922),x76923),f316(f56(x76922,f222(x76922)),x76921)))
% 163.96/163.66 [7693]~P108(x76932)+E(x76931,f178(f905(x76932,a895)))+~P107(f316(f54(x76932),x76931))+~P107(f316(f316(f225(x76932),x76933),f394(x76933,x76931,x76932)))+P107(f316(f316(f225(x76932),x76933),f316(f56(x76932,f222(x76932)),x76931)))
% 163.96/163.66 [7780]~P103(x77802)+E(x77801,f178(f905(x77802,a895)))+~P107(f316(f54(x77802),x77801))+P107(f316(f316(f318(x77802),f359(x77803,x77801,x77802)),x77801))+P107(f316(f316(f224(x77802),x77803),f316(f56(x77802,f91(x77802)),x77801)))
% 163.96/163.66 [7781]~P108(x77812)+E(x77811,f178(f905(x77812,a895)))+~P107(f316(f54(x77812),x77811))+P107(f316(f316(f318(x77812),f393(x77813,x77811,x77812)),x77811))+P107(f316(f316(f224(x77812),x77813),f316(f56(x77812,f222(x77812)),x77811)))
% 163.96/163.66 [7782]~P108(x77822)+E(x77821,f178(f905(x77822,a895)))+~P107(f316(f54(x77822),x77821))+P107(f316(f316(f318(x77822),f394(x77823,x77821,x77822)),x77821))+P107(f316(f316(f225(x77822),x77823),f316(f56(x77822,f222(x77822)),x77821)))
% 163.96/163.66 [7903]~P108(x79032)+E(x79031,f178(f905(x79032,a895)))+E(f316(f316(f222(x79032),f11(x79032,f222(x79032),x79031)),f11(x79032,f222(x79032),x79033)),f11(x79032,f222(x79032),x79033))+~P107(f316(f54(x79032),x79033))+~P107(f316(f316(f224(f905(x79032,a895)),x79031),x79033))
% 163.96/163.66 [7904]~P108(x79042)+E(x79041,f178(f905(x79042,a895)))+E(f316(f316(f223(x79042),f12(x79042,f223(x79042),x79041)),f12(x79042,f223(x79042),x79043)),f12(x79042,f223(x79042),x79043))+~P107(f316(f54(x79042),x79043))+~P107(f316(f316(f224(f905(x79042,a895)),x79041),x79043))
% 163.96/163.66 [8106]~E(f379(x81061,x81063,x81062),f380(x81061,x81063,x81062))+~E(f316(f28(x81062),f381(x81061,x81063,x81062)),x81061)+E(f316(f316(f75(a898),x81061),f316(f28(f905(x81062,a895)),x81063)),f316(f28(x81062),f30(f905(x81062,a895),x81063)))+~P107(f316(f54(x81062),f30(f905(x81062,a895),x81063)))+~P107(f316(f54(f905(x81062,a895)),x81063))
% 163.96/163.66 [8286]~P108(x82862)+E(x82861,f178(f905(x82862,a895)))+~P107(f316(f54(x82862),x82863))+P107(f316(f316(f224(x82862),f316(f56(x82862,f222(x82862)),x82863)),f316(f56(x82862,f222(x82862)),x82861)))+~P107(f316(f316(f224(f905(x82862,a895)),x82861),x82863))
% 163.96/163.66 [8585]~E(f379(x85851,x85853,x85852),f380(x85851,x85853,x85852))+E(f316(f316(f75(a898),x85851),f316(f28(f905(x85852,a895)),x85853)),f316(f28(x85852),f30(f905(x85852,a895),x85853)))+P107(f316(f316(f318(f905(x85852,a895)),f381(x85851,x85853,x85852)),x85853))+~P107(f316(f54(x85852),f30(f905(x85852,a895),x85853)))+~P107(f316(f54(f905(x85852,a895)),x85853))
% 163.96/163.66 [8611]~E(f316(f28(x86112),f381(x86111,x86113,x86112)),x86111)+E(f316(f316(f75(a898),x86111),f316(f28(f905(x86112,a895)),x86113)),f316(f28(x86112),f30(f905(x86112,a895),x86113)))+P107(f316(f316(f318(f905(x86112,a895)),f380(x86111,x86113,x86112)),x86113))+~P107(f316(f54(x86112),f30(f905(x86112,a895),x86113)))+~P107(f316(f54(f905(x86112,a895)),x86113))
% 163.96/163.66 [8612]~E(f316(f28(x86122),f381(x86121,x86123,x86122)),x86121)+E(f316(f316(f75(a898),x86121),f316(f28(f905(x86122,a895)),x86123)),f316(f28(x86122),f30(f905(x86122,a895),x86123)))+P107(f316(f316(f318(f905(x86122,a895)),f379(x86121,x86123,x86122)),x86123))+~P107(f316(f54(x86122),f30(f905(x86122,a895),x86123)))+~P107(f316(f54(f905(x86122,a895)),x86123))
% 163.96/163.66 [8636]~E(f316(f28(x86362),f381(x86361,x86363,x86362)),x86361)+~E(f316(f316(f91(f905(x86362,a895)),f380(x86361,x86363,x86362)),f379(x86361,x86363,x86362)),f178(f905(x86362,a895)))+E(f316(f316(f75(a898),x86361),f316(f28(f905(x86362,a895)),x86363)),f316(f28(x86362),f30(f905(x86362,a895),x86363)))+~P107(f316(f54(f905(x86362,a895)),x86363))+~P107(f316(f54(x86362),f30(f905(x86362,a895),x86363)))
% 163.96/163.66 [8905]E(f316(f316(f75(a898),x89051),f316(f28(f905(x89052,a895)),x89053)),f316(f28(x89052),f30(f905(x89052,a895),x89053)))+P107(f316(f316(f318(f905(x89052,a895)),f381(x89051,x89053,x89052)),x89053))+P107(f316(f316(f318(f905(x89052,a895)),f380(x89051,x89053,x89052)),x89053))+~P107(f316(f54(f905(x89052,a895)),x89053))+~P107(f316(f54(x89052),f30(f905(x89052,a895),x89053)))
% 163.96/163.66 [8906]E(f316(f316(f75(a898),x89061),f316(f28(f905(x89062,a895)),x89063)),f316(f28(x89062),f30(f905(x89062,a895),x89063)))+P107(f316(f316(f318(f905(x89062,a895)),f381(x89061,x89063,x89062)),x89063))+P107(f316(f316(f318(f905(x89062,a895)),f379(x89061,x89063,x89062)),x89063))+~P107(f316(f54(f905(x89062,a895)),x89063))+~P107(f316(f54(x89062),f30(f905(x89062,a895),x89063)))
% 163.96/163.66 [8932]~E(f316(f316(f91(f905(x89322,a895)),f380(x89321,x89323,x89322)),f379(x89321,x89323,x89322)),f178(f905(x89322,a895)))+E(f316(f316(f75(a898),x89321),f316(f28(f905(x89322,a895)),x89323)),f316(f28(x89322),f30(f905(x89322,a895),x89323)))+~P107(f316(f54(f905(x89322,a895)),x89323))+P107(f316(f316(f318(f905(x89322,a895)),f381(x89321,x89323,x89322)),x89323))+~P107(f316(f54(x89322),f30(f905(x89322,a895),x89323)))
% 163.96/163.66 [9191]~P99(x91912)+E(x91911,f178(f905(x91912,a895)))+~E(f316(f316(f75(x91912),f316(x91913,f382(x91911,x91913,x91912))),f316(x91913,f383(x91911,x91913,x91912))),f316(x91913,f316(f316(f75(x91912),f382(x91911,x91913,x91912)),f383(x91911,x91913,x91912))))+~P107(f316(f54(x91912),x91911))+E(f316(f56(x91912,f75(x91912)),f316(f299(x91912,x91912,x91913),x91911)),f316(x91913,f316(f56(x91912,f75(x91912)),x91911)))
% 163.96/163.66 [10134]P107(f316(f316(x101341,x101342),x101343))+P107(f316(f316(f225(a1),f451(x101341,x101343,x101342)),f452(x101341,x101343,x101342)))+P107(f316(f316(f224(a1),f452(x101341,x101343,x101342)),f2(a1)))+P107(f316(f316(x101341,f451(x101341,x101343,x101342)),f316(f316(f75(a1),f316(f93(a1),f316(f316(f74(a1),f316(f316(f23(a1),f316(f316(f74(a1),a77),a77)),a87)),f316(f316(f23(a1),f316(f316(f74(a1),a77),a77)),a87)))),f452(x101341,x101343,x101342))))+~P107(f316(f304(f904(a1,a1),a51),f316(f316(f241(a1,a1),x101342),x101343)))
% 163.96/163.66 [10140]P107(f316(f316(x101401,x101402),x101403))+P107(f316(f316(f224(a1),f454(x101401,x101403,x101402)),f2(a1)))+P107(f316(f316(x101401,f453(x101401,x101403,x101402)),f316(f316(f75(a1),f316(f93(a1),f316(f316(f74(a1),f316(f316(f23(a1),f316(f316(f74(a1),a77),a77)),a87)),f316(f316(f23(a1),f316(f316(f74(a1),a77),a77)),a87)))),f454(x101401,x101403,x101402))))+P107(f316(f316(f224(a1),f2(a1)),f316(f316(f74(a1),f453(x101401,x101403,x101402)),f454(x101401,x101403,x101402))))+~P107(f316(f304(f904(a1,a1),a45),f316(f316(f241(a1,a1),x101402),x101403)))
% 163.96/163.66 [8077]~P123(x80771)+~P107(f316(f316(f224(x80771),x80772),f72(x80771)))+~P107(f316(f316(f224(x80771),f2(x80771)),x80772))+~P107(f316(f316(f224(x80771),f2(x80771)),x80773))+P107(f316(f316(f224(x80771),f316(f316(f75(x80771),x80772),x80773)),x80773))
% 163.96/163.66 [8078]~P123(x80781)+~P107(f316(f316(f224(x80781),x80783),f72(x80781)))+~P107(f316(f316(f224(x80781),f2(x80781)),x80783))+~P107(f316(f316(f224(x80781),f2(x80781)),x80782))+P107(f316(f316(f224(x80781),f316(f316(f75(x80781),x80782),x80783)),x80782))
% 163.96/163.66 [8432]~P108(x84322)+E(x84321,f178(f905(x84322,a895)))+~P107(f316(f54(x84322),x84321))+P107(f316(f316(f318(x84322),f395(x84323,x84321,x84322)),x84321))+~P107(f316(f316(f224(x84322),f316(f56(x84322,f222(x84322)),x84321)),x84323))
% 163.96/163.66 [8433]~P108(x84332)+E(x84331,f178(f905(x84332,a895)))+~P107(f316(f54(x84332),x84331))+P107(f316(f316(f318(x84332),f396(x84333,x84331,x84332)),x84331))+~P107(f316(f316(f225(x84332),f316(f56(x84332,f222(x84332)),x84331)),x84333))
% 163.96/163.66 [8434]~P108(x84342)+E(x84341,f178(f905(x84342,a895)))+~P107(f316(f54(x84342),x84341))+P107(f316(f316(f224(x84342),f395(x84343,x84341,x84342)),x84343))+~P107(f316(f316(f224(x84342),f316(f56(x84342,f222(x84342)),x84341)),x84343))
% 163.96/163.66 [8435]~P108(x84352)+E(x84351,f178(f905(x84352,a895)))+~P107(f316(f54(x84352),x84351))+P107(f316(f316(f225(x84352),f396(x84353,x84351,x84352)),x84353))+~P107(f316(f316(f225(x84352),f316(f56(x84352,f222(x84352)),x84351)),x84353))
% 163.96/163.66 [8521]~P107(f316(x85211,x85213))+P107(f316(x85211,f513(x85211,x85212)))+P107(f316(x85211,f497(x85211,x85212)))+~P107(f316(f316(f225(a1),f2(a1)),x85212))+P107(f316(x85211,f316(f316(f23(a1),f497(x85211,x85212)),f316(f316(f75(a1),f514(x85211,x85212)),x85212))))
% 163.96/163.66 [8740]~P107(f316(x87401,x87403))+P107(f316(x87401,f497(x87401,x87402)))+~P107(f316(f316(f225(a1),f2(a1)),x87402))+P107(f316(f316(f318(a1),f513(x87401,x87402)),f292(a1,f72(a1),x87402)))+P107(f316(x87401,f316(f316(f23(a1),f497(x87401,x87402)),f316(f316(f75(a1),f514(x87401,x87402)),x87402))))
% 163.96/163.66 [8954]~P107(f316(x89541,x89543))+~P107(f316(x89541,f497(x89541,x89542)))+P107(f316(x89541,f513(x89541,x89542)))+~P107(f316(f316(f225(a1),f2(a1)),x89542))+~P107(f316(x89541,f316(f316(f23(a1),f497(x89541,x89542)),f316(f316(f75(a1),f514(x89541,x89542)),x89542))))
% 163.96/163.66 [9082]~P107(f316(x90821,x90823))+~P107(f316(x90821,f497(x90821,x90822)))+~P107(f316(f316(f225(a1),f2(a1)),x90822))+P107(f316(f316(f318(a1),f513(x90821,x90822)),f292(a1,f72(a1),x90822)))+~P107(f316(x90821,f316(f316(f23(a1),f497(x90821,x90822)),f316(f316(f75(a1),f514(x90821,x90822)),x90822))))
% 163.96/163.66 [8860]~P84(x88601)+~P107(f316(f54(x88601),x88602))+E(f316(f316(f23(f905(x88601,a895)),x88602),f316(f316(f298(x88601),x88603),f178(f905(x88601,a895)))),f178(f905(x88601,a895)))+~P107(f316(f316(f318(x88601),x88603),x88602))+E(f316(f316(f91(x88601),x88603),f10(x88601,f316(f316(f23(f905(x88601,a895)),x88602),f316(f316(f298(x88601),x88603),f178(f905(x88601,a895)))))),f10(x88601,x88602))
% 163.96/163.66 [8861]~P84(x88611)+~P107(f316(f54(x88611),x88612))+E(f316(f316(f23(f905(x88611,a895)),x88612),f316(f316(f298(x88611),x88613),f178(f905(x88611,a895)))),f178(f905(x88611,a895)))+~P107(f316(f316(f318(x88611),x88613),x88612))+E(f316(f316(f100(x88611),x88613),f13(x88611,f316(f316(f23(f905(x88611,a895)),x88612),f316(f316(f298(x88611),x88613),f178(f905(x88611,a895)))))),f13(x88611,x88612))
% 163.96/163.66 [8862]~P108(x88621)+~P107(f316(f54(x88621),x88622))+E(f316(f316(f23(f905(x88621,a895)),x88622),f316(f316(f298(x88621),x88623),f178(f905(x88621,a895)))),f178(f905(x88621,a895)))+~P107(f316(f316(f318(x88621),x88623),x88622))+E(f316(f316(f222(x88621),x88623),f14(x88621,f316(f316(f23(f905(x88621,a895)),x88622),f316(f316(f298(x88621),x88623),f178(f905(x88621,a895)))))),f14(x88621,x88622))
% 163.96/163.66 [8863]~P108(x88631)+~P107(f316(f54(x88631),x88632))+E(f316(f316(f23(f905(x88631,a895)),x88632),f316(f316(f298(x88631),x88633),f178(f905(x88631,a895)))),f178(f905(x88631,a895)))+~P107(f316(f316(f318(x88631),x88633),x88632))+E(f316(f316(f223(x88631),x88633),f15(x88631,f316(f316(f23(f905(x88631,a895)),x88632),f316(f316(f298(x88631),x88633),f178(f905(x88631,a895)))))),f15(x88631,x88632))
% 163.96/163.66 [8925]~P108(x89251)+~P107(f316(f54(x89251),x89252))+E(f316(f316(f23(f905(x89251,a895)),x89252),f316(f316(f298(x89251),x89253),f178(f905(x89251,a895)))),f178(f905(x89251,a895)))+~P107(f316(f316(f318(x89251),x89253),x89252))+E(f316(f316(f222(x89251),x89253),f11(x89251,f222(x89251),f316(f316(f23(f905(x89251,a895)),x89252),f316(f316(f298(x89251),x89253),f178(f905(x89251,a895)))))),f11(x89251,f222(x89251),x89252))
% 163.96/163.66 [8926]~P108(x89261)+~P107(f316(f54(x89261),x89262))+E(f316(f316(f23(f905(x89261,a895)),x89262),f316(f316(f298(x89261),x89263),f178(f905(x89261,a895)))),f178(f905(x89261,a895)))+~P107(f316(f316(f318(x89261),x89263),x89262))+E(f316(f316(f223(x89261),x89263),f12(x89261,f223(x89261),f316(f316(f23(f905(x89261,a895)),x89262),f316(f316(f298(x89261),x89263),f178(f905(x89261,a895)))))),f12(x89261,f223(x89261),x89262))
% 163.96/163.66 [8941]~P84(x89411)+~P107(f316(f54(x89411),x89413))+~P107(f316(f54(x89411),x89412))+E(f316(f316(f91(f905(x89411,a895)),x89412),x89413),f178(f905(x89411,a895)))+E(f316(f316(f100(x89411),f13(x89411,f316(f316(f100(f905(x89411,a895)),x89412),x89413))),f13(x89411,f316(f316(f91(f905(x89411,a895)),x89412),x89413))),f316(f316(f100(x89411),f13(x89411,x89412)),f13(x89411,x89413)))
% 163.96/163.66 [8942]~P84(x89421)+~P107(f316(f54(x89421),x89423))+~P107(f316(f54(x89421),x89422))+E(f316(f316(f91(f905(x89421,a895)),x89422),x89423),f178(f905(x89421,a895)))+E(f316(f316(f91(x89421),f10(x89421,f316(f316(f100(f905(x89421,a895)),x89422),x89423))),f10(x89421,f316(f316(f91(f905(x89421,a895)),x89422),x89423))),f316(f316(f91(x89421),f10(x89421,x89422)),f10(x89421,x89423)))
% 163.96/163.66 [8943]~P108(x89431)+~P107(f316(f54(x89431),x89433))+~P107(f316(f54(x89431),x89432))+E(f316(f316(f91(f905(x89431,a895)),x89432),x89433),f178(f905(x89431,a895)))+E(f316(f316(f222(x89431),f14(x89431,f316(f316(f100(f905(x89431,a895)),x89432),x89433))),f14(x89431,f316(f316(f91(f905(x89431,a895)),x89432),x89433))),f316(f316(f222(x89431),f14(x89431,x89432)),f14(x89431,x89433)))
% 163.96/163.66 [8944]~P108(x89441)+~P107(f316(f54(x89441),x89443))+~P107(f316(f54(x89441),x89442))+E(f316(f316(f91(f905(x89441,a895)),x89442),x89443),f178(f905(x89441,a895)))+E(f316(f316(f223(x89441),f15(x89441,f316(f316(f100(f905(x89441,a895)),x89442),x89443))),f15(x89441,f316(f316(f91(f905(x89441,a895)),x89442),x89443))),f316(f316(f223(x89441),f15(x89441,x89442)),f15(x89441,x89443)))
% 163.96/163.66 [9163]~P108(x91631)+~P107(f316(f54(x91631),x91633))+~P107(f316(f54(x91631),x91632))+E(f316(f316(f91(f905(x91631,a895)),x91632),x91633),f178(f905(x91631,a895)))+E(f316(f316(f222(x91631),f11(x91631,f222(x91631),f316(f316(f100(f905(x91631,a895)),x91632),x91633))),f11(x91631,f222(x91631),f316(f316(f91(f905(x91631,a895)),x91632),x91633))),f316(f316(f222(x91631),f11(x91631,f222(x91631),x91632)),f11(x91631,f222(x91631),x91633)))
% 163.96/163.66 [9164]~P108(x91641)+~P107(f316(f54(x91641),x91643))+~P107(f316(f54(x91641),x91642))+E(f316(f316(f91(f905(x91641,a895)),x91642),x91643),f178(f905(x91641,a895)))+E(f316(f316(f223(x91641),f12(x91641,f223(x91641),f316(f316(f100(f905(x91641,a895)),x91642),x91643))),f12(x91641,f223(x91641),f316(f316(f91(f905(x91641,a895)),x91642),x91643))),f316(f316(f223(x91641),f12(x91641,f223(x91641),x91642)),f12(x91641,f223(x91641),x91643)))
% 163.96/163.66 [9971]~P126(x99713)+E(x99711,x99712)+~P107(f316(f316(f224(x99713),f2(x99713)),x99712))+~P107(f316(f316(f224(x99713),f2(x99713)),x99711))+~E(f316(f316(f233(x99713),x99711),f316(f93(a898),f316(f316(f74(a1),f316(f316(f23(a1),f316(f316(f74(a1),a77),a77)),a87)),f316(f316(f23(a1),f316(f316(f74(a1),a77),a77)),a87)))),f316(f316(f233(x99713),x99712),f316(f93(a898),f316(f316(f74(a1),f316(f316(f23(a1),f316(f316(f74(a1),a77),a77)),a87)),f316(f316(f23(a1),f316(f316(f74(a1),a77),a77)),a87)))))
% 163.96/163.66 [5980]~P62(x59802)+E(x59801,f2(x59802))+~E(f316(f316(f29(x59802),x59803),x59801),x59804)+E(x59803,f316(f316(f75(x59802),x59804),x59801))+~P107(f316(f316(f276(x59802),x59801),x59803))
% 163.96/163.66 [5981]~P62(x59812)+E(x59811,f2(x59812))+~E(x59813,f316(f316(f75(x59812),x59814),x59811))+E(f316(f316(f29(x59812),x59813),x59811),x59814)+~P107(f316(f316(f276(x59812),x59811),x59813))
% 163.96/163.66 [6453]E(f492(x64531,x64532,x64533),x64534)+E(f316(x64531,x64534),f2(a898))+~E(f316(f316(f6(x64533,a898),x64531),x64532),f72(a898))+~P107(f316(f54(x64533),x64532))+~P107(f316(f316(f318(x64533),x64534),x64532))
% 163.96/163.66 [6518]E(f527(x65181,x65182,x65183),x65184)+E(f316(x65181,x65184),f2(a898))+~E(f316(f316(f6(x65183,a898),x65181),x65182),f316(a102,f2(a898)))+~P107(f316(f54(x65183),x65182))+~P107(f316(f316(f318(x65183),x65184),x65182))
% 163.96/163.66 [6629]~P2(x66291)+~P108(x66291)+P107(f316(f316(f225(x66291),x66292),f30(x66291,x66293)))+~P107(f316(f316(f225(x66291),x66292),x66294))+~P107(f316(f316(f318(x66291),x66294),x66293))
% 163.96/163.66 [6806]~P2(x68061)+~P108(x68061)+~P107(f316(f316(f225(x68061),x68064),x68063))+P107(f316(f316(f225(x68061),f31(x68061,x68062)),x68063))+~P107(f316(f316(f318(x68061),x68064),x68062))
% 163.96/163.66 [7070]~P126(x70703)+E(x70701,x70702)+~E(f316(f316(f233(x70703),x70701),f316(a102,x70704)),f316(f316(f233(x70703),x70702),f316(a102,x70704)))+~P107(f316(f316(f224(x70703),f2(x70703)),x70702))+~P107(f316(f316(f224(x70703),f2(x70703)),x70701))
% 163.96/163.66 [7284]~E(f531(x72842,x72843,x72841,x72844),x72844)+~E(f316(x72842,x72844),f72(a898))+E(f316(f316(f6(x72841,a898),x72842),x72843),f72(a898))+~P107(f316(f54(x72841),x72843))+~P107(f316(f316(f318(x72841),x72844),x72843))
% 163.96/163.66 [7291]~P117(x72914)+~P130(x72914)+E(f316(x72911,f448(x72911,x72912,x72913,x72914)),f2(x72914))+~E(f316(f316(f9(x72913,x72914),x72911),x72912),f2(x72914))+~P107(f316(f54(x72913),x72912))
% 163.96/163.66 [7381]~E(f528(x73812,x73813,x73811,x73814),x73814)+~E(f316(x73812,x73814),f316(a102,f2(a898)))+E(f316(f316(f6(x73811,a898),x73812),x73813),f316(a102,f2(a898)))+~P107(f316(f54(x73811),x73813))+~P107(f316(f316(f318(x73811),x73814),x73813))
% 163.96/163.66 [8118]~E(f316(x81182,x81184),f72(a898))+~E(f316(x81182,f531(x81182,x81183,x81181,x81184)),f2(a898))+E(f316(f316(f6(x81181,a898),x81182),x81183),f72(a898))+~P107(f316(f54(x81181),x81183))+~P107(f316(f316(f318(x81181),x81184),x81183))
% 163.96/163.66 [8156]~E(f316(x81562,x81564),f316(a102,f2(a898)))+~E(f316(x81562,f528(x81562,x81563,x81561,x81564)),f2(a898))+E(f316(f316(f6(x81561,a898),x81562),x81563),f316(a102,f2(a898)))+~P107(f316(f54(x81561),x81563))+~P107(f316(f316(f318(x81561),x81564),x81563))
% 163.96/163.66 [8706]~P108(x87061)+~P10(x87061,x87064)+P10(x87061,x87062)+~E(x87062,f316(f316(f141(x87061),x87063),x87064))+~P107(f316(f316(f224(x87061),x87063),f721(x87062,x87061,x87064,x87063)))
% 163.96/163.66 [8744]E(x87441,x87442)+E(f316(f316(f23(a1),f498(x87443,x87442,x87444,x87441)),f499(x87443,x87442,x87444,x87441)),x87441)+~E(f316(f316(f74(a1),x87441),x87444),x87442)+~P107(f316(f316(f225(a1),f2(a1)),x87444))+~P107(f316(f316(f318(a1),x87442),x87443))
% 163.96/163.66 [8745]E(x87451,x87452)+E(f316(f316(f74(a1),f505(x87453,x87452,x87454,x87451)),f506(x87453,x87452,x87454,x87451)),x87451)+~E(f316(f316(f23(a1),x87451),x87454),x87452)+~P107(f316(f316(f225(a1),f2(a1)),x87454))+~P107(f316(f316(f318(a1),x87452),x87453))
% 163.96/163.66 [8939]E(f316(x89391,f622(x89392,x89391,x89393,x89394)),x89392)+P107(f316(f316(f224(a898),x89394),f623(x89392,x89391,x89393,x89394)))+~P107(f316(f316(f224(a1),x89392),f316(x89391,x89393)))+~P107(f316(f316(f225(a898),x89394),x89393))+~P107(f316(f316(f224(a1),f316(x89391,x89394)),x89392))
% 163.96/163.66 [8940]~P108(x89401)+~P10(x89401,x89403)+P10(x89401,x89402)+~E(x89402,f316(f316(f141(x89401),x89404),x89403))+P107(f316(f316(f318(x89401),f721(x89402,x89401,x89403,x89404)),f316(f162(x89401),x89403)))
% 163.96/163.66 [8958]~P117(x89584)+~P130(x89584)+~E(f316(f316(f9(x89581,x89584),x89582),x89583),f2(x89584))+~P107(f316(f54(x89581),x89583))+P107(f316(f316(f318(x89581),f448(x89582,x89583,x89581,x89584)),x89583))
% 163.96/163.66 [8996]~E(f316(x89962,x89964),f72(a898))+E(f316(f316(f6(x89961,a898),x89962),x89963),f72(a898))+~P107(f316(f54(x89961),x89963))+~P107(f316(f316(f318(x89961),x89964),x89963))+P107(f316(f316(f318(x89961),f531(x89962,x89963,x89961,x89964)),x89963))
% 163.96/163.66 [9008]E(x90081,x90082)+~E(f316(f316(f74(a1),x90082),x90084),x90081)+~P107(f316(f316(f225(a1),f2(a1)),x90084))+~P107(f316(f316(f318(a1),x90081),x90083))+P107(f316(f316(f318(a1),f498(x90083,x90081,x90084,x90082)),x90083))
% 163.96/163.66 [9009]E(x90091,x90092)+~E(f316(f316(f23(a1),x90092),x90094),x90091)+~P107(f316(f316(f225(a1),f2(a1)),x90094))+~P107(f316(f316(f318(a1),x90091),x90093))+P107(f316(f316(f318(a1),f505(x90093,x90091,x90094,x90092)),x90093))
% 163.96/163.66 [9011]~E(f316(x90112,x90114),f316(a102,f2(a898)))+E(f316(f316(f6(x90111,a898),x90112),x90113),f316(a102,f2(a898)))+~P107(f316(f54(x90111),x90113))+~P107(f316(f316(f318(x90111),x90114),x90113))+P107(f316(f316(f318(x90111),f528(x90112,x90113,x90111,x90114)),x90113))
% 163.96/163.66 [9016]P57(x90162,x90163,x90164,x90161)+E(x90161,f178(f905(x90162,a895)))+~P107(f316(f54(x90162),x90164))+~P107(f316(f54(x90162),x90161))+P107(f316(f316(f318(x90162),f790(x90163,x90161,x90164,x90162)),x90164))
% 163.96/163.66 [9017]P57(x90172,x90173,x90174,x90171)+E(x90171,f178(f905(x90172,a895)))+~P107(f316(f54(x90172),x90174))+~P107(f316(f54(x90172),x90171))+P107(f316(f316(f318(x90172),f354(x90171,x90174,x90173,x90172)),x90174))
% 163.96/163.66 [9018]P57(x90182,x90183,x90184,x90181)+E(x90181,f178(f905(x90182,a895)))+~P107(f316(f54(x90182),x90184))+~P107(f316(f54(x90182),x90181))+P107(f316(f316(f318(x90182),f791(x90181,x90184,x90183,x90182)),x90184))
% 163.96/163.66 [9095]E(x90951,x90952)+~E(f316(f316(f74(a1),x90952),x90954),x90951)+~P107(f316(f316(f225(a1),f2(a1)),x90954))+~P107(f316(f316(f318(a1),x90951),x90953))+P107(f316(f316(f318(a1),f499(x90953,x90951,x90954,x90952)),f292(a1,f72(a1),x90954)))
% 163.96/163.66 [9096]E(x90961,x90962)+~E(f316(f316(f23(a1),x90962),x90964),x90961)+~P107(f316(f316(f225(a1),f2(a1)),x90964))+~P107(f316(f316(f318(a1),x90961),x90963))+P107(f316(f316(f318(a1),f506(x90963,x90961,x90964,x90962)),f292(a1,f72(a1),x90964)))
% 163.96/163.66 [9169]P107(f316(f316(f224(a898),x91691),f622(x91692,x91693,x91694,x91691)))+~P107(f316(f316(f224(a1),x91692),f316(x91693,x91694)))+P107(f316(f316(f224(a898),x91691),f623(x91692,x91693,x91694,x91691)))+~P107(f316(f316(f225(a898),x91691),x91694))+~P107(f316(f316(f224(a1),f316(x91693,x91691)),x91692))
% 163.96/163.66 [9283]E(f316(x92831,f622(x92832,x92831,x92833,x92834)),x92832)+~P107(f316(f316(f224(a1),x92832),f316(x92831,x92833)))+P107(f316(f316(f225(a898),f623(x92832,x92831,x92833,x92834)),x92833))+~P107(f316(f316(f225(a898),x92834),x92833))+~P107(f316(f316(f224(a1),f316(x92831,x92834)),x92832))
% 163.96/163.66 [9396]~P107(f316(f316(f276(a898),x93964),x93961))+~P107(f316(f316(f276(a898),x93964),x93963))+~P107(f316(f316(f276(a898),x93962),x93961))+P107(f316(f316(f276(a898),x93961),x93962))+P107(f316(f316(f225(f905(a898,a895)),f279(a898,f276(a898),x93963,x93962)),f279(a898,f276(a898),x93964,x93961)))
% 163.96/163.66 [9397]~P107(f316(f316(f276(a898),x93972),x93971))+~P107(f316(f316(f276(a898),x93973),x93974))+~P107(f316(f316(f276(a898),x93972),x93974))+P107(f316(f316(f276(a898),x93971),x93972))+P107(f316(f316(f225(f905(a898,a895)),f279(a898,f276(a898),x93971,x93973)),f279(a898,f276(a898),x93972,x93974)))
% 163.96/163.66 [9414]~P107(f316(f316(f224(a1),x94142),f316(x94143,x94144)))+P107(f316(f316(f224(a898),x94141),f623(x94142,x94143,x94144,x94141)))+P107(f316(f316(f224(a898),f622(x94142,x94143,x94144,x94141)),x94144))+~P107(f316(f316(f225(a898),x94141),x94144))+~P107(f316(f316(f224(a1),f316(x94143,x94141)),x94142))
% 163.96/163.66 [9415]~P107(f316(f316(f224(a1),x94152),f316(x94153,x94154)))+P107(f316(f316(f224(a898),x94151),f622(x94152,x94153,x94154,x94151)))+P107(f316(f316(f225(a898),f623(x94152,x94153,x94154,x94151)),x94154))+~P107(f316(f316(f225(a898),x94151),x94154))+~P107(f316(f316(f224(a1),f316(x94153,x94151)),x94152))
% 163.96/163.66 [9523]~P107(f316(f316(f224(a1),x95231),f316(x95232,x95233)))+P107(f316(f316(f225(a898),f623(x95231,x95232,x95233,x95234)),x95233))+~P107(f316(f316(f225(a898),x95234),x95233))+~P107(f316(f316(f224(a1),f316(x95232,x95234)),x95231))+P107(f316(f316(f224(a898),f622(x95231,x95232,x95233,x95234)),x95233))
% 163.96/163.66 [9615]E(x96151,f178(f905(x96152,a895)))+~P107(f316(f54(x96152),x96154))+~P107(f316(f54(x96152),x96151))+P107(f316(f316(f318(f904(f905(x96152,a895),f905(x96152,a895))),f316(f316(f241(f905(x96152,a895),f905(x96152,a895)),x96154),x96151)),f307(x96152,x96153)))+P107(f316(f316(f318(x96152),f356(x96153,x96151,x96154,x96152)),x96154))
% 163.96/163.66 [9616]E(x96161,f178(f905(x96162,a895)))+~P107(f316(f54(x96162),x96164))+~P107(f316(f54(x96162),x96161))+P107(f316(f316(f318(f904(f905(x96162,a895),f905(x96162,a895))),f316(f316(f241(f905(x96162,a895),f905(x96162,a895)),x96164),x96161)),f307(x96162,x96163)))+P107(f316(f316(f318(x96162),f596(x96163,x96161,x96164,x96162)),x96164))
% 163.96/163.66 [10296]E(f316(x102961,f622(x102962,x102961,x102963,x102964)),x102962)+~P107(f316(f316(f224(a1),x102962),f316(x102961,x102963)))+~P107(f316(f316(f224(a1),f316(f69(a1),f316(f316(f23(a1),f316(x102961,f316(f316(f74(a898),f623(x102962,x102961,x102963,x102964)),f72(a898)))),f316(x102961,f623(x102962,x102961,x102963,x102964))))),f72(a1)))+~P107(f316(f316(f225(a898),x102964),x102963))+~P107(f316(f316(f224(a1),f316(x102961,x102964)),x102962))
% 163.96/163.66 [10297]~P107(f316(f316(f224(a1),x102972),f316(x102973,x102974)))+P107(f316(f316(f224(a898),x102971),f622(x102972,x102973,x102974,x102971)))+~P107(f316(f316(f224(a1),f316(f69(a1),f316(f316(f23(a1),f316(x102973,f316(f316(f74(a898),f623(x102972,x102973,x102974,x102971)),f72(a898)))),f316(x102973,f623(x102972,x102973,x102974,x102971))))),f72(a1)))+~P107(f316(f316(f225(a898),x102971),x102974))+~P107(f316(f316(f224(a1),f316(x102973,x102971)),x102972))
% 163.96/163.66 [10298]~P107(f316(f316(f224(a1),x102981),f316(x102982,x102983)))+~P107(f316(f316(f224(a1),f316(f69(a1),f316(f316(f23(a1),f316(x102982,f316(f316(f74(a898),f623(x102981,x102982,x102983,x102984)),f72(a898)))),f316(x102982,f623(x102981,x102982,x102983,x102984))))),f72(a1)))+~P107(f316(f316(f225(a898),x102984),x102983))+~P107(f316(f316(f224(a1),f316(x102982,x102984)),x102981))+P107(f316(f316(f224(a898),f622(x102981,x102982,x102983,x102984)),x102983))
% 163.96/163.66 [7344]~P67(x73441)+P107(f316(f316(f225(x73441),x73442),f2(x73441)))+~P107(f316(f316(f224(x73441),x73443),f2(x73441)))+P107(f316(f316(f225(x73441),f2(x73441)),x73442))+P107(f316(f316(f224(x73441),x73443),f316(f316(f280(x73441),x73444),x73442)))
% 163.96/163.66 [7345]~P67(x73451)+P107(f316(f316(f225(x73451),x73452),f2(x73451)))+~P107(f316(f316(f225(x73451),x73453),f2(x73451)))+P107(f316(f316(f225(x73451),f2(x73451)),x73452))+P107(f316(f316(f225(x73451),x73453),f316(f316(f280(x73451),x73454),x73452)))
% 163.96/163.66 [7594]~P67(x75941)+P107(f316(f316(f224(x75941),x75942),f2(x75941)))+P107(f316(f316(f225(x75941),x75943),f2(x75941)))+P107(f316(f316(f225(x75941),f2(x75941)),x75943))+~P107(f316(f316(f224(x75941),x75942),f316(f316(f280(x75941),x75944),x75943)))
% 163.96/163.66 [7595]~P67(x75951)+P107(f316(f316(f225(x75951),x75952),f2(x75951)))+P107(f316(f316(f225(x75951),x75953),f2(x75951)))+P107(f316(f316(f225(x75951),f2(x75951)),x75953))+~P107(f316(f316(f225(x75951),x75952),f316(f316(f280(x75951),x75954),x75953)))
% 163.96/163.66 [7712]E(x77121,x77122)+~E(f316(f316(f154(x77123),x77124),x77121),f316(f316(f154(x77123),x77124),x77122))+~P107(f316(f127(x77123),x77124))+~P107(f316(f316(f225(a898),x77122),f316(f179(f899(x77123)),x77124)))+~P107(f316(f316(f225(a898),x77121),f316(f179(f899(x77123)),x77124)))
% 163.96/163.66 [8079]~P67(x80791)+~P107(f316(f316(f224(x80791),x80793),f2(x80791)))+P107(f316(f316(f225(x80791),f2(x80791)),x80792))+~P107(f316(f316(f224(x80791),x80794),f316(f316(f75(x80791),x80793),x80792)))+P107(f316(f316(f224(x80791),x80793),f316(f316(f280(x80791),x80794),x80792)))
% 163.96/163.66 [8080]~P67(x80801)+~P107(f316(f316(f225(x80801),x80803),f2(x80801)))+P107(f316(f316(f225(x80801),f2(x80801)),x80802))+~P107(f316(f316(f225(x80801),x80804),f316(f316(f75(x80801),x80803),x80802)))+P107(f316(f316(f225(x80801),x80803),f316(f316(f280(x80801),x80804),x80802)))
% 163.96/163.66 [8081]~P67(x80811)+~P107(f316(f316(f225(x80811),x80812),f2(x80811)))+P107(f316(f316(f225(x80811),f2(x80811)),x80812))+~P107(f316(f316(f224(x80811),x80814),f316(f316(f75(x80811),x80813),x80812)))+P107(f316(f316(f224(x80811),x80813),f316(f316(f280(x80811),x80814),x80812)))
% 163.96/163.66 [8082]~P67(x80821)+~P107(f316(f316(f225(x80821),x80822),f2(x80821)))+P107(f316(f316(f225(x80821),f2(x80821)),x80822))+~P107(f316(f316(f224(x80821),x80824),f316(f316(f280(x80821),x80823),x80822)))+P107(f316(f316(f224(x80821),x80823),f316(f316(f75(x80821),x80824),x80822)))
% 163.96/163.66 [8083]~P67(x80831)+~P107(f316(f316(f225(x80831),x80832),f2(x80831)))+P107(f316(f316(f225(x80831),f2(x80831)),x80832))+~P107(f316(f316(f225(x80831),x80834),f316(f316(f75(x80831),x80833),x80832)))+P107(f316(f316(f225(x80831),x80833),f316(f316(f280(x80831),x80834),x80832)))
% 163.96/163.66 [8084]~P67(x80841)+~P107(f316(f316(f225(x80841),x80842),f2(x80841)))+P107(f316(f316(f225(x80841),f2(x80841)),x80842))+~P107(f316(f316(f225(x80841),x80844),f316(f316(f280(x80841),x80843),x80842)))+P107(f316(f316(f225(x80841),x80843),f316(f316(f75(x80841),x80844),x80842)))
% 163.96/163.66 [8210]~P62(x82101)+~P107(f316(f316(f276(x82101),x82103),x82104))+~P107(f316(f316(f276(x82101),x82103),x82102))+~P107(f316(f316(f276(x82101),x82102),x82104))+P107(f316(f316(f276(x82101),f316(f316(f29(x82101),x82102),x82103)),f316(f316(f29(x82101),x82104),x82103)))
% 163.96/163.66 [8225]~P108(x82251)+~P10(x82251,x82252)+~P107(f316(f316(f224(a898),x82253),x82254))+P107(f316(f316(f224(x82251),f316(f316(f154(x82251),x82252),x82253)),f316(f316(f154(x82251),x82252),x82254)))+~P107(f316(f316(f225(a898),x82254),f316(f179(f899(x82251)),x82252)))
% 163.96/163.66 [8277]~P126(x82771)+~P107(f316(f316(f224(x82771),x82772),f72(x82771)))+~P107(f316(f316(f224(x82771),f2(x82771)),x82772))+~P107(f316(f316(f224(a898),x82774),x82773))+P107(f316(f316(f224(x82771),f316(f316(f233(x82771),x82772),x82773)),f316(f316(f233(x82771),x82772),x82774)))
% 163.96/163.66 [8278]~P126(x82781)+~P107(f316(f316(f225(x82781),x82782),f72(x82781)))+~P107(f316(f316(f225(x82781),f2(x82781)),x82782))+~P107(f316(f316(f225(a898),x82784),x82783))+P107(f316(f316(f225(x82781),f316(f316(f233(x82781),x82782),x82783)),f316(f316(f233(x82781),x82782),x82784)))
% 163.96/163.66 [8279]~P126(x82791)+~P107(f316(f316(f224(x82791),f2(x82791)),x82792))+~P107(f316(f316(f225(a898),f2(a898)),x82793))+~P107(f316(f316(f225(x82791),x82792),x82794))+P107(f316(f316(f225(x82791),f316(f316(f233(x82791),x82792),x82793)),f316(f316(f233(x82791),x82794),x82793)))
% 163.96/163.66 [8297]~P108(x82971)+~P10(x82971,f316(f158(x82971),x82972))+~P107(f316(f316(f224(a898),x82974),x82973))+P107(f316(f316(f224(x82971),f316(f316(f154(x82971),x82972),x82973)),f316(f316(f154(x82971),x82972),x82974)))+~P107(f316(f316(f225(a898),x82973),f316(f179(f899(x82971)),x82972)))
% 163.96/163.66 [8527]~P62(x85271)+P107(f316(f316(f276(x85271),x85272),x85273))+~P107(f316(f316(f276(x85271),x85274),x85273))+~P107(f316(f316(f276(x85271),x85274),x85272))+~P107(f316(f316(f276(x85271),f316(f316(f29(x85271),x85272),x85274)),f316(f316(f29(x85271),x85273),x85274)))
% 163.96/163.66 [8542]~P67(x85421)+~P107(f316(f316(f224(x85421),x85422),f2(x85421)))+~P107(f316(f316(f224(x85421),x85423),x85424))+~P107(f316(f316(f225(x85421),f2(x85421)),f316(f316(f75(x85421),x85423),x85424)))+P107(f316(f316(f224(x85421),f316(f316(f280(x85421),x85422),x85423)),f316(f316(f280(x85421),x85422),x85424)))
% 163.96/163.66 [8543]~P68(x85431)+~P107(f316(f316(f225(x85431),x85432),f2(x85431)))+~P107(f316(f316(f225(x85431),x85433),x85434))+~P107(f316(f316(f225(x85431),f2(x85431)),f316(f316(f75(x85431),x85433),x85434)))+P107(f316(f316(f225(x85431),f316(f316(f280(x85431),x85432),x85433)),f316(f316(f280(x85431),x85432),x85434)))
% 163.96/163.66 [8552]~P68(x85521)+~P107(f316(f316(f224(x85521),x85524),x85523))+~P107(f316(f316(f224(x85521),f2(x85521)),x85522))+~P107(f316(f316(f225(x85521),f2(x85521)),f316(f316(f75(x85521),x85523),x85524)))+P107(f316(f316(f224(x85521),f316(f316(f280(x85521),x85522),x85523)),f316(f316(f280(x85521),x85522),x85524)))
% 163.96/163.66 [8553]~P68(x85531)+~P107(f316(f316(f225(x85531),x85534),x85533))+~P107(f316(f316(f225(x85531),f2(x85531)),x85532))+~P107(f316(f316(f225(x85531),f2(x85531)),f316(f316(f75(x85531),x85533),x85534)))+P107(f316(f316(f225(x85531),f316(f316(f280(x85531),x85532),x85533)),f316(f316(f280(x85531),x85532),x85534)))
% 163.96/163.66 [8652]P107(f316(x86521,x86522))+~P107(f316(f54(x86524),x86522))+P107(f316(x86521,f352(x86521,x86523,x86522,x86524)))+~P107(f316(x86521,f178(f905(x86524,a895))))+~P107(f316(f316(f224(f905(x86524,a895)),x86522),x86523))
% 163.96/163.66 [8661]P107(f316(x86611,x86612))+P107(f316(f54(x86613),f352(x86611,x86614,x86612,x86613)))+~P107(f316(f54(x86613),x86612))+~P107(f316(x86611,f178(f905(x86613,a895))))+~P107(f316(f316(f224(f905(x86613,a895)),x86612),x86614))
% 163.96/163.66 [8934]E(f316(f316(f74(a1),f500(x89341,x89342,x89343,x89344)),f501(x89341,x89342,x89343,x89344)),x89344)+~P107(f316(f316(f225(a1),f2(a1)),x89343))+~P107(f316(f316(f225(a1),x89342),x89344))+~P107(f316(f316(f318(a1),x89342),x89341))+P107(f316(f316(f225(a1),x89342),f316(f316(f23(a1),x89344),x89343)))
% 163.96/163.66 [9151]~P107(f316(f316(f225(a1),f2(a1)),x91513))+~P107(f316(f316(f225(a1),x91512),x91514))+~P107(f316(f316(f318(a1),x91512),x91511))+P107(f316(f316(f318(a1),f500(x91511,x91512,x91513,x91514)),x91511))+P107(f316(f316(f225(a1),x91512),f316(f316(f23(a1),x91514),x91513)))
% 163.96/163.66 [9162]P107(f316(x91621,x91622))+~P107(f316(f54(x91623),x91622))+P107(f316(f316(f318(x91623),f353(x91621,x91624,x91622,x91623)),x91624))+~P107(f316(x91621,f178(f905(x91623,a895))))+~P107(f316(f316(f224(f905(x91623,a895)),x91622),x91624))
% 163.96/163.66 [9179]E(f316(f316(f74(a1),f483(x91791,x91792,x91793,x91794)),f484(x91791,x91792,x91793,x91794)),x91794)+~P107(f316(f316(f225(a1),f2(a1)),x91793))+~P107(f316(f316(f224(a1),x91792),x91794))+P107(f316(f316(f224(a1),x91792),f316(f316(f23(a1),x91794),x91793)))+~P107(f316(f316(f318(a1),f316(f316(f23(a1),x91792),f72(a1))),x91791))
% 163.96/163.66 [9233]~P107(f316(f316(f225(a1),f2(a1)),x92333))+~P107(f316(f316(f225(a1),x92331),x92332))+~P107(f316(f316(f318(a1),x92331),x92334))+P107(f316(f316(f318(a1),f501(x92334,x92331,x92333,x92332)),f292(a1,f72(a1),x92333)))+P107(f316(f316(f225(a1),x92331),f316(f316(f23(a1),x92332),x92333)))
% 163.96/163.66 [9259]~P76(x92592)+~E(f777(x92593,x92594,x92591,x92592),f778(x92593,x92594,x92591,x92592))+~P107(f316(f54(x92591),f779(x92593,x92594,x92591,x92592)))+E(f316(f316(f6(f905(x92591,a895),x92592),f316(f6(x92591,x92592),x92593)),x92594),f316(f316(f6(x92591,x92592),x92593),f30(f905(x92591,a895),x92594)))+~P107(f316(f54(f905(x92591,a895)),x92594))
% 163.96/163.66 [9263]~P76(x92632)+~E(f316(x92633,f780(x92633,x92634,x92631,x92632)),f2(x92632))+~P107(f316(f54(x92631),f779(x92633,x92634,x92631,x92632)))+E(f316(f316(f6(f905(x92631,a895),x92632),f316(f6(x92631,x92632),x92633)),x92634),f316(f316(f6(x92631,x92632),x92633),f30(f905(x92631,a895),x92634)))+~P107(f316(f54(f905(x92631,a895)),x92634))
% 163.96/163.66 [9327]~P107(f316(f316(f225(a1),f2(a1)),x93273))+~P107(f316(f316(f224(a1),x93272),x93274))+P107(f316(f316(f318(a1),f483(x93271,x93272,x93273,x93274)),x93271))+P107(f316(f316(f224(a1),x93272),f316(f316(f23(a1),x93274),x93273)))+~P107(f316(f316(f318(a1),f316(f316(f23(a1),x93272),f72(a1))),x93271))
% 163.96/163.66 [9371]~P107(f316(f316(f225(a1),f2(a1)),x93713))+~P107(f316(f316(f224(a1),x93711),x93712))+P107(f316(f316(f318(a1),f484(x93714,x93711,x93713,x93712)),f292(a1,f72(a1),x93713)))+P107(f316(f316(f224(a1),x93711),f316(f316(f23(a1),x93712),x93713)))+~P107(f316(f316(f318(a1),f316(f316(f23(a1),x93711),f72(a1))),x93714))
% 163.96/163.66 [9392]~P76(x93922)+~E(f777(x93923,x93924,x93921,x93922),f778(x93923,x93924,x93921,x93922))+E(f316(f316(f6(f905(x93921,a895),x93922),f316(f6(x93921,x93922),x93923)),x93924),f316(f316(f6(x93921,x93922),x93923),f30(f905(x93921,a895),x93924)))+P107(f316(f316(f318(f905(x93921,a895)),f779(x93923,x93924,x93921,x93922)),x93924))+~P107(f316(f54(f905(x93921,a895)),x93924))
% 163.96/163.66 [9399]~P76(x93992)+~E(f316(x93993,f780(x93993,x93994,x93991,x93992)),f2(x93992))+E(f316(f316(f6(f905(x93991,a895),x93992),f316(f6(x93991,x93992),x93993)),x93994),f316(f316(f6(x93991,x93992),x93993),f30(f905(x93991,a895),x93994)))+P107(f316(f316(f318(f905(x93991,a895)),f779(x93993,x93994,x93991,x93992)),x93994))+~P107(f316(f54(f905(x93991,a895)),x93994))
% 163.96/163.66 [9500]~P76(x95002)+~P107(f316(f54(x95001),f779(x95003,x95004,x95001,x95002)))+E(f316(f316(f6(f905(x95001,a895),x95002),f316(f6(x95001,x95002),x95003)),x95004),f316(f316(f6(x95001,x95002),x95003),f30(f905(x95001,a895),x95004)))+P107(f316(f316(f318(f905(x95001,a895)),f778(x95003,x95004,x95001,x95002)),x95004))+~P107(f316(f54(f905(x95001,a895)),x95004))
% 163.96/163.66 [9501]~P76(x95012)+~P107(f316(f54(x95011),f779(x95013,x95014,x95011,x95012)))+E(f316(f316(f6(f905(x95011,a895),x95012),f316(f6(x95011,x95012),x95013)),x95014),f316(f316(f6(x95011,x95012),x95013),f30(f905(x95011,a895),x95014)))+P107(f316(f316(f318(f905(x95011,a895)),f777(x95013,x95014,x95011,x95012)),x95014))+~P107(f316(f54(f905(x95011,a895)),x95014))
% 163.96/163.66 [9579]~P76(x95792)+E(f316(f316(f6(f905(x95791,a895),x95792),f316(f6(x95791,x95792),x95793)),x95794),f316(f316(f6(x95791,x95792),x95793),f30(f905(x95791,a895),x95794)))+P107(f316(f316(f318(f905(x95791,a895)),f779(x95793,x95794,x95791,x95792)),x95794))+P107(f316(f316(f318(f905(x95791,a895)),f778(x95793,x95794,x95791,x95792)),x95794))+~P107(f316(f54(f905(x95791,a895)),x95794))
% 163.96/163.66 [9580]~P76(x95802)+E(f316(f316(f6(f905(x95801,a895),x95802),f316(f6(x95801,x95802),x95803)),x95804),f316(f316(f6(x95801,x95802),x95803),f30(f905(x95801,a895),x95804)))+P107(f316(f316(f318(f905(x95801,a895)),f779(x95803,x95804,x95801,x95802)),x95804))+P107(f316(f316(f318(f905(x95801,a895)),f777(x95803,x95804,x95801,x95802)),x95804))+~P107(f316(f54(f905(x95801,a895)),x95804))
% 163.96/163.66 [9601]~P76(x96012)+P107(f316(f316(f318(x96011),f780(x96013,x96014,x96011,x96012)),f778(x96013,x96014,x96011,x96012)))+~P107(f316(f54(x96011),f779(x96013,x96014,x96011,x96012)))+E(f316(f316(f6(f905(x96011,a895),x96012),f316(f6(x96011,x96012),x96013)),x96014),f316(f316(f6(x96011,x96012),x96013),f30(f905(x96011,a895),x96014)))+~P107(f316(f54(f905(x96011,a895)),x96014))
% 163.96/163.66 [9602]~P76(x96022)+P107(f316(f316(f318(x96021),f780(x96023,x96024,x96021,x96022)),f777(x96023,x96024,x96021,x96022)))+~P107(f316(f54(x96021),f779(x96023,x96024,x96021,x96022)))+E(f316(f316(f6(f905(x96021,a895),x96022),f316(f6(x96021,x96022),x96023)),x96024),f316(f316(f6(x96021,x96022),x96023),f30(f905(x96021,a895),x96024)))+~P107(f316(f54(f905(x96021,a895)),x96024))
% 163.96/163.66 [9619]P107(f316(x96191,x96192))+~P107(f316(f316(f318(x96193),f353(x96191,x96194,x96192,x96193)),f352(x96191,x96194,x96192,x96193)))+~P107(f316(f54(x96193),x96192))+~P107(f316(x96191,f178(f905(x96193,a895))))+~P107(f316(f316(f224(f905(x96193,a895)),x96192),x96194))
% 163.96/163.66 [9656]~P76(x96562)+P107(f316(f316(f318(x96561),f780(x96563,x96564,x96561,x96562)),f778(x96563,x96564,x96561,x96562)))+E(f316(f316(f6(f905(x96561,a895),x96562),f316(f6(x96561,x96562),x96563)),x96564),f316(f316(f6(x96561,x96562),x96563),f30(f905(x96561,a895),x96564)))+P107(f316(f316(f318(f905(x96561,a895)),f779(x96563,x96564,x96561,x96562)),x96564))+~P107(f316(f54(f905(x96561,a895)),x96564))
% 163.96/163.66 [9657]~P76(x96572)+P107(f316(f316(f318(x96571),f780(x96573,x96574,x96571,x96572)),f777(x96573,x96574,x96571,x96572)))+E(f316(f316(f6(f905(x96571,a895),x96572),f316(f6(x96571,x96572),x96573)),x96574),f316(f316(f6(x96571,x96572),x96573),f30(f905(x96571,a895),x96574)))+P107(f316(f316(f318(f905(x96571,a895)),f779(x96573,x96574,x96571,x96572)),x96574))+~P107(f316(f54(f905(x96571,a895)),x96574))
% 163.96/163.66 [9833]P107(f316(x98331,x98332))+~P107(f316(f54(x98333),x98332))+~P107(f316(x98331,f316(f316(f298(x98333),f353(x98331,x98334,x98332,x98333)),f352(x98331,x98334,x98332,x98333))))+~P107(f316(x98331,f178(f905(x98333,a895))))+~P107(f316(f316(f224(f905(x98333,a895)),x98332),x98334))
% 163.96/163.66 [7848]~P67(x78481)+P107(f316(f316(f225(x78481),x78482),f2(x78481)))+~P107(f316(f316(f224(x78481),f2(x78481)),x78484))+P107(f316(f316(f225(x78481),f2(x78481)),x78482))+P107(f316(f316(f224(x78481),f316(f316(f280(x78481),x78483),x78482)),x78484))
% 163.96/163.66 [7849]~P67(x78491)+P107(f316(f316(f225(x78491),x78492),f2(x78491)))+P107(f316(f316(f225(x78491),f2(x78491)),x78492))+~P107(f316(f316(f225(x78491),f2(x78491)),x78494))+P107(f316(f316(f225(x78491),f316(f316(f280(x78491),x78493),x78492)),x78494))
% 163.96/163.66 [8131]~P107(f316(f316(f224(a1),x81314),f2(a1)))+~E(x81312,f316(f316(f74(a1),f316(f316(f75(a1),x81311),x81313)),x81314))+P107(f316(f316(f225(a1),f2(a1)),x81311))+~P107(f316(f316(f225(a1),x81311),x81314))+P107(f316(f42(x81312,x81311),f316(f316(f241(a1,a1),x81313),x81314)))
% 163.96/163.66 [8165]~P107(f316(x81651,x81654))+P107(f316(x81651,f467(x81652,x81651,x81653)))+~P107(f316(f316(f224(a1),f2(a1)),x81652))+~P107(f316(f316(f225(a1),f2(a1)),x81653))+P107(f316(x81651,f316(f316(f23(a1),x81654),f316(f316(f75(a1),x81652),x81653))))
% 163.96/163.66 [8166]~P107(f316(x81661,x81664))+P107(f316(x81661,f473(x81662,x81661,x81663)))+~P107(f316(f316(f224(a1),f2(a1)),x81662))+~P107(f316(f316(f225(a1),f2(a1)),x81663))+P107(f316(x81661,f316(f316(f74(a1),x81664),f316(f316(f75(a1),x81662),x81663))))
% 163.96/163.66 [8167]~P67(x81671)+P107(f316(f316(f225(x81671),x81672),f2(x81671)))+P107(f316(f316(f225(x81671),f2(x81671)),x81672))+P107(f316(f316(f224(x81671),f2(x81671)),x81673))+~P107(f316(f316(f224(x81671),f316(f316(f280(x81671),x81674),x81672)),x81673))
% 163.96/163.66 [8168]~P67(x81681)+P107(f316(f316(f225(x81681),x81682),f2(x81681)))+P107(f316(f316(f225(x81681),f2(x81681)),x81682))+P107(f316(f316(f225(x81681),f2(x81681)),x81683))+~P107(f316(f316(f225(x81681),f316(f316(f280(x81681),x81684),x81682)),x81683))
% 163.96/163.66 [8220]~E(x82201,f316(f316(f74(a1),f316(f316(f75(a1),x82202),x82203)),x82204))+~P107(f316(f316(f224(a1),f2(a1)),x82204))+~P107(f316(f316(f225(a1),f2(a1)),x82202))+~P107(f316(f316(f225(a1),x82204),x82202))+P107(f316(f42(x82201,x82202),f316(f316(f241(a1,a1),x82203),x82204)))
% 163.96/163.66 [8336]~P67(x83361)+P107(f316(f316(f225(x83361),x83362),f2(x83361)))+~P107(f316(f316(f224(x83361),f2(x83361)),x83364))+~P107(f316(f316(f224(x83361),x83363),f316(f316(f75(x83361),x83364),x83362)))+P107(f316(f316(f224(x83361),f316(f316(f280(x83361),x83363),x83362)),x83364))
% 163.96/163.66 [8337]~P67(x83371)+P107(f316(f316(f225(x83371),x83372),f2(x83371)))+~P107(f316(f316(f225(x83371),f2(x83371)),x83374))+~P107(f316(f316(f225(x83371),x83373),f316(f316(f75(x83371),x83374),x83372)))+P107(f316(f316(f225(x83371),f316(f316(f280(x83371),x83373),x83372)),x83374))
% 163.96/163.66 [8422]~P67(x84221)+P107(f316(f316(f225(x84221),x84222),f2(x84221)))+~P107(f316(f316(f224(x84221),x84223),f2(x84221)))+P107(f316(f316(f224(x84221),x84223),f316(f316(f280(x84221),x84224),x84222)))+~P107(f316(f316(f224(x84221),f316(f316(f75(x84221),x84223),x84222)),x84224))
% 163.96/163.66 [8423]~P67(x84231)+P107(f316(f316(f225(x84231),x84232),f2(x84231)))+~P107(f316(f316(f225(x84231),x84233),f2(x84231)))+P107(f316(f316(f225(x84231),x84233),f316(f316(f280(x84231),x84234),x84232)))+~P107(f316(f316(f225(x84231),f316(f316(f75(x84231),x84233),x84232)),x84234))
% 163.96/163.66 [8574]~P67(x85741)+~P107(f316(f316(f225(x85741),x85742),f2(x85741)))+P107(f316(f316(f225(x85741),f2(x85741)),x85742))+~P107(f316(f316(f224(x85741),f316(f316(f280(x85741),x85744),x85742)),x85743))+P107(f316(f316(f224(x85741),f316(f316(f75(x85741),x85743),x85742)),x85744))
% 163.96/163.66 [8575]~P67(x85751)+~P107(f316(f316(f225(x85751),x85752),f2(x85751)))+P107(f316(f316(f225(x85751),f2(x85751)),x85752))+~P107(f316(f316(f224(x85751),f316(f316(f75(x85751),x85754),x85752)),x85753))+P107(f316(f316(f224(x85751),f316(f316(f280(x85751),x85753),x85752)),x85754))
% 163.96/163.66 [8576]~P67(x85761)+~P107(f316(f316(f225(x85761),x85762),f2(x85761)))+P107(f316(f316(f225(x85761),f2(x85761)),x85762))+~P107(f316(f316(f225(x85761),f316(f316(f280(x85761),x85764),x85762)),x85763))+P107(f316(f316(f225(x85761),f316(f316(f75(x85761),x85763),x85762)),x85764))
% 163.96/163.66 [8577]~P67(x85771)+~P107(f316(f316(f225(x85771),x85772),f2(x85771)))+P107(f316(f316(f225(x85771),f2(x85771)),x85772))+~P107(f316(f316(f225(x85771),f316(f316(f75(x85771),x85774),x85772)),x85773))+P107(f316(f316(f225(x85771),f316(f316(f280(x85771),x85773),x85772)),x85774))
% 163.96/163.66 [8593]~P67(x85931)+~P107(f316(f316(f224(x85931),f2(x85931)),x85934))+P107(f316(f316(f225(x85931),f2(x85931)),x85932))+~P107(f316(f316(f224(x85931),f316(f316(f75(x85931),x85934),x85932)),x85933))+P107(f316(f316(f224(x85931),f316(f316(f280(x85931),x85933),x85932)),x85934))
% 163.96/163.66 [8594]~P67(x85941)+~P107(f316(f316(f225(x85941),f2(x85941)),x85944))+P107(f316(f316(f225(x85941),f2(x85941)),x85942))+~P107(f316(f316(f225(x85941),f316(f316(f75(x85941),x85944),x85942)),x85943))+P107(f316(f316(f225(x85941),f316(f316(f280(x85941),x85943),x85942)),x85944))
% 163.96/163.66 [8669]~P67(x86691)+~P107(f316(f316(f225(x86691),x86694),f2(x86691)))+~P107(f316(f316(f224(x86691),x86693),f316(f316(f75(x86691),x86692),x86694)))+P107(f316(f316(f224(x86691),x86692),f316(f316(f280(x86691),x86693),x86694)))+~P107(f316(f316(f224(x86691),f316(f316(f75(x86691),x86692),x86694)),x86693))
% 163.96/163.66 [8670]~P67(x86701)+~P107(f316(f316(f224(x86701),x86702),f2(x86701)))+~P107(f316(f316(f224(x86701),x86703),f316(f316(f75(x86701),x86702),x86704)))+P107(f316(f316(f224(x86701),x86702),f316(f316(f280(x86701),x86703),x86704)))+~P107(f316(f316(f224(x86701),f316(f316(f75(x86701),x86702),x86704)),x86703))
% 163.96/163.66 [8671]~P67(x86711)+~P107(f316(f316(f225(x86711),x86714),f2(x86711)))+~P107(f316(f316(f225(x86711),x86713),f316(f316(f75(x86711),x86712),x86714)))+P107(f316(f316(f225(x86711),x86712),f316(f316(f280(x86711),x86713),x86714)))+~P107(f316(f316(f225(x86711),f316(f316(f75(x86711),x86712),x86714)),x86713))
% 163.96/163.66 [8672]~P67(x86721)+~P107(f316(f316(f225(x86721),x86722),f2(x86721)))+~P107(f316(f316(f225(x86721),x86723),f316(f316(f75(x86721),x86722),x86724)))+P107(f316(f316(f225(x86721),x86722),f316(f316(f280(x86721),x86723),x86724)))+~P107(f316(f316(f225(x86721),f316(f316(f75(x86721),x86722),x86724)),x86723))
% 163.96/163.66 [8799]~P67(x87991)+~P107(f316(f316(f225(x87991),x87993),f2(x87991)))+~P107(f316(f316(f224(x87991),x87992),f316(f316(f75(x87991),x87994),x87993)))+~P107(f316(f316(f224(x87991),f316(f316(f75(x87991),x87994),x87993)),x87992))+P107(f316(f316(f224(x87991),f316(f316(f280(x87991),x87992),x87993)),x87994))
% 163.96/163.66 [8800]~P67(x88001)+~P107(f316(f316(f225(x88001),x88003),f2(x88001)))+~P107(f316(f316(f225(x88001),x88002),f316(f316(f75(x88001),x88004),x88003)))+~P107(f316(f316(f225(x88001),f316(f316(f75(x88001),x88004),x88003)),x88002))+P107(f316(f316(f225(x88001),f316(f316(f280(x88001),x88002),x88003)),x88004))
% 163.96/163.66 [8817]~P67(x88171)+~P107(f316(f316(f224(x88171),f2(x88171)),x88174))+~P107(f316(f316(f224(x88171),x88172),f316(f316(f75(x88171),x88174),x88173)))+~P107(f316(f316(f224(x88171),f316(f316(f75(x88171),x88174),x88173)),x88172))+P107(f316(f316(f224(x88171),f316(f316(f280(x88171),x88172),x88173)),x88174))
% 163.96/163.66 [8818]~P67(x88181)+~P107(f316(f316(f225(x88181),f2(x88181)),x88184))+~P107(f316(f316(f225(x88181),x88182),f316(f316(f75(x88181),x88184),x88183)))+~P107(f316(f316(f225(x88181),f316(f316(f75(x88181),x88184),x88183)),x88182))+P107(f316(f316(f225(x88181),f316(f316(f280(x88181),x88182),x88183)),x88184))
% 163.96/163.66 [9001]E(f316(f316(f23(a1),f502(x90011,x90012,x90013,x90014)),f503(x90011,x90012,x90013,x90014)),x90014)+~P107(f316(f316(f225(a1),f2(a1)),x90013))+~P107(f316(f316(f318(a1),x90012),x90011))+~P107(f316(f316(f225(a1),x90014),x90012))+P107(f316(f316(f225(a1),f316(f316(f74(a1),x90014),x90013)),x90012))
% 163.96/163.66 [9076]~P107(f316(x90761,x90762))+~P107(f316(f316(f224(a1),f2(a1)),x90763))+~P107(f316(f316(f225(a1),f2(a1)),x90764))+~P107(f316(x90761,f316(f316(f23(a1),f467(x90763,x90761,x90764)),x90764)))+P107(f316(x90761,f316(f316(f23(a1),x90762),f316(f316(f75(a1),x90763),x90764))))
% 163.96/163.66 [9077]~P107(f316(x90771,x90772))+~P107(f316(f316(f224(a1),f2(a1)),x90773))+~P107(f316(f316(f225(a1),f2(a1)),x90774))+~P107(f316(x90771,f316(f316(f74(a1),f473(x90773,x90771,x90774)),x90774)))+P107(f316(x90771,f316(f316(f74(a1),x90772),f316(f316(f75(a1),x90773),x90774))))
% 163.96/163.66 [9227]~P107(f316(f316(f225(a1),f2(a1)),x92273))+~P107(f316(f316(f318(a1),x92272),x92271))+~P107(f316(f316(f225(a1),x92274),x92272))+P107(f316(f316(f318(a1),f502(x92271,x92272,x92273,x92274)),x92271))+P107(f316(f316(f225(a1),f316(f316(f74(a1),x92274),x92273)),x92272))
% 163.96/163.66 [9246]E(f316(f316(f23(a1),f485(x92461,x92462,x92463,x92464)),f486(x92461,x92462,x92463,x92464)),x92464)+~P107(f316(f316(f225(a1),f2(a1)),x92463))+~P107(f316(f316(f224(a1),x92464),x92462))+~P107(f316(f316(f318(a1),f316(f316(f74(a1),x92462),f72(a1))),x92461))+P107(f316(f316(f224(a1),f316(f316(f74(a1),x92464),x92463)),x92462))
% 163.96/163.66 [9274]~P107(f316(f316(f225(a1),f2(a1)),x92742))+~P107(f316(f316(f318(a1),x92743),x92744))+~P107(f316(f316(f225(a1),x92741),x92743))+P107(f316(f316(f318(a1),f503(x92744,x92743,x92742,x92741)),f292(a1,f72(a1),x92742)))+P107(f316(f316(f225(a1),f316(f316(f74(a1),x92741),x92742)),x92743))
% 163.96/163.66 [9363]~P107(f316(f316(f225(a1),f2(a1)),x93633))+~P107(f316(f316(f224(a1),x93634),x93632))+P107(f316(f316(f318(a1),f485(x93631,x93632,x93633,x93634)),x93631))+~P107(f316(f316(f318(a1),f316(f316(f74(a1),x93632),f72(a1))),x93631))+P107(f316(f316(f224(a1),f316(f316(f74(a1),x93634),x93633)),x93632))
% 163.96/163.66 [9410]~P107(f316(f316(f225(a1),f2(a1)),x94102))+~P107(f316(f316(f224(a1),x94101),x94103))+P107(f316(f316(f318(a1),f486(x94104,x94103,x94102,x94101)),f292(a1,f72(a1),x94102)))+~P107(f316(f316(f318(a1),f316(f316(f74(a1),x94103),f72(a1))),x94104))+P107(f316(f316(f224(a1),f316(f316(f74(a1),x94101),x94102)),x94103))
% 163.96/163.66 [9710]~P36(x97101,x97103)+~P24(x97101,x97104)+P36(x97101,f316(f316(f100(f905(f904(x97101,x97101),a895)),x97102),x97103))+~P107(f316(f316(f224(f905(f904(x97101,x97101),a895)),x97102),f316(f240(f905(f904(x97101,x97101),a895),f905(f904(x97101,x97101),a895)),x97104)))+~P107(f316(f316(f224(f905(f904(x97101,x97101),a895)),x97103),f316(f245(f905(f904(x97101,x97101),a895),f905(f904(x97101,x97101),a895)),x97104)))
% 163.96/163.66 [10103]~P15(x101032,x101034,x101033)+E(x101031,f178(f905(x101032,a895)))+~P107(f316(f54(x101032),x101031))+P107(f316(f316(f318(x101032),f316(x101033,x101031)),x101031))+~P107(f316(f316(f318(x101032),f316(f316(x101034,f344(x101031,x101033,x101034,x101032)),f345(x101031,x101033,x101034,x101032))),f316(f316(f298(x101032),f344(x101031,x101033,x101034,x101032)),f316(f316(f298(x101032),f345(x101031,x101033,x101034,x101032)),f178(f905(x101032,a895))))))
% 163.96/163.66 [10026]~P111(x100262)+~P64(x100261)+~P107(f316(f316(f224(f905(x100261,x100262)),x100263),x100264))+P107(f316(f316(f225(f905(x100261,x100262)),x100263),x100264))+~P107(f316(f49(x100261),f316(f316(f8(a895,a895,x100261),a311),f316(f316(f18(x100261,x100262,a895),f316(f316(f8(x100262,f905(x100262,a895),x100261),a313),x100263)),x100264))))
% 163.96/163.66 [9625]~P51(x96251,x96251,x96254)+P107(f316(f316(f318(f904(x96251,x96251)),f316(f316(f241(x96251,x96251),x96252),x96253)),f296(x96251,x96254)))+P107(f316(f316(f318(f904(x96251,x96251)),f316(f316(f241(x96251,x96251),x96253),x96252)),f296(x96251,x96254)))+~P107(f316(f316(f318(f904(x96251,x96251)),f316(f316(f241(x96251,x96251),x96255),x96252)),f296(x96251,x96254)))+~P107(f316(f316(f318(f904(x96251,x96251)),f316(f316(f241(x96251,x96251),x96255),x96253)),f296(x96251,x96254)))
% 163.96/163.66 [5709]E(x57091,f2(a898))+~E(f316(f28(x57092),x57095),x57091)+E(f316(f28(x57092),x57093),f316(a102,x57091))+~E(x57093,f316(f316(f298(x57092),x57094),x57095))+P107(f316(f316(f318(x57092),x57094),x57095))
% 163.96/163.66 [5831]~P66(x58312)+E(x58311,f2(x58312))+E(x58313,f2(x58312))+~E(f316(f316(f280(x58312),x58314),x58313),f316(f316(f280(x58312),x58315),x58311))+E(f316(f316(f75(x58312),x58314),x58311),f316(f316(f75(x58312),x58315),x58313))
% 163.96/163.66 [5832]~P66(x58322)+E(x58321,f2(x58322))+E(x58323,f2(x58322))+~E(f316(f316(f75(x58322),x58324),x58323),f316(f316(f75(x58322),x58325),x58321))+E(f316(f316(f280(x58322),x58324),x58321),f316(f316(f280(x58322),x58325),x58323))
% 163.96/163.66 [5911]~E(f316(f28(x59111),x59115),x59113)+~E(x59115,f178(f905(x59111,a895)))+E(f316(f28(x59111),x59112),f316(a102,x59113))+~E(x59112,f316(f316(f298(x59111),x59114),x59115))+P107(f316(f316(f318(x59111),x59114),x59115))
% 163.96/163.66 [6150]~P117(x61502)+~E(f316(x61503,x61505),f2(x61502))+E(f316(f316(f9(x61501,x61502),x61503),x61504),f2(x61502))+~P107(f316(f54(x61501),x61504))+~P107(f316(f316(f318(x61501),x61505),x61504))
% 163.96/163.66 [6531]~P108(x65313)+E(x65311,x65312)+~E(f316(f291(x65313,x65314),x65311),f316(f291(x65313,x65315),x65312))+~P107(f316(f316(f225(x65313),x65315),x65312))+~P107(f316(f316(f225(x65313),x65314),x65311))
% 163.96/163.66 [6532]~P108(x65323)+E(x65321,x65322)+~E(f316(f291(x65323,x65321),x65324),f316(f291(x65323,x65322),x65325))+~P107(f316(f316(f225(x65323),x65322),x65325))+~P107(f316(f316(f225(x65323),x65321),x65324))
% 163.96/163.66 [7611]~P108(x76111)+~P10(x76111,f316(f316(f124(x76111),x76114),x76115))+~P107(f316(f316(f318(x76111),x76113),f316(f162(x76111),x76115)))+~P107(f316(f316(f318(x76111),x76112),f316(f162(x76111),x76114)))+P107(f316(f316(f224(x76111),x76112),x76113))
% 163.96/163.66 [8708]~P111(x87081)+~P107(f316(f316(f225(f905(x87081,a895)),f292(x87081,x87085,x87082)),f292(x87081,x87084,x87083)))+~P107(f316(f316(f224(x87081),x87085),x87082))+P107(f316(f316(f225(x87081),x87082),x87083))+P107(f316(f316(f225(x87081),x87084),x87085))
% 163.96/163.66 [10146]~P14(x101462,x101465,x101463)+E(x101461,f178(f905(x101462,a895)))+~E(f316(f316(x101465,f316(x101464,f389(x101461,x101464,x101463,x101465,x101462))),f316(x101464,f390(x101461,x101464,x101463,x101465,x101462))),f316(x101464,f316(f316(x101465,f389(x101461,x101464,x101463,x101465,x101462)),f390(x101461,x101464,x101463,x101465,x101462))))+E(f316(x101463,f316(f299(x101462,x101462,x101464),x101461)),f316(x101464,f316(x101463,x101461)))+~P107(f316(f54(x101462),x101461))
% 163.96/163.66 [6528]~P15(x65282,x65285,x65283)+E(x65281,f178(f905(x65282,a895)))+~P107(f316(f54(x65282),x65281))+E(f316(x65283,f316(f316(f298(x65282),x65284),x65281)),f316(f316(x65285,x65284),f316(x65283,x65281)))+P107(f316(f316(f318(x65282),x65284),x65281))
% 163.96/163.66 [7372]~P14(x73722,x73723,x73724)+E(f316(f316(x73723,f316(x73724,x73721)),f316(x73724,x73725)),f316(x73724,x73725))+E(x73721,f178(f905(x73722,a895)))+~P107(f316(f54(x73722),x73725))+~P107(f316(f316(f224(f905(x73722,a895)),x73721),x73725))
% 163.96/163.66 [7747]~P15(x77474,x77475,x77471)+E(f316(x77471,x77472),x77473)+~P107(f316(f54(x77474),x77472))+~E(f316(f316(f23(f905(x77474,a895)),x77472),f316(f316(f298(x77474),x77473),f178(f905(x77474,a895)))),f178(f905(x77474,a895)))+~P107(f316(f316(f318(x77474),x77473),x77472))
% 163.96/163.66 [8678]E(x86781,x86782)+~P5(x86783,x86784,x86785)+E(f316(f316(f91(f905(x86783,a895)),x86781),x86782),f178(f905(x86783,a895)))+~P107(f316(f316(f318(f905(x86783,a895)),x86782),f316(f316(f53(x86783),x86784),x86785)))+~P107(f316(f316(f318(f905(x86783,a895)),x86781),f316(f316(f53(x86783),x86784),x86785)))
% 163.96/163.66 [9493]~P72(x94932)+~E(f316(x94933,f474(x94933,x94934,x94935,x94931,x94932)),f72(x94932))+E(f316(f316(f9(x94931,x94932),x94933),x94934),f316(f316(f9(x94931,x94932),x94933),x94935))+~P107(f316(f54(x94931),x94935))+~P107(f316(f316(f224(f905(x94931,a895)),x94934),x94935))
% 163.96/163.66 [9494]~P72(x94942)+~E(f316(x94943,f475(x94943,x94944,x94945,x94941,x94942)),f72(x94942))+E(f316(f316(f9(x94941,x94942),x94943),x94944),f316(f316(f9(x94941,x94942),x94943),x94945))+~P107(f316(f54(x94941),x94945))+~P107(f316(f316(f224(f905(x94941,a895)),x94944),x94945))
% 163.96/163.66 [9495]~P76(x94952)+~E(f316(x94953,f544(x94953,x94954,x94955,x94951,x94952)),f2(x94952))+E(f316(f316(f6(x94951,x94952),x94953),x94954),f316(f316(f6(x94951,x94952),x94953),x94955))+~P107(f316(f54(x94951),x94955))+~P107(f316(f316(f224(f905(x94951,a895)),x94954),x94955))
% 163.96/163.66 [9496]~P76(x94962)+~E(f316(x94963,f547(x94963,x94964,x94965,x94961,x94962)),f2(x94962))+E(f316(f316(f6(x94961,x94962),x94963),x94964),f316(f316(f6(x94961,x94962),x94963),x94965))+~P107(f316(f54(x94961),x94965))+~P107(f316(f316(f224(f905(x94961,a895)),x94964),x94965))
% 163.96/163.66 [9979]~P91(x99791)+~P107(f316(f54(x99792),x99795))+~P107(f316(f316(f224(x99791),f2(x99791)),f316(x99793,f521(x99793,x99794,x99795,x99792,x99791))))+P107(f316(f316(f224(x99791),f316(f316(f6(x99792,x99791),x99793),x99794)),f316(f316(f6(x99792,x99791),x99793),x99795)))+~P107(f316(f316(f224(f905(x99792,a895)),x99794),x99795))
% 163.96/163.66 [7608]E(x76081,f2(a898))+P107(f316(x76082,x76083))+~E(x76084,f316(f316(f74(a898),f316(f316(f75(a898),x76081),x76083)),x76085))+~P107(f316(f316(f225(a898),x76085),x76081))+~P107(f316(x76082,f316(f316(f29(a898),x76084),x76081)))
% 163.96/163.66 [7685]E(x76851,f2(a898))+P107(f316(x76852,x76853))+~P107(f316(x76852,f38(a898,x76854,x76851)))+~E(x76854,f316(f316(f74(a898),f316(f316(f75(a898),x76851),x76855)),x76853))+~P107(f316(f316(f225(a898),x76853),x76851))
% 163.96/163.66 [7981]~P66(x79813)+E(f316(x79811,x79812),f2(x79813))+~P107(f316(f54(x79814),x79815))+E(f316(f316(f9(x79814,x79813),x79811),f316(f316(f23(f905(x79814,a895)),x79815),f316(f316(f298(x79814),x79812),f178(f905(x79814,a895))))),f316(f316(f9(x79814,x79813),x79811),x79815))+P107(f316(f316(f318(x79814),x79812),x79815))
% 163.96/163.66 [8378]~P72(x83781)+~P107(f316(f54(x83782),x83785))+~P107(f316(f54(x83782),x83784))+~E(f316(f316(f91(f905(x83782,a895)),x83784),x83785),f178(f905(x83782,a895)))+E(f316(f316(f75(x83781),f316(f316(f9(x83782,x83781),x83783),x83784)),f316(f316(f9(x83782,x83781),x83783),x83785)),f316(f316(f9(x83782,x83781),x83783),f316(f316(f100(f905(x83782,a895)),x83784),x83785)))
% 163.96/163.66 [8379]~P76(x83791)+~P107(f316(f54(x83792),x83795))+~P107(f316(f54(x83792),x83794))+~E(f316(f316(f91(f905(x83792,a895)),x83794),x83795),f178(f905(x83792,a895)))+E(f316(f316(f74(x83791),f316(f316(f6(x83792,x83791),x83793),x83794)),f316(f316(f6(x83792,x83791),x83793),x83795)),f316(f316(f6(x83792,x83791),x83793),f316(f316(f100(f905(x83792,a895)),x83794),x83795)))
% 163.96/163.66 [8478]~P66(x84783)+E(f316(x84781,x84782),f2(x84783))+~P107(f316(f54(x84784),x84785))+E(f316(f316(f9(x84784,x84783),x84781),f316(f316(f23(f905(x84784,a895)),x84785),f316(f316(f298(x84784),x84782),f178(f905(x84784,a895))))),f316(f316(f280(x84783),f316(f316(f9(x84784,x84783),x84781),x84785)),f316(x84781,x84782)))+~P107(f316(f316(f318(x84784),x84782),x84785))
% 163.96/163.66 [9204]~P5(x92041,x92045,x92044)+~E(f316(f316(f53(x92041),f316(f316(f298(x92041),x92042),f178(f905(x92041,a895)))),x92044),f316(f316(f53(x92041),f316(f316(f298(x92041),x92043),f178(f905(x92041,a895)))),x92044))+~P107(f316(f316(f318(x92041),x92043),x92045))+~P107(f316(f316(f318(x92041),x92042),x92045))+P107(f316(f316(f318(f904(x92041,x92041)),f316(f316(f241(x92041,x92041),x92042),x92043)),x92044))
% 163.96/163.66 [9226]~P5(x92261,x92265,x92263)+E(f316(f316(f53(x92261),f316(f316(f298(x92261),x92262),f178(f905(x92261,a895)))),x92263),f316(f316(f53(x92261),f316(f316(f298(x92261),x92264),f178(f905(x92261,a895)))),x92263))+~P107(f316(f316(f318(x92261),x92264),x92265))+~P107(f316(f316(f318(x92261),x92262),x92265))+~P107(f316(f316(f318(f904(x92261,x92261)),f316(f316(f241(x92261,x92261),x92262),x92264)),x92263))
% 163.96/163.66 [9522]~P72(x95221)+~P107(f316(f54(x95222),x95225))+~P107(f316(f54(x95222),x95224))+~E(f316(f316(f91(f905(x95222,a895)),x95224),x95225),f178(f905(x95222,a895)))+E(f316(f316(f75(x95221),f316(f316(f316(f58(x95221,x95222,f75(x95221)),x95223),f72(x95221)),x95224)),f316(f316(f316(f58(x95221,x95222,f75(x95221)),x95223),f72(x95221)),x95225)),f316(f316(f316(f58(x95221,x95222,f75(x95221)),x95223),f72(x95221)),f316(f316(f100(f905(x95222,a895)),x95224),x95225)))
% 163.96/163.66 [9531]~P72(x95311)+~E(f316(x95313,f458(x95313,x95315,x95314,x95312,x95311)),f72(x95311))+~P107(f316(f54(x95312),x95314))+~P107(f316(f54(x95312),x95315))+E(f316(f316(f75(x95311),f316(f316(f9(x95312,x95311),x95313),x95314)),f316(f316(f9(x95312,x95311),x95313),x95315)),f316(f316(f9(x95312,x95311),x95313),f316(f316(f100(f905(x95312,a895)),x95314),x95315)))
% 163.96/163.66 [9532]~P72(x95321)+~E(f316(x95323,f461(x95323,x95325,x95324,x95322,x95321)),f72(x95321))+~P107(f316(f54(x95322),x95324))+~P107(f316(f54(x95322),x95325))+E(f316(f316(f75(x95321),f316(f316(f9(x95322,x95321),x95323),x95324)),f316(f316(f9(x95322,x95321),x95323),x95325)),f316(f316(f9(x95322,x95321),x95323),f316(f316(f100(f905(x95322,a895)),x95324),x95325)))
% 163.96/163.66 [9533]~P76(x95331)+~E(f316(x95333,f538(x95333,x95335,x95334,x95332,x95331)),f2(x95331))+~P107(f316(f54(x95332),x95334))+~P107(f316(f54(x95332),x95335))+E(f316(f316(f74(x95331),f316(f316(f6(x95332,x95331),x95333),x95334)),f316(f316(f6(x95332,x95331),x95333),x95335)),f316(f316(f6(x95332,x95331),x95333),f316(f316(f100(f905(x95332,a895)),x95334),x95335)))
% 163.96/163.66 [9534]~P76(x95341)+~E(f316(x95343,f539(x95343,x95345,x95344,x95342,x95341)),f2(x95341))+~P107(f316(f54(x95342),x95344))+~P107(f316(f54(x95342),x95345))+E(f316(f316(f74(x95341),f316(f316(f6(x95342,x95341),x95343),x95344)),f316(f316(f6(x95342,x95341),x95343),x95345)),f316(f316(f6(x95342,x95341),x95343),f316(f316(f100(f905(x95342,a895)),x95344),x95345)))
% 163.96/163.66 [9753]~P72(x97531)+~E(f316(x97533,f384(x97533,x97535,x97534,x97532,x97531)),f72(x97531))+~P107(f316(f54(x97532),x97534))+~P107(f316(f54(x97532),x97535))+E(f316(f316(f75(x97531),f316(f316(f316(f58(x97531,x97532,f75(x97531)),x97533),f72(x97531)),x97534)),f316(f316(f316(f58(x97531,x97532,f75(x97531)),x97533),f72(x97531)),x97535)),f316(f316(f316(f58(x97531,x97532,f75(x97531)),x97533),f72(x97531)),f316(f316(f100(f905(x97532,a895)),x97534),x97535)))
% 163.96/163.66 [9865]~P72(x98652)+E(f316(f316(f9(x98651,x98652),x98653),x98654),f316(f316(f9(x98651,x98652),x98653),x98655))+~P107(f316(f54(x98651),x98655))+~P107(f316(f316(f224(f905(x98651,a895)),x98654),x98655))+P107(f316(f316(f318(x98651),f474(x98653,x98654,x98655,x98651,x98652)),f316(f316(f23(f905(x98651,a895)),x98655),x98654)))
% 163.96/163.66 [9866]~P72(x98662)+E(f316(f316(f9(x98661,x98662),x98663),x98664),f316(f316(f9(x98661,x98662),x98663),x98665))+~P107(f316(f54(x98661),x98665))+~P107(f316(f316(f224(f905(x98661,a895)),x98664),x98665))+P107(f316(f316(f318(x98661),f475(x98663,x98664,x98665,x98661,x98662)),f316(f316(f23(f905(x98661,a895)),x98665),x98664)))
% 163.96/163.66 [9867]~P76(x98672)+E(f316(f316(f6(x98671,x98672),x98673),x98674),f316(f316(f6(x98671,x98672),x98673),x98675))+~P107(f316(f54(x98671),x98675))+~P107(f316(f316(f224(f905(x98671,a895)),x98674),x98675))+P107(f316(f316(f318(x98671),f544(x98673,x98674,x98675,x98671,x98672)),f316(f316(f23(f905(x98671,a895)),x98675),x98674)))
% 163.96/163.66 [9868]~P76(x98682)+E(f316(f316(f6(x98681,x98682),x98683),x98684),f316(f316(f6(x98681,x98682),x98683),x98685))+~P107(f316(f54(x98681),x98685))+~P107(f316(f316(f224(f905(x98681,a895)),x98684),x98685))+P107(f316(f316(f318(x98681),f547(x98683,x98684,x98685,x98681,x98682)),f316(f316(f23(f905(x98681,a895)),x98685),x98684)))
% 163.96/163.66 [9886]~P72(x98861)+~P107(f316(f54(x98862),x98864))+~P107(f316(f54(x98862),x98865))+E(f316(f316(f75(x98861),f316(f316(f9(x98862,x98861),x98863),x98864)),f316(f316(f9(x98862,x98861),x98863),x98865)),f316(f316(f9(x98862,x98861),x98863),f316(f316(f100(f905(x98862,a895)),x98864),x98865)))+P107(f316(f316(f318(x98862),f458(x98863,x98865,x98864,x98862,x98861)),f316(f316(f91(f905(x98862,a895)),x98864),x98865)))
% 163.96/163.66 [9887]~P72(x98871)+~P107(f316(f54(x98872),x98874))+~P107(f316(f54(x98872),x98875))+E(f316(f316(f75(x98871),f316(f316(f9(x98872,x98871),x98873),x98874)),f316(f316(f9(x98872,x98871),x98873),x98875)),f316(f316(f9(x98872,x98871),x98873),f316(f316(f100(f905(x98872,a895)),x98874),x98875)))+P107(f316(f316(f318(x98872),f461(x98873,x98875,x98874,x98872,x98871)),f316(f316(f91(f905(x98872,a895)),x98874),x98875)))
% 163.96/163.66 [9888]~P76(x98881)+~P107(f316(f54(x98882),x98884))+~P107(f316(f54(x98882),x98885))+E(f316(f316(f74(x98881),f316(f316(f6(x98882,x98881),x98883),x98884)),f316(f316(f6(x98882,x98881),x98883),x98885)),f316(f316(f6(x98882,x98881),x98883),f316(f316(f100(f905(x98882,a895)),x98884),x98885)))+P107(f316(f316(f318(x98882),f538(x98883,x98885,x98884,x98882,x98881)),f316(f316(f91(f905(x98882,a895)),x98884),x98885)))
% 163.96/163.66 [9889]~P76(x98891)+~P107(f316(f54(x98892),x98894))+~P107(f316(f54(x98892),x98895))+E(f316(f316(f74(x98891),f316(f316(f6(x98892,x98891),x98893),x98894)),f316(f316(f6(x98892,x98891),x98893),x98895)),f316(f316(f6(x98892,x98891),x98893),f316(f316(f100(f905(x98892,a895)),x98894),x98895)))+P107(f316(f316(f318(x98892),f539(x98893,x98895,x98894,x98892,x98891)),f316(f316(f91(f905(x98892,a895)),x98894),x98895)))
% 163.96/163.66 [9896]~P91(x98965)+~P107(f316(f54(x98961),x98964))+P107(f316(f316(f224(x98965),f316(f316(f6(x98961,x98965),x98962),x98963)),f316(f316(f6(x98961,x98965),x98962),x98964)))+~P107(f316(f316(f224(f905(x98961,a895)),x98963),x98964))+P107(f316(f316(f318(x98961),f521(x98962,x98963,x98964,x98961,x98965)),f316(f316(f23(f905(x98961,a895)),x98964),x98963)))
% 163.96/163.66 [9940]~P72(x99401)+~P107(f316(f54(x99402),x99404))+~P107(f316(f54(x99402),x99405))+E(f316(f316(f75(x99401),f316(f316(f316(f58(x99401,x99402,f75(x99401)),x99403),f72(x99401)),x99404)),f316(f316(f316(f58(x99401,x99402,f75(x99401)),x99403),f72(x99401)),x99405)),f316(f316(f316(f58(x99401,x99402,f75(x99401)),x99403),f72(x99401)),f316(f316(f100(f905(x99402,a895)),x99404),x99405)))+P107(f316(f316(f318(x99402),f384(x99403,x99405,x99404,x99402,x99401)),f316(f316(f91(f905(x99402,a895)),x99404),x99405)))
% 163.96/163.66 [8890]~P15(x88901,x88904,x88905)+~P107(f316(f54(x88901),x88902))+E(f316(f316(f23(f905(x88901,a895)),x88902),f316(f316(f298(x88901),x88903),f178(f905(x88901,a895)))),f178(f905(x88901,a895)))+~P107(f316(f316(f318(x88901),x88903),x88902))+E(f316(f316(x88904,x88903),f316(x88905,f316(f316(f23(f905(x88901,a895)),x88902),f316(f316(f298(x88901),x88903),f178(f905(x88901,a895)))))),f316(x88905,x88902))
% 163.96/163.66 [8968]~P15(x89681,x89684,x89685)+~P107(f316(f54(x89681),x89683))+~P107(f316(f54(x89681),x89682))+E(f316(f316(f91(f905(x89681,a895)),x89682),x89683),f178(f905(x89681,a895)))+E(f316(f316(x89684,f316(x89685,f316(f316(f100(f905(x89681,a895)),x89682),x89683))),f316(x89685,f316(f316(f91(f905(x89681,a895)),x89682),x89683))),f316(f316(x89684,f316(x89685,x89682)),f316(x89685,x89683)))
% 163.96/163.66 [9536]~P107(f316(f316(f224(a1),x95364),f2(a1)))+~P107(f316(f316(f225(a1),x95363),x95365))+P107(f316(f316(f224(a1),x95361),x95362))+~P107(f316(f316(f225(a1),x95363),x95364))+~P107(f316(f316(f224(a1),f316(f316(f74(a1),f316(f316(f75(a1),x95363),x95362)),x95365)),f316(f316(f74(a1),f316(f316(f75(a1),x95363),x95361)),x95364)))
% 163.96/163.66 [9538]~P107(f316(f316(f224(a1),f2(a1)),x95385))+P107(f316(f316(f224(a1),x95381),x95382))+~P107(f316(f316(f225(a1),x95383),x95384))+~P107(f316(f316(f225(a1),x95385),x95384))+~P107(f316(f316(f224(a1),f316(f316(f74(a1),f316(f316(f75(a1),x95384),x95381)),x95385)),f316(f316(f74(a1),f316(f316(f75(a1),x95384),x95382)),x95383)))
% 163.96/163.66 [9662]~P66(x96625)+E(f316(x96621,f464(x96621,x96622,x96623,x96624,x96625)),f2(x96625))+~P107(f316(f54(x96624),x96623))+~P107(f316(f54(x96624),x96622))+E(f316(f316(f280(x96625),f316(f316(f75(x96625),f316(f316(f9(x96624,x96625),x96621),x96623)),f316(f316(f9(x96624,x96625),x96621),x96622))),f316(f316(f9(x96624,x96625),x96621),f316(f316(f91(f905(x96624,a895)),x96623),x96622))),f316(f316(f9(x96624,x96625),x96621),f316(f316(f100(f905(x96624,a895)),x96623),x96622)))
% 163.96/163.66 [9932]~P66(x99321)+~P107(f316(f54(x99322),x99324))+~P107(f316(f54(x99322),x99325))+E(f316(f316(f280(x99321),f316(f316(f75(x99321),f316(f316(f9(x99322,x99321),x99323),x99324)),f316(f316(f9(x99322,x99321),x99323),x99325))),f316(f316(f9(x99322,x99321),x99323),f316(f316(f91(f905(x99322,a895)),x99324),x99325))),f316(f316(f9(x99322,x99321),x99323),f316(f316(f100(f905(x99322,a895)),x99324),x99325)))+P107(f316(f316(f318(x99322),f464(x99323,x99325,x99324,x99322,x99321)),f316(f316(f91(f905(x99322,a895)),x99324),x99325)))
% 163.96/163.66 [9245]E(f316(f316(f124(x92451),x92452),x92453),f316(f316(f124(x92451),x92454),x92455))+~E(f316(f316(f165(x92451),f316(f179(f899(x92451)),x92454)),x92452),x92454)+~E(f316(f316(f165(x92451),f316(f179(f899(x92451)),x92452)),x92454),x92452)+~E(x92455,f316(f316(f124(x92451),f316(f316(f128(x92451),f316(f179(f899(x92451)),x92454)),x92452)),x92453))+~E(f316(f316(f124(x92451),f316(f316(f128(x92451),f316(f179(f899(x92451)),x92452)),x92454)),x92455),x92453)
% 163.96/163.66 [9660]~P108(x96602)+E(f316(f316(f138(x96601,x96602,x96603),x96604),f160(x96601,x96604,x96605)),x96605)+~P10(x96602,f316(f316(f144(x96601,x96602),x96603),x96605))+~P107(f316(f316(f318(x96601),x96604),f316(f162(x96601),x96605)))+~E(f316(f131(x96601),f316(f126(x96601,f316(f316(f8(x96602,a895,x96601),f316(a313,f316(x96603,x96604))),x96603)),x96605)),x96604)
% 163.96/163.66 [9997]~P69(x99971)+~P107(f316(f59(x99971,x99971,f75(x99971),x99972,x99973),x99975))+~P107(f316(f316(f318(x99971),x99974),x99973))+P107(f316(f316(f318(x99971),x99972),x99973))+P107(f316(f59(x99971,x99971,f75(x99971),x99974,f316(f316(f298(x99971),x99972),f316(f316(f23(f905(x99971,a895)),x99973),f316(f316(f298(x99971),x99974),f178(f905(x99971,a895)))))),x99975))
% 163.96/163.66 [7380]E(x73801,x73802)+~P22(x73804,x73805,x73803,x73806)+~E(f316(x73803,x73801),f316(x73803,x73802))+~P107(f316(f316(f318(x73804),x73802),x73806))+~P107(f316(f316(f318(x73804),x73801),x73806))
% 163.96/163.66 [6623]~P142(x66234)+E(x66231,x66232)+~E(x66235,x66236)+E(x66233,f2(x66234))+~E(f316(f316(f74(x66234),x66235),f316(f316(f75(x66234),x66233),x66231)),f316(f316(f74(x66234),x66236),f316(f316(f75(x66234),x66233),x66232)))
% 163.96/163.66 [7665]~P2(x76651)+~P108(x76651)+~P107(f316(f316(f225(x76651),x76652),f316(x76655,x76656)))+~P107(f316(f316(f318(x76653),x76656),x76654))+P107(f316(f316(f225(x76651),x76652),f316(f316(f33(x76653,x76651),x76654),x76655)))
% 163.96/163.66 [9993]~P22(x99932,x99931,x99933,x99934)+~P22(x99931,x99932,x99936,x99935)+P23(x99931,x99932,f821(x99933,x99934,x99935,x99936,x99932,x99931),x99935,x99934)+~P107(f316(f316(f224(f905(x99932,a895)),f316(f299(x99931,x99932,x99936),x99935)),x99934))+~P107(f316(f316(f224(f905(x99931,a895)),f316(f299(x99932,x99931,x99933),x99934)),x99935))
% 163.96/163.66 [8347]~P2(x83471)+~P108(x83471)+~P107(f316(f316(f225(x83471),f316(x83474,x83476)),x83475))+~P107(f316(f316(f318(x83472),x83476),x83473))+P107(f316(f316(f225(x83471),f316(f316(f32(x83472,x83471),x83473),x83474)),x83475))
% 163.96/163.66 [8600]~P16(x86002,x86005,x86006,x86001)+~P107(f316(f54(x86002),x86004))+~P107(f316(f54(x86002),x86003))+~E(f316(f316(f91(f905(x86002,a895)),x86003),x86004),f178(f905(x86002,a895)))+E(f316(x86001,f316(f316(f100(f905(x86002,a895)),x86003),x86004)),f316(f66(x86005,x86005,x86005,f316(x86001,x86003)),f316(x86001,x86004)))
% 163.96/163.66 [10206]~P72(x102061)+~E(f806(x102064,x102065,x102063,x102066,x102062,x102061),f807(x102064,x102065,x102063,x102066,x102062,x102061))+~P107(f316(f54(x102062),x102066))+E(f316(f316(f316(f58(x102061,x102062,f75(x102061)),f316(f316(f8(f905(x102063,a895),x102061,x102062),f316(f316(f58(x102061,x102063,f75(x102061)),x102064),f72(x102061))),x102065)),f72(x102061)),x102066),f316(f316(f316(f58(x102061,x102063,f75(x102061)),x102064),f72(x102061)),f316(f316(f33(x102062,f905(x102063,a895)),x102066),x102065)))+P107(f316(f316(f318(x102062),f805(x102064,x102065,x102063,x102066,x102062,x102061)),x102066))
% 163.96/163.66 [10236]~P72(x102361)+~E(f806(x102364,x102365,x102363,x102366,x102362,x102361),f807(x102364,x102365,x102363,x102366,x102362,x102361))+~P107(f316(f54(x102362),x102366))+E(f316(f316(f316(f58(x102361,x102362,f75(x102361)),f316(f316(f8(f905(x102363,a895),x102361,x102362),f316(f316(f58(x102361,x102363,f75(x102361)),x102364),f72(x102361))),x102365)),f72(x102361)),x102366),f316(f316(f316(f58(x102361,x102363,f75(x102361)),x102364),f72(x102361)),f316(f316(f33(x102362,f905(x102363,a895)),x102366),x102365)))+~P107(f316(f54(x102363),f316(x102365,f805(x102364,x102365,x102363,x102366,x102362,x102361))))
% 163.96/163.66 [10239]~P72(x102391)+~P107(f316(f54(x102392),x102396))+E(f316(f316(f316(f58(x102391,x102392,f75(x102391)),f316(f316(f8(f905(x102393,a895),x102391,x102392),f316(f316(f58(x102391,x102393,f75(x102391)),x102394),f72(x102391))),x102395)),f72(x102391)),x102396),f316(f316(f316(f58(x102391,x102393,f75(x102391)),x102394),f72(x102391)),f316(f316(f33(x102392,f905(x102393,a895)),x102396),x102395)))+P107(f316(f316(f318(x102392),f805(x102394,x102395,x102393,x102396,x102392,x102391)),x102396))+P107(f316(f316(f318(x102392),f807(x102394,x102395,x102393,x102396,x102392,x102391)),x102396))
% 163.96/163.66 [10240]~P72(x102401)+~P107(f316(f54(x102402),x102406))+E(f316(f316(f316(f58(x102401,x102402,f75(x102401)),f316(f316(f8(f905(x102403,a895),x102401,x102402),f316(f316(f58(x102401,x102403,f75(x102401)),x102404),f72(x102401))),x102405)),f72(x102401)),x102406),f316(f316(f316(f58(x102401,x102403,f75(x102401)),x102404),f72(x102401)),f316(f316(f33(x102402,f905(x102403,a895)),x102406),x102405)))+P107(f316(f316(f318(x102402),f805(x102404,x102405,x102403,x102406,x102402,x102401)),x102406))+P107(f316(f316(f318(x102402),f806(x102404,x102405,x102403,x102406,x102402,x102401)),x102406))
% 163.96/163.66 [10259]~P72(x102591)+~P107(f316(f54(x102592),x102596))+E(f316(f316(f316(f58(x102591,x102592,f75(x102591)),f316(f316(f8(f905(x102593,a895),x102591,x102592),f316(f316(f58(x102591,x102593,f75(x102591)),x102594),f72(x102591))),x102595)),f72(x102591)),x102596),f316(f316(f316(f58(x102591,x102593,f75(x102591)),x102594),f72(x102591)),f316(f316(f33(x102592,f905(x102593,a895)),x102596),x102595)))+P107(f316(f316(f318(x102592),f807(x102594,x102595,x102593,x102596,x102592,x102591)),x102596))+~P107(f316(f54(x102593),f316(x102595,f805(x102594,x102595,x102593,x102596,x102592,x102591))))
% 163.96/163.66 [10260]~P72(x102601)+~P107(f316(f54(x102602),x102606))+E(f316(f316(f316(f58(x102601,x102602,f75(x102601)),f316(f316(f8(f905(x102603,a895),x102601,x102602),f316(f316(f58(x102601,x102603,f75(x102601)),x102604),f72(x102601))),x102605)),f72(x102601)),x102606),f316(f316(f316(f58(x102601,x102603,f75(x102601)),x102604),f72(x102601)),f316(f316(f33(x102602,f905(x102603,a895)),x102606),x102605)))+P107(f316(f316(f318(x102602),f806(x102604,x102605,x102603,x102606,x102602,x102601)),x102606))+~P107(f316(f54(x102603),f316(x102605,f805(x102604,x102605,x102603,x102606,x102602,x102601))))
% 163.96/163.66 [10271]~P72(x102711)+~E(f316(f316(f91(f905(x102713,a895)),f316(x102715,f807(x102714,x102715,x102713,x102716,x102712,x102711))),f316(x102715,f806(x102714,x102715,x102713,x102716,x102712,x102711))),f178(f905(x102713,a895)))+~P107(f316(f54(x102712),x102716))+E(f316(f316(f316(f58(x102711,x102712,f75(x102711)),f316(f316(f8(f905(x102713,a895),x102711,x102712),f316(f316(f58(x102711,x102713,f75(x102711)),x102714),f72(x102711))),x102715)),f72(x102711)),x102716),f316(f316(f316(f58(x102711,x102713,f75(x102711)),x102714),f72(x102711)),f316(f316(f33(x102712,f905(x102713,a895)),x102716),x102715)))+P107(f316(f316(f318(x102712),f805(x102714,x102715,x102713,x102716,x102712,x102711)),x102716))
% 163.96/163.66 [10282]~P72(x102821)+~E(f316(f316(f91(f905(x102823,a895)),f316(x102825,f807(x102824,x102825,x102823,x102826,x102822,x102821))),f316(x102825,f806(x102824,x102825,x102823,x102826,x102822,x102821))),f178(f905(x102823,a895)))+~P107(f316(f54(x102822),x102826))+E(f316(f316(f316(f58(x102821,x102822,f75(x102821)),f316(f316(f8(f905(x102823,a895),x102821,x102822),f316(f316(f58(x102821,x102823,f75(x102821)),x102824),f72(x102821))),x102825)),f72(x102821)),x102826),f316(f316(f316(f58(x102821,x102823,f75(x102821)),x102824),f72(x102821)),f316(f316(f33(x102822,f905(x102823,a895)),x102826),x102825)))+~P107(f316(f54(x102823),f316(x102825,f805(x102824,x102825,x102823,x102826,x102822,x102821))))
% 163.96/163.66 [8938]E(x89381,x89382)+~P55(x89384,x89385,x89386,x89383,x89387)+~E(f316(x89383,x89381),f316(x89383,x89382))+~P107(f316(f316(f318(x89385),x89382),x89387))+~P107(f316(f316(f318(x89385),x89381),x89387))
% 163.96/163.66 [10247]~P107(f316(x102472,x102474))+~E(x102475,f316(f126(x102471,x102472),x102477))+E(f316(f126(x102471,x102472),x102473),f316(f316(f141(x102471),x102474),x102475))+~E(x102473,f316(f316(f124(x102471),x102476),f316(f316(f141(x102471),x102474),x102477)))+P107(f316(x102472,f739(x102475,x102474,x102473,x102472,x102471,x102476,x102477)))
% 163.96/163.66 [10248]~P107(f316(x102484,x102482))+~E(x102483,f316(f126(x102481,x102484),x102487))+E(f316(f316(f141(x102481),x102482),x102483),f316(f126(x102481,x102484),x102485))+~E(x102485,f316(f316(f124(x102481),x102486),f316(f316(f141(x102481),x102482),x102487)))+P107(f316(x102484,f740(x102485,x102484,x102483,x102482,x102481,x102486,x102487)))
% 163.96/163.66 [10299]~P107(f316(x102992,x102994))+~E(x102995,f316(f126(x102991,x102992),x102997))+E(f316(f126(x102991,x102992),x102993),f316(f316(f141(x102991),x102994),x102995))+~E(x102993,f316(f316(f124(x102991),x102996),f316(f316(f141(x102991),x102994),x102997)))+P107(f316(f316(f318(x102991),f739(x102995,x102994,x102993,x102992,x102991,x102996,x102997)),f316(f162(x102991),x102996)))
% 163.96/163.66 [10300]~P107(f316(x103004,x103002))+~E(x103003,f316(f126(x103001,x103004),x103007))+E(f316(f316(f141(x103001),x103002),x103003),f316(f126(x103001,x103004),x103005))+~E(x103005,f316(f316(f124(x103001),x103006),f316(f316(f141(x103001),x103002),x103007)))+P107(f316(f316(f318(x103001),f740(x103005,x103004,x103003,x103002,x103001,x103006,x103007)),f316(f162(x103001),x103006)))
% 163.96/163.66 [10304]~P5(x103041,x103047,x103046)+~P8(x103041,f905(x103045,a895),x103046,x103044)+P107(f316(f316(f318(x103041),f863(x103042,x103043,x103044,x103045,x103046,x103047,x103041)),x103047))+~P107(f316(f316(f318(f905(x103041,a895)),x103043),f316(f316(f53(x103041),x103047),x103046)))+P107(f316(f316(f318(f905(x103045,a895)),f316(f316(f33(x103041,f905(x103045,a895)),x103043),x103044)),x103042))
% 163.96/163.66 [10359]~P5(x103592,x103596,x103597)+~P8(x103592,f905(x103591,a895),x103597,x103594)+~P107(f316(f316(f318(f905(x103592,a895)),x103593),f316(f316(f53(x103592),x103596),x103597)))+~P107(f316(f316(f318(f905(x103591,a895)),f316(x103594,f863(x103595,x103593,x103594,x103591,x103597,x103596,x103592))),x103595))+P107(f316(f316(f318(f905(x103591,a895)),f316(f316(f33(x103592,f905(x103591,a895)),x103593),x103594)),x103595))
% 163.96/163.66 [8520]~P72(x85202)+~P22(x85201,x85205,x85208,x85204)+~E(x85203,f316(f66(x85205,x85202,x85201,x85206),x85208))+~E(x85207,f316(f299(x85201,x85205,x85208),x85204))+E(f316(f316(f9(x85201,x85202),x85203),x85204),f316(f316(f9(x85205,x85202),x85206),x85207))
% 163.96/163.66 [10363]~P72(x103632)+~P22(x103635,x103631,x103638,x103637)+~E(f316(x103636,f585(x103633,x103636,x103634,x103637,x103638,x103631,x103635,x103632)),f316(f316(f66(x103631,x103632,x103635,x103633),x103638),f585(x103633,x103636,x103634,x103637,x103638,x103631,x103635,x103632)))+~E(x103634,f316(f299(x103635,x103631,x103638),x103637))+E(f316(f316(f9(x103631,x103632),x103633),x103634),f316(f316(f9(x103635,x103632),x103636),x103637))
% 163.96/163.66 [10366]~P72(x103662)+~P22(x103661,x103665,x103668,x103664)+~E(x103667,f316(f299(x103661,x103665,x103668),x103664))+E(f316(f316(f9(x103661,x103662),x103663),x103664),f316(f316(f9(x103665,x103662),x103666),x103667))+P107(f316(f316(f318(x103661),f585(x103666,x103663,x103667,x103664,x103668,x103665,x103661,x103662)),x103664))
% 163.96/163.66 [10367]~P76(x103672)+~P22(x103671,x103675,x103678,x103674)+~E(x103677,f316(f299(x103671,x103675,x103678),x103674))+E(f316(f316(f6(x103671,x103672),x103673),x103674),f316(f316(f6(x103675,x103672),x103676),x103677))+P107(f316(f316(f318(x103671),f626(x103676,x103673,x103677,x103674,x103678,x103675,x103671,x103672)),x103674))
% 163.96/163.66 [10372]~P76(x103722)+~P22(x103725,x103721,x103728,x103727)+~E(x103724,f316(f299(x103725,x103721,x103728),x103727))+~E(f316(x103726,f626(x103723,x103726,x103724,x103727,x103728,x103721,x103725,x103722)),f316(x103723,f316(x103728,f626(x103723,x103726,x103724,x103727,x103728,x103721,x103725,x103722))))+E(f316(f316(f6(x103721,x103722),x103723),x103724),f316(f316(f6(x103725,x103722),x103726),x103727))
% 163.96/163.66 [9827]~P20(x98276,x98272,x98275,x98277,x98278,x98271)+~P107(f316(f54(x98272),x98274))+~P107(f316(f54(x98272),x98273))+~E(f316(f316(f91(f905(x98272,a895)),x98273),x98274),f178(f905(x98272,a895)))+E(f316(x98271,f316(f316(f100(f905(x98272,a895)),x98273),x98274)),f316(f316(x98275,f316(x98271,x98273)),f316(x98271,x98274)))
% 163.96/163.66 [10233]~P20(x102338,x102332,x102335,x102337,x102336,x102331)+~E(f316(x102336,f568(x102334,x102333,x102331,x102336,x102337,x102335,x102332)),x102337)+~P107(f316(f54(x102332),x102333))+~P107(f316(f54(x102332),x102334))+E(f316(x102331,f316(f316(f100(f905(x102332,a895)),x102333),x102334)),f316(f316(x102335,f316(x102331,x102333)),f316(x102331,x102334)))
% 163.96/163.66 [10311]~P20(x103118,x103112,x103115,x103117,x103116,x103111)+~P107(f316(f54(x103112),x103113))+~P107(f316(f54(x103112),x103114))+E(f316(x103111,f316(f316(f100(f905(x103112,a895)),x103113),x103114)),f316(f316(x103115,f316(x103111,x103113)),f316(x103111,x103114)))+P107(f316(f316(f318(x103112),f568(x103114,x103113,x103111,x103116,x103117,x103115,x103112)),f316(f316(f91(f905(x103112,a895)),x103113),x103114)))
% 163.96/163.66 [9984]~P5(x99844,x99848,x99845)+~P5(x99841,x99849,x99843)+~P9(x99841,x99844,f905(x99842,a895),x99843,x99845,x99847)+P8(x99841,f905(x99842,a895),x99843,f316(f316(f8(f905(x99844,f905(x99842,a895)),f905(x99842,a895),x99841),f316(f33(x99844,f905(x99842,a895)),f316(f274(x99844,x99844,x99845),f316(f316(f298(x99844),x99846),f178(f905(x99844,a895)))))),x99847))+~P107(f316(f316(f318(x99844),x99846),x99848))
% 163.96/163.66 [5505]~P108(x55053)+~P10(x55053,x55051)+E(x55051,f717(x55052,x55053))+~E(f316(f162(x55053),x55051),x55052)+~P107(f316(f54(x55053),x55052))+~P107(f316(f127(x55053),x55051))
% 163.96/163.66 [7371]P12(x73711,x73712)+~E(f316(x73712,f800(x73712)),f316(x73712,f801(x73712)))+~P107(f316(f316(x73712,f800(x73712)),f800(x73712)))+~P107(f316(f316(x73712,f800(x73712)),f801(x73712)))+~P107(f316(f316(x73712,f801(x73712)),f801(x73712)))+~P107(f316(f316(x73712,x73713),x73713))
% 163.96/163.66 [5132]~P130(x51322)+~P131(x51322)+~P145(x51322)+~P116(x51322)+E(x51321,f2(x51322))+~E(f316(f316(f233(x51322),x51321),x51323),f2(x51322))
% 163.96/163.66 [5133]~P130(x51332)+~P131(x51332)+~P145(x51332)+~P116(x51332)+~E(x51331,f2(a898))+~E(f316(f316(f233(x51332),x51333),x51331),f2(x51332))
% 163.96/163.66 [6605]~P91(x66051)+~E(x66053,f2(x66051))+~E(x66052,f2(x66051))+E(f316(f316(f74(x66051),x66052),x66053),f2(x66051))+~P107(f316(f316(f224(x66051),f2(x66051)),x66053))+~P107(f316(f316(f224(x66051),f2(x66051)),x66052))
% 163.96/163.66 [9006]~E(f316(f240(a898,a898),x90063),f2(a898))+~E(x90061,f316(f316(f74(a898),f316(f316(f75(a898),f316(f240(a898,a898),x90063)),x90062)),f316(f245(a898,a898),x90063)))+P107(f316(f41(x90061,x90062),x90063))+~P107(f316(f316(f224(a898),f316(f245(a898,a898),x90063)),f2(a898)))+P107(f316(f316(f225(a898),f2(a898)),x90062))+~P107(f316(f316(f225(a898),x90062),f316(f245(a898,a898),x90063)))
% 163.96/163.66 [9014]E(x90141,f2(a898))+~E(x90142,f316(f316(f74(a898),f316(f316(f75(a898),f316(f240(a898,a898),x90143)),x90141)),f316(f245(a898,a898),x90143)))+P107(f316(f41(x90142,x90141),x90143))+~P107(f316(f316(f225(a898),f2(a898)),x90141))+~P107(f316(f316(f224(a898),f2(a898)),f316(f245(a898,a898),x90143)))+~P107(f316(f316(f225(a898),f316(f245(a898,a898),x90143)),x90141))
% 163.96/163.66 [9032]~E(f316(f240(a898,a898),x90323),f2(a898))+~E(x90321,f316(f316(f74(a898),f316(f316(f75(a898),f316(f240(a898,a898),x90323)),x90322)),f316(f245(a898,a898),x90323)))+P107(f316(f41(x90321,x90322),x90323))+~P107(f316(f316(f225(a898),f2(a898)),x90322))+~P107(f316(f316(f224(a898),f2(a898)),f316(f245(a898,a898),x90323)))+~P107(f316(f316(f225(a898),f316(f245(a898,a898),x90323)),x90322))
% 163.96/163.66 [6995]~P84(x69952)+E(x69951,f178(f905(x69952,a895)))+E(x69953,f178(f905(x69952,a895)))+~P107(f316(f54(x69952),x69951))+~P107(f316(f54(x69952),x69953))+E(f10(x69952,f316(f316(f100(f905(x69952,a895)),x69953),x69951)),f316(f316(f91(x69952),f10(x69952,x69953)),f10(x69952,x69951)))
% 163.96/163.66 [6996]~P84(x69962)+E(x69961,f178(f905(x69962,a895)))+E(x69963,f178(f905(x69962,a895)))+~P107(f316(f54(x69962),x69961))+~P107(f316(f54(x69962),x69963))+E(f13(x69962,f316(f316(f100(f905(x69962,a895)),x69963),x69961)),f316(f316(f100(x69962),f13(x69962,x69963)),f13(x69962,x69961)))
% 163.96/163.66 [6997]~P108(x69972)+E(x69971,f178(f905(x69972,a895)))+E(x69973,f178(f905(x69972,a895)))+~P107(f316(f54(x69972),x69971))+~P107(f316(f54(x69972),x69973))+E(f14(x69972,f316(f316(f100(f905(x69972,a895)),x69973),x69971)),f316(f316(f222(x69972),f14(x69972,x69973)),f14(x69972,x69971)))
% 163.96/163.66 [6998]~P108(x69982)+E(x69981,f178(f905(x69982,a895)))+E(x69983,f178(f905(x69982,a895)))+~P107(f316(f54(x69982),x69981))+~P107(f316(f54(x69982),x69983))+E(f15(x69982,f316(f316(f100(f905(x69982,a895)),x69983),x69981)),f316(f316(f223(x69982),f15(x69982,x69983)),f15(x69982,x69981)))
% 163.96/163.66 [7639]~P99(x76392)+E(x76391,f178(f905(x76392,a895)))+E(x76393,f178(f905(x76392,a895)))+~P107(f316(f54(x76392),x76391))+~P107(f316(f54(x76392),x76393))+E(f316(f316(f75(x76392),f316(f56(x76392,f75(x76392)),x76393)),f316(f56(x76392,f75(x76392)),x76391)),f316(f56(x76392,f75(x76392)),f316(f316(f100(f905(x76392,a895)),x76393),x76391)))
% 163.96/163.66 [7801]~P108(x78012)+E(x78011,f178(f905(x78012,a895)))+E(x78013,f178(f905(x78012,a895)))+~P107(f316(f54(x78012),x78011))+~P107(f316(f54(x78012),x78013))+E(f316(f316(f222(x78012),f11(x78012,f222(x78012),x78013)),f11(x78012,f222(x78012),x78011)),f11(x78012,f222(x78012),f316(f316(f100(f905(x78012,a895)),x78013),x78011)))
% 163.96/163.66 [7802]~P108(x78022)+E(x78021,f178(f905(x78022,a895)))+E(x78023,f178(f905(x78022,a895)))+~P107(f316(f54(x78022),x78021))+~P107(f316(f54(x78022),x78023))+E(f316(f316(f223(x78022),f12(x78022,f223(x78022),x78023)),f12(x78022,f223(x78022),x78021)),f12(x78022,f223(x78022),f316(f316(f100(f905(x78022,a895)),x78023),x78021)))
% 163.96/163.66 [8839]~P107(f316(x88391,x88393))+P107(f316(x88391,f515(x88391,x88392)))+P107(f316(x88391,f497(x88391,x88392)))+~P107(f316(f316(f225(a1),f2(a1)),x88392))+~P107(f316(f316(f318(a1),x88393),f292(a1,f72(a1),x88392)))+P107(f316(x88391,f316(f316(f23(a1),f497(x88391,x88392)),f316(f316(f75(a1),f514(x88391,x88392)),x88392))))
% 163.96/163.66 [9144]~P107(f316(x91441,x91443))+~P107(f316(x91441,f497(x91441,x91442)))+P107(f316(x91441,f515(x91441,x91442)))+~P107(f316(f316(f225(a1),f2(a1)),x91442))+~P107(f316(f316(f318(a1),x91443),f292(a1,f72(a1),x91442)))+~P107(f316(x91441,f316(f316(f23(a1),f497(x91441,x91442)),f316(f316(f75(a1),f514(x91441,x91442)),x91442))))
% 163.96/163.66 [10399]~P102(x103992)+E(x103991,f178(f905(x103992,a895)))+E(x103993,f178(f905(x103992,a895)))+~P107(f316(f54(x103992),x103991))+~P107(f316(f54(x103992),x103993))+E(f10(x103992,f316(f251(x103992),f316(f316(f8(f905(x103992,a895),a895,x103992),f81(x103992)),f316(f316(f8(f905(x103992,f905(x103992,a895)),f905(x103992,a895),x103992),f316(f8(f905(x103992,a895),a895,x103992),f81(x103992))),f316(f316(f7(x103992,f905(x103992,f905(x103992,a895)),f905(x103992,f905(x103992,a895))),f316(f316(f8(f905(x103992,f905(f905(x103992,a895),f905(x103992,a895))),f905(f905(x103992,f905(x103992,a895)),f905(x103992,f905(x103992,a895))),x103992),f18(x103992,f905(x103992,a895),f905(x103992,a895))),f316(f316(f8(f905(x103992,f905(x103992,f905(a895,a895))),f905(x103992,f905(f905(x103992,a895),f905(x103992,a895))),x103992),f316(f8(f905(x103992,f905(a895,a895)),f905(f905(x103992,a895),f905(x103992,a895)),x103992),f18(x103992,a895,a895))),f316(f316(f8(f905(x103992,f905(x103992,a895)),f905(x103992,f905(x103992,f905(a895,a895))),x103992),f316(f8(f905(x103992,a895),f905(x103992,f905(a895,a895)),x103992),f316(f8(a895,f905(a895,a895),x103992),a314))),f316(f316(f7(x103992,f905(x103992,f905(x103992,x103992)),f905(x103992,f905(x103992,a895))),f316(f316(f8(f905(f905(x103992,x103992),f905(x103992,a895)),f905(f905(x103992,f905(x103992,x103992)),f905(x103992,f905(x103992,a895))),x103992),f8(f905(x103992,x103992),f905(x103992,a895),x103992)),f316(f316(f8(f905(x103992,a895),f905(f905(x103992,x103992),f905(x103992,a895)),x103992),f8(x103992,a895,x103992)),a313))),f100(x103992)))))),f316(f316(f7(x103992,f905(x103992,a895),f905(x103992,a895)),f316(f316(f8(f905(a895,a895),f905(f905(x103992,a895),f905(x103992,a895)),x103992),f8(a895,a895,x103992)),f316(f316(f8(a895,f905(a895,a895),x103992),a314),f316(f316(f7(x103992,f905(x103992,a895),a895),f318(x103992)),x103993)))),f316(f316(f7(x103992,f905(x103992,a895),a895),f318(x103992)),x103991))))))),f316(f316(f100(x103992),f10(x103992,x103993)),f10(x103992,x103991)))
% 163.96/163.66 [10400]~P102(x104002)+E(x104001,f178(f905(x104002,a895)))+E(x104003,f178(f905(x104002,a895)))+~P107(f316(f54(x104002),x104001))+~P107(f316(f54(x104002),x104003))+E(f13(x104002,f316(f251(x104002),f316(f316(f8(f905(x104002,a895),a895,x104002),f81(x104002)),f316(f316(f8(f905(x104002,f905(x104002,a895)),f905(x104002,a895),x104002),f316(f8(f905(x104002,a895),a895,x104002),f81(x104002))),f316(f316(f7(x104002,f905(x104002,f905(x104002,a895)),f905(x104002,f905(x104002,a895))),f316(f316(f8(f905(x104002,f905(f905(x104002,a895),f905(x104002,a895))),f905(f905(x104002,f905(x104002,a895)),f905(x104002,f905(x104002,a895))),x104002),f18(x104002,f905(x104002,a895),f905(x104002,a895))),f316(f316(f8(f905(x104002,f905(x104002,f905(a895,a895))),f905(x104002,f905(f905(x104002,a895),f905(x104002,a895))),x104002),f316(f8(f905(x104002,f905(a895,a895)),f905(f905(x104002,a895),f905(x104002,a895)),x104002),f18(x104002,a895,a895))),f316(f316(f8(f905(x104002,f905(x104002,a895)),f905(x104002,f905(x104002,f905(a895,a895))),x104002),f316(f8(f905(x104002,a895),f905(x104002,f905(a895,a895)),x104002),f316(f8(a895,f905(a895,a895),x104002),a314))),f316(f316(f7(x104002,f905(x104002,f905(x104002,x104002)),f905(x104002,f905(x104002,a895))),f316(f316(f8(f905(f905(x104002,x104002),f905(x104002,a895)),f905(f905(x104002,f905(x104002,x104002)),f905(x104002,f905(x104002,a895))),x104002),f8(f905(x104002,x104002),f905(x104002,a895),x104002)),f316(f316(f8(f905(x104002,a895),f905(f905(x104002,x104002),f905(x104002,a895)),x104002),f8(x104002,a895,x104002)),a313))),f91(x104002)))))),f316(f316(f7(x104002,f905(x104002,a895),f905(x104002,a895)),f316(f316(f8(f905(a895,a895),f905(f905(x104002,a895),f905(x104002,a895)),x104002),f8(a895,a895,x104002)),f316(f316(f8(a895,f905(a895,a895),x104002),a314),f316(f316(f7(x104002,f905(x104002,a895),a895),f318(x104002)),x104003)))),f316(f316(f7(x104002,f905(x104002,a895),a895),f318(x104002)),x104001))))))),f316(f316(f91(x104002),f13(x104002,x104003)),f13(x104002,x104001)))
% 163.96/163.66 [10401]~P108(x104012)+E(x104011,f178(f905(x104012,a895)))+E(x104013,f178(f905(x104012,a895)))+~P107(f316(f54(x104012),x104011))+~P107(f316(f54(x104012),x104013))+E(f12(x104012,f223(x104012),f316(f251(x104012),f316(f316(f8(f905(x104012,a895),a895,x104012),f81(x104012)),f316(f316(f8(f905(x104012,f905(x104012,a895)),f905(x104012,a895),x104012),f316(f8(f905(x104012,a895),a895,x104012),f81(x104012))),f316(f316(f7(x104012,f905(x104012,f905(x104012,a895)),f905(x104012,f905(x104012,a895))),f316(f316(f8(f905(x104012,f905(f905(x104012,a895),f905(x104012,a895))),f905(f905(x104012,f905(x104012,a895)),f905(x104012,f905(x104012,a895))),x104012),f18(x104012,f905(x104012,a895),f905(x104012,a895))),f316(f316(f8(f905(x104012,f905(x104012,f905(a895,a895))),f905(x104012,f905(f905(x104012,a895),f905(x104012,a895))),x104012),f316(f8(f905(x104012,f905(a895,a895)),f905(f905(x104012,a895),f905(x104012,a895)),x104012),f18(x104012,a895,a895))),f316(f316(f8(f905(x104012,f905(x104012,a895)),f905(x104012,f905(x104012,f905(a895,a895))),x104012),f316(f8(f905(x104012,a895),f905(x104012,f905(a895,a895)),x104012),f316(f8(a895,f905(a895,a895),x104012),a314))),f316(f316(f7(x104012,f905(x104012,f905(x104012,x104012)),f905(x104012,f905(x104012,a895))),f316(f316(f8(f905(f905(x104012,x104012),f905(x104012,a895)),f905(f905(x104012,f905(x104012,x104012)),f905(x104012,f905(x104012,a895))),x104012),f8(f905(x104012,x104012),f905(x104012,a895),x104012)),f316(f316(f8(f905(x104012,a895),f905(f905(x104012,x104012),f905(x104012,a895)),x104012),f8(x104012,a895,x104012)),a313))),f222(x104012)))))),f316(f316(f7(x104012,f905(x104012,a895),f905(x104012,a895)),f316(f316(f8(f905(a895,a895),f905(f905(x104012,a895),f905(x104012,a895)),x104012),f8(a895,a895,x104012)),f316(f316(f8(a895,f905(a895,a895),x104012),a314),f316(f316(f7(x104012,f905(x104012,a895),a895),f318(x104012)),x104013)))),f316(f316(f7(x104012,f905(x104012,a895),a895),f318(x104012)),x104011))))))),f316(f316(f222(x104012),f12(x104012,f223(x104012),x104013)),f12(x104012,f223(x104012),x104011)))
% 163.96/163.66 [10402]~P108(x104022)+E(x104021,f178(f905(x104022,a895)))+E(x104023,f178(f905(x104022,a895)))+~P107(f316(f54(x104022),x104021))+~P107(f316(f54(x104022),x104023))+E(f11(x104022,f222(x104022),f316(f251(x104022),f316(f316(f8(f905(x104022,a895),a895,x104022),f81(x104022)),f316(f316(f8(f905(x104022,f905(x104022,a895)),f905(x104022,a895),x104022),f316(f8(f905(x104022,a895),a895,x104022),f81(x104022))),f316(f316(f7(x104022,f905(x104022,f905(x104022,a895)),f905(x104022,f905(x104022,a895))),f316(f316(f8(f905(x104022,f905(f905(x104022,a895),f905(x104022,a895))),f905(f905(x104022,f905(x104022,a895)),f905(x104022,f905(x104022,a895))),x104022),f18(x104022,f905(x104022,a895),f905(x104022,a895))),f316(f316(f8(f905(x104022,f905(x104022,f905(a895,a895))),f905(x104022,f905(f905(x104022,a895),f905(x104022,a895))),x104022),f316(f8(f905(x104022,f905(a895,a895)),f905(f905(x104022,a895),f905(x104022,a895)),x104022),f18(x104022,a895,a895))),f316(f316(f8(f905(x104022,f905(x104022,a895)),f905(x104022,f905(x104022,f905(a895,a895))),x104022),f316(f8(f905(x104022,a895),f905(x104022,f905(a895,a895)),x104022),f316(f8(a895,f905(a895,a895),x104022),a314))),f316(f316(f7(x104022,f905(x104022,f905(x104022,x104022)),f905(x104022,f905(x104022,a895))),f316(f316(f8(f905(f905(x104022,x104022),f905(x104022,a895)),f905(f905(x104022,f905(x104022,x104022)),f905(x104022,f905(x104022,a895))),x104022),f8(f905(x104022,x104022),f905(x104022,a895),x104022)),f316(f316(f8(f905(x104022,a895),f905(f905(x104022,x104022),f905(x104022,a895)),x104022),f8(x104022,a895,x104022)),a313))),f223(x104022)))))),f316(f316(f7(x104022,f905(x104022,a895),f905(x104022,a895)),f316(f316(f8(f905(a895,a895),f905(f905(x104022,a895),f905(x104022,a895)),x104022),f8(a895,a895,x104022)),f316(f316(f8(a895,f905(a895,a895),x104022),a314),f316(f316(f7(x104022,f905(x104022,a895),a895),f318(x104022)),x104023)))),f316(f316(f7(x104022,f905(x104022,a895),a895),f318(x104022)),x104021))))))),f316(f316(f223(x104022),f11(x104022,f222(x104022),x104023)),f11(x104022,f222(x104022),x104021)))
% 163.96/163.66 [7327]~P126(x73273)+E(x73271,x73272)+~E(f316(f316(f233(x73273),x73271),x73274),f316(f316(f233(x73273),x73272),x73274))+~P107(f316(f316(f224(x73273),f2(x73273)),x73272))+~P107(f316(f316(f224(x73273),f2(x73273)),x73271))+~P107(f316(f316(f225(a898),f2(a898)),x73274))
% 163.96/163.66 [7600]~P108(x76002)+E(x76001,f178(f905(x76002,a895)))+~P107(f316(f54(x76002),x76001))+~P107(f316(f316(f318(x76002),x76004),x76001))+P107(f316(f316(f224(x76002),x76003),x76004))+~P107(f316(f316(f224(x76002),x76003),f316(f56(x76002,f222(x76002)),x76001)))
% 163.96/163.66 [7601]~P103(x76012)+E(x76011,f178(f905(x76012,a895)))+~P107(f316(f54(x76012),x76011))+~P107(f316(f316(f318(x76012),x76014),x76011))+P107(f316(f316(f224(x76012),x76013),x76014))+~P107(f316(f316(f224(x76012),x76013),f316(f56(x76012,f91(x76012)),x76011)))
% 163.96/163.66 [7602]~P108(x76022)+E(x76021,f178(f905(x76022,a895)))+~P107(f316(f54(x76022),x76021))+~P107(f316(f316(f318(x76022),x76024),x76021))+P107(f316(f316(f225(x76022),x76023),x76024))+~P107(f316(f316(f225(x76022),x76023),f316(f56(x76022,f222(x76022)),x76021)))
% 163.96/163.66 [7506]E(x75061,f2(a1))+E(f316(f316(f29(a1),x75062),x75061),x75063)+~P107(f316(f316(f224(a1),x75064),f2(a1)))+~E(x75062,f316(f316(f74(a1),f316(f316(f75(a1),x75061),x75063)),x75064))+P107(f316(f316(f225(a1),f2(a1)),x75061))+~P107(f316(f316(f225(a1),x75061),x75064))
% 163.96/163.66 [7523]E(f38(a1,x75232,x75231),x75233)+E(x75231,f2(a1))+~P107(f316(f316(f224(a1),x75233),f2(a1)))+~E(x75232,f316(f316(f74(a1),f316(f316(f75(a1),x75231),x75234)),x75233))+P107(f316(f316(f225(a1),f2(a1)),x75231))+~P107(f316(f316(f225(a1),x75231),x75233))
% 163.96/163.66 [7638]E(x76381,f2(a1))+E(f316(f316(f29(a1),x76382),x76381),x76383)+~E(x76382,f316(f316(f74(a1),f316(f316(f75(a1),x76381),x76383)),x76384))+~P107(f316(f316(f224(a1),f2(a1)),x76384))+~P107(f316(f316(f225(a1),f2(a1)),x76381))+~P107(f316(f316(f225(a1),x76384),x76381))
% 163.96/163.66 [7661]E(f38(a1,x76612,x76611),x76613)+E(x76611,f2(a1))+~E(x76612,f316(f316(f74(a1),f316(f316(f75(a1),x76611),x76614)),x76613))+~P107(f316(f316(f224(a1),f2(a1)),x76613))+~P107(f316(f316(f225(a1),f2(a1)),x76611))+~P107(f316(f316(f225(a1),x76613),x76611))
% 163.96/163.66 [7805]~P108(x78052)+E(x78051,f178(f905(x78052,a895)))+~P107(f316(f54(x78052),x78051))+~P107(f316(f316(f224(x78052),x78054),x78053))+~P107(f316(f316(f318(x78052),x78054),x78051))+P107(f316(f316(f224(x78052),f316(f56(x78052,f222(x78052)),x78051)),x78053))
% 163.96/163.66 [7806]~P108(x78062)+E(x78061,f178(f905(x78062,a895)))+~P107(f316(f54(x78062),x78061))+~P107(f316(f316(f225(x78062),x78064),x78063))+~P107(f316(f316(f318(x78062),x78064),x78061))+P107(f316(f316(f225(x78062),f316(f56(x78062,f222(x78062)),x78061)),x78063))
% 163.96/163.66 [8371]~P107(f316(f316(f224(a1),x83714),f2(a1)))+~E(x83711,f316(f316(f74(a1),f316(f316(f75(a1),x83712),x83713)),x83714))+~P107(f316(f316(f224(a1),f2(a1)),x83714))+~P107(f316(f316(f225(a1),x83714),x83712))+~P107(f316(f316(f225(a1),x83712),x83714))+P107(f316(f42(x83711,x83712),f316(f316(f241(a1,a1),x83713),x83714)))
% 163.96/163.66 [8539]~P111(x85391)+P107(f316(f316(f225(f905(x85391,a895)),f292(x85391,x85392,x85393)),f292(x85391,x85394,x85395)))+~P107(f316(f316(f224(x85391),x85394),x85392))+~P107(f316(f316(f224(x85391),x85394),x85395))+~P107(f316(f316(f224(x85391),x85393),x85395))+~P107(f316(f316(f225(x85391),x85393),x85395))
% 163.96/163.66 [8540]~P111(x85401)+P107(f316(f316(f225(f905(x85401,a895)),f292(x85401,x85402,x85403)),f292(x85401,x85404,x85405)))+~P107(f316(f316(f224(x85401),x85403),x85405))+~P107(f316(f316(f224(x85401),x85404),x85405))+~P107(f316(f316(f224(x85401),x85404),x85402))+~P107(f316(f316(f225(x85401),x85404),x85402))
% 163.96/163.66 [9406]P57(x94062,x94063,x94064,x94061)+E(x94061,f178(f905(x94062,a895)))+~P107(f316(f54(x94062),x94064))+~P107(f316(f54(x94062),x94061))+~P107(f316(f316(x94063,f354(x94061,x94064,x94063,x94062)),x94065))+~P107(f316(f316(f318(x94062),x94065),x94061))
% 163.96/163.66 [9407]P57(x94072,x94073,x94074,x94071)+E(x94071,f178(f905(x94072,a895)))+~P107(f316(f54(x94072),x94074))+~P107(f316(f54(x94072),x94071))+~P107(f316(f316(x94073,f790(x94073,x94071,x94074,x94072)),x94075))+~P107(f316(f316(f318(x94072),x94075),x94071))
% 163.96/163.66 [9408]P57(x94082,x94083,x94084,x94081)+E(x94081,f178(f905(x94082,a895)))+~P107(f316(f54(x94082),x94084))+~P107(f316(f54(x94082),x94081))+~P107(f316(f316(x94083,f791(x94081,x94084,x94083,x94082)),x94085))+~P107(f316(f316(f318(x94082),x94085),x94081))
% 163.96/163.66 [9554]~E(x95543,x95545)+~P72(x95541)+~P76(x95541)+~P39(x95543)+E(f316(f316(f9(a1,x95541),x95542),x95543),f316(f316(f9(a1,x95541),x95544),x95545))+P107(f316(f316(f224(a1),f2(a1)),f550(x95542,x95544,x95543,x95545,x95541)))
% 163.96/163.66 [9555]~E(x95553,x95555)+~P72(x95551)+~P76(x95551)+~P39(x95553)+E(f316(f316(f6(a1,x95551),x95552),x95553),f316(f316(f6(a1,x95551),x95554),x95555))+P107(f316(f316(f224(a1),f2(a1)),f552(x95552,x95554,x95553,x95555,x95551)))
% 163.96/163.66 [9736]~E(x97365,x97363)+~P72(x97361)+~P76(x97361)+~P39(x97365)+~E(f316(x97362,f550(x97364,x97362,x97365,x97363,x97361)),f316(x97364,f550(x97364,x97362,x97365,x97363,x97361)))+E(f316(f316(f9(a1,x97361),x97362),x97363),f316(f316(f9(a1,x97361),x97364),x97365))
% 163.96/163.66 [9737]~E(x97375,x97373)+~P72(x97371)+~P76(x97371)+~P39(x97375)+~E(f316(x97372,f552(x97374,x97372,x97375,x97373,x97371)),f316(x97374,f552(x97374,x97372,x97375,x97373,x97371)))+E(f316(f316(f6(a1,x97371),x97372),x97373),f316(f316(f6(a1,x97371),x97374),x97375))
% 163.96/163.66 [9824]~P79(x98243)+E(f316(x98241,x98242),f2(x98243))+~E(f316(f316(f6(x98244,x98243),x98241),x98245),f2(x98243))+~P107(f316(f54(x98244),x98245))+P107(f316(f316(f318(x98244),f546(x98242,x98241,x98245,x98244,x98243)),x98245))+~P107(f316(f316(f318(x98244),x98242),x98245))
% 163.96/163.66 [9954]~P79(x99543)+E(f316(x99541,x99542),f2(x99543))+~E(f316(f316(f6(x99544,x99543),x99541),x99545),f2(x99543))+~P107(f316(f54(x99544),x99545))+~P107(f316(f316(f318(x99544),x99542),x99545))+~P107(f316(f316(f224(x99543),f2(x99543)),f316(x99541,f546(x99542,x99541,x99545,x99544,x99543))))
% 163.96/163.66 [8457]~P138(x84571)+~P107(f316(f316(f224(x84571),x84573),x84575))+~P107(f316(f316(f224(x84571),x84572),x84574))+~P107(f316(f316(f224(x84571),f2(x84571)),x84573))+~P107(f316(f316(f224(x84571),f2(x84571)),x84574))+P107(f316(f316(f224(x84571),f316(f316(f75(x84571),x84572),x84573)),f316(f316(f75(x84571),x84574),x84575)))
% 163.96/163.66 [8458]~P138(x84581)+~P107(f316(f316(f224(x84581),x84583),x84585))+~P107(f316(f316(f224(x84581),x84582),x84584))+~P107(f316(f316(f224(x84581),f2(x84581)),x84583))+~P107(f316(f316(f224(x84581),f2(x84581)),x84582))+P107(f316(f316(f224(x84581),f316(f316(f75(x84581),x84582),x84583)),f316(f316(f75(x84581),x84584),x84585)))
% 163.96/163.66 [8459]~P68(x84591)+~P107(f316(f316(f225(x84591),f2(x84591)),x84595))+~P107(f316(f316(f224(x84591),x84595),x84593))+~P107(f316(f316(f224(x84591),x84592),x84594))+~P107(f316(f316(f224(x84591),f2(x84591)),x84592))+P107(f316(f316(f224(x84591),f316(f316(f280(x84591),x84592),x84593)),f316(f316(f280(x84591),x84594),x84595)))
% 163.96/163.66 [8460]~P132(x84601)+~P107(f316(f316(f224(x84601),x84603),x84605))+~P107(f316(f316(f224(x84601),f2(x84601)),x84602))+~P107(f316(f316(f225(x84601),x84602),x84604))+~P107(f316(f316(f225(x84601),f2(x84601)),x84603))+P107(f316(f316(f225(x84601),f316(f316(f75(x84601),x84602),x84603)),f316(f316(f75(x84601),x84604),x84605)))
% 163.96/163.66 [8461]~P132(x84611)+~P107(f316(f316(f224(x84611),x84612),x84614))+~P107(f316(f316(f224(x84611),f2(x84611)),x84613))+~P107(f316(f316(f225(x84611),x84613),x84615))+~P107(f316(f316(f225(x84611),f2(x84611)),x84612))+P107(f316(f316(f225(x84611),f316(f316(f75(x84611),x84612),x84613)),f316(f316(f75(x84611),x84614),x84615)))
% 163.96/163.66 [8462]~P132(x84621)+~P107(f316(f316(f224(x84621),f2(x84621)),x84623))+~P107(f316(f316(f224(x84621),f2(x84621)),x84622))+~P107(f316(f316(f225(x84621),x84623),x84625))+~P107(f316(f316(f225(x84621),x84622),x84624))+P107(f316(f316(f225(x84621),f316(f316(f75(x84621),x84622),x84623)),f316(f316(f75(x84621),x84624),x84625)))
% 163.96/163.66 [8463]~P132(x84631)+~P107(f316(f316(f224(x84631),f2(x84631)),x84633))+~P107(f316(f316(f225(x84631),x84633),x84635))+~P107(f316(f316(f225(x84631),x84632),x84634))+~P107(f316(f316(f225(x84631),f2(x84631)),x84634))+P107(f316(f316(f225(x84631),f316(f316(f75(x84631),x84632),x84633)),f316(f316(f75(x84631),x84634),x84635)))
% 163.96/163.66 [8464]~P68(x84641)+~P107(f316(f316(f224(x84641),x84645),x84643))+~P107(f316(f316(f224(x84641),f2(x84641)),x84642))+~P107(f316(f316(f225(x84641),x84642),x84644))+~P107(f316(f316(f225(x84641),f2(x84641)),x84645))+P107(f316(f316(f225(x84641),f316(f316(f280(x84641),x84642),x84643)),f316(f316(f280(x84641),x84644),x84645)))
% 163.96/163.66 [8465]~P68(x84651)+~P107(f316(f316(f224(x84651),x84652),x84654))+~P107(f316(f316(f225(x84651),x84655),x84653))+~P107(f316(f316(f225(x84651),f2(x84651)),x84655))+~P107(f316(f316(f225(x84651),f2(x84651)),x84652))+P107(f316(f316(f225(x84651),f316(f316(f280(x84651),x84652),x84653)),f316(f316(f280(x84651),x84654),x84655)))
% 163.96/163.66 [9869]~P90(x98695)+~P76(x98695)+E(x98691,f178(f905(x98692,a895)))+~P107(f316(f54(x98692),x98691))+P107(f316(f316(f318(x98692),f548(x98693,x98694,x98691,x98692,x98695)),x98691))+P107(f316(f316(f225(x98695),f316(f316(f6(x98692,x98695),x98694),x98691)),f316(f316(f6(x98692,x98695),x98693),x98691)))
% 163.96/163.66 [9980]~P88(x99801)+~P76(x99801)+~P107(f316(f54(x99802),x99805))+~P107(f316(f316(f224(x99801),f2(x99801)),f316(x99803,f540(x99803,x99804,x99805,x99802,x99801))))+P107(f316(f316(f224(x99801),f316(f316(f6(x99802,x99801),x99803),x99804)),f316(f316(f6(x99802,x99801),x99803),x99805)))+~P107(f316(f316(f224(f905(x99802,a895)),x99804),x99805))
% 163.96/163.66 [10151]~P90(x101513)+~P76(x101513)+E(x101511,f178(f905(x101512,a895)))+~P107(f316(f54(x101512),x101511))+~P107(f316(f316(f225(x101513),f316(x101514,f548(x101515,x101514,x101511,x101512,x101513))),f316(x101515,f548(x101515,x101514,x101511,x101512,x101513))))+P107(f316(f316(f225(x101513),f316(f316(f6(x101512,x101513),x101514),x101511)),f316(f316(f6(x101512,x101513),x101515),x101511)))
% 163.96/163.66 [7181]~P14(x71812,x71815,x71814)+E(x71811,f178(f905(x71812,a895)))+E(x71813,f178(f905(x71812,a895)))+~P107(f316(f54(x71812),x71811))+~P107(f316(f54(x71812),x71813))+E(f316(x71814,f316(f316(f100(f905(x71812,a895)),x71813),x71811)),f316(f316(x71815,f316(x71814,x71813)),f316(x71814,x71811)))
% 163.96/163.66 [7771]~P149(x77711,x77714,x77713)+P107(f316(x77711,x77712))+~P107(f316(f316(f225(a1),x77714),f2(a1)))+~P107(f316(f316(f224(a1),x77715),f2(a1)))+~E(x77713,f316(f316(f74(a1),f316(f316(f75(a1),x77714),x77712)),x77715))+~P107(f316(f316(f225(a1),x77714),x77715))
% 163.96/163.66 [7772]~P148(x77721,x77724,x77723)+P107(f316(x77721,x77722))+~P107(f316(f316(f225(a1),x77724),f2(a1)))+~P107(f316(f316(f224(a1),x77722),f2(a1)))+~E(x77723,f316(f316(f74(a1),f316(f316(f75(a1),x77724),x77725)),x77722))+~P107(f316(f316(f225(a1),x77724),x77722))
% 163.96/163.66 [7814]~P149(x78141,x78144,x78143)+P107(f316(x78141,x78142))+~E(x78143,f316(f316(f74(a1),f316(f316(f75(a1),x78144),x78142)),x78145))+~P107(f316(f316(f224(a1),f2(a1)),x78145))+~P107(f316(f316(f225(a1),f2(a1)),x78144))+~P107(f316(f316(f225(a1),x78145),x78144))
% 163.96/163.66 [7815]~P148(x78151,x78154,x78153)+P107(f316(x78151,x78152))+~E(x78153,f316(f316(f74(a1),f316(f316(f75(a1),x78154),x78155)),x78152))+~P107(f316(f316(f224(a1),f2(a1)),x78152))+~P107(f316(f316(f225(a1),f2(a1)),x78154))+~P107(f316(f316(f225(a1),x78152),x78154))
% 163.96/163.66 [8751]P107(f316(f316(x87511,x87512),x87513))+~P107(f316(f316(x87511,f316(f316(f29(a1),x87514),x87515)),f38(a1,x87514,x87515)))+~P107(f316(f316(f225(a1),x87515),f2(a1)))+~P107(f316(f316(f224(a1),x87513),f2(a1)))+~E(x87514,f316(f316(f74(a1),f316(f316(f75(a1),x87515),x87512)),x87513))+~P107(f316(f316(f225(a1),x87515),x87513))
% 163.96/163.66 [8760]P107(f316(f316(x87601,x87602),x87603))+~P107(f316(f316(x87601,f316(f316(f29(a1),x87604),x87605)),f38(a1,x87604,x87605)))+~E(x87604,f316(f316(f74(a1),f316(f316(f75(a1),x87605),x87602)),x87603))+~P107(f316(f316(f224(a1),f2(a1)),x87603))+~P107(f316(f316(f225(a1),f2(a1)),x87605))+~P107(f316(f316(f225(a1),x87603),x87605))
% 163.96/163.66 [9022]E(x90221,x90222)+~P54(x90223,x90225,x90224)+~P107(f316(f316(f318(x90223),x90222),x90225))+~P107(f316(f316(f318(x90223),x90221),x90225))+P107(f316(f316(f318(f904(x90223,x90223)),f316(f316(f241(x90223,x90223),x90221),x90222)),x90224))+P107(f316(f316(f318(f904(x90223,x90223)),f316(f316(f241(x90223,x90223),x90222),x90221)),x90224))
% 163.96/163.66 [9897]~P88(x98975)+~P76(x98975)+~P107(f316(f54(x98971),x98974))+P107(f316(f316(f224(x98975),f316(f316(f6(x98971,x98975),x98972),x98973)),f316(f316(f6(x98971,x98975),x98972),x98974)))+~P107(f316(f316(f224(f905(x98971,a895)),x98973),x98974))+P107(f316(f316(f318(x98971),f540(x98972,x98973,x98974,x98971,x98975)),f316(f316(f23(f905(x98971,a895)),x98974),x98973)))
% 163.96/163.66 [9988]E(x99881,f178(f905(x99882,a895)))+~P107(f316(f54(x99882),x99883))+~P107(f316(f54(x99882),x99881))+P107(f316(f316(f318(f904(f905(x99882,a895),f905(x99882,a895))),f316(f316(f241(f905(x99882,a895),f905(x99882,a895)),x99883),x99881)),f307(x99882,x99884)))+~P107(f316(f316(f318(x99882),x99885),x99881))+~P107(f316(f316(f318(f904(x99882,x99882)),f316(f316(f241(x99882,x99882),f356(x99884,x99881,x99883,x99882)),x99885)),x99884))
% 163.96/163.66 [9989]E(x99891,f178(f905(x99892,a895)))+~P107(f316(f54(x99892),x99893))+~P107(f316(f54(x99892),x99891))+P107(f316(f316(f318(f904(f905(x99892,a895),f905(x99892,a895))),f316(f316(f241(f905(x99892,a895),f905(x99892,a895)),x99893),x99891)),f307(x99892,x99894)))+~P107(f316(f316(f318(x99892),x99895),x99891))+~P107(f316(f316(f318(f904(x99892,x99892)),f316(f316(f241(x99892,x99892),f596(x99894,x99891,x99893,x99892)),x99895)),x99894))
% 163.96/163.66 [10155]~P79(x101551)+~E(f316(f316(f6(x101555,x101551),x101552),x101556),x101554)+~P107(f316(f54(x101555),x101556))+P107(f316(f316(f318(x101555),f541(x101553,x101554,x101552,x101556,x101555,x101551)),x101556))+P107(f316(f316(f224(x101551),f316(x101552,x101553)),x101554))+~P107(f316(f316(f318(x101555),x101553),x101556))
% 163.96/163.66 [10203]~P79(x102031)+~E(f316(f316(f6(x102035,x102031),x102032),x102036),x102034)+~P107(f316(f54(x102035),x102036))+~P107(f316(f316(f318(x102035),x102033),x102036))+~P107(f316(f316(f224(x102031),f2(x102031)),f316(x102032,f541(x102033,x102034,x102032,x102036,x102035,x102031))))+P107(f316(f316(f224(x102031),f316(x102032,x102033)),x102034))
% 163.96/163.66 [10346]~E(x103465,x103468)+~E(x103464,x103467)+~P110(x103461)+~P76(x103462)+E(f316(f316(f6(x103461,x103462),x103463),f316(f291(x103461,x103464),x103465)),f316(f316(f6(x103461,x103462),x103466),f316(f291(x103461,x103467),x103468)))+P107(f316(f316(f224(x103461),x103464),f625(x103463,x103466,x103465,x103468,x103464,x103467,x103461,x103462)))
% 163.96/163.66 [10362]~E(x103627,x103624)+~E(x103628,x103625)+~P110(x103621)+~P76(x103622)+~E(f316(x103623,f625(x103626,x103623,x103628,x103625,x103627,x103624,x103621,x103622)),f316(x103626,f625(x103626,x103623,x103628,x103625,x103627,x103624,x103621,x103622)))+E(f316(f316(f6(x103621,x103622),x103623),f316(f291(x103621,x103624),x103625)),f316(f316(f6(x103621,x103622),x103626),f316(f291(x103621,x103627),x103628)))
% 163.96/163.66 [10365]~E(x103654,x103657)+~E(x103655,x103658)+~P110(x103651)+~P76(x103652)+E(f316(f316(f6(x103651,x103652),x103653),f316(f291(x103651,x103654),x103655)),f316(f316(f6(x103651,x103652),x103656),f316(f291(x103651,x103657),x103658)))+P107(f316(f316(f225(x103651),f625(x103653,x103656,x103655,x103658,x103654,x103657,x103651,x103652)),x103655))
% 163.96/163.66 [9995]~P5(x99955,x99959,x99956)+~P5(x99951,x999510,x99953)+~P9(x99951,x99955,f905(x99952,a895),x99953,x99956,x99958)+~P107(f316(f316(f318(x99955),x99957),x99959))+~P107(f316(f316(f318(x99951),x99954),x999510))+E(f316(f316(f33(x99951,f905(x99952,a895)),f316(f274(x99951,x99951,x99953),f316(f316(f298(x99951),x99954),f178(f905(x99951,a895))))),f316(f316(f8(f905(x99955,f905(x99952,a895)),f905(x99952,a895),x99951),f316(f33(x99955,f905(x99952,a895)),f316(f274(x99955,x99955,x99956),f316(f316(f298(x99955),x99957),f178(f905(x99955,a895)))))),x99958)),f316(f316(x99958,x99954),x99957))
% 163.96/163.66 [5679]~P108(x56793)+~P10(x56793,x56792)+~P10(x56793,x56791)+E(x56791,x56792)+~E(f316(f162(x56793),x56791),f316(f162(x56793),x56792))+~P107(f316(f127(x56793),x56792))+~P107(f316(f127(x56793),x56791))
% 163.96/163.66 [5006]~P130(x50062)+~P131(x50062)+~P145(x50062)+~P116(x50062)+~E(x50063,f2(x50062))+E(x50061,f2(a898))+E(f316(f316(f233(x50062),x50063),x50061),f2(x50062))
% 163.96/163.66 [9281]E(x92811,f2(a898))+~E(x92812,f316(f316(f74(a898),f316(f316(f75(a898),f316(f240(a898,a898),x92813)),x92811)),f316(f245(a898,a898),x92813)))+P107(f316(f41(x92812,x92811),x92813))+~P107(f316(f316(f224(a898),f316(f245(a898,a898),x92813)),f2(a898)))+~P107(f316(f316(f224(a898),f2(a898)),f316(f245(a898,a898),x92813)))+~P107(f316(f316(f225(a898),x92811),f316(f245(a898,a898),x92813)))+~P107(f316(f316(f225(a898),f316(f245(a898,a898),x92813)),x92811))
% 163.96/163.66 [9289]~E(f316(f240(a898,a898),x92893),f2(a898))+~E(x92891,f316(f316(f74(a898),f316(f316(f75(a898),f316(f240(a898,a898),x92893)),x92892)),f316(f245(a898,a898),x92893)))+P107(f316(f41(x92891,x92892),x92893))+~P107(f316(f316(f224(a898),f316(f245(a898,a898),x92893)),f2(a898)))+~P107(f316(f316(f224(a898),f2(a898)),f316(f245(a898,a898),x92893)))+~P107(f316(f316(f225(a898),x92892),f316(f245(a898,a898),x92893)))+~P107(f316(f316(f225(a898),f316(f245(a898,a898),x92893)),x92892))
% 163.96/163.66 [8127]~P69(x81272)+E(x81271,f178(f905(x81272,a895)))+E(x81273,f178(f905(x81272,a895)))+~P107(f316(f54(x81272),x81271))+~P107(f316(f54(x81272),x81273))+~E(f316(f316(f91(f905(x81272,a895)),x81273),x81271),f178(f905(x81272,a895)))+E(f316(f316(f75(x81272),f316(f56(x81272,f75(x81272)),x81273)),f316(f56(x81272,f75(x81272)),x81271)),f316(f56(x81272,f75(x81272)),f316(f316(f100(f905(x81272,a895)),x81273),x81271)))
% 163.96/163.66 [7909]E(x79091,f2(a1))+E(f316(f316(f29(a1),x79092),x79091),x79093)+~P107(f316(f316(f224(a1),x79094),f2(a1)))+~E(x79092,f316(f316(f74(a1),f316(f316(f75(a1),x79091),x79093)),x79094))+~P107(f316(f316(f224(a1),f2(a1)),x79094))+~P107(f316(f316(f225(a1),x79094),x79091))+~P107(f316(f316(f225(a1),x79091),x79094))
% 163.96/163.66 [7917]E(f38(a1,x79172,x79171),x79173)+E(x79171,f2(a1))+~P107(f316(f316(f224(a1),x79173),f2(a1)))+~E(x79172,f316(f316(f74(a1),f316(f316(f75(a1),x79171),x79174)),x79173))+~P107(f316(f316(f224(a1),f2(a1)),x79173))+~P107(f316(f316(f225(a1),x79173),x79171))+~P107(f316(f316(f225(a1),x79171),x79173))
% 163.96/163.66 [6962]~P62(x69622)+E(x69621,f2(x69622))+E(x69623,f2(x69622))+~E(f316(f316(f29(x69622),x69624),x69623),f316(f316(f29(x69622),x69625),x69621))+E(f316(f316(f75(x69622),x69624),x69621),f316(f316(f75(x69622),x69623),x69625))+~P107(f316(f316(f276(x69622),x69621),x69625))+~P107(f316(f316(f276(x69622),x69623),x69624))
% 163.96/163.66 [6963]~P62(x69632)+E(x69631,f2(x69632))+E(x69633,f2(x69632))+~E(f316(f316(f75(x69632),x69634),x69633),f316(f316(f75(x69632),x69631),x69635))+E(f316(f316(f29(x69632),x69634),x69631),f316(f316(f29(x69632),x69635),x69633))+~P107(f316(f316(f276(x69632),x69631),x69634))+~P107(f316(f316(f276(x69632),x69633),x69635))
% 163.96/163.66 [7824]~P15(x78242,x78245,x78244)+E(x78241,f178(f905(x78242,a895)))+E(x78243,f178(f905(x78242,a895)))+~P107(f316(f54(x78242),x78241))+~P107(f316(f54(x78242),x78243))+~E(f316(f316(f91(f905(x78242,a895)),x78243),x78241),f178(f905(x78242,a895)))+E(f316(x78244,f316(f316(f100(f905(x78242,a895)),x78243),x78241)),f316(f316(x78245,f316(x78244,x78243)),f316(x78244,x78241)))
% 163.96/163.66 [9527]~P22(x95273,x95271,x95275,x95274)+~P22(x95271,x95273,x95276,x95272)+E(f316(f28(x95271),x95272),f316(f28(x95273),x95274))+~P107(f316(f54(x95273),x95274))+~P107(f316(f54(x95271),x95272))+~P107(f316(f316(f224(f905(x95273,a895)),f316(f299(x95271,x95273,x95276),x95272)),x95274))+~P107(f316(f316(f224(f905(x95271,a895)),f316(f299(x95273,x95271,x95275),x95274)),x95272))
% 163.96/163.66 [9471]~P107(f316(f316(f225(a1),f316(f316(f74(a1),f316(f316(f75(a1),x94715),x94711)),x94716)),f2(a1)))+~E(f316(f316(f74(a1),f316(f316(f75(a1),x94713),x94712)),x94714),f316(f316(f74(a1),f316(f316(f75(a1),x94715),x94711)),x94716))+~P107(f316(f316(f224(a1),f2(a1)),x94716))+~P107(f316(f316(f225(a1),f2(a1)),x94715))+~P107(f316(f316(f224(a1),x94715),x94713))+~P107(f316(f316(f225(a1),x94714),x94713))+P107(f316(f316(f224(a1),x94711),x94712))
% 163.96/163.66 [9232]~E(f316(f316(f74(a1),f316(f316(f75(a1),x92323),x92321)),x92324),f316(f316(f74(a1),f316(f316(f75(a1),x92325),x92322)),x92326))+~P107(f316(f316(f224(a1),f2(a1)),x92324))+~P107(f316(f316(f225(a1),f2(a1)),x92325))+~P107(f316(f316(f224(a1),x92325),x92323))+~P107(f316(f316(f225(a1),x92326),x92325))+P107(f316(f316(f224(a1),x92321),x92322))+~P107(f316(f316(f224(a1),f2(a1)),f316(f316(f74(a1),f316(f316(f75(a1),x92325),x92322)),x92326)))
% 163.96/163.66 [9411]~P134(x94111)+~E(f316(f316(f74(x94111),x94112),x94114),f72(x94111))+~P107(f316(f316(f224(x94111),x94115),x94116))+~P107(f316(f316(f224(x94111),x94113),x94116))+~P107(f316(f316(f224(x94111),f2(x94111)),x94114))+~P107(f316(f316(f224(x94111),f2(x94111)),x94112))+P107(f316(f316(f224(x94111),f316(f316(f74(x94111),f316(f316(f75(x94111),x94112),x94113)),f316(f316(f75(x94111),x94114),x94115))),x94116))
% 163.96/163.66 [9412]~P135(x94121)+~E(f316(f316(f74(x94121),x94122),x94124),f72(x94121))+~P107(f316(f316(f224(x94121),f2(x94121)),x94124))+~P107(f316(f316(f224(x94121),f2(x94121)),x94122))+~P107(f316(f316(f225(x94121),x94125),x94126))+~P107(f316(f316(f225(x94121),x94123),x94126))+P107(f316(f316(f225(x94121),f316(f316(f74(x94121),f316(f316(f75(x94121),x94122),x94123)),f316(f316(f75(x94121),x94124),x94125))),x94126))
% 163.96/163.66 [10250]~P5(x102507,x102506,x102505)+E(x102501,x102502)+~P8(x102507,f905(x102504,a895),x102505,x102503)+E(f316(x102503,f850(x102501,x102502,x102503,x102504,x102505,x102506,x102507)),f316(x102503,f851(x102501,x102502,x102503,x102504,x102505,x102506,x102507)))+~E(f316(f316(f33(x102507,f905(x102504,a895)),x102501),x102503),f316(f316(f33(x102507,f905(x102504,a895)),x102502),x102503))+~P107(f316(f316(f318(f905(x102507,a895)),x102502),f316(f316(f53(x102507),x102506),x102505)))+~P107(f316(f316(f318(f905(x102507,a895)),x102501),f316(f316(f53(x102507),x102506),x102505)))
% 163.96/163.66 [10302]~P5(x103023,x103027,x103026)+E(x103021,x103022)+~P8(x103023,f905(x103025,a895),x103026,x103024)+~E(f316(f316(f33(x103023,f905(x103025,a895)),x103021),x103024),f316(f316(f33(x103023,f905(x103025,a895)),x103022),x103024))+P107(f316(f316(f318(x103023),f851(x103021,x103022,x103024,x103025,x103026,x103027,x103023)),x103027))+~P107(f316(f316(f318(f905(x103023,a895)),x103022),f316(f316(f53(x103023),x103027),x103026)))+~P107(f316(f316(f318(f905(x103023,a895)),x103021),f316(f316(f53(x103023),x103027),x103026)))
% 163.96/163.66 [10303]~P5(x103033,x103037,x103036)+E(x103031,x103032)+~P8(x103033,f905(x103035,a895),x103036,x103034)+~E(f316(f316(f33(x103033,f905(x103035,a895)),x103031),x103034),f316(f316(f33(x103033,f905(x103035,a895)),x103032),x103034))+P107(f316(f316(f318(x103033),f850(x103031,x103032,x103034,x103035,x103036,x103037,x103033)),x103037))+~P107(f316(f316(f318(f905(x103033,a895)),x103032),f316(f316(f53(x103033),x103037),x103036)))+~P107(f316(f316(f318(f905(x103033,a895)),x103031),f316(f316(f53(x103033),x103037),x103036)))
% 163.96/163.66 [10381]E(x103811,x103812)+~P5(x103813,x103816,x103817)+~P8(x103813,f905(x103814,a895),x103817,x103815)+~E(f316(f316(f33(x103813,f905(x103814,a895)),x103811),x103815),f316(f316(f33(x103813,f905(x103814,a895)),x103812),x103815))+~P107(f316(f316(f318(f904(x103813,x103813)),f316(f316(f241(x103813,x103813),f851(x103811,x103812,x103815,x103814,x103817,x103816,x103813)),f850(x103811,x103812,x103815,x103814,x103817,x103816,x103813))),x103817))+~P107(f316(f316(f318(f905(x103813,a895)),x103812),f316(f316(f53(x103813),x103816),x103817)))+~P107(f316(f316(f318(f905(x103813,a895)),x103811),f316(f316(f53(x103813),x103816),x103817)))
% 163.96/163.66 [9231]~P5(x92311,x92317,x92314)+~E(x92315,x92316)+~P107(f316(f316(f318(x92311),x92313),x92316))+~P107(f316(f316(f318(x92311),x92312),x92315))+~P107(f316(f316(f318(f905(x92311,a895)),x92316),f316(f316(f53(x92311),x92317),x92314)))+~P107(f316(f316(f318(f905(x92311,a895)),x92315),f316(f316(f53(x92311),x92317),x92314)))+P107(f316(f316(f318(f904(x92311,x92311)),f316(f316(f241(x92311,x92311),x92312),x92313)),x92314))
% 163.96/163.66 [9368]E(x93681,x93682)+~P5(x93683,x93684,x93685)+~P107(f316(f316(f318(x93683),x93686),x93682))+~P107(f316(f316(f318(x93683),x93687),x93681))+~P107(f316(f316(f318(f905(x93683,a895)),x93682),f316(f316(f53(x93683),x93684),x93685)))+~P107(f316(f316(f318(f905(x93683,a895)),x93681),f316(f316(f53(x93683),x93684),x93685)))+~P107(f316(f316(f318(f904(x93683,x93683)),f316(f316(f241(x93683,x93683),x93687),x93686)),x93685))
% 163.96/163.66 [10408]~P5(x104089,x104088,x104087)+~P5(x104081,x1040811,x1040810)+~P9(x104081,x104089,f905(x104086,a895),x1040810,x104087,x104085)+P107(f316(f316(f318(x104081),f864(x104082,x104083,x104084,x104085,x104086,x104087,x104088,x104089,x1040810,x1040811,x104081)),x1040811))+~P107(f316(f316(f318(f905(x104089,a895)),x104083),f316(f316(f53(x104089),x104088),x104087)))+~P107(f316(f316(f318(f905(x104081,a895)),x104084),f316(f316(f53(x104081),x1040811),x1040810)))+P107(f316(f316(f318(f905(x104086,a895)),f316(f316(f33(x104081,f905(x104086,a895)),x104084),f316(f316(f8(f905(x104089,f905(x104086,a895)),f905(x104086,a895),x104081),f316(f33(x104089,f905(x104086,a895)),x104083)),x104085))),x104082))
% 163.96/163.66 [10409]~P5(x1040911,x1040910,x104099)+~P5(x104091,x104098,x104097)+~P9(x1040911,x104091,f905(x104096,a895),x104099,x104097,x104095)+P107(f316(f316(f318(x104091),f865(x104092,x104093,x104094,x104095,x104096,x104097,x104098,x104091,x104099,x1040910,x1040911)),x104098))+~P107(f316(f316(f318(f905(x1040911,a895)),x104094),f316(f316(f53(x1040911),x1040910),x104099)))+~P107(f316(f316(f318(f905(x104091,a895)),x104093),f316(f316(f53(x104091),x104098),x104097)))+P107(f316(f316(f318(f905(x104096,a895)),f316(f316(f33(x1040911,f905(x104096,a895)),x104094),f316(f316(f8(f905(x104091,f905(x104096,a895)),f905(x104096,a895),x1040911),f316(f33(x104091,f905(x104096,a895)),x104093)),x104095))),x104092))
% 163.96/163.66 [10410]~P5(x104102,x104108,x104109)+~P5(x104104,x1041010,x1041011)+~P9(x104102,x104104,f905(x104101,a895),x104109,x1041011,x104106)+~P107(f316(f316(f318(f905(x104102,a895)),x104103),f316(f316(f53(x104102),x104108),x104109)))+~P107(f316(f316(f318(f905(x104104,a895)),x104105),f316(f316(f53(x104104),x1041010),x1041011)))+~P107(f316(f316(f318(f905(x104101,a895)),f316(f316(x104106,f864(x104107,x104105,x104103,x104106,x104101,x1041011,x1041010,x104104,x104109,x104108,x104102)),f865(x104107,x104105,x104103,x104106,x104101,x1041011,x1041010,x104104,x104109,x104108,x104102))),x104107))+P107(f316(f316(f318(f905(x104101,a895)),f316(f316(f33(x104102,f905(x104101,a895)),x104103),f316(f316(f8(f905(x104104,f905(x104101,a895)),f905(x104101,a895),x104102),f316(f33(x104104,f905(x104101,a895)),x104105)),x104106))),x104107))
% 163.96/163.66 [9267]E(x92671,x92672)+~P108(x92674)+~P22(x92673,x92674,x92675,f316(f316(f100(f905(x92673,a895)),f316(f162(x92673),x92671)),f316(f162(x92673),x92672)))+~E(f316(f162(x92673),x92671),f316(f162(x92673),x92672))+~P10(x92674,f316(f316(f144(x92673,x92674),x92675),x92672))+~P10(x92674,f316(f316(f144(x92673,x92674),x92675),x92671))+~P107(f316(f127(x92674),f316(f316(f144(x92673,x92674),x92675),x92672)))+~P107(f316(f127(x92674),f316(f316(f144(x92673,x92674),x92675),x92671)))
% 163.96/163.66 %EqnAxiom
% 163.96/163.66 [1]E(x11,x11)
% 163.96/163.66 [2]E(x22,x21)+~E(x21,x22)
% 163.96/163.66 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 163.96/163.66 [4]~E(x41,x42)+E(f2(x41),f2(x42))
% 163.96/163.66 [5]~E(x51,x52)+E(f90(x51),f90(x52))
% 163.96/163.66 [6]~E(x61,x62)+E(f23(x61),f23(x62))
% 163.96/163.66 [7]~E(x71,x72)+E(f178(x71),f178(x72))
% 163.96/163.66 [8]~E(x81,x82)+E(f316(x81,x83),f316(x82,x83))
% 163.96/163.66 [9]~E(x91,x92)+E(f316(x93,x91),f316(x93,x92))
% 163.96/163.66 [10]~E(x101,x102)+E(f91(x101),f91(x102))
% 163.96/163.66 [11]~E(x111,x112)+E(f222(x111),f222(x112))
% 163.96/163.66 [12]~E(x121,x122)+E(f100(x121),f100(x122))
% 163.96/163.66 [13]~E(x131,x132)+E(f223(x131),f223(x132))
% 163.96/163.66 [14]~E(x141,x142)+E(f92(x141),f92(x142))
% 163.96/163.66 [15]~E(x151,x152)+E(f25(x151),f25(x152))
% 163.96/163.66 [16]~E(x161,x162)+E(f78(x161),f78(x162))
% 163.96/163.66 [17]~E(x171,x172)+E(f905(x171,x173),f905(x172,x173))
% 163.96/163.66 [18]~E(x181,x182)+E(f905(x183,x181),f905(x183,x182))
% 163.96/163.66 [19]~E(x191,x192)+E(f224(x191),f224(x192))
% 163.96/163.66 [20]~E(x201,x202)+E(f8(x201,x203,x204),f8(x202,x203,x204))
% 163.96/163.66 [21]~E(x211,x212)+E(f8(x213,x211,x214),f8(x213,x212,x214))
% 163.96/163.66 [22]~E(x221,x222)+E(f8(x223,x224,x221),f8(x223,x224,x222))
% 163.96/163.66 [23]~E(x231,x232)+E(f72(x231),f72(x232))
% 163.96/163.66 [24]~E(x241,x242)+E(f865(x241,x243,x244,x245,x246,x247,x248,x249,x2410,x2411,x2412),f865(x242,x243,x244,x245,x246,x247,x248,x249,x2410,x2411,x2412))
% 163.96/163.66 [25]~E(x251,x252)+E(f865(x253,x251,x254,x255,x256,x257,x258,x259,x2510,x2511,x2512),f865(x253,x252,x254,x255,x256,x257,x258,x259,x2510,x2511,x2512))
% 163.96/163.66 [26]~E(x261,x262)+E(f865(x263,x264,x261,x265,x266,x267,x268,x269,x2610,x2611,x2612),f865(x263,x264,x262,x265,x266,x267,x268,x269,x2610,x2611,x2612))
% 163.96/163.66 [27]~E(x271,x272)+E(f865(x273,x274,x275,x271,x276,x277,x278,x279,x2710,x2711,x2712),f865(x273,x274,x275,x272,x276,x277,x278,x279,x2710,x2711,x2712))
% 163.96/163.66 [28]~E(x281,x282)+E(f865(x283,x284,x285,x286,x281,x287,x288,x289,x2810,x2811,x2812),f865(x283,x284,x285,x286,x282,x287,x288,x289,x2810,x2811,x2812))
% 163.96/163.66 [29]~E(x291,x292)+E(f865(x293,x294,x295,x296,x297,x291,x298,x299,x2910,x2911,x2912),f865(x293,x294,x295,x296,x297,x292,x298,x299,x2910,x2911,x2912))
% 163.96/163.66 [30]~E(x301,x302)+E(f865(x303,x304,x305,x306,x307,x308,x301,x309,x3010,x3011,x3012),f865(x303,x304,x305,x306,x307,x308,x302,x309,x3010,x3011,x3012))
% 163.96/163.66 [31]~E(x311,x312)+E(f865(x313,x314,x315,x316,x317,x318,x319,x311,x3110,x3111,x3112),f865(x313,x314,x315,x316,x317,x318,x319,x312,x3110,x3111,x3112))
% 163.96/163.66 [32]~E(x321,x322)+E(f865(x323,x324,x325,x326,x327,x328,x329,x3210,x321,x3211,x3212),f865(x323,x324,x325,x326,x327,x328,x329,x3210,x322,x3211,x3212))
% 163.96/163.66 [33]~E(x331,x332)+E(f865(x333,x334,x335,x336,x337,x338,x339,x3310,x3311,x331,x3312),f865(x333,x334,x335,x336,x337,x338,x339,x3310,x3311,x332,x3312))
% 163.96/163.66 [34]~E(x341,x342)+E(f865(x343,x344,x345,x346,x347,x348,x349,x3410,x3411,x3412,x341),f865(x343,x344,x345,x346,x347,x348,x349,x3410,x3411,x3412,x342))
% 163.96/163.66 [35]~E(x351,x352)+E(f899(x351),f899(x352))
% 163.96/163.66 [36]~E(x361,x362)+E(f101(x361),f101(x362))
% 163.96/163.66 [37]~E(x371,x372)+E(f864(x371,x373,x374,x375,x376,x377,x378,x379,x3710,x3711,x3712),f864(x372,x373,x374,x375,x376,x377,x378,x379,x3710,x3711,x3712))
% 163.96/163.66 [38]~E(x381,x382)+E(f864(x383,x381,x384,x385,x386,x387,x388,x389,x3810,x3811,x3812),f864(x383,x382,x384,x385,x386,x387,x388,x389,x3810,x3811,x3812))
% 163.96/163.66 [39]~E(x391,x392)+E(f864(x393,x394,x391,x395,x396,x397,x398,x399,x3910,x3911,x3912),f864(x393,x394,x392,x395,x396,x397,x398,x399,x3910,x3911,x3912))
% 163.96/163.66 [40]~E(x401,x402)+E(f864(x403,x404,x405,x401,x406,x407,x408,x409,x4010,x4011,x4012),f864(x403,x404,x405,x402,x406,x407,x408,x409,x4010,x4011,x4012))
% 163.96/163.66 [41]~E(x411,x412)+E(f864(x413,x414,x415,x416,x411,x417,x418,x419,x4110,x4111,x4112),f864(x413,x414,x415,x416,x412,x417,x418,x419,x4110,x4111,x4112))
% 163.96/163.66 [42]~E(x421,x422)+E(f864(x423,x424,x425,x426,x427,x421,x428,x429,x4210,x4211,x4212),f864(x423,x424,x425,x426,x427,x422,x428,x429,x4210,x4211,x4212))
% 163.96/163.66 [43]~E(x431,x432)+E(f864(x433,x434,x435,x436,x437,x438,x431,x439,x4310,x4311,x4312),f864(x433,x434,x435,x436,x437,x438,x432,x439,x4310,x4311,x4312))
% 163.96/163.66 [44]~E(x441,x442)+E(f864(x443,x444,x445,x446,x447,x448,x449,x441,x4410,x4411,x4412),f864(x443,x444,x445,x446,x447,x448,x449,x442,x4410,x4411,x4412))
% 163.96/163.66 [45]~E(x451,x452)+E(f864(x453,x454,x455,x456,x457,x458,x459,x4510,x451,x4511,x4512),f864(x453,x454,x455,x456,x457,x458,x459,x4510,x452,x4511,x4512))
% 163.96/163.66 [46]~E(x461,x462)+E(f864(x463,x464,x465,x466,x467,x468,x469,x4610,x4611,x461,x4612),f864(x463,x464,x465,x466,x467,x468,x469,x4610,x4611,x462,x4612))
% 163.96/163.66 [47]~E(x471,x472)+E(f864(x473,x474,x475,x476,x477,x478,x479,x4710,x4711,x4712,x471),f864(x473,x474,x475,x476,x477,x478,x479,x4710,x4711,x4712,x472))
% 163.96/163.66 [48]~E(x481,x482)+E(f318(x481),f318(x482))
% 163.96/163.66 [49]~E(x491,x492)+E(f4(x491),f4(x492))
% 163.96/163.66 [50]~E(x501,x502)+E(f31(x501,x503),f31(x502,x503))
% 163.96/163.66 [51]~E(x511,x512)+E(f31(x513,x511),f31(x513,x512))
% 163.96/163.66 [52]~E(x521,x522)+E(f897(x521),f897(x522))
% 163.96/163.66 [53]~E(x531,x532)+E(f902(x531),f902(x532))
% 163.96/163.66 [54]~E(x541,x542)+E(f132(x541,x543,x544,x545),f132(x542,x543,x544,x545))
% 163.96/163.66 [55]~E(x551,x552)+E(f132(x553,x551,x554,x555),f132(x553,x552,x554,x555))
% 163.96/163.66 [56]~E(x561,x562)+E(f132(x563,x564,x561,x565),f132(x563,x564,x562,x565))
% 163.96/163.66 [57]~E(x571,x572)+E(f132(x573,x574,x575,x571),f132(x573,x574,x575,x572))
% 163.96/163.66 [58]~E(x581,x582)+E(f900(x581),f900(x582))
% 163.96/163.66 [59]~E(x591,x592)+E(f73(x591),f73(x592))
% 163.96/163.66 [60]~E(x601,x602)+E(f291(x601,x603),f291(x602,x603))
% 163.96/163.66 [61]~E(x611,x612)+E(f291(x613,x611),f291(x613,x612))
% 163.96/163.66 [62]~E(x621,x622)+E(f179(x621),f179(x622))
% 163.96/163.66 [63]~E(x631,x632)+E(f7(x631,x633,x634),f7(x632,x633,x634))
% 163.96/163.66 [64]~E(x641,x642)+E(f7(x643,x641,x644),f7(x643,x642,x644))
% 163.96/163.66 [65]~E(x651,x652)+E(f7(x653,x654,x651),f7(x653,x654,x652))
% 163.96/163.66 [66]~E(x661,x662)+E(f93(x661),f93(x662))
% 163.96/163.66 [67]~E(x671,x672)+E(f295(x671,x673,x674),f295(x672,x673,x674))
% 163.96/163.66 [68]~E(x681,x682)+E(f295(x683,x681,x684),f295(x683,x682,x684))
% 163.96/163.66 [69]~E(x691,x692)+E(f295(x693,x694,x691),f295(x693,x694,x692))
% 163.96/163.66 [70]~E(x701,x702)+E(f75(x701),f75(x702))
% 163.96/163.66 [71]~E(x711,x712)+E(f280(x711),f280(x712))
% 163.96/163.66 [72]~E(x721,x722)+E(f225(x721),f225(x722))
% 163.96/163.66 [73]~E(x731,x732)+E(f723(x731,x733),f723(x732,x733))
% 163.96/163.66 [74]~E(x741,x742)+E(f723(x743,x741),f723(x743,x742))
% 163.96/163.66 [75]~E(x751,x752)+E(f844(x751,x753,x754),f844(x752,x753,x754))
% 163.96/163.66 [76]~E(x761,x762)+E(f844(x763,x761,x764),f844(x763,x762,x764))
% 163.96/163.66 [77]~E(x771,x772)+E(f844(x773,x774,x771),f844(x773,x774,x772))
% 163.96/163.66 [78]~E(x781,x782)+E(f54(x781),f54(x782))
% 163.96/163.66 [79]~E(x791,x792)+E(f14(x791,x793),f14(x792,x793))
% 163.96/163.66 [80]~E(x801,x802)+E(f14(x803,x801),f14(x803,x802))
% 163.96/163.66 [81]~E(x811,x812)+E(f886(x811,x813),f886(x812,x813))
% 163.96/163.66 [82]~E(x821,x822)+E(f886(x823,x821),f886(x823,x822))
% 163.96/163.66 [83]~E(x831,x832)+E(f724(x831,x833),f724(x832,x833))
% 163.96/163.66 [84]~E(x841,x842)+E(f724(x843,x841),f724(x843,x842))
% 163.96/163.66 [85]~E(x851,x852)+E(f155(x851),f155(x852))
% 163.96/163.66 [86]~E(x861,x862)+E(f292(x861,x863,x864),f292(x862,x863,x864))
% 163.96/163.66 [87]~E(x871,x872)+E(f292(x873,x871,x874),f292(x873,x872,x874))
% 163.96/163.66 [88]~E(x881,x882)+E(f292(x883,x884,x881),f292(x883,x884,x882))
% 163.96/163.66 [89]~E(x891,x892)+E(f18(x891,x893,x894),f18(x892,x893,x894))
% 163.96/163.66 [90]~E(x901,x902)+E(f18(x903,x901,x904),f18(x903,x902,x904))
% 163.96/163.66 [91]~E(x911,x912)+E(f18(x913,x914,x911),f18(x913,x914,x912))
% 163.96/163.66 [92]~E(x921,x922)+E(f53(x921),f53(x922))
% 163.96/163.66 [93]~E(x931,x932)+E(f305(x931,x933),f305(x932,x933))
% 163.96/163.66 [94]~E(x941,x942)+E(f305(x943,x941),f305(x943,x942))
% 163.96/163.66 [95]~E(x951,x952)+E(f251(x951),f251(x952))
% 163.96/163.66 [96]~E(x961,x962)+E(f74(x961),f74(x962))
% 163.96/163.66 [97]~E(x971,x972)+E(f904(x971,x973),f904(x972,x973))
% 163.96/163.66 [98]~E(x981,x982)+E(f904(x983,x981),f904(x983,x982))
% 163.96/163.66 [99]~E(x991,x992)+E(f144(x991,x993),f144(x992,x993))
% 163.96/163.66 [100]~E(x1001,x1002)+E(f144(x1003,x1001),f144(x1003,x1002))
% 163.96/163.66 [101]~E(x1011,x1012)+E(f276(x1011),f276(x1012))
% 163.96/163.66 [102]~E(x1021,x1022)+E(f299(x1021,x1023,x1024),f299(x1022,x1023,x1024))
% 163.96/163.66 [103]~E(x1031,x1032)+E(f299(x1033,x1031,x1034),f299(x1033,x1032,x1034))
% 163.96/163.66 [104]~E(x1041,x1042)+E(f299(x1043,x1044,x1041),f299(x1043,x1044,x1042))
% 163.96/163.66 [105]~E(x1051,x1052)+E(f246(x1051,x1053,x1054),f246(x1052,x1053,x1054))
% 163.96/163.66 [106]~E(x1061,x1062)+E(f246(x1063,x1061,x1064),f246(x1063,x1062,x1064))
% 163.96/163.66 [107]~E(x1071,x1072)+E(f246(x1073,x1074,x1071),f246(x1073,x1074,x1072))
% 163.96/163.66 [108]~E(x1081,x1082)+E(f778(x1081,x1083,x1084,x1085),f778(x1082,x1083,x1084,x1085))
% 163.96/163.66 [109]~E(x1091,x1092)+E(f778(x1093,x1091,x1094,x1095),f778(x1093,x1092,x1094,x1095))
% 163.96/163.66 [110]~E(x1101,x1102)+E(f778(x1103,x1104,x1101,x1105),f778(x1103,x1104,x1102,x1105))
% 163.96/163.66 [111]~E(x1111,x1112)+E(f778(x1113,x1114,x1115,x1111),f778(x1113,x1114,x1115,x1112))
% 163.96/163.66 [112]~E(x1121,x1122)+E(f127(x1121),f127(x1122))
% 163.96/163.66 [113]~E(x1131,x1132)+E(f565(x1131,x1133,x1134),f565(x1132,x1133,x1134))
% 163.96/163.66 [114]~E(x1141,x1142)+E(f565(x1143,x1141,x1144),f565(x1143,x1142,x1144))
% 163.96/163.66 [115]~E(x1151,x1152)+E(f565(x1153,x1154,x1151),f565(x1153,x1154,x1152))
% 163.96/163.66 [116]~E(x1161,x1162)+E(f128(x1161),f128(x1162))
% 163.96/163.66 [117]~E(x1171,x1172)+E(f233(x1171),f233(x1172))
% 163.96/163.66 [118]~E(x1181,x1182)+E(f66(x1181,x1183,x1184,x1185),f66(x1182,x1183,x1184,x1185))
% 163.96/163.66 [119]~E(x1191,x1192)+E(f66(x1193,x1191,x1194,x1195),f66(x1193,x1192,x1194,x1195))
% 163.96/163.66 [120]~E(x1201,x1202)+E(f66(x1203,x1204,x1201,x1205),f66(x1203,x1204,x1202,x1205))
% 163.96/163.66 [121]~E(x1211,x1212)+E(f66(x1213,x1214,x1215,x1211),f66(x1213,x1214,x1215,x1212))
% 163.96/163.66 [122]~E(x1221,x1222)+E(f162(x1221),f162(x1222))
% 163.96/163.66 [123]~E(x1231,x1232)+E(f241(x1231,x1233),f241(x1232,x1233))
% 163.96/163.66 [124]~E(x1241,x1242)+E(f241(x1243,x1241),f241(x1243,x1242))
% 163.96/163.66 [125]~E(x1251,x1252)+E(f634(x1251,x1253),f634(x1252,x1253))
% 163.96/163.66 [126]~E(x1261,x1262)+E(f634(x1263,x1261),f634(x1263,x1262))
% 163.96/163.66 [127]~E(x1271,x1272)+E(f30(x1271,x1273),f30(x1272,x1273))
% 163.96/163.66 [128]~E(x1281,x1282)+E(f30(x1283,x1281),f30(x1283,x1282))
% 163.96/163.66 [129]~E(x1291,x1292)+E(f293(x1291),f293(x1292))
% 163.96/163.66 [130]~E(x1301,x1302)+E(f298(x1301),f298(x1302))
% 163.96/163.66 [131]~E(x1311,x1312)+E(f165(x1311),f165(x1312))
% 163.96/163.66 [132]~E(x1321,x1322)+E(f240(x1321,x1323),f240(x1322,x1323))
% 163.96/163.66 [133]~E(x1331,x1332)+E(f240(x1333,x1331),f240(x1333,x1332))
% 163.96/163.66 [134]~E(x1341,x1342)+E(f38(x1341,x1343,x1344),f38(x1342,x1343,x1344))
% 163.96/163.66 [135]~E(x1351,x1352)+E(f38(x1353,x1351,x1354),f38(x1353,x1352,x1354))
% 163.96/163.66 [136]~E(x1361,x1362)+E(f38(x1363,x1364,x1361),f38(x1363,x1364,x1362))
% 163.96/163.66 [137]~E(x1371,x1372)+E(f95(x1371),f95(x1372))
% 163.96/163.66 [138]~E(x1381,x1382)+E(f96(x1381),f96(x1382))
% 163.96/163.66 [139]~E(x1391,x1392)+E(f317(x1391),f317(x1392))
% 163.96/163.66 [140]~E(x1401,x1402)+E(f253(x1401,x1403),f253(x1402,x1403))
% 163.96/163.66 [141]~E(x1411,x1412)+E(f253(x1413,x1411),f253(x1413,x1412))
% 163.96/163.66 [142]~E(x1421,x1422)+E(f569(x1421),f569(x1422))
% 163.96/163.66 [143]~E(x1431,x1432)+E(f33(x1431,x1433),f33(x1432,x1433))
% 163.96/163.66 [144]~E(x1441,x1442)+E(f33(x1443,x1441),f33(x1443,x1442))
% 163.96/163.66 [145]~E(x1451,x1452)+E(f575(x1451,x1453),f575(x1452,x1453))
% 163.96/163.66 [146]~E(x1461,x1462)+E(f575(x1463,x1461),f575(x1463,x1462))
% 163.96/163.66 [147]~E(x1471,x1472)+E(f230(x1471,x1473),f230(x1472,x1473))
% 163.96/163.66 [148]~E(x1481,x1482)+E(f230(x1483,x1481),f230(x1483,x1482))
% 163.96/163.66 [149]~E(x1491,x1492)+E(f135(x1491,x1493),f135(x1492,x1493))
% 163.96/163.66 [150]~E(x1501,x1502)+E(f135(x1503,x1501),f135(x1503,x1502))
% 163.96/163.66 [151]~E(x1511,x1512)+E(f154(x1511),f154(x1512))
% 163.96/163.66 [152]~E(x1521,x1522)+E(f192(x1521,x1523),f192(x1522,x1523))
% 163.96/163.66 [153]~E(x1531,x1532)+E(f192(x1533,x1531),f192(x1533,x1532))
% 163.96/163.66 [154]~E(x1541,x1542)+E(f243(x1541,x1543),f243(x1542,x1543))
% 163.96/163.66 [155]~E(x1551,x1552)+E(f243(x1553,x1551),f243(x1553,x1552))
% 163.96/163.66 [156]~E(x1561,x1562)+E(f5(x1561),f5(x1562))
% 163.96/163.66 [157]~E(x1571,x1572)+E(f141(x1571),f141(x1572))
% 163.96/163.66 [158]~E(x1581,x1582)+E(f279(x1581,x1583,x1584,x1585),f279(x1582,x1583,x1584,x1585))
% 163.96/163.66 [159]~E(x1591,x1592)+E(f279(x1593,x1591,x1594,x1595),f279(x1593,x1592,x1594,x1595))
% 163.96/163.66 [160]~E(x1601,x1602)+E(f279(x1603,x1604,x1601,x1605),f279(x1603,x1604,x1602,x1605))
% 163.96/163.66 [161]~E(x1611,x1612)+E(f279(x1613,x1614,x1615,x1611),f279(x1613,x1614,x1615,x1612))
% 163.96/163.66 [162]~E(x1621,x1622)+E(f57(x1621,x1623,x1624),f57(x1622,x1623,x1624))
% 163.96/163.66 [163]~E(x1631,x1632)+E(f57(x1633,x1631,x1634),f57(x1633,x1632,x1634))
% 163.96/163.66 [164]~E(x1641,x1642)+E(f57(x1643,x1644,x1641),f57(x1643,x1644,x1642))
% 163.96/163.66 [165]~E(x1651,x1652)+E(f13(x1651,x1653),f13(x1652,x1653))
% 163.96/163.66 [166]~E(x1661,x1662)+E(f13(x1663,x1661),f13(x1663,x1662))
% 163.96/163.66 [167]~E(x1671,x1672)+E(f104(x1671,x1673),f104(x1672,x1673))
% 163.96/163.66 [168]~E(x1681,x1682)+E(f104(x1683,x1681),f104(x1683,x1682))
% 163.96/163.66 [169]~E(x1691,x1692)+E(f231(x1691),f231(x1692))
% 163.96/163.66 [170]~E(x1701,x1702)+E(f28(x1701),f28(x1702))
% 163.96/163.66 [171]~E(x1711,x1712)+E(f801(x1711),f801(x1712))
% 163.96/163.66 [172]~E(x1721,x1722)+E(f173(x1721,x1723),f173(x1722,x1723))
% 163.96/163.66 [173]~E(x1731,x1732)+E(f173(x1733,x1731),f173(x1733,x1732))
% 163.96/163.66 [174]~E(x1741,x1742)+E(f245(x1741,x1743),f245(x1742,x1743))
% 163.96/163.66 [175]~E(x1751,x1752)+E(f245(x1753,x1751),f245(x1753,x1752))
% 163.96/163.66 [176]~E(x1761,x1762)+E(f459(x1761,x1763,x1764),f459(x1762,x1763,x1764))
% 163.96/163.66 [177]~E(x1771,x1772)+E(f459(x1773,x1771,x1774),f459(x1773,x1772,x1774))
% 163.96/163.66 [178]~E(x1781,x1782)+E(f459(x1783,x1784,x1781),f459(x1783,x1784,x1782))
% 163.96/163.66 [179]~E(x1791,x1792)+E(f6(x1791,x1793),f6(x1792,x1793))
% 163.96/163.66 [180]~E(x1801,x1802)+E(f6(x1803,x1801),f6(x1803,x1802))
% 163.96/163.66 [181]~E(x1811,x1812)+E(f498(x1811,x1813,x1814,x1815),f498(x1812,x1813,x1814,x1815))
% 163.96/163.66 [182]~E(x1821,x1822)+E(f498(x1823,x1821,x1824,x1825),f498(x1823,x1822,x1824,x1825))
% 163.96/163.66 [183]~E(x1831,x1832)+E(f498(x1833,x1834,x1831,x1835),f498(x1833,x1834,x1832,x1835))
% 163.96/163.66 [184]~E(x1841,x1842)+E(f498(x1843,x1844,x1845,x1841),f498(x1843,x1844,x1845,x1842))
% 163.96/163.66 [185]~E(x1851,x1852)+E(f271(x1851),f271(x1852))
% 163.96/163.66 [186]~E(x1861,x1862)+E(f296(x1861,x1863),f296(x1862,x1863))
% 163.96/163.66 [187]~E(x1871,x1872)+E(f296(x1873,x1871),f296(x1873,x1872))
% 163.96/163.66 [188]~E(x1881,x1882)+E(f465(x1881,x1883,x1884),f465(x1882,x1883,x1884))
% 163.96/163.66 [189]~E(x1891,x1892)+E(f465(x1893,x1891,x1894),f465(x1893,x1892,x1894))
% 163.96/163.66 [190]~E(x1901,x1902)+E(f465(x1903,x1904,x1901),f465(x1903,x1904,x1902))
% 163.96/163.66 [191]~E(x1911,x1912)+E(f10(x1911,x1913),f10(x1912,x1913))
% 163.96/163.66 [192]~E(x1921,x1922)+E(f10(x1923,x1921),f10(x1923,x1922))
% 163.96/163.66 [193]~E(x1931,x1932)+E(f273(x1931,x1933),f273(x1932,x1933))
% 163.96/163.66 [194]~E(x1941,x1942)+E(f273(x1943,x1941),f273(x1943,x1942))
% 163.96/163.66 [195]~E(x1951,x1952)+E(f302(x1951,x1953,x1954,x1955),f302(x1952,x1953,x1954,x1955))
% 163.96/163.66 [196]~E(x1961,x1962)+E(f302(x1963,x1961,x1964,x1965),f302(x1963,x1962,x1964,x1965))
% 163.96/163.66 [197]~E(x1971,x1972)+E(f302(x1973,x1974,x1971,x1975),f302(x1973,x1974,x1972,x1975))
% 163.96/163.66 [198]~E(x1981,x1982)+E(f302(x1983,x1984,x1985,x1981),f302(x1983,x1984,x1985,x1982))
% 163.96/163.66 [199]~E(x1991,x1992)+E(f124(x1991),f124(x1992))
% 163.96/163.66 [200]~E(x2001,x2002)+E(f137(x2001,x2003),f137(x2002,x2003))
% 163.96/163.66 [201]~E(x2011,x2012)+E(f137(x2013,x2011),f137(x2013,x2012))
% 163.96/163.66 [202]~E(x2021,x2022)+E(f29(x2021),f29(x2022))
% 163.96/163.66 [203]~E(x2031,x2032)+E(f16(x2031,x2033),f16(x2032,x2033))
% 163.96/163.66 [204]~E(x2041,x2042)+E(f16(x2043,x2041),f16(x2043,x2042))
% 163.96/163.66 [205]~E(x2051,x2052)+E(f777(x2051,x2053,x2054,x2055),f777(x2052,x2053,x2054,x2055))
% 163.96/163.66 [206]~E(x2061,x2062)+E(f777(x2063,x2061,x2064,x2065),f777(x2063,x2062,x2064,x2065))
% 163.96/163.66 [207]~E(x2071,x2072)+E(f777(x2073,x2074,x2071,x2075),f777(x2073,x2074,x2072,x2075))
% 163.96/163.66 [208]~E(x2081,x2082)+E(f777(x2083,x2084,x2085,x2081),f777(x2083,x2084,x2085,x2082))
% 163.96/163.66 [209]~E(x2091,x2092)+E(f103(x2091),f103(x2092))
% 163.96/163.66 [210]~E(x2101,x2102)+E(f278(x2101,x2103,x2104),f278(x2102,x2103,x2104))
% 163.96/163.66 [211]~E(x2111,x2112)+E(f278(x2113,x2111,x2114),f278(x2113,x2112,x2114))
% 163.96/163.66 [212]~E(x2121,x2122)+E(f278(x2123,x2124,x2121),f278(x2123,x2124,x2122))
% 163.96/163.66 [213]~E(x2131,x2132)+E(f9(x2131,x2133),f9(x2132,x2133))
% 163.96/163.66 [214]~E(x2141,x2142)+E(f9(x2143,x2141),f9(x2143,x2142))
% 163.96/163.66 [215]~E(x2151,x2152)+E(f514(x2151,x2153),f514(x2152,x2153))
% 163.96/163.66 [216]~E(x2161,x2162)+E(f514(x2163,x2161),f514(x2163,x2162))
% 163.96/163.66 [217]~E(x2171,x2172)+E(f687(x2171,x2173,x2174,x2175,x2176),f687(x2172,x2173,x2174,x2175,x2176))
% 163.96/163.66 [218]~E(x2181,x2182)+E(f687(x2183,x2181,x2184,x2185,x2186),f687(x2183,x2182,x2184,x2185,x2186))
% 163.96/163.66 [219]~E(x2191,x2192)+E(f687(x2193,x2194,x2191,x2195,x2196),f687(x2193,x2194,x2192,x2195,x2196))
% 163.96/163.66 [220]~E(x2201,x2202)+E(f687(x2203,x2204,x2205,x2201,x2206),f687(x2203,x2204,x2205,x2202,x2206))
% 163.96/163.66 [221]~E(x2211,x2212)+E(f687(x2213,x2214,x2215,x2216,x2211),f687(x2213,x2214,x2215,x2216,x2212))
% 163.96/163.66 [222]~E(x2221,x2222)+E(f171(x2221,x2223),f171(x2222,x2223))
% 163.96/163.66 [223]~E(x2231,x2232)+E(f171(x2233,x2231),f171(x2233,x2232))
% 163.96/163.66 [224]~E(x2241,x2242)+E(f32(x2241,x2243),f32(x2242,x2243))
% 163.96/163.66 [225]~E(x2251,x2252)+E(f32(x2253,x2251),f32(x2253,x2252))
% 163.96/163.66 [226]~E(x2261,x2262)+E(f383(x2261,x2263,x2264),f383(x2262,x2263,x2264))
% 163.96/163.66 [227]~E(x2271,x2272)+E(f383(x2273,x2271,x2274),f383(x2273,x2272,x2274))
% 163.96/163.66 [228]~E(x2281,x2282)+E(f383(x2283,x2284,x2281),f383(x2283,x2284,x2282))
% 163.96/163.66 [229]~E(x2291,x2292)+E(f232(x2291,x2293,x2294),f232(x2292,x2293,x2294))
% 163.96/163.66 [230]~E(x2301,x2302)+E(f232(x2303,x2301,x2304),f232(x2303,x2302,x2304))
% 163.96/163.66 [231]~E(x2311,x2312)+E(f232(x2313,x2314,x2311),f232(x2313,x2314,x2312))
% 163.96/163.66 [232]~E(x2321,x2322)+E(f353(x2321,x2323,x2324,x2325),f353(x2322,x2323,x2324,x2325))
% 163.96/163.66 [233]~E(x2331,x2332)+E(f353(x2333,x2331,x2334,x2335),f353(x2333,x2332,x2334,x2335))
% 163.96/163.66 [234]~E(x2341,x2342)+E(f353(x2343,x2344,x2341,x2345),f353(x2343,x2344,x2342,x2345))
% 163.96/163.66 [235]~E(x2351,x2352)+E(f353(x2353,x2354,x2355,x2351),f353(x2353,x2354,x2355,x2352))
% 163.96/163.66 [236]~E(x2361,x2362)+E(f99(x2361),f99(x2362))
% 163.96/163.66 [237]~E(x2371,x2372)+E(f842(x2371,x2373,x2374),f842(x2372,x2373,x2374))
% 163.96/163.66 [238]~E(x2381,x2382)+E(f842(x2383,x2381,x2384),f842(x2383,x2382,x2384))
% 163.96/163.66 [239]~E(x2391,x2392)+E(f842(x2393,x2394,x2391),f842(x2393,x2394,x2392))
% 163.96/163.66 [240]~E(x2401,x2402)+E(f656(x2401,x2403,x2404),f656(x2402,x2403,x2404))
% 163.96/163.66 [241]~E(x2411,x2412)+E(f656(x2413,x2411,x2414),f656(x2413,x2412,x2414))
% 163.96/163.66 [242]~E(x2421,x2422)+E(f656(x2423,x2424,x2421),f656(x2423,x2424,x2422))
% 163.96/163.66 [243]~E(x2431,x2432)+E(f169(x2431,x2433),f169(x2432,x2433))
% 163.96/163.66 [244]~E(x2441,x2442)+E(f169(x2443,x2441),f169(x2443,x2442))
% 163.96/163.66 [245]~E(x2451,x2452)+E(f167(x2451,x2453,x2454),f167(x2452,x2453,x2454))
% 163.96/163.66 [246]~E(x2461,x2462)+E(f167(x2463,x2461,x2464),f167(x2463,x2462,x2464))
% 163.96/163.66 [247]~E(x2471,x2472)+E(f167(x2473,x2474,x2471),f167(x2473,x2474,x2472))
% 163.96/163.66 [248]~E(x2481,x2482)+E(f142(x2481,x2483),f142(x2482,x2483))
% 163.96/163.66 [249]~E(x2491,x2492)+E(f142(x2493,x2491),f142(x2493,x2492))
% 163.96/163.66 [250]~E(x2501,x2502)+E(f129(x2501,x2503),f129(x2502,x2503))
% 163.96/163.66 [251]~E(x2511,x2512)+E(f129(x2513,x2511),f129(x2513,x2512))
% 163.96/163.66 [252]~E(x2521,x2522)+E(f181(x2521),f181(x2522))
% 163.96/163.66 [253]~E(x2531,x2532)+E(f36(x2531),f36(x2532))
% 163.96/163.66 [254]~E(x2541,x2542)+E(f105(x2541),f105(x2542))
% 163.96/163.66 [255]~E(x2551,x2552)+E(f69(x2551),f69(x2552))
% 163.96/163.66 [256]~E(x2561,x2562)+E(f906(x2561,x2563),f906(x2562,x2563))
% 163.96/163.66 [257]~E(x2571,x2572)+E(f906(x2573,x2571),f906(x2573,x2572))
% 163.96/163.66 [258]~E(x2581,x2582)+E(f903(x2581,x2583),f903(x2582,x2583))
% 163.96/163.66 [259]~E(x2591,x2592)+E(f903(x2593,x2591),f903(x2593,x2592))
% 163.96/163.66 [260]~E(x2601,x2602)+E(f157(x2601),f157(x2602))
% 163.96/163.66 [261]~E(x2611,x2612)+E(f297(x2611),f297(x2612))
% 163.96/163.66 [262]~E(x2621,x2622)+E(f147(x2621,x2623),f147(x2622,x2623))
% 163.96/163.66 [263]~E(x2631,x2632)+E(f147(x2633,x2631),f147(x2633,x2632))
% 163.96/163.66 [264]~E(x2641,x2642)+E(f85(x2641,x2643,x2644,x2645),f85(x2642,x2643,x2644,x2645))
% 163.96/163.66 [265]~E(x2651,x2652)+E(f85(x2653,x2651,x2654,x2655),f85(x2653,x2652,x2654,x2655))
% 163.96/163.66 [266]~E(x2661,x2662)+E(f85(x2663,x2664,x2661,x2665),f85(x2663,x2664,x2662,x2665))
% 163.96/163.66 [267]~E(x2671,x2672)+E(f85(x2673,x2674,x2675,x2671),f85(x2673,x2674,x2675,x2672))
% 163.96/163.66 [268]~E(x2681,x2682)+E(f161(x2681),f161(x2682))
% 163.96/163.66 [269]~E(x2691,x2692)+E(f247(x2691,x2693,x2694,x2695,x2696,x2697),f247(x2692,x2693,x2694,x2695,x2696,x2697))
% 163.96/163.66 [270]~E(x2701,x2702)+E(f247(x2703,x2701,x2704,x2705,x2706,x2707),f247(x2703,x2702,x2704,x2705,x2706,x2707))
% 163.96/163.66 [271]~E(x2711,x2712)+E(f247(x2713,x2714,x2711,x2715,x2716,x2717),f247(x2713,x2714,x2712,x2715,x2716,x2717))
% 163.96/163.66 [272]~E(x2721,x2722)+E(f247(x2723,x2724,x2725,x2721,x2726,x2727),f247(x2723,x2724,x2725,x2722,x2726,x2727))
% 163.96/163.66 [273]~E(x2731,x2732)+E(f247(x2733,x2734,x2735,x2736,x2731,x2737),f247(x2733,x2734,x2735,x2736,x2732,x2737))
% 163.96/163.66 [274]~E(x2741,x2742)+E(f247(x2743,x2744,x2745,x2746,x2747,x2741),f247(x2743,x2744,x2745,x2746,x2747,x2742))
% 163.96/163.66 [275]~E(x2751,x2752)+E(f304(x2751,x2753),f304(x2752,x2753))
% 163.96/163.66 [276]~E(x2761,x2762)+E(f304(x2763,x2761),f304(x2763,x2762))
% 163.96/163.66 [277]~E(x2771,x2772)+E(f140(x2771,x2773,x2774,x2775),f140(x2772,x2773,x2774,x2775))
% 163.96/163.66 [278]~E(x2781,x2782)+E(f140(x2783,x2781,x2784,x2785),f140(x2783,x2782,x2784,x2785))
% 163.96/163.66 [279]~E(x2791,x2792)+E(f140(x2793,x2794,x2791,x2795),f140(x2793,x2794,x2792,x2795))
% 163.96/163.66 [280]~E(x2801,x2802)+E(f140(x2803,x2804,x2805,x2801),f140(x2803,x2804,x2805,x2802))
% 163.96/163.66 [281]~E(x2811,x2812)+E(f158(x2811),f158(x2812))
% 163.96/163.66 [282]~E(x2821,x2822)+E(f61(x2821,x2823,x2824),f61(x2822,x2823,x2824))
% 163.96/163.66 [283]~E(x2831,x2832)+E(f61(x2833,x2831,x2834),f61(x2833,x2832,x2834))
% 163.96/163.66 [284]~E(x2841,x2842)+E(f61(x2843,x2844,x2841),f61(x2843,x2844,x2842))
% 163.96/163.66 [285]~E(x2851,x2852)+E(f845(x2851,x2853,x2854),f845(x2852,x2853,x2854))
% 163.96/163.66 [286]~E(x2861,x2862)+E(f845(x2863,x2861,x2864),f845(x2863,x2862,x2864))
% 163.96/163.66 [287]~E(x2871,x2872)+E(f845(x2873,x2874,x2871),f845(x2873,x2874,x2872))
% 163.96/163.66 [288]~E(x2881,x2882)+E(f149(x2881,x2883),f149(x2882,x2883))
% 163.96/163.66 [289]~E(x2891,x2892)+E(f149(x2893,x2891),f149(x2893,x2892))
% 163.96/163.66 [290]~E(x2901,x2902)+E(f722(x2901,x2903),f722(x2902,x2903))
% 163.96/163.66 [291]~E(x2911,x2912)+E(f722(x2913,x2911),f722(x2913,x2912))
% 163.96/163.66 [292]~E(x2921,x2922)+E(f503(x2921,x2923,x2924,x2925),f503(x2922,x2923,x2924,x2925))
% 163.96/163.66 [293]~E(x2931,x2932)+E(f503(x2933,x2931,x2934,x2935),f503(x2933,x2932,x2934,x2935))
% 163.96/163.66 [294]~E(x2941,x2942)+E(f503(x2943,x2944,x2941,x2945),f503(x2943,x2944,x2942,x2945))
% 163.96/163.66 [295]~E(x2951,x2952)+E(f503(x2953,x2954,x2955,x2951),f503(x2953,x2954,x2955,x2952))
% 163.96/163.66 [296]~E(x2961,x2962)+E(f106(x2961,x2963,x2964),f106(x2962,x2963,x2964))
% 163.96/163.66 [297]~E(x2971,x2972)+E(f106(x2973,x2971,x2974),f106(x2973,x2972,x2974))
% 163.96/163.66 [298]~E(x2981,x2982)+E(f106(x2983,x2984,x2981),f106(x2983,x2984,x2982))
% 163.96/163.66 [299]~E(x2991,x2992)+E(f717(x2991,x2993),f717(x2992,x2993))
% 163.96/163.66 [300]~E(x3001,x3002)+E(f717(x3003,x3001),f717(x3003,x3002))
% 163.96/163.66 [301]~E(x3011,x3012)+E(f277(x3011,x3013),f277(x3012,x3013))
% 163.96/163.66 [302]~E(x3021,x3022)+E(f277(x3023,x3021),f277(x3023,x3022))
% 163.96/163.66 [303]~E(x3031,x3032)+E(f307(x3031,x3033),f307(x3032,x3033))
% 163.96/163.66 [304]~E(x3041,x3042)+E(f307(x3043,x3041),f307(x3043,x3042))
% 163.96/163.66 [305]~E(x3051,x3052)+E(f759(x3051,x3053,x3054),f759(x3052,x3053,x3054))
% 163.96/163.66 [306]~E(x3061,x3062)+E(f759(x3063,x3061,x3064),f759(x3063,x3062,x3064))
% 163.96/163.66 [307]~E(x3071,x3072)+E(f759(x3073,x3074,x3071),f759(x3073,x3074,x3072))
% 163.96/163.66 [308]~E(x3081,x3082)+E(f309(x3081,x3083),f309(x3082,x3083))
% 163.96/163.66 [309]~E(x3091,x3092)+E(f309(x3093,x3091),f309(x3093,x3092))
% 163.96/163.66 [310]~E(x3101,x3102)+E(f205(x3101,x3103),f205(x3102,x3103))
% 163.96/163.66 [311]~E(x3111,x3112)+E(f205(x3113,x3111),f205(x3113,x3112))
% 163.96/163.66 [312]~E(x3121,x3122)+E(f275(x3121,x3123),f275(x3122,x3123))
% 163.96/163.66 [313]~E(x3131,x3132)+E(f275(x3133,x3131),f275(x3133,x3132))
% 163.96/163.66 [314]~E(x3141,x3142)+E(f411(x3141,x3143,x3144,x3145,x3146),f411(x3142,x3143,x3144,x3145,x3146))
% 163.96/163.66 [315]~E(x3151,x3152)+E(f411(x3153,x3151,x3154,x3155,x3156),f411(x3153,x3152,x3154,x3155,x3156))
% 163.96/163.66 [316]~E(x3161,x3162)+E(f411(x3163,x3164,x3161,x3165,x3166),f411(x3163,x3164,x3162,x3165,x3166))
% 163.96/163.66 [317]~E(x3171,x3172)+E(f411(x3173,x3174,x3175,x3171,x3176),f411(x3173,x3174,x3175,x3172,x3176))
% 163.96/163.66 [318]~E(x3181,x3182)+E(f411(x3183,x3184,x3185,x3186,x3181),f411(x3183,x3184,x3185,x3186,x3182))
% 163.96/163.66 [319]~E(x3191,x3192)+E(f86(x3191),f86(x3192))
% 163.96/163.66 [320]~E(x3201,x3202)+E(f81(x3201),f81(x3202))
% 163.96/163.66 [321]~E(x3211,x3212)+E(f471(x3211,x3213,x3214),f471(x3212,x3213,x3214))
% 163.96/163.66 [322]~E(x3221,x3222)+E(f471(x3223,x3221,x3224),f471(x3223,x3222,x3224))
% 163.96/163.66 [323]~E(x3231,x3232)+E(f471(x3233,x3234,x3231),f471(x3233,x3234,x3232))
% 163.96/163.66 [324]~E(x3241,x3242)+E(f42(x3241,x3243),f42(x3242,x3243))
% 163.96/163.66 [325]~E(x3251,x3252)+E(f42(x3253,x3251),f42(x3253,x3252))
% 163.96/163.66 [326]~E(x3261,x3262)+E(f328(x3261,x3263,x3264,x3265),f328(x3262,x3263,x3264,x3265))
% 163.96/163.66 [327]~E(x3271,x3272)+E(f328(x3273,x3271,x3274,x3275),f328(x3273,x3272,x3274,x3275))
% 163.96/163.66 [328]~E(x3281,x3282)+E(f328(x3283,x3284,x3281,x3285),f328(x3283,x3284,x3282,x3285))
% 163.96/163.66 [329]~E(x3291,x3292)+E(f328(x3293,x3294,x3295,x3291),f328(x3293,x3294,x3295,x3292))
% 163.96/163.66 [330]~E(x3301,x3302)+E(f300(x3301,x3303,x3304),f300(x3302,x3303,x3304))
% 163.96/163.66 [331]~E(x3311,x3312)+E(f300(x3313,x3311,x3314),f300(x3313,x3312,x3314))
% 163.96/163.66 [332]~E(x3321,x3322)+E(f300(x3323,x3324,x3321),f300(x3323,x3324,x3322))
% 163.96/163.66 [333]~E(x3331,x3332)+E(f176(x3331),f176(x3332))
% 163.96/163.66 [334]~E(x3341,x3342)+E(f286(x3341,x3343,x3344,x3345,x3346),f286(x3342,x3343,x3344,x3345,x3346))
% 163.96/163.66 [335]~E(x3351,x3352)+E(f286(x3353,x3351,x3354,x3355,x3356),f286(x3353,x3352,x3354,x3355,x3356))
% 163.96/163.66 [336]~E(x3361,x3362)+E(f286(x3363,x3364,x3361,x3365,x3366),f286(x3363,x3364,x3362,x3365,x3366))
% 163.96/163.66 [337]~E(x3371,x3372)+E(f286(x3373,x3374,x3375,x3371,x3376),f286(x3373,x3374,x3375,x3372,x3376))
% 163.96/163.66 [338]~E(x3381,x3382)+E(f286(x3383,x3384,x3385,x3386,x3381),f286(x3383,x3384,x3385,x3386,x3382))
% 163.96/163.66 [339]~E(x3391,x3392)+E(f119(x3391),f119(x3392))
% 163.96/163.66 [340]~E(x3401,x3402)+E(f839(x3401,x3403,x3404),f839(x3402,x3403,x3404))
% 163.96/163.66 [341]~E(x3411,x3412)+E(f839(x3413,x3411,x3414),f839(x3413,x3412,x3414))
% 163.96/163.66 [342]~E(x3421,x3422)+E(f839(x3423,x3424,x3421),f839(x3423,x3424,x3422))
% 163.96/163.66 [343]~E(x3431,x3432)+E(f272(x3431),f272(x3432))
% 163.96/163.66 [344]~E(x3441,x3442)+E(f109(x3441),f109(x3442))
% 163.96/163.66 [345]~E(x3451,x3452)+E(f110(x3451,x3453),f110(x3452,x3453))
% 163.96/163.66 [346]~E(x3461,x3462)+E(f110(x3463,x3461),f110(x3463,x3462))
% 163.96/163.66 [347]~E(x3471,x3472)+E(f43(x3471,x3473),f43(x3472,x3473))
% 163.96/163.66 [348]~E(x3481,x3482)+E(f43(x3483,x3481),f43(x3483,x3482))
% 163.96/163.66 [349]~E(x3491,x3492)+E(f560(x3491,x3493,x3494),f560(x3492,x3493,x3494))
% 163.96/163.66 [350]~E(x3501,x3502)+E(f560(x3503,x3501,x3504),f560(x3503,x3502,x3504))
% 163.96/163.66 [351]~E(x3511,x3512)+E(f560(x3513,x3514,x3511),f560(x3513,x3514,x3512))
% 163.96/163.66 [352]~E(x3521,x3522)+E(f58(x3521,x3523,x3524),f58(x3522,x3523,x3524))
% 163.96/163.66 [353]~E(x3531,x3532)+E(f58(x3533,x3531,x3534),f58(x3533,x3532,x3534))
% 163.96/163.66 [354]~E(x3541,x3542)+E(f58(x3543,x3544,x3541),f58(x3543,x3544,x3542))
% 163.96/163.66 [355]~E(x3551,x3552)+E(f126(x3551,x3553),f126(x3552,x3553))
% 163.96/163.66 [356]~E(x3561,x3562)+E(f126(x3563,x3561),f126(x3563,x3562))
% 163.96/163.66 [357]~E(x3571,x3572)+E(f79(x3571,x3573),f79(x3572,x3573))
% 163.96/163.66 [358]~E(x3581,x3582)+E(f79(x3583,x3581),f79(x3583,x3582))
% 163.96/163.66 [359]~E(x3591,x3592)+E(f568(x3591,x3593,x3594,x3595,x3596,x3597,x3598),f568(x3592,x3593,x3594,x3595,x3596,x3597,x3598))
% 163.96/163.66 [360]~E(x3601,x3602)+E(f568(x3603,x3601,x3604,x3605,x3606,x3607,x3608),f568(x3603,x3602,x3604,x3605,x3606,x3607,x3608))
% 163.96/163.66 [361]~E(x3611,x3612)+E(f568(x3613,x3614,x3611,x3615,x3616,x3617,x3618),f568(x3613,x3614,x3612,x3615,x3616,x3617,x3618))
% 163.96/163.66 [362]~E(x3621,x3622)+E(f568(x3623,x3624,x3625,x3621,x3626,x3627,x3628),f568(x3623,x3624,x3625,x3622,x3626,x3627,x3628))
% 163.96/163.66 [363]~E(x3631,x3632)+E(f568(x3633,x3634,x3635,x3636,x3631,x3637,x3638),f568(x3633,x3634,x3635,x3636,x3632,x3637,x3638))
% 163.96/163.66 [364]~E(x3641,x3642)+E(f568(x3643,x3644,x3645,x3646,x3647,x3641,x3648),f568(x3643,x3644,x3645,x3646,x3647,x3642,x3648))
% 163.96/163.66 [365]~E(x3651,x3652)+E(f568(x3653,x3654,x3655,x3656,x3657,x3658,x3651),f568(x3653,x3654,x3655,x3656,x3657,x3658,x3652))
% 163.96/163.66 [366]~E(x3661,x3662)+E(f84(x3661,x3663),f84(x3662,x3663))
% 163.96/163.66 [367]~E(x3671,x3672)+E(f84(x3673,x3671),f84(x3673,x3672))
% 163.96/163.66 [368]~E(x3681,x3682)+E(f168(x3681,x3683),f168(x3682,x3683))
% 163.96/163.66 [369]~E(x3691,x3692)+E(f168(x3693,x3691),f168(x3693,x3692))
% 163.96/163.66 [370]~E(x3701,x3702)+E(f143(x3701,x3703),f143(x3702,x3703))
% 163.96/163.66 [371]~E(x3711,x3712)+E(f143(x3713,x3711),f143(x3713,x3712))
% 163.96/163.66 [372]~E(x3721,x3722)+E(f252(x3721,x3723),f252(x3722,x3723))
% 163.96/163.66 [373]~E(x3731,x3732)+E(f252(x3733,x3731),f252(x3733,x3732))
% 163.96/163.66 [374]~E(x3741,x3742)+E(f41(x3741,x3743),f41(x3742,x3743))
% 163.96/163.66 [375]~E(x3751,x3752)+E(f41(x3753,x3751),f41(x3753,x3752))
% 163.96/163.66 [376]~E(x3761,x3762)+E(f802(x3761,x3763,x3764),f802(x3762,x3763,x3764))
% 163.96/163.66 [377]~E(x3771,x3772)+E(f802(x3773,x3771,x3774),f802(x3773,x3772,x3774))
% 163.96/163.66 [378]~E(x3781,x3782)+E(f802(x3783,x3784,x3781),f802(x3783,x3784,x3782))
% 163.96/163.66 [379]~E(x3791,x3792)+E(f627(x3791,x3793,x3794,x3795),f627(x3792,x3793,x3794,x3795))
% 163.96/163.66 [380]~E(x3801,x3802)+E(f627(x3803,x3801,x3804,x3805),f627(x3803,x3802,x3804,x3805))
% 163.96/163.66 [381]~E(x3811,x3812)+E(f627(x3813,x3814,x3811,x3815),f627(x3813,x3814,x3812,x3815))
% 163.96/163.66 [382]~E(x3821,x3822)+E(f627(x3823,x3824,x3825,x3821),f627(x3823,x3824,x3825,x3822))
% 163.96/163.66 [383]~E(x3831,x3832)+E(f812(x3831,x3833,x3834),f812(x3832,x3833,x3834))
% 163.96/163.66 [384]~E(x3841,x3842)+E(f812(x3843,x3841,x3844),f812(x3843,x3842,x3844))
% 163.96/163.66 [385]~E(x3851,x3852)+E(f812(x3853,x3854,x3851),f812(x3853,x3854,x3852))
% 163.96/163.66 [386]~E(x3861,x3862)+E(f56(x3861,x3863),f56(x3862,x3863))
% 163.96/163.66 [387]~E(x3871,x3872)+E(f56(x3873,x3871),f56(x3873,x3872))
% 163.96/163.66 [388]~E(x3881,x3882)+E(f453(x3881,x3883,x3884),f453(x3882,x3883,x3884))
% 163.96/163.66 [389]~E(x3891,x3892)+E(f453(x3893,x3891,x3894),f453(x3893,x3892,x3894))
% 163.96/163.66 [390]~E(x3901,x3902)+E(f453(x3903,x3904,x3901),f453(x3903,x3904,x3902))
% 163.96/163.66 [391]~E(x3911,x3912)+E(f833(x3911,x3913,x3914,x3915,x3916,x3917,x3918,x3919),f833(x3912,x3913,x3914,x3915,x3916,x3917,x3918,x3919))
% 163.96/163.66 [392]~E(x3921,x3922)+E(f833(x3923,x3921,x3924,x3925,x3926,x3927,x3928,x3929),f833(x3923,x3922,x3924,x3925,x3926,x3927,x3928,x3929))
% 163.96/163.66 [393]~E(x3931,x3932)+E(f833(x3933,x3934,x3931,x3935,x3936,x3937,x3938,x3939),f833(x3933,x3934,x3932,x3935,x3936,x3937,x3938,x3939))
% 163.96/163.66 [394]~E(x3941,x3942)+E(f833(x3943,x3944,x3945,x3941,x3946,x3947,x3948,x3949),f833(x3943,x3944,x3945,x3942,x3946,x3947,x3948,x3949))
% 163.96/163.66 [395]~E(x3951,x3952)+E(f833(x3953,x3954,x3955,x3956,x3951,x3957,x3958,x3959),f833(x3953,x3954,x3955,x3956,x3952,x3957,x3958,x3959))
% 163.96/163.66 [396]~E(x3961,x3962)+E(f833(x3963,x3964,x3965,x3966,x3967,x3961,x3968,x3969),f833(x3963,x3964,x3965,x3966,x3967,x3962,x3968,x3969))
% 163.96/163.66 [397]~E(x3971,x3972)+E(f833(x3973,x3974,x3975,x3976,x3977,x3978,x3971,x3979),f833(x3973,x3974,x3975,x3976,x3977,x3978,x3972,x3979))
% 163.96/163.66 [398]~E(x3981,x3982)+E(f833(x3983,x3984,x3985,x3986,x3987,x3988,x3989,x3981),f833(x3983,x3984,x3985,x3986,x3987,x3988,x3989,x3982))
% 163.96/163.66 [399]~E(x3991,x3992)+E(f693(x3991,x3993,x3994,x3995,x3996),f693(x3992,x3993,x3994,x3995,x3996))
% 163.96/163.66 [400]~E(x4001,x4002)+E(f693(x4003,x4001,x4004,x4005,x4006),f693(x4003,x4002,x4004,x4005,x4006))
% 163.96/163.66 [401]~E(x4011,x4012)+E(f693(x4013,x4014,x4011,x4015,x4016),f693(x4013,x4014,x4012,x4015,x4016))
% 163.96/163.66 [402]~E(x4021,x4022)+E(f693(x4023,x4024,x4025,x4021,x4026),f693(x4023,x4024,x4025,x4022,x4026))
% 163.96/163.66 [403]~E(x4031,x4032)+E(f693(x4033,x4034,x4035,x4036,x4031),f693(x4033,x4034,x4035,x4036,x4032))
% 163.96/163.66 [404]~E(x4041,x4042)+E(f133(x4041,x4043),f133(x4042,x4043))
% 163.96/163.66 [405]~E(x4051,x4052)+E(f133(x4053,x4051),f133(x4053,x4052))
% 163.96/163.66 [406]~E(x4061,x4062)+E(f738(x4061,x4063,x4064,x4065,x4066),f738(x4062,x4063,x4064,x4065,x4066))
% 163.96/163.66 [407]~E(x4071,x4072)+E(f738(x4073,x4071,x4074,x4075,x4076),f738(x4073,x4072,x4074,x4075,x4076))
% 163.96/163.66 [408]~E(x4081,x4082)+E(f738(x4083,x4084,x4081,x4085,x4086),f738(x4083,x4084,x4082,x4085,x4086))
% 163.96/163.66 [409]~E(x4091,x4092)+E(f738(x4093,x4094,x4095,x4091,x4096),f738(x4093,x4094,x4095,x4092,x4096))
% 163.96/163.66 [410]~E(x4101,x4102)+E(f738(x4103,x4104,x4105,x4106,x4101),f738(x4103,x4104,x4105,x4106,x4102))
% 163.96/163.66 [411]~E(x4111,x4112)+E(f893(x4111,x4113,x4114,x4115,x4116),f893(x4112,x4113,x4114,x4115,x4116))
% 163.96/163.66 [412]~E(x4121,x4122)+E(f893(x4123,x4121,x4124,x4125,x4126),f893(x4123,x4122,x4124,x4125,x4126))
% 163.96/163.66 [413]~E(x4131,x4132)+E(f893(x4133,x4134,x4131,x4135,x4136),f893(x4133,x4134,x4132,x4135,x4136))
% 163.96/163.66 [414]~E(x4141,x4142)+E(f893(x4143,x4144,x4145,x4141,x4146),f893(x4143,x4144,x4145,x4142,x4146))
% 163.96/163.66 [415]~E(x4151,x4152)+E(f893(x4153,x4154,x4155,x4156,x4151),f893(x4153,x4154,x4155,x4156,x4152))
% 163.96/163.66 [416]~E(x4161,x4162)+E(f527(x4161,x4163,x4164),f527(x4162,x4163,x4164))
% 163.96/163.66 [417]~E(x4171,x4172)+E(f527(x4173,x4171,x4174),f527(x4173,x4172,x4174))
% 163.96/163.66 [418]~E(x4181,x4182)+E(f527(x4183,x4184,x4181),f527(x4183,x4184,x4182))
% 163.96/163.66 [419]~E(x4191,x4192)+E(f494(x4191,x4193),f494(x4192,x4193))
% 163.96/163.66 [420]~E(x4201,x4202)+E(f494(x4203,x4201),f494(x4203,x4202))
% 163.96/163.66 [421]~E(x4211,x4212)+E(f204(x4211,x4213),f204(x4212,x4213))
% 163.96/163.66 [422]~E(x4221,x4222)+E(f204(x4223,x4221),f204(x4223,x4222))
% 163.96/163.66 [423]~E(x4231,x4232)+E(f564(x4231,x4233,x4234,x4235,x4236,x4237,x4238),f564(x4232,x4233,x4234,x4235,x4236,x4237,x4238))
% 163.96/163.66 [424]~E(x4241,x4242)+E(f564(x4243,x4241,x4244,x4245,x4246,x4247,x4248),f564(x4243,x4242,x4244,x4245,x4246,x4247,x4248))
% 163.96/163.66 [425]~E(x4251,x4252)+E(f564(x4253,x4254,x4251,x4255,x4256,x4257,x4258),f564(x4253,x4254,x4252,x4255,x4256,x4257,x4258))
% 163.96/163.66 [426]~E(x4261,x4262)+E(f564(x4263,x4264,x4265,x4261,x4266,x4267,x4268),f564(x4263,x4264,x4265,x4262,x4266,x4267,x4268))
% 163.96/163.66 [427]~E(x4271,x4272)+E(f564(x4273,x4274,x4275,x4276,x4271,x4277,x4278),f564(x4273,x4274,x4275,x4276,x4272,x4277,x4278))
% 163.96/163.66 [428]~E(x4281,x4282)+E(f564(x4283,x4284,x4285,x4286,x4287,x4281,x4288),f564(x4283,x4284,x4285,x4286,x4287,x4282,x4288))
% 163.96/163.66 [429]~E(x4291,x4292)+E(f564(x4293,x4294,x4295,x4296,x4297,x4298,x4291),f564(x4293,x4294,x4295,x4296,x4297,x4298,x4292))
% 163.96/163.66 [430]~E(x4301,x4302)+E(f609(x4301,x4303,x4304),f609(x4302,x4303,x4304))
% 163.96/163.66 [431]~E(x4311,x4312)+E(f609(x4313,x4311,x4314),f609(x4313,x4312,x4314))
% 163.96/163.66 [432]~E(x4321,x4322)+E(f609(x4323,x4324,x4321),f609(x4323,x4324,x4322))
% 163.96/163.66 [433]~E(x4331,x4332)+E(f784(x4331,x4333),f784(x4332,x4333))
% 163.96/163.66 [434]~E(x4341,x4342)+E(f784(x4343,x4341),f784(x4343,x4342))
% 163.96/163.66 [435]~E(x4351,x4352)+E(f342(x4351,x4353,x4354,x4355),f342(x4352,x4353,x4354,x4355))
% 163.96/163.66 [436]~E(x4361,x4362)+E(f342(x4363,x4361,x4364,x4365),f342(x4363,x4362,x4364,x4365))
% 163.96/163.66 [437]~E(x4371,x4372)+E(f342(x4373,x4374,x4371,x4375),f342(x4373,x4374,x4372,x4375))
% 163.96/163.66 [438]~E(x4381,x4382)+E(f342(x4383,x4384,x4385,x4381),f342(x4383,x4384,x4385,x4382))
% 163.96/163.66 [439]~E(x4391,x4392)+E(f840(x4391,x4393,x4394),f840(x4392,x4393,x4394))
% 163.96/163.66 [440]~E(x4401,x4402)+E(f840(x4403,x4401,x4404),f840(x4403,x4402,x4404))
% 163.96/163.66 [441]~E(x4411,x4412)+E(f840(x4413,x4414,x4411),f840(x4413,x4414,x4412))
% 163.96/163.66 [442]~E(x4421,x4422)+E(f80(x4421,x4423),f80(x4422,x4423))
% 163.96/163.66 [443]~E(x4431,x4432)+E(f80(x4433,x4431),f80(x4433,x4432))
% 163.96/163.66 [444]~E(x4441,x4442)+E(f257(x4441,x4443),f257(x4442,x4443))
% 163.96/163.66 [445]~E(x4451,x4452)+E(f257(x4453,x4451),f257(x4453,x4452))
% 163.96/163.66 [446]~E(x4461,x4462)+E(f294(x4461,x4463,x4464),f294(x4462,x4463,x4464))
% 163.96/163.66 [447]~E(x4471,x4472)+E(f294(x4473,x4471,x4474),f294(x4473,x4472,x4474))
% 163.96/163.66 [448]~E(x4481,x4482)+E(f294(x4483,x4484,x4481),f294(x4483,x4484,x4482))
% 163.96/163.66 [449]~E(x4491,x4492)+E(f148(x4491,x4493),f148(x4492,x4493))
% 163.96/163.66 [450]~E(x4501,x4502)+E(f148(x4503,x4501),f148(x4503,x4502))
% 163.96/163.66 [451]~E(x4511,x4512)+E(f212(x4511,x4513,x4514),f212(x4512,x4513,x4514))
% 163.96/163.66 [452]~E(x4521,x4522)+E(f212(x4523,x4521,x4524),f212(x4523,x4522,x4524))
% 163.96/163.66 [453]~E(x4531,x4532)+E(f212(x4533,x4534,x4531),f212(x4533,x4534,x4532))
% 163.96/163.66 [454]~E(x4541,x4542)+E(f160(x4541,x4543,x4544),f160(x4542,x4543,x4544))
% 163.96/163.66 [455]~E(x4551,x4552)+E(f160(x4553,x4551,x4554),f160(x4553,x4552,x4554))
% 163.96/163.66 [456]~E(x4561,x4562)+E(f160(x4563,x4564,x4561),f160(x4563,x4564,x4562))
% 163.96/163.66 [457]~E(x4571,x4572)+E(f250(x4571,x4573,x4574,x4575,x4576),f250(x4572,x4573,x4574,x4575,x4576))
% 163.96/163.66 [458]~E(x4581,x4582)+E(f250(x4583,x4581,x4584,x4585,x4586),f250(x4583,x4582,x4584,x4585,x4586))
% 163.96/163.66 [459]~E(x4591,x4592)+E(f250(x4593,x4594,x4591,x4595,x4596),f250(x4593,x4594,x4592,x4595,x4596))
% 163.96/163.66 [460]~E(x4601,x4602)+E(f250(x4603,x4604,x4605,x4601,x4606),f250(x4603,x4604,x4605,x4602,x4606))
% 163.96/163.66 [461]~E(x4611,x4612)+E(f250(x4613,x4614,x4615,x4616,x4611),f250(x4613,x4614,x4615,x4616,x4612))
% 163.96/163.66 [462]~E(x4621,x4622)+E(f791(x4621,x4623,x4624,x4625),f791(x4622,x4623,x4624,x4625))
% 163.96/163.66 [463]~E(x4631,x4632)+E(f791(x4633,x4631,x4634,x4635),f791(x4633,x4632,x4634,x4635))
% 163.96/163.66 [464]~E(x4641,x4642)+E(f791(x4643,x4644,x4641,x4645),f791(x4643,x4644,x4642,x4645))
% 163.96/163.66 [465]~E(x4651,x4652)+E(f791(x4653,x4654,x4655,x4651),f791(x4653,x4654,x4655,x4652))
% 163.96/163.66 [466]~E(x4661,x4662)+E(f446(x4661,x4663,x4664),f446(x4662,x4663,x4664))
% 163.96/163.66 [467]~E(x4671,x4672)+E(f446(x4673,x4671,x4674),f446(x4673,x4672,x4674))
% 163.96/163.66 [468]~E(x4681,x4682)+E(f446(x4683,x4684,x4681),f446(x4683,x4684,x4682))
% 163.96/163.66 [469]~E(x4691,x4692)+E(f303(x4691),f303(x4692))
% 163.96/163.66 [470]~E(x4701,x4702)+E(f159(x4701,x4703,x4704),f159(x4702,x4703,x4704))
% 163.96/163.66 [471]~E(x4711,x4712)+E(f159(x4713,x4711,x4714),f159(x4713,x4712,x4714))
% 163.96/163.66 [472]~E(x4721,x4722)+E(f159(x4723,x4724,x4721),f159(x4723,x4724,x4722))
% 163.96/163.66 [473]~E(x4731,x4732)+E(f151(x4731,x4733),f151(x4732,x4733))
% 163.96/163.66 [474]~E(x4741,x4742)+E(f151(x4743,x4741),f151(x4743,x4742))
% 163.96/163.66 [475]~E(x4751,x4752)+E(f766(x4751,x4753,x4754),f766(x4752,x4753,x4754))
% 163.96/163.66 [476]~E(x4761,x4762)+E(f766(x4763,x4761,x4764),f766(x4763,x4762,x4764))
% 163.96/163.66 [477]~E(x4771,x4772)+E(f766(x4773,x4774,x4771),f766(x4773,x4774,x4772))
% 163.96/163.66 [478]~E(x4781,x4782)+E(f239(x4781,x4783,x4784),f239(x4782,x4783,x4784))
% 163.96/163.66 [479]~E(x4791,x4792)+E(f239(x4793,x4791,x4794),f239(x4793,x4792,x4794))
% 163.96/163.66 [480]~E(x4801,x4802)+E(f239(x4803,x4804,x4801),f239(x4803,x4804,x4802))
% 163.96/163.66 [481]~E(x4811,x4812)+E(f780(x4811,x4813,x4814,x4815),f780(x4812,x4813,x4814,x4815))
% 163.96/163.66 [482]~E(x4821,x4822)+E(f780(x4823,x4821,x4824,x4825),f780(x4823,x4822,x4824,x4825))
% 163.96/163.66 [483]~E(x4831,x4832)+E(f780(x4833,x4834,x4831,x4835),f780(x4833,x4834,x4832,x4835))
% 163.96/163.66 [484]~E(x4841,x4842)+E(f780(x4843,x4844,x4845,x4841),f780(x4843,x4844,x4845,x4842))
% 163.96/163.66 [485]~E(x4851,x4852)+E(f360(x4851,x4853,x4854,x4855),f360(x4852,x4853,x4854,x4855))
% 163.96/163.66 [486]~E(x4861,x4862)+E(f360(x4863,x4861,x4864,x4865),f360(x4863,x4862,x4864,x4865))
% 163.96/163.66 [487]~E(x4871,x4872)+E(f360(x4873,x4874,x4871,x4875),f360(x4873,x4874,x4872,x4875))
% 163.96/163.66 [488]~E(x4881,x4882)+E(f360(x4883,x4884,x4885,x4881),f360(x4883,x4884,x4885,x4882))
% 163.96/163.66 [489]~E(x4891,x4892)+E(f416(x4891,x4893),f416(x4892,x4893))
% 163.96/163.66 [490]~E(x4901,x4902)+E(f416(x4903,x4901),f416(x4903,x4902))
% 163.96/163.66 [491]~E(x4911,x4912)+E(f504(x4911,x4913,x4914,x4915,x4916,x4917,x4918),f504(x4912,x4913,x4914,x4915,x4916,x4917,x4918))
% 163.96/163.66 [492]~E(x4921,x4922)+E(f504(x4923,x4921,x4924,x4925,x4926,x4927,x4928),f504(x4923,x4922,x4924,x4925,x4926,x4927,x4928))
% 163.96/163.66 [493]~E(x4931,x4932)+E(f504(x4933,x4934,x4931,x4935,x4936,x4937,x4938),f504(x4933,x4934,x4932,x4935,x4936,x4937,x4938))
% 163.96/163.66 [494]~E(x4941,x4942)+E(f504(x4943,x4944,x4945,x4941,x4946,x4947,x4948),f504(x4943,x4944,x4945,x4942,x4946,x4947,x4948))
% 163.96/163.66 [495]~E(x4951,x4952)+E(f504(x4953,x4954,x4955,x4956,x4951,x4957,x4958),f504(x4953,x4954,x4955,x4956,x4952,x4957,x4958))
% 163.96/163.66 [496]~E(x4961,x4962)+E(f504(x4963,x4964,x4965,x4966,x4967,x4961,x4968),f504(x4963,x4964,x4965,x4966,x4967,x4962,x4968))
% 163.96/163.66 [497]~E(x4971,x4972)+E(f504(x4973,x4974,x4975,x4976,x4977,x4978,x4971),f504(x4973,x4974,x4975,x4976,x4977,x4978,x4972))
% 163.96/163.66 [498]~E(x4981,x4982)+E(f327(x4981,x4983,x4984,x4985),f327(x4982,x4983,x4984,x4985))
% 163.96/163.66 [499]~E(x4991,x4992)+E(f327(x4993,x4991,x4994,x4995),f327(x4993,x4992,x4994,x4995))
% 163.96/163.66 [500]~E(x5001,x5002)+E(f327(x5003,x5004,x5001,x5005),f327(x5003,x5004,x5002,x5005))
% 163.96/163.66 [501]~E(x5011,x5012)+E(f327(x5013,x5014,x5015,x5011),f327(x5013,x5014,x5015,x5012))
% 163.96/163.66 [502]~E(x5021,x5022)+E(f837(x5021,x5023,x5024,x5025,x5026,x5027,x5028,x5029),f837(x5022,x5023,x5024,x5025,x5026,x5027,x5028,x5029))
% 163.96/163.66 [503]~E(x5031,x5032)+E(f837(x5033,x5031,x5034,x5035,x5036,x5037,x5038,x5039),f837(x5033,x5032,x5034,x5035,x5036,x5037,x5038,x5039))
% 163.96/163.66 [504]~E(x5041,x5042)+E(f837(x5043,x5044,x5041,x5045,x5046,x5047,x5048,x5049),f837(x5043,x5044,x5042,x5045,x5046,x5047,x5048,x5049))
% 163.96/163.66 [505]~E(x5051,x5052)+E(f837(x5053,x5054,x5055,x5051,x5056,x5057,x5058,x5059),f837(x5053,x5054,x5055,x5052,x5056,x5057,x5058,x5059))
% 163.96/163.66 [506]~E(x5061,x5062)+E(f837(x5063,x5064,x5065,x5066,x5061,x5067,x5068,x5069),f837(x5063,x5064,x5065,x5066,x5062,x5067,x5068,x5069))
% 163.96/163.66 [507]~E(x5071,x5072)+E(f837(x5073,x5074,x5075,x5076,x5077,x5071,x5078,x5079),f837(x5073,x5074,x5075,x5076,x5077,x5072,x5078,x5079))
% 163.96/163.66 [508]~E(x5081,x5082)+E(f837(x5083,x5084,x5085,x5086,x5087,x5088,x5081,x5089),f837(x5083,x5084,x5085,x5086,x5087,x5088,x5082,x5089))
% 163.96/163.66 [509]~E(x5091,x5092)+E(f837(x5093,x5094,x5095,x5096,x5097,x5098,x5099,x5091),f837(x5093,x5094,x5095,x5096,x5097,x5098,x5099,x5092))
% 163.96/163.66 [510]~E(x5101,x5102)+E(f553(x5101,x5103,x5104,x5105,x5106),f553(x5102,x5103,x5104,x5105,x5106))
% 163.96/163.66 [511]~E(x5111,x5112)+E(f553(x5113,x5111,x5114,x5115,x5116),f553(x5113,x5112,x5114,x5115,x5116))
% 163.96/163.66 [512]~E(x5121,x5122)+E(f553(x5123,x5124,x5121,x5125,x5126),f553(x5123,x5124,x5122,x5125,x5126))
% 163.96/163.66 [513]~E(x5131,x5132)+E(f553(x5133,x5134,x5135,x5131,x5136),f553(x5133,x5134,x5135,x5132,x5136))
% 163.96/163.66 [514]~E(x5141,x5142)+E(f553(x5143,x5144,x5145,x5146,x5141),f553(x5143,x5144,x5145,x5146,x5142))
% 163.96/163.66 [515]~E(x5151,x5152)+E(f450(x5151,x5153,x5154),f450(x5152,x5153,x5154))
% 163.96/163.66 [516]~E(x5161,x5162)+E(f450(x5163,x5161,x5164),f450(x5163,x5162,x5164))
% 163.96/163.66 [517]~E(x5171,x5172)+E(f450(x5173,x5174,x5171),f450(x5173,x5174,x5172))
% 163.96/163.66 [518]~E(x5181,x5182)+E(f377(x5181,x5183,x5184),f377(x5182,x5183,x5184))
% 163.96/163.66 [519]~E(x5191,x5192)+E(f377(x5193,x5191,x5194),f377(x5193,x5192,x5194))
% 163.96/163.66 [520]~E(x5201,x5202)+E(f377(x5203,x5204,x5201),f377(x5203,x5204,x5202))
% 163.96/163.66 [521]~E(x5211,x5212)+E(f858(x5211,x5213,x5214),f858(x5212,x5213,x5214))
% 163.96/163.66 [522]~E(x5221,x5222)+E(f858(x5223,x5221,x5224),f858(x5223,x5222,x5224))
% 163.96/163.66 [523]~E(x5231,x5232)+E(f858(x5233,x5234,x5231),f858(x5233,x5234,x5232))
% 163.96/163.66 [524]~E(x5241,x5242)+E(f827(x5241,x5243,x5244),f827(x5242,x5243,x5244))
% 163.96/163.66 [525]~E(x5251,x5252)+E(f827(x5253,x5251,x5254),f827(x5253,x5252,x5254))
% 163.96/163.66 [526]~E(x5261,x5262)+E(f827(x5263,x5264,x5261),f827(x5263,x5264,x5262))
% 163.96/163.66 [527]~E(x5271,x5272)+E(f115(x5271,x5273),f115(x5272,x5273))
% 163.96/163.66 [528]~E(x5281,x5282)+E(f115(x5283,x5281),f115(x5283,x5282))
% 163.96/163.66 [529]~E(x5291,x5292)+E(f134(x5291,x5293),f134(x5292,x5293))
% 163.96/163.66 [530]~E(x5301,x5302)+E(f134(x5303,x5301),f134(x5303,x5302))
% 163.96/163.66 [531]~E(x5311,x5312)+E(f289(x5311,x5313,x5314,x5315,x5316),f289(x5312,x5313,x5314,x5315,x5316))
% 163.96/163.66 [532]~E(x5321,x5322)+E(f289(x5323,x5321,x5324,x5325,x5326),f289(x5323,x5322,x5324,x5325,x5326))
% 163.96/163.66 [533]~E(x5331,x5332)+E(f289(x5333,x5334,x5331,x5335,x5336),f289(x5333,x5334,x5332,x5335,x5336))
% 163.96/163.66 [534]~E(x5341,x5342)+E(f289(x5343,x5344,x5345,x5341,x5346),f289(x5343,x5344,x5345,x5342,x5346))
% 163.96/163.66 [535]~E(x5351,x5352)+E(f289(x5353,x5354,x5355,x5356,x5351),f289(x5353,x5354,x5355,x5356,x5352))
% 163.96/163.66 [536]~E(x5361,x5362)+E(f108(x5361,x5363,x5364),f108(x5362,x5363,x5364))
% 163.96/163.66 [537]~E(x5371,x5372)+E(f108(x5373,x5371,x5374),f108(x5373,x5372,x5374))
% 163.96/163.66 [538]~E(x5381,x5382)+E(f108(x5383,x5384,x5381),f108(x5383,x5384,x5382))
% 163.96/163.66 [539]~E(x5391,x5392)+E(f125(x5391),f125(x5392))
% 163.96/163.66 [540]~E(x5401,x5402)+E(f430(x5401,x5403,x5404,x5405,x5406,x5407,x5408),f430(x5402,x5403,x5404,x5405,x5406,x5407,x5408))
% 163.96/163.66 [541]~E(x5411,x5412)+E(f430(x5413,x5411,x5414,x5415,x5416,x5417,x5418),f430(x5413,x5412,x5414,x5415,x5416,x5417,x5418))
% 163.96/163.66 [542]~E(x5421,x5422)+E(f430(x5423,x5424,x5421,x5425,x5426,x5427,x5428),f430(x5423,x5424,x5422,x5425,x5426,x5427,x5428))
% 163.96/163.66 [543]~E(x5431,x5432)+E(f430(x5433,x5434,x5435,x5431,x5436,x5437,x5438),f430(x5433,x5434,x5435,x5432,x5436,x5437,x5438))
% 163.96/163.66 [544]~E(x5441,x5442)+E(f430(x5443,x5444,x5445,x5446,x5441,x5447,x5448),f430(x5443,x5444,x5445,x5446,x5442,x5447,x5448))
% 163.96/163.66 [545]~E(x5451,x5452)+E(f430(x5453,x5454,x5455,x5456,x5457,x5451,x5458),f430(x5453,x5454,x5455,x5456,x5457,x5452,x5458))
% 163.96/163.66 [546]~E(x5461,x5462)+E(f430(x5463,x5464,x5465,x5466,x5467,x5468,x5461),f430(x5463,x5464,x5465,x5466,x5467,x5468,x5462))
% 163.96/163.66 [547]~E(x5471,x5472)+E(f55(x5471,x5473,x5474),f55(x5472,x5473,x5474))
% 163.96/163.66 [548]~E(x5481,x5482)+E(f55(x5483,x5481,x5484),f55(x5483,x5482,x5484))
% 163.96/163.66 [549]~E(x5491,x5492)+E(f55(x5493,x5494,x5491),f55(x5493,x5494,x5492))
% 163.96/163.66 [550]~E(x5501,x5502)+E(f391(x5501,x5503,x5504),f391(x5502,x5503,x5504))
% 163.96/163.66 [551]~E(x5511,x5512)+E(f391(x5513,x5511,x5514),f391(x5513,x5512,x5514))
% 163.96/163.66 [552]~E(x5521,x5522)+E(f391(x5523,x5524,x5521),f391(x5523,x5524,x5522))
% 163.96/163.66 [553]~E(x5531,x5532)+E(f720(x5531,x5533,x5534,x5535),f720(x5532,x5533,x5534,x5535))
% 163.96/163.66 [554]~E(x5541,x5542)+E(f720(x5543,x5541,x5544,x5545),f720(x5543,x5542,x5544,x5545))
% 163.96/163.66 [555]~E(x5551,x5552)+E(f720(x5553,x5554,x5551,x5555),f720(x5553,x5554,x5552,x5555))
% 163.96/163.66 [556]~E(x5561,x5562)+E(f720(x5563,x5564,x5565,x5561),f720(x5563,x5564,x5565,x5562))
% 163.96/163.66 [557]~E(x5571,x5572)+E(f138(x5571,x5573,x5574),f138(x5572,x5573,x5574))
% 163.96/163.66 [558]~E(x5581,x5582)+E(f138(x5583,x5581,x5584),f138(x5583,x5582,x5584))
% 163.96/163.66 [559]~E(x5591,x5592)+E(f138(x5593,x5594,x5591),f138(x5593,x5594,x5592))
% 163.96/163.66 [560]~E(x5601,x5602)+E(f479(x5601,x5603),f479(x5602,x5603))
% 163.96/163.66 [561]~E(x5611,x5612)+E(f479(x5613,x5611),f479(x5613,x5612))
% 163.96/163.66 [562]~E(x5621,x5622)+E(f511(x5621,x5623,x5624,x5625,x5626,x5627,x5628),f511(x5622,x5623,x5624,x5625,x5626,x5627,x5628))
% 163.96/163.66 [563]~E(x5631,x5632)+E(f511(x5633,x5631,x5634,x5635,x5636,x5637,x5638),f511(x5633,x5632,x5634,x5635,x5636,x5637,x5638))
% 163.96/163.66 [564]~E(x5641,x5642)+E(f511(x5643,x5644,x5641,x5645,x5646,x5647,x5648),f511(x5643,x5644,x5642,x5645,x5646,x5647,x5648))
% 163.96/163.66 [565]~E(x5651,x5652)+E(f511(x5653,x5654,x5655,x5651,x5656,x5657,x5658),f511(x5653,x5654,x5655,x5652,x5656,x5657,x5658))
% 163.96/163.66 [566]~E(x5661,x5662)+E(f511(x5663,x5664,x5665,x5666,x5661,x5667,x5668),f511(x5663,x5664,x5665,x5666,x5662,x5667,x5668))
% 163.96/163.66 [567]~E(x5671,x5672)+E(f511(x5673,x5674,x5675,x5676,x5677,x5671,x5678),f511(x5673,x5674,x5675,x5676,x5677,x5672,x5678))
% 163.96/163.66 [568]~E(x5681,x5682)+E(f511(x5683,x5684,x5685,x5686,x5687,x5688,x5681),f511(x5683,x5684,x5685,x5686,x5687,x5688,x5682))
% 163.96/163.66 [569]~E(x5691,x5692)+E(f592(x5691,x5693,x5694,x5695,x5696,x5697),f592(x5692,x5693,x5694,x5695,x5696,x5697))
% 163.96/163.66 [570]~E(x5701,x5702)+E(f592(x5703,x5701,x5704,x5705,x5706,x5707),f592(x5703,x5702,x5704,x5705,x5706,x5707))
% 163.96/163.66 [571]~E(x5711,x5712)+E(f592(x5713,x5714,x5711,x5715,x5716,x5717),f592(x5713,x5714,x5712,x5715,x5716,x5717))
% 163.96/163.66 [572]~E(x5721,x5722)+E(f592(x5723,x5724,x5725,x5721,x5726,x5727),f592(x5723,x5724,x5725,x5722,x5726,x5727))
% 163.96/163.66 [573]~E(x5731,x5732)+E(f592(x5733,x5734,x5735,x5736,x5731,x5737),f592(x5733,x5734,x5735,x5736,x5732,x5737))
% 163.96/163.66 [574]~E(x5741,x5742)+E(f592(x5743,x5744,x5745,x5746,x5747,x5741),f592(x5743,x5744,x5745,x5746,x5747,x5742))
% 163.96/163.66 [575]~E(x5751,x5752)+E(f12(x5751,x5753,x5754),f12(x5752,x5753,x5754))
% 163.96/163.66 [576]~E(x5761,x5762)+E(f12(x5763,x5761,x5764),f12(x5763,x5762,x5764))
% 163.96/163.66 [577]~E(x5771,x5772)+E(f12(x5773,x5774,x5771),f12(x5773,x5774,x5772))
% 163.96/163.66 [578]~E(x5781,x5782)+E(f892(x5781,x5783,x5784),f892(x5782,x5783,x5784))
% 163.96/163.66 [579]~E(x5791,x5792)+E(f892(x5793,x5791,x5794),f892(x5793,x5792,x5794))
% 163.96/163.66 [580]~E(x5801,x5802)+E(f892(x5803,x5804,x5801),f892(x5803,x5804,x5802))
% 163.96/163.66 [581]~E(x5811,x5812)+E(f703(x5811,x5813,x5814),f703(x5812,x5813,x5814))
% 163.96/163.66 [582]~E(x5821,x5822)+E(f703(x5823,x5821,x5824),f703(x5823,x5822,x5824))
% 163.96/163.66 [583]~E(x5831,x5832)+E(f703(x5833,x5834,x5831),f703(x5833,x5834,x5832))
% 163.96/163.66 [584]~E(x5841,x5842)+E(f585(x5841,x5843,x5844,x5845,x5846,x5847,x5848,x5849),f585(x5842,x5843,x5844,x5845,x5846,x5847,x5848,x5849))
% 163.96/163.66 [585]~E(x5851,x5852)+E(f585(x5853,x5851,x5854,x5855,x5856,x5857,x5858,x5859),f585(x5853,x5852,x5854,x5855,x5856,x5857,x5858,x5859))
% 163.96/163.66 [586]~E(x5861,x5862)+E(f585(x5863,x5864,x5861,x5865,x5866,x5867,x5868,x5869),f585(x5863,x5864,x5862,x5865,x5866,x5867,x5868,x5869))
% 163.96/163.66 [587]~E(x5871,x5872)+E(f585(x5873,x5874,x5875,x5871,x5876,x5877,x5878,x5879),f585(x5873,x5874,x5875,x5872,x5876,x5877,x5878,x5879))
% 163.96/163.66 [588]~E(x5881,x5882)+E(f585(x5883,x5884,x5885,x5886,x5881,x5887,x5888,x5889),f585(x5883,x5884,x5885,x5886,x5882,x5887,x5888,x5889))
% 163.96/163.66 [589]~E(x5891,x5892)+E(f585(x5893,x5894,x5895,x5896,x5897,x5891,x5898,x5899),f585(x5893,x5894,x5895,x5896,x5897,x5892,x5898,x5899))
% 163.96/163.66 [590]~E(x5901,x5902)+E(f585(x5903,x5904,x5905,x5906,x5907,x5908,x5901,x5909),f585(x5903,x5904,x5905,x5906,x5907,x5908,x5902,x5909))
% 163.96/163.66 [591]~E(x5911,x5912)+E(f585(x5913,x5914,x5915,x5916,x5917,x5918,x5919,x5911),f585(x5913,x5914,x5915,x5916,x5917,x5918,x5919,x5912))
% 163.96/163.66 [592]~E(x5921,x5922)+E(f483(x5921,x5923,x5924,x5925),f483(x5922,x5923,x5924,x5925))
% 163.96/163.66 [593]~E(x5931,x5932)+E(f483(x5933,x5931,x5934,x5935),f483(x5933,x5932,x5934,x5935))
% 163.96/163.66 [594]~E(x5941,x5942)+E(f483(x5943,x5944,x5941,x5945),f483(x5943,x5944,x5942,x5945))
% 163.96/163.66 [595]~E(x5951,x5952)+E(f483(x5953,x5954,x5955,x5951),f483(x5953,x5954,x5955,x5952))
% 163.96/163.66 [596]~E(x5961,x5962)+E(f274(x5961,x5963,x5964),f274(x5962,x5963,x5964))
% 163.96/163.66 [597]~E(x5971,x5972)+E(f274(x5973,x5971,x5974),f274(x5973,x5972,x5974))
% 163.96/163.66 [598]~E(x5981,x5982)+E(f274(x5983,x5984,x5981),f274(x5983,x5984,x5982))
% 163.96/163.66 [599]~E(x5991,x5992)+E(f361(x5991,x5993,x5994),f361(x5992,x5993,x5994))
% 163.96/163.66 [600]~E(x6001,x6002)+E(f361(x6003,x6001,x6004),f361(x6003,x6002,x6004))
% 163.96/163.66 [601]~E(x6011,x6012)+E(f361(x6013,x6014,x6011),f361(x6013,x6014,x6012))
% 163.96/163.66 [602]~E(x6021,x6022)+E(f118(x6021,x6023),f118(x6022,x6023))
% 163.96/163.66 [603]~E(x6031,x6032)+E(f118(x6033,x6031),f118(x6033,x6032))
% 163.96/163.66 [604]~E(x6041,x6042)+E(f420(x6041,x6043,x6044,x6045,x6046,x6047,x6048),f420(x6042,x6043,x6044,x6045,x6046,x6047,x6048))
% 163.96/163.66 [605]~E(x6051,x6052)+E(f420(x6053,x6051,x6054,x6055,x6056,x6057,x6058),f420(x6053,x6052,x6054,x6055,x6056,x6057,x6058))
% 163.96/163.66 [606]~E(x6061,x6062)+E(f420(x6063,x6064,x6061,x6065,x6066,x6067,x6068),f420(x6063,x6064,x6062,x6065,x6066,x6067,x6068))
% 163.96/163.66 [607]~E(x6071,x6072)+E(f420(x6073,x6074,x6075,x6071,x6076,x6077,x6078),f420(x6073,x6074,x6075,x6072,x6076,x6077,x6078))
% 163.96/163.66 [608]~E(x6081,x6082)+E(f420(x6083,x6084,x6085,x6086,x6081,x6087,x6088),f420(x6083,x6084,x6085,x6086,x6082,x6087,x6088))
% 163.96/163.66 [609]~E(x6091,x6092)+E(f420(x6093,x6094,x6095,x6096,x6097,x6091,x6098),f420(x6093,x6094,x6095,x6096,x6097,x6092,x6098))
% 163.96/163.66 [610]~E(x6101,x6102)+E(f420(x6103,x6104,x6105,x6106,x6107,x6108,x6101),f420(x6103,x6104,x6105,x6106,x6107,x6108,x6102))
% 163.96/163.66 [611]~E(x6111,x6112)+E(f49(x6111),f49(x6112))
% 163.96/163.66 [612]~E(x6121,x6122)+E(f764(x6121,x6123,x6124,x6125),f764(x6122,x6123,x6124,x6125))
% 163.96/163.66 [613]~E(x6131,x6132)+E(f764(x6133,x6131,x6134,x6135),f764(x6133,x6132,x6134,x6135))
% 163.96/163.66 [614]~E(x6141,x6142)+E(f764(x6143,x6144,x6141,x6145),f764(x6143,x6144,x6142,x6145))
% 163.96/163.66 [615]~E(x6151,x6152)+E(f764(x6153,x6154,x6155,x6151),f764(x6153,x6154,x6155,x6152))
% 163.96/163.66 [616]~E(x6161,x6162)+E(f15(x6161,x6163),f15(x6162,x6163))
% 163.96/163.66 [617]~E(x6171,x6172)+E(f15(x6173,x6171),f15(x6173,x6172))
% 163.96/163.66 [618]~E(x6181,x6182)+E(f156(x6181,x6183,x6184),f156(x6182,x6183,x6184))
% 163.96/163.66 [619]~E(x6191,x6192)+E(f156(x6193,x6191,x6194),f156(x6193,x6192,x6194))
% 163.96/163.66 [620]~E(x6201,x6202)+E(f156(x6203,x6204,x6201),f156(x6203,x6204,x6202))
% 163.96/163.66 [621]~E(x6211,x6212)+E(f484(x6211,x6213,x6214,x6215),f484(x6212,x6213,x6214,x6215))
% 163.96/163.66 [622]~E(x6221,x6222)+E(f484(x6223,x6221,x6224,x6225),f484(x6223,x6222,x6224,x6225))
% 163.96/163.66 [623]~E(x6231,x6232)+E(f484(x6233,x6234,x6231,x6235),f484(x6233,x6234,x6232,x6235))
% 163.96/163.66 [624]~E(x6241,x6242)+E(f484(x6243,x6244,x6245,x6241),f484(x6243,x6244,x6245,x6242))
% 163.96/163.66 [625]~E(x6251,x6252)+E(f614(x6251,x6253,x6254,x6255,x6256),f614(x6252,x6253,x6254,x6255,x6256))
% 163.96/163.66 [626]~E(x6261,x6262)+E(f614(x6263,x6261,x6264,x6265,x6266),f614(x6263,x6262,x6264,x6265,x6266))
% 163.96/163.66 [627]~E(x6271,x6272)+E(f614(x6273,x6274,x6271,x6275,x6276),f614(x6273,x6274,x6272,x6275,x6276))
% 163.96/163.66 [628]~E(x6281,x6282)+E(f614(x6283,x6284,x6285,x6281,x6286),f614(x6283,x6284,x6285,x6282,x6286))
% 163.96/163.66 [629]~E(x6291,x6292)+E(f614(x6293,x6294,x6295,x6296,x6291),f614(x6293,x6294,x6295,x6296,x6292))
% 163.96/163.66 [630]~E(x6301,x6302)+E(f593(x6301,x6303,x6304),f593(x6302,x6303,x6304))
% 163.96/163.66 [631]~E(x6311,x6312)+E(f593(x6313,x6311,x6314),f593(x6313,x6312,x6314))
% 163.96/163.66 [632]~E(x6321,x6322)+E(f593(x6323,x6324,x6321),f593(x6323,x6324,x6322))
% 163.96/163.66 [633]~E(x6331,x6332)+E(f445(x6331,x6333,x6334),f445(x6332,x6333,x6334))
% 163.96/163.66 [634]~E(x6341,x6342)+E(f445(x6343,x6341,x6344),f445(x6343,x6342,x6344))
% 163.96/163.66 [635]~E(x6351,x6352)+E(f445(x6353,x6354,x6351),f445(x6353,x6354,x6352))
% 163.96/163.66 [636]~E(x6361,x6362)+E(f370(x6361,x6363),f370(x6362,x6363))
% 163.96/163.66 [637]~E(x6371,x6372)+E(f370(x6373,x6371),f370(x6373,x6372))
% 163.96/163.66 [638]~E(x6381,x6382)+E(f381(x6381,x6383,x6384),f381(x6382,x6383,x6384))
% 163.96/163.66 [639]~E(x6391,x6392)+E(f381(x6393,x6391,x6394),f381(x6393,x6392,x6394))
% 163.96/163.66 [640]~E(x6401,x6402)+E(f381(x6403,x6404,x6401),f381(x6403,x6404,x6402))
% 163.96/163.66 [641]~E(x6411,x6412)+E(f580(x6411,x6413,x6414,x6415,x6416,x6417),f580(x6412,x6413,x6414,x6415,x6416,x6417))
% 163.96/163.66 [642]~E(x6421,x6422)+E(f580(x6423,x6421,x6424,x6425,x6426,x6427),f580(x6423,x6422,x6424,x6425,x6426,x6427))
% 163.96/163.66 [643]~E(x6431,x6432)+E(f580(x6433,x6434,x6431,x6435,x6436,x6437),f580(x6433,x6434,x6432,x6435,x6436,x6437))
% 163.96/163.66 [644]~E(x6441,x6442)+E(f580(x6443,x6444,x6445,x6441,x6446,x6447),f580(x6443,x6444,x6445,x6442,x6446,x6447))
% 163.96/163.66 [645]~E(x6451,x6452)+E(f580(x6453,x6454,x6455,x6456,x6451,x6457),f580(x6453,x6454,x6455,x6456,x6452,x6457))
% 163.96/163.66 [646]~E(x6461,x6462)+E(f580(x6463,x6464,x6465,x6466,x6467,x6461),f580(x6463,x6464,x6465,x6466,x6467,x6462))
% 163.96/163.66 [647]~E(x6471,x6472)+E(f828(x6471,x6473,x6474,x6475,x6476,x6477,x6478,x6479),f828(x6472,x6473,x6474,x6475,x6476,x6477,x6478,x6479))
% 163.96/163.66 [648]~E(x6481,x6482)+E(f828(x6483,x6481,x6484,x6485,x6486,x6487,x6488,x6489),f828(x6483,x6482,x6484,x6485,x6486,x6487,x6488,x6489))
% 163.96/163.66 [649]~E(x6491,x6492)+E(f828(x6493,x6494,x6491,x6495,x6496,x6497,x6498,x6499),f828(x6493,x6494,x6492,x6495,x6496,x6497,x6498,x6499))
% 163.96/163.66 [650]~E(x6501,x6502)+E(f828(x6503,x6504,x6505,x6501,x6506,x6507,x6508,x6509),f828(x6503,x6504,x6505,x6502,x6506,x6507,x6508,x6509))
% 163.96/163.66 [651]~E(x6511,x6512)+E(f828(x6513,x6514,x6515,x6516,x6511,x6517,x6518,x6519),f828(x6513,x6514,x6515,x6516,x6512,x6517,x6518,x6519))
% 163.96/163.66 [652]~E(x6521,x6522)+E(f828(x6523,x6524,x6525,x6526,x6527,x6521,x6528,x6529),f828(x6523,x6524,x6525,x6526,x6527,x6522,x6528,x6529))
% 163.96/163.66 [653]~E(x6531,x6532)+E(f828(x6533,x6534,x6535,x6536,x6537,x6538,x6531,x6539),f828(x6533,x6534,x6535,x6536,x6537,x6538,x6532,x6539))
% 163.96/163.66 [654]~E(x6541,x6542)+E(f828(x6543,x6544,x6545,x6546,x6547,x6548,x6549,x6541),f828(x6543,x6544,x6545,x6546,x6547,x6548,x6549,x6542))
% 163.96/163.66 [655]~E(x6551,x6552)+E(f52(x6551,x6553,x6554,x6555),f52(x6552,x6553,x6554,x6555))
% 163.96/163.66 [656]~E(x6561,x6562)+E(f52(x6563,x6561,x6564,x6565),f52(x6563,x6562,x6564,x6565))
% 163.96/163.66 [657]~E(x6571,x6572)+E(f52(x6573,x6574,x6571,x6575),f52(x6573,x6574,x6572,x6575))
% 163.96/163.66 [658]~E(x6581,x6582)+E(f52(x6583,x6584,x6585,x6581),f52(x6583,x6584,x6585,x6582))
% 163.96/163.66 [659]~E(x6591,x6592)+E(f745(x6591,x6593,x6594),f745(x6592,x6593,x6594))
% 163.96/163.66 [660]~E(x6601,x6602)+E(f745(x6603,x6601,x6604),f745(x6603,x6602,x6604))
% 163.96/163.66 [661]~E(x6611,x6612)+E(f745(x6613,x6614,x6611),f745(x6613,x6614,x6612))
% 163.96/163.66 [662]~E(x6621,x6622)+E(f544(x6621,x6623,x6624,x6625,x6626),f544(x6622,x6623,x6624,x6625,x6626))
% 163.96/163.66 [663]~E(x6631,x6632)+E(f544(x6633,x6631,x6634,x6635,x6636),f544(x6633,x6632,x6634,x6635,x6636))
% 163.96/163.66 [664]~E(x6641,x6642)+E(f544(x6643,x6644,x6641,x6645,x6646),f544(x6643,x6644,x6642,x6645,x6646))
% 163.96/163.66 [665]~E(x6651,x6652)+E(f544(x6653,x6654,x6655,x6651,x6656),f544(x6653,x6654,x6655,x6652,x6656))
% 163.96/163.66 [666]~E(x6661,x6662)+E(f544(x6663,x6664,x6665,x6666,x6661),f544(x6663,x6664,x6665,x6666,x6662))
% 163.96/163.66 [667]~E(x6671,x6672)+E(f150(x6671,x6673),f150(x6672,x6673))
% 163.96/163.66 [668]~E(x6681,x6682)+E(f150(x6683,x6681),f150(x6683,x6682))
% 163.96/163.66 [669]~E(x6691,x6692)+E(f255(x6691,x6693),f255(x6692,x6693))
% 163.96/163.66 [670]~E(x6701,x6702)+E(f255(x6703,x6701),f255(x6703,x6702))
% 163.96/163.66 [671]~E(x6711,x6712)+E(f166(x6711,x6713,x6714),f166(x6712,x6713,x6714))
% 163.96/163.66 [672]~E(x6721,x6722)+E(f166(x6723,x6721,x6724),f166(x6723,x6722,x6724))
% 163.96/163.66 [673]~E(x6731,x6732)+E(f166(x6733,x6734,x6731),f166(x6733,x6734,x6732))
% 163.96/163.66 [674]~E(x6741,x6742)+E(f633(x6741,x6743,x6744,x6745),f633(x6742,x6743,x6744,x6745))
% 163.96/163.66 [675]~E(x6751,x6752)+E(f633(x6753,x6751,x6754,x6755),f633(x6753,x6752,x6754,x6755))
% 163.96/163.66 [676]~E(x6761,x6762)+E(f633(x6763,x6764,x6761,x6765),f633(x6763,x6764,x6762,x6765))
% 163.96/163.66 [677]~E(x6771,x6772)+E(f633(x6773,x6774,x6775,x6771),f633(x6773,x6774,x6775,x6772))
% 163.96/163.66 [678]~E(x6781,x6782)+E(f863(x6781,x6783,x6784,x6785,x6786,x6787,x6788),f863(x6782,x6783,x6784,x6785,x6786,x6787,x6788))
% 163.96/163.66 [679]~E(x6791,x6792)+E(f863(x6793,x6791,x6794,x6795,x6796,x6797,x6798),f863(x6793,x6792,x6794,x6795,x6796,x6797,x6798))
% 163.96/163.66 [680]~E(x6801,x6802)+E(f863(x6803,x6804,x6801,x6805,x6806,x6807,x6808),f863(x6803,x6804,x6802,x6805,x6806,x6807,x6808))
% 163.96/163.66 [681]~E(x6811,x6812)+E(f863(x6813,x6814,x6815,x6811,x6816,x6817,x6818),f863(x6813,x6814,x6815,x6812,x6816,x6817,x6818))
% 163.96/163.66 [682]~E(x6821,x6822)+E(f863(x6823,x6824,x6825,x6826,x6821,x6827,x6828),f863(x6823,x6824,x6825,x6826,x6822,x6827,x6828))
% 163.96/163.66 [683]~E(x6831,x6832)+E(f863(x6833,x6834,x6835,x6836,x6837,x6831,x6838),f863(x6833,x6834,x6835,x6836,x6837,x6832,x6838))
% 163.96/163.66 [684]~E(x6841,x6842)+E(f863(x6843,x6844,x6845,x6846,x6847,x6848,x6841),f863(x6843,x6844,x6845,x6846,x6847,x6848,x6842))
% 163.96/163.66 [685]~E(x6851,x6852)+E(f618(x6851,x6853,x6854,x6855,x6856),f618(x6852,x6853,x6854,x6855,x6856))
% 163.96/163.66 [686]~E(x6861,x6862)+E(f618(x6863,x6861,x6864,x6865,x6866),f618(x6863,x6862,x6864,x6865,x6866))
% 163.96/163.66 [687]~E(x6871,x6872)+E(f618(x6873,x6874,x6871,x6875,x6876),f618(x6873,x6874,x6872,x6875,x6876))
% 163.96/163.66 [688]~E(x6881,x6882)+E(f618(x6883,x6884,x6885,x6881,x6886),f618(x6883,x6884,x6885,x6882,x6886))
% 163.96/163.66 [689]~E(x6891,x6892)+E(f618(x6893,x6894,x6895,x6896,x6891),f618(x6893,x6894,x6895,x6896,x6892))
% 163.96/163.66 [690]~E(x6901,x6902)+E(f876(x6901,x6903,x6904,x6905,x6906,x6907,x6908,x6909),f876(x6902,x6903,x6904,x6905,x6906,x6907,x6908,x6909))
% 163.96/163.66 [691]~E(x6911,x6912)+E(f876(x6913,x6911,x6914,x6915,x6916,x6917,x6918,x6919),f876(x6913,x6912,x6914,x6915,x6916,x6917,x6918,x6919))
% 163.96/163.66 [692]~E(x6921,x6922)+E(f876(x6923,x6924,x6921,x6925,x6926,x6927,x6928,x6929),f876(x6923,x6924,x6922,x6925,x6926,x6927,x6928,x6929))
% 163.96/163.66 [693]~E(x6931,x6932)+E(f876(x6933,x6934,x6935,x6931,x6936,x6937,x6938,x6939),f876(x6933,x6934,x6935,x6932,x6936,x6937,x6938,x6939))
% 163.96/163.66 [694]~E(x6941,x6942)+E(f876(x6943,x6944,x6945,x6946,x6941,x6947,x6948,x6949),f876(x6943,x6944,x6945,x6946,x6942,x6947,x6948,x6949))
% 163.96/163.66 [695]~E(x6951,x6952)+E(f876(x6953,x6954,x6955,x6956,x6957,x6951,x6958,x6959),f876(x6953,x6954,x6955,x6956,x6957,x6952,x6958,x6959))
% 163.96/163.66 [696]~E(x6961,x6962)+E(f876(x6963,x6964,x6965,x6966,x6967,x6968,x6961,x6969),f876(x6963,x6964,x6965,x6966,x6967,x6968,x6962,x6969))
% 163.96/163.66 [697]~E(x6971,x6972)+E(f876(x6973,x6974,x6975,x6976,x6977,x6978,x6979,x6971),f876(x6973,x6974,x6975,x6976,x6977,x6978,x6979,x6972))
% 163.96/163.66 [698]~E(x6981,x6982)+E(f586(x6981,x6983,x6984),f586(x6982,x6983,x6984))
% 163.96/163.66 [699]~E(x6991,x6992)+E(f586(x6993,x6991,x6994),f586(x6993,x6992,x6994))
% 163.96/163.66 [700]~E(x7001,x7002)+E(f586(x7003,x7004,x7001),f586(x7003,x7004,x7002))
% 163.96/163.66 [701]~E(x7011,x7012)+E(f288(x7011,x7013,x7014,x7015),f288(x7012,x7013,x7014,x7015))
% 163.96/163.66 [702]~E(x7021,x7022)+E(f288(x7023,x7021,x7024,x7025),f288(x7023,x7022,x7024,x7025))
% 163.96/163.66 [703]~E(x7031,x7032)+E(f288(x7033,x7034,x7031,x7035),f288(x7033,x7034,x7032,x7035))
% 163.96/163.66 [704]~E(x7041,x7042)+E(f288(x7043,x7044,x7045,x7041),f288(x7043,x7044,x7045,x7042))
% 163.96/163.66 [705]~E(x7051,x7052)+E(f531(x7051,x7053,x7054,x7055),f531(x7052,x7053,x7054,x7055))
% 163.96/163.66 [706]~E(x7061,x7062)+E(f531(x7063,x7061,x7064,x7065),f531(x7063,x7062,x7064,x7065))
% 163.96/163.66 [707]~E(x7071,x7072)+E(f531(x7073,x7074,x7071,x7075),f531(x7073,x7074,x7072,x7075))
% 163.96/163.66 [708]~E(x7081,x7082)+E(f531(x7083,x7084,x7085,x7081),f531(x7083,x7084,x7085,x7082))
% 163.96/163.66 [709]~E(x7091,x7092)+E(f638(x7091,x7093,x7094,x7095),f638(x7092,x7093,x7094,x7095))
% 163.96/163.66 [710]~E(x7101,x7102)+E(f638(x7103,x7101,x7104,x7105),f638(x7103,x7102,x7104,x7105))
% 163.96/163.66 [711]~E(x7111,x7112)+E(f638(x7113,x7114,x7111,x7115),f638(x7113,x7114,x7112,x7115))
% 163.96/163.66 [712]~E(x7121,x7122)+E(f638(x7123,x7124,x7125,x7121),f638(x7123,x7124,x7125,x7122))
% 163.96/163.66 [713]~E(x7131,x7132)+E(f248(x7131,x7133,x7134,x7135),f248(x7132,x7133,x7134,x7135))
% 163.96/163.66 [714]~E(x7141,x7142)+E(f248(x7143,x7141,x7144,x7145),f248(x7143,x7142,x7144,x7145))
% 163.96/163.66 [715]~E(x7151,x7152)+E(f248(x7153,x7154,x7151,x7155),f248(x7153,x7154,x7152,x7155))
% 163.96/163.66 [716]~E(x7161,x7162)+E(f248(x7163,x7164,x7165,x7161),f248(x7163,x7164,x7165,x7162))
% 163.96/163.66 [717]~E(x7171,x7172)+E(f795(x7171,x7173),f795(x7172,x7173))
% 163.96/163.66 [718]~E(x7181,x7182)+E(f795(x7183,x7181),f795(x7183,x7182))
% 163.96/163.66 [719]~E(x7191,x7192)+E(f323(x7191,x7193),f323(x7192,x7193))
% 163.96/163.66 [720]~E(x7201,x7202)+E(f323(x7203,x7201),f323(x7203,x7202))
% 163.96/163.66 [721]~E(x7211,x7212)+E(f696(x7211,x7213,x7214),f696(x7212,x7213,x7214))
% 163.96/163.66 [722]~E(x7221,x7222)+E(f696(x7223,x7221,x7224),f696(x7223,x7222,x7224))
% 163.96/163.66 [723]~E(x7231,x7232)+E(f696(x7233,x7234,x7231),f696(x7233,x7234,x7232))
% 163.96/163.66 [724]~E(x7241,x7242)+E(f184(x7241,x7243),f184(x7242,x7243))
% 163.96/163.66 [725]~E(x7251,x7252)+E(f184(x7253,x7251),f184(x7253,x7252))
% 163.96/163.66 [726]~E(x7261,x7262)+E(f202(x7261),f202(x7262))
% 163.96/163.66 [727]~E(x7271,x7272)+E(f432(x7271,x7273),f432(x7272,x7273))
% 163.96/163.66 [728]~E(x7281,x7282)+E(f432(x7283,x7281),f432(x7283,x7282))
% 163.96/163.66 [729]~E(x7291,x7292)+E(f490(x7291,x7293),f490(x7292,x7293))
% 163.96/163.66 [730]~E(x7301,x7302)+E(f490(x7303,x7301),f490(x7303,x7302))
% 163.96/163.66 [731]~E(x7311,x7312)+E(f285(x7311,x7313,x7314),f285(x7312,x7313,x7314))
% 163.96/163.66 [732]~E(x7321,x7322)+E(f285(x7323,x7321,x7324),f285(x7323,x7322,x7324))
% 163.96/163.66 [733]~E(x7331,x7332)+E(f285(x7333,x7334,x7331),f285(x7333,x7334,x7332))
% 163.96/163.66 [734]~E(x7341,x7342)+E(f679(x7341,x7343,x7344,x7345),f679(x7342,x7343,x7344,x7345))
% 163.96/163.66 [735]~E(x7351,x7352)+E(f679(x7353,x7351,x7354,x7355),f679(x7353,x7352,x7354,x7355))
% 163.96/163.66 [736]~E(x7361,x7362)+E(f679(x7363,x7364,x7361,x7365),f679(x7363,x7364,x7362,x7365))
% 163.96/163.66 [737]~E(x7371,x7372)+E(f679(x7373,x7374,x7375,x7371),f679(x7373,x7374,x7375,x7372))
% 163.96/163.66 [738]~E(x7381,x7382)+E(f200(x7381,x7383,x7384,x7385),f200(x7382,x7383,x7384,x7385))
% 163.96/163.66 [739]~E(x7391,x7392)+E(f200(x7393,x7391,x7394,x7395),f200(x7393,x7392,x7394,x7395))
% 163.96/163.66 [740]~E(x7401,x7402)+E(f200(x7403,x7404,x7401,x7405),f200(x7403,x7404,x7402,x7405))
% 163.96/163.66 [741]~E(x7411,x7412)+E(f200(x7413,x7414,x7415,x7411),f200(x7413,x7414,x7415,x7412))
% 163.96/163.66 [742]~E(x7421,x7422)+E(f815(x7421,x7423,x7424),f815(x7422,x7423,x7424))
% 163.96/163.66 [743]~E(x7431,x7432)+E(f815(x7433,x7431,x7434),f815(x7433,x7432,x7434))
% 163.96/163.66 [744]~E(x7441,x7442)+E(f815(x7443,x7444,x7441),f815(x7443,x7444,x7442))
% 163.96/163.66 [745]~E(x7451,x7452)+E(f762(x7451,x7453,x7454),f762(x7452,x7453,x7454))
% 163.96/163.66 [746]~E(x7461,x7462)+E(f762(x7463,x7461,x7464),f762(x7463,x7462,x7464))
% 163.96/163.66 [747]~E(x7471,x7472)+E(f762(x7473,x7474,x7471),f762(x7473,x7474,x7472))
% 163.96/163.66 [748]~E(x7481,x7482)+E(f779(x7481,x7483,x7484,x7485),f779(x7482,x7483,x7484,x7485))
% 163.96/163.66 [749]~E(x7491,x7492)+E(f779(x7493,x7491,x7494,x7495),f779(x7493,x7492,x7494,x7495))
% 163.96/163.66 [750]~E(x7501,x7502)+E(f779(x7503,x7504,x7501,x7505),f779(x7503,x7504,x7502,x7505))
% 163.96/163.66 [751]~E(x7511,x7512)+E(f779(x7513,x7514,x7515,x7511),f779(x7513,x7514,x7515,x7512))
% 163.96/163.66 [752]~E(x7521,x7522)+E(f850(x7521,x7523,x7524,x7525,x7526,x7527,x7528),f850(x7522,x7523,x7524,x7525,x7526,x7527,x7528))
% 163.96/163.66 [753]~E(x7531,x7532)+E(f850(x7533,x7531,x7534,x7535,x7536,x7537,x7538),f850(x7533,x7532,x7534,x7535,x7536,x7537,x7538))
% 163.96/163.66 [754]~E(x7541,x7542)+E(f850(x7543,x7544,x7541,x7545,x7546,x7547,x7548),f850(x7543,x7544,x7542,x7545,x7546,x7547,x7548))
% 163.96/163.66 [755]~E(x7551,x7552)+E(f850(x7553,x7554,x7555,x7551,x7556,x7557,x7558),f850(x7553,x7554,x7555,x7552,x7556,x7557,x7558))
% 163.96/163.66 [756]~E(x7561,x7562)+E(f850(x7563,x7564,x7565,x7566,x7561,x7567,x7568),f850(x7563,x7564,x7565,x7566,x7562,x7567,x7568))
% 163.96/163.66 [757]~E(x7571,x7572)+E(f850(x7573,x7574,x7575,x7576,x7577,x7571,x7578),f850(x7573,x7574,x7575,x7576,x7577,x7572,x7578))
% 163.96/163.66 [758]~E(x7581,x7582)+E(f850(x7583,x7584,x7585,x7586,x7587,x7588,x7581),f850(x7583,x7584,x7585,x7586,x7587,x7588,x7582))
% 163.96/163.66 [759]~E(x7591,x7592)+E(f604(x7591,x7593),f604(x7592,x7593))
% 163.96/163.66 [760]~E(x7601,x7602)+E(f604(x7603,x7601),f604(x7603,x7602))
% 163.96/163.66 [761]~E(x7611,x7612)+E(f340(x7611,x7613,x7614),f340(x7612,x7613,x7614))
% 163.96/163.66 [762]~E(x7621,x7622)+E(f340(x7623,x7621,x7624),f340(x7623,x7622,x7624))
% 163.96/163.66 [763]~E(x7631,x7632)+E(f340(x7633,x7634,x7631),f340(x7633,x7634,x7632))
% 163.96/163.66 [764]~E(x7641,x7642)+E(f847(x7641,x7643,x7644),f847(x7642,x7643,x7644))
% 163.96/163.66 [765]~E(x7651,x7652)+E(f847(x7653,x7651,x7654),f847(x7653,x7652,x7654))
% 163.96/163.66 [766]~E(x7661,x7662)+E(f847(x7663,x7664,x7661),f847(x7663,x7664,x7662))
% 163.96/163.66 [767]~E(x7671,x7672)+E(f646(x7671,x7673,x7674,x7675,x7676),f646(x7672,x7673,x7674,x7675,x7676))
% 163.96/163.66 [768]~E(x7681,x7682)+E(f646(x7683,x7681,x7684,x7685,x7686),f646(x7683,x7682,x7684,x7685,x7686))
% 163.96/163.66 [769]~E(x7691,x7692)+E(f646(x7693,x7694,x7691,x7695,x7696),f646(x7693,x7694,x7692,x7695,x7696))
% 163.96/163.66 [770]~E(x7701,x7702)+E(f646(x7703,x7704,x7705,x7701,x7706),f646(x7703,x7704,x7705,x7702,x7706))
% 163.96/163.66 [771]~E(x7711,x7712)+E(f646(x7713,x7714,x7715,x7716,x7711),f646(x7713,x7714,x7715,x7716,x7712))
% 163.96/163.66 [772]~E(x7721,x7722)+E(f794(x7721,x7723),f794(x7722,x7723))
% 163.96/163.66 [773]~E(x7731,x7732)+E(f794(x7733,x7731),f794(x7733,x7732))
% 163.96/163.66 [774]~E(x7741,x7742)+E(f236(x7741,x7743,x7744),f236(x7742,x7743,x7744))
% 163.96/163.66 [775]~E(x7751,x7752)+E(f236(x7753,x7751,x7754),f236(x7753,x7752,x7754))
% 163.96/163.66 [776]~E(x7761,x7762)+E(f236(x7763,x7764,x7761),f236(x7763,x7764,x7762))
% 163.96/163.66 [777]~E(x7771,x7772)+E(f810(x7771,x7773),f810(x7772,x7773))
% 163.96/163.66 [778]~E(x7781,x7782)+E(f810(x7783,x7781),f810(x7783,x7782))
% 163.96/163.66 [779]~E(x7791,x7792)+E(f380(x7791,x7793,x7794),f380(x7792,x7793,x7794))
% 163.96/163.66 [780]~E(x7801,x7802)+E(f380(x7803,x7801,x7804),f380(x7803,x7802,x7804))
% 163.96/163.66 [781]~E(x7811,x7812)+E(f380(x7813,x7814,x7811),f380(x7813,x7814,x7812))
% 163.96/163.66 [782]~E(x7821,x7822)+E(f695(x7821,x7823,x7824),f695(x7822,x7823,x7824))
% 163.96/163.66 [783]~E(x7831,x7832)+E(f695(x7833,x7831,x7834),f695(x7833,x7832,x7834))
% 163.96/163.66 [784]~E(x7841,x7842)+E(f695(x7843,x7844,x7841),f695(x7843,x7844,x7842))
% 163.96/163.66 [785]~E(x7851,x7852)+E(f116(x7851,x7853,x7854),f116(x7852,x7853,x7854))
% 163.96/163.66 [786]~E(x7861,x7862)+E(f116(x7863,x7861,x7864),f116(x7863,x7862,x7864))
% 163.96/163.66 [787]~E(x7871,x7872)+E(f116(x7873,x7874,x7871),f116(x7873,x7874,x7872))
% 163.96/163.66 [788]~E(x7881,x7882)+E(f824(x7881,x7883,x7884,x7885),f824(x7882,x7883,x7884,x7885))
% 163.96/163.66 [789]~E(x7891,x7892)+E(f824(x7893,x7891,x7894,x7895),f824(x7893,x7892,x7894,x7895))
% 163.96/163.66 [790]~E(x7901,x7902)+E(f824(x7903,x7904,x7901,x7905),f824(x7903,x7904,x7902,x7905))
% 163.96/163.66 [791]~E(x7911,x7912)+E(f824(x7913,x7914,x7915,x7911),f824(x7913,x7914,x7915,x7912))
% 163.96/163.66 [792]~E(x7921,x7922)+E(f758(x7921,x7923,x7924,x7925,x7926),f758(x7922,x7923,x7924,x7925,x7926))
% 163.96/163.66 [793]~E(x7931,x7932)+E(f758(x7933,x7931,x7934,x7935,x7936),f758(x7933,x7932,x7934,x7935,x7936))
% 163.96/163.66 [794]~E(x7941,x7942)+E(f758(x7943,x7944,x7941,x7945,x7946),f758(x7943,x7944,x7942,x7945,x7946))
% 163.96/163.66 [795]~E(x7951,x7952)+E(f758(x7953,x7954,x7955,x7951,x7956),f758(x7953,x7954,x7955,x7952,x7956))
% 163.96/163.66 [796]~E(x7961,x7962)+E(f758(x7963,x7964,x7965,x7966,x7961),f758(x7963,x7964,x7965,x7966,x7962))
% 163.96/163.66 [797]~E(x7971,x7972)+E(f191(x7971),f191(x7972))
% 163.96/163.66 [798]~E(x7981,x7982)+E(f734(x7981,x7983,x7984,x7985),f734(x7982,x7983,x7984,x7985))
% 163.96/163.66 [799]~E(x7991,x7992)+E(f734(x7993,x7991,x7994,x7995),f734(x7993,x7992,x7994,x7995))
% 163.96/163.66 [800]~E(x8001,x8002)+E(f734(x8003,x8004,x8001,x8005),f734(x8003,x8004,x8002,x8005))
% 163.96/163.66 [801]~E(x8011,x8012)+E(f734(x8013,x8014,x8015,x8011),f734(x8013,x8014,x8015,x8012))
% 163.96/163.66 [802]~E(x8021,x8022)+E(f352(x8021,x8023,x8024,x8025),f352(x8022,x8023,x8024,x8025))
% 163.96/163.66 [803]~E(x8031,x8032)+E(f352(x8033,x8031,x8034,x8035),f352(x8033,x8032,x8034,x8035))
% 163.96/163.66 [804]~E(x8041,x8042)+E(f352(x8043,x8044,x8041,x8045),f352(x8043,x8044,x8042,x8045))
% 163.96/163.66 [805]~E(x8051,x8052)+E(f352(x8053,x8054,x8055,x8051),f352(x8053,x8054,x8055,x8052))
% 163.96/163.66 [806]~E(x8061,x8062)+E(f122(x8061,x8063),f122(x8062,x8063))
% 163.96/163.66 [807]~E(x8071,x8072)+E(f122(x8073,x8071),f122(x8073,x8072))
% 163.96/163.66 [808]~E(x8081,x8082)+E(f385(x8081,x8083,x8084),f385(x8082,x8083,x8084))
% 163.96/163.66 [809]~E(x8091,x8092)+E(f385(x8093,x8091,x8094),f385(x8093,x8092,x8094))
% 163.96/163.66 [810]~E(x8101,x8102)+E(f385(x8103,x8104,x8101),f385(x8103,x8104,x8102))
% 163.96/163.66 [811]~E(x8111,x8112)+E(f753(x8111,x8113,x8114),f753(x8112,x8113,x8114))
% 163.96/163.66 [812]~E(x8121,x8122)+E(f753(x8123,x8121,x8124),f753(x8123,x8122,x8124))
% 163.96/163.66 [813]~E(x8131,x8132)+E(f753(x8133,x8134,x8131),f753(x8133,x8134,x8132))
% 163.96/163.66 [814]~E(x8141,x8142)+E(f131(x8141),f131(x8142))
% 163.96/163.66 [815]~E(x8151,x8152)+E(f746(x8151,x8153,x8154,x8155),f746(x8152,x8153,x8154,x8155))
% 163.96/163.66 [816]~E(x8161,x8162)+E(f746(x8163,x8161,x8164,x8165),f746(x8163,x8162,x8164,x8165))
% 163.96/163.66 [817]~E(x8171,x8172)+E(f746(x8173,x8174,x8171,x8175),f746(x8173,x8174,x8172,x8175))
% 163.96/163.66 [818]~E(x8181,x8182)+E(f746(x8183,x8184,x8185,x8181),f746(x8183,x8184,x8185,x8182))
% 163.96/163.66 [819]~E(x8191,x8192)+E(f281(x8191,x8193),f281(x8192,x8193))
% 163.96/163.66 [820]~E(x8201,x8202)+E(f281(x8203,x8201),f281(x8203,x8202))
% 163.96/163.66 [821]~E(x8211,x8212)+E(f832(x8211,x8213,x8214),f832(x8212,x8213,x8214))
% 163.96/163.66 [822]~E(x8221,x8222)+E(f832(x8223,x8221,x8224),f832(x8223,x8222,x8224))
% 163.96/163.66 [823]~E(x8231,x8232)+E(f832(x8233,x8234,x8231),f832(x8233,x8234,x8232))
% 163.96/163.66 [824]~E(x8241,x8242)+E(f846(x8241,x8243,x8244),f846(x8242,x8243,x8244))
% 163.96/163.66 [825]~E(x8251,x8252)+E(f846(x8253,x8251,x8254),f846(x8253,x8252,x8254))
% 163.96/163.66 [826]~E(x8261,x8262)+E(f846(x8263,x8264,x8261),f846(x8263,x8264,x8262))
% 163.96/163.66 [827]~E(x8271,x8272)+E(f851(x8271,x8273,x8274,x8275,x8276,x8277,x8278),f851(x8272,x8273,x8274,x8275,x8276,x8277,x8278))
% 163.96/163.66 [828]~E(x8281,x8282)+E(f851(x8283,x8281,x8284,x8285,x8286,x8287,x8288),f851(x8283,x8282,x8284,x8285,x8286,x8287,x8288))
% 163.96/163.66 [829]~E(x8291,x8292)+E(f851(x8293,x8294,x8291,x8295,x8296,x8297,x8298),f851(x8293,x8294,x8292,x8295,x8296,x8297,x8298))
% 163.96/163.66 [830]~E(x8301,x8302)+E(f851(x8303,x8304,x8305,x8301,x8306,x8307,x8308),f851(x8303,x8304,x8305,x8302,x8306,x8307,x8308))
% 163.96/163.66 [831]~E(x8311,x8312)+E(f851(x8313,x8314,x8315,x8316,x8311,x8317,x8318),f851(x8313,x8314,x8315,x8316,x8312,x8317,x8318))
% 163.96/163.66 [832]~E(x8321,x8322)+E(f851(x8323,x8324,x8325,x8326,x8327,x8321,x8328),f851(x8323,x8324,x8325,x8326,x8327,x8322,x8328))
% 163.96/163.66 [833]~E(x8331,x8332)+E(f851(x8333,x8334,x8335,x8336,x8337,x8338,x8331),f851(x8333,x8334,x8335,x8336,x8337,x8338,x8332))
% 163.96/163.66 [834]~E(x8341,x8342)+E(f324(x8341,x8343),f324(x8342,x8343))
% 163.96/163.66 [835]~E(x8351,x8352)+E(f324(x8353,x8351),f324(x8353,x8352))
% 163.96/163.66 [836]~E(x8361,x8362)+E(f189(x8361,x8363),f189(x8362,x8363))
% 163.96/163.66 [837]~E(x8371,x8372)+E(f189(x8373,x8371),f189(x8373,x8372))
% 163.96/163.66 [838]~E(x8381,x8382)+E(f76(x8381,x8383),f76(x8382,x8383))
% 163.96/163.66 [839]~E(x8391,x8392)+E(f76(x8393,x8391),f76(x8393,x8392))
% 163.96/163.66 [840]~E(x8401,x8402)+E(f841(x8401,x8403,x8404,x8405,x8406,x8407,x8408),f841(x8402,x8403,x8404,x8405,x8406,x8407,x8408))
% 163.96/163.66 [841]~E(x8411,x8412)+E(f841(x8413,x8411,x8414,x8415,x8416,x8417,x8418),f841(x8413,x8412,x8414,x8415,x8416,x8417,x8418))
% 163.96/163.66 [842]~E(x8421,x8422)+E(f841(x8423,x8424,x8421,x8425,x8426,x8427,x8428),f841(x8423,x8424,x8422,x8425,x8426,x8427,x8428))
% 163.96/163.66 [843]~E(x8431,x8432)+E(f841(x8433,x8434,x8435,x8431,x8436,x8437,x8438),f841(x8433,x8434,x8435,x8432,x8436,x8437,x8438))
% 163.96/163.66 [844]~E(x8441,x8442)+E(f841(x8443,x8444,x8445,x8446,x8441,x8447,x8448),f841(x8443,x8444,x8445,x8446,x8442,x8447,x8448))
% 163.96/163.66 [845]~E(x8451,x8452)+E(f841(x8453,x8454,x8455,x8456,x8457,x8451,x8458),f841(x8453,x8454,x8455,x8456,x8457,x8452,x8458))
% 163.96/163.66 [846]~E(x8461,x8462)+E(f841(x8463,x8464,x8465,x8466,x8467,x8468,x8461),f841(x8463,x8464,x8465,x8466,x8467,x8468,x8462))
% 163.96/163.66 [847]~E(x8471,x8472)+E(f290(x8471),f290(x8472))
% 163.96/163.66 [848]~E(x8481,x8482)+E(f47(x8481,x8483),f47(x8482,x8483))
% 163.96/163.66 [849]~E(x8491,x8492)+E(f47(x8493,x8491),f47(x8493,x8492))
% 163.96/163.66 [850]~E(x8501,x8502)+E(f643(x8501,x8503,x8504),f643(x8502,x8503,x8504))
% 163.96/163.66 [851]~E(x8511,x8512)+E(f643(x8513,x8511,x8514),f643(x8513,x8512,x8514))
% 163.96/163.66 [852]~E(x8521,x8522)+E(f643(x8523,x8524,x8521),f643(x8523,x8524,x8522))
% 163.96/163.66 [853]~E(x8531,x8532)+E(f629(x8531,x8533,x8534,x8535),f629(x8532,x8533,x8534,x8535))
% 163.96/163.66 [854]~E(x8541,x8542)+E(f629(x8543,x8541,x8544,x8545),f629(x8543,x8542,x8544,x8545))
% 163.96/163.66 [855]~E(x8551,x8552)+E(f629(x8553,x8554,x8551,x8555),f629(x8553,x8554,x8552,x8555))
% 163.96/163.66 [856]~E(x8561,x8562)+E(f629(x8563,x8564,x8565,x8561),f629(x8563,x8564,x8565,x8562))
% 163.96/163.66 [857]~E(x8571,x8572)+E(f807(x8571,x8573,x8574,x8575,x8576,x8577),f807(x8572,x8573,x8574,x8575,x8576,x8577))
% 163.96/163.66 [858]~E(x8581,x8582)+E(f807(x8583,x8581,x8584,x8585,x8586,x8587),f807(x8583,x8582,x8584,x8585,x8586,x8587))
% 163.96/163.66 [859]~E(x8591,x8592)+E(f807(x8593,x8594,x8591,x8595,x8596,x8597),f807(x8593,x8594,x8592,x8595,x8596,x8597))
% 163.96/163.66 [860]~E(x8601,x8602)+E(f807(x8603,x8604,x8605,x8601,x8606,x8607),f807(x8603,x8604,x8605,x8602,x8606,x8607))
% 163.96/163.66 [861]~E(x8611,x8612)+E(f807(x8613,x8614,x8615,x8616,x8611,x8617),f807(x8613,x8614,x8615,x8616,x8612,x8617))
% 163.96/163.66 [862]~E(x8621,x8622)+E(f807(x8623,x8624,x8625,x8626,x8627,x8621),f807(x8623,x8624,x8625,x8626,x8627,x8622))
% 163.96/163.66 [863]~E(x8631,x8632)+E(f11(x8631,x8633,x8634),f11(x8632,x8633,x8634))
% 163.96/163.66 [864]~E(x8641,x8642)+E(f11(x8643,x8641,x8644),f11(x8643,x8642,x8644))
% 163.96/163.66 [865]~E(x8651,x8652)+E(f11(x8653,x8654,x8651),f11(x8653,x8654,x8652))
% 163.96/163.66 [866]~E(x8661,x8662)+E(f843(x8661,x8663,x8664),f843(x8662,x8663,x8664))
% 163.96/163.66 [867]~E(x8671,x8672)+E(f843(x8673,x8671,x8674),f843(x8673,x8672,x8674))
% 163.96/163.66 [868]~E(x8681,x8682)+E(f843(x8683,x8684,x8681),f843(x8683,x8684,x8682))
% 163.96/163.66 [869]~E(x8691,x8692)+E(f497(x8691,x8693),f497(x8692,x8693))
% 163.96/163.66 [870]~E(x8701,x8702)+E(f497(x8703,x8701),f497(x8703,x8702))
% 163.96/163.66 [871]~E(x8711,x8712)+E(f427(x8711,x8713),f427(x8712,x8713))
% 163.96/163.66 [872]~E(x8721,x8722)+E(f427(x8723,x8721),f427(x8723,x8722))
% 163.96/163.66 [873]~E(x8731,x8732)+E(f71(x8731,x8733,x8734,x8735),f71(x8732,x8733,x8734,x8735))
% 163.96/163.66 [874]~E(x8741,x8742)+E(f71(x8743,x8741,x8744,x8745),f71(x8743,x8742,x8744,x8745))
% 163.96/163.66 [875]~E(x8751,x8752)+E(f71(x8753,x8754,x8751,x8755),f71(x8753,x8754,x8752,x8755))
% 163.96/163.66 [876]~E(x8761,x8762)+E(f71(x8763,x8764,x8765,x8761),f71(x8763,x8764,x8765,x8762))
% 163.96/163.66 [877]~E(x8771,x8772)+E(f706(x8771,x8773,x8774),f706(x8772,x8773,x8774))
% 163.96/163.66 [878]~E(x8781,x8782)+E(f706(x8783,x8781,x8784),f706(x8783,x8782,x8784))
% 163.96/163.66 [879]~E(x8791,x8792)+E(f706(x8793,x8794,x8791),f706(x8793,x8794,x8792))
% 163.96/163.66 [880]~E(x8801,x8802)+E(f682(x8801,x8803,x8804),f682(x8802,x8803,x8804))
% 163.96/163.66 [881]~E(x8811,x8812)+E(f682(x8813,x8811,x8814),f682(x8813,x8812,x8814))
% 163.96/163.66 [882]~E(x8821,x8822)+E(f682(x8823,x8824,x8821),f682(x8823,x8824,x8822))
% 163.96/163.66 [883]~E(x8831,x8832)+E(f677(x8831,x8833,x8834,x8835),f677(x8832,x8833,x8834,x8835))
% 163.96/163.66 [884]~E(x8841,x8842)+E(f677(x8843,x8841,x8844,x8845),f677(x8843,x8842,x8844,x8845))
% 163.96/163.66 [885]~E(x8851,x8852)+E(f677(x8853,x8854,x8851,x8855),f677(x8853,x8854,x8852,x8855))
% 163.96/163.66 [886]~E(x8861,x8862)+E(f677(x8863,x8864,x8865,x8861),f677(x8863,x8864,x8865,x8862))
% 163.96/163.66 [887]~E(x8871,x8872)+E(f578(x8871,x8873,x8874,x8875),f578(x8872,x8873,x8874,x8875))
% 163.96/163.66 [888]~E(x8881,x8882)+E(f578(x8883,x8881,x8884,x8885),f578(x8883,x8882,x8884,x8885))
% 163.96/163.66 [889]~E(x8891,x8892)+E(f578(x8893,x8894,x8891,x8895),f578(x8893,x8894,x8892,x8895))
% 163.96/163.66 [890]~E(x8901,x8902)+E(f578(x8903,x8904,x8905,x8901),f578(x8903,x8904,x8905,x8902))
% 163.96/163.66 [891]~E(x8911,x8912)+E(f652(x8911,x8913,x8914,x8915),f652(x8912,x8913,x8914,x8915))
% 163.96/163.66 [892]~E(x8921,x8922)+E(f652(x8923,x8921,x8924,x8925),f652(x8923,x8922,x8924,x8925))
% 163.96/163.66 [893]~E(x8931,x8932)+E(f652(x8933,x8934,x8931,x8935),f652(x8933,x8934,x8932,x8935))
% 163.96/163.66 [894]~E(x8941,x8942)+E(f652(x8943,x8944,x8945,x8941),f652(x8943,x8944,x8945,x8942))
% 163.96/163.66 [895]~E(x8951,x8952)+E(f163(x8951,x8953,x8954),f163(x8952,x8953,x8954))
% 163.96/163.66 [896]~E(x8961,x8962)+E(f163(x8963,x8961,x8964),f163(x8963,x8962,x8964))
% 163.96/163.66 [897]~E(x8971,x8972)+E(f163(x8973,x8974,x8971),f163(x8973,x8974,x8972))
% 163.96/163.66 [898]~E(x8981,x8982)+E(f549(x8981,x8983,x8984),f549(x8982,x8983,x8984))
% 163.96/163.66 [899]~E(x8991,x8992)+E(f549(x8993,x8991,x8994),f549(x8993,x8992,x8994))
% 163.96/163.66 [900]~E(x9001,x9002)+E(f549(x9003,x9004,x9001),f549(x9003,x9004,x9002))
% 163.96/163.66 [901]~E(x9011,x9012)+E(f34(x9011),f34(x9012))
% 163.96/163.66 [902]~E(x9021,x9022)+E(f644(x9021,x9023,x9024,x9025),f644(x9022,x9023,x9024,x9025))
% 163.96/163.66 [903]~E(x9031,x9032)+E(f644(x9033,x9031,x9034,x9035),f644(x9033,x9032,x9034,x9035))
% 163.96/163.66 [904]~E(x9041,x9042)+E(f644(x9043,x9044,x9041,x9045),f644(x9043,x9044,x9042,x9045))
% 163.96/163.66 [905]~E(x9051,x9052)+E(f644(x9053,x9054,x9055,x9051),f644(x9053,x9054,x9055,x9052))
% 163.96/163.66 [906]~E(x9061,x9062)+E(f182(x9061,x9063),f182(x9062,x9063))
% 163.96/163.66 [907]~E(x9071,x9072)+E(f182(x9073,x9071),f182(x9073,x9072))
% 163.96/163.66 [908]~E(x9081,x9082)+E(f740(x9081,x9083,x9084,x9085,x9086,x9087,x9088),f740(x9082,x9083,x9084,x9085,x9086,x9087,x9088))
% 163.96/163.66 [909]~E(x9091,x9092)+E(f740(x9093,x9091,x9094,x9095,x9096,x9097,x9098),f740(x9093,x9092,x9094,x9095,x9096,x9097,x9098))
% 163.96/163.66 [910]~E(x9101,x9102)+E(f740(x9103,x9104,x9101,x9105,x9106,x9107,x9108),f740(x9103,x9104,x9102,x9105,x9106,x9107,x9108))
% 163.96/163.66 [911]~E(x9111,x9112)+E(f740(x9113,x9114,x9115,x9111,x9116,x9117,x9118),f740(x9113,x9114,x9115,x9112,x9116,x9117,x9118))
% 163.96/163.66 [912]~E(x9121,x9122)+E(f740(x9123,x9124,x9125,x9126,x9121,x9127,x9128),f740(x9123,x9124,x9125,x9126,x9122,x9127,x9128))
% 163.96/163.66 [913]~E(x9131,x9132)+E(f740(x9133,x9134,x9135,x9136,x9137,x9131,x9138),f740(x9133,x9134,x9135,x9136,x9137,x9132,x9138))
% 163.96/163.66 [914]~E(x9141,x9142)+E(f740(x9143,x9144,x9145,x9146,x9147,x9148,x9141),f740(x9143,x9144,x9145,x9146,x9147,x9148,x9142))
% 163.96/163.66 [915]~E(x9151,x9152)+E(f111(x9151,x9153),f111(x9152,x9153))
% 163.96/163.66 [916]~E(x9161,x9162)+E(f111(x9163,x9161),f111(x9163,x9162))
% 163.96/163.66 [917]~E(x9171,x9172)+E(f70(x9171,x9173,x9174,x9175,x9176),f70(x9172,x9173,x9174,x9175,x9176))
% 163.96/163.66 [918]~E(x9181,x9182)+E(f70(x9183,x9181,x9184,x9185,x9186),f70(x9183,x9182,x9184,x9185,x9186))
% 163.96/163.66 [919]~E(x9191,x9192)+E(f70(x9193,x9194,x9191,x9195,x9196),f70(x9193,x9194,x9192,x9195,x9196))
% 163.96/163.66 [920]~E(x9201,x9202)+E(f70(x9203,x9204,x9205,x9201,x9206),f70(x9203,x9204,x9205,x9202,x9206))
% 163.96/163.66 [921]~E(x9211,x9212)+E(f70(x9213,x9214,x9215,x9216,x9211),f70(x9213,x9214,x9215,x9216,x9212))
% 163.96/163.66 [922]~E(x9221,x9222)+E(f364(x9221,x9223),f364(x9222,x9223))
% 163.96/163.66 [923]~E(x9231,x9232)+E(f364(x9233,x9231),f364(x9233,x9232))
% 163.96/163.66 [924]~E(x9241,x9242)+E(f59(x9241,x9243,x9244,x9245,x9246),f59(x9242,x9243,x9244,x9245,x9246))
% 163.96/163.66 [925]~E(x9251,x9252)+E(f59(x9253,x9251,x9254,x9255,x9256),f59(x9253,x9252,x9254,x9255,x9256))
% 163.96/163.66 [926]~E(x9261,x9262)+E(f59(x9263,x9264,x9261,x9265,x9266),f59(x9263,x9264,x9262,x9265,x9266))
% 163.96/163.66 [927]~E(x9271,x9272)+E(f59(x9273,x9274,x9275,x9271,x9276),f59(x9273,x9274,x9275,x9272,x9276))
% 163.96/163.66 [928]~E(x9281,x9282)+E(f59(x9283,x9284,x9285,x9286,x9281),f59(x9283,x9284,x9285,x9286,x9282))
% 163.96/163.66 [929]~E(x9291,x9292)+E(f574(x9291,x9293,x9294,x9295),f574(x9292,x9293,x9294,x9295))
% 163.96/163.66 [930]~E(x9301,x9302)+E(f574(x9303,x9301,x9304,x9305),f574(x9303,x9302,x9304,x9305))
% 163.96/163.66 [931]~E(x9311,x9312)+E(f574(x9313,x9314,x9311,x9315),f574(x9313,x9314,x9312,x9315))
% 163.96/163.66 [932]~E(x9321,x9322)+E(f574(x9323,x9324,x9325,x9321),f574(x9323,x9324,x9325,x9322))
% 163.96/163.66 [933]~E(x9331,x9332)+E(f676(x9331,x9333,x9334,x9335,x9336),f676(x9332,x9333,x9334,x9335,x9336))
% 163.96/163.66 [934]~E(x9341,x9342)+E(f676(x9343,x9341,x9344,x9345,x9346),f676(x9343,x9342,x9344,x9345,x9346))
% 163.96/163.66 [935]~E(x9351,x9352)+E(f676(x9353,x9354,x9351,x9355,x9356),f676(x9353,x9354,x9352,x9355,x9356))
% 163.96/163.66 [936]~E(x9361,x9362)+E(f676(x9363,x9364,x9365,x9361,x9366),f676(x9363,x9364,x9365,x9362,x9366))
% 163.96/163.66 [937]~E(x9371,x9372)+E(f676(x9373,x9374,x9375,x9376,x9371),f676(x9373,x9374,x9375,x9376,x9372))
% 163.96/163.66 [938]~E(x9381,x9382)+E(f421(x9381),f421(x9382))
% 163.96/163.66 [939]~E(x9391,x9392)+E(f326(x9391,x9393),f326(x9392,x9393))
% 163.96/163.66 [940]~E(x9401,x9402)+E(f326(x9403,x9401),f326(x9403,x9402))
% 163.96/163.66 [941]~E(x9411,x9412)+E(f413(x9411),f413(x9412))
% 163.96/163.66 [942]~E(x9421,x9422)+E(f412(x9421,x9423,x9424,x9425),f412(x9422,x9423,x9424,x9425))
% 163.96/163.66 [943]~E(x9431,x9432)+E(f412(x9433,x9431,x9434,x9435),f412(x9433,x9432,x9434,x9435))
% 163.96/163.66 [944]~E(x9441,x9442)+E(f412(x9443,x9444,x9441,x9445),f412(x9443,x9444,x9442,x9445))
% 163.96/163.66 [945]~E(x9451,x9452)+E(f412(x9453,x9454,x9455,x9451),f412(x9453,x9454,x9455,x9452))
% 163.96/163.66 [946]~E(x9461,x9462)+E(f258(x9461,x9463),f258(x9462,x9463))
% 163.96/163.66 [947]~E(x9471,x9472)+E(f258(x9473,x9471),f258(x9473,x9472))
% 163.96/163.66 [948]~E(x9481,x9482)+E(f345(x9481,x9483,x9484,x9485),f345(x9482,x9483,x9484,x9485))
% 163.96/163.66 [949]~E(x9491,x9492)+E(f345(x9493,x9491,x9494,x9495),f345(x9493,x9492,x9494,x9495))
% 163.96/163.66 [950]~E(x9501,x9502)+E(f345(x9503,x9504,x9501,x9505),f345(x9503,x9504,x9502,x9505))
% 163.96/163.66 [951]~E(x9511,x9512)+E(f345(x9513,x9514,x9515,x9511),f345(x9513,x9514,x9515,x9512))
% 163.96/163.66 [952]~E(x9521,x9522)+E(f174(x9521,x9523,x9524),f174(x9522,x9523,x9524))
% 163.96/163.66 [953]~E(x9531,x9532)+E(f174(x9533,x9531,x9534),f174(x9533,x9532,x9534))
% 163.96/163.66 [954]~E(x9541,x9542)+E(f174(x9543,x9544,x9541),f174(x9543,x9544,x9542))
% 163.96/163.66 [955]~E(x9551,x9552)+E(f739(x9551,x9553,x9554,x9555,x9556,x9557,x9558),f739(x9552,x9553,x9554,x9555,x9556,x9557,x9558))
% 163.96/163.66 [956]~E(x9561,x9562)+E(f739(x9563,x9561,x9564,x9565,x9566,x9567,x9568),f739(x9563,x9562,x9564,x9565,x9566,x9567,x9568))
% 163.96/163.66 [957]~E(x9571,x9572)+E(f739(x9573,x9574,x9571,x9575,x9576,x9577,x9578),f739(x9573,x9574,x9572,x9575,x9576,x9577,x9578))
% 163.96/163.66 [958]~E(x9581,x9582)+E(f739(x9583,x9584,x9585,x9581,x9586,x9587,x9588),f739(x9583,x9584,x9585,x9582,x9586,x9587,x9588))
% 163.96/163.66 [959]~E(x9591,x9592)+E(f739(x9593,x9594,x9595,x9596,x9591,x9597,x9598),f739(x9593,x9594,x9595,x9596,x9592,x9597,x9598))
% 163.96/163.66 [960]~E(x9601,x9602)+E(f739(x9603,x9604,x9605,x9606,x9607,x9601,x9608),f739(x9603,x9604,x9605,x9606,x9607,x9602,x9608))
% 163.96/163.66 [961]~E(x9611,x9612)+E(f739(x9613,x9614,x9615,x9616,x9617,x9618,x9611),f739(x9613,x9614,x9615,x9616,x9617,x9618,x9612))
% 163.96/163.66 [962]~E(x9621,x9622)+E(f40(x9621,x9623),f40(x9622,x9623))
% 163.96/163.66 [963]~E(x9631,x9632)+E(f40(x9633,x9631),f40(x9633,x9632))
% 163.96/163.66 [964]~E(x9641,x9642)+E(f39(x9641,x9643),f39(x9642,x9643))
% 163.96/163.66 [965]~E(x9651,x9652)+E(f39(x9653,x9651),f39(x9653,x9652))
% 163.96/163.66 [966]~E(x9661,x9662)+E(f121(x9661,x9663,x9664,x9665),f121(x9662,x9663,x9664,x9665))
% 163.96/163.66 [967]~E(x9671,x9672)+E(f121(x9673,x9671,x9674,x9675),f121(x9673,x9672,x9674,x9675))
% 163.96/163.66 [968]~E(x9681,x9682)+E(f121(x9683,x9684,x9681,x9685),f121(x9683,x9684,x9682,x9685))
% 163.96/163.66 [969]~E(x9691,x9692)+E(f121(x9693,x9694,x9695,x9691),f121(x9693,x9694,x9695,x9692))
% 163.96/163.66 [970]~E(x9701,x9702)+E(f244(x9701,x9703,x9704,x9705),f244(x9702,x9703,x9704,x9705))
% 163.96/163.66 [971]~E(x9711,x9712)+E(f244(x9713,x9711,x9714,x9715),f244(x9713,x9712,x9714,x9715))
% 163.96/163.66 [972]~E(x9721,x9722)+E(f244(x9723,x9724,x9721,x9725),f244(x9723,x9724,x9722,x9725))
% 163.96/163.66 [973]~E(x9731,x9732)+E(f244(x9733,x9734,x9735,x9731),f244(x9733,x9734,x9735,x9732))
% 163.96/163.66 [974]~E(x9741,x9742)+E(f270(x9741),f270(x9742))
% 163.96/163.66 [975]~E(x9751,x9752)+E(f146(x9751,x9753,x9754,x9755),f146(x9752,x9753,x9754,x9755))
% 163.96/163.66 [976]~E(x9761,x9762)+E(f146(x9763,x9761,x9764,x9765),f146(x9763,x9762,x9764,x9765))
% 163.96/163.66 [977]~E(x9771,x9772)+E(f146(x9773,x9774,x9771,x9775),f146(x9773,x9774,x9772,x9775))
% 163.96/163.66 [978]~E(x9781,x9782)+E(f146(x9783,x9784,x9785,x9781),f146(x9783,x9784,x9785,x9782))
% 163.96/163.66 [979]~E(x9791,x9792)+E(f623(x9791,x9793,x9794,x9795),f623(x9792,x9793,x9794,x9795))
% 163.96/163.66 [980]~E(x9801,x9802)+E(f623(x9803,x9801,x9804,x9805),f623(x9803,x9802,x9804,x9805))
% 163.96/163.66 [981]~E(x9811,x9812)+E(f623(x9813,x9814,x9811,x9815),f623(x9813,x9814,x9812,x9815))
% 163.96/163.66 [982]~E(x9821,x9822)+E(f623(x9823,x9824,x9825,x9821),f623(x9823,x9824,x9825,x9822))
% 163.96/163.66 [983]~E(x9831,x9832)+E(f715(x9831,x9833,x9834,x9835),f715(x9832,x9833,x9834,x9835))
% 163.96/163.66 [984]~E(x9841,x9842)+E(f715(x9843,x9841,x9844,x9845),f715(x9843,x9842,x9844,x9845))
% 163.96/163.66 [985]~E(x9851,x9852)+E(f715(x9853,x9854,x9851,x9855),f715(x9853,x9854,x9852,x9855))
% 163.96/163.66 [986]~E(x9861,x9862)+E(f715(x9863,x9864,x9865,x9861),f715(x9863,x9864,x9865,x9862))
% 163.96/163.66 [987]~E(x9871,x9872)+E(f756(x9871,x9873,x9874),f756(x9872,x9873,x9874))
% 163.96/163.66 [988]~E(x9881,x9882)+E(f756(x9883,x9881,x9884),f756(x9883,x9882,x9884))
% 163.96/163.66 [989]~E(x9891,x9892)+E(f756(x9893,x9894,x9891),f756(x9893,x9894,x9892))
% 163.96/163.66 [990]~E(x9901,x9902)+E(f139(x9901,x9903,x9904,x9905,x9906),f139(x9902,x9903,x9904,x9905,x9906))
% 163.96/163.66 [991]~E(x9911,x9912)+E(f139(x9913,x9911,x9914,x9915,x9916),f139(x9913,x9912,x9914,x9915,x9916))
% 163.96/163.66 [992]~E(x9921,x9922)+E(f139(x9923,x9924,x9921,x9925,x9926),f139(x9923,x9924,x9922,x9925,x9926))
% 163.96/163.66 [993]~E(x9931,x9932)+E(f139(x9933,x9934,x9935,x9931,x9936),f139(x9933,x9934,x9935,x9932,x9936))
% 163.96/163.66 [994]~E(x9941,x9942)+E(f139(x9943,x9944,x9945,x9946,x9941),f139(x9943,x9944,x9945,x9946,x9942))
% 163.96/163.66 [995]~E(x9951,x9952)+E(f670(x9951,x9953,x9954),f670(x9952,x9953,x9954))
% 163.96/163.66 [996]~E(x9961,x9962)+E(f670(x9963,x9961,x9964),f670(x9963,x9962,x9964))
% 163.96/163.66 [997]~E(x9971,x9972)+E(f670(x9973,x9974,x9971),f670(x9973,x9974,x9972))
% 163.96/163.66 [998]~E(x9981,x9982)+E(f587(x9981,x9983,x9984),f587(x9982,x9983,x9984))
% 163.96/163.66 [999]~E(x9991,x9992)+E(f587(x9993,x9991,x9994),f587(x9993,x9992,x9994))
% 163.96/163.66 [1000]~E(x10001,x10002)+E(f587(x10003,x10004,x10001),f587(x10003,x10004,x10002))
% 163.96/163.66 [1001]~E(x10011,x10012)+E(f550(x10011,x10013,x10014,x10015,x10016),f550(x10012,x10013,x10014,x10015,x10016))
% 163.96/163.66 [1002]~E(x10021,x10022)+E(f550(x10023,x10021,x10024,x10025,x10026),f550(x10023,x10022,x10024,x10025,x10026))
% 163.96/163.66 [1003]~E(x10031,x10032)+E(f550(x10033,x10034,x10031,x10035,x10036),f550(x10033,x10034,x10032,x10035,x10036))
% 163.96/163.66 [1004]~E(x10041,x10042)+E(f550(x10043,x10044,x10045,x10041,x10046),f550(x10043,x10044,x10045,x10042,x10046))
% 163.96/163.66 [1005]~E(x10051,x10052)+E(f550(x10053,x10054,x10055,x10056,x10051),f550(x10053,x10054,x10055,x10056,x10052))
% 163.96/163.66 [1006]~E(x10061,x10062)+E(f597(x10061,x10063,x10064,x10065,x10066),f597(x10062,x10063,x10064,x10065,x10066))
% 163.96/163.66 [1007]~E(x10071,x10072)+E(f597(x10073,x10071,x10074,x10075,x10076),f597(x10073,x10072,x10074,x10075,x10076))
% 163.96/163.66 [1008]~E(x10081,x10082)+E(f597(x10083,x10084,x10081,x10085,x10086),f597(x10083,x10084,x10082,x10085,x10086))
% 163.96/163.66 [1009]~E(x10091,x10092)+E(f597(x10093,x10094,x10095,x10091,x10096),f597(x10093,x10094,x10095,x10092,x10096))
% 163.96/163.66 [1010]~E(x10101,x10102)+E(f597(x10103,x10104,x10105,x10106,x10101),f597(x10103,x10104,x10105,x10106,x10102))
% 163.96/163.66 [1011]~E(x10111,x10112)+E(f488(x10111,x10113),f488(x10112,x10113))
% 163.96/163.66 [1012]~E(x10121,x10122)+E(f488(x10123,x10121),f488(x10123,x10122))
% 163.96/163.66 [1013]~E(x10131,x10132)+E(f750(x10131,x10133,x10134),f750(x10132,x10133,x10134))
% 163.96/163.66 [1014]~E(x10141,x10142)+E(f750(x10143,x10141,x10144),f750(x10143,x10142,x10144))
% 163.96/163.66 [1015]~E(x10151,x10152)+E(f750(x10153,x10154,x10151),f750(x10153,x10154,x10152))
% 163.96/163.66 [1016]~E(x10161,x10162)+E(f452(x10161,x10163,x10164),f452(x10162,x10163,x10164))
% 163.96/163.66 [1017]~E(x10171,x10172)+E(f452(x10173,x10171,x10174),f452(x10173,x10172,x10174))
% 163.96/163.66 [1018]~E(x10181,x10182)+E(f452(x10183,x10184,x10181),f452(x10183,x10184,x10182))
% 163.96/163.66 [1019]~E(x10191,x10192)+E(f546(x10191,x10193,x10194,x10195,x10196),f546(x10192,x10193,x10194,x10195,x10196))
% 163.96/163.66 [1020]~E(x10201,x10202)+E(f546(x10203,x10201,x10204,x10205,x10206),f546(x10203,x10202,x10204,x10205,x10206))
% 163.96/163.66 [1021]~E(x10211,x10212)+E(f546(x10213,x10214,x10211,x10215,x10216),f546(x10213,x10214,x10212,x10215,x10216))
% 163.96/163.66 [1022]~E(x10221,x10222)+E(f546(x10223,x10224,x10225,x10221,x10226),f546(x10223,x10224,x10225,x10222,x10226))
% 163.96/163.66 [1023]~E(x10231,x10232)+E(f546(x10233,x10234,x10235,x10236,x10231),f546(x10233,x10234,x10235,x10236,x10232))
% 163.96/163.66 [1024]~E(x10241,x10242)+E(f170(x10241),f170(x10242))
% 163.96/163.66 [1025]~E(x10251,x10252)+E(f415(x10251),f415(x10252))
% 163.96/163.66 [1026]~E(x10261,x10262)+E(f366(x10261,x10263),f366(x10262,x10263))
% 163.96/163.66 [1027]~E(x10271,x10272)+E(f366(x10273,x10271),f366(x10273,x10272))
% 163.96/163.66 [1028]~E(x10281,x10282)+E(f566(x10281,x10283,x10284),f566(x10282,x10283,x10284))
% 163.96/163.66 [1029]~E(x10291,x10292)+E(f566(x10293,x10291,x10294),f566(x10293,x10292,x10294))
% 163.96/163.66 [1030]~E(x10301,x10302)+E(f566(x10303,x10304,x10301),f566(x10303,x10304,x10302))
% 163.96/163.66 [1031]~E(x10311,x10312)+E(f393(x10311,x10313,x10314),f393(x10312,x10313,x10314))
% 163.96/163.66 [1032]~E(x10321,x10322)+E(f393(x10323,x10321,x10324),f393(x10323,x10322,x10324))
% 163.96/163.66 [1033]~E(x10331,x10332)+E(f393(x10333,x10334,x10331),f393(x10333,x10334,x10332))
% 163.96/163.66 [1034]~E(x10341,x10342)+E(f662(x10341,x10343,x10344,x10345),f662(x10342,x10343,x10344,x10345))
% 163.96/163.66 [1035]~E(x10351,x10352)+E(f662(x10353,x10351,x10354,x10355),f662(x10353,x10352,x10354,x10355))
% 163.96/163.66 [1036]~E(x10361,x10362)+E(f662(x10363,x10364,x10361,x10365),f662(x10363,x10364,x10362,x10365))
% 163.96/163.66 [1037]~E(x10371,x10372)+E(f662(x10373,x10374,x10375,x10371),f662(x10373,x10374,x10375,x10372))
% 163.96/163.66 [1038]~E(x10381,x10382)+E(f310(x10381,x10383,x10384),f310(x10382,x10383,x10384))
% 163.96/163.66 [1039]~E(x10391,x10392)+E(f310(x10393,x10391,x10394),f310(x10393,x10392,x10394))
% 163.96/163.66 [1040]~E(x10401,x10402)+E(f310(x10403,x10404,x10401),f310(x10403,x10404,x10402))
% 163.96/163.66 [1041]~E(x10411,x10412)+E(f188(x10411,x10413,x10414,x10415),f188(x10412,x10413,x10414,x10415))
% 163.96/163.66 [1042]~E(x10421,x10422)+E(f188(x10423,x10421,x10424,x10425),f188(x10423,x10422,x10424,x10425))
% 163.96/163.66 [1043]~E(x10431,x10432)+E(f188(x10433,x10434,x10431,x10435),f188(x10433,x10434,x10432,x10435))
% 163.96/163.66 [1044]~E(x10441,x10442)+E(f188(x10443,x10444,x10445,x10441),f188(x10443,x10444,x10445,x10442))
% 163.96/163.66 [1045]~E(x10451,x10452)+E(f242(x10451,x10453,x10454,x10455,x10456),f242(x10452,x10453,x10454,x10455,x10456))
% 163.96/163.66 [1046]~E(x10461,x10462)+E(f242(x10463,x10461,x10464,x10465,x10466),f242(x10463,x10462,x10464,x10465,x10466))
% 163.96/163.66 [1047]~E(x10471,x10472)+E(f242(x10473,x10474,x10471,x10475,x10476),f242(x10473,x10474,x10472,x10475,x10476))
% 163.96/163.66 [1048]~E(x10481,x10482)+E(f242(x10483,x10484,x10485,x10481,x10486),f242(x10483,x10484,x10485,x10482,x10486))
% 163.96/163.66 [1049]~E(x10491,x10492)+E(f242(x10493,x10494,x10495,x10496,x10491),f242(x10493,x10494,x10495,x10496,x10492))
% 163.96/163.66 [1050]~E(x10501,x10502)+E(f749(x10501,x10503,x10504),f749(x10502,x10503,x10504))
% 163.96/163.66 [1051]~E(x10511,x10512)+E(f749(x10513,x10511,x10514),f749(x10513,x10512,x10514))
% 163.96/163.66 [1052]~E(x10521,x10522)+E(f749(x10523,x10524,x10521),f749(x10523,x10524,x10522))
% 163.96/163.66 [1053]~E(x10531,x10532)+E(f579(x10531,x10533,x10534,x10535,x10536,x10537),f579(x10532,x10533,x10534,x10535,x10536,x10537))
% 163.96/163.66 [1054]~E(x10541,x10542)+E(f579(x10543,x10541,x10544,x10545,x10546,x10547),f579(x10543,x10542,x10544,x10545,x10546,x10547))
% 163.96/163.66 [1055]~E(x10551,x10552)+E(f579(x10553,x10554,x10551,x10555,x10556,x10557),f579(x10553,x10554,x10552,x10555,x10556,x10557))
% 163.96/163.66 [1056]~E(x10561,x10562)+E(f579(x10563,x10564,x10565,x10561,x10566,x10567),f579(x10563,x10564,x10565,x10562,x10566,x10567))
% 163.96/163.66 [1057]~E(x10571,x10572)+E(f579(x10573,x10574,x10575,x10576,x10571,x10577),f579(x10573,x10574,x10575,x10576,x10572,x10577))
% 163.96/163.66 [1058]~E(x10581,x10582)+E(f579(x10583,x10584,x10585,x10586,x10587,x10581),f579(x10583,x10584,x10585,x10586,x10587,x10582))
% 163.96/163.66 [1059]~E(x10591,x10592)+E(f891(x10591,x10593,x10594),f891(x10592,x10593,x10594))
% 163.96/163.66 [1060]~E(x10601,x10602)+E(f891(x10603,x10601,x10604),f891(x10603,x10602,x10604))
% 163.96/163.66 [1061]~E(x10611,x10612)+E(f891(x10613,x10614,x10611),f891(x10613,x10614,x10612))
% 163.96/163.66 [1062]~E(x10621,x10622)+E(f130(x10621,x10623,x10624),f130(x10622,x10623,x10624))
% 163.96/163.66 [1063]~E(x10631,x10632)+E(f130(x10633,x10631,x10634),f130(x10633,x10632,x10634))
% 163.96/163.66 [1064]~E(x10641,x10642)+E(f130(x10643,x10644,x10641),f130(x10643,x10644,x10642))
% 163.96/163.66 [1065]~E(x10651,x10652)+E(f622(x10651,x10653,x10654,x10655),f622(x10652,x10653,x10654,x10655))
% 163.96/163.66 [1066]~E(x10661,x10662)+E(f622(x10663,x10661,x10664,x10665),f622(x10663,x10662,x10664,x10665))
% 163.96/163.66 [1067]~E(x10671,x10672)+E(f622(x10673,x10674,x10671,x10675),f622(x10673,x10674,x10672,x10675))
% 163.96/163.66 [1068]~E(x10681,x10682)+E(f622(x10683,x10684,x10685,x10681),f622(x10683,x10684,x10685,x10682))
% 163.96/163.66 [1069]~E(x10691,x10692)+E(f264(x10691,x10693),f264(x10692,x10693))
% 163.96/163.66 [1070]~E(x10701,x10702)+E(f264(x10703,x10701),f264(x10703,x10702))
% 163.96/163.66 [1071]~E(x10711,x10712)+E(f857(x10711,x10713),f857(x10712,x10713))
% 163.96/163.66 [1072]~E(x10721,x10722)+E(f857(x10723,x10721),f857(x10723,x10722))
% 163.96/163.66 [1073]~E(x10731,x10732)+E(f621(x10731,x10733,x10734,x10735),f621(x10732,x10733,x10734,x10735))
% 163.96/163.66 [1074]~E(x10741,x10742)+E(f621(x10743,x10741,x10744,x10745),f621(x10743,x10742,x10744,x10745))
% 163.96/163.66 [1075]~E(x10751,x10752)+E(f621(x10753,x10754,x10751,x10755),f621(x10753,x10754,x10752,x10755))
% 163.96/163.66 [1076]~E(x10761,x10762)+E(f621(x10763,x10764,x10765,x10761),f621(x10763,x10764,x10765,x10762))
% 163.96/163.66 [1077]~E(x10771,x10772)+E(f206(x10771,x10773),f206(x10772,x10773))
% 163.96/163.66 [1078]~E(x10781,x10782)+E(f206(x10783,x10781),f206(x10783,x10782))
% 163.96/163.66 [1079]~E(x10791,x10792)+E(f466(x10791),f466(x10792))
% 163.96/163.66 [1080]~E(x10801,x10802)+E(f369(x10801,x10803,x10804,x10805,x10806),f369(x10802,x10803,x10804,x10805,x10806))
% 163.96/163.66 [1081]~E(x10811,x10812)+E(f369(x10813,x10811,x10814,x10815,x10816),f369(x10813,x10812,x10814,x10815,x10816))
% 163.96/163.66 [1082]~E(x10821,x10822)+E(f369(x10823,x10824,x10821,x10825,x10826),f369(x10823,x10824,x10822,x10825,x10826))
% 163.96/163.66 [1083]~E(x10831,x10832)+E(f369(x10833,x10834,x10835,x10831,x10836),f369(x10833,x10834,x10835,x10832,x10836))
% 163.96/163.66 [1084]~E(x10841,x10842)+E(f369(x10843,x10844,x10845,x10846,x10841),f369(x10843,x10844,x10845,x10846,x10842))
% 163.96/163.66 [1085]~E(x10851,x10852)+E(f887(x10851,x10853,x10854),f887(x10852,x10853,x10854))
% 163.96/163.66 [1086]~E(x10861,x10862)+E(f887(x10863,x10861,x10864),f887(x10863,x10862,x10864))
% 163.96/163.66 [1087]~E(x10871,x10872)+E(f887(x10873,x10874,x10871),f887(x10873,x10874,x10872))
% 163.96/163.66 [1088]~E(x10881,x10882)+E(f617(x10881,x10883,x10884,x10885,x10886),f617(x10882,x10883,x10884,x10885,x10886))
% 163.96/163.66 [1089]~E(x10891,x10892)+E(f617(x10893,x10891,x10894,x10895,x10896),f617(x10893,x10892,x10894,x10895,x10896))
% 163.96/163.66 [1090]~E(x10901,x10902)+E(f617(x10903,x10904,x10901,x10905,x10906),f617(x10903,x10904,x10902,x10905,x10906))
% 163.96/163.66 [1091]~E(x10911,x10912)+E(f617(x10913,x10914,x10915,x10911,x10916),f617(x10913,x10914,x10915,x10912,x10916))
% 163.96/163.66 [1092]~E(x10921,x10922)+E(f617(x10923,x10924,x10925,x10926,x10921),f617(x10923,x10924,x10925,x10926,x10922))
% 163.96/163.66 [1093]~E(x10931,x10932)+E(f603(x10931,x10933,x10934),f603(x10932,x10933,x10934))
% 163.96/163.66 [1094]~E(x10941,x10942)+E(f603(x10943,x10941,x10944),f603(x10943,x10942,x10944))
% 163.96/163.66 [1095]~E(x10951,x10952)+E(f603(x10953,x10954,x10951),f603(x10953,x10954,x10952))
% 163.96/163.66 [1096]~E(x10961,x10962)+E(f523(x10961,x10963,x10964,x10965),f523(x10962,x10963,x10964,x10965))
% 163.96/163.66 [1097]~E(x10971,x10972)+E(f523(x10973,x10971,x10974,x10975),f523(x10973,x10972,x10974,x10975))
% 163.96/163.66 [1098]~E(x10981,x10982)+E(f523(x10983,x10984,x10981,x10985),f523(x10983,x10984,x10982,x10985))
% 163.96/163.66 [1099]~E(x10991,x10992)+E(f523(x10993,x10994,x10995,x10991),f523(x10993,x10994,x10995,x10992))
% 163.96/163.66 [1100]~E(x11001,x11002)+E(f632(x11001,x11003,x11004,x11005),f632(x11002,x11003,x11004,x11005))
% 163.96/163.66 [1101]~E(x11011,x11012)+E(f632(x11013,x11011,x11014,x11015),f632(x11013,x11012,x11014,x11015))
% 163.96/163.66 [1102]~E(x11021,x11022)+E(f632(x11023,x11024,x11021,x11025),f632(x11023,x11024,x11022,x11025))
% 163.96/163.66 [1103]~E(x11031,x11032)+E(f632(x11033,x11034,x11035,x11031),f632(x11033,x11034,x11035,x11032))
% 163.96/163.66 [1104]~E(x11041,x11042)+E(f308(x11041,x11043,x11044,x11045),f308(x11042,x11043,x11044,x11045))
% 163.96/163.66 [1105]~E(x11051,x11052)+E(f308(x11053,x11051,x11054,x11055),f308(x11053,x11052,x11054,x11055))
% 163.96/163.66 [1106]~E(x11061,x11062)+E(f308(x11063,x11064,x11061,x11065),f308(x11063,x11064,x11062,x11065))
% 163.96/163.66 [1107]~E(x11071,x11072)+E(f308(x11073,x11074,x11075,x11071),f308(x11073,x11074,x11075,x11072))
% 163.96/163.66 [1108]~E(x11081,x11082)+E(f335(x11081,x11083),f335(x11082,x11083))
% 163.96/163.66 [1109]~E(x11091,x11092)+E(f335(x11093,x11091),f335(x11093,x11092))
% 163.96/163.66 [1110]~E(x11101,x11102)+E(f489(x11101,x11103),f489(x11102,x11103))
% 163.96/163.66 [1111]~E(x11111,x11112)+E(f489(x11113,x11111),f489(x11113,x11112))
% 163.96/163.66 [1112]~E(x11121,x11122)+E(f559(x11121,x11123,x11124),f559(x11122,x11123,x11124))
% 163.96/163.66 [1113]~E(x11131,x11132)+E(f559(x11133,x11131,x11134),f559(x11133,x11132,x11134))
% 163.96/163.66 [1114]~E(x11141,x11142)+E(f559(x11143,x11144,x11141),f559(x11143,x11144,x11142))
% 163.96/163.66 [1115]~E(x11151,x11152)+E(f562(x11151,x11153,x11154),f562(x11152,x11153,x11154))
% 163.96/163.66 [1116]~E(x11161,x11162)+E(f562(x11163,x11161,x11164),f562(x11163,x11162,x11164))
% 163.96/163.66 [1117]~E(x11171,x11172)+E(f562(x11173,x11174,x11171),f562(x11173,x11174,x11172))
% 163.96/163.66 [1118]~E(x11181,x11182)+E(f548(x11181,x11183,x11184,x11185,x11186),f548(x11182,x11183,x11184,x11185,x11186))
% 163.96/163.66 [1119]~E(x11191,x11192)+E(f548(x11193,x11191,x11194,x11195,x11196),f548(x11193,x11192,x11194,x11195,x11196))
% 163.96/163.66 [1120]~E(x11201,x11202)+E(f548(x11203,x11204,x11201,x11205,x11206),f548(x11203,x11204,x11202,x11205,x11206))
% 163.96/163.66 [1121]~E(x11211,x11212)+E(f548(x11213,x11214,x11215,x11211,x11216),f548(x11213,x11214,x11215,x11212,x11216))
% 163.96/163.66 [1122]~E(x11221,x11222)+E(f548(x11223,x11224,x11225,x11226,x11221),f548(x11223,x11224,x11225,x11226,x11222))
% 163.96/163.66 [1123]~E(x11231,x11232)+E(f347(x11231,x11233),f347(x11232,x11233))
% 163.96/163.66 [1124]~E(x11241,x11242)+E(f347(x11243,x11241),f347(x11243,x11242))
% 163.96/163.66 [1125]~E(x11251,x11252)+E(f610(x11251,x11253,x11254,x11255,x11256),f610(x11252,x11253,x11254,x11255,x11256))
% 163.96/163.66 [1126]~E(x11261,x11262)+E(f610(x11263,x11261,x11264,x11265,x11266),f610(x11263,x11262,x11264,x11265,x11266))
% 163.96/163.66 [1127]~E(x11271,x11272)+E(f610(x11273,x11274,x11271,x11275,x11276),f610(x11273,x11274,x11272,x11275,x11276))
% 163.96/163.66 [1128]~E(x11281,x11282)+E(f610(x11283,x11284,x11285,x11281,x11286),f610(x11283,x11284,x11285,x11282,x11286))
% 163.96/163.66 [1129]~E(x11291,x11292)+E(f610(x11293,x11294,x11295,x11296,x11291),f610(x11293,x11294,x11295,x11296,x11292))
% 163.96/163.66 [1130]~E(x11301,x11302)+E(f772(x11301,x11303,x11304,x11305),f772(x11302,x11303,x11304,x11305))
% 163.96/163.66 [1131]~E(x11311,x11312)+E(f772(x11313,x11311,x11314,x11315),f772(x11313,x11312,x11314,x11315))
% 163.96/163.66 [1132]~E(x11321,x11322)+E(f772(x11323,x11324,x11321,x11325),f772(x11323,x11324,x11322,x11325))
% 163.96/163.66 [1133]~E(x11331,x11332)+E(f772(x11333,x11334,x11335,x11331),f772(x11333,x11334,x11335,x11332))
% 163.96/163.66 [1134]~E(x11341,x11342)+E(f187(x11341,x11343,x11344,x11345),f187(x11342,x11343,x11344,x11345))
% 163.96/163.66 [1135]~E(x11351,x11352)+E(f187(x11353,x11351,x11354,x11355),f187(x11353,x11352,x11354,x11355))
% 163.96/163.66 [1136]~E(x11361,x11362)+E(f187(x11363,x11364,x11361,x11365),f187(x11363,x11364,x11362,x11365))
% 163.96/163.66 [1137]~E(x11371,x11372)+E(f187(x11373,x11374,x11375,x11371),f187(x11373,x11374,x11375,x11372))
% 163.96/163.66 [1138]~E(x11381,x11382)+E(f50(x11381),f50(x11382))
% 163.96/163.66 [1139]~E(x11391,x11392)+E(f487(x11391,x11393,x11394),f487(x11392,x11393,x11394))
% 163.96/163.66 [1140]~E(x11401,x11402)+E(f487(x11403,x11401,x11404),f487(x11403,x11402,x11404))
% 163.96/163.66 [1141]~E(x11411,x11412)+E(f487(x11413,x11414,x11411),f487(x11413,x11414,x11412))
% 163.96/163.66 [1142]~E(x11421,x11422)+E(f422(x11421),f422(x11422))
% 163.96/163.66 [1143]~E(x11431,x11432)+E(f782(x11431,x11433,x11434,x11435,x11436,x11437,x11438),f782(x11432,x11433,x11434,x11435,x11436,x11437,x11438))
% 163.96/163.66 [1144]~E(x11441,x11442)+E(f782(x11443,x11441,x11444,x11445,x11446,x11447,x11448),f782(x11443,x11442,x11444,x11445,x11446,x11447,x11448))
% 163.96/163.66 [1145]~E(x11451,x11452)+E(f782(x11453,x11454,x11451,x11455,x11456,x11457,x11458),f782(x11453,x11454,x11452,x11455,x11456,x11457,x11458))
% 163.96/163.66 [1146]~E(x11461,x11462)+E(f782(x11463,x11464,x11465,x11461,x11466,x11467,x11468),f782(x11463,x11464,x11465,x11462,x11466,x11467,x11468))
% 163.96/163.66 [1147]~E(x11471,x11472)+E(f782(x11473,x11474,x11475,x11476,x11471,x11477,x11478),f782(x11473,x11474,x11475,x11476,x11472,x11477,x11478))
% 163.96/163.66 [1148]~E(x11481,x11482)+E(f782(x11483,x11484,x11485,x11486,x11487,x11481,x11488),f782(x11483,x11484,x11485,x11486,x11487,x11482,x11488))
% 163.96/163.66 [1149]~E(x11491,x11492)+E(f782(x11493,x11494,x11495,x11496,x11497,x11498,x11491),f782(x11493,x11494,x11495,x11496,x11497,x11498,x11492))
% 163.96/163.66 [1150]~E(x11501,x11502)+E(f164(x11501,x11503,x11504),f164(x11502,x11503,x11504))
% 163.96/163.66 [1151]~E(x11511,x11512)+E(f164(x11513,x11511,x11514),f164(x11513,x11512,x11514))
% 163.96/163.66 [1152]~E(x11521,x11522)+E(f164(x11523,x11524,x11521),f164(x11523,x11524,x11522))
% 163.96/163.66 [1153]~E(x11531,x11532)+E(f379(x11531,x11533,x11534),f379(x11532,x11533,x11534))
% 163.96/163.66 [1154]~E(x11541,x11542)+E(f379(x11543,x11541,x11544),f379(x11543,x11542,x11544))
% 163.96/163.66 [1155]~E(x11551,x11552)+E(f379(x11553,x11554,x11551),f379(x11553,x11554,x11552))
% 163.96/163.66 [1156]~E(x11561,x11562)+E(f152(x11561,x11563),f152(x11562,x11563))
% 163.96/163.66 [1157]~E(x11571,x11572)+E(f152(x11573,x11571),f152(x11573,x11572))
% 163.96/163.66 [1158]~E(x11581,x11582)+E(f48(x11581,x11583,x11584),f48(x11582,x11583,x11584))
% 163.96/163.66 [1159]~E(x11591,x11592)+E(f48(x11593,x11591,x11594),f48(x11593,x11592,x11594))
% 163.96/163.66 [1160]~E(x11601,x11602)+E(f48(x11603,x11604,x11601),f48(x11603,x11604,x11602))
% 163.96/163.66 [1161]~E(x11611,x11612)+E(f640(x11611,x11613),f640(x11612,x11613))
% 163.96/163.66 [1162]~E(x11621,x11622)+E(f640(x11623,x11621),f640(x11623,x11622))
% 163.96/163.66 [1163]~E(x11631,x11632)+E(f17(x11631,x11633,x11634,x11635),f17(x11632,x11633,x11634,x11635))
% 163.96/163.66 [1164]~E(x11641,x11642)+E(f17(x11643,x11641,x11644,x11645),f17(x11643,x11642,x11644,x11645))
% 163.96/163.66 [1165]~E(x11651,x11652)+E(f17(x11653,x11654,x11651,x11655),f17(x11653,x11654,x11652,x11655))
% 163.96/163.66 [1166]~E(x11661,x11662)+E(f17(x11663,x11664,x11665,x11661),f17(x11663,x11664,x11665,x11662))
% 163.96/163.66 [1167]~E(x11671,x11672)+E(f852(x11671),f852(x11672))
% 163.96/163.66 [1168]~E(x11681,x11682)+E(f721(x11681,x11683,x11684,x11685),f721(x11682,x11683,x11684,x11685))
% 163.96/163.66 [1169]~E(x11691,x11692)+E(f721(x11693,x11691,x11694,x11695),f721(x11693,x11692,x11694,x11695))
% 163.96/163.66 [1170]~E(x11701,x11702)+E(f721(x11703,x11704,x11701,x11705),f721(x11703,x11704,x11702,x11705))
% 163.96/163.66 [1171]~E(x11711,x11712)+E(f721(x11713,x11714,x11715,x11711),f721(x11713,x11714,x11715,x11712))
% 163.96/163.66 [1172]~E(x11721,x11722)+E(f556(x11721,x11723,x11724),f556(x11722,x11723,x11724))
% 163.96/163.66 [1173]~E(x11731,x11732)+E(f556(x11733,x11731,x11734),f556(x11733,x11732,x11734))
% 163.96/163.66 [1174]~E(x11741,x11742)+E(f556(x11743,x11744,x11741),f556(x11743,x11744,x11742))
% 163.96/163.66 [1175]~E(x11751,x11752)+E(f655(x11751,x11753),f655(x11752,x11753))
% 163.96/163.66 [1176]~E(x11761,x11762)+E(f655(x11763,x11761),f655(x11763,x11762))
% 163.96/163.66 [1177]~E(x11771,x11772)+E(f439(x11771,x11773,x11774),f439(x11772,x11773,x11774))
% 163.96/163.66 [1178]~E(x11781,x11782)+E(f439(x11783,x11781,x11784),f439(x11783,x11782,x11784))
% 163.96/163.66 [1179]~E(x11791,x11792)+E(f439(x11793,x11794,x11791),f439(x11793,x11794,x11792))
% 163.96/163.66 [1180]~E(x11801,x11802)+E(f458(x11801,x11803,x11804,x11805,x11806),f458(x11802,x11803,x11804,x11805,x11806))
% 163.96/163.66 [1181]~E(x11811,x11812)+E(f458(x11813,x11811,x11814,x11815,x11816),f458(x11813,x11812,x11814,x11815,x11816))
% 163.96/163.66 [1182]~E(x11821,x11822)+E(f458(x11823,x11824,x11821,x11825,x11826),f458(x11823,x11824,x11822,x11825,x11826))
% 163.96/163.66 [1183]~E(x11831,x11832)+E(f458(x11833,x11834,x11835,x11831,x11836),f458(x11833,x11834,x11835,x11832,x11836))
% 163.96/163.66 [1184]~E(x11841,x11842)+E(f458(x11843,x11844,x11845,x11846,x11841),f458(x11843,x11844,x11845,x11846,x11842))
% 163.96/163.66 [1185]~E(x11851,x11852)+E(f806(x11851,x11853,x11854,x11855,x11856,x11857),f806(x11852,x11853,x11854,x11855,x11856,x11857))
% 163.96/163.66 [1186]~E(x11861,x11862)+E(f806(x11863,x11861,x11864,x11865,x11866,x11867),f806(x11863,x11862,x11864,x11865,x11866,x11867))
% 163.96/163.66 [1187]~E(x11871,x11872)+E(f806(x11873,x11874,x11871,x11875,x11876,x11877),f806(x11873,x11874,x11872,x11875,x11876,x11877))
% 163.96/163.66 [1188]~E(x11881,x11882)+E(f806(x11883,x11884,x11885,x11881,x11886,x11887),f806(x11883,x11884,x11885,x11882,x11886,x11887))
% 163.96/163.66 [1189]~E(x11891,x11892)+E(f806(x11893,x11894,x11895,x11896,x11891,x11897),f806(x11893,x11894,x11895,x11896,x11892,x11897))
% 163.96/163.66 [1190]~E(x11901,x11902)+E(f806(x11903,x11904,x11905,x11906,x11907,x11901),f806(x11903,x11904,x11905,x11906,x11907,x11902))
% 163.96/163.66 [1191]~E(x11911,x11912)+E(f557(x11911,x11913,x11914),f557(x11912,x11913,x11914))
% 163.96/163.66 [1192]~E(x11921,x11922)+E(f557(x11923,x11921,x11924),f557(x11923,x11922,x11924))
% 163.96/163.66 [1193]~E(x11931,x11932)+E(f557(x11933,x11934,x11931),f557(x11933,x11934,x11932))
% 163.96/163.66 [1194]~E(x11941,x11942)+E(f535(x11941,x11943,x11944,x11945),f535(x11942,x11943,x11944,x11945))
% 163.96/163.66 [1195]~E(x11951,x11952)+E(f535(x11953,x11951,x11954,x11955),f535(x11953,x11952,x11954,x11955))
% 163.96/163.66 [1196]~E(x11961,x11962)+E(f535(x11963,x11964,x11961,x11965),f535(x11963,x11964,x11962,x11965))
% 163.96/163.66 [1197]~E(x11971,x11972)+E(f535(x11973,x11974,x11975,x11971),f535(x11973,x11974,x11975,x11972))
% 163.96/163.66 [1198]~E(x11981,x11982)+E(f626(x11981,x11983,x11984,x11985,x11986,x11987,x11988,x11989),f626(x11982,x11983,x11984,x11985,x11986,x11987,x11988,x11989))
% 163.96/163.66 [1199]~E(x11991,x11992)+E(f626(x11993,x11991,x11994,x11995,x11996,x11997,x11998,x11999),f626(x11993,x11992,x11994,x11995,x11996,x11997,x11998,x11999))
% 163.96/163.66 [1200]~E(x12001,x12002)+E(f626(x12003,x12004,x12001,x12005,x12006,x12007,x12008,x12009),f626(x12003,x12004,x12002,x12005,x12006,x12007,x12008,x12009))
% 163.96/163.66 [1201]~E(x12011,x12012)+E(f626(x12013,x12014,x12015,x12011,x12016,x12017,x12018,x12019),f626(x12013,x12014,x12015,x12012,x12016,x12017,x12018,x12019))
% 163.96/163.66 [1202]~E(x12021,x12022)+E(f626(x12023,x12024,x12025,x12026,x12021,x12027,x12028,x12029),f626(x12023,x12024,x12025,x12026,x12022,x12027,x12028,x12029))
% 163.96/163.66 [1203]~E(x12031,x12032)+E(f626(x12033,x12034,x12035,x12036,x12037,x12031,x12038,x12039),f626(x12033,x12034,x12035,x12036,x12037,x12032,x12038,x12039))
% 163.96/163.66 [1204]~E(x12041,x12042)+E(f626(x12043,x12044,x12045,x12046,x12047,x12048,x12041,x12049),f626(x12043,x12044,x12045,x12046,x12047,x12048,x12042,x12049))
% 163.96/163.66 [1205]~E(x12051,x12052)+E(f626(x12053,x12054,x12055,x12056,x12057,x12058,x12059,x12051),f626(x12053,x12054,x12055,x12056,x12057,x12058,x12059,x12052))
% 163.96/163.66 [1206]~E(x12061,x12062)+E(f813(x12061,x12063,x12064),f813(x12062,x12063,x12064))
% 163.96/163.66 [1207]~E(x12071,x12072)+E(f813(x12073,x12071,x12074),f813(x12073,x12072,x12074))
% 163.96/163.66 [1208]~E(x12081,x12082)+E(f813(x12083,x12084,x12081),f813(x12083,x12084,x12082))
% 163.96/163.66 [1209]~E(x12091,x12092)+E(f691(x12091,x12093,x12094,x12095,x12096),f691(x12092,x12093,x12094,x12095,x12096))
% 163.96/163.66 [1210]~E(x12101,x12102)+E(f691(x12103,x12101,x12104,x12105,x12106),f691(x12103,x12102,x12104,x12105,x12106))
% 163.96/163.66 [1211]~E(x12111,x12112)+E(f691(x12113,x12114,x12111,x12115,x12116),f691(x12113,x12114,x12112,x12115,x12116))
% 163.96/163.66 [1212]~E(x12121,x12122)+E(f691(x12123,x12124,x12125,x12121,x12126),f691(x12123,x12124,x12125,x12122,x12126))
% 163.96/163.66 [1213]~E(x12131,x12132)+E(f691(x12133,x12134,x12135,x12136,x12131),f691(x12133,x12134,x12135,x12136,x12132))
% 163.96/163.66 [1214]~E(x12141,x12142)+E(f866(x12141,x12143,x12144,x12145,x12146,x12147),f866(x12142,x12143,x12144,x12145,x12146,x12147))
% 163.96/163.66 [1215]~E(x12151,x12152)+E(f866(x12153,x12151,x12154,x12155,x12156,x12157),f866(x12153,x12152,x12154,x12155,x12156,x12157))
% 163.96/163.66 [1216]~E(x12161,x12162)+E(f866(x12163,x12164,x12161,x12165,x12166,x12167),f866(x12163,x12164,x12162,x12165,x12166,x12167))
% 163.96/163.66 [1217]~E(x12171,x12172)+E(f866(x12173,x12174,x12175,x12171,x12176,x12177),f866(x12173,x12174,x12175,x12172,x12176,x12177))
% 163.96/163.66 [1218]~E(x12181,x12182)+E(f866(x12183,x12184,x12185,x12186,x12181,x12187),f866(x12183,x12184,x12185,x12186,x12182,x12187))
% 163.96/163.66 [1219]~E(x12191,x12192)+E(f866(x12193,x12194,x12195,x12196,x12197,x12191),f866(x12193,x12194,x12195,x12196,x12197,x12192))
% 163.96/163.66 [1220]~E(x12201,x12202)+E(f663(x12201,x12203),f663(x12202,x12203))
% 163.96/163.66 [1221]~E(x12211,x12212)+E(f663(x12213,x12211),f663(x12213,x12212))
% 163.96/163.66 [1222]~E(x12221,x12222)+E(f406(x12221,x12223,x12224,x12225,x12226,x12227),f406(x12222,x12223,x12224,x12225,x12226,x12227))
% 163.96/163.66 [1223]~E(x12231,x12232)+E(f406(x12233,x12231,x12234,x12235,x12236,x12237),f406(x12233,x12232,x12234,x12235,x12236,x12237))
% 163.96/163.66 [1224]~E(x12241,x12242)+E(f406(x12243,x12244,x12241,x12245,x12246,x12247),f406(x12243,x12244,x12242,x12245,x12246,x12247))
% 163.96/163.66 [1225]~E(x12251,x12252)+E(f406(x12253,x12254,x12255,x12251,x12256,x12257),f406(x12253,x12254,x12255,x12252,x12256,x12257))
% 163.96/163.66 [1226]~E(x12261,x12262)+E(f406(x12263,x12264,x12265,x12266,x12261,x12267),f406(x12263,x12264,x12265,x12266,x12262,x12267))
% 163.96/163.66 [1227]~E(x12271,x12272)+E(f406(x12273,x12274,x12275,x12276,x12277,x12271),f406(x12273,x12274,x12275,x12276,x12277,x12272))
% 163.96/163.66 [1228]~E(x12281,x12282)+E(f107(x12281,x12283,x12284),f107(x12282,x12283,x12284))
% 163.96/163.66 [1229]~E(x12291,x12292)+E(f107(x12293,x12291,x12294),f107(x12293,x12292,x12294))
% 163.96/163.66 [1230]~E(x12301,x12302)+E(f107(x12303,x12304,x12301),f107(x12303,x12304,x12302))
% 163.96/163.66 [1231]~E(x12311,x12312)+E(f752(x12311,x12313,x12314),f752(x12312,x12313,x12314))
% 163.96/163.66 [1232]~E(x12321,x12322)+E(f752(x12323,x12321,x12324),f752(x12323,x12322,x12324))
% 163.96/163.66 [1233]~E(x12331,x12332)+E(f752(x12333,x12334,x12331),f752(x12333,x12334,x12332))
% 163.96/163.66 [1234]~E(x12341,x12342)+E(f438(x12341,x12343,x12344),f438(x12342,x12343,x12344))
% 163.96/163.66 [1235]~E(x12351,x12352)+E(f438(x12353,x12351,x12354),f438(x12353,x12352,x12354))
% 163.96/163.66 [1236]~E(x12361,x12362)+E(f438(x12363,x12364,x12361),f438(x12363,x12364,x12362))
% 163.96/163.66 [1237]~E(x12371,x12372)+E(f470(x12371,x12373,x12374),f470(x12372,x12373,x12374))
% 163.96/163.66 [1238]~E(x12381,x12382)+E(f470(x12383,x12381,x12384),f470(x12383,x12382,x12384))
% 163.96/163.66 [1239]~E(x12391,x12392)+E(f470(x12393,x12394,x12391),f470(x12393,x12394,x12392))
% 163.96/163.66 [1240]~E(x12401,x12402)+E(f555(x12401,x12403,x12404),f555(x12402,x12403,x12404))
% 163.96/163.66 [1241]~E(x12411,x12412)+E(f555(x12413,x12411,x12414),f555(x12413,x12412,x12414))
% 163.96/163.66 [1242]~E(x12421,x12422)+E(f555(x12423,x12424,x12421),f555(x12423,x12424,x12422))
% 163.96/163.66 [1243]~E(x12431,x12432)+E(f451(x12431,x12433,x12434),f451(x12432,x12433,x12434))
% 163.96/163.66 [1244]~E(x12441,x12442)+E(f451(x12443,x12441,x12444),f451(x12443,x12442,x12444))
% 163.96/163.66 [1245]~E(x12451,x12452)+E(f451(x12453,x12454,x12451),f451(x12453,x12454,x12452))
% 163.96/163.66 [1246]~E(x12461,x12462)+E(f859(x12461,x12463,x12464),f859(x12462,x12463,x12464))
% 163.96/163.66 [1247]~E(x12471,x12472)+E(f859(x12473,x12471,x12474),f859(x12473,x12472,x12474))
% 163.96/163.66 [1248]~E(x12481,x12482)+E(f859(x12483,x12484,x12481),f859(x12483,x12484,x12482))
% 163.96/163.66 [1249]~E(x12491,x12492)+E(f235(x12491,x12493,x12494,x12495,x12496,x12497),f235(x12492,x12493,x12494,x12495,x12496,x12497))
% 163.96/163.66 [1250]~E(x12501,x12502)+E(f235(x12503,x12501,x12504,x12505,x12506,x12507),f235(x12503,x12502,x12504,x12505,x12506,x12507))
% 163.96/163.66 [1251]~E(x12511,x12512)+E(f235(x12513,x12514,x12511,x12515,x12516,x12517),f235(x12513,x12514,x12512,x12515,x12516,x12517))
% 163.96/163.66 [1252]~E(x12521,x12522)+E(f235(x12523,x12524,x12525,x12521,x12526,x12527),f235(x12523,x12524,x12525,x12522,x12526,x12527))
% 163.96/163.66 [1253]~E(x12531,x12532)+E(f235(x12533,x12534,x12535,x12536,x12531,x12537),f235(x12533,x12534,x12535,x12536,x12532,x12537))
% 163.96/163.66 [1254]~E(x12541,x12542)+E(f235(x12543,x12544,x12545,x12546,x12547,x12541),f235(x12543,x12544,x12545,x12546,x12547,x12542))
% 163.96/163.66 [1255]~E(x12551,x12552)+E(f736(x12551,x12553,x12554,x12555,x12556),f736(x12552,x12553,x12554,x12555,x12556))
% 163.96/163.66 [1256]~E(x12561,x12562)+E(f736(x12563,x12561,x12564,x12565,x12566),f736(x12563,x12562,x12564,x12565,x12566))
% 163.96/163.66 [1257]~E(x12571,x12572)+E(f736(x12573,x12574,x12571,x12575,x12576),f736(x12573,x12574,x12572,x12575,x12576))
% 163.96/163.66 [1258]~E(x12581,x12582)+E(f736(x12583,x12584,x12585,x12581,x12586),f736(x12583,x12584,x12585,x12582,x12586))
% 163.96/163.66 [1259]~E(x12591,x12592)+E(f736(x12593,x12594,x12595,x12596,x12591),f736(x12593,x12594,x12595,x12596,x12592))
% 163.96/163.66 [1260]~E(x12601,x12602)+E(f558(x12601,x12603,x12604),f558(x12602,x12603,x12604))
% 163.96/163.66 [1261]~E(x12611,x12612)+E(f558(x12613,x12611,x12614),f558(x12613,x12612,x12614))
% 163.96/163.66 [1262]~E(x12621,x12622)+E(f558(x12623,x12624,x12621),f558(x12623,x12624,x12622))
% 163.96/163.66 [1263]~E(x12631,x12632)+E(f485(x12631,x12633,x12634,x12635),f485(x12632,x12633,x12634,x12635))
% 163.96/163.66 [1264]~E(x12641,x12642)+E(f485(x12643,x12641,x12644,x12645),f485(x12643,x12642,x12644,x12645))
% 163.96/163.66 [1265]~E(x12651,x12652)+E(f485(x12653,x12654,x12651,x12655),f485(x12653,x12654,x12652,x12655))
% 163.96/163.66 [1266]~E(x12661,x12662)+E(f485(x12663,x12664,x12665,x12661),f485(x12663,x12664,x12665,x12662))
% 163.96/163.66 [1267]~E(x12671,x12672)+E(f180(x12671,x12673,x12674,x12675),f180(x12672,x12673,x12674,x12675))
% 163.96/163.66 [1268]~E(x12681,x12682)+E(f180(x12683,x12681,x12684,x12685),f180(x12683,x12682,x12684,x12685))
% 163.96/163.66 [1269]~E(x12691,x12692)+E(f180(x12693,x12694,x12691,x12695),f180(x12693,x12694,x12692,x12695))
% 163.96/163.66 [1270]~E(x12701,x12702)+E(f180(x12703,x12704,x12705,x12701),f180(x12703,x12704,x12705,x12702))
% 163.96/163.66 [1271]~E(x12711,x12712)+E(f789(x12711,x12713,x12714),f789(x12712,x12713,x12714))
% 163.96/163.66 [1272]~E(x12721,x12722)+E(f789(x12723,x12721,x12724),f789(x12723,x12722,x12724))
% 163.96/163.66 [1273]~E(x12731,x12732)+E(f789(x12733,x12734,x12731),f789(x12733,x12734,x12732))
% 163.96/163.66 [1274]~E(x12741,x12742)+E(f456(x12741,x12743,x12744,x12745,x12746),f456(x12742,x12743,x12744,x12745,x12746))
% 163.96/163.66 [1275]~E(x12751,x12752)+E(f456(x12753,x12751,x12754,x12755,x12756),f456(x12753,x12752,x12754,x12755,x12756))
% 163.96/163.66 [1276]~E(x12761,x12762)+E(f456(x12763,x12764,x12761,x12765,x12766),f456(x12763,x12764,x12762,x12765,x12766))
% 163.96/163.66 [1277]~E(x12771,x12772)+E(f456(x12773,x12774,x12775,x12771,x12776),f456(x12773,x12774,x12775,x12772,x12776))
% 163.96/163.66 [1278]~E(x12781,x12782)+E(f456(x12783,x12784,x12785,x12786,x12781),f456(x12783,x12784,x12785,x12786,x12782))
% 163.96/163.66 [1279]~E(x12791,x12792)+E(f686(x12791,x12793,x12794,x12795,x12796),f686(x12792,x12793,x12794,x12795,x12796))
% 163.96/163.66 [1280]~E(x12801,x12802)+E(f686(x12803,x12801,x12804,x12805,x12806),f686(x12803,x12802,x12804,x12805,x12806))
% 163.96/163.66 [1281]~E(x12811,x12812)+E(f686(x12813,x12814,x12811,x12815,x12816),f686(x12813,x12814,x12812,x12815,x12816))
% 163.96/163.66 [1282]~E(x12821,x12822)+E(f686(x12823,x12824,x12825,x12821,x12826),f686(x12823,x12824,x12825,x12822,x12826))
% 163.96/163.66 [1283]~E(x12831,x12832)+E(f686(x12833,x12834,x12835,x12836,x12831),f686(x12833,x12834,x12835,x12836,x12832))
% 163.96/163.66 [1284]~E(x12841,x12842)+E(f872(x12841,x12843,x12844,x12845),f872(x12842,x12843,x12844,x12845))
% 163.96/163.66 [1285]~E(x12851,x12852)+E(f872(x12853,x12851,x12854,x12855),f872(x12853,x12852,x12854,x12855))
% 163.96/163.66 [1286]~E(x12861,x12862)+E(f872(x12863,x12864,x12861,x12865),f872(x12863,x12864,x12862,x12865))
% 163.96/163.66 [1287]~E(x12871,x12872)+E(f872(x12873,x12874,x12875,x12871),f872(x12873,x12874,x12875,x12872))
% 163.96/163.66 [1288]~E(x12881,x12882)+E(f855(x12881,x12883,x12884,x12885),f855(x12882,x12883,x12884,x12885))
% 163.96/163.66 [1289]~E(x12891,x12892)+E(f855(x12893,x12891,x12894,x12895),f855(x12893,x12892,x12894,x12895))
% 163.96/163.66 [1290]~E(x12901,x12902)+E(f855(x12903,x12904,x12901,x12905),f855(x12903,x12904,x12902,x12905))
% 163.96/163.66 [1291]~E(x12911,x12912)+E(f855(x12913,x12914,x12915,x12911),f855(x12913,x12914,x12915,x12912))
% 163.96/163.66 [1292]~E(x12921,x12922)+E(f551(x12921,x12923,x12924),f551(x12922,x12923,x12924))
% 163.96/163.66 [1293]~E(x12931,x12932)+E(f551(x12933,x12931,x12934),f551(x12933,x12932,x12934))
% 163.96/163.66 [1294]~E(x12941,x12942)+E(f551(x12943,x12944,x12941),f551(x12943,x12944,x12942))
% 163.96/163.66 [1295]~E(x12951,x12952)+E(f800(x12951),f800(x12952))
% 163.96/163.66 [1296]~E(x12961,x12962)+E(f357(x12961,x12963,x12964,x12965,x12966),f357(x12962,x12963,x12964,x12965,x12966))
% 163.96/163.66 [1297]~E(x12971,x12972)+E(f357(x12973,x12971,x12974,x12975,x12976),f357(x12973,x12972,x12974,x12975,x12976))
% 163.96/163.66 [1298]~E(x12981,x12982)+E(f357(x12983,x12984,x12981,x12985,x12986),f357(x12983,x12984,x12982,x12985,x12986))
% 163.96/163.66 [1299]~E(x12991,x12992)+E(f357(x12993,x12994,x12995,x12991,x12996),f357(x12993,x12994,x12995,x12992,x12996))
% 163.96/163.66 [1300]~E(x13001,x13002)+E(f357(x13003,x13004,x13005,x13006,x13001),f357(x13003,x13004,x13005,x13006,x13002))
% 163.96/163.66 [1301]~E(x13011,x13012)+E(f355(x13011,x13013,x13014,x13015,x13016),f355(x13012,x13013,x13014,x13015,x13016))
% 163.96/163.66 [1302]~E(x13021,x13022)+E(f355(x13023,x13021,x13024,x13025,x13026),f355(x13023,x13022,x13024,x13025,x13026))
% 163.96/163.66 [1303]~E(x13031,x13032)+E(f355(x13033,x13034,x13031,x13035,x13036),f355(x13033,x13034,x13032,x13035,x13036))
% 163.96/163.66 [1304]~E(x13041,x13042)+E(f355(x13043,x13044,x13045,x13041,x13046),f355(x13043,x13044,x13045,x13042,x13046))
% 163.96/163.66 [1305]~E(x13051,x13052)+E(f355(x13053,x13054,x13055,x13056,x13051),f355(x13053,x13054,x13055,x13056,x13052))
% 163.96/163.66 [1306]~E(x13061,x13062)+E(f145(x13061,x13063,x13064),f145(x13062,x13063,x13064))
% 163.96/163.66 [1307]~E(x13071,x13072)+E(f145(x13073,x13071,x13074),f145(x13073,x13072,x13074))
% 163.96/163.66 [1308]~E(x13081,x13082)+E(f145(x13083,x13084,x13081),f145(x13083,x13084,x13082))
% 163.96/163.66 [1309]~E(x13091,x13092)+E(f208(x13091,x13093),f208(x13092,x13093))
% 163.96/163.66 [1310]~E(x13101,x13102)+E(f208(x13103,x13101),f208(x13103,x13102))
% 163.96/163.66 [1311]~E(x13111,x13112)+E(f751(x13111,x13113,x13114),f751(x13112,x13113,x13114))
% 163.96/163.66 [1312]~E(x13121,x13122)+E(f751(x13123,x13121,x13124),f751(x13123,x13122,x13124))
% 163.96/163.66 [1313]~E(x13131,x13132)+E(f751(x13133,x13134,x13131),f751(x13133,x13134,x13132))
% 163.96/163.66 [1314]~E(x13141,x13142)+E(f642(x13141,x13143,x13144),f642(x13142,x13143,x13144))
% 163.96/163.66 [1315]~E(x13151,x13152)+E(f642(x13153,x13151,x13154),f642(x13153,x13152,x13154))
% 163.96/163.66 [1316]~E(x13161,x13162)+E(f642(x13163,x13164,x13161),f642(x13163,x13164,x13162))
% 163.96/163.66 [1317]~E(x13171,x13172)+E(f320(x13171,x13173,x13174,x13175),f320(x13172,x13173,x13174,x13175))
% 163.96/163.66 [1318]~E(x13181,x13182)+E(f320(x13183,x13181,x13184,x13185),f320(x13183,x13182,x13184,x13185))
% 163.96/163.66 [1319]~E(x13191,x13192)+E(f320(x13193,x13194,x13191,x13195),f320(x13193,x13194,x13192,x13195))
% 163.96/163.66 [1320]~E(x13201,x13202)+E(f320(x13203,x13204,x13205,x13201),f320(x13203,x13204,x13205,x13202))
% 163.96/163.66 [1321]~E(x13211,x13212)+E(f635(x13211,x13213,x13214,x13215,x13216,x13217),f635(x13212,x13213,x13214,x13215,x13216,x13217))
% 163.96/163.66 [1322]~E(x13221,x13222)+E(f635(x13223,x13221,x13224,x13225,x13226,x13227),f635(x13223,x13222,x13224,x13225,x13226,x13227))
% 163.96/163.66 [1323]~E(x13231,x13232)+E(f635(x13233,x13234,x13231,x13235,x13236,x13237),f635(x13233,x13234,x13232,x13235,x13236,x13237))
% 163.96/163.66 [1324]~E(x13241,x13242)+E(f635(x13243,x13244,x13245,x13241,x13246,x13247),f635(x13243,x13244,x13245,x13242,x13246,x13247))
% 163.96/163.66 [1325]~E(x13251,x13252)+E(f635(x13253,x13254,x13255,x13256,x13251,x13257),f635(x13253,x13254,x13255,x13256,x13252,x13257))
% 163.96/163.66 [1326]~E(x13261,x13262)+E(f635(x13263,x13264,x13265,x13266,x13267,x13261),f635(x13263,x13264,x13265,x13266,x13267,x13262))
% 163.96/163.66 [1327]~E(x13271,x13272)+E(f705(x13271,x13273,x13274),f705(x13272,x13273,x13274))
% 163.96/163.66 [1328]~E(x13281,x13282)+E(f705(x13283,x13281,x13284),f705(x13283,x13282,x13284))
% 163.96/163.66 [1329]~E(x13291,x13292)+E(f705(x13293,x13294,x13291),f705(x13293,x13294,x13292))
% 163.96/163.66 [1330]~E(x13301,x13302)+E(f765(x13301,x13303,x13304,x13305),f765(x13302,x13303,x13304,x13305))
% 163.96/163.66 [1331]~E(x13311,x13312)+E(f765(x13313,x13311,x13314,x13315),f765(x13313,x13312,x13314,x13315))
% 163.96/163.66 [1332]~E(x13321,x13322)+E(f765(x13323,x13324,x13321,x13325),f765(x13323,x13324,x13322,x13325))
% 163.96/163.66 [1333]~E(x13331,x13332)+E(f765(x13333,x13334,x13335,x13331),f765(x13333,x13334,x13335,x13332))
% 163.96/163.66 [1334]~E(x13341,x13342)+E(f68(x13341,x13343,x13344,x13345,x13346),f68(x13342,x13343,x13344,x13345,x13346))
% 163.96/163.66 [1335]~E(x13351,x13352)+E(f68(x13353,x13351,x13354,x13355,x13356),f68(x13353,x13352,x13354,x13355,x13356))
% 163.96/163.66 [1336]~E(x13361,x13362)+E(f68(x13363,x13364,x13361,x13365,x13366),f68(x13363,x13364,x13362,x13365,x13366))
% 163.96/163.66 [1337]~E(x13371,x13372)+E(f68(x13373,x13374,x13375,x13371,x13376),f68(x13373,x13374,x13375,x13372,x13376))
% 163.96/163.66 [1338]~E(x13381,x13382)+E(f68(x13383,x13384,x13385,x13386,x13381),f68(x13383,x13384,x13385,x13386,x13382))
% 163.96/163.66 [1339]~E(x13391,x13392)+E(f636(x13391,x13393,x13394,x13395,x13396,x13397),f636(x13392,x13393,x13394,x13395,x13396,x13397))
% 163.96/163.66 [1340]~E(x13401,x13402)+E(f636(x13403,x13401,x13404,x13405,x13406,x13407),f636(x13403,x13402,x13404,x13405,x13406,x13407))
% 163.96/163.66 [1341]~E(x13411,x13412)+E(f636(x13413,x13414,x13411,x13415,x13416,x13417),f636(x13413,x13414,x13412,x13415,x13416,x13417))
% 163.96/163.66 [1342]~E(x13421,x13422)+E(f636(x13423,x13424,x13425,x13421,x13426,x13427),f636(x13423,x13424,x13425,x13422,x13426,x13427))
% 163.96/163.66 [1343]~E(x13431,x13432)+E(f636(x13433,x13434,x13435,x13436,x13431,x13437),f636(x13433,x13434,x13435,x13436,x13432,x13437))
% 163.96/163.66 [1344]~E(x13441,x13442)+E(f636(x13443,x13444,x13445,x13446,x13447,x13441),f636(x13443,x13444,x13445,x13446,x13447,x13442))
% 163.96/163.66 [1345]~E(x13451,x13452)+E(f647(x13451,x13453,x13454,x13455,x13456),f647(x13452,x13453,x13454,x13455,x13456))
% 163.96/163.66 [1346]~E(x13461,x13462)+E(f647(x13463,x13461,x13464,x13465,x13466),f647(x13463,x13462,x13464,x13465,x13466))
% 163.96/163.66 [1347]~E(x13471,x13472)+E(f647(x13473,x13474,x13471,x13475,x13476),f647(x13473,x13474,x13472,x13475,x13476))
% 163.96/163.66 [1348]~E(x13481,x13482)+E(f647(x13483,x13484,x13485,x13481,x13486),f647(x13483,x13484,x13485,x13482,x13486))
% 163.96/163.66 [1349]~E(x13491,x13492)+E(f647(x13493,x13494,x13495,x13496,x13491),f647(x13493,x13494,x13495,x13496,x13492))
% 163.96/163.66 [1350]~E(x13501,x13502)+E(f816(x13501,x13503,x13504),f816(x13502,x13503,x13504))
% 163.96/163.66 [1351]~E(x13511,x13512)+E(f816(x13513,x13511,x13514),f816(x13513,x13512,x13514))
% 163.96/163.66 [1352]~E(x13521,x13522)+E(f816(x13523,x13524,x13521),f816(x13523,x13524,x13522))
% 163.96/163.66 [1353]~E(x13531,x13532)+E(f418(x13531),f418(x13532))
% 163.96/163.66 [1354]~E(x13541,x13542)+E(f261(x13541,x13543),f261(x13542,x13543))
% 163.96/163.66 [1355]~E(x13551,x13552)+E(f261(x13553,x13551),f261(x13553,x13552))
% 163.96/163.66 [1356]~E(x13561,x13562)+E(f429(x13561,x13563,x13564),f429(x13562,x13563,x13564))
% 163.96/163.66 [1357]~E(x13571,x13572)+E(f429(x13573,x13571,x13574),f429(x13573,x13572,x13574))
% 163.96/163.66 [1358]~E(x13581,x13582)+E(f429(x13583,x13584,x13581),f429(x13583,x13584,x13582))
% 163.96/163.66 [1359]~E(x13591,x13592)+E(f561(x13591,x13593,x13594),f561(x13592,x13593,x13594))
% 163.96/163.66 [1360]~E(x13601,x13602)+E(f561(x13603,x13601,x13604),f561(x13603,x13602,x13604))
% 163.96/163.66 [1361]~E(x13611,x13612)+E(f561(x13613,x13614,x13611),f561(x13613,x13614,x13612))
% 163.96/163.66 [1362]~E(x13621,x13622)+E(f382(x13621,x13623,x13624),f382(x13622,x13623,x13624))
% 163.96/163.66 [1363]~E(x13631,x13632)+E(f382(x13633,x13631,x13634),f382(x13633,x13632,x13634))
% 163.96/163.66 [1364]~E(x13641,x13642)+E(f382(x13643,x13644,x13641),f382(x13643,x13644,x13642))
% 163.96/163.66 [1365]~E(x13651,x13652)+E(f469(x13651,x13653,x13654),f469(x13652,x13653,x13654))
% 163.96/163.66 [1366]~E(x13661,x13662)+E(f469(x13663,x13661,x13664),f469(x13663,x13662,x13664))
% 163.96/163.66 [1367]~E(x13671,x13672)+E(f469(x13673,x13674,x13671),f469(x13673,x13674,x13672))
% 163.96/163.66 [1368]~E(x13681,x13682)+E(f674(x13681,x13683,x13684,x13685,x13686),f674(x13682,x13683,x13684,x13685,x13686))
% 163.96/163.66 [1369]~E(x13691,x13692)+E(f674(x13693,x13691,x13694,x13695,x13696),f674(x13693,x13692,x13694,x13695,x13696))
% 163.96/163.66 [1370]~E(x13701,x13702)+E(f674(x13703,x13704,x13701,x13705,x13706),f674(x13703,x13704,x13702,x13705,x13706))
% 163.96/163.66 [1371]~E(x13711,x13712)+E(f674(x13713,x13714,x13715,x13711,x13716),f674(x13713,x13714,x13715,x13712,x13716))
% 163.96/163.66 [1372]~E(x13721,x13722)+E(f674(x13723,x13724,x13725,x13726,x13721),f674(x13723,x13724,x13725,x13726,x13722))
% 163.96/163.66 [1373]~E(x13731,x13732)+E(f217(x13731,x13733),f217(x13732,x13733))
% 163.96/163.66 [1374]~E(x13741,x13742)+E(f217(x13743,x13741),f217(x13743,x13742))
% 163.96/163.66 [1375]~E(x13751,x13752)+E(f541(x13751,x13753,x13754,x13755,x13756,x13757),f541(x13752,x13753,x13754,x13755,x13756,x13757))
% 163.96/163.66 [1376]~E(x13761,x13762)+E(f541(x13763,x13761,x13764,x13765,x13766,x13767),f541(x13763,x13762,x13764,x13765,x13766,x13767))
% 163.96/163.66 [1377]~E(x13771,x13772)+E(f541(x13773,x13774,x13771,x13775,x13776,x13777),f541(x13773,x13774,x13772,x13775,x13776,x13777))
% 163.96/163.66 [1378]~E(x13781,x13782)+E(f541(x13783,x13784,x13785,x13781,x13786,x13787),f541(x13783,x13784,x13785,x13782,x13786,x13787))
% 163.96/163.66 [1379]~E(x13791,x13792)+E(f541(x13793,x13794,x13795,x13796,x13791,x13797),f541(x13793,x13794,x13795,x13796,x13792,x13797))
% 163.96/163.66 [1380]~E(x13801,x13802)+E(f541(x13803,x13804,x13805,x13806,x13807,x13801),f541(x13803,x13804,x13805,x13806,x13807,x13802))
% 163.96/163.66 [1381]~E(x13811,x13812)+E(f67(x13811,x13813),f67(x13812,x13813))
% 163.96/163.66 [1382]~E(x13821,x13822)+E(f67(x13823,x13821),f67(x13823,x13822))
% 163.96/163.66 [1383]~E(x13831,x13832)+E(f608(x13831,x13833,x13834,x13835,x13836),f608(x13832,x13833,x13834,x13835,x13836))
% 163.96/163.66 [1384]~E(x13841,x13842)+E(f608(x13843,x13841,x13844,x13845,x13846),f608(x13843,x13842,x13844,x13845,x13846))
% 163.96/163.66 [1385]~E(x13851,x13852)+E(f608(x13853,x13854,x13851,x13855,x13856),f608(x13853,x13854,x13852,x13855,x13856))
% 163.96/163.66 [1386]~E(x13861,x13862)+E(f608(x13863,x13864,x13865,x13861,x13866),f608(x13863,x13864,x13865,x13862,x13866))
% 163.96/163.66 [1387]~E(x13871,x13872)+E(f608(x13873,x13874,x13875,x13876,x13871),f608(x13873,x13874,x13875,x13876,x13872))
% 163.96/163.66 [1388]~E(x13881,x13882)+E(f267(x13881),f267(x13882))
% 163.96/163.66 [1389]~E(x13891,x13892)+E(f301(x13891,x13893),f301(x13892,x13893))
% 163.96/163.66 [1390]~E(x13901,x13902)+E(f301(x13903,x13901),f301(x13903,x13902))
% 163.96/163.66 [1391]~E(x13911,x13912)+E(f805(x13911,x13913,x13914,x13915,x13916,x13917),f805(x13912,x13913,x13914,x13915,x13916,x13917))
% 163.96/163.66 [1392]~E(x13921,x13922)+E(f805(x13923,x13921,x13924,x13925,x13926,x13927),f805(x13923,x13922,x13924,x13925,x13926,x13927))
% 163.96/163.66 [1393]~E(x13931,x13932)+E(f805(x13933,x13934,x13931,x13935,x13936,x13937),f805(x13933,x13934,x13932,x13935,x13936,x13937))
% 163.96/163.66 [1394]~E(x13941,x13942)+E(f805(x13943,x13944,x13945,x13941,x13946,x13947),f805(x13943,x13944,x13945,x13942,x13946,x13947))
% 163.96/163.66 [1395]~E(x13951,x13952)+E(f805(x13953,x13954,x13955,x13956,x13951,x13957),f805(x13953,x13954,x13955,x13956,x13952,x13957))
% 163.96/163.66 [1396]~E(x13961,x13962)+E(f805(x13963,x13964,x13965,x13966,x13967,x13961),f805(x13963,x13964,x13965,x13966,x13967,x13962))
% 163.96/163.66 [1397]~E(x13971,x13972)+E(f358(x13971,x13973,x13974,x13975),f358(x13972,x13973,x13974,x13975))
% 163.96/163.66 [1398]~E(x13981,x13982)+E(f358(x13983,x13981,x13984,x13985),f358(x13983,x13982,x13984,x13985))
% 163.96/163.66 [1399]~E(x13991,x13992)+E(f358(x13993,x13994,x13991,x13995),f358(x13993,x13994,x13992,x13995))
% 163.96/163.66 [1400]~E(x14001,x14002)+E(f358(x14003,x14004,x14005,x14001),f358(x14003,x14004,x14005,x14002))
% 163.96/163.66 [1401]~E(x14011,x14012)+E(f339(x14011,x14013,x14014,x14015,x14016),f339(x14012,x14013,x14014,x14015,x14016))
% 163.96/163.66 [1402]~E(x14021,x14022)+E(f339(x14023,x14021,x14024,x14025,x14026),f339(x14023,x14022,x14024,x14025,x14026))
% 163.96/163.66 [1403]~E(x14031,x14032)+E(f339(x14033,x14034,x14031,x14035,x14036),f339(x14033,x14034,x14032,x14035,x14036))
% 163.96/163.66 [1404]~E(x14041,x14042)+E(f339(x14043,x14044,x14045,x14041,x14046),f339(x14043,x14044,x14045,x14042,x14046))
% 163.96/163.66 [1405]~E(x14051,x14052)+E(f339(x14053,x14054,x14055,x14056,x14051),f339(x14053,x14054,x14055,x14056,x14052))
% 163.96/163.66 [1406]~E(x14061,x14062)+E(f363(x14061,x14063),f363(x14062,x14063))
% 163.96/163.66 [1407]~E(x14071,x14072)+E(f363(x14073,x14071),f363(x14073,x14072))
% 163.96/163.66 [1408]~E(x14081,x14082)+E(f653(x14081,x14083,x14084),f653(x14082,x14083,x14084))
% 163.96/163.66 [1409]~E(x14091,x14092)+E(f653(x14093,x14091,x14094),f653(x14093,x14092,x14094))
% 163.96/163.66 [1410]~E(x14101,x14102)+E(f653(x14103,x14104,x14101),f653(x14103,x14104,x14102))
% 163.96/163.66 [1411]~E(x14111,x14112)+E(f336(x14111,x14113,x14114),f336(x14112,x14113,x14114))
% 163.96/163.66 [1412]~E(x14121,x14122)+E(f336(x14123,x14121,x14124),f336(x14123,x14122,x14124))
% 163.96/163.66 [1413]~E(x14131,x14132)+E(f336(x14133,x14134,x14131),f336(x14133,x14134,x14132))
% 163.96/163.66 [1414]~E(x14141,x14142)+E(f879(x14141,x14143,x14144,x14145),f879(x14142,x14143,x14144,x14145))
% 163.96/163.66 [1415]~E(x14151,x14152)+E(f879(x14153,x14151,x14154,x14155),f879(x14153,x14152,x14154,x14155))
% 163.96/163.66 [1416]~E(x14161,x14162)+E(f879(x14163,x14164,x14161,x14165),f879(x14163,x14164,x14162,x14165))
% 163.96/163.66 [1417]~E(x14171,x14172)+E(f879(x14173,x14174,x14175,x14171),f879(x14173,x14174,x14175,x14172))
% 163.96/163.66 [1418]~E(x14181,x14182)+E(f690(x14181,x14183,x14184,x14185),f690(x14182,x14183,x14184,x14185))
% 163.96/163.66 [1419]~E(x14191,x14192)+E(f690(x14193,x14191,x14194,x14195),f690(x14193,x14192,x14194,x14195))
% 163.96/163.66 [1420]~E(x14201,x14202)+E(f690(x14203,x14204,x14201,x14205),f690(x14203,x14204,x14202,x14205))
% 163.96/163.66 [1421]~E(x14211,x14212)+E(f690(x14213,x14214,x14215,x14211),f690(x14213,x14214,x14215,x14212))
% 163.96/163.66 [1422]~E(x14221,x14222)+E(f196(x14221,x14223,x14224,x14225),f196(x14222,x14223,x14224,x14225))
% 163.96/163.66 [1423]~E(x14231,x14232)+E(f196(x14233,x14231,x14234,x14235),f196(x14233,x14232,x14234,x14235))
% 163.96/163.66 [1424]~E(x14241,x14242)+E(f196(x14243,x14244,x14241,x14245),f196(x14243,x14244,x14242,x14245))
% 163.96/163.66 [1425]~E(x14251,x14252)+E(f196(x14253,x14254,x14255,x14251),f196(x14253,x14254,x14255,x14252))
% 163.96/163.66 [1426]~E(x14261,x14262)+E(f630(x14261,x14263,x14264,x14265,x14266,x14267,x14268),f630(x14262,x14263,x14264,x14265,x14266,x14267,x14268))
% 163.96/163.66 [1427]~E(x14271,x14272)+E(f630(x14273,x14271,x14274,x14275,x14276,x14277,x14278),f630(x14273,x14272,x14274,x14275,x14276,x14277,x14278))
% 163.96/163.66 [1428]~E(x14281,x14282)+E(f630(x14283,x14284,x14281,x14285,x14286,x14287,x14288),f630(x14283,x14284,x14282,x14285,x14286,x14287,x14288))
% 163.96/163.66 [1429]~E(x14291,x14292)+E(f630(x14293,x14294,x14295,x14291,x14296,x14297,x14298),f630(x14293,x14294,x14295,x14292,x14296,x14297,x14298))
% 163.96/163.66 [1430]~E(x14301,x14302)+E(f630(x14303,x14304,x14305,x14306,x14301,x14307,x14308),f630(x14303,x14304,x14305,x14306,x14302,x14307,x14308))
% 163.96/163.66 [1431]~E(x14311,x14312)+E(f630(x14313,x14314,x14315,x14316,x14317,x14311,x14318),f630(x14313,x14314,x14315,x14316,x14317,x14312,x14318))
% 163.96/163.66 [1432]~E(x14321,x14322)+E(f630(x14323,x14324,x14325,x14326,x14327,x14328,x14321),f630(x14323,x14324,x14325,x14326,x14327,x14328,x14322))
% 163.96/163.66 [1433]~E(x14331,x14332)+E(f823(x14331,x14333,x14334,x14335,x14336),f823(x14332,x14333,x14334,x14335,x14336))
% 163.96/163.66 [1434]~E(x14341,x14342)+E(f823(x14343,x14341,x14344,x14345,x14346),f823(x14343,x14342,x14344,x14345,x14346))
% 163.96/163.66 [1435]~E(x14351,x14352)+E(f823(x14353,x14354,x14351,x14355,x14356),f823(x14353,x14354,x14352,x14355,x14356))
% 163.96/163.66 [1436]~E(x14361,x14362)+E(f823(x14363,x14364,x14365,x14361,x14366),f823(x14363,x14364,x14365,x14362,x14366))
% 163.96/163.66 [1437]~E(x14371,x14372)+E(f823(x14373,x14374,x14375,x14376,x14371),f823(x14373,x14374,x14375,x14376,x14372))
% 163.96/163.66 [1438]~E(x14381,x14382)+E(f153(x14381,x14383,x14384,x14385),f153(x14382,x14383,x14384,x14385))
% 163.96/163.66 [1439]~E(x14391,x14392)+E(f153(x14393,x14391,x14394,x14395),f153(x14393,x14392,x14394,x14395))
% 163.96/163.66 [1440]~E(x14401,x14402)+E(f153(x14403,x14404,x14401,x14405),f153(x14403,x14404,x14402,x14405))
% 163.96/163.66 [1441]~E(x14411,x14412)+E(f153(x14413,x14414,x14415,x14411),f153(x14413,x14414,x14415,x14412))
% 163.96/163.66 [1442]~E(x14421,x14422)+E(f792(x14421,x14423,x14424,x14425,x14426),f792(x14422,x14423,x14424,x14425,x14426))
% 163.96/163.66 [1443]~E(x14431,x14432)+E(f792(x14433,x14431,x14434,x14435,x14436),f792(x14433,x14432,x14434,x14435,x14436))
% 163.96/163.66 [1444]~E(x14441,x14442)+E(f792(x14443,x14444,x14441,x14445,x14446),f792(x14443,x14444,x14442,x14445,x14446))
% 163.96/163.66 [1445]~E(x14451,x14452)+E(f792(x14453,x14454,x14455,x14451,x14456),f792(x14453,x14454,x14455,x14452,x14456))
% 163.96/163.66 [1446]~E(x14461,x14462)+E(f792(x14463,x14464,x14465,x14466,x14461),f792(x14463,x14464,x14465,x14466,x14462))
% 163.96/163.66 [1447]~E(x14471,x14472)+E(f602(x14471,x14473,x14474,x14475),f602(x14472,x14473,x14474,x14475))
% 163.96/163.66 [1448]~E(x14481,x14482)+E(f602(x14483,x14481,x14484,x14485),f602(x14483,x14482,x14484,x14485))
% 163.96/163.66 [1449]~E(x14491,x14492)+E(f602(x14493,x14494,x14491,x14495),f602(x14493,x14494,x14492,x14495))
% 163.96/163.66 [1450]~E(x14501,x14502)+E(f602(x14503,x14504,x14505,x14501),f602(x14503,x14504,x14505,x14502))
% 163.96/163.66 [1451]~E(x14511,x14512)+E(f433(x14511,x14513,x14514),f433(x14512,x14513,x14514))
% 163.96/163.66 [1452]~E(x14521,x14522)+E(f433(x14523,x14521,x14524),f433(x14523,x14522,x14524))
% 163.96/163.66 [1453]~E(x14531,x14532)+E(f433(x14533,x14534,x14531),f433(x14533,x14534,x14532))
% 163.96/163.66 [1454]~E(x14541,x14542)+E(f259(x14541,x14543),f259(x14542,x14543))
% 163.96/163.66 [1455]~E(x14551,x14552)+E(f259(x14553,x14551),f259(x14553,x14552))
% 163.96/163.66 [1456]~E(x14561,x14562)+E(f770(x14561,x14563,x14564,x14565,x14566),f770(x14562,x14563,x14564,x14565,x14566))
% 163.96/163.66 [1457]~E(x14571,x14572)+E(f770(x14573,x14571,x14574,x14575,x14576),f770(x14573,x14572,x14574,x14575,x14576))
% 163.96/163.66 [1458]~E(x14581,x14582)+E(f770(x14583,x14584,x14581,x14585,x14586),f770(x14583,x14584,x14582,x14585,x14586))
% 163.96/163.66 [1459]~E(x14591,x14592)+E(f770(x14593,x14594,x14595,x14591,x14596),f770(x14593,x14594,x14595,x14592,x14596))
% 163.96/163.66 [1460]~E(x14601,x14602)+E(f770(x14603,x14604,x14605,x14606,x14601),f770(x14603,x14604,x14605,x14606,x14602))
% 163.96/163.66 [1461]~E(x14611,x14612)+E(f266(x14611,x14613,x14614,x14615),f266(x14612,x14613,x14614,x14615))
% 163.96/163.66 [1462]~E(x14621,x14622)+E(f266(x14623,x14621,x14624,x14625),f266(x14623,x14622,x14624,x14625))
% 163.96/163.66 [1463]~E(x14631,x14632)+E(f266(x14633,x14634,x14631,x14635),f266(x14633,x14634,x14632,x14635))
% 163.96/163.66 [1464]~E(x14641,x14642)+E(f266(x14643,x14644,x14645,x14641),f266(x14643,x14644,x14645,x14642))
% 163.96/163.66 [1465]~E(x14651,x14652)+E(f594(x14651,x14653,x14654,x14655),f594(x14652,x14653,x14654,x14655))
% 163.96/163.66 [1466]~E(x14661,x14662)+E(f594(x14663,x14661,x14664,x14665),f594(x14663,x14662,x14664,x14665))
% 163.96/163.66 [1467]~E(x14671,x14672)+E(f594(x14673,x14674,x14671,x14675),f594(x14673,x14674,x14672,x14675))
% 163.96/163.66 [1468]~E(x14681,x14682)+E(f594(x14683,x14684,x14685,x14681),f594(x14683,x14684,x14685,x14682))
% 163.96/163.66 [1469]~E(x14691,x14692)+E(f605(x14691,x14693,x14694,x14695,x14696),f605(x14692,x14693,x14694,x14695,x14696))
% 163.96/163.66 [1470]~E(x14701,x14702)+E(f605(x14703,x14701,x14704,x14705,x14706),f605(x14703,x14702,x14704,x14705,x14706))
% 163.96/163.66 [1471]~E(x14711,x14712)+E(f605(x14713,x14714,x14711,x14715,x14716),f605(x14713,x14714,x14712,x14715,x14716))
% 163.96/163.66 [1472]~E(x14721,x14722)+E(f605(x14723,x14724,x14725,x14721,x14726),f605(x14723,x14724,x14725,x14722,x14726))
% 163.96/163.66 [1473]~E(x14731,x14732)+E(f605(x14733,x14734,x14735,x14736,x14731),f605(x14733,x14734,x14735,x14736,x14732))
% 163.96/163.66 [1474]~E(x14741,x14742)+E(f437(x14741,x14743,x14744),f437(x14742,x14743,x14744))
% 163.96/163.66 [1475]~E(x14751,x14752)+E(f437(x14753,x14751,x14754),f437(x14753,x14752,x14754))
% 163.96/163.66 [1476]~E(x14761,x14762)+E(f437(x14763,x14764,x14761),f437(x14763,x14764,x14762))
% 163.96/163.66 [1477]~E(x14771,x14772)+E(f136(x14771,x14773),f136(x14772,x14773))
% 163.96/163.66 [1478]~E(x14781,x14782)+E(f136(x14783,x14781),f136(x14783,x14782))
% 163.96/163.66 [1479]~E(x14791,x14792)+E(f571(x14791,x14793),f571(x14792,x14793))
% 163.96/163.66 [1480]~E(x14801,x14802)+E(f571(x14803,x14801),f571(x14803,x14802))
% 163.96/163.66 [1481]~E(x14811,x14812)+E(f713(x14811,x14813),f713(x14812,x14813))
% 163.96/163.66 [1482]~E(x14821,x14822)+E(f713(x14823,x14821),f713(x14823,x14822))
% 163.96/163.66 [1483]~E(x14831,x14832)+E(f477(x14831,x14833,x14834,x14835,x14836),f477(x14832,x14833,x14834,x14835,x14836))
% 163.96/163.66 [1484]~E(x14841,x14842)+E(f477(x14843,x14841,x14844,x14845,x14846),f477(x14843,x14842,x14844,x14845,x14846))
% 163.96/163.66 [1485]~E(x14851,x14852)+E(f477(x14853,x14854,x14851,x14855,x14856),f477(x14853,x14854,x14852,x14855,x14856))
% 163.96/163.66 [1486]~E(x14861,x14862)+E(f477(x14863,x14864,x14865,x14861,x14866),f477(x14863,x14864,x14865,x14862,x14866))
% 163.96/163.66 [1487]~E(x14871,x14872)+E(f477(x14873,x14874,x14875,x14876,x14871),f477(x14873,x14874,x14875,x14876,x14872))
% 163.96/163.66 [1488]~E(x14881,x14882)+E(f434(x14881,x14883,x14884),f434(x14882,x14883,x14884))
% 163.96/163.66 [1489]~E(x14891,x14892)+E(f434(x14893,x14891,x14894),f434(x14893,x14892,x14894))
% 163.96/163.66 [1490]~E(x14901,x14902)+E(f434(x14903,x14904,x14901),f434(x14903,x14904,x14902))
% 163.96/163.66 [1491]~E(x14911,x14912)+E(f704(x14911,x14913,x14914),f704(x14912,x14913,x14914))
% 163.96/163.66 [1492]~E(x14921,x14922)+E(f704(x14923,x14921,x14924),f704(x14923,x14922,x14924))
% 163.96/163.66 [1493]~E(x14931,x14932)+E(f704(x14933,x14934,x14931),f704(x14933,x14934,x14932))
% 163.96/163.66 [1494]~E(x14941,x14942)+E(f175(x14941,x14943,x14944,x14945),f175(x14942,x14943,x14944,x14945))
% 163.96/163.66 [1495]~E(x14951,x14952)+E(f175(x14953,x14951,x14954,x14955),f175(x14953,x14952,x14954,x14955))
% 163.96/163.66 [1496]~E(x14961,x14962)+E(f175(x14963,x14964,x14961,x14965),f175(x14963,x14964,x14962,x14965))
% 163.96/163.66 [1497]~E(x14971,x14972)+E(f175(x14973,x14974,x14975,x14971),f175(x14973,x14974,x14975,x14972))
% 163.96/163.66 [1498]~E(x14981,x14982)+E(f688(x14981,x14983),f688(x14982,x14983))
% 163.96/163.66 [1499]~E(x14991,x14992)+E(f688(x14993,x14991),f688(x14993,x14992))
% 163.96/163.66 [1500]~E(x15001,x15002)+E(f215(x15001,x15003,x15004,x15005,x15006),f215(x15002,x15003,x15004,x15005,x15006))
% 163.96/163.66 [1501]~E(x15011,x15012)+E(f215(x15013,x15011,x15014,x15015,x15016),f215(x15013,x15012,x15014,x15015,x15016))
% 163.96/163.66 [1502]~E(x15021,x15022)+E(f215(x15023,x15024,x15021,x15025,x15026),f215(x15023,x15024,x15022,x15025,x15026))
% 163.96/163.66 [1503]~E(x15031,x15032)+E(f215(x15033,x15034,x15035,x15031,x15036),f215(x15033,x15034,x15035,x15032,x15036))
% 163.96/163.66 [1504]~E(x15041,x15042)+E(f215(x15043,x15044,x15045,x15046,x15041),f215(x15043,x15044,x15045,x15046,x15042))
% 163.96/163.66 [1505]~E(x15051,x15052)+E(f631(x15051,x15053,x15054,x15055,x15056,x15057,x15058),f631(x15052,x15053,x15054,x15055,x15056,x15057,x15058))
% 163.96/163.66 [1506]~E(x15061,x15062)+E(f631(x15063,x15061,x15064,x15065,x15066,x15067,x15068),f631(x15063,x15062,x15064,x15065,x15066,x15067,x15068))
% 163.96/163.66 [1507]~E(x15071,x15072)+E(f631(x15073,x15074,x15071,x15075,x15076,x15077,x15078),f631(x15073,x15074,x15072,x15075,x15076,x15077,x15078))
% 163.96/163.66 [1508]~E(x15081,x15082)+E(f631(x15083,x15084,x15085,x15081,x15086,x15087,x15088),f631(x15083,x15084,x15085,x15082,x15086,x15087,x15088))
% 163.96/163.66 [1509]~E(x15091,x15092)+E(f631(x15093,x15094,x15095,x15096,x15091,x15097,x15098),f631(x15093,x15094,x15095,x15096,x15092,x15097,x15098))
% 163.96/163.66 [1510]~E(x15101,x15102)+E(f631(x15103,x15104,x15105,x15106,x15107,x15101,x15108),f631(x15103,x15104,x15105,x15106,x15107,x15102,x15108))
% 163.96/163.66 [1511]~E(x15111,x15112)+E(f631(x15113,x15114,x15115,x15116,x15117,x15118,x15111),f631(x15113,x15114,x15115,x15116,x15117,x15118,x15112))
% 163.96/163.66 [1512]~E(x15121,x15122)+E(f572(x15121,x15123),f572(x15122,x15123))
% 163.96/163.66 [1513]~E(x15131,x15132)+E(f572(x15133,x15131),f572(x15133,x15132))
% 163.96/163.66 [1514]~E(x15141,x15142)+E(f854(x15141,x15143,x15144,x15145),f854(x15142,x15143,x15144,x15145))
% 163.96/163.66 [1515]~E(x15151,x15152)+E(f854(x15153,x15151,x15154,x15155),f854(x15153,x15152,x15154,x15155))
% 163.96/163.66 [1516]~E(x15161,x15162)+E(f854(x15163,x15164,x15161,x15165),f854(x15163,x15164,x15162,x15165))
% 163.96/163.66 [1517]~E(x15171,x15172)+E(f854(x15173,x15174,x15175,x15171),f854(x15173,x15174,x15175,x15172))
% 163.96/163.66 [1518]~E(x15181,x15182)+E(f467(x15181,x15183,x15184),f467(x15182,x15183,x15184))
% 163.96/163.66 [1519]~E(x15191,x15192)+E(f467(x15193,x15191,x15194),f467(x15193,x15192,x15194))
% 163.96/163.66 [1520]~E(x15201,x15202)+E(f467(x15203,x15204,x15201),f467(x15203,x15204,x15202))
% 163.96/163.66 [1521]~E(x15211,x15212)+E(f396(x15211,x15213,x15214),f396(x15212,x15213,x15214))
% 163.96/163.66 [1522]~E(x15221,x15222)+E(f396(x15223,x15221,x15224),f396(x15223,x15222,x15224))
% 163.96/163.66 [1523]~E(x15231,x15232)+E(f396(x15233,x15234,x15231),f396(x15233,x15234,x15232))
% 163.96/163.66 [1524]~E(x15241,x15242)+E(f19(x15241,x15243,x15244,x15245),f19(x15242,x15243,x15244,x15245))
% 163.96/163.66 [1525]~E(x15251,x15252)+E(f19(x15253,x15251,x15254,x15255),f19(x15253,x15252,x15254,x15255))
% 163.96/163.66 [1526]~E(x15261,x15262)+E(f19(x15263,x15264,x15261,x15265),f19(x15263,x15264,x15262,x15265))
% 163.96/163.66 [1527]~E(x15271,x15272)+E(f19(x15273,x15274,x15275,x15271),f19(x15273,x15274,x15275,x15272))
% 163.96/163.66 [1528]~E(x15281,x15282)+E(f612(x15281,x15283,x15284,x15285,x15286),f612(x15282,x15283,x15284,x15285,x15286))
% 163.96/163.66 [1529]~E(x15291,x15292)+E(f612(x15293,x15291,x15294,x15295,x15296),f612(x15293,x15292,x15294,x15295,x15296))
% 163.96/163.66 [1530]~E(x15301,x15302)+E(f612(x15303,x15304,x15301,x15305,x15306),f612(x15303,x15304,x15302,x15305,x15306))
% 163.96/163.66 [1531]~E(x15311,x15312)+E(f612(x15313,x15314,x15315,x15311,x15316),f612(x15313,x15314,x15315,x15312,x15316))
% 163.96/163.66 [1532]~E(x15321,x15322)+E(f612(x15323,x15324,x15325,x15326,x15321),f612(x15323,x15324,x15325,x15326,x15322))
% 163.96/163.66 [1533]~E(x15331,x15332)+E(f598(x15331,x15333,x15334),f598(x15332,x15333,x15334))
% 163.96/163.66 [1534]~E(x15341,x15342)+E(f598(x15343,x15341,x15344),f598(x15343,x15342,x15344))
% 163.96/163.66 [1535]~E(x15351,x15352)+E(f598(x15353,x15354,x15351),f598(x15353,x15354,x15352))
% 163.96/163.66 [1536]~E(x15361,x15362)+E(f719(x15361,x15363),f719(x15362,x15363))
% 163.96/163.66 [1537]~E(x15371,x15372)+E(f719(x15373,x15371),f719(x15373,x15372))
% 163.96/163.66 [1538]~E(x15381,x15382)+E(f238(x15381,x15383,x15384),f238(x15382,x15383,x15384))
% 163.96/163.66 [1539]~E(x15391,x15392)+E(f238(x15393,x15391,x15394),f238(x15393,x15392,x15394))
% 163.96/163.66 [1540]~E(x15401,x15402)+E(f238(x15403,x15404,x15401),f238(x15403,x15404,x15402))
% 163.96/163.66 [1541]~E(x15411,x15412)+E(f709(x15411,x15413,x15414),f709(x15412,x15413,x15414))
% 163.96/163.66 [1542]~E(x15421,x15422)+E(f709(x15423,x15421,x15424),f709(x15423,x15422,x15424))
% 163.96/163.66 [1543]~E(x15431,x15432)+E(f709(x15433,x15434,x15431),f709(x15433,x15434,x15432))
% 163.96/163.66 [1544]~E(x15441,x15442)+E(f346(x15441,x15443,x15444,x15445,x15446),f346(x15442,x15443,x15444,x15445,x15446))
% 163.96/163.66 [1545]~E(x15451,x15452)+E(f346(x15453,x15451,x15454,x15455,x15456),f346(x15453,x15452,x15454,x15455,x15456))
% 163.96/163.66 [1546]~E(x15461,x15462)+E(f346(x15463,x15464,x15461,x15465,x15466),f346(x15463,x15464,x15462,x15465,x15466))
% 163.96/163.66 [1547]~E(x15471,x15472)+E(f346(x15473,x15474,x15475,x15471,x15476),f346(x15473,x15474,x15475,x15472,x15476))
% 163.96/163.66 [1548]~E(x15481,x15482)+E(f346(x15483,x15484,x15485,x15486,x15481),f346(x15483,x15484,x15485,x15486,x15482))
% 163.96/163.66 [1549]~E(x15491,x15492)+E(f210(x15491,x15493,x15494,x15495),f210(x15492,x15493,x15494,x15495))
% 163.96/163.66 [1550]~E(x15501,x15502)+E(f210(x15503,x15501,x15504,x15505),f210(x15503,x15502,x15504,x15505))
% 163.96/163.66 [1551]~E(x15511,x15512)+E(f210(x15513,x15514,x15511,x15515),f210(x15513,x15514,x15512,x15515))
% 163.96/163.66 [1552]~E(x15521,x15522)+E(f210(x15523,x15524,x15525,x15521),f210(x15523,x15524,x15525,x15522))
% 163.96/163.66 [1553]~E(x15531,x15532)+E(f869(x15531,x15533,x15534,x15535),f869(x15532,x15533,x15534,x15535))
% 163.96/163.66 [1554]~E(x15541,x15542)+E(f869(x15543,x15541,x15544,x15545),f869(x15543,x15542,x15544,x15545))
% 163.96/163.66 [1555]~E(x15551,x15552)+E(f869(x15553,x15554,x15551,x15555),f869(x15553,x15554,x15552,x15555))
% 163.96/163.66 [1556]~E(x15561,x15562)+E(f869(x15563,x15564,x15565,x15561),f869(x15563,x15564,x15565,x15562))
% 163.96/163.66 [1557]~E(x15571,x15572)+E(f185(x15571,x15573,x15574,x15575),f185(x15572,x15573,x15574,x15575))
% 163.96/163.66 [1558]~E(x15581,x15582)+E(f185(x15583,x15581,x15584,x15585),f185(x15583,x15582,x15584,x15585))
% 163.96/163.66 [1559]~E(x15591,x15592)+E(f185(x15593,x15594,x15591,x15595),f185(x15593,x15594,x15592,x15595))
% 163.96/163.66 [1560]~E(x15601,x15602)+E(f185(x15603,x15604,x15605,x15601),f185(x15603,x15604,x15605,x15602))
% 163.96/163.66 [1561]~E(x15611,x15612)+E(f389(x15611,x15613,x15614,x15615,x15616),f389(x15612,x15613,x15614,x15615,x15616))
% 163.96/163.66 [1562]~E(x15621,x15622)+E(f389(x15623,x15621,x15624,x15625,x15626),f389(x15623,x15622,x15624,x15625,x15626))
% 163.96/163.66 [1563]~E(x15631,x15632)+E(f389(x15633,x15634,x15631,x15635,x15636),f389(x15633,x15634,x15632,x15635,x15636))
% 163.96/163.66 [1564]~E(x15641,x15642)+E(f389(x15643,x15644,x15645,x15641,x15646),f389(x15643,x15644,x15645,x15642,x15646))
% 163.96/163.66 [1565]~E(x15651,x15652)+E(f389(x15653,x15654,x15655,x15656,x15651),f389(x15653,x15654,x15655,x15656,x15652))
% 163.96/163.66 [1566]~E(x15661,x15662)+E(f475(x15661,x15663,x15664,x15665,x15666),f475(x15662,x15663,x15664,x15665,x15666))
% 163.96/163.66 [1567]~E(x15671,x15672)+E(f475(x15673,x15671,x15674,x15675,x15676),f475(x15673,x15672,x15674,x15675,x15676))
% 163.96/163.66 [1568]~E(x15681,x15682)+E(f475(x15683,x15684,x15681,x15685,x15686),f475(x15683,x15684,x15682,x15685,x15686))
% 163.96/163.66 [1569]~E(x15691,x15692)+E(f475(x15693,x15694,x15695,x15691,x15696),f475(x15693,x15694,x15695,x15692,x15696))
% 163.96/163.66 [1570]~E(x15701,x15702)+E(f475(x15703,x15704,x15705,x15706,x15701),f475(x15703,x15704,x15705,x15706,x15702))
% 163.96/163.66 [1571]~E(x15711,x15712)+E(f867(x15711,x15713,x15714,x15715),f867(x15712,x15713,x15714,x15715))
% 163.96/163.66 [1572]~E(x15721,x15722)+E(f867(x15723,x15721,x15724,x15725),f867(x15723,x15722,x15724,x15725))
% 163.96/163.66 [1573]~E(x15731,x15732)+E(f867(x15733,x15734,x15731,x15735),f867(x15733,x15734,x15732,x15735))
% 163.96/163.66 [1574]~E(x15741,x15742)+E(f867(x15743,x15744,x15745,x15741),f867(x15743,x15744,x15745,x15742))
% 163.96/163.66 [1575]~E(x15751,x15752)+E(f702(x15751,x15753),f702(x15752,x15753))
% 163.96/163.66 [1576]~E(x15761,x15762)+E(f702(x15763,x15761),f702(x15763,x15762))
% 163.96/163.66 [1577]~E(x15771,x15772)+E(f472(x15771,x15773),f472(x15772,x15773))
% 163.96/163.66 [1578]~E(x15781,x15782)+E(f472(x15783,x15781),f472(x15783,x15782))
% 163.96/163.66 [1579]~E(x15791,x15792)+E(f825(x15791,x15793,x15794,x15795),f825(x15792,x15793,x15794,x15795))
% 163.96/163.66 [1580]~E(x15801,x15802)+E(f825(x15803,x15801,x15804,x15805),f825(x15803,x15802,x15804,x15805))
% 163.96/163.66 [1581]~E(x15811,x15812)+E(f825(x15813,x15814,x15811,x15815),f825(x15813,x15814,x15812,x15815))
% 163.96/163.66 [1582]~E(x15821,x15822)+E(f825(x15823,x15824,x15825,x15821),f825(x15823,x15824,x15825,x15822))
% 163.96/163.66 [1583]~E(x15831,x15832)+E(f354(x15831,x15833,x15834,x15835),f354(x15832,x15833,x15834,x15835))
% 163.96/163.66 [1584]~E(x15841,x15842)+E(f354(x15843,x15841,x15844,x15845),f354(x15843,x15842,x15844,x15845))
% 163.96/163.66 [1585]~E(x15851,x15852)+E(f354(x15853,x15854,x15851,x15855),f354(x15853,x15854,x15852,x15855))
% 163.96/163.66 [1586]~E(x15861,x15862)+E(f354(x15863,x15864,x15865,x15861),f354(x15863,x15864,x15865,x15862))
% 163.96/163.66 [1587]~E(x15871,x15872)+E(f509(x15871,x15873,x15874,x15875),f509(x15872,x15873,x15874,x15875))
% 163.96/163.66 [1588]~E(x15881,x15882)+E(f509(x15883,x15881,x15884,x15885),f509(x15883,x15882,x15884,x15885))
% 163.96/163.66 [1589]~E(x15891,x15892)+E(f509(x15893,x15894,x15891,x15895),f509(x15893,x15894,x15892,x15895))
% 163.96/163.66 [1590]~E(x15901,x15902)+E(f509(x15903,x15904,x15905,x15901),f509(x15903,x15904,x15905,x15902))
% 163.96/163.66 [1591]~E(x15911,x15912)+E(f395(x15911,x15913,x15914),f395(x15912,x15913,x15914))
% 163.96/163.66 [1592]~E(x15921,x15922)+E(f395(x15923,x15921,x15924),f395(x15923,x15922,x15924))
% 163.96/163.66 [1593]~E(x15931,x15932)+E(f395(x15933,x15934,x15931),f395(x15933,x15934,x15932))
% 163.96/163.66 [1594]~E(x15941,x15942)+E(f401(x15941,x15943,x15944),f401(x15942,x15943,x15944))
% 163.96/163.66 [1595]~E(x15951,x15952)+E(f401(x15953,x15951,x15954),f401(x15953,x15952,x15954))
% 163.96/163.66 [1596]~E(x15961,x15962)+E(f401(x15963,x15964,x15961),f401(x15963,x15964,x15962))
% 163.96/163.66 [1597]~E(x15971,x15972)+E(f237(x15971,x15973),f237(x15972,x15973))
% 163.96/163.66 [1598]~E(x15981,x15982)+E(f237(x15983,x15981),f237(x15983,x15982))
% 163.96/163.66 [1599]~E(x15991,x15992)+E(f218(x15991,x15993,x15994),f218(x15992,x15993,x15994))
% 163.96/163.66 [1600]~E(x16001,x16002)+E(f218(x16003,x16001,x16004),f218(x16003,x16002,x16004))
% 163.96/163.66 [1601]~E(x16011,x16012)+E(f218(x16013,x16014,x16011),f218(x16013,x16014,x16012))
% 163.96/163.66 [1602]~E(x16021,x16022)+E(f481(x16021,x16023,x16024),f481(x16022,x16023,x16024))
% 163.96/163.66 [1603]~E(x16031,x16032)+E(f481(x16033,x16031,x16034),f481(x16033,x16032,x16034))
% 163.96/163.66 [1604]~E(x16041,x16042)+E(f481(x16043,x16044,x16041),f481(x16043,x16044,x16042))
% 163.96/163.66 [1605]~E(x16051,x16052)+E(f517(x16051,x16053,x16054,x16055),f517(x16052,x16053,x16054,x16055))
% 163.96/163.66 [1606]~E(x16061,x16062)+E(f517(x16063,x16061,x16064,x16065),f517(x16063,x16062,x16064,x16065))
% 163.96/163.66 [1607]~E(x16071,x16072)+E(f517(x16073,x16074,x16071,x16075),f517(x16073,x16074,x16072,x16075))
% 163.96/163.66 [1608]~E(x16081,x16082)+E(f517(x16083,x16084,x16085,x16081),f517(x16083,x16084,x16085,x16082))
% 163.96/163.66 [1609]~E(x16091,x16092)+E(f443(x16091,x16093),f443(x16092,x16093))
% 163.96/163.66 [1610]~E(x16101,x16102)+E(f443(x16103,x16101),f443(x16103,x16102))
% 163.96/163.66 [1611]~E(x16111,x16112)+E(f322(x16111,x16113),f322(x16112,x16113))
% 163.96/163.66 [1612]~E(x16121,x16122)+E(f322(x16123,x16121),f322(x16123,x16122))
% 163.96/163.66 [1613]~E(x16131,x16132)+E(f368(x16131,x16133),f368(x16132,x16133))
% 163.96/163.66 [1614]~E(x16141,x16142)+E(f368(x16143,x16141),f368(x16143,x16142))
% 163.96/163.66 [1615]~E(x16151,x16152)+E(f788(x16151,x16153,x16154,x16155),f788(x16152,x16153,x16154,x16155))
% 163.96/163.66 [1616]~E(x16161,x16162)+E(f788(x16163,x16161,x16164,x16165),f788(x16163,x16162,x16164,x16165))
% 163.96/163.66 [1617]~E(x16171,x16172)+E(f788(x16173,x16174,x16171,x16175),f788(x16173,x16174,x16172,x16175))
% 163.96/163.66 [1618]~E(x16181,x16182)+E(f788(x16183,x16184,x16185,x16181),f788(x16183,x16184,x16185,x16182))
% 163.96/163.66 [1619]~E(x16191,x16192)+E(f793(x16191),f793(x16192))
% 163.96/163.66 [1620]~E(x16201,x16202)+E(f890(x16201,x16203,x16204),f890(x16202,x16203,x16204))
% 163.96/163.66 [1621]~E(x16211,x16212)+E(f890(x16213,x16211,x16214),f890(x16213,x16212,x16214))
% 163.96/163.66 [1622]~E(x16221,x16222)+E(f890(x16223,x16224,x16221),f890(x16223,x16224,x16222))
% 163.96/163.66 [1623]~E(x16231,x16232)+E(f513(x16231,x16233),f513(x16232,x16233))
% 163.96/163.66 [1624]~E(x16241,x16242)+E(f513(x16243,x16241),f513(x16243,x16242))
% 163.96/163.66 [1625]~E(x16251,x16252)+E(f334(x16251,x16253,x16254),f334(x16252,x16253,x16254))
% 163.96/163.66 [1626]~E(x16261,x16262)+E(f334(x16263,x16261,x16264),f334(x16263,x16262,x16264))
% 163.96/163.66 [1627]~E(x16271,x16272)+E(f334(x16273,x16274,x16271),f334(x16273,x16274,x16272))
% 163.96/163.66 [1628]~E(x16281,x16282)+E(f821(x16281,x16283,x16284,x16285,x16286,x16287),f821(x16282,x16283,x16284,x16285,x16286,x16287))
% 163.96/163.66 [1629]~E(x16291,x16292)+E(f821(x16293,x16291,x16294,x16295,x16296,x16297),f821(x16293,x16292,x16294,x16295,x16296,x16297))
% 163.96/163.66 [1630]~E(x16301,x16302)+E(f821(x16303,x16304,x16301,x16305,x16306,x16307),f821(x16303,x16304,x16302,x16305,x16306,x16307))
% 163.96/163.66 [1631]~E(x16311,x16312)+E(f821(x16313,x16314,x16315,x16311,x16316,x16317),f821(x16313,x16314,x16315,x16312,x16316,x16317))
% 163.96/163.66 [1632]~E(x16321,x16322)+E(f821(x16323,x16324,x16325,x16326,x16321,x16327),f821(x16323,x16324,x16325,x16326,x16322,x16327))
% 163.96/163.66 [1633]~E(x16331,x16332)+E(f821(x16333,x16334,x16335,x16336,x16337,x16331),f821(x16333,x16334,x16335,x16336,x16337,x16332))
% 163.96/163.66 [1634]~E(x16341,x16342)+E(f692(x16341,x16343,x16344,x16345,x16346),f692(x16342,x16343,x16344,x16345,x16346))
% 163.96/163.66 [1635]~E(x16351,x16352)+E(f692(x16353,x16351,x16354,x16355,x16356),f692(x16353,x16352,x16354,x16355,x16356))
% 163.96/163.66 [1636]~E(x16361,x16362)+E(f692(x16363,x16364,x16361,x16365,x16366),f692(x16363,x16364,x16362,x16365,x16366))
% 163.96/163.66 [1637]~E(x16371,x16372)+E(f692(x16373,x16374,x16375,x16371,x16376),f692(x16373,x16374,x16375,x16372,x16376))
% 163.96/163.66 [1638]~E(x16381,x16382)+E(f692(x16383,x16384,x16385,x16386,x16381),f692(x16383,x16384,x16385,x16386,x16382))
% 163.96/163.66 [1639]~E(x16391,x16392)+E(f831(x16391,x16393,x16394,x16395,x16396,x16397,x16398,x16399),f831(x16392,x16393,x16394,x16395,x16396,x16397,x16398,x16399))
% 163.96/163.66 [1640]~E(x16401,x16402)+E(f831(x16403,x16401,x16404,x16405,x16406,x16407,x16408,x16409),f831(x16403,x16402,x16404,x16405,x16406,x16407,x16408,x16409))
% 163.96/163.66 [1641]~E(x16411,x16412)+E(f831(x16413,x16414,x16411,x16415,x16416,x16417,x16418,x16419),f831(x16413,x16414,x16412,x16415,x16416,x16417,x16418,x16419))
% 163.96/163.66 [1642]~E(x16421,x16422)+E(f831(x16423,x16424,x16425,x16421,x16426,x16427,x16428,x16429),f831(x16423,x16424,x16425,x16422,x16426,x16427,x16428,x16429))
% 163.96/163.66 [1643]~E(x16431,x16432)+E(f831(x16433,x16434,x16435,x16436,x16431,x16437,x16438,x16439),f831(x16433,x16434,x16435,x16436,x16432,x16437,x16438,x16439))
% 163.96/163.66 [1644]~E(x16441,x16442)+E(f831(x16443,x16444,x16445,x16446,x16447,x16441,x16448,x16449),f831(x16443,x16444,x16445,x16446,x16447,x16442,x16448,x16449))
% 163.96/163.66 [1645]~E(x16451,x16452)+E(f831(x16453,x16454,x16455,x16456,x16457,x16458,x16451,x16459),f831(x16453,x16454,x16455,x16456,x16457,x16458,x16452,x16459))
% 163.96/163.66 [1646]~E(x16461,x16462)+E(f831(x16463,x16464,x16465,x16466,x16467,x16468,x16469,x16461),f831(x16463,x16464,x16465,x16466,x16467,x16468,x16469,x16462))
% 163.96/163.66 [1647]~E(x16471,x16472)+E(f512(x16471,x16473,x16474,x16475),f512(x16472,x16473,x16474,x16475))
% 163.96/163.66 [1648]~E(x16481,x16482)+E(f512(x16483,x16481,x16484,x16485),f512(x16483,x16482,x16484,x16485))
% 163.96/163.66 [1649]~E(x16491,x16492)+E(f512(x16493,x16494,x16491,x16495),f512(x16493,x16494,x16492,x16495))
% 163.96/163.66 [1650]~E(x16501,x16502)+E(f512(x16503,x16504,x16505,x16501),f512(x16503,x16504,x16505,x16502))
% 163.96/163.66 [1651]~E(x16511,x16512)+E(f666(x16511,x16513,x16514),f666(x16512,x16513,x16514))
% 163.96/163.66 [1652]~E(x16521,x16522)+E(f666(x16523,x16521,x16524),f666(x16523,x16522,x16524))
% 163.96/163.66 [1653]~E(x16531,x16532)+E(f666(x16533,x16534,x16531),f666(x16533,x16534,x16532))
% 163.96/163.66 [1654]~E(x16541,x16542)+E(f811(x16541),f811(x16542))
% 163.96/163.66 [1655]~E(x16551,x16552)+E(f873(x16551,x16553,x16554,x16555),f873(x16552,x16553,x16554,x16555))
% 163.96/163.66 [1656]~E(x16561,x16562)+E(f873(x16563,x16561,x16564,x16565),f873(x16563,x16562,x16564,x16565))
% 163.96/163.66 [1657]~E(x16571,x16572)+E(f873(x16573,x16574,x16571,x16575),f873(x16573,x16574,x16572,x16575))
% 163.96/163.66 [1658]~E(x16581,x16582)+E(f873(x16583,x16584,x16585,x16581),f873(x16583,x16584,x16585,x16582))
% 163.96/163.66 [1659]~E(x16591,x16592)+E(f711(x16591,x16593,x16594,x16595),f711(x16592,x16593,x16594,x16595))
% 163.96/163.66 [1660]~E(x16601,x16602)+E(f711(x16603,x16601,x16604,x16605),f711(x16603,x16602,x16604,x16605))
% 163.96/163.66 [1661]~E(x16611,x16612)+E(f711(x16613,x16614,x16611,x16615),f711(x16613,x16614,x16612,x16615))
% 163.96/163.66 [1662]~E(x16621,x16622)+E(f711(x16623,x16624,x16625,x16621),f711(x16623,x16624,x16625,x16622))
% 163.96/163.66 [1663]~E(x16631,x16632)+E(f534(x16631,x16633,x16634),f534(x16632,x16633,x16634))
% 163.96/163.66 [1664]~E(x16641,x16642)+E(f534(x16643,x16641,x16644),f534(x16643,x16642,x16644))
% 163.96/163.66 [1665]~E(x16651,x16652)+E(f534(x16653,x16654,x16651),f534(x16653,x16654,x16652))
% 163.96/163.66 [1666]~E(x16661,x16662)+E(f712(x16661,x16663,x16664,x16665,x16666),f712(x16662,x16663,x16664,x16665,x16666))
% 163.96/163.66 [1667]~E(x16671,x16672)+E(f712(x16673,x16671,x16674,x16675,x16676),f712(x16673,x16672,x16674,x16675,x16676))
% 163.96/163.66 [1668]~E(x16681,x16682)+E(f712(x16683,x16684,x16681,x16685,x16686),f712(x16683,x16684,x16682,x16685,x16686))
% 163.96/163.66 [1669]~E(x16691,x16692)+E(f712(x16693,x16694,x16695,x16691,x16696),f712(x16693,x16694,x16695,x16692,x16696))
% 163.96/163.66 [1670]~E(x16701,x16702)+E(f712(x16703,x16704,x16705,x16706,x16701),f712(x16703,x16704,x16705,x16706,x16702))
% 163.96/163.66 [1671]~E(x16711,x16712)+E(f660(x16711,x16713,x16714,x16715),f660(x16712,x16713,x16714,x16715))
% 163.96/163.66 [1672]~E(x16721,x16722)+E(f660(x16723,x16721,x16724,x16725),f660(x16723,x16722,x16724,x16725))
% 163.96/163.66 [1673]~E(x16731,x16732)+E(f660(x16733,x16734,x16731,x16735),f660(x16733,x16734,x16732,x16735))
% 163.96/163.66 [1674]~E(x16741,x16742)+E(f660(x16743,x16744,x16745,x16741),f660(x16743,x16744,x16745,x16742))
% 163.96/163.66 [1675]~E(x16751,x16752)+E(f543(x16751,x16753,x16754,x16755,x16756,x16757),f543(x16752,x16753,x16754,x16755,x16756,x16757))
% 163.96/163.66 [1676]~E(x16761,x16762)+E(f543(x16763,x16761,x16764,x16765,x16766,x16767),f543(x16763,x16762,x16764,x16765,x16766,x16767))
% 163.96/163.66 [1677]~E(x16771,x16772)+E(f543(x16773,x16774,x16771,x16775,x16776,x16777),f543(x16773,x16774,x16772,x16775,x16776,x16777))
% 163.96/163.66 [1678]~E(x16781,x16782)+E(f543(x16783,x16784,x16785,x16781,x16786,x16787),f543(x16783,x16784,x16785,x16782,x16786,x16787))
% 163.96/163.66 [1679]~E(x16791,x16792)+E(f543(x16793,x16794,x16795,x16796,x16791,x16797),f543(x16793,x16794,x16795,x16796,x16792,x16797))
% 163.96/163.66 [1680]~E(x16801,x16802)+E(f543(x16803,x16804,x16805,x16806,x16807,x16801),f543(x16803,x16804,x16805,x16806,x16807,x16802))
% 163.96/163.66 [1681]~E(x16811,x16812)+E(f830(x16811,x16813,x16814,x16815,x16816,x16817,x16818,x16819),f830(x16812,x16813,x16814,x16815,x16816,x16817,x16818,x16819))
% 163.96/163.66 [1682]~E(x16821,x16822)+E(f830(x16823,x16821,x16824,x16825,x16826,x16827,x16828,x16829),f830(x16823,x16822,x16824,x16825,x16826,x16827,x16828,x16829))
% 163.96/163.66 [1683]~E(x16831,x16832)+E(f830(x16833,x16834,x16831,x16835,x16836,x16837,x16838,x16839),f830(x16833,x16834,x16832,x16835,x16836,x16837,x16838,x16839))
% 163.96/163.66 [1684]~E(x16841,x16842)+E(f830(x16843,x16844,x16845,x16841,x16846,x16847,x16848,x16849),f830(x16843,x16844,x16845,x16842,x16846,x16847,x16848,x16849))
% 163.96/163.66 [1685]~E(x16851,x16852)+E(f830(x16853,x16854,x16855,x16856,x16851,x16857,x16858,x16859),f830(x16853,x16854,x16855,x16856,x16852,x16857,x16858,x16859))
% 163.96/163.66 [1686]~E(x16861,x16862)+E(f830(x16863,x16864,x16865,x16866,x16867,x16861,x16868,x16869),f830(x16863,x16864,x16865,x16866,x16867,x16862,x16868,x16869))
% 163.96/163.66 [1687]~E(x16871,x16872)+E(f830(x16873,x16874,x16875,x16876,x16877,x16878,x16871,x16879),f830(x16873,x16874,x16875,x16876,x16877,x16878,x16872,x16879))
% 163.96/163.66 [1688]~E(x16881,x16882)+E(f830(x16883,x16884,x16885,x16886,x16887,x16888,x16889,x16881),f830(x16883,x16884,x16885,x16886,x16887,x16888,x16889,x16882))
% 163.96/163.66 [1689]~E(x16891,x16892)+E(f767(x16891,x16893,x16894),f767(x16892,x16893,x16894))
% 163.96/163.66 [1690]~E(x16901,x16902)+E(f767(x16903,x16901,x16904),f767(x16903,x16902,x16904))
% 163.96/163.66 [1691]~E(x16911,x16912)+E(f767(x16913,x16914,x16911),f767(x16913,x16914,x16912))
% 163.96/163.66 [1692]~E(x16921,x16922)+E(f650(x16921,x16923,x16924),f650(x16922,x16923,x16924))
% 163.96/163.66 [1693]~E(x16931,x16932)+E(f650(x16933,x16931,x16934),f650(x16933,x16932,x16934))
% 163.96/163.66 [1694]~E(x16941,x16942)+E(f650(x16943,x16944,x16941),f650(x16943,x16944,x16942))
% 163.96/163.66 [1695]~E(x16951,x16952)+E(f476(x16951,x16953,x16954,x16955,x16956),f476(x16952,x16953,x16954,x16955,x16956))
% 163.96/163.66 [1696]~E(x16961,x16962)+E(f476(x16963,x16961,x16964,x16965,x16966),f476(x16963,x16962,x16964,x16965,x16966))
% 163.96/163.66 [1697]~E(x16971,x16972)+E(f476(x16973,x16974,x16971,x16975,x16976),f476(x16973,x16974,x16972,x16975,x16976))
% 163.96/163.66 [1698]~E(x16981,x16982)+E(f476(x16983,x16984,x16985,x16981,x16986),f476(x16983,x16984,x16985,x16982,x16986))
% 163.96/163.66 [1699]~E(x16991,x16992)+E(f476(x16993,x16994,x16995,x16996,x16991),f476(x16993,x16994,x16995,x16996,x16992))
% 163.96/163.66 [1700]~E(x17001,x17002)+E(f190(x17001),f190(x17002))
% 163.96/163.66 [1701]~E(x17011,x17012)+E(f771(x17011,x17013,x17014,x17015),f771(x17012,x17013,x17014,x17015))
% 163.96/163.66 [1702]~E(x17021,x17022)+E(f771(x17023,x17021,x17024,x17025),f771(x17023,x17022,x17024,x17025))
% 163.96/163.66 [1703]~E(x17031,x17032)+E(f771(x17033,x17034,x17031,x17035),f771(x17033,x17034,x17032,x17035))
% 163.96/163.66 [1704]~E(x17041,x17042)+E(f771(x17043,x17044,x17045,x17041),f771(x17043,x17044,x17045,x17042))
% 163.96/163.66 [1705]~E(x17051,x17052)+E(f573(x17051,x17053,x17054),f573(x17052,x17053,x17054))
% 163.96/163.66 [1706]~E(x17061,x17062)+E(f573(x17063,x17061,x17064),f573(x17063,x17062,x17064))
% 163.96/163.66 [1707]~E(x17071,x17072)+E(f573(x17073,x17074,x17071),f573(x17073,x17074,x17072))
% 163.96/163.66 [1708]~E(x17081,x17082)+E(f344(x17081,x17083,x17084,x17085),f344(x17082,x17083,x17084,x17085))
% 163.96/163.66 [1709]~E(x17091,x17092)+E(f344(x17093,x17091,x17094,x17095),f344(x17093,x17092,x17094,x17095))
% 163.96/163.66 [1710]~E(x17101,x17102)+E(f344(x17103,x17104,x17101,x17105),f344(x17103,x17104,x17102,x17105))
% 163.96/163.66 [1711]~E(x17111,x17112)+E(f344(x17113,x17114,x17115,x17111),f344(x17113,x17114,x17115,x17112))
% 163.96/163.66 [1712]~E(x17121,x17122)+E(f199(x17121,x17123,x17124,x17125),f199(x17122,x17123,x17124,x17125))
% 163.96/163.66 [1713]~E(x17131,x17132)+E(f199(x17133,x17131,x17134,x17135),f199(x17133,x17132,x17134,x17135))
% 163.96/163.66 [1714]~E(x17141,x17142)+E(f199(x17143,x17144,x17141,x17145),f199(x17143,x17144,x17142,x17145))
% 163.96/163.66 [1715]~E(x17151,x17152)+E(f199(x17153,x17154,x17155,x17151),f199(x17153,x17154,x17155,x17152))
% 163.96/163.66 [1716]~E(x17161,x17162)+E(f588(x17161,x17163),f588(x17162,x17163))
% 163.96/163.66 [1717]~E(x17171,x17172)+E(f588(x17173,x17171),f588(x17173,x17172))
% 163.96/163.66 [1718]~E(x17181,x17182)+E(f761(x17181,x17183,x17184),f761(x17182,x17183,x17184))
% 163.96/163.66 [1719]~E(x17191,x17192)+E(f761(x17193,x17191,x17194),f761(x17193,x17192,x17194))
% 163.96/163.66 [1720]~E(x17201,x17202)+E(f761(x17203,x17204,x17201),f761(x17203,x17204,x17202))
% 163.96/163.66 [1721]~E(x17211,x17212)+E(f284(x17211,x17213,x17214),f284(x17212,x17213,x17214))
% 163.96/163.66 [1722]~E(x17221,x17222)+E(f284(x17223,x17221,x17224),f284(x17223,x17222,x17224))
% 163.96/163.66 [1723]~E(x17231,x17232)+E(f284(x17233,x17234,x17231),f284(x17233,x17234,x17232))
% 163.96/163.66 [1724]~E(x17241,x17242)+E(f668(x17241,x17243,x17244),f668(x17242,x17243,x17244))
% 163.96/163.66 [1725]~E(x17251,x17252)+E(f668(x17253,x17251,x17254),f668(x17253,x17252,x17254))
% 163.96/163.66 [1726]~E(x17261,x17262)+E(f668(x17263,x17264,x17261),f668(x17263,x17264,x17262))
% 163.96/163.66 [1727]~E(x17271,x17272)+E(f667(x17271,x17273),f667(x17272,x17273))
% 163.96/163.66 [1728]~E(x17281,x17282)+E(f667(x17283,x17281),f667(x17283,x17282))
% 163.96/163.66 [1729]~E(x17291,x17292)+E(f849(x17291,x17293,x17294,x17295,x17296),f849(x17292,x17293,x17294,x17295,x17296))
% 163.96/163.66 [1730]~E(x17301,x17302)+E(f849(x17303,x17301,x17304,x17305,x17306),f849(x17303,x17302,x17304,x17305,x17306))
% 163.96/163.66 [1731]~E(x17311,x17312)+E(f849(x17313,x17314,x17311,x17315,x17316),f849(x17313,x17314,x17312,x17315,x17316))
% 163.96/163.66 [1732]~E(x17321,x17322)+E(f849(x17323,x17324,x17325,x17321,x17326),f849(x17323,x17324,x17325,x17322,x17326))
% 163.96/163.66 [1733]~E(x17331,x17332)+E(f849(x17333,x17334,x17335,x17336,x17331),f849(x17333,x17334,x17335,x17336,x17332))
% 163.96/163.66 [1734]~E(x17341,x17342)+E(f329(x17341,x17343,x17344,x17345,x17346,x17347),f329(x17342,x17343,x17344,x17345,x17346,x17347))
% 163.96/163.66 [1735]~E(x17351,x17352)+E(f329(x17353,x17351,x17354,x17355,x17356,x17357),f329(x17353,x17352,x17354,x17355,x17356,x17357))
% 163.96/163.66 [1736]~E(x17361,x17362)+E(f329(x17363,x17364,x17361,x17365,x17366,x17367),f329(x17363,x17364,x17362,x17365,x17366,x17367))
% 163.96/163.66 [1737]~E(x17371,x17372)+E(f329(x17373,x17374,x17375,x17371,x17376,x17377),f329(x17373,x17374,x17375,x17372,x17376,x17377))
% 163.96/163.66 [1738]~E(x17381,x17382)+E(f329(x17383,x17384,x17385,x17386,x17381,x17387),f329(x17383,x17384,x17385,x17386,x17382,x17387))
% 163.96/163.66 [1739]~E(x17391,x17392)+E(f329(x17393,x17394,x17395,x17396,x17397,x17391),f329(x17393,x17394,x17395,x17396,x17397,x17392))
% 163.96/163.66 [1740]~E(x17401,x17402)+E(f689(x17401,x17403,x17404,x17405),f689(x17402,x17403,x17404,x17405))
% 163.96/163.66 [1741]~E(x17411,x17412)+E(f689(x17413,x17411,x17414,x17415),f689(x17413,x17412,x17414,x17415))
% 163.96/163.66 [1742]~E(x17421,x17422)+E(f689(x17423,x17424,x17421,x17425),f689(x17423,x17424,x17422,x17425))
% 163.96/163.66 [1743]~E(x17431,x17432)+E(f689(x17433,x17434,x17435,x17431),f689(x17433,x17434,x17435,x17432))
% 163.96/163.66 [1744]~E(x17441,x17442)+E(f502(x17441,x17443,x17444,x17445),f502(x17442,x17443,x17444,x17445))
% 163.96/163.66 [1745]~E(x17451,x17452)+E(f502(x17453,x17451,x17454,x17455),f502(x17453,x17452,x17454,x17455))
% 163.96/163.66 [1746]~E(x17461,x17462)+E(f502(x17463,x17464,x17461,x17465),f502(x17463,x17464,x17462,x17465))
% 163.96/163.66 [1747]~E(x17471,x17472)+E(f502(x17473,x17474,x17475,x17471),f502(x17473,x17474,x17475,x17472))
% 163.96/163.66 [1748]~E(x17481,x17482)+E(f436(x17481,x17483,x17484),f436(x17482,x17483,x17484))
% 163.96/163.66 [1749]~E(x17491,x17492)+E(f436(x17493,x17491,x17494),f436(x17493,x17492,x17494))
% 163.96/163.66 [1750]~E(x17501,x17502)+E(f436(x17503,x17504,x17501),f436(x17503,x17504,x17502))
% 163.96/163.66 [1751]~E(x17511,x17512)+E(f428(x17511,x17513),f428(x17512,x17513))
% 163.96/163.66 [1752]~E(x17521,x17522)+E(f428(x17523,x17521),f428(x17523,x17522))
% 163.96/163.66 [1753]~E(x17531,x17532)+E(f493(x17531,x17533,x17534),f493(x17532,x17533,x17534))
% 163.96/163.66 [1754]~E(x17541,x17542)+E(f493(x17543,x17541,x17544),f493(x17543,x17542,x17544))
% 163.96/163.66 [1755]~E(x17551,x17552)+E(f493(x17553,x17554,x17551),f493(x17553,x17554,x17552))
% 163.96/163.66 [1756]~E(x17561,x17562)+E(f659(x17561,x17563),f659(x17562,x17563))
% 163.96/163.66 [1757]~E(x17571,x17572)+E(f659(x17573,x17571),f659(x17573,x17572))
% 163.96/163.66 [1758]~E(x17581,x17582)+E(f234(x17581,x17583,x17584),f234(x17582,x17583,x17584))
% 163.96/163.66 [1759]~E(x17591,x17592)+E(f234(x17593,x17591,x17594),f234(x17593,x17592,x17594))
% 163.96/163.66 [1760]~E(x17601,x17602)+E(f234(x17603,x17604,x17601),f234(x17603,x17604,x17602))
% 163.96/163.66 [1761]~E(x17611,x17612)+E(f781(x17611,x17613),f781(x17612,x17613))
% 163.96/163.66 [1762]~E(x17621,x17622)+E(f781(x17623,x17621),f781(x17623,x17622))
% 163.96/163.66 [1763]~E(x17631,x17632)+E(f524(x17631,x17633,x17634,x17635,x17636,x17637),f524(x17632,x17633,x17634,x17635,x17636,x17637))
% 163.96/163.66 [1764]~E(x17641,x17642)+E(f524(x17643,x17641,x17644,x17645,x17646,x17647),f524(x17643,x17642,x17644,x17645,x17646,x17647))
% 163.96/163.66 [1765]~E(x17651,x17652)+E(f524(x17653,x17654,x17651,x17655,x17656,x17657),f524(x17653,x17654,x17652,x17655,x17656,x17657))
% 163.96/163.66 [1766]~E(x17661,x17662)+E(f524(x17663,x17664,x17665,x17661,x17666,x17667),f524(x17663,x17664,x17665,x17662,x17666,x17667))
% 163.96/163.66 [1767]~E(x17671,x17672)+E(f524(x17673,x17674,x17675,x17676,x17671,x17677),f524(x17673,x17674,x17675,x17676,x17672,x17677))
% 163.96/163.66 [1768]~E(x17681,x17682)+E(f524(x17683,x17684,x17685,x17686,x17687,x17681),f524(x17683,x17684,x17685,x17686,x17687,x17682))
% 163.96/163.66 [1769]~E(x17691,x17692)+E(f697(x17691,x17693,x17694,x17695),f697(x17692,x17693,x17694,x17695))
% 163.96/163.66 [1770]~E(x17701,x17702)+E(f697(x17703,x17701,x17704,x17705),f697(x17703,x17702,x17704,x17705))
% 163.96/163.66 [1771]~E(x17711,x17712)+E(f697(x17713,x17714,x17711,x17715),f697(x17713,x17714,x17712,x17715))
% 163.96/163.66 [1772]~E(x17721,x17722)+E(f697(x17723,x17724,x17725,x17721),f697(x17723,x17724,x17725,x17722))
% 163.96/163.66 [1773]~E(x17731,x17732)+E(f829(x17731,x17733,x17734,x17735,x17736,x17737,x17738,x17739),f829(x17732,x17733,x17734,x17735,x17736,x17737,x17738,x17739))
% 163.96/163.66 [1774]~E(x17741,x17742)+E(f829(x17743,x17741,x17744,x17745,x17746,x17747,x17748,x17749),f829(x17743,x17742,x17744,x17745,x17746,x17747,x17748,x17749))
% 163.96/163.66 [1775]~E(x17751,x17752)+E(f829(x17753,x17754,x17751,x17755,x17756,x17757,x17758,x17759),f829(x17753,x17754,x17752,x17755,x17756,x17757,x17758,x17759))
% 163.96/163.66 [1776]~E(x17761,x17762)+E(f829(x17763,x17764,x17765,x17761,x17766,x17767,x17768,x17769),f829(x17763,x17764,x17765,x17762,x17766,x17767,x17768,x17769))
% 163.96/163.66 [1777]~E(x17771,x17772)+E(f829(x17773,x17774,x17775,x17776,x17771,x17777,x17778,x17779),f829(x17773,x17774,x17775,x17776,x17772,x17777,x17778,x17779))
% 163.96/163.66 [1778]~E(x17781,x17782)+E(f829(x17783,x17784,x17785,x17786,x17787,x17781,x17788,x17789),f829(x17783,x17784,x17785,x17786,x17787,x17782,x17788,x17789))
% 163.96/163.66 [1779]~E(x17791,x17792)+E(f829(x17793,x17794,x17795,x17796,x17797,x17798,x17791,x17799),f829(x17793,x17794,x17795,x17796,x17797,x17798,x17792,x17799))
% 163.96/163.66 [1780]~E(x17801,x17802)+E(f829(x17803,x17804,x17805,x17806,x17807,x17808,x17809,x17801),f829(x17803,x17804,x17805,x17806,x17807,x17808,x17809,x17802))
% 163.96/163.66 [1781]~E(x17811,x17812)+E(f619(x17811,x17813,x17814,x17815,x17816),f619(x17812,x17813,x17814,x17815,x17816))
% 163.96/163.66 [1782]~E(x17821,x17822)+E(f619(x17823,x17821,x17824,x17825,x17826),f619(x17823,x17822,x17824,x17825,x17826))
% 163.96/163.66 [1783]~E(x17831,x17832)+E(f619(x17833,x17834,x17831,x17835,x17836),f619(x17833,x17834,x17832,x17835,x17836))
% 163.96/163.66 [1784]~E(x17841,x17842)+E(f619(x17843,x17844,x17845,x17841,x17846),f619(x17843,x17844,x17845,x17842,x17846))
% 163.96/163.66 [1785]~E(x17851,x17852)+E(f619(x17853,x17854,x17855,x17856,x17851),f619(x17853,x17854,x17855,x17856,x17852))
% 163.96/163.66 [1786]~E(x17861,x17862)+E(f672(x17861,x17863,x17864),f672(x17862,x17863,x17864))
% 163.96/163.66 [1787]~E(x17871,x17872)+E(f672(x17873,x17871,x17874),f672(x17873,x17872,x17874))
% 163.96/163.66 [1788]~E(x17881,x17882)+E(f672(x17883,x17884,x17881),f672(x17883,x17884,x17882))
% 163.96/163.66 [1789]~E(x17891,x17892)+E(f219(x17891,x17893,x17894,x17895),f219(x17892,x17893,x17894,x17895))
% 163.96/163.66 [1790]~E(x17901,x17902)+E(f219(x17903,x17901,x17904,x17905),f219(x17903,x17902,x17904,x17905))
% 163.96/163.66 [1791]~E(x17911,x17912)+E(f219(x17913,x17914,x17911,x17915),f219(x17913,x17914,x17912,x17915))
% 163.96/163.66 [1792]~E(x17921,x17922)+E(f219(x17923,x17924,x17925,x17921),f219(x17923,x17924,x17925,x17922))
% 163.96/163.66 [1793]~E(x17931,x17932)+E(f708(x17931,x17933),f708(x17932,x17933))
% 163.96/163.66 [1794]~E(x17941,x17942)+E(f708(x17943,x17941),f708(x17943,x17942))
% 163.96/163.66 [1795]~E(x17951,x17952)+E(f798(x17951),f798(x17952))
% 163.96/163.66 [1796]~E(x17961,x17962)+E(f853(x17961,x17963,x17964),f853(x17962,x17963,x17964))
% 163.96/163.66 [1797]~E(x17971,x17972)+E(f853(x17973,x17971,x17974),f853(x17973,x17972,x17974))
% 163.96/163.66 [1798]~E(x17981,x17982)+E(f853(x17983,x17984,x17981),f853(x17983,x17984,x17982))
% 163.96/163.66 [1799]~E(x17991,x17992)+E(f213(x17991,x17993,x17994,x17995,x17996),f213(x17992,x17993,x17994,x17995,x17996))
% 163.96/163.66 [1800]~E(x18001,x18002)+E(f213(x18003,x18001,x18004,x18005,x18006),f213(x18003,x18002,x18004,x18005,x18006))
% 163.96/163.66 [1801]~E(x18011,x18012)+E(f213(x18013,x18014,x18011,x18015,x18016),f213(x18013,x18014,x18012,x18015,x18016))
% 163.96/163.66 [1802]~E(x18021,x18022)+E(f213(x18023,x18024,x18025,x18021,x18026),f213(x18023,x18024,x18025,x18022,x18026))
% 163.96/163.66 [1803]~E(x18031,x18032)+E(f213(x18033,x18034,x18035,x18036,x18031),f213(x18033,x18034,x18035,x18036,x18032))
% 163.96/163.66 [1804]~E(x18041,x18042)+E(f256(x18041),f256(x18042))
% 163.96/163.66 [1805]~E(x18051,x18052)+E(f625(x18051,x18053,x18054,x18055,x18056,x18057,x18058,x18059),f625(x18052,x18053,x18054,x18055,x18056,x18057,x18058,x18059))
% 163.96/163.66 [1806]~E(x18061,x18062)+E(f625(x18063,x18061,x18064,x18065,x18066,x18067,x18068,x18069),f625(x18063,x18062,x18064,x18065,x18066,x18067,x18068,x18069))
% 163.96/163.66 [1807]~E(x18071,x18072)+E(f625(x18073,x18074,x18071,x18075,x18076,x18077,x18078,x18079),f625(x18073,x18074,x18072,x18075,x18076,x18077,x18078,x18079))
% 163.96/163.66 [1808]~E(x18081,x18082)+E(f625(x18083,x18084,x18085,x18081,x18086,x18087,x18088,x18089),f625(x18083,x18084,x18085,x18082,x18086,x18087,x18088,x18089))
% 163.96/163.66 [1809]~E(x18091,x18092)+E(f625(x18093,x18094,x18095,x18096,x18091,x18097,x18098,x18099),f625(x18093,x18094,x18095,x18096,x18092,x18097,x18098,x18099))
% 163.96/163.66 [1810]~E(x18101,x18102)+E(f625(x18103,x18104,x18105,x18106,x18107,x18101,x18108,x18109),f625(x18103,x18104,x18105,x18106,x18107,x18102,x18108,x18109))
% 163.96/163.66 [1811]~E(x18111,x18112)+E(f625(x18113,x18114,x18115,x18116,x18117,x18118,x18111,x18119),f625(x18113,x18114,x18115,x18116,x18117,x18118,x18112,x18119))
% 163.96/163.66 [1812]~E(x18121,x18122)+E(f625(x18123,x18124,x18125,x18126,x18127,x18128,x18129,x18121),f625(x18123,x18124,x18125,x18126,x18127,x18128,x18129,x18122))
% 163.96/163.66 [1813]~E(x18131,x18132)+E(f408(x18131,x18133),f408(x18132,x18133))
% 163.96/163.66 [1814]~E(x18141,x18142)+E(f408(x18143,x18141),f408(x18143,x18142))
% 163.96/163.66 [1815]~E(x18151,x18152)+E(f699(x18151,x18153),f699(x18152,x18153))
% 163.96/163.66 [1816]~E(x18161,x18162)+E(f699(x18163,x18161),f699(x18163,x18162))
% 163.96/163.66 [1817]~E(x18171,x18172)+E(f814(x18171,x18173),f814(x18172,x18173))
% 163.96/163.66 [1818]~E(x18181,x18182)+E(f814(x18183,x18181),f814(x18183,x18182))
% 163.96/163.66 [1819]~E(x18191,x18192)+E(f338(x18191,x18193,x18194),f338(x18192,x18193,x18194))
% 163.96/163.66 [1820]~E(x18201,x18202)+E(f338(x18203,x18201,x18204),f338(x18203,x18202,x18204))
% 163.96/163.66 [1821]~E(x18211,x18212)+E(f338(x18213,x18214,x18211),f338(x18213,x18214,x18212))
% 163.96/163.66 [1822]~E(x18221,x18222)+E(f678(x18221,x18223,x18224,x18225),f678(x18222,x18223,x18224,x18225))
% 163.96/163.66 [1823]~E(x18231,x18232)+E(f678(x18233,x18231,x18234,x18235),f678(x18233,x18232,x18234,x18235))
% 163.96/163.66 [1824]~E(x18241,x18242)+E(f678(x18243,x18244,x18241,x18245),f678(x18243,x18244,x18242,x18245))
% 163.96/163.66 [1825]~E(x18251,x18252)+E(f678(x18253,x18254,x18255,x18251),f678(x18253,x18254,x18255,x18252))
% 163.96/163.66 [1826]~E(x18261,x18262)+E(f492(x18261,x18263,x18264),f492(x18262,x18263,x18264))
% 163.96/163.66 [1827]~E(x18271,x18272)+E(f492(x18273,x18271,x18274),f492(x18273,x18272,x18274))
% 163.96/163.66 [1828]~E(x18281,x18282)+E(f492(x18283,x18284,x18281),f492(x18283,x18284,x18282))
% 163.96/163.66 [1829]~E(x18291,x18292)+E(f661(x18291,x18293,x18294,x18295),f661(x18292,x18293,x18294,x18295))
% 163.96/163.66 [1830]~E(x18301,x18302)+E(f661(x18303,x18301,x18304,x18305),f661(x18303,x18302,x18304,x18305))
% 163.96/163.66 [1831]~E(x18311,x18312)+E(f661(x18313,x18314,x18311,x18315),f661(x18313,x18314,x18312,x18315))
% 163.96/163.66 [1832]~E(x18321,x18322)+E(f661(x18323,x18324,x18325,x18321),f661(x18323,x18324,x18325,x18322))
% 163.96/163.66 [1833]~E(x18331,x18332)+E(f435(x18331,x18333,x18334),f435(x18332,x18333,x18334))
% 163.96/163.66 [1834]~E(x18341,x18342)+E(f435(x18343,x18341,x18344),f435(x18343,x18342,x18344))
% 163.96/163.66 [1835]~E(x18351,x18352)+E(f435(x18353,x18354,x18351),f435(x18353,x18354,x18352))
% 163.96/163.66 [1836]~E(x18361,x18362)+E(f669(x18361,x18363),f669(x18362,x18363))
% 163.96/163.66 [1837]~E(x18371,x18372)+E(f669(x18373,x18371),f669(x18373,x18372))
% 163.96/163.66 [1838]~E(x18381,x18382)+E(f444(x18381,x18383,x18384),f444(x18382,x18383,x18384))
% 163.96/163.66 [1839]~E(x18391,x18392)+E(f444(x18393,x18391,x18394),f444(x18393,x18392,x18394))
% 163.96/163.66 [1840]~E(x18401,x18402)+E(f444(x18403,x18404,x18401),f444(x18403,x18404,x18402))
% 163.96/163.66 [1841]~E(x18411,x18412)+E(f528(x18411,x18413,x18414,x18415),f528(x18412,x18413,x18414,x18415))
% 163.96/163.66 [1842]~E(x18421,x18422)+E(f528(x18423,x18421,x18424,x18425),f528(x18423,x18422,x18424,x18425))
% 163.96/163.66 [1843]~E(x18431,x18432)+E(f528(x18433,x18434,x18431,x18435),f528(x18433,x18434,x18432,x18435))
% 163.96/163.66 [1844]~E(x18441,x18442)+E(f528(x18443,x18444,x18445,x18441),f528(x18443,x18444,x18445,x18442))
% 163.96/163.66 [1845]~E(x18451,x18452)+E(f424(x18451,x18453),f424(x18452,x18453))
% 163.96/163.66 [1846]~E(x18461,x18462)+E(f424(x18463,x18461),f424(x18463,x18462))
% 163.96/163.66 [1847]~E(x18471,x18472)+E(f733(x18471,x18473,x18474,x18475,x18476),f733(x18472,x18473,x18474,x18475,x18476))
% 163.96/163.66 [1848]~E(x18481,x18482)+E(f733(x18483,x18481,x18484,x18485,x18486),f733(x18483,x18482,x18484,x18485,x18486))
% 163.96/163.66 [1849]~E(x18491,x18492)+E(f733(x18493,x18494,x18491,x18495,x18496),f733(x18493,x18494,x18492,x18495,x18496))
% 163.96/163.66 [1850]~E(x18501,x18502)+E(f733(x18503,x18504,x18505,x18501,x18506),f733(x18503,x18504,x18505,x18502,x18506))
% 163.96/163.66 [1851]~E(x18511,x18512)+E(f733(x18513,x18514,x18515,x18516,x18511),f733(x18513,x18514,x18515,x18516,x18512))
% 163.96/163.66 [1852]~E(x18521,x18522)+E(f60(x18521,x18523,x18524),f60(x18522,x18523,x18524))
% 163.96/163.66 [1853]~E(x18531,x18532)+E(f60(x18533,x18531,x18534),f60(x18533,x18532,x18534))
% 163.96/163.66 [1854]~E(x18541,x18542)+E(f60(x18543,x18544,x18541),f60(x18543,x18544,x18542))
% 163.96/163.66 [1855]~E(x18551,x18552)+E(f403(x18551,x18553),f403(x18552,x18553))
% 163.96/163.66 [1856]~E(x18561,x18562)+E(f403(x18563,x18561),f403(x18563,x18562))
% 163.96/163.66 [1857]~E(x18571,x18572)+E(f671(x18571,x18573,x18574,x18575),f671(x18572,x18573,x18574,x18575))
% 163.96/163.66 [1858]~E(x18581,x18582)+E(f671(x18583,x18581,x18584,x18585),f671(x18583,x18582,x18584,x18585))
% 163.96/163.66 [1859]~E(x18591,x18592)+E(f671(x18593,x18594,x18591,x18595),f671(x18593,x18594,x18592,x18595))
% 163.96/163.66 [1860]~E(x18601,x18602)+E(f671(x18603,x18604,x18605,x18601),f671(x18603,x18604,x18605,x18602))
% 163.96/163.66 [1861]~E(x18611,x18612)+E(f868(x18611,x18613,x18614,x18615),f868(x18612,x18613,x18614,x18615))
% 163.96/163.66 [1862]~E(x18621,x18622)+E(f868(x18623,x18621,x18624,x18625),f868(x18623,x18622,x18624,x18625))
% 163.96/163.66 [1863]~E(x18631,x18632)+E(f868(x18633,x18634,x18631,x18635),f868(x18633,x18634,x18632,x18635))
% 163.96/163.66 [1864]~E(x18641,x18642)+E(f868(x18643,x18644,x18645,x18641),f868(x18643,x18644,x18645,x18642))
% 163.96/163.66 [1865]~E(x18651,x18652)+E(f599(x18651,x18653,x18654),f599(x18652,x18653,x18654))
% 163.96/163.66 [1866]~E(x18661,x18662)+E(f599(x18663,x18661,x18664),f599(x18663,x18662,x18664))
% 163.96/163.66 [1867]~E(x18671,x18672)+E(f599(x18673,x18674,x18671),f599(x18673,x18674,x18672))
% 163.96/163.66 [1868]~E(x18681,x18682)+E(f826(x18681,x18683,x18684),f826(x18682,x18683,x18684))
% 163.96/163.66 [1869]~E(x18691,x18692)+E(f826(x18693,x18691,x18694),f826(x18693,x18692,x18694))
% 163.96/163.66 [1870]~E(x18701,x18702)+E(f826(x18703,x18704,x18701),f826(x18703,x18704,x18702))
% 163.96/163.66 [1871]~E(x18711,x18712)+E(f431(x18711,x18713),f431(x18712,x18713))
% 163.96/163.66 [1872]~E(x18721,x18722)+E(f431(x18723,x18721),f431(x18723,x18722))
% 163.96/163.66 [1873]~E(x18731,x18732)+E(f496(x18731,x18733,x18734),f496(x18732,x18733,x18734))
% 163.96/163.66 [1874]~E(x18741,x18742)+E(f496(x18743,x18741,x18744),f496(x18743,x18742,x18744))
% 163.96/163.66 [1875]~E(x18751,x18752)+E(f496(x18753,x18754,x18751),f496(x18753,x18754,x18752))
% 163.96/163.66 [1876]~E(x18761,x18762)+E(f570(x18761),f570(x18762))
% 163.96/163.66 [1877]~E(x18771,x18772)+E(f664(x18771,x18773,x18774),f664(x18772,x18773,x18774))
% 163.96/163.66 [1878]~E(x18781,x18782)+E(f664(x18783,x18781,x18784),f664(x18783,x18782,x18784))
% 163.96/163.66 [1879]~E(x18791,x18792)+E(f664(x18793,x18794,x18791),f664(x18793,x18794,x18792))
% 163.96/163.66 [1880]~E(x18801,x18802)+E(f775(x18801,x18803),f775(x18802,x18803))
% 163.96/163.66 [1881]~E(x18811,x18812)+E(f775(x18813,x18811),f775(x18813,x18812))
% 163.96/163.66 [1882]~E(x18821,x18822)+E(f694(x18821,x18823),f694(x18822,x18823))
% 163.96/163.66 [1883]~E(x18831,x18832)+E(f694(x18833,x18831),f694(x18833,x18832))
% 163.96/163.66 [1884]~E(x18841,x18842)+E(f533(x18841,x18843,x18844,x18845),f533(x18842,x18843,x18844,x18845))
% 163.96/163.66 [1885]~E(x18851,x18852)+E(f533(x18853,x18851,x18854,x18855),f533(x18853,x18852,x18854,x18855))
% 163.96/163.66 [1886]~E(x18861,x18862)+E(f533(x18863,x18864,x18861,x18865),f533(x18863,x18864,x18862,x18865))
% 163.96/163.66 [1887]~E(x18871,x18872)+E(f533(x18873,x18874,x18875,x18871),f533(x18873,x18874,x18875,x18872))
% 163.96/163.66 [1888]~E(x18881,x18882)+E(f120(x18881,x18883,x18884,x18885),f120(x18882,x18883,x18884,x18885))
% 163.96/163.66 [1889]~E(x18891,x18892)+E(f120(x18893,x18891,x18894,x18895),f120(x18893,x18892,x18894,x18895))
% 163.96/163.66 [1890]~E(x18901,x18902)+E(f120(x18903,x18904,x18901,x18905),f120(x18903,x18904,x18902,x18905))
% 163.96/163.66 [1891]~E(x18911,x18912)+E(f120(x18913,x18914,x18915,x18911),f120(x18913,x18914,x18915,x18912))
% 163.96/163.66 [1892]~E(x18921,x18922)+E(f473(x18921,x18923,x18924),f473(x18922,x18923,x18924))
% 163.96/163.66 [1893]~E(x18931,x18932)+E(f473(x18933,x18931,x18934),f473(x18933,x18932,x18934))
% 163.96/163.66 [1894]~E(x18941,x18942)+E(f473(x18943,x18944,x18941),f473(x18943,x18944,x18942))
% 163.96/163.66 [1895]~E(x18951,x18952)+E(f834(x18951,x18953,x18954,x18955,x18956,x18957,x18958,x18959),f834(x18952,x18953,x18954,x18955,x18956,x18957,x18958,x18959))
% 163.96/163.66 [1896]~E(x18961,x18962)+E(f834(x18963,x18961,x18964,x18965,x18966,x18967,x18968,x18969),f834(x18963,x18962,x18964,x18965,x18966,x18967,x18968,x18969))
% 163.96/163.66 [1897]~E(x18971,x18972)+E(f834(x18973,x18974,x18971,x18975,x18976,x18977,x18978,x18979),f834(x18973,x18974,x18972,x18975,x18976,x18977,x18978,x18979))
% 163.96/163.66 [1898]~E(x18981,x18982)+E(f834(x18983,x18984,x18985,x18981,x18986,x18987,x18988,x18989),f834(x18983,x18984,x18985,x18982,x18986,x18987,x18988,x18989))
% 163.96/163.66 [1899]~E(x18991,x18992)+E(f834(x18993,x18994,x18995,x18996,x18991,x18997,x18998,x18999),f834(x18993,x18994,x18995,x18996,x18992,x18997,x18998,x18999))
% 163.96/163.66 [1900]~E(x19001,x19002)+E(f834(x19003,x19004,x19005,x19006,x19007,x19001,x19008,x19009),f834(x19003,x19004,x19005,x19006,x19007,x19002,x19008,x19009))
% 163.96/163.66 [1901]~E(x19011,x19012)+E(f834(x19013,x19014,x19015,x19016,x19017,x19018,x19011,x19019),f834(x19013,x19014,x19015,x19016,x19017,x19018,x19012,x19019))
% 163.96/163.66 [1902]~E(x19021,x19022)+E(f834(x19023,x19024,x19025,x19026,x19027,x19028,x19029,x19021),f834(x19023,x19024,x19025,x19026,x19027,x19028,x19029,x19022))
% 163.96/163.66 [1903]~E(x19031,x19032)+E(f701(x19031,x19033),f701(x19032,x19033))
% 163.96/163.66 [1904]~E(x19041,x19042)+E(f701(x19043,x19041),f701(x19043,x19042))
% 163.96/163.66 [1905]~E(x19051,x19052)+E(f732(x19051,x19053,x19054,x19055),f732(x19052,x19053,x19054,x19055))
% 163.96/163.66 [1906]~E(x19061,x19062)+E(f732(x19063,x19061,x19064,x19065),f732(x19063,x19062,x19064,x19065))
% 163.96/163.66 [1907]~E(x19071,x19072)+E(f732(x19073,x19074,x19071,x19075),f732(x19073,x19074,x19072,x19075))
% 163.96/163.66 [1908]~E(x19081,x19082)+E(f732(x19083,x19084,x19085,x19081),f732(x19083,x19084,x19085,x19082))
% 163.96/163.66 [1909]~E(x19091,x19092)+E(f441(x19091),f441(x19092))
% 163.96/163.66 [1910]~E(x19101,x19102)+E(f448(x19101,x19103,x19104,x19105),f448(x19102,x19103,x19104,x19105))
% 163.96/163.66 [1911]~E(x19111,x19112)+E(f448(x19113,x19111,x19114,x19115),f448(x19113,x19112,x19114,x19115))
% 163.96/163.66 [1912]~E(x19121,x19122)+E(f448(x19123,x19124,x19121,x19125),f448(x19123,x19124,x19122,x19125))
% 163.96/163.66 [1913]~E(x19131,x19132)+E(f448(x19133,x19134,x19135,x19131),f448(x19133,x19134,x19135,x19132))
% 163.96/163.66 [1914]~E(x19141,x19142)+E(f404(x19141,x19143),f404(x19142,x19143))
% 163.96/163.66 [1915]~E(x19151,x19152)+E(f404(x19153,x19151),f404(x19153,x19152))
% 163.96/163.66 [1916]~E(x19161,x19162)+E(f743(x19161,x19163,x19164),f743(x19162,x19163,x19164))
% 163.96/163.66 [1917]~E(x19171,x19172)+E(f743(x19173,x19171,x19174),f743(x19173,x19172,x19174))
% 163.96/163.66 [1918]~E(x19181,x19182)+E(f743(x19183,x19184,x19181),f743(x19183,x19184,x19182))
% 163.96/163.66 [1919]~E(x19191,x19192)+E(f584(x19191,x19193,x19194,x19195,x19196,x19197),f584(x19192,x19193,x19194,x19195,x19196,x19197))
% 163.96/163.66 [1920]~E(x19201,x19202)+E(f584(x19203,x19201,x19204,x19205,x19206,x19207),f584(x19203,x19202,x19204,x19205,x19206,x19207))
% 163.96/163.66 [1921]~E(x19211,x19212)+E(f584(x19213,x19214,x19211,x19215,x19216,x19217),f584(x19213,x19214,x19212,x19215,x19216,x19217))
% 163.96/163.66 [1922]~E(x19221,x19222)+E(f584(x19223,x19224,x19225,x19221,x19226,x19227),f584(x19223,x19224,x19225,x19222,x19226,x19227))
% 163.96/163.66 [1923]~E(x19231,x19232)+E(f584(x19233,x19234,x19235,x19236,x19231,x19237),f584(x19233,x19234,x19235,x19236,x19232,x19237))
% 163.96/163.66 [1924]~E(x19241,x19242)+E(f584(x19243,x19244,x19245,x19246,x19247,x19241),f584(x19243,x19244,x19245,x19246,x19247,x19242))
% 163.96/163.66 [1925]~E(x19251,x19252)+E(f46(x19251,x19253),f46(x19252,x19253))
% 163.96/163.66 [1926]~E(x19261,x19262)+E(f46(x19263,x19261),f46(x19263,x19262))
% 163.96/163.66 [1927]~E(x19271,x19272)+E(f581(x19271,x19273,x19274,x19275,x19276,x19277),f581(x19272,x19273,x19274,x19275,x19276,x19277))
% 163.96/163.66 [1928]~E(x19281,x19282)+E(f581(x19283,x19281,x19284,x19285,x19286,x19287),f581(x19283,x19282,x19284,x19285,x19286,x19287))
% 163.96/163.66 [1929]~E(x19291,x19292)+E(f581(x19293,x19294,x19291,x19295,x19296,x19297),f581(x19293,x19294,x19292,x19295,x19296,x19297))
% 163.96/163.66 [1930]~E(x19301,x19302)+E(f581(x19303,x19304,x19305,x19301,x19306,x19307),f581(x19303,x19304,x19305,x19302,x19306,x19307))
% 163.96/163.66 [1931]~E(x19311,x19312)+E(f581(x19313,x19314,x19315,x19316,x19311,x19317),f581(x19313,x19314,x19315,x19316,x19312,x19317))
% 163.96/163.66 [1932]~E(x19321,x19322)+E(f581(x19323,x19324,x19325,x19326,x19327,x19321),f581(x19323,x19324,x19325,x19326,x19327,x19322))
% 163.96/163.66 [1933]~E(x19331,x19332)+E(f542(x19331,x19333,x19334,x19335,x19336,x19337),f542(x19332,x19333,x19334,x19335,x19336,x19337))
% 163.96/163.66 [1934]~E(x19341,x19342)+E(f542(x19343,x19341,x19344,x19345,x19346,x19347),f542(x19343,x19342,x19344,x19345,x19346,x19347))
% 163.96/163.66 [1935]~E(x19351,x19352)+E(f542(x19353,x19354,x19351,x19355,x19356,x19357),f542(x19353,x19354,x19352,x19355,x19356,x19357))
% 163.96/163.66 [1936]~E(x19361,x19362)+E(f542(x19363,x19364,x19365,x19361,x19366,x19367),f542(x19363,x19364,x19365,x19362,x19366,x19367))
% 163.96/163.66 [1937]~E(x19371,x19372)+E(f542(x19373,x19374,x19375,x19376,x19371,x19377),f542(x19373,x19374,x19375,x19376,x19372,x19377))
% 163.96/163.66 [1938]~E(x19381,x19382)+E(f542(x19383,x19384,x19385,x19386,x19387,x19381),f542(x19383,x19384,x19385,x19386,x19387,x19382))
% 163.96/163.66 [1939]~E(x19391,x19392)+E(f454(x19391,x19393,x19394),f454(x19392,x19393,x19394))
% 163.96/163.66 [1940]~E(x19401,x19402)+E(f454(x19403,x19401,x19404),f454(x19403,x19402,x19404))
% 163.96/163.66 [1941]~E(x19411,x19412)+E(f454(x19413,x19414,x19411),f454(x19413,x19414,x19412))
% 163.96/163.66 [1942]~E(x19421,x19422)+E(f861(x19421,x19423,x19424,x19425,x19426),f861(x19422,x19423,x19424,x19425,x19426))
% 163.96/163.66 [1943]~E(x19431,x19432)+E(f861(x19433,x19431,x19434,x19435,x19436),f861(x19433,x19432,x19434,x19435,x19436))
% 163.96/163.66 [1944]~E(x19441,x19442)+E(f861(x19443,x19444,x19441,x19445,x19446),f861(x19443,x19444,x19442,x19445,x19446))
% 163.96/163.66 [1945]~E(x19451,x19452)+E(f861(x19453,x19454,x19455,x19451,x19456),f861(x19453,x19454,x19455,x19452,x19456))
% 163.96/163.66 [1946]~E(x19461,x19462)+E(f861(x19463,x19464,x19465,x19466,x19461),f861(x19463,x19464,x19465,x19466,x19462))
% 163.96/163.66 [1947]~E(x19471,x19472)+E(f510(x19471,x19473,x19474,x19475),f510(x19472,x19473,x19474,x19475))
% 163.96/163.66 [1948]~E(x19481,x19482)+E(f510(x19483,x19481,x19484,x19485),f510(x19483,x19482,x19484,x19485))
% 163.96/163.66 [1949]~E(x19491,x19492)+E(f510(x19493,x19494,x19491,x19495),f510(x19493,x19494,x19492,x19495))
% 163.96/163.66 [1950]~E(x19501,x19502)+E(f510(x19503,x19504,x19505,x19501),f510(x19503,x19504,x19505,x19502))
% 163.96/163.66 [1951]~E(x19511,x19512)+E(f783(x19511,x19513,x19514,x19515,x19516,x19517,x19518),f783(x19512,x19513,x19514,x19515,x19516,x19517,x19518))
% 163.96/163.66 [1952]~E(x19521,x19522)+E(f783(x19523,x19521,x19524,x19525,x19526,x19527,x19528),f783(x19523,x19522,x19524,x19525,x19526,x19527,x19528))
% 163.96/163.66 [1953]~E(x19531,x19532)+E(f783(x19533,x19534,x19531,x19535,x19536,x19537,x19538),f783(x19533,x19534,x19532,x19535,x19536,x19537,x19538))
% 163.96/163.66 [1954]~E(x19541,x19542)+E(f783(x19543,x19544,x19545,x19541,x19546,x19547,x19548),f783(x19543,x19544,x19545,x19542,x19546,x19547,x19548))
% 163.96/163.66 [1955]~E(x19551,x19552)+E(f783(x19553,x19554,x19555,x19556,x19551,x19557,x19558),f783(x19553,x19554,x19555,x19556,x19552,x19557,x19558))
% 163.96/163.66 [1956]~E(x19561,x19562)+E(f783(x19563,x19564,x19565,x19566,x19567,x19561,x19568),f783(x19563,x19564,x19565,x19566,x19567,x19562,x19568))
% 163.96/163.66 [1957]~E(x19571,x19572)+E(f783(x19573,x19574,x19575,x19576,x19577,x19578,x19571),f783(x19573,x19574,x19575,x19576,x19577,x19578,x19572))
% 163.96/163.66 [1958]~E(x19581,x19582)+E(f675(x19581,x19583,x19584,x19585,x19586),f675(x19582,x19583,x19584,x19585,x19586))
% 163.96/163.66 [1959]~E(x19591,x19592)+E(f675(x19593,x19591,x19594,x19595,x19596),f675(x19593,x19592,x19594,x19595,x19596))
% 163.96/163.66 [1960]~E(x19601,x19602)+E(f675(x19603,x19604,x19601,x19605,x19606),f675(x19603,x19604,x19602,x19605,x19606))
% 163.96/163.66 [1961]~E(x19611,x19612)+E(f675(x19613,x19614,x19615,x19611,x19616),f675(x19613,x19614,x19615,x19612,x19616))
% 163.96/163.66 [1962]~E(x19621,x19622)+E(f675(x19623,x19624,x19625,x19626,x19621),f675(x19623,x19624,x19625,x19626,x19622))
% 163.96/163.66 [1963]~E(x19631,x19632)+E(f423(x19631),f423(x19632))
% 163.96/163.66 [1964]~E(x19641,x19642)+E(f283(x19641,x19643,x19644),f283(x19642,x19643,x19644))
% 163.96/163.66 [1965]~E(x19651,x19652)+E(f283(x19653,x19651,x19654),f283(x19653,x19652,x19654))
% 163.96/163.66 [1966]~E(x19661,x19662)+E(f283(x19663,x19664,x19661),f283(x19663,x19664,x19662))
% 163.96/163.66 [1967]~E(x19671,x19672)+E(f620(x19671,x19673,x19674,x19675,x19676),f620(x19672,x19673,x19674,x19675,x19676))
% 163.96/163.66 [1968]~E(x19681,x19682)+E(f620(x19683,x19681,x19684,x19685,x19686),f620(x19683,x19682,x19684,x19685,x19686))
% 163.96/163.66 [1969]~E(x19691,x19692)+E(f620(x19693,x19694,x19691,x19695,x19696),f620(x19693,x19694,x19692,x19695,x19696))
% 163.96/163.66 [1970]~E(x19701,x19702)+E(f620(x19703,x19704,x19705,x19701,x19706),f620(x19703,x19704,x19705,x19702,x19706))
% 163.96/163.66 [1971]~E(x19711,x19712)+E(f620(x19713,x19714,x19715,x19716,x19711),f620(x19713,x19714,x19715,x19716,x19712))
% 163.96/163.66 [1972]~E(x19721,x19722)+E(f576(x19721,x19723,x19724,x19725),f576(x19722,x19723,x19724,x19725))
% 163.96/163.66 [1973]~E(x19731,x19732)+E(f576(x19733,x19731,x19734,x19735),f576(x19733,x19732,x19734,x19735))
% 163.96/163.66 [1974]~E(x19741,x19742)+E(f576(x19743,x19744,x19741,x19745),f576(x19743,x19744,x19742,x19745))
% 163.96/163.66 [1975]~E(x19751,x19752)+E(f576(x19753,x19754,x19755,x19751),f576(x19753,x19754,x19755,x19752))
% 163.96/163.66 [1976]~E(x19761,x19762)+E(f21(x19761,x19763),f21(x19762,x19763))
% 163.96/163.66 [1977]~E(x19771,x19772)+E(f21(x19773,x19771),f21(x19773,x19772))
% 163.96/163.66 [1978]~E(x19781,x19782)+E(f881(x19781,x19783,x19784,x19785,x19786),f881(x19782,x19783,x19784,x19785,x19786))
% 163.96/163.66 [1979]~E(x19791,x19792)+E(f881(x19793,x19791,x19794,x19795,x19796),f881(x19793,x19792,x19794,x19795,x19796))
% 163.96/163.66 [1980]~E(x19801,x19802)+E(f881(x19803,x19804,x19801,x19805,x19806),f881(x19803,x19804,x19802,x19805,x19806))
% 163.96/163.66 [1981]~E(x19811,x19812)+E(f881(x19813,x19814,x19815,x19811,x19816),f881(x19813,x19814,x19815,x19812,x19816))
% 163.96/163.66 [1982]~E(x19821,x19822)+E(f881(x19823,x19824,x19825,x19826,x19821),f881(x19823,x19824,x19825,x19826,x19822))
% 163.96/163.66 [1983]~E(x19831,x19832)+E(f877(x19831,x19833,x19834,x19835),f877(x19832,x19833,x19834,x19835))
% 163.96/163.66 [1984]~E(x19841,x19842)+E(f877(x19843,x19841,x19844,x19845),f877(x19843,x19842,x19844,x19845))
% 163.96/163.66 [1985]~E(x19851,x19852)+E(f877(x19853,x19854,x19851,x19855),f877(x19853,x19854,x19852,x19855))
% 163.96/163.66 [1986]~E(x19861,x19862)+E(f877(x19863,x19864,x19865,x19861),f877(x19863,x19864,x19865,x19862))
% 163.96/163.66 [1987]~E(x19871,x19872)+E(f596(x19871,x19873,x19874,x19875),f596(x19872,x19873,x19874,x19875))
% 163.96/163.66 [1988]~E(x19881,x19882)+E(f596(x19883,x19881,x19884,x19885),f596(x19883,x19882,x19884,x19885))
% 163.96/163.67 [1989]~E(x19891,x19892)+E(f596(x19893,x19894,x19891,x19895),f596(x19893,x19894,x19892,x19895))
% 163.96/163.67 [1990]~E(x19901,x19902)+E(f596(x19903,x19904,x19905,x19901),f596(x19903,x19904,x19905,x19902))
% 163.96/163.67 [1991]~E(x19911,x19912)+E(f657(x19911,x19913,x19914,x19915),f657(x19912,x19913,x19914,x19915))
% 163.96/163.67 [1992]~E(x19921,x19922)+E(f657(x19923,x19921,x19924,x19925),f657(x19923,x19922,x19924,x19925))
% 163.96/163.67 [1993]~E(x19931,x19932)+E(f657(x19933,x19934,x19931,x19935),f657(x19933,x19934,x19932,x19935))
% 163.96/163.67 [1994]~E(x19941,x19942)+E(f657(x19943,x19944,x19945,x19941),f657(x19943,x19944,x19945,x19942))
% 163.96/163.67 [1995]~E(x19951,x19952)+E(f880(x19951,x19953,x19954,x19955,x19956),f880(x19952,x19953,x19954,x19955,x19956))
% 163.96/163.67 [1996]~E(x19961,x19962)+E(f880(x19963,x19961,x19964,x19965,x19966),f880(x19963,x19962,x19964,x19965,x19966))
% 163.96/163.67 [1997]~E(x19971,x19972)+E(f880(x19973,x19974,x19971,x19975,x19976),f880(x19973,x19974,x19972,x19975,x19976))
% 163.96/163.67 [1998]~E(x19981,x19982)+E(f880(x19983,x19984,x19985,x19981,x19986),f880(x19983,x19984,x19985,x19982,x19986))
% 163.96/163.67 [1999]~E(x19991,x19992)+E(f880(x19993,x19994,x19995,x19996,x19991),f880(x19993,x19994,x19995,x19996,x19992))
% 163.96/163.67 [2000]~E(x20001,x20002)+E(f547(x20001,x20003,x20004,x20005,x20006),f547(x20002,x20003,x20004,x20005,x20006))
% 163.96/163.67 [2001]~E(x20011,x20012)+E(f547(x20013,x20011,x20014,x20015,x20016),f547(x20013,x20012,x20014,x20015,x20016))
% 163.96/163.67 [2002]~E(x20021,x20022)+E(f547(x20023,x20024,x20021,x20025,x20026),f547(x20023,x20024,x20022,x20025,x20026))
% 163.96/163.67 [2003]~E(x20031,x20032)+E(f547(x20033,x20034,x20035,x20031,x20036),f547(x20033,x20034,x20035,x20032,x20036))
% 163.96/163.67 [2004]~E(x20041,x20042)+E(f547(x20043,x20044,x20045,x20046,x20041),f547(x20043,x20044,x20045,x20046,x20042))
% 163.96/163.67 [2005]~E(x20051,x20052)+E(f606(x20051,x20053),f606(x20052,x20053))
% 163.96/163.67 [2006]~E(x20061,x20062)+E(f606(x20063,x20061),f606(x20063,x20062))
% 163.96/163.67 [2007]~E(x20071,x20072)+E(f540(x20071,x20073,x20074,x20075,x20076),f540(x20072,x20073,x20074,x20075,x20076))
% 163.96/163.67 [2008]~E(x20081,x20082)+E(f540(x20083,x20081,x20084,x20085,x20086),f540(x20083,x20082,x20084,x20085,x20086))
% 163.96/163.67 [2009]~E(x20091,x20092)+E(f540(x20093,x20094,x20091,x20095,x20096),f540(x20093,x20094,x20092,x20095,x20096))
% 163.96/163.67 [2010]~E(x20101,x20102)+E(f540(x20103,x20104,x20105,x20101,x20106),f540(x20103,x20104,x20105,x20102,x20106))
% 163.96/163.67 [2011]~E(x20111,x20112)+E(f540(x20113,x20114,x20115,x20116,x20111),f540(x20113,x20114,x20115,x20116,x20112))
% 163.96/163.67 [2012]~E(x20121,x20122)+E(f457(x20121,x20123,x20124),f457(x20122,x20123,x20124))
% 163.96/163.67 [2013]~E(x20131,x20132)+E(f457(x20133,x20131,x20134),f457(x20133,x20132,x20134))
% 163.96/163.67 [2014]~E(x20141,x20142)+E(f457(x20143,x20144,x20141),f457(x20143,x20144,x20142))
% 163.96/163.67 [2015]~E(x20151,x20152)+E(f888(x20151,x20153),f888(x20152,x20153))
% 163.96/163.67 [2016]~E(x20161,x20162)+E(f888(x20163,x20161),f888(x20163,x20162))
% 163.96/163.67 [2017]~E(x20171,x20172)+E(f343(x20171,x20173,x20174),f343(x20172,x20173,x20174))
% 163.96/163.67 [2018]~E(x20181,x20182)+E(f343(x20183,x20181,x20184),f343(x20183,x20182,x20184))
% 163.96/163.67 [2019]~E(x20191,x20192)+E(f343(x20193,x20194,x20191),f343(x20193,x20194,x20192))
% 163.96/163.67 [2020]~E(x20201,x20202)+E(f220(x20201,x20203,x20204),f220(x20202,x20203,x20204))
% 163.96/163.67 [2021]~E(x20211,x20212)+E(f220(x20213,x20211,x20214),f220(x20213,x20212,x20214))
% 163.96/163.67 [2022]~E(x20221,x20222)+E(f220(x20223,x20224,x20221),f220(x20223,x20224,x20222))
% 163.96/163.67 [2023]~E(x20231,x20232)+E(f616(x20231,x20233,x20234,x20235,x20236),f616(x20232,x20233,x20234,x20235,x20236))
% 163.96/163.67 [2024]~E(x20241,x20242)+E(f616(x20243,x20241,x20244,x20245,x20246),f616(x20243,x20242,x20244,x20245,x20246))
% 163.96/163.67 [2025]~E(x20251,x20252)+E(f616(x20253,x20254,x20251,x20255,x20256),f616(x20253,x20254,x20252,x20255,x20256))
% 163.96/163.67 [2026]~E(x20261,x20262)+E(f616(x20263,x20264,x20265,x20261,x20266),f616(x20263,x20264,x20265,x20262,x20266))
% 163.96/163.67 [2027]~E(x20271,x20272)+E(f616(x20273,x20274,x20275,x20276,x20271),f616(x20273,x20274,x20275,x20276,x20272))
% 163.96/163.67 [2028]~E(x20281,x20282)+E(f331(x20281,x20283,x20284,x20285,x20286,x20287),f331(x20282,x20283,x20284,x20285,x20286,x20287))
% 163.96/163.67 [2029]~E(x20291,x20292)+E(f331(x20293,x20291,x20294,x20295,x20296,x20297),f331(x20293,x20292,x20294,x20295,x20296,x20297))
% 163.96/163.67 [2030]~E(x20301,x20302)+E(f331(x20303,x20304,x20301,x20305,x20306,x20307),f331(x20303,x20304,x20302,x20305,x20306,x20307))
% 163.96/163.67 [2031]~E(x20311,x20312)+E(f331(x20313,x20314,x20315,x20311,x20316,x20317),f331(x20313,x20314,x20315,x20312,x20316,x20317))
% 163.96/163.67 [2032]~E(x20321,x20322)+E(f331(x20323,x20324,x20325,x20326,x20321,x20327),f331(x20323,x20324,x20325,x20326,x20322,x20327))
% 163.96/163.67 [2033]~E(x20331,x20332)+E(f331(x20333,x20334,x20335,x20336,x20337,x20331),f331(x20333,x20334,x20335,x20336,x20337,x20332))
% 163.96/163.67 [2034]~E(x20341,x20342)+E(f405(x20341,x20343),f405(x20342,x20343))
% 163.96/163.67 [2035]~E(x20351,x20352)+E(f405(x20353,x20351),f405(x20353,x20352))
% 163.96/163.67 [2036]~E(x20361,x20362)+E(f325(x20361,x20363),f325(x20362,x20363))
% 163.96/163.67 [2037]~E(x20371,x20372)+E(f325(x20373,x20371),f325(x20373,x20372))
% 163.96/163.67 [2038]~E(x20381,x20382)+E(f447(x20381,x20383,x20384,x20385,x20386),f447(x20382,x20383,x20384,x20385,x20386))
% 163.96/163.67 [2039]~E(x20391,x20392)+E(f447(x20393,x20391,x20394,x20395,x20396),f447(x20393,x20392,x20394,x20395,x20396))
% 163.96/163.67 [2040]~E(x20401,x20402)+E(f447(x20403,x20404,x20401,x20405,x20406),f447(x20403,x20404,x20402,x20405,x20406))
% 163.96/163.67 [2041]~E(x20411,x20412)+E(f447(x20413,x20414,x20415,x20411,x20416),f447(x20413,x20414,x20415,x20412,x20416))
% 163.96/163.67 [2042]~E(x20421,x20422)+E(f447(x20423,x20424,x20425,x20426,x20421),f447(x20423,x20424,x20425,x20426,x20422))
% 163.96/163.67 [2043]~E(x20431,x20432)+E(f495(x20431,x20433,x20434),f495(x20432,x20433,x20434))
% 163.96/163.67 [2044]~E(x20441,x20442)+E(f495(x20443,x20441,x20444),f495(x20443,x20442,x20444))
% 163.96/163.67 [2045]~E(x20451,x20452)+E(f495(x20453,x20454,x20451),f495(x20453,x20454,x20452))
% 163.96/163.67 [2046]~E(x20461,x20462)+E(f282(x20461,x20463),f282(x20462,x20463))
% 163.96/163.67 [2047]~E(x20471,x20472)+E(f282(x20473,x20471),f282(x20473,x20472))
% 163.96/163.67 [2048]~E(x20481,x20482)+E(f392(x20481,x20483,x20484),f392(x20482,x20483,x20484))
% 163.96/163.67 [2049]~E(x20491,x20492)+E(f392(x20493,x20491,x20494),f392(x20493,x20492,x20494))
% 163.96/163.67 [2050]~E(x20501,x20502)+E(f392(x20503,x20504,x20501),f392(x20503,x20504,x20502))
% 163.96/163.67 [2051]~E(x20511,x20512)+E(f628(x20511,x20513,x20514,x20515),f628(x20512,x20513,x20514,x20515))
% 163.96/163.67 [2052]~E(x20521,x20522)+E(f628(x20523,x20521,x20524,x20525),f628(x20523,x20522,x20524,x20525))
% 163.96/163.67 [2053]~E(x20531,x20532)+E(f628(x20533,x20534,x20531,x20535),f628(x20533,x20534,x20532,x20535))
% 163.96/163.67 [2054]~E(x20541,x20542)+E(f628(x20543,x20544,x20545,x20541),f628(x20543,x20544,x20545,x20542))
% 163.96/163.67 [2055]~E(x20551,x20552)+E(f82(x20551),f82(x20552))
% 163.96/163.67 [2056]~E(x20561,x20562)+E(f442(x20561,x20563),f442(x20562,x20563))
% 163.96/163.67 [2057]~E(x20571,x20572)+E(f442(x20573,x20571),f442(x20573,x20572))
% 163.96/163.67 [2058]~E(x20581,x20582)+E(f332(x20581,x20583,x20584,x20585,x20586,x20587),f332(x20582,x20583,x20584,x20585,x20586,x20587))
% 163.96/163.67 [2059]~E(x20591,x20592)+E(f332(x20593,x20591,x20594,x20595,x20596,x20597),f332(x20593,x20592,x20594,x20595,x20596,x20597))
% 163.96/163.67 [2060]~E(x20601,x20602)+E(f332(x20603,x20604,x20601,x20605,x20606,x20607),f332(x20603,x20604,x20602,x20605,x20606,x20607))
% 163.96/163.67 [2061]~E(x20611,x20612)+E(f332(x20613,x20614,x20615,x20611,x20616,x20617),f332(x20613,x20614,x20615,x20612,x20616,x20617))
% 163.96/163.67 [2062]~E(x20621,x20622)+E(f332(x20623,x20624,x20625,x20626,x20621,x20627),f332(x20623,x20624,x20625,x20626,x20622,x20627))
% 163.96/163.67 [2063]~E(x20631,x20632)+E(f332(x20633,x20634,x20635,x20636,x20637,x20631),f332(x20633,x20634,x20635,x20636,x20637,x20632))
% 163.96/163.67 [2064]~E(x20641,x20642)+E(f860(x20641,x20643,x20644),f860(x20642,x20643,x20644))
% 163.96/163.67 [2065]~E(x20651,x20652)+E(f860(x20653,x20651,x20654),f860(x20653,x20652,x20654))
% 163.96/163.67 [2066]~E(x20661,x20662)+E(f860(x20663,x20664,x20661),f860(x20663,x20664,x20662))
% 163.96/163.67 [2067]~E(x20671,x20672)+E(f601(x20671,x20673,x20674,x20675,x20676,x20677),f601(x20672,x20673,x20674,x20675,x20676,x20677))
% 163.96/163.67 [2068]~E(x20681,x20682)+E(f601(x20683,x20681,x20684,x20685,x20686,x20687),f601(x20683,x20682,x20684,x20685,x20686,x20687))
% 163.96/163.67 [2069]~E(x20691,x20692)+E(f601(x20693,x20694,x20691,x20695,x20696,x20697),f601(x20693,x20694,x20692,x20695,x20696,x20697))
% 163.96/163.67 [2070]~E(x20701,x20702)+E(f601(x20703,x20704,x20705,x20701,x20706,x20707),f601(x20703,x20704,x20705,x20702,x20706,x20707))
% 163.96/163.67 [2071]~E(x20711,x20712)+E(f601(x20713,x20714,x20715,x20716,x20711,x20717),f601(x20713,x20714,x20715,x20716,x20712,x20717))
% 163.96/163.67 [2072]~E(x20721,x20722)+E(f601(x20723,x20724,x20725,x20726,x20727,x20721),f601(x20723,x20724,x20725,x20726,x20727,x20722))
% 163.96/163.67 [2073]~E(x20731,x20732)+E(f639(x20731,x20733,x20734),f639(x20732,x20733,x20734))
% 163.96/163.67 [2074]~E(x20741,x20742)+E(f639(x20743,x20741,x20744),f639(x20743,x20742,x20744))
% 163.96/163.67 [2075]~E(x20751,x20752)+E(f639(x20753,x20754,x20751),f639(x20753,x20754,x20752))
% 163.96/163.67 [2076]~E(x20761,x20762)+E(f117(x20761,x20763,x20764,x20765,x20766),f117(x20762,x20763,x20764,x20765,x20766))
% 163.96/163.67 [2077]~E(x20771,x20772)+E(f117(x20773,x20771,x20774,x20775,x20776),f117(x20773,x20772,x20774,x20775,x20776))
% 163.96/163.67 [2078]~E(x20781,x20782)+E(f117(x20783,x20784,x20781,x20785,x20786),f117(x20783,x20784,x20782,x20785,x20786))
% 163.96/163.67 [2079]~E(x20791,x20792)+E(f117(x20793,x20794,x20795,x20791,x20796),f117(x20793,x20794,x20795,x20792,x20796))
% 163.96/163.67 [2080]~E(x20801,x20802)+E(f117(x20803,x20804,x20805,x20806,x20801),f117(x20803,x20804,x20805,x20806,x20802))
% 163.96/163.67 [2081]~E(x20811,x20812)+E(f637(x20811,x20813,x20814,x20815,x20816,x20817),f637(x20812,x20813,x20814,x20815,x20816,x20817))
% 163.96/163.67 [2082]~E(x20821,x20822)+E(f637(x20823,x20821,x20824,x20825,x20826,x20827),f637(x20823,x20822,x20824,x20825,x20826,x20827))
% 163.96/163.67 [2083]~E(x20831,x20832)+E(f637(x20833,x20834,x20831,x20835,x20836,x20837),f637(x20833,x20834,x20832,x20835,x20836,x20837))
% 163.96/163.67 [2084]~E(x20841,x20842)+E(f637(x20843,x20844,x20845,x20841,x20846,x20847),f637(x20843,x20844,x20845,x20842,x20846,x20847))
% 163.96/163.67 [2085]~E(x20851,x20852)+E(f637(x20853,x20854,x20855,x20856,x20851,x20857),f637(x20853,x20854,x20855,x20856,x20852,x20857))
% 163.96/163.67 [2086]~E(x20861,x20862)+E(f637(x20863,x20864,x20865,x20866,x20867,x20861),f637(x20863,x20864,x20865,x20866,x20867,x20862))
% 163.96/163.67 [2087]~E(x20871,x20872)+E(f862(x20871,x20873,x20874,x20875,x20876),f862(x20872,x20873,x20874,x20875,x20876))
% 163.96/163.67 [2088]~E(x20881,x20882)+E(f862(x20883,x20881,x20884,x20885,x20886),f862(x20883,x20882,x20884,x20885,x20886))
% 163.96/163.67 [2089]~E(x20891,x20892)+E(f862(x20893,x20894,x20891,x20895,x20896),f862(x20893,x20894,x20892,x20895,x20896))
% 163.96/163.67 [2090]~E(x20901,x20902)+E(f862(x20903,x20904,x20905,x20901,x20906),f862(x20903,x20904,x20905,x20902,x20906))
% 163.96/163.67 [2091]~E(x20911,x20912)+E(f862(x20913,x20914,x20915,x20916,x20911),f862(x20913,x20914,x20915,x20916,x20912))
% 163.96/163.67 [2092]~E(x20921,x20922)+E(f500(x20921,x20923,x20924,x20925),f500(x20922,x20923,x20924,x20925))
% 163.96/163.67 [2093]~E(x20931,x20932)+E(f500(x20933,x20931,x20934,x20935),f500(x20933,x20932,x20934,x20935))
% 163.96/163.67 [2094]~E(x20941,x20942)+E(f500(x20943,x20944,x20941,x20945),f500(x20943,x20944,x20942,x20945))
% 163.96/163.67 [2095]~E(x20951,x20952)+E(f500(x20953,x20954,x20955,x20951),f500(x20953,x20954,x20955,x20952))
% 163.96/163.67 [2096]~E(x20961,x20962)+E(f359(x20961,x20963,x20964),f359(x20962,x20963,x20964))
% 163.96/163.67 [2097]~E(x20971,x20972)+E(f359(x20973,x20971,x20974),f359(x20973,x20972,x20974))
% 163.96/163.67 [2098]~E(x20981,x20982)+E(f359(x20983,x20984,x20981),f359(x20983,x20984,x20982))
% 163.96/163.67 [2099]~E(x20991,x20992)+E(f725(x20991,x20993,x20994,x20995,x20996,x20997,x20998,x20999),f725(x20992,x20993,x20994,x20995,x20996,x20997,x20998,x20999))
% 163.96/163.67 [2100]~E(x21001,x21002)+E(f725(x21003,x21001,x21004,x21005,x21006,x21007,x21008,x21009),f725(x21003,x21002,x21004,x21005,x21006,x21007,x21008,x21009))
% 163.96/163.67 [2101]~E(x21011,x21012)+E(f725(x21013,x21014,x21011,x21015,x21016,x21017,x21018,x21019),f725(x21013,x21014,x21012,x21015,x21016,x21017,x21018,x21019))
% 163.96/163.67 [2102]~E(x21021,x21022)+E(f725(x21023,x21024,x21025,x21021,x21026,x21027,x21028,x21029),f725(x21023,x21024,x21025,x21022,x21026,x21027,x21028,x21029))
% 163.96/163.67 [2103]~E(x21031,x21032)+E(f725(x21033,x21034,x21035,x21036,x21031,x21037,x21038,x21039),f725(x21033,x21034,x21035,x21036,x21032,x21037,x21038,x21039))
% 163.96/163.67 [2104]~E(x21041,x21042)+E(f725(x21043,x21044,x21045,x21046,x21047,x21041,x21048,x21049),f725(x21043,x21044,x21045,x21046,x21047,x21042,x21048,x21049))
% 163.96/163.67 [2105]~E(x21051,x21052)+E(f725(x21053,x21054,x21055,x21056,x21057,x21058,x21051,x21059),f725(x21053,x21054,x21055,x21056,x21057,x21058,x21052,x21059))
% 163.96/163.67 [2106]~E(x21061,x21062)+E(f725(x21063,x21064,x21065,x21066,x21067,x21068,x21069,x21061),f725(x21063,x21064,x21065,x21066,x21067,x21068,x21069,x21062))
% 163.96/163.67 [2107]~E(x21071,x21072)+E(f776(x21071,x21073,x21074,x21075),f776(x21072,x21073,x21074,x21075))
% 163.96/163.67 [2108]~E(x21081,x21082)+E(f776(x21083,x21081,x21084,x21085),f776(x21083,x21082,x21084,x21085))
% 163.96/163.67 [2109]~E(x21091,x21092)+E(f776(x21093,x21094,x21091,x21095),f776(x21093,x21094,x21092,x21095))
% 163.96/163.67 [2110]~E(x21101,x21102)+E(f776(x21103,x21104,x21105,x21101),f776(x21103,x21104,x21105,x21102))
% 163.96/163.67 [2111]~E(x21111,x21112)+E(f530(x21111,x21113,x21114),f530(x21112,x21113,x21114))
% 163.96/163.67 [2112]~E(x21121,x21122)+E(f530(x21123,x21121,x21124),f530(x21123,x21122,x21124))
% 163.96/163.67 [2113]~E(x21131,x21132)+E(f530(x21133,x21134,x21131),f530(x21133,x21134,x21132))
% 163.96/163.67 [2114]~E(x21141,x21142)+E(f700(x21141,x21143),f700(x21142,x21143))
% 163.96/163.67 [2115]~E(x21151,x21152)+E(f700(x21153,x21151),f700(x21153,x21152))
% 163.96/163.67 [2116]~E(x21161,x21162)+E(f577(x21161,x21163,x21164,x21165,x21166,x21167,x21168),f577(x21162,x21163,x21164,x21165,x21166,x21167,x21168))
% 163.96/163.67 [2117]~E(x21171,x21172)+E(f577(x21173,x21171,x21174,x21175,x21176,x21177,x21178),f577(x21173,x21172,x21174,x21175,x21176,x21177,x21178))
% 163.96/163.67 [2118]~E(x21181,x21182)+E(f577(x21183,x21184,x21181,x21185,x21186,x21187,x21188),f577(x21183,x21184,x21182,x21185,x21186,x21187,x21188))
% 163.96/163.67 [2119]~E(x21191,x21192)+E(f577(x21193,x21194,x21195,x21191,x21196,x21197,x21198),f577(x21193,x21194,x21195,x21192,x21196,x21197,x21198))
% 163.96/163.67 [2120]~E(x21201,x21202)+E(f577(x21203,x21204,x21205,x21206,x21201,x21207,x21208),f577(x21203,x21204,x21205,x21206,x21202,x21207,x21208))
% 163.96/163.67 [2121]~E(x21211,x21212)+E(f577(x21213,x21214,x21215,x21216,x21217,x21211,x21218),f577(x21213,x21214,x21215,x21216,x21217,x21212,x21218))
% 163.96/163.67 [2122]~E(x21221,x21222)+E(f577(x21223,x21224,x21225,x21226,x21227,x21228,x21221),f577(x21223,x21224,x21225,x21226,x21227,x21228,x21222))
% 163.96/163.67 [2123]~E(x21231,x21232)+E(f785(x21231,x21233),f785(x21232,x21233))
% 163.96/163.67 [2124]~E(x21241,x21242)+E(f785(x21243,x21241),f785(x21243,x21242))
% 163.96/163.67 [2125]~E(x21251,x21252)+E(f714(x21251,x21253,x21254),f714(x21252,x21253,x21254))
% 163.96/163.67 [2126]~E(x21261,x21262)+E(f714(x21263,x21261,x21264),f714(x21263,x21262,x21264))
% 163.96/163.67 [2127]~E(x21271,x21272)+E(f714(x21273,x21274,x21271),f714(x21273,x21274,x21272))
% 163.96/163.67 [2128]~E(x21281,x21282)+E(f269(x21281,x21283,x21284,x21285),f269(x21282,x21283,x21284,x21285))
% 163.96/163.67 [2129]~E(x21291,x21292)+E(f269(x21293,x21291,x21294,x21295),f269(x21293,x21292,x21294,x21295))
% 163.96/163.67 [2130]~E(x21301,x21302)+E(f269(x21303,x21304,x21301,x21305),f269(x21303,x21304,x21302,x21305))
% 163.96/163.67 [2131]~E(x21311,x21312)+E(f269(x21313,x21314,x21315,x21311),f269(x21313,x21314,x21315,x21312))
% 163.96/163.67 [2132]~E(x21321,x21322)+E(f726(x21321,x21323),f726(x21322,x21323))
% 163.96/163.67 [2133]~E(x21331,x21332)+E(f726(x21333,x21331),f726(x21333,x21332))
% 163.96/163.67 [2134]~E(x21341,x21342)+E(f882(x21341,x21343,x21344,x21345,x21346),f882(x21342,x21343,x21344,x21345,x21346))
% 163.96/163.67 [2135]~E(x21351,x21352)+E(f882(x21353,x21351,x21354,x21355,x21356),f882(x21353,x21352,x21354,x21355,x21356))
% 163.96/163.67 [2136]~E(x21361,x21362)+E(f882(x21363,x21364,x21361,x21365,x21366),f882(x21363,x21364,x21362,x21365,x21366))
% 163.96/163.67 [2137]~E(x21371,x21372)+E(f882(x21373,x21374,x21375,x21371,x21376),f882(x21373,x21374,x21375,x21372,x21376))
% 163.96/163.67 [2138]~E(x21381,x21382)+E(f882(x21383,x21384,x21385,x21386,x21381),f882(x21383,x21384,x21385,x21386,x21382))
% 163.96/163.67 [2139]~E(x21391,x21392)+E(f796(x21391,x21393),f796(x21392,x21393))
% 163.96/163.67 [2140]~E(x21401,x21402)+E(f796(x21403,x21401),f796(x21403,x21402))
% 163.96/163.67 [2141]~E(x21411,x21412)+E(f474(x21411,x21413,x21414,x21415,x21416),f474(x21412,x21413,x21414,x21415,x21416))
% 163.96/163.67 [2142]~E(x21421,x21422)+E(f474(x21423,x21421,x21424,x21425,x21426),f474(x21423,x21422,x21424,x21425,x21426))
% 163.96/163.67 [2143]~E(x21431,x21432)+E(f474(x21433,x21434,x21431,x21435,x21436),f474(x21433,x21434,x21432,x21435,x21436))
% 163.96/163.67 [2144]~E(x21441,x21442)+E(f474(x21443,x21444,x21445,x21441,x21446),f474(x21443,x21444,x21445,x21442,x21446))
% 163.96/163.67 [2145]~E(x21451,x21452)+E(f474(x21453,x21454,x21455,x21456,x21451),f474(x21453,x21454,x21455,x21456,x21452))
% 163.96/163.67 [2146]~E(x21461,x21462)+E(f112(x21461,x21463,x21464,x21465),f112(x21462,x21463,x21464,x21465))
% 163.96/163.67 [2147]~E(x21471,x21472)+E(f112(x21473,x21471,x21474,x21475),f112(x21473,x21472,x21474,x21475))
% 163.96/163.67 [2148]~E(x21481,x21482)+E(f112(x21483,x21484,x21481,x21485),f112(x21483,x21484,x21482,x21485))
% 163.96/163.67 [2149]~E(x21491,x21492)+E(f112(x21493,x21494,x21495,x21491),f112(x21493,x21494,x21495,x21492))
% 163.96/163.67 [2150]~E(x21501,x21502)+E(f590(x21501,x21503,x21504,x21505,x21506),f590(x21502,x21503,x21504,x21505,x21506))
% 163.96/163.67 [2151]~E(x21511,x21512)+E(f590(x21513,x21511,x21514,x21515,x21516),f590(x21513,x21512,x21514,x21515,x21516))
% 163.96/163.67 [2152]~E(x21521,x21522)+E(f590(x21523,x21524,x21521,x21525,x21526),f590(x21523,x21524,x21522,x21525,x21526))
% 163.96/163.67 [2153]~E(x21531,x21532)+E(f590(x21533,x21534,x21535,x21531,x21536),f590(x21533,x21534,x21535,x21532,x21536))
% 163.96/163.67 [2154]~E(x21541,x21542)+E(f590(x21543,x21544,x21545,x21546,x21541),f590(x21543,x21544,x21545,x21546,x21542))
% 163.96/163.67 [2155]~E(x21551,x21552)+E(f624(x21551,x21553,x21554),f624(x21552,x21553,x21554))
% 163.96/163.67 [2156]~E(x21561,x21562)+E(f624(x21563,x21561,x21564),f624(x21563,x21562,x21564))
% 163.96/163.67 [2157]~E(x21571,x21572)+E(f624(x21573,x21574,x21571),f624(x21573,x21574,x21572))
% 163.96/163.67 [2158]~E(x21581,x21582)+E(f186(x21581,x21583,x21584,x21585),f186(x21582,x21583,x21584,x21585))
% 163.96/163.67 [2159]~E(x21591,x21592)+E(f186(x21593,x21591,x21594,x21595),f186(x21593,x21592,x21594,x21595))
% 163.96/163.67 [2160]~E(x21601,x21602)+E(f186(x21603,x21604,x21601,x21605),f186(x21603,x21604,x21602,x21605))
% 163.96/163.67 [2161]~E(x21611,x21612)+E(f186(x21613,x21614,x21615,x21611),f186(x21613,x21614,x21615,x21612))
% 163.96/163.67 [2162]~E(x21621,x21622)+E(f665(x21621,x21623,x21624),f665(x21622,x21623,x21624))
% 163.96/163.67 [2163]~E(x21631,x21632)+E(f665(x21633,x21631,x21634),f665(x21633,x21632,x21634))
% 163.96/163.67 [2164]~E(x21641,x21642)+E(f665(x21643,x21644,x21641),f665(x21643,x21644,x21642))
% 163.96/163.67 [2165]~E(x21651,x21652)+E(f769(x21651,x21653,x21654,x21655,x21656),f769(x21652,x21653,x21654,x21655,x21656))
% 163.96/163.67 [2166]~E(x21661,x21662)+E(f769(x21663,x21661,x21664,x21665,x21666),f769(x21663,x21662,x21664,x21665,x21666))
% 163.96/163.67 [2167]~E(x21671,x21672)+E(f769(x21673,x21674,x21671,x21675,x21676),f769(x21673,x21674,x21672,x21675,x21676))
% 163.96/163.67 [2168]~E(x21681,x21682)+E(f769(x21683,x21684,x21685,x21681,x21686),f769(x21683,x21684,x21685,x21682,x21686))
% 163.96/163.67 [2169]~E(x21691,x21692)+E(f769(x21693,x21694,x21695,x21696,x21691),f769(x21693,x21694,x21695,x21696,x21692))
% 163.96/163.67 [2170]~E(x21701,x21702)+E(f760(x21701,x21703,x21704),f760(x21702,x21703,x21704))
% 163.96/163.67 [2171]~E(x21711,x21712)+E(f760(x21713,x21711,x21714),f760(x21713,x21712,x21714))
% 163.96/163.67 [2172]~E(x21721,x21722)+E(f760(x21723,x21724,x21721),f760(x21723,x21724,x21722))
% 163.96/163.67 [2173]~E(x21731,x21732)+E(f348(x21731),f348(x21732))
% 163.96/163.67 [2174]~E(x21741,x21742)+E(f362(x21741,x21743,x21744),f362(x21742,x21743,x21744))
% 163.96/163.67 [2175]~E(x21751,x21752)+E(f362(x21753,x21751,x21754),f362(x21753,x21752,x21754))
% 163.96/163.67 [2176]~E(x21761,x21762)+E(f362(x21763,x21764,x21761),f362(x21763,x21764,x21762))
% 163.96/163.67 [2177]~E(x21771,x21772)+E(f786(x21771,x21773,x21774),f786(x21772,x21773,x21774))
% 163.96/163.67 [2178]~E(x21781,x21782)+E(f786(x21783,x21781,x21784),f786(x21783,x21782,x21784))
% 163.96/163.67 [2179]~E(x21791,x21792)+E(f786(x21793,x21794,x21791),f786(x21793,x21794,x21792))
% 163.96/163.67 [2180]~E(x21801,x21802)+E(f482(x21801,x21803,x21804),f482(x21802,x21803,x21804))
% 163.96/163.67 [2181]~E(x21811,x21812)+E(f482(x21813,x21811,x21814),f482(x21813,x21812,x21814))
% 163.96/163.67 [2182]~E(x21821,x21822)+E(f482(x21823,x21824,x21821),f482(x21823,x21824,x21822))
% 163.96/163.67 [2183]~E(x21831,x21832)+E(f878(x21831,x21833,x21834,x21835),f878(x21832,x21833,x21834,x21835))
% 163.96/163.67 [2184]~E(x21841,x21842)+E(f878(x21843,x21841,x21844,x21845),f878(x21843,x21842,x21844,x21845))
% 163.96/163.67 [2185]~E(x21851,x21852)+E(f878(x21853,x21854,x21851,x21855),f878(x21853,x21854,x21852,x21855))
% 163.96/163.67 [2186]~E(x21861,x21862)+E(f878(x21863,x21864,x21865,x21861),f878(x21863,x21864,x21865,x21862))
% 163.96/163.67 [2187]~E(x21871,x21872)+E(f554(x21871),f554(x21872))
% 163.96/163.67 [2188]~E(x21881,x21882)+E(f615(x21881,x21883,x21884,x21885),f615(x21882,x21883,x21884,x21885))
% 163.96/163.67 [2189]~E(x21891,x21892)+E(f615(x21893,x21891,x21894,x21895),f615(x21893,x21892,x21894,x21895))
% 163.96/163.67 [2190]~E(x21901,x21902)+E(f615(x21903,x21904,x21901,x21905),f615(x21903,x21904,x21902,x21905))
% 163.96/163.67 [2191]~E(x21911,x21912)+E(f615(x21913,x21914,x21915,x21911),f615(x21913,x21914,x21915,x21912))
% 163.96/163.67 [2192]~E(x21921,x21922)+E(f372(x21921,x21923),f372(x21922,x21923))
% 163.96/163.67 [2193]~E(x21931,x21932)+E(f372(x21933,x21931),f372(x21933,x21932))
% 163.96/163.67 [2194]~E(x21941,x21942)+E(f537(x21941,x21943,x21944,x21945,x21946,x21947),f537(x21942,x21943,x21944,x21945,x21946,x21947))
% 163.96/163.67 [2195]~E(x21951,x21952)+E(f537(x21953,x21951,x21954,x21955,x21956,x21957),f537(x21953,x21952,x21954,x21955,x21956,x21957))
% 163.96/163.67 [2196]~E(x21961,x21962)+E(f537(x21963,x21964,x21961,x21965,x21966,x21967),f537(x21963,x21964,x21962,x21965,x21966,x21967))
% 163.96/163.67 [2197]~E(x21971,x21972)+E(f537(x21973,x21974,x21975,x21971,x21976,x21977),f537(x21973,x21974,x21975,x21972,x21976,x21977))
% 163.96/163.67 [2198]~E(x21981,x21982)+E(f537(x21983,x21984,x21985,x21986,x21981,x21987),f537(x21983,x21984,x21985,x21986,x21982,x21987))
% 163.96/163.67 [2199]~E(x21991,x21992)+E(f537(x21993,x21994,x21995,x21996,x21997,x21991),f537(x21993,x21994,x21995,x21996,x21997,x21992))
% 163.96/163.67 [2200]~E(x22001,x22002)+E(f522(x22001,x22003,x22004),f522(x22002,x22003,x22004))
% 163.96/163.67 [2201]~E(x22011,x22012)+E(f522(x22013,x22011,x22014),f522(x22013,x22012,x22014))
% 163.96/163.67 [2202]~E(x22021,x22022)+E(f522(x22023,x22024,x22021),f522(x22023,x22024,x22022))
% 163.96/163.67 [2203]~E(x22031,x22032)+E(f754(x22031,x22033,x22034),f754(x22032,x22033,x22034))
% 163.96/163.67 [2204]~E(x22041,x22042)+E(f754(x22043,x22041,x22044),f754(x22043,x22042,x22044))
% 163.96/163.67 [2205]~E(x22051,x22052)+E(f754(x22053,x22054,x22051),f754(x22053,x22054,x22052))
% 163.96/163.67 [2206]~E(x22061,x22062)+E(f641(x22061,x22063,x22064,x22065,x22066),f641(x22062,x22063,x22064,x22065,x22066))
% 163.96/163.67 [2207]~E(x22071,x22072)+E(f641(x22073,x22071,x22074,x22075,x22076),f641(x22073,x22072,x22074,x22075,x22076))
% 163.96/163.67 [2208]~E(x22081,x22082)+E(f641(x22083,x22084,x22081,x22085,x22086),f641(x22083,x22084,x22082,x22085,x22086))
% 163.96/163.67 [2209]~E(x22091,x22092)+E(f641(x22093,x22094,x22095,x22091,x22096),f641(x22093,x22094,x22095,x22092,x22096))
% 163.96/163.67 [2210]~E(x22101,x22102)+E(f641(x22103,x22104,x22105,x22106,x22101),f641(x22103,x22104,x22105,x22106,x22102))
% 163.96/163.67 [2211]~E(x22111,x22112)+E(f532(x22111,x22113,x22114,x22115,x22116),f532(x22112,x22113,x22114,x22115,x22116))
% 163.96/163.67 [2212]~E(x22121,x22122)+E(f532(x22123,x22121,x22124,x22125,x22126),f532(x22123,x22122,x22124,x22125,x22126))
% 163.96/163.67 [2213]~E(x22131,x22132)+E(f532(x22133,x22134,x22131,x22135,x22136),f532(x22133,x22134,x22132,x22135,x22136))
% 163.96/163.67 [2214]~E(x22141,x22142)+E(f532(x22143,x22144,x22145,x22141,x22146),f532(x22143,x22144,x22145,x22142,x22146))
% 163.96/163.67 [2215]~E(x22151,x22152)+E(f532(x22153,x22154,x22155,x22156,x22151),f532(x22153,x22154,x22155,x22156,x22152))
% 163.96/163.67 [2216]~E(x22161,x22162)+E(f263(x22161,x22163,x22164),f263(x22162,x22163,x22164))
% 163.96/163.67 [2217]~E(x22171,x22172)+E(f263(x22173,x22171,x22174),f263(x22173,x22172,x22174))
% 163.96/163.67 [2218]~E(x22181,x22182)+E(f263(x22183,x22184,x22181),f263(x22183,x22184,x22182))
% 163.96/163.67 [2219]~E(x22191,x22192)+E(f491(x22191,x22193),f491(x22192,x22193))
% 163.96/163.67 [2220]~E(x22201,x22202)+E(f491(x22203,x22201),f491(x22203,x22202))
% 163.96/163.67 [2221]~E(x22211,x22212)+E(f744(x22211,x22213,x22214,x22215),f744(x22212,x22213,x22214,x22215))
% 163.96/163.67 [2222]~E(x22221,x22222)+E(f744(x22223,x22221,x22224,x22225),f744(x22223,x22222,x22224,x22225))
% 163.96/163.67 [2223]~E(x22231,x22232)+E(f744(x22233,x22234,x22231,x22235),f744(x22233,x22234,x22232,x22235))
% 163.96/163.67 [2224]~E(x22241,x22242)+E(f744(x22243,x22244,x22245,x22241),f744(x22243,x22244,x22245,x22242))
% 163.96/163.67 [2225]~E(x22251,x22252)+E(f460(x22251,x22253,x22254),f460(x22252,x22253,x22254))
% 163.96/163.67 [2226]~E(x22261,x22262)+E(f460(x22263,x22261,x22264),f460(x22263,x22262,x22264))
% 163.96/163.67 [2227]~E(x22271,x22272)+E(f460(x22273,x22274,x22271),f460(x22273,x22274,x22272))
% 163.96/163.67 [2228]~E(x22281,x22282)+E(f611(x22281,x22283,x22284,x22285),f611(x22282,x22283,x22284,x22285))
% 163.96/163.67 [2229]~E(x22291,x22292)+E(f611(x22293,x22291,x22294,x22295),f611(x22293,x22292,x22294,x22295))
% 163.96/163.67 [2230]~E(x22301,x22302)+E(f611(x22303,x22304,x22301,x22305),f611(x22303,x22304,x22302,x22305))
% 163.96/163.67 [2231]~E(x22311,x22312)+E(f611(x22313,x22314,x22315,x22311),f611(x22313,x22314,x22315,x22312))
% 163.96/163.67 [2232]~E(x22321,x22322)+E(f727(x22321,x22323,x22324,x22325),f727(x22322,x22323,x22324,x22325))
% 163.96/163.67 [2233]~E(x22331,x22332)+E(f727(x22333,x22331,x22334,x22335),f727(x22333,x22332,x22334,x22335))
% 163.96/163.67 [2234]~E(x22341,x22342)+E(f727(x22343,x22344,x22341,x22345),f727(x22343,x22344,x22342,x22345))
% 163.96/163.67 [2235]~E(x22351,x22352)+E(f727(x22353,x22354,x22355,x22351),f727(x22353,x22354,x22355,x22352))
% 163.96/163.67 [2236]~E(x22361,x22362)+E(f613(x22361,x22363,x22364,x22365,x22366),f613(x22362,x22363,x22364,x22365,x22366))
% 163.96/163.67 [2237]~E(x22371,x22372)+E(f613(x22373,x22371,x22374,x22375,x22376),f613(x22373,x22372,x22374,x22375,x22376))
% 163.96/163.67 [2238]~E(x22381,x22382)+E(f613(x22383,x22384,x22381,x22385,x22386),f613(x22383,x22384,x22382,x22385,x22386))
% 163.96/163.67 [2239]~E(x22391,x22392)+E(f613(x22393,x22394,x22395,x22391,x22396),f613(x22393,x22394,x22395,x22392,x22396))
% 163.96/163.67 [2240]~E(x22401,x22402)+E(f613(x22403,x22404,x22405,x22406,x22401),f613(x22403,x22404,x22405,x22406,x22402))
% 163.96/163.67 [2241]~E(x22411,x22412)+E(f552(x22411,x22413,x22414,x22415,x22416),f552(x22412,x22413,x22414,x22415,x22416))
% 163.96/163.67 [2242]~E(x22421,x22422)+E(f552(x22423,x22421,x22424,x22425,x22426),f552(x22423,x22422,x22424,x22425,x22426))
% 163.96/163.67 [2243]~E(x22431,x22432)+E(f552(x22433,x22434,x22431,x22435,x22436),f552(x22433,x22434,x22432,x22435,x22436))
% 163.96/163.67 [2244]~E(x22441,x22442)+E(f552(x22443,x22444,x22445,x22441,x22446),f552(x22443,x22444,x22445,x22442,x22446))
% 163.96/163.67 [2245]~E(x22451,x22452)+E(f552(x22453,x22454,x22455,x22456,x22451),f552(x22453,x22454,x22455,x22456,x22452))
% 163.96/163.67 [2246]~E(x22461,x22462)+E(f684(x22461,x22463,x22464),f684(x22462,x22463,x22464))
% 163.96/163.67 [2247]~E(x22471,x22472)+E(f684(x22473,x22471,x22474),f684(x22473,x22472,x22474))
% 163.96/163.67 [2248]~E(x22481,x22482)+E(f684(x22483,x22484,x22481),f684(x22483,x22484,x22482))
% 163.96/163.67 [2249]~E(x22491,x22492)+E(f728(x22491,x22493,x22494,x22495,x22496),f728(x22492,x22493,x22494,x22495,x22496))
% 163.96/163.67 [2250]~E(x22501,x22502)+E(f728(x22503,x22501,x22504,x22505,x22506),f728(x22503,x22502,x22504,x22505,x22506))
% 163.96/163.67 [2251]~E(x22511,x22512)+E(f728(x22513,x22514,x22511,x22515,x22516),f728(x22513,x22514,x22512,x22515,x22516))
% 163.96/163.67 [2252]~E(x22521,x22522)+E(f728(x22523,x22524,x22525,x22521,x22526),f728(x22523,x22524,x22525,x22522,x22526))
% 163.96/163.67 [2253]~E(x22531,x22532)+E(f728(x22533,x22534,x22535,x22536,x22531),f728(x22533,x22534,x22535,x22536,x22532))
% 163.96/163.67 [2254]~E(x22541,x22542)+E(f400(x22541,x22543,x22544),f400(x22542,x22543,x22544))
% 163.96/163.67 [2255]~E(x22551,x22552)+E(f400(x22553,x22551,x22554),f400(x22553,x22552,x22554))
% 163.96/163.67 [2256]~E(x22561,x22562)+E(f400(x22563,x22564,x22561),f400(x22563,x22564,x22562))
% 163.96/163.67 [2257]~E(x22571,x22572)+E(f520(x22571,x22573,x22574,x22575,x22576),f520(x22572,x22573,x22574,x22575,x22576))
% 163.96/163.67 [2258]~E(x22581,x22582)+E(f520(x22583,x22581,x22584,x22585,x22586),f520(x22583,x22582,x22584,x22585,x22586))
% 163.96/163.67 [2259]~E(x22591,x22592)+E(f520(x22593,x22594,x22591,x22595,x22596),f520(x22593,x22594,x22592,x22595,x22596))
% 163.96/163.67 [2260]~E(x22601,x22602)+E(f520(x22603,x22604,x22605,x22601,x22606),f520(x22603,x22604,x22605,x22602,x22606))
% 163.96/163.67 [2261]~E(x22611,x22612)+E(f520(x22613,x22614,x22615,x22616,x22611),f520(x22613,x22614,x22615,x22616,x22612))
% 163.96/163.67 [2262]~E(x22621,x22622)+E(f874(x22621,x22623,x22624,x22625),f874(x22622,x22623,x22624,x22625))
% 163.96/163.67 [2263]~E(x22631,x22632)+E(f874(x22633,x22631,x22634,x22635),f874(x22633,x22632,x22634,x22635))
% 163.96/163.67 [2264]~E(x22641,x22642)+E(f874(x22643,x22644,x22641,x22645),f874(x22643,x22644,x22642,x22645))
% 163.96/163.67 [2265]~E(x22651,x22652)+E(f874(x22653,x22654,x22655,x22651),f874(x22653,x22654,x22655,x22652))
% 163.96/163.67 [2266]~E(x22661,x22662)+E(f836(x22661,x22663,x22664,x22665,x22666,x22667,x22668),f836(x22662,x22663,x22664,x22665,x22666,x22667,x22668))
% 163.96/163.67 [2267]~E(x22671,x22672)+E(f836(x22673,x22671,x22674,x22675,x22676,x22677,x22678),f836(x22673,x22672,x22674,x22675,x22676,x22677,x22678))
% 163.96/163.67 [2268]~E(x22681,x22682)+E(f836(x22683,x22684,x22681,x22685,x22686,x22687,x22688),f836(x22683,x22684,x22682,x22685,x22686,x22687,x22688))
% 163.96/163.67 [2269]~E(x22691,x22692)+E(f836(x22693,x22694,x22695,x22691,x22696,x22697,x22698),f836(x22693,x22694,x22695,x22692,x22696,x22697,x22698))
% 163.96/163.67 [2270]~E(x22701,x22702)+E(f836(x22703,x22704,x22705,x22706,x22701,x22707,x22708),f836(x22703,x22704,x22705,x22706,x22702,x22707,x22708))
% 163.96/163.67 [2271]~E(x22711,x22712)+E(f836(x22713,x22714,x22715,x22716,x22717,x22711,x22718),f836(x22713,x22714,x22715,x22716,x22717,x22712,x22718))
% 163.96/163.67 [2272]~E(x22721,x22722)+E(f836(x22723,x22724,x22725,x22726,x22727,x22728,x22721),f836(x22723,x22724,x22725,x22726,x22727,x22728,x22722))
% 163.96/163.67 [2273]~E(x22731,x22732)+E(f645(x22731,x22733,x22734,x22735,x22736),f645(x22732,x22733,x22734,x22735,x22736))
% 163.96/163.67 [2274]~E(x22741,x22742)+E(f645(x22743,x22741,x22744,x22745,x22746),f645(x22743,x22742,x22744,x22745,x22746))
% 163.96/163.67 [2275]~E(x22751,x22752)+E(f645(x22753,x22754,x22751,x22755,x22756),f645(x22753,x22754,x22752,x22755,x22756))
% 163.96/163.67 [2276]~E(x22761,x22762)+E(f645(x22763,x22764,x22765,x22761,x22766),f645(x22763,x22764,x22765,x22762,x22766))
% 163.96/163.67 [2277]~E(x22771,x22772)+E(f645(x22773,x22774,x22775,x22776,x22771),f645(x22773,x22774,x22775,x22776,x22772))
% 163.96/163.67 [2278]~E(x22781,x22782)+E(f349(x22781,x22783,x22784),f349(x22782,x22783,x22784))
% 163.96/163.67 [2279]~E(x22791,x22792)+E(f349(x22793,x22791,x22794),f349(x22793,x22792,x22794))
% 163.96/163.67 [2280]~E(x22801,x22802)+E(f349(x22803,x22804,x22801),f349(x22803,x22804,x22802))
% 163.96/163.67 [2281]~E(x22811,x22812)+E(f388(x22811,x22813,x22814,x22815),f388(x22812,x22813,x22814,x22815))
% 163.96/163.67 [2282]~E(x22821,x22822)+E(f388(x22823,x22821,x22824,x22825),f388(x22823,x22822,x22824,x22825))
% 163.96/163.67 [2283]~E(x22831,x22832)+E(f388(x22833,x22834,x22831,x22835),f388(x22833,x22834,x22832,x22835))
% 163.96/163.67 [2284]~E(x22841,x22842)+E(f388(x22843,x22844,x22845,x22841),f388(x22843,x22844,x22845,x22842))
% 163.96/163.67 [2285]~E(x22851,x22852)+E(f425(x22851),f425(x22852))
% 163.96/163.67 [2286]~E(x22861,x22862)+E(f790(x22861,x22863,x22864,x22865),f790(x22862,x22863,x22864,x22865))
% 163.96/163.67 [2287]~E(x22871,x22872)+E(f790(x22873,x22871,x22874,x22875),f790(x22873,x22872,x22874,x22875))
% 163.96/163.67 [2288]~E(x22881,x22882)+E(f790(x22883,x22884,x22881,x22885),f790(x22883,x22884,x22882,x22885))
% 163.96/163.67 [2289]~E(x22891,x22892)+E(f790(x22893,x22894,x22895,x22891),f790(x22893,x22894,x22895,x22892))
% 163.96/163.67 [2290]~E(x22901,x22902)+E(f595(x22901,x22903,x22904),f595(x22902,x22903,x22904))
% 163.96/163.67 [2291]~E(x22911,x22912)+E(f595(x22913,x22911,x22914),f595(x22913,x22912,x22914))
% 163.96/163.67 [2292]~E(x22921,x22922)+E(f595(x22923,x22924,x22921),f595(x22923,x22924,x22922))
% 163.96/163.67 [2293]~E(x22931,x22932)+E(f321(x22931),f321(x22932))
% 163.96/163.67 [2294]~E(x22941,x22942)+E(f820(x22941,x22943,x22944,x22945),f820(x22942,x22943,x22944,x22945))
% 163.96/163.67 [2295]~E(x22951,x22952)+E(f820(x22953,x22951,x22954,x22955),f820(x22953,x22952,x22954,x22955))
% 163.96/163.67 [2296]~E(x22961,x22962)+E(f820(x22963,x22964,x22961,x22965),f820(x22963,x22964,x22962,x22965))
% 163.96/163.67 [2297]~E(x22971,x22972)+E(f820(x22973,x22974,x22975,x22971),f820(x22973,x22974,x22975,x22972))
% 163.96/163.67 [2298]~E(x22981,x22982)+E(f883(x22981,x22983,x22984,x22985,x22986),f883(x22982,x22983,x22984,x22985,x22986))
% 163.96/163.67 [2299]~E(x22991,x22992)+E(f883(x22993,x22991,x22994,x22995,x22996),f883(x22993,x22992,x22994,x22995,x22996))
% 163.96/163.67 [2300]~E(x23001,x23002)+E(f883(x23003,x23004,x23001,x23005,x23006),f883(x23003,x23004,x23002,x23005,x23006))
% 163.96/163.67 [2301]~E(x23011,x23012)+E(f883(x23013,x23014,x23015,x23011,x23016),f883(x23013,x23014,x23015,x23012,x23016))
% 163.96/163.67 [2302]~E(x23021,x23022)+E(f883(x23023,x23024,x23025,x23026,x23021),f883(x23023,x23024,x23025,x23026,x23022))
% 163.96/163.67 [2303]~E(x23031,x23032)+E(f376(x23031,x23033,x23034),f376(x23032,x23033,x23034))
% 163.96/163.67 [2304]~E(x23041,x23042)+E(f376(x23043,x23041,x23044),f376(x23043,x23042,x23044))
% 163.96/163.67 [2305]~E(x23051,x23052)+E(f376(x23053,x23054,x23051),f376(x23053,x23054,x23052))
% 163.96/163.67 [2306]~E(x23061,x23062)+E(f698(x23061,x23063),f698(x23062,x23063))
% 163.96/163.67 [2307]~E(x23071,x23072)+E(f698(x23073,x23071),f698(x23073,x23072))
% 163.96/163.67 [2308]~E(x23081,x23082)+E(f455(x23081,x23083,x23084),f455(x23082,x23083,x23084))
% 163.96/163.67 [2309]~E(x23091,x23092)+E(f455(x23093,x23091,x23094),f455(x23093,x23092,x23094))
% 163.96/163.67 [2310]~E(x23101,x23102)+E(f455(x23103,x23104,x23101),f455(x23103,x23104,x23102))
% 163.96/163.67 [2311]~E(x23111,x23112)+E(f536(x23111,x23113,x23114,x23115,x23116,x23117),f536(x23112,x23113,x23114,x23115,x23116,x23117))
% 163.96/163.67 [2312]~E(x23121,x23122)+E(f536(x23123,x23121,x23124,x23125,x23126,x23127),f536(x23123,x23122,x23124,x23125,x23126,x23127))
% 163.96/163.67 [2313]~E(x23131,x23132)+E(f536(x23133,x23134,x23131,x23135,x23136,x23137),f536(x23133,x23134,x23132,x23135,x23136,x23137))
% 163.96/163.67 [2314]~E(x23141,x23142)+E(f536(x23143,x23144,x23145,x23141,x23146,x23147),f536(x23143,x23144,x23145,x23142,x23146,x23147))
% 163.96/163.67 [2315]~E(x23151,x23152)+E(f536(x23153,x23154,x23155,x23156,x23151,x23157),f536(x23153,x23154,x23155,x23156,x23152,x23157))
% 163.96/163.67 [2316]~E(x23161,x23162)+E(f536(x23163,x23164,x23165,x23166,x23167,x23161),f536(x23163,x23164,x23165,x23166,x23167,x23162))
% 163.96/163.67 [2317]~E(x23171,x23172)+E(f654(x23171,x23173,x23174,x23175),f654(x23172,x23173,x23174,x23175))
% 163.96/163.67 [2318]~E(x23181,x23182)+E(f654(x23183,x23181,x23184,x23185),f654(x23183,x23182,x23184,x23185))
% 163.96/163.67 [2319]~E(x23191,x23192)+E(f654(x23193,x23194,x23191,x23195),f654(x23193,x23194,x23192,x23195))
% 163.96/163.67 [2320]~E(x23201,x23202)+E(f654(x23203,x23204,x23205,x23201),f654(x23203,x23204,x23205,x23202))
% 163.96/163.67 [2321]~E(x23211,x23212)+E(f449(x23211,x23213,x23214),f449(x23212,x23213,x23214))
% 163.96/163.67 [2322]~E(x23221,x23222)+E(f449(x23223,x23221,x23224),f449(x23223,x23222,x23224))
% 163.96/163.67 [2323]~E(x23231,x23232)+E(f449(x23233,x23234,x23231),f449(x23233,x23234,x23232))
% 163.96/163.67 [2324]~E(x23241,x23242)+E(f468(x23241,x23243,x23244),f468(x23242,x23243,x23244))
% 163.96/163.67 [2325]~E(x23251,x23252)+E(f468(x23253,x23251,x23254),f468(x23253,x23252,x23254))
% 163.96/163.67 [2326]~E(x23261,x23262)+E(f468(x23263,x23264,x23261),f468(x23263,x23264,x23262))
% 163.96/163.67 [2327]~E(x23271,x23272)+E(f461(x23271,x23273,x23274,x23275,x23276),f461(x23272,x23273,x23274,x23275,x23276))
% 163.96/163.67 [2328]~E(x23281,x23282)+E(f461(x23283,x23281,x23284,x23285,x23286),f461(x23283,x23282,x23284,x23285,x23286))
% 163.96/163.67 [2329]~E(x23291,x23292)+E(f461(x23293,x23294,x23291,x23295,x23296),f461(x23293,x23294,x23292,x23295,x23296))
% 163.96/163.67 [2330]~E(x23301,x23302)+E(f461(x23303,x23304,x23305,x23301,x23306),f461(x23303,x23304,x23305,x23302,x23306))
% 163.96/163.67 [2331]~E(x23311,x23312)+E(f461(x23313,x23314,x23315,x23316,x23311),f461(x23313,x23314,x23315,x23316,x23312))
% 163.96/163.67 [2332]~E(x23321,x23322)+E(f464(x23321,x23323,x23324,x23325,x23326),f464(x23322,x23323,x23324,x23325,x23326))
% 163.96/163.67 [2333]~E(x23331,x23332)+E(f464(x23333,x23331,x23334,x23335,x23336),f464(x23333,x23332,x23334,x23335,x23336))
% 163.96/163.67 [2334]~E(x23341,x23342)+E(f464(x23343,x23344,x23341,x23345,x23346),f464(x23343,x23344,x23342,x23345,x23346))
% 163.96/163.67 [2335]~E(x23351,x23352)+E(f464(x23353,x23354,x23355,x23351,x23356),f464(x23353,x23354,x23355,x23352,x23356))
% 163.96/163.67 [2336]~E(x23361,x23362)+E(f464(x23363,x23364,x23365,x23366,x23361),f464(x23363,x23364,x23365,x23366,x23362))
% 163.96/163.67 [2337]~E(x23371,x23372)+E(f757(x23371,x23373,x23374),f757(x23372,x23373,x23374))
% 163.96/163.67 [2338]~E(x23381,x23382)+E(f757(x23383,x23381,x23384),f757(x23383,x23382,x23384))
% 163.96/163.67 [2339]~E(x23391,x23392)+E(f757(x23393,x23394,x23391),f757(x23393,x23394,x23392))
% 163.96/163.67 [2340]~E(x23401,x23402)+E(f582(x23401,x23403,x23404,x23405,x23406,x23407),f582(x23402,x23403,x23404,x23405,x23406,x23407))
% 163.96/163.67 [2341]~E(x23411,x23412)+E(f582(x23413,x23411,x23414,x23415,x23416,x23417),f582(x23413,x23412,x23414,x23415,x23416,x23417))
% 163.96/163.67 [2342]~E(x23421,x23422)+E(f582(x23423,x23424,x23421,x23425,x23426,x23427),f582(x23423,x23424,x23422,x23425,x23426,x23427))
% 163.96/163.67 [2343]~E(x23431,x23432)+E(f582(x23433,x23434,x23435,x23431,x23436,x23437),f582(x23433,x23434,x23435,x23432,x23436,x23437))
% 163.96/163.67 [2344]~E(x23441,x23442)+E(f582(x23443,x23444,x23445,x23446,x23441,x23447),f582(x23443,x23444,x23445,x23446,x23442,x23447))
% 163.96/163.67 [2345]~E(x23451,x23452)+E(f582(x23453,x23454,x23455,x23456,x23457,x23451),f582(x23453,x23454,x23455,x23456,x23457,x23452))
% 163.96/163.67 [2346]~E(x23461,x23462)+E(f268(x23461,x23463,x23464,x23465),f268(x23462,x23463,x23464,x23465))
% 163.96/163.67 [2347]~E(x23471,x23472)+E(f268(x23473,x23471,x23474,x23475),f268(x23473,x23472,x23474,x23475))
% 163.96/163.67 [2348]~E(x23481,x23482)+E(f268(x23483,x23484,x23481,x23485),f268(x23483,x23484,x23482,x23485))
% 163.96/163.67 [2349]~E(x23491,x23492)+E(f268(x23493,x23494,x23495,x23491),f268(x23493,x23494,x23495,x23492))
% 163.96/163.67 [2350]~E(x23501,x23502)+E(f731(x23501,x23503),f731(x23502,x23503))
% 163.96/163.67 [2351]~E(x23511,x23512)+E(f731(x23513,x23511),f731(x23513,x23512))
% 163.96/163.67 [2352]~E(x23521,x23522)+E(f848(x23521,x23523,x23524,x23525),f848(x23522,x23523,x23524,x23525))
% 163.96/163.67 [2353]~E(x23531,x23532)+E(f848(x23533,x23531,x23534,x23535),f848(x23533,x23532,x23534,x23535))
% 163.96/163.67 [2354]~E(x23541,x23542)+E(f848(x23543,x23544,x23541,x23545),f848(x23543,x23544,x23542,x23545))
% 163.96/163.67 [2355]~E(x23551,x23552)+E(f848(x23553,x23554,x23555,x23551),f848(x23553,x23554,x23555,x23552))
% 163.96/163.67 [2356]~E(x23561,x23562)+E(f410(x23561,x23563),f410(x23562,x23563))
% 163.96/163.67 [2357]~E(x23571,x23572)+E(f410(x23573,x23571),f410(x23573,x23572))
% 163.96/163.67 [2358]~E(x23581,x23582)+E(f748(x23581,x23583,x23584),f748(x23582,x23583,x23584))
% 163.96/163.67 [2359]~E(x23591,x23592)+E(f748(x23593,x23591,x23594),f748(x23593,x23592,x23594))
% 163.96/163.67 [2360]~E(x23601,x23602)+E(f748(x23603,x23604,x23601),f748(x23603,x23604,x23602))
% 163.96/163.67 [2361]~E(x23611,x23612)+E(f803(x23611,x23613),f803(x23612,x23613))
% 163.96/163.67 [2362]~E(x23621,x23622)+E(f803(x23623,x23621),f803(x23623,x23622))
% 163.96/163.67 [2363]~E(x23631,x23632)+E(f809(x23631,x23633),f809(x23632,x23633))
% 163.96/163.67 [2364]~E(x23641,x23642)+E(f809(x23643,x23641),f809(x23643,x23642))
% 163.96/163.67 [2365]~E(x23651,x23652)+E(f563(x23651,x23653),f563(x23652,x23653))
% 163.96/163.67 [2366]~E(x23661,x23662)+E(f563(x23663,x23661),f563(x23663,x23662))
% 163.96/163.67 [2367]~E(x23671,x23672)+E(f651(x23671,x23673,x23674),f651(x23672,x23673,x23674))
% 163.96/163.67 [2368]~E(x23681,x23682)+E(f651(x23683,x23681,x23684),f651(x23683,x23682,x23684))
% 163.96/163.67 [2369]~E(x23691,x23692)+E(f651(x23693,x23694,x23691),f651(x23693,x23694,x23692))
% 163.96/163.67 [2370]~E(x23701,x23702)+E(f193(x23701,x23703,x23704),f193(x23702,x23703,x23704))
% 163.96/163.67 [2371]~E(x23711,x23712)+E(f193(x23713,x23711,x23714),f193(x23713,x23712,x23714))
% 163.96/163.67 [2372]~E(x23721,x23722)+E(f193(x23723,x23724,x23721),f193(x23723,x23724,x23722))
% 163.96/163.67 [2373]~E(x23731,x23732)+E(f583(x23731,x23733,x23734,x23735,x23736,x23737),f583(x23732,x23733,x23734,x23735,x23736,x23737))
% 163.96/163.67 [2374]~E(x23741,x23742)+E(f583(x23743,x23741,x23744,x23745,x23746,x23747),f583(x23743,x23742,x23744,x23745,x23746,x23747))
% 163.96/163.67 [2375]~E(x23751,x23752)+E(f583(x23753,x23754,x23751,x23755,x23756,x23757),f583(x23753,x23754,x23752,x23755,x23756,x23757))
% 163.96/163.67 [2376]~E(x23761,x23762)+E(f583(x23763,x23764,x23765,x23761,x23766,x23767),f583(x23763,x23764,x23765,x23762,x23766,x23767))
% 163.96/163.67 [2377]~E(x23771,x23772)+E(f583(x23773,x23774,x23775,x23776,x23771,x23777),f583(x23773,x23774,x23775,x23776,x23772,x23777))
% 163.96/163.67 [2378]~E(x23781,x23782)+E(f583(x23783,x23784,x23785,x23786,x23787,x23781),f583(x23783,x23784,x23785,x23786,x23787,x23782))
% 163.96/163.67 [2379]~E(x23791,x23792)+E(f755(x23791,x23793,x23794),f755(x23792,x23793,x23794))
% 163.96/163.67 [2380]~E(x23801,x23802)+E(f755(x23803,x23801,x23804),f755(x23803,x23802,x23804))
% 163.96/163.67 [2381]~E(x23811,x23812)+E(f755(x23813,x23814,x23811),f755(x23813,x23814,x23812))
% 163.96/163.67 [2382]~E(x23821,x23822)+E(f685(x23821,x23823,x23824),f685(x23822,x23823,x23824))
% 163.96/163.67 [2383]~E(x23831,x23832)+E(f685(x23833,x23831,x23834),f685(x23833,x23832,x23834))
% 163.96/163.67 [2384]~E(x23841,x23842)+E(f685(x23843,x23844,x23841),f685(x23843,x23844,x23842))
% 163.96/163.67 [2385]~E(x23851,x23852)+E(f35(x23851),f35(x23852))
% 163.96/163.67 [2386]~E(x23861,x23862)+E(f818(x23861,x23863),f818(x23862,x23863))
% 163.96/163.67 [2387]~E(x23871,x23872)+E(f818(x23873,x23871),f818(x23873,x23872))
% 163.96/163.67 [2388]~E(x23881,x23882)+E(f478(x23881,x23883),f478(x23882,x23883))
% 163.96/163.67 [2389]~E(x23891,x23892)+E(f478(x23893,x23891),f478(x23893,x23892))
% 163.96/163.67 [2390]~E(x23901,x23902)+E(f287(x23901,x23903,x23904),f287(x23902,x23903,x23904))
% 163.96/163.67 [2391]~E(x23911,x23912)+E(f287(x23913,x23911,x23914),f287(x23913,x23912,x23914))
% 163.96/163.67 [2392]~E(x23921,x23922)+E(f287(x23923,x23924,x23921),f287(x23923,x23924,x23922))
% 163.96/163.67 [2393]~E(x23931,x23932)+E(f804(x23931,x23933,x23934,x23935,x23936),f804(x23932,x23933,x23934,x23935,x23936))
% 163.96/163.67 [2394]~E(x23941,x23942)+E(f804(x23943,x23941,x23944,x23945,x23946),f804(x23943,x23942,x23944,x23945,x23946))
% 163.96/163.67 [2395]~E(x23951,x23952)+E(f804(x23953,x23954,x23951,x23955,x23956),f804(x23953,x23954,x23952,x23955,x23956))
% 163.96/163.67 [2396]~E(x23961,x23962)+E(f804(x23963,x23964,x23965,x23961,x23966),f804(x23963,x23964,x23965,x23962,x23966))
% 163.96/163.67 [2397]~E(x23971,x23972)+E(f804(x23973,x23974,x23975,x23976,x23971),f804(x23973,x23974,x23975,x23976,x23972))
% 163.96/163.67 [2398]~E(x23981,x23982)+E(f341(x23981,x23983,x23984,x23985),f341(x23982,x23983,x23984,x23985))
% 163.96/163.67 [2399]~E(x23991,x23992)+E(f341(x23993,x23991,x23994,x23995),f341(x23993,x23992,x23994,x23995))
% 163.96/163.67 [2400]~E(x24001,x24002)+E(f341(x24003,x24004,x24001,x24005),f341(x24003,x24004,x24002,x24005))
% 163.96/163.67 [2401]~E(x24011,x24012)+E(f341(x24013,x24014,x24015,x24011),f341(x24013,x24014,x24015,x24012))
% 163.96/163.67 [2402]~E(x24021,x24022)+E(f398(x24021,x24023,x24024,x24025,x24026),f398(x24022,x24023,x24024,x24025,x24026))
% 163.96/163.67 [2403]~E(x24031,x24032)+E(f398(x24033,x24031,x24034,x24035,x24036),f398(x24033,x24032,x24034,x24035,x24036))
% 163.96/163.67 [2404]~E(x24041,x24042)+E(f398(x24043,x24044,x24041,x24045,x24046),f398(x24043,x24044,x24042,x24045,x24046))
% 163.96/163.67 [2405]~E(x24051,x24052)+E(f398(x24053,x24054,x24055,x24051,x24056),f398(x24053,x24054,x24055,x24052,x24056))
% 163.96/163.67 [2406]~E(x24061,x24062)+E(f398(x24063,x24064,x24065,x24066,x24061),f398(x24063,x24064,x24065,x24066,x24062))
% 163.96/163.67 [2407]~E(x24071,x24072)+E(f260(x24071,x24073,x24074,x24075),f260(x24072,x24073,x24074,x24075))
% 163.96/163.67 [2408]~E(x24081,x24082)+E(f260(x24083,x24081,x24084,x24085),f260(x24083,x24082,x24084,x24085))
% 163.96/163.67 [2409]~E(x24091,x24092)+E(f260(x24093,x24094,x24091,x24095),f260(x24093,x24094,x24092,x24095))
% 163.96/163.67 [2410]~E(x24101,x24102)+E(f260(x24103,x24104,x24105,x24101),f260(x24103,x24104,x24105,x24102))
% 163.96/163.67 [2411]~E(x24111,x24112)+E(f591(x24111,x24113,x24114),f591(x24112,x24113,x24114))
% 163.96/163.67 [2412]~E(x24121,x24122)+E(f591(x24123,x24121,x24124),f591(x24123,x24122,x24124))
% 163.96/163.67 [2413]~E(x24131,x24132)+E(f591(x24133,x24134,x24131),f591(x24133,x24134,x24132))
% 163.96/163.67 [2414]~E(x24141,x24142)+E(f835(x24141,x24143,x24144,x24145,x24146,x24147,x24148),f835(x24142,x24143,x24144,x24145,x24146,x24147,x24148))
% 163.96/163.67 [2415]~E(x24151,x24152)+E(f835(x24153,x24151,x24154,x24155,x24156,x24157,x24158),f835(x24153,x24152,x24154,x24155,x24156,x24157,x24158))
% 163.96/163.67 [2416]~E(x24161,x24162)+E(f835(x24163,x24164,x24161,x24165,x24166,x24167,x24168),f835(x24163,x24164,x24162,x24165,x24166,x24167,x24168))
% 163.96/163.67 [2417]~E(x24171,x24172)+E(f835(x24173,x24174,x24175,x24171,x24176,x24177,x24178),f835(x24173,x24174,x24175,x24172,x24176,x24177,x24178))
% 163.96/163.67 [2418]~E(x24181,x24182)+E(f835(x24183,x24184,x24185,x24186,x24181,x24187,x24188),f835(x24183,x24184,x24185,x24186,x24182,x24187,x24188))
% 163.96/163.67 [2419]~E(x24191,x24192)+E(f835(x24193,x24194,x24195,x24196,x24197,x24191,x24198),f835(x24193,x24194,x24195,x24196,x24197,x24192,x24198))
% 163.96/163.67 [2420]~E(x24201,x24202)+E(f835(x24203,x24204,x24205,x24206,x24207,x24208,x24201),f835(x24203,x24204,x24205,x24206,x24207,x24208,x24202))
% 163.96/163.67 [2421]~E(x24211,x24212)+E(f480(x24211,x24213),f480(x24212,x24213))
% 163.96/163.67 [2422]~E(x24221,x24222)+E(f480(x24223,x24221),f480(x24223,x24222))
% 163.96/163.67 [2423]~E(x24231,x24232)+E(f262(x24231,x24233,x24234,x24235),f262(x24232,x24233,x24234,x24235))
% 163.96/163.67 [2424]~E(x24241,x24242)+E(f262(x24243,x24241,x24244,x24245),f262(x24243,x24242,x24244,x24245))
% 163.96/163.67 [2425]~E(x24251,x24252)+E(f262(x24253,x24254,x24251,x24255),f262(x24253,x24254,x24252,x24255))
% 163.96/163.67 [2426]~E(x24261,x24262)+E(f262(x24263,x24264,x24265,x24261),f262(x24263,x24264,x24265,x24262))
% 163.96/163.67 [2427]~E(x24271,x24272)+E(f402(x24271,x24273),f402(x24272,x24273))
% 163.96/163.67 [2428]~E(x24281,x24282)+E(f402(x24283,x24281),f402(x24283,x24282))
% 163.96/163.67 [2429]~E(x24291,x24292)+E(f797(x24291),f797(x24292))
% 163.96/163.67 [2430]~E(x24301,x24302)+E(f808(x24301),f808(x24302))
% 163.96/163.67 [2431]~E(x24311,x24312)+E(f787(x24311,x24313,x24314,x24315),f787(x24312,x24313,x24314,x24315))
% 163.96/163.67 [2432]~E(x24321,x24322)+E(f787(x24323,x24321,x24324,x24325),f787(x24323,x24322,x24324,x24325))
% 163.96/163.67 [2433]~E(x24331,x24332)+E(f787(x24333,x24334,x24331,x24335),f787(x24333,x24334,x24332,x24335))
% 163.96/163.67 [2434]~E(x24341,x24342)+E(f787(x24343,x24344,x24345,x24341),f787(x24343,x24344,x24345,x24342))
% 163.96/163.67 [2435]~E(x24351,x24352)+E(f518(x24351,x24353,x24354,x24355),f518(x24352,x24353,x24354,x24355))
% 163.96/163.67 [2436]~E(x24361,x24362)+E(f518(x24363,x24361,x24364,x24365),f518(x24363,x24362,x24364,x24365))
% 163.96/163.67 [2437]~E(x24371,x24372)+E(f518(x24373,x24374,x24371,x24375),f518(x24373,x24374,x24372,x24375))
% 163.96/163.67 [2438]~E(x24381,x24382)+E(f518(x24383,x24384,x24385,x24381),f518(x24383,x24384,x24385,x24382))
% 163.96/163.67 [2439]~E(x24391,x24392)+E(f718(x24391,x24393),f718(x24392,x24393))
% 163.96/163.67 [2440]~E(x24401,x24402)+E(f718(x24403,x24401),f718(x24403,x24402))
% 163.96/163.67 [2441]~E(x24411,x24412)+E(f386(x24411,x24413),f386(x24412,x24413))
% 163.96/163.67 [2442]~E(x24421,x24422)+E(f386(x24423,x24421),f386(x24423,x24422))
% 163.96/163.67 [2443]~E(x24431,x24432)+E(f515(x24431,x24433),f515(x24432,x24433))
% 163.96/163.67 [2444]~E(x24441,x24442)+E(f515(x24443,x24441),f515(x24443,x24442))
% 163.96/163.67 [2445]~E(x24451,x24452)+E(f600(x24451,x24453,x24454,x24455,x24456),f600(x24452,x24453,x24454,x24455,x24456))
% 163.96/163.67 [2446]~E(x24461,x24462)+E(f600(x24463,x24461,x24464,x24465,x24466),f600(x24463,x24462,x24464,x24465,x24466))
% 163.96/163.67 [2447]~E(x24471,x24472)+E(f600(x24473,x24474,x24471,x24475,x24476),f600(x24473,x24474,x24472,x24475,x24476))
% 163.96/163.67 [2448]~E(x24481,x24482)+E(f600(x24483,x24484,x24485,x24481,x24486),f600(x24483,x24484,x24485,x24482,x24486))
% 163.96/163.67 [2449]~E(x24491,x24492)+E(f600(x24493,x24494,x24495,x24496,x24491),f600(x24493,x24494,x24495,x24496,x24492))
% 163.96/163.67 [2450]~E(x24501,x24502)+E(f884(x24501,x24503,x24504,x24505,x24506),f884(x24502,x24503,x24504,x24505,x24506))
% 163.96/163.67 [2451]~E(x24511,x24512)+E(f884(x24513,x24511,x24514,x24515,x24516),f884(x24513,x24512,x24514,x24515,x24516))
% 163.96/163.67 [2452]~E(x24521,x24522)+E(f884(x24523,x24524,x24521,x24525,x24526),f884(x24523,x24524,x24522,x24525,x24526))
% 163.96/163.67 [2453]~E(x24531,x24532)+E(f884(x24533,x24534,x24535,x24531,x24536),f884(x24533,x24534,x24535,x24532,x24536))
% 163.96/163.67 [2454]~E(x24541,x24542)+E(f884(x24543,x24544,x24545,x24546,x24541),f884(x24543,x24544,x24545,x24546,x24542))
% 163.96/163.67 [2455]~E(x24551,x24552)+E(f505(x24551,x24553,x24554,x24555),f505(x24552,x24553,x24554,x24555))
% 163.96/163.67 [2456]~E(x24561,x24562)+E(f505(x24563,x24561,x24564,x24565),f505(x24563,x24562,x24564,x24565))
% 163.96/163.67 [2457]~E(x24571,x24572)+E(f505(x24573,x24574,x24571,x24575),f505(x24573,x24574,x24572,x24575))
% 163.96/163.67 [2458]~E(x24581,x24582)+E(f505(x24583,x24584,x24585,x24581),f505(x24583,x24584,x24585,x24582))
% 163.96/163.67 [2459]~E(x24591,x24592)+E(f221(x24591,x24593,x24594,x24595),f221(x24592,x24593,x24594,x24595))
% 163.96/163.67 [2460]~E(x24601,x24602)+E(f221(x24603,x24601,x24604,x24605),f221(x24603,x24602,x24604,x24605))
% 163.96/163.67 [2461]~E(x24611,x24612)+E(f221(x24613,x24614,x24611,x24615),f221(x24613,x24614,x24612,x24615))
% 163.96/163.67 [2462]~E(x24621,x24622)+E(f221(x24623,x24624,x24625,x24621),f221(x24623,x24624,x24625,x24622))
% 163.96/163.67 [2463]~E(x24631,x24632)+E(f375(x24631,x24633,x24634,x24635),f375(x24632,x24633,x24634,x24635))
% 163.96/163.67 [2464]~E(x24641,x24642)+E(f375(x24643,x24641,x24644,x24645),f375(x24643,x24642,x24644,x24645))
% 163.96/163.67 [2465]~E(x24651,x24652)+E(f375(x24653,x24654,x24651,x24655),f375(x24653,x24654,x24652,x24655))
% 163.96/163.67 [2466]~E(x24661,x24662)+E(f375(x24663,x24664,x24665,x24661),f375(x24663,x24664,x24665,x24662))
% 163.96/163.67 [2467]~E(x24671,x24672)+E(f378(x24671,x24673,x24674),f378(x24672,x24673,x24674))
% 163.96/163.67 [2468]~E(x24681,x24682)+E(f378(x24683,x24681,x24684),f378(x24683,x24682,x24684))
% 163.96/163.67 [2469]~E(x24691,x24692)+E(f378(x24693,x24694,x24691),f378(x24693,x24694,x24692))
% 163.96/163.67 [2470]~E(x24701,x24702)+E(f216(x24701,x24703,x24704,x24705,x24706),f216(x24702,x24703,x24704,x24705,x24706))
% 163.96/163.67 [2471]~E(x24711,x24712)+E(f216(x24713,x24711,x24714,x24715,x24716),f216(x24713,x24712,x24714,x24715,x24716))
% 163.96/163.67 [2472]~E(x24721,x24722)+E(f216(x24723,x24724,x24721,x24725,x24726),f216(x24723,x24724,x24722,x24725,x24726))
% 163.96/163.67 [2473]~E(x24731,x24732)+E(f216(x24733,x24734,x24735,x24731,x24736),f216(x24733,x24734,x24735,x24732,x24736))
% 163.96/163.67 [2474]~E(x24741,x24742)+E(f216(x24743,x24744,x24745,x24746,x24741),f216(x24743,x24744,x24745,x24746,x24742))
% 163.96/163.67 [2475]~E(x24751,x24752)+E(f419(x24751),f419(x24752))
% 163.96/163.67 [2476]~E(x24761,x24762)+E(f198(x24761,x24763,x24764,x24765,x24766,x24767,x24768),f198(x24762,x24763,x24764,x24765,x24766,x24767,x24768))
% 163.96/163.67 [2477]~E(x24771,x24772)+E(f198(x24773,x24771,x24774,x24775,x24776,x24777,x24778),f198(x24773,x24772,x24774,x24775,x24776,x24777,x24778))
% 163.96/163.67 [2478]~E(x24781,x24782)+E(f198(x24783,x24784,x24781,x24785,x24786,x24787,x24788),f198(x24783,x24784,x24782,x24785,x24786,x24787,x24788))
% 163.96/163.67 [2479]~E(x24791,x24792)+E(f198(x24793,x24794,x24795,x24791,x24796,x24797,x24798),f198(x24793,x24794,x24795,x24792,x24796,x24797,x24798))
% 163.96/163.67 [2480]~E(x24801,x24802)+E(f198(x24803,x24804,x24805,x24806,x24801,x24807,x24808),f198(x24803,x24804,x24805,x24806,x24802,x24807,x24808))
% 163.96/163.67 [2481]~E(x24811,x24812)+E(f198(x24813,x24814,x24815,x24816,x24817,x24811,x24818),f198(x24813,x24814,x24815,x24816,x24817,x24812,x24818))
% 163.96/163.67 [2482]~E(x24821,x24822)+E(f198(x24823,x24824,x24825,x24826,x24827,x24828,x24821),f198(x24823,x24824,x24825,x24826,x24827,x24828,x24822))
% 163.96/163.67 [2483]~E(x24831,x24832)+E(f387(x24831,x24833,x24834),f387(x24832,x24833,x24834))
% 163.96/163.67 [2484]~E(x24841,x24842)+E(f387(x24843,x24841,x24844),f387(x24843,x24842,x24844))
% 163.96/163.67 [2485]~E(x24851,x24852)+E(f387(x24853,x24854,x24851),f387(x24853,x24854,x24852))
% 163.96/163.67 [2486]~E(x24861,x24862)+E(f648(x24861,x24863,x24864,x24865),f648(x24862,x24863,x24864,x24865))
% 163.96/163.67 [2487]~E(x24871,x24872)+E(f648(x24873,x24871,x24874,x24875),f648(x24873,x24872,x24874,x24875))
% 163.96/163.67 [2488]~E(x24881,x24882)+E(f648(x24883,x24884,x24881,x24885),f648(x24883,x24884,x24882,x24885))
% 163.96/163.67 [2489]~E(x24891,x24892)+E(f648(x24893,x24894,x24895,x24891),f648(x24893,x24894,x24895,x24892))
% 163.96/163.67 [2490]~E(x24901,x24902)+E(f426(x24901,x24903),f426(x24902,x24903))
% 163.96/163.67 [2491]~E(x24911,x24912)+E(f426(x24913,x24911),f426(x24913,x24912))
% 163.96/163.67 [2492]~E(x24921,x24922)+E(f870(x24921,x24923,x24924,x24925,x24926),f870(x24922,x24923,x24924,x24925,x24926))
% 163.96/163.67 [2493]~E(x24931,x24932)+E(f870(x24933,x24931,x24934,x24935,x24936),f870(x24933,x24932,x24934,x24935,x24936))
% 163.96/163.67 [2494]~E(x24941,x24942)+E(f870(x24943,x24944,x24941,x24945,x24946),f870(x24943,x24944,x24942,x24945,x24946))
% 163.96/163.67 [2495]~E(x24951,x24952)+E(f870(x24953,x24954,x24955,x24951,x24956),f870(x24953,x24954,x24955,x24952,x24956))
% 163.96/163.67 [2496]~E(x24961,x24962)+E(f870(x24963,x24964,x24965,x24966,x24961),f870(x24963,x24964,x24965,x24966,x24962))
% 163.96/163.67 [2497]~E(x24971,x24972)+E(f871(x24971,x24973,x24974,x24975,x24976),f871(x24972,x24973,x24974,x24975,x24976))
% 163.96/163.67 [2498]~E(x24981,x24982)+E(f871(x24983,x24981,x24984,x24985,x24986),f871(x24983,x24982,x24984,x24985,x24986))
% 163.96/163.67 [2499]~E(x24991,x24992)+E(f871(x24993,x24994,x24991,x24995,x24996),f871(x24993,x24994,x24992,x24995,x24996))
% 163.96/163.67 [2500]~E(x25001,x25002)+E(f871(x25003,x25004,x25005,x25001,x25006),f871(x25003,x25004,x25005,x25002,x25006))
% 163.96/163.67 [2501]~E(x25011,x25012)+E(f871(x25013,x25014,x25015,x25016,x25011),f871(x25013,x25014,x25015,x25016,x25012))
% 163.96/163.67 [2502]~E(x25021,x25022)+E(f521(x25021,x25023,x25024,x25025,x25026),f521(x25022,x25023,x25024,x25025,x25026))
% 163.96/163.67 [2503]~E(x25031,x25032)+E(f521(x25033,x25031,x25034,x25035,x25036),f521(x25033,x25032,x25034,x25035,x25036))
% 163.96/163.67 [2504]~E(x25041,x25042)+E(f521(x25043,x25044,x25041,x25045,x25046),f521(x25043,x25044,x25042,x25045,x25046))
% 163.96/163.67 [2505]~E(x25051,x25052)+E(f521(x25053,x25054,x25055,x25051,x25056),f521(x25053,x25054,x25055,x25052,x25056))
% 163.96/163.67 [2506]~E(x25061,x25062)+E(f521(x25063,x25064,x25065,x25066,x25061),f521(x25063,x25064,x25065,x25066,x25062))
% 163.96/163.67 [2507]~E(x25071,x25072)+E(f37(x25071),f37(x25072))
% 163.96/163.67 [2508]~E(x25081,x25082)+E(f371(x25081,x25083),f371(x25082,x25083))
% 163.96/163.67 [2509]~E(x25091,x25092)+E(f371(x25093,x25091),f371(x25093,x25092))
% 163.96/163.67 [2510]~E(x25101,x25102)+E(f254(x25101,x25103,x25104),f254(x25102,x25103,x25104))
% 163.96/163.67 [2511]~E(x25111,x25112)+E(f254(x25113,x25111,x25114),f254(x25113,x25112,x25114))
% 163.96/163.67 [2512]~E(x25121,x25122)+E(f254(x25123,x25124,x25121),f254(x25123,x25124,x25122))
% 163.96/163.67 [2513]~E(x25131,x25132)+E(f409(x25131,x25133),f409(x25132,x25133))
% 163.96/163.67 [2514]~E(x25141,x25142)+E(f409(x25143,x25141),f409(x25143,x25142))
% 163.96/163.67 [2515]~E(x25151,x25152)+E(f774(x25151,x25153,x25154),f774(x25152,x25153,x25154))
% 163.96/163.67 [2516]~E(x25161,x25162)+E(f774(x25163,x25161,x25164),f774(x25163,x25162,x25164))
% 163.96/163.67 [2517]~E(x25171,x25172)+E(f774(x25173,x25174,x25171),f774(x25173,x25174,x25172))
% 163.96/163.67 [2518]~E(x25181,x25182)+E(f707(x25181,x25183,x25184),f707(x25182,x25183,x25184))
% 163.96/163.67 [2519]~E(x25191,x25192)+E(f707(x25193,x25191,x25194),f707(x25193,x25192,x25194))
% 163.96/163.67 [2520]~E(x25201,x25202)+E(f707(x25203,x25204,x25201),f707(x25203,x25204,x25202))
% 163.96/163.67 [2521]~E(x25211,x25212)+E(f889(x25211,x25213,x25214),f889(x25212,x25213,x25214))
% 163.96/163.67 [2522]~E(x25221,x25222)+E(f889(x25223,x25221,x25224),f889(x25223,x25222,x25224))
% 163.96/163.67 [2523]~E(x25231,x25232)+E(f889(x25233,x25234,x25231),f889(x25233,x25234,x25232))
% 163.96/163.67 [2524]~E(x25241,x25242)+E(f741(x25241,x25243),f741(x25242,x25243))
% 163.96/163.67 [2525]~E(x25251,x25252)+E(f741(x25253,x25251),f741(x25253,x25252))
% 163.96/163.67 [2526]~E(x25261,x25262)+E(f545(x25261,x25263,x25264),f545(x25262,x25263,x25264))
% 163.96/163.67 [2527]~E(x25271,x25272)+E(f545(x25273,x25271,x25274),f545(x25273,x25272,x25274))
% 163.96/163.67 [2528]~E(x25281,x25282)+E(f545(x25283,x25284,x25281),f545(x25283,x25284,x25282))
% 163.96/163.67 [2529]~E(x25291,x25292)+E(f538(x25291,x25293,x25294,x25295,x25296),f538(x25292,x25293,x25294,x25295,x25296))
% 163.96/163.67 [2530]~E(x25301,x25302)+E(f538(x25303,x25301,x25304,x25305,x25306),f538(x25303,x25302,x25304,x25305,x25306))
% 163.96/163.67 [2531]~E(x25311,x25312)+E(f538(x25313,x25314,x25311,x25315,x25316),f538(x25313,x25314,x25312,x25315,x25316))
% 163.96/163.67 [2532]~E(x25321,x25322)+E(f538(x25323,x25324,x25325,x25321,x25326),f538(x25323,x25324,x25325,x25322,x25326))
% 163.96/163.67 [2533]~E(x25331,x25332)+E(f538(x25333,x25334,x25335,x25336,x25331),f538(x25333,x25334,x25335,x25336,x25332))
% 163.96/163.67 [2534]~E(x25341,x25342)+E(f195(x25341),f195(x25342))
% 163.96/163.67 [2535]~E(x25351,x25352)+E(f390(x25351,x25353,x25354,x25355,x25356),f390(x25352,x25353,x25354,x25355,x25356))
% 163.96/163.67 [2536]~E(x25361,x25362)+E(f390(x25363,x25361,x25364,x25365,x25366),f390(x25363,x25362,x25364,x25365,x25366))
% 163.96/163.67 [2537]~E(x25371,x25372)+E(f390(x25373,x25374,x25371,x25375,x25376),f390(x25373,x25374,x25372,x25375,x25376))
% 163.96/163.67 [2538]~E(x25381,x25382)+E(f390(x25383,x25384,x25385,x25381,x25386),f390(x25383,x25384,x25385,x25382,x25386))
% 163.96/163.67 [2539]~E(x25391,x25392)+E(f390(x25393,x25394,x25395,x25396,x25391),f390(x25393,x25394,x25395,x25396,x25392))
% 163.96/163.67 [2540]~E(x25401,x25402)+E(f337(x25401,x25403,x25404),f337(x25402,x25403,x25404))
% 163.96/163.67 [2541]~E(x25411,x25412)+E(f337(x25413,x25411,x25414),f337(x25413,x25412,x25414))
% 163.96/163.67 [2542]~E(x25421,x25422)+E(f337(x25423,x25424,x25421),f337(x25423,x25424,x25422))
% 163.96/163.67 [2543]~E(x25431,x25432)+E(f519(x25431,x25433,x25434,x25435),f519(x25432,x25433,x25434,x25435))
% 163.96/163.67 [2544]~E(x25441,x25442)+E(f519(x25443,x25441,x25444,x25445),f519(x25443,x25442,x25444,x25445))
% 163.96/163.67 [2545]~E(x25451,x25452)+E(f519(x25453,x25454,x25451,x25455),f519(x25453,x25454,x25452,x25455))
% 163.96/163.67 [2546]~E(x25461,x25462)+E(f519(x25463,x25464,x25465,x25461),f519(x25463,x25464,x25465,x25462))
% 163.96/163.67 [2547]~E(x25471,x25472)+E(f607(x25471,x25473,x25474,x25475,x25476),f607(x25472,x25473,x25474,x25475,x25476))
% 163.96/163.67 [2548]~E(x25481,x25482)+E(f607(x25483,x25481,x25484,x25485,x25486),f607(x25483,x25482,x25484,x25485,x25486))
% 163.96/163.67 [2549]~E(x25491,x25492)+E(f607(x25493,x25494,x25491,x25495,x25496),f607(x25493,x25494,x25492,x25495,x25496))
% 163.96/163.67 [2550]~E(x25501,x25502)+E(f607(x25503,x25504,x25505,x25501,x25506),f607(x25503,x25504,x25505,x25502,x25506))
% 163.96/163.67 [2551]~E(x25511,x25512)+E(f607(x25513,x25514,x25515,x25516,x25511),f607(x25513,x25514,x25515,x25516,x25512))
% 163.96/163.67 [2552]~E(x25521,x25522)+E(f716(x25521,x25523,x25524,x25525),f716(x25522,x25523,x25524,x25525))
% 163.96/163.67 [2553]~E(x25531,x25532)+E(f716(x25533,x25531,x25534,x25535),f716(x25533,x25532,x25534,x25535))
% 163.96/163.67 [2554]~E(x25541,x25542)+E(f716(x25543,x25544,x25541,x25545),f716(x25543,x25544,x25542,x25545))
% 163.96/163.67 [2555]~E(x25551,x25552)+E(f716(x25553,x25554,x25555,x25551),f716(x25553,x25554,x25555,x25552))
% 163.96/163.67 [2556]~E(x25561,x25562)+E(f817(x25561,x25563),f817(x25562,x25563))
% 163.96/163.67 [2557]~E(x25571,x25572)+E(f817(x25573,x25571),f817(x25573,x25572))
% 163.96/163.67 [2558]~E(x25581,x25582)+E(f197(x25581,x25583,x25584,x25585),f197(x25582,x25583,x25584,x25585))
% 163.96/163.67 [2559]~E(x25591,x25592)+E(f197(x25593,x25591,x25594,x25595),f197(x25593,x25592,x25594,x25595))
% 163.96/163.67 [2560]~E(x25601,x25602)+E(f197(x25603,x25604,x25601,x25605),f197(x25603,x25604,x25602,x25605))
% 163.96/163.67 [2561]~E(x25611,x25612)+E(f197(x25613,x25614,x25615,x25611),f197(x25613,x25614,x25615,x25612))
% 163.96/163.67 [2562]~E(x25621,x25622)+E(f737(x25621,x25623,x25624,x25625,x25626),f737(x25622,x25623,x25624,x25625,x25626))
% 163.96/163.67 [2563]~E(x25631,x25632)+E(f737(x25633,x25631,x25634,x25635,x25636),f737(x25633,x25632,x25634,x25635,x25636))
% 163.96/163.67 [2564]~E(x25641,x25642)+E(f737(x25643,x25644,x25641,x25645,x25646),f737(x25643,x25644,x25642,x25645,x25646))
% 163.96/163.67 [2565]~E(x25651,x25652)+E(f737(x25653,x25654,x25655,x25651,x25656),f737(x25653,x25654,x25655,x25652,x25656))
% 163.96/163.67 [2566]~E(x25661,x25662)+E(f737(x25663,x25664,x25665,x25666,x25661),f737(x25663,x25664,x25665,x25666,x25662))
% 163.96/163.67 [2567]~E(x25671,x25672)+E(f875(x25671,x25673,x25674,x25675),f875(x25672,x25673,x25674,x25675))
% 163.96/163.67 [2568]~E(x25681,x25682)+E(f875(x25683,x25681,x25684,x25685),f875(x25683,x25682,x25684,x25685))
% 163.96/163.67 [2569]~E(x25691,x25692)+E(f875(x25693,x25694,x25691,x25695),f875(x25693,x25694,x25692,x25695))
% 163.96/163.67 [2570]~E(x25701,x25702)+E(f875(x25703,x25704,x25705,x25701),f875(x25703,x25704,x25705,x25702))
% 163.96/163.67 [2571]~E(x25711,x25712)+E(f113(x25711),f113(x25712))
% 163.96/163.67 [2572]~E(x25721,x25722)+E(f463(x25721,x25723,x25724),f463(x25722,x25723,x25724))
% 163.96/163.67 [2573]~E(x25731,x25732)+E(f463(x25733,x25731,x25734),f463(x25733,x25732,x25734))
% 163.96/163.67 [2574]~E(x25741,x25742)+E(f463(x25743,x25744,x25741),f463(x25743,x25744,x25742))
% 163.96/163.67 [2575]~E(x25751,x25752)+E(f856(x25751,x25753,x25754),f856(x25752,x25753,x25754))
% 163.96/163.67 [2576]~E(x25761,x25762)+E(f856(x25763,x25761,x25764),f856(x25763,x25762,x25764))
% 163.96/163.67 [2577]~E(x25771,x25772)+E(f856(x25773,x25774,x25771),f856(x25773,x25774,x25772))
% 163.96/163.67 [2578]~E(x25781,x25782)+E(f885(x25781,x25783),f885(x25782,x25783))
% 163.96/163.67 [2579]~E(x25791,x25792)+E(f885(x25793,x25791),f885(x25793,x25792))
% 163.96/163.67 [2580]~E(x25801,x25802)+E(f507(x25801,x25803,x25804,x25805),f507(x25802,x25803,x25804,x25805))
% 163.96/163.67 [2581]~E(x25811,x25812)+E(f507(x25813,x25811,x25814,x25815),f507(x25813,x25812,x25814,x25815))
% 163.96/163.67 [2582]~E(x25821,x25822)+E(f507(x25823,x25824,x25821,x25825),f507(x25823,x25824,x25822,x25825))
% 163.96/163.67 [2583]~E(x25831,x25832)+E(f507(x25833,x25834,x25835,x25831),f507(x25833,x25834,x25835,x25832))
% 163.96/163.67 [2584]~E(x25841,x25842)+E(f773(x25841),f773(x25842))
% 163.96/163.67 [2585]~E(x25851,x25852)+E(f710(x25851,x25853,x25854),f710(x25852,x25853,x25854))
% 163.96/163.67 [2586]~E(x25861,x25862)+E(f710(x25863,x25861,x25864),f710(x25863,x25862,x25864))
% 163.96/163.67 [2587]~E(x25871,x25872)+E(f710(x25873,x25874,x25871),f710(x25873,x25874,x25872))
% 163.96/163.67 [2588]~E(x25881,x25882)+E(f414(x25881),f414(x25882))
% 163.96/163.67 [2589]~E(x25891,x25892)+E(f501(x25891,x25893,x25894,x25895),f501(x25892,x25893,x25894,x25895))
% 163.96/163.67 [2590]~E(x25901,x25902)+E(f501(x25903,x25901,x25904,x25905),f501(x25903,x25902,x25904,x25905))
% 163.96/163.67 [2591]~E(x25911,x25912)+E(f501(x25913,x25914,x25911,x25915),f501(x25913,x25914,x25912,x25915))
% 163.96/163.67 [2592]~E(x25921,x25922)+E(f501(x25923,x25924,x25925,x25921),f501(x25923,x25924,x25925,x25922))
% 163.96/163.67 [2593]~E(x25931,x25932)+E(f440(x25931,x25933,x25934),f440(x25932,x25933,x25934))
% 163.96/163.67 [2594]~E(x25941,x25942)+E(f440(x25943,x25941,x25944),f440(x25943,x25942,x25944))
% 163.96/163.67 [2595]~E(x25951,x25952)+E(f440(x25953,x25954,x25951),f440(x25953,x25954,x25952))
% 163.96/163.67 [2596]~E(x25961,x25962)+E(f681(x25961,x25963,x25964,x25965,x25966),f681(x25962,x25963,x25964,x25965,x25966))
% 163.96/163.67 [2597]~E(x25971,x25972)+E(f681(x25973,x25971,x25974,x25975,x25976),f681(x25973,x25972,x25974,x25975,x25976))
% 163.96/163.67 [2598]~E(x25981,x25982)+E(f681(x25983,x25984,x25981,x25985,x25986),f681(x25983,x25984,x25982,x25985,x25986))
% 163.96/163.67 [2599]~E(x25991,x25992)+E(f681(x25993,x25994,x25995,x25991,x25996),f681(x25993,x25994,x25995,x25992,x25996))
% 163.96/163.67 [2600]~E(x26001,x26002)+E(f681(x26003,x26004,x26005,x26006,x26001),f681(x26003,x26004,x26005,x26006,x26002))
% 163.96/163.67 [2601]~E(x26011,x26012)+E(f397(x26011,x26013,x26014),f397(x26012,x26013,x26014))
% 163.96/163.67 [2602]~E(x26021,x26022)+E(f397(x26023,x26021,x26024),f397(x26023,x26022,x26024))
% 163.96/163.67 [2603]~E(x26031,x26032)+E(f397(x26033,x26034,x26031),f397(x26033,x26034,x26032))
% 163.96/163.67 [2604]~E(x26041,x26042)+E(f499(x26041,x26043,x26044,x26045),f499(x26042,x26043,x26044,x26045))
% 163.96/163.67 [2605]~E(x26051,x26052)+E(f499(x26053,x26051,x26054,x26055),f499(x26053,x26052,x26054,x26055))
% 163.96/163.67 [2606]~E(x26061,x26062)+E(f499(x26063,x26064,x26061,x26065),f499(x26063,x26064,x26062,x26065))
% 163.96/163.67 [2607]~E(x26071,x26072)+E(f499(x26073,x26074,x26075,x26071),f499(x26073,x26074,x26075,x26072))
% 163.96/163.67 [2608]~E(x26081,x26082)+E(f373(x26081,x26083,x26084),f373(x26082,x26083,x26084))
% 163.96/163.67 [2609]~E(x26091,x26092)+E(f373(x26093,x26091,x26094),f373(x26093,x26092,x26094))
% 163.96/163.67 [2610]~E(x26101,x26102)+E(f373(x26103,x26104,x26101),f373(x26103,x26104,x26102))
% 163.96/163.67 [2611]~E(x26111,x26112)+E(f486(x26111,x26113,x26114,x26115),f486(x26112,x26113,x26114,x26115))
% 163.96/163.67 [2612]~E(x26121,x26122)+E(f486(x26123,x26121,x26124,x26125),f486(x26123,x26122,x26124,x26125))
% 163.96/163.67 [2613]~E(x26131,x26132)+E(f486(x26133,x26134,x26131,x26135),f486(x26133,x26134,x26132,x26135))
% 163.96/163.67 [2614]~E(x26141,x26142)+E(f486(x26143,x26144,x26145,x26141),f486(x26143,x26144,x26145,x26142))
% 163.96/163.67 [2615]~E(x26151,x26152)+E(f539(x26151,x26153,x26154,x26155,x26156),f539(x26152,x26153,x26154,x26155,x26156))
% 163.96/163.67 [2616]~E(x26161,x26162)+E(f539(x26163,x26161,x26164,x26165,x26166),f539(x26163,x26162,x26164,x26165,x26166))
% 163.96/163.67 [2617]~E(x26171,x26172)+E(f539(x26173,x26174,x26171,x26175,x26176),f539(x26173,x26174,x26172,x26175,x26176))
% 163.96/163.67 [2618]~E(x26181,x26182)+E(f539(x26183,x26184,x26185,x26181,x26186),f539(x26183,x26184,x26185,x26182,x26186))
% 163.96/163.67 [2619]~E(x26191,x26192)+E(f539(x26193,x26194,x26195,x26196,x26191),f539(x26193,x26194,x26195,x26196,x26192))
% 163.96/163.67 [2620]~E(x26201,x26202)+E(f838(x26201,x26203,x26204,x26205,x26206,x26207,x26208,x26209),f838(x26202,x26203,x26204,x26205,x26206,x26207,x26208,x26209))
% 163.96/163.67 [2621]~E(x26211,x26212)+E(f838(x26213,x26211,x26214,x26215,x26216,x26217,x26218,x26219),f838(x26213,x26212,x26214,x26215,x26216,x26217,x26218,x26219))
% 163.96/163.67 [2622]~E(x26221,x26222)+E(f838(x26223,x26224,x26221,x26225,x26226,x26227,x26228,x26229),f838(x26223,x26224,x26222,x26225,x26226,x26227,x26228,x26229))
% 163.96/163.67 [2623]~E(x26231,x26232)+E(f838(x26233,x26234,x26235,x26231,x26236,x26237,x26238,x26239),f838(x26233,x26234,x26235,x26232,x26236,x26237,x26238,x26239))
% 163.96/163.67 [2624]~E(x26241,x26242)+E(f838(x26243,x26244,x26245,x26246,x26241,x26247,x26248,x26249),f838(x26243,x26244,x26245,x26246,x26242,x26247,x26248,x26249))
% 163.96/163.67 [2625]~E(x26251,x26252)+E(f838(x26253,x26254,x26255,x26256,x26257,x26251,x26258,x26259),f838(x26253,x26254,x26255,x26256,x26257,x26252,x26258,x26259))
% 163.96/163.67 [2626]~E(x26261,x26262)+E(f838(x26263,x26264,x26265,x26266,x26267,x26268,x26261,x26269),f838(x26263,x26264,x26265,x26266,x26267,x26268,x26262,x26269))
% 163.96/163.67 [2627]~E(x26271,x26272)+E(f838(x26273,x26274,x26275,x26276,x26277,x26278,x26279,x26271),f838(x26273,x26274,x26275,x26276,x26277,x26278,x26279,x26272))
% 163.96/163.67 [2628]~E(x26281,x26282)+E(f227(x26281,x26283),f227(x26282,x26283))
% 163.96/163.67 [2629]~E(x26291,x26292)+E(f227(x26293,x26291),f227(x26293,x26292))
% 163.96/163.67 [2630]~E(x26301,x26302)+E(f680(x26301,x26303,x26304,x26305),f680(x26302,x26303,x26304,x26305))
% 163.96/163.67 [2631]~E(x26311,x26312)+E(f680(x26313,x26311,x26314,x26315),f680(x26313,x26312,x26314,x26315))
% 163.96/163.67 [2632]~E(x26321,x26322)+E(f680(x26323,x26324,x26321,x26325),f680(x26323,x26324,x26322,x26325))
% 163.96/163.67 [2633]~E(x26331,x26332)+E(f680(x26333,x26334,x26335,x26331),f680(x26333,x26334,x26335,x26332))
% 163.96/163.67 [2634]~E(x26341,x26342)+E(f589(x26341,x26343,x26344),f589(x26342,x26343,x26344))
% 163.96/163.67 [2635]~E(x26351,x26352)+E(f589(x26353,x26351,x26354),f589(x26353,x26352,x26354))
% 163.96/163.67 [2636]~E(x26361,x26362)+E(f589(x26363,x26364,x26361),f589(x26363,x26364,x26362))
% 163.96/163.67 [2637]~E(x26371,x26372)+E(f526(x26371,x26373,x26374,x26375,x26376,x26377,x26378,x26379),f526(x26372,x26373,x26374,x26375,x26376,x26377,x26378,x26379))
% 163.96/163.67 [2638]~E(x26381,x26382)+E(f526(x26383,x26381,x26384,x26385,x26386,x26387,x26388,x26389),f526(x26383,x26382,x26384,x26385,x26386,x26387,x26388,x26389))
% 163.96/163.67 [2639]~E(x26391,x26392)+E(f526(x26393,x26394,x26391,x26395,x26396,x26397,x26398,x26399),f526(x26393,x26394,x26392,x26395,x26396,x26397,x26398,x26399))
% 163.96/163.67 [2640]~E(x26401,x26402)+E(f526(x26403,x26404,x26405,x26401,x26406,x26407,x26408,x26409),f526(x26403,x26404,x26405,x26402,x26406,x26407,x26408,x26409))
% 163.96/163.67 [2641]~E(x26411,x26412)+E(f526(x26413,x26414,x26415,x26416,x26411,x26417,x26418,x26419),f526(x26413,x26414,x26415,x26416,x26412,x26417,x26418,x26419))
% 163.96/163.67 [2642]~E(x26421,x26422)+E(f526(x26423,x26424,x26425,x26426,x26427,x26421,x26428,x26429),f526(x26423,x26424,x26425,x26426,x26427,x26422,x26428,x26429))
% 163.96/163.67 [2643]~E(x26431,x26432)+E(f526(x26433,x26434,x26435,x26436,x26437,x26438,x26431,x26439),f526(x26433,x26434,x26435,x26436,x26437,x26438,x26432,x26439))
% 163.96/163.67 [2644]~E(x26441,x26442)+E(f526(x26443,x26444,x26445,x26446,x26447,x26448,x26449,x26441),f526(x26443,x26444,x26445,x26446,x26447,x26448,x26449,x26442))
% 163.96/163.67 [2645]~E(x26451,x26452)+E(f742(x26451,x26453,x26454),f742(x26452,x26453,x26454))
% 163.96/163.67 [2646]~E(x26461,x26462)+E(f742(x26463,x26461,x26464),f742(x26463,x26462,x26464))
% 163.96/163.67 [2647]~E(x26471,x26472)+E(f742(x26473,x26474,x26471),f742(x26473,x26474,x26472))
% 163.96/163.67 [2648]~E(x26481,x26482)+E(f249(x26481,x26483,x26484,x26485,x26486),f249(x26482,x26483,x26484,x26485,x26486))
% 163.96/163.67 [2649]~E(x26491,x26492)+E(f249(x26493,x26491,x26494,x26495,x26496),f249(x26493,x26492,x26494,x26495,x26496))
% 163.96/163.67 [2650]~E(x26501,x26502)+E(f249(x26503,x26504,x26501,x26505,x26506),f249(x26503,x26504,x26502,x26505,x26506))
% 163.96/163.67 [2651]~E(x26511,x26512)+E(f249(x26513,x26514,x26515,x26511,x26516),f249(x26513,x26514,x26515,x26512,x26516))
% 163.96/163.67 [2652]~E(x26521,x26522)+E(f249(x26523,x26524,x26525,x26526,x26521),f249(x26523,x26524,x26525,x26526,x26522))
% 163.96/163.67 [2653]~E(x26531,x26532)+E(f384(x26531,x26533,x26534,x26535,x26536),f384(x26532,x26533,x26534,x26535,x26536))
% 163.96/163.67 [2654]~E(x26541,x26542)+E(f384(x26543,x26541,x26544,x26545,x26546),f384(x26543,x26542,x26544,x26545,x26546))
% 163.96/163.67 [2655]~E(x26551,x26552)+E(f384(x26553,x26554,x26551,x26555,x26556),f384(x26553,x26554,x26552,x26555,x26556))
% 163.96/163.67 [2656]~E(x26561,x26562)+E(f384(x26563,x26564,x26565,x26561,x26566),f384(x26563,x26564,x26565,x26562,x26566))
% 163.96/163.67 [2657]~E(x26571,x26572)+E(f384(x26573,x26574,x26575,x26576,x26571),f384(x26573,x26574,x26575,x26576,x26572))
% 163.96/163.67 [2658]~E(x26581,x26582)+E(f356(x26581,x26583,x26584,x26585),f356(x26582,x26583,x26584,x26585))
% 163.96/163.67 [2659]~E(x26591,x26592)+E(f356(x26593,x26591,x26594,x26595),f356(x26593,x26592,x26594,x26595))
% 163.96/163.67 [2660]~E(x26601,x26602)+E(f356(x26603,x26604,x26601,x26605),f356(x26603,x26604,x26602,x26605))
% 163.96/163.67 [2661]~E(x26611,x26612)+E(f356(x26613,x26614,x26615,x26611),f356(x26613,x26614,x26615,x26612))
% 163.96/163.67 [2662]~E(x26621,x26622)+E(f819(x26621,x26623),f819(x26622,x26623))
% 163.96/163.67 [2663]~E(x26631,x26632)+E(f819(x26633,x26631),f819(x26633,x26632))
% 163.96/163.67 [2664]~E(x26641,x26642)+E(f529(x26641,x26643),f529(x26642,x26643))
% 163.96/163.67 [2665]~E(x26651,x26652)+E(f529(x26653,x26651),f529(x26653,x26652))
% 163.96/163.67 [2666]~E(x26661,x26662)+E(f822(x26661,x26663,x26664),f822(x26662,x26663,x26664))
% 163.96/163.67 [2667]~E(x26671,x26672)+E(f822(x26673,x26671,x26674),f822(x26673,x26672,x26674))
% 163.96/163.67 [2668]~E(x26681,x26682)+E(f822(x26683,x26684,x26681),f822(x26683,x26684,x26682))
% 163.96/163.67 [2669]~E(x26691,x26692)+E(f768(x26691,x26693,x26694,x26695,x26696),f768(x26692,x26693,x26694,x26695,x26696))
% 163.96/163.67 [2670]~E(x26701,x26702)+E(f768(x26703,x26701,x26704,x26705,x26706),f768(x26703,x26702,x26704,x26705,x26706))
% 163.96/163.67 [2671]~E(x26711,x26712)+E(f768(x26713,x26714,x26711,x26715,x26716),f768(x26713,x26714,x26712,x26715,x26716))
% 163.96/163.67 [2672]~E(x26721,x26722)+E(f768(x26723,x26724,x26725,x26721,x26726),f768(x26723,x26724,x26725,x26722,x26726))
% 163.96/163.67 [2673]~E(x26731,x26732)+E(f768(x26733,x26734,x26735,x26736,x26731),f768(x26733,x26734,x26735,x26736,x26732))
% 163.96/163.67 [2674]~E(x26741,x26742)+E(f649(x26741,x26743,x26744,x26745),f649(x26742,x26743,x26744,x26745))
% 163.96/163.67 [2675]~E(x26751,x26752)+E(f649(x26753,x26751,x26754,x26755),f649(x26753,x26752,x26754,x26755))
% 163.96/163.67 [2676]~E(x26761,x26762)+E(f649(x26763,x26764,x26761,x26765),f649(x26763,x26764,x26762,x26765))
% 163.96/163.67 [2677]~E(x26771,x26772)+E(f649(x26773,x26774,x26775,x26771),f649(x26773,x26774,x26775,x26772))
% 163.96/163.67 [2678]~E(x26781,x26782)+E(f462(x26781,x26783,x26784,x26785,x26786,x26787),f462(x26782,x26783,x26784,x26785,x26786,x26787))
% 163.96/163.67 [2679]~E(x26791,x26792)+E(f462(x26793,x26791,x26794,x26795,x26796,x26797),f462(x26793,x26792,x26794,x26795,x26796,x26797))
% 163.96/163.67 [2680]~E(x26801,x26802)+E(f462(x26803,x26804,x26801,x26805,x26806,x26807),f462(x26803,x26804,x26802,x26805,x26806,x26807))
% 163.96/163.67 [2681]~E(x26811,x26812)+E(f462(x26813,x26814,x26815,x26811,x26816,x26817),f462(x26813,x26814,x26815,x26812,x26816,x26817))
% 163.96/163.67 [2682]~E(x26821,x26822)+E(f462(x26823,x26824,x26825,x26826,x26821,x26827),f462(x26823,x26824,x26825,x26826,x26822,x26827))
% 163.96/163.67 [2683]~E(x26831,x26832)+E(f462(x26833,x26834,x26835,x26836,x26837,x26831),f462(x26833,x26834,x26835,x26836,x26837,x26832))
% 163.96/163.67 [2684]~E(x26841,x26842)+E(f407(x26841,x26843),f407(x26842,x26843))
% 163.96/163.67 [2685]~E(x26851,x26852)+E(f407(x26853,x26851),f407(x26853,x26852))
% 163.96/163.67 [2686]~E(x26861,x26862)+E(f525(x26861,x26863,x26864,x26865,x26866,x26867,x26868,x26869),f525(x26862,x26863,x26864,x26865,x26866,x26867,x26868,x26869))
% 163.96/163.67 [2687]~E(x26871,x26872)+E(f525(x26873,x26871,x26874,x26875,x26876,x26877,x26878,x26879),f525(x26873,x26872,x26874,x26875,x26876,x26877,x26878,x26879))
% 163.96/163.67 [2688]~E(x26881,x26882)+E(f525(x26883,x26884,x26881,x26885,x26886,x26887,x26888,x26889),f525(x26883,x26884,x26882,x26885,x26886,x26887,x26888,x26889))
% 163.96/163.67 [2689]~E(x26891,x26892)+E(f525(x26893,x26894,x26895,x26891,x26896,x26897,x26898,x26899),f525(x26893,x26894,x26895,x26892,x26896,x26897,x26898,x26899))
% 163.96/163.67 [2690]~E(x26901,x26902)+E(f525(x26903,x26904,x26905,x26906,x26901,x26907,x26908,x26909),f525(x26903,x26904,x26905,x26906,x26902,x26907,x26908,x26909))
% 163.96/163.67 [2691]~E(x26911,x26912)+E(f525(x26913,x26914,x26915,x26916,x26917,x26911,x26918,x26919),f525(x26913,x26914,x26915,x26916,x26917,x26912,x26918,x26919))
% 163.96/163.67 [2692]~E(x26921,x26922)+E(f525(x26923,x26924,x26925,x26926,x26927,x26928,x26921,x26929),f525(x26923,x26924,x26925,x26926,x26927,x26928,x26922,x26929))
% 163.96/163.67 [2693]~E(x26931,x26932)+E(f525(x26933,x26934,x26935,x26936,x26937,x26938,x26939,x26931),f525(x26933,x26934,x26935,x26936,x26937,x26938,x26939,x26932))
% 163.96/163.67 [2694]~E(x26941,x26942)+E(f508(x26941,x26943,x26944,x26945),f508(x26942,x26943,x26944,x26945))
% 163.96/163.67 [2695]~E(x26951,x26952)+E(f508(x26953,x26951,x26954,x26955),f508(x26953,x26952,x26954,x26955))
% 163.96/163.67 [2696]~E(x26961,x26962)+E(f508(x26963,x26964,x26961,x26965),f508(x26963,x26964,x26962,x26965))
% 163.96/163.67 [2697]~E(x26971,x26972)+E(f508(x26973,x26974,x26975,x26971),f508(x26973,x26974,x26975,x26972))
% 163.96/163.67 [2698]~E(x26981,x26982)+E(f226(x26981,x26983),f226(x26982,x26983))
% 163.96/163.67 [2699]~E(x26991,x26992)+E(f226(x26993,x26991),f226(x26993,x26992))
% 163.96/163.67 [2700]~E(x27001,x27002)+E(f417(x27001),f417(x27002))
% 163.96/163.67 [2701]~E(x27011,x27012)+E(f214(x27011,x27013,x27014,x27015,x27016),f214(x27012,x27013,x27014,x27015,x27016))
% 163.96/163.67 [2702]~E(x27021,x27022)+E(f214(x27023,x27021,x27024,x27025,x27026),f214(x27023,x27022,x27024,x27025,x27026))
% 163.96/163.67 [2703]~E(x27031,x27032)+E(f214(x27033,x27034,x27031,x27035,x27036),f214(x27033,x27034,x27032,x27035,x27036))
% 163.96/163.67 [2704]~E(x27041,x27042)+E(f214(x27043,x27044,x27045,x27041,x27046),f214(x27043,x27044,x27045,x27042,x27046))
% 163.96/163.67 [2705]~E(x27051,x27052)+E(f214(x27053,x27054,x27055,x27056,x27051),f214(x27053,x27054,x27055,x27056,x27052))
% 163.96/163.67 [2706]~E(x27061,x27062)+E(f763(x27061,x27063,x27064,x27065),f763(x27062,x27063,x27064,x27065))
% 163.96/163.67 [2707]~E(x27071,x27072)+E(f763(x27073,x27071,x27074,x27075),f763(x27073,x27072,x27074,x27075))
% 163.96/163.67 [2708]~E(x27081,x27082)+E(f763(x27083,x27084,x27081,x27085),f763(x27083,x27084,x27082,x27085))
% 163.96/163.67 [2709]~E(x27091,x27092)+E(f763(x27093,x27094,x27095,x27091),f763(x27093,x27094,x27095,x27092))
% 163.96/163.67 [2710]~E(x27101,x27102)+E(f265(x27101,x27103,x27104,x27105),f265(x27102,x27103,x27104,x27105))
% 163.96/163.67 [2711]~E(x27111,x27112)+E(f265(x27113,x27111,x27114,x27115),f265(x27113,x27112,x27114,x27115))
% 163.96/163.67 [2712]~E(x27121,x27122)+E(f265(x27123,x27124,x27121,x27125),f265(x27123,x27124,x27122,x27125))
% 163.96/163.67 [2713]~E(x27131,x27132)+E(f265(x27133,x27134,x27135,x27131),f265(x27133,x27134,x27135,x27132))
% 163.96/163.67 [2714]~E(x27141,x27142)+E(f394(x27141,x27143,x27144),f394(x27142,x27143,x27144))
% 163.96/163.67 [2715]~E(x27151,x27152)+E(f394(x27153,x27151,x27154),f394(x27153,x27152,x27154))
% 163.96/163.67 [2716]~E(x27161,x27162)+E(f394(x27163,x27164,x27161),f394(x27163,x27164,x27162))
% 163.96/163.67 [2717]~E(x27171,x27172)+E(f114(x27171),f114(x27172))
% 163.96/163.67 [2718]~E(x27181,x27182)+E(f673(x27181,x27183,x27184,x27185,x27186),f673(x27182,x27183,x27184,x27185,x27186))
% 163.96/163.67 [2719]~E(x27191,x27192)+E(f673(x27193,x27191,x27194,x27195,x27196),f673(x27193,x27192,x27194,x27195,x27196))
% 163.96/163.67 [2720]~E(x27201,x27202)+E(f673(x27203,x27204,x27201,x27205,x27206),f673(x27203,x27204,x27202,x27205,x27206))
% 163.96/163.67 [2721]~E(x27211,x27212)+E(f673(x27213,x27214,x27215,x27211,x27216),f673(x27213,x27214,x27215,x27212,x27216))
% 163.96/163.67 [2722]~E(x27221,x27222)+E(f673(x27223,x27224,x27225,x27226,x27221),f673(x27223,x27224,x27225,x27226,x27222))
% 163.96/163.67 [2723]~E(x27231,x27232)+E(f350(x27231,x27233),f350(x27232,x27233))
% 163.96/163.67 [2724]~E(x27241,x27242)+E(f350(x27243,x27241),f350(x27243,x27242))
% 163.96/163.67 [2725]~E(x27251,x27252)+E(f730(x27251,x27253,x27254),f730(x27252,x27253,x27254))
% 163.96/163.67 [2726]~E(x27261,x27262)+E(f730(x27263,x27261,x27264),f730(x27263,x27262,x27264))
% 163.96/163.67 [2727]~E(x27271,x27272)+E(f730(x27273,x27274,x27271),f730(x27273,x27274,x27272))
% 163.96/163.67 [2728]~E(x27281,x27282)+E(f729(x27281,x27283),f729(x27282,x27283))
% 163.96/163.67 [2729]~E(x27291,x27292)+E(f729(x27293,x27291),f729(x27293,x27292))
% 163.96/163.67 [2730]~E(x27301,x27302)+E(f367(x27301,x27303),f367(x27302,x27303))
% 163.96/163.67 [2731]~E(x27311,x27312)+E(f367(x27313,x27311),f367(x27313,x27312))
% 163.96/163.67 [2732]~E(x27321,x27322)+E(f516(x27321,x27323,x27324,x27325),f516(x27322,x27323,x27324,x27325))
% 163.96/163.67 [2733]~E(x27331,x27332)+E(f516(x27333,x27331,x27334,x27335),f516(x27333,x27332,x27334,x27335))
% 163.96/163.67 [2734]~E(x27341,x27342)+E(f516(x27343,x27344,x27341,x27345),f516(x27343,x27344,x27342,x27345))
% 163.96/163.67 [2735]~E(x27351,x27352)+E(f516(x27353,x27354,x27355,x27351),f516(x27353,x27354,x27355,x27352))
% 163.96/163.67 [2736]~E(x27361,x27362)+E(f399(x27361),f399(x27362))
% 163.96/163.67 [2737]~E(x27371,x27372)+E(f365(x27371,x27373),f365(x27372,x27373))
% 163.96/163.67 [2738]~E(x27381,x27382)+E(f365(x27383,x27381),f365(x27383,x27382))
% 163.96/163.67 [2739]~E(x27391,x27392)+E(f351(x27391,x27393),f351(x27392,x27393))
% 163.96/163.67 [2740]~E(x27401,x27402)+E(f351(x27403,x27401),f351(x27403,x27402))
% 163.96/163.67 [2741]~E(x27411,x27412)+E(f799(x27411,x27413),f799(x27412,x27413))
% 163.96/163.67 [2742]~E(x27421,x27422)+E(f799(x27423,x27421),f799(x27423,x27422))
% 163.96/163.67 [2743]~E(x27431,x27432)+E(f658(x27431,x27433),f658(x27432,x27433))
% 163.96/163.67 [2744]~E(x27441,x27442)+E(f658(x27443,x27441),f658(x27443,x27442))
% 163.96/163.67 [2745]~E(x27451,x27452)+E(f506(x27451,x27453,x27454,x27455),f506(x27452,x27453,x27454,x27455))
% 163.96/163.67 [2746]~E(x27461,x27462)+E(f506(x27463,x27461,x27464,x27465),f506(x27463,x27462,x27464,x27465))
% 163.96/163.67 [2747]~E(x27471,x27472)+E(f506(x27473,x27474,x27471,x27475),f506(x27473,x27474,x27472,x27475))
% 163.96/163.67 [2748]~E(x27481,x27482)+E(f506(x27483,x27484,x27485,x27481),f506(x27483,x27484,x27485,x27482))
% 163.96/163.67 [2749]~E(x27491,x27492)+E(f374(x27491,x27493,x27494),f374(x27492,x27493,x27494))
% 163.96/163.67 [2750]~E(x27501,x27502)+E(f374(x27503,x27501,x27504),f374(x27503,x27502,x27504))
% 163.96/163.67 [2751]~E(x27511,x27512)+E(f374(x27513,x27514,x27511),f374(x27513,x27514,x27512))
% 163.96/163.67 [2752]~E(x27521,x27522)+E(f333(x27521),f333(x27522))
% 163.96/163.67 [2753]~E(x27531,x27532)+E(f330(x27531,x27533,x27534,x27535,x27536,x27537),f330(x27532,x27533,x27534,x27535,x27536,x27537))
% 163.96/163.67 [2754]~E(x27541,x27542)+E(f330(x27543,x27541,x27544,x27545,x27546,x27547),f330(x27543,x27542,x27544,x27545,x27546,x27547))
% 163.96/163.67 [2755]~E(x27551,x27552)+E(f330(x27553,x27554,x27551,x27555,x27556,x27557),f330(x27553,x27554,x27552,x27555,x27556,x27557))
% 163.96/163.67 [2756]~E(x27561,x27562)+E(f330(x27563,x27564,x27565,x27561,x27566,x27567),f330(x27563,x27564,x27565,x27562,x27566,x27567))
% 163.96/163.67 [2757]~E(x27571,x27572)+E(f330(x27573,x27574,x27575,x27576,x27571,x27577),f330(x27573,x27574,x27575,x27576,x27572,x27577))
% 163.96/163.67 [2758]~E(x27581,x27582)+E(f330(x27583,x27584,x27585,x27586,x27587,x27581),f330(x27583,x27584,x27585,x27586,x27587,x27582))
% 163.96/163.67 [2759]~E(x27591,x27592)+E(f735(x27591,x27593,x27594,x27595,x27596),f735(x27592,x27593,x27594,x27595,x27596))
% 163.96/163.67 [2760]~E(x27601,x27602)+E(f735(x27603,x27601,x27604,x27605,x27606),f735(x27603,x27602,x27604,x27605,x27606))
% 163.96/163.67 [2761]~E(x27611,x27612)+E(f735(x27613,x27614,x27611,x27615,x27616),f735(x27613,x27614,x27612,x27615,x27616))
% 163.96/163.67 [2762]~E(x27621,x27622)+E(f735(x27623,x27624,x27625,x27621,x27626),f735(x27623,x27624,x27625,x27622,x27626))
% 163.96/163.67 [2763]~E(x27631,x27632)+E(f735(x27633,x27634,x27635,x27636,x27631),f735(x27633,x27634,x27635,x27636,x27632))
% 163.96/163.67 [2764]~E(x27641,x27642)+E(f567(x27641,x27643,x27644,x27645),f567(x27642,x27643,x27644,x27645))
% 163.96/163.67 [2765]~E(x27651,x27652)+E(f567(x27653,x27651,x27654,x27655),f567(x27653,x27652,x27654,x27655))
% 163.96/163.67 [2766]~E(x27661,x27662)+E(f567(x27663,x27664,x27661,x27665),f567(x27663,x27664,x27662,x27665))
% 163.96/163.67 [2767]~E(x27671,x27672)+E(f567(x27673,x27674,x27675,x27671),f567(x27673,x27674,x27675,x27672))
% 163.96/163.67 [2768]~E(x27681,x27682)+E(f683(x27681,x27683,x27684),f683(x27682,x27683,x27684))
% 163.96/163.67 [2769]~E(x27691,x27692)+E(f683(x27693,x27691,x27694),f683(x27693,x27692,x27694))
% 163.96/163.67 [2770]~E(x27701,x27702)+E(f683(x27703,x27704,x27701),f683(x27703,x27704,x27702))
% 163.96/163.67 [2771]~E(x27711,x27712)+E(f194(x27711),f194(x27712))
% 163.96/163.67 [2772]~E(x27721,x27722)+E(f747(x27721,x27723,x27724),f747(x27722,x27723,x27724))
% 163.96/163.67 [2773]~E(x27731,x27732)+E(f747(x27733,x27731,x27734),f747(x27733,x27732,x27734))
% 163.96/163.67 [2774]~E(x27741,x27742)+E(f747(x27743,x27744,x27741),f747(x27743,x27744,x27742))
% 163.96/163.67 [2775]~E(x27751,x27752)+E(f201(x27751,x27753,x27754,x27755,x27756,x27757,x27758),f201(x27752,x27753,x27754,x27755,x27756,x27757,x27758))
% 163.96/163.67 [2776]~E(x27761,x27762)+E(f201(x27763,x27761,x27764,x27765,x27766,x27767,x27768),f201(x27763,x27762,x27764,x27765,x27766,x27767,x27768))
% 163.96/163.67 [2777]~E(x27771,x27772)+E(f201(x27773,x27774,x27771,x27775,x27776,x27777,x27778),f201(x27773,x27774,x27772,x27775,x27776,x27777,x27778))
% 163.96/163.67 [2778]~E(x27781,x27782)+E(f201(x27783,x27784,x27785,x27781,x27786,x27787,x27788),f201(x27783,x27784,x27785,x27782,x27786,x27787,x27788))
% 163.96/163.67 [2779]~E(x27791,x27792)+E(f201(x27793,x27794,x27795,x27796,x27791,x27797,x27798),f201(x27793,x27794,x27795,x27796,x27792,x27797,x27798))
% 163.96/163.67 [2780]~E(x27801,x27802)+E(f201(x27803,x27804,x27805,x27806,x27807,x27801,x27808),f201(x27803,x27804,x27805,x27806,x27807,x27802,x27808))
% 163.96/163.67 [2781]~E(x27811,x27812)+E(f201(x27813,x27814,x27815,x27816,x27817,x27818,x27811),f201(x27813,x27814,x27815,x27816,x27817,x27818,x27812))
% 163.96/163.67 [2782]~P1(x27821)+P1(x27822)+~E(x27821,x27822)
% 163.96/163.67 [2783]~P107(x27831)+P107(x27832)+~E(x27831,x27832)
% 163.96/163.67 [2784]~P2(x27841)+P2(x27842)+~E(x27841,x27842)
% 163.96/163.67 [2785]P9(x27852,x27853,x27854,x27855,x27856,x27857)+~E(x27851,x27852)+~P9(x27851,x27853,x27854,x27855,x27856,x27857)
% 163.96/163.67 [2786]P9(x27863,x27862,x27864,x27865,x27866,x27867)+~E(x27861,x27862)+~P9(x27863,x27861,x27864,x27865,x27866,x27867)
% 163.96/163.67 [2787]P9(x27873,x27874,x27872,x27875,x27876,x27877)+~E(x27871,x27872)+~P9(x27873,x27874,x27871,x27875,x27876,x27877)
% 163.96/163.67 [2788]P9(x27883,x27884,x27885,x27882,x27886,x27887)+~E(x27881,x27882)+~P9(x27883,x27884,x27885,x27881,x27886,x27887)
% 163.96/163.67 [2789]P9(x27893,x27894,x27895,x27896,x27892,x27897)+~E(x27891,x27892)+~P9(x27893,x27894,x27895,x27896,x27891,x27897)
% 163.96/163.67 [2790]P9(x27903,x27904,x27905,x27906,x27907,x27902)+~E(x27901,x27902)+~P9(x27903,x27904,x27905,x27906,x27907,x27901)
% 163.96/163.67 [2791]~P108(x27911)+P108(x27912)+~E(x27911,x27912)
% 163.96/163.67 [2792]~P123(x27921)+P123(x27922)+~E(x27921,x27922)
% 163.96/163.67 [2793]~P98(x27931)+P98(x27932)+~E(x27931,x27932)
% 163.96/163.67 [2794]~P109(x27941)+P109(x27942)+~E(x27941,x27942)
% 163.96/163.67 [2795]P148(x27952,x27953,x27954)+~E(x27951,x27952)+~P148(x27951,x27953,x27954)
% 163.96/163.67 [2796]P148(x27963,x27962,x27964)+~E(x27961,x27962)+~P148(x27963,x27961,x27964)
% 163.96/163.67 [2797]P148(x27973,x27974,x27972)+~E(x27971,x27972)+~P148(x27973,x27974,x27971)
% 163.96/163.67 [2798]~P141(x27981)+P141(x27982)+~E(x27981,x27982)
% 163.96/163.67 [2799]~P132(x27991)+P132(x27992)+~E(x27991,x27992)
% 163.96/163.67 [2800]~P110(x28001)+P110(x28002)+~E(x28001,x28002)
% 163.96/163.67 [2801]~P78(x28011)+P78(x28012)+~E(x28011,x28012)
% 163.96/163.67 [2802]~P126(x28021)+P126(x28022)+~E(x28021,x28022)
% 163.96/163.67 [2803]P149(x28032,x28033,x28034)+~E(x28031,x28032)+~P149(x28031,x28033,x28034)
% 163.96/163.67 [2804]P149(x28043,x28042,x28044)+~E(x28041,x28042)+~P149(x28043,x28041,x28044)
% 163.96/163.67 [2805]P149(x28053,x28054,x28052)+~E(x28051,x28052)+~P149(x28053,x28054,x28051)
% 163.96/163.67 [2806]~P111(x28061)+P111(x28062)+~E(x28061,x28062)
% 163.96/163.67 [2807]P28(x28072,x28073,x28074)+~E(x28071,x28072)+~P28(x28071,x28073,x28074)
% 163.96/163.67 [2808]P28(x28083,x28082,x28084)+~E(x28081,x28082)+~P28(x28083,x28081,x28084)
% 163.96/163.67 [2809]P28(x28093,x28094,x28092)+~E(x28091,x28092)+~P28(x28093,x28094,x28091)
% 163.96/163.67 [2810]P22(x28102,x28103,x28104,x28105)+~E(x28101,x28102)+~P22(x28101,x28103,x28104,x28105)
% 163.96/163.67 [2811]P22(x28113,x28112,x28114,x28115)+~E(x28111,x28112)+~P22(x28113,x28111,x28114,x28115)
% 163.96/163.67 [2812]P22(x28123,x28124,x28122,x28125)+~E(x28121,x28122)+~P22(x28123,x28124,x28121,x28125)
% 163.96/163.67 [2813]P22(x28133,x28134,x28135,x28132)+~E(x28131,x28132)+~P22(x28133,x28134,x28135,x28131)
% 163.96/163.67 [2814]P30(x28142,x28143,x28144)+~E(x28141,x28142)+~P30(x28141,x28143,x28144)
% 163.96/163.67 [2815]P30(x28153,x28152,x28154)+~E(x28151,x28152)+~P30(x28153,x28151,x28154)
% 163.96/163.67 [2816]P30(x28163,x28164,x28162)+~E(x28161,x28162)+~P30(x28163,x28164,x28161)
% 163.96/163.67 [2817]~P59(x28171)+P59(x28172)+~E(x28171,x28172)
% 163.96/163.67 [2818]P10(x28182,x28183)+~E(x28181,x28182)+~P10(x28181,x28183)
% 163.96/163.67 [2819]P10(x28193,x28192)+~E(x28191,x28192)+~P10(x28193,x28191)
% 163.96/163.67 [2820]~P76(x28201)+P76(x28202)+~E(x28201,x28202)
% 163.96/163.67 [2821]~P103(x28211)+P103(x28212)+~E(x28211,x28212)
% 163.96/163.67 [2822]~P79(x28221)+P79(x28222)+~E(x28221,x28222)
% 163.96/163.67 [2823]~P112(x28231)+P112(x28232)+~E(x28231,x28232)
% 163.96/163.67 [2824]~P60(x28241)+P60(x28242)+~E(x28241,x28242)
% 163.96/163.67 [2825]~P83(x28251)+P83(x28252)+~E(x28251,x28252)
% 163.96/163.67 [2826]~P81(x28261)+P81(x28262)+~E(x28261,x28262)
% 163.96/163.67 [2827]P8(x28272,x28273,x28274,x28275)+~E(x28271,x28272)+~P8(x28271,x28273,x28274,x28275)
% 163.96/163.67 [2828]P8(x28283,x28282,x28284,x28285)+~E(x28281,x28282)+~P8(x28283,x28281,x28284,x28285)
% 163.96/163.67 [2829]P8(x28293,x28294,x28292,x28295)+~E(x28291,x28292)+~P8(x28293,x28294,x28291,x28295)
% 163.96/163.67 [2830]P8(x28303,x28304,x28305,x28302)+~E(x28301,x28302)+~P8(x28303,x28304,x28305,x28301)
% 163.96/163.67 [2831]~P84(x28311)+P84(x28312)+~E(x28311,x28312)
% 163.96/163.67 [2832]~P89(x28321)+P89(x28322)+~E(x28321,x28322)
% 163.96/163.67 [2833]~P39(x28331)+P39(x28332)+~E(x28331,x28332)
% 163.96/163.67 [2834]~P85(x28341)+P85(x28342)+~E(x28341,x28342)
% 163.96/163.67 [2835]~P101(x28351)+P101(x28352)+~E(x28351,x28352)
% 163.96/163.67 [2836]P36(x28362,x28363)+~E(x28361,x28362)+~P36(x28361,x28363)
% 163.96/163.67 [2837]P36(x28373,x28372)+~E(x28371,x28372)+~P36(x28373,x28371)
% 163.96/163.67 [2838]~P99(x28381)+P99(x28382)+~E(x28381,x28382)
% 163.96/163.67 [2839]P5(x28392,x28393,x28394)+~E(x28391,x28392)+~P5(x28391,x28393,x28394)
% 163.96/163.67 [2840]P5(x28403,x28402,x28404)+~E(x28401,x28402)+~P5(x28403,x28401,x28404)
% 163.96/163.67 [2841]P5(x28413,x28414,x28412)+~E(x28411,x28412)+~P5(x28413,x28414,x28411)
% 163.96/163.67 [2842]~P102(x28421)+P102(x28422)+~E(x28421,x28422)
% 163.96/163.67 [2843]~P66(x28431)+P66(x28432)+~E(x28431,x28432)
% 163.96/163.67 [2844]~P117(x28441)+P117(x28442)+~E(x28441,x28442)
% 163.96/163.67 [2845]~P69(x28451)+P69(x28452)+~E(x28451,x28452)
% 163.96/163.67 [2846]P23(x28462,x28463,x28464,x28465,x28466)+~E(x28461,x28462)+~P23(x28461,x28463,x28464,x28465,x28466)
% 163.96/163.67 [2847]P23(x28473,x28472,x28474,x28475,x28476)+~E(x28471,x28472)+~P23(x28473,x28471,x28474,x28475,x28476)
% 163.96/163.67 [2848]P23(x28483,x28484,x28482,x28485,x28486)+~E(x28481,x28482)+~P23(x28483,x28484,x28481,x28485,x28486)
% 163.96/163.67 [2849]P23(x28493,x28494,x28495,x28492,x28496)+~E(x28491,x28492)+~P23(x28493,x28494,x28495,x28491,x28496)
% 163.96/163.67 [2850]P23(x28503,x28504,x28505,x28506,x28502)+~E(x28501,x28502)+~P23(x28503,x28504,x28505,x28506,x28501)
% 163.96/163.67 [2851]~P146(x28511)+P146(x28512)+~E(x28511,x28512)
% 163.96/163.67 [2852]~P86(x28521)+P86(x28522)+~E(x28521,x28522)
% 163.96/163.67 [2853]~P147(x28531)+P147(x28532)+~E(x28531,x28532)
% 163.96/163.67 [2854]~P71(x28541)+P71(x28542)+~E(x28541,x28542)
% 163.96/163.67 [2855]~P94(x28551)+P94(x28552)+~E(x28551,x28552)
% 163.96/163.67 [2856]~P113(x28561)+P113(x28562)+~E(x28561,x28562)
% 163.96/163.67 [2857]~P122(x28571)+P122(x28572)+~E(x28571,x28572)
% 163.96/163.67 [2858]P51(x28582,x28583,x28584)+~E(x28581,x28582)+~P51(x28581,x28583,x28584)
% 163.96/163.67 [2859]P51(x28593,x28592,x28594)+~E(x28591,x28592)+~P51(x28593,x28591,x28594)
% 163.96/163.67 [2860]P51(x28603,x28604,x28602)+~E(x28601,x28602)+~P51(x28603,x28604,x28601)
% 163.96/163.67 [2861]~P61(x28611)+P61(x28612)+~E(x28611,x28612)
% 163.96/163.67 [2862]~P97(x28621)+P97(x28622)+~E(x28621,x28622)
% 163.96/163.67 [2863]~P114(x28631)+P114(x28632)+~E(x28631,x28632)
% 163.96/163.67 [2864]~P80(x28641)+P80(x28642)+~E(x28641,x28642)
% 163.96/163.67 [2865]~P90(x28651)+P90(x28652)+~E(x28651,x28652)
% 163.96/163.67 [2866]~P72(x28661)+P72(x28662)+~E(x28661,x28662)
% 163.96/163.67 [2867]~P87(x28671)+P87(x28672)+~E(x28671,x28672)
% 163.96/163.67 [2868]~P68(x28681)+P68(x28682)+~E(x28681,x28682)
% 163.96/163.67 [2869]P18(x28692,x28693,x28694,x28695,x28696)+~E(x28691,x28692)+~P18(x28691,x28693,x28694,x28695,x28696)
% 163.96/163.67 [2870]P18(x28703,x28702,x28704,x28705,x28706)+~E(x28701,x28702)+~P18(x28703,x28701,x28704,x28705,x28706)
% 163.96/163.67 [2871]P18(x28713,x28714,x28712,x28715,x28716)+~E(x28711,x28712)+~P18(x28713,x28714,x28711,x28715,x28716)
% 163.96/163.67 [2872]P18(x28723,x28724,x28725,x28722,x28726)+~E(x28721,x28722)+~P18(x28723,x28724,x28725,x28721,x28726)
% 163.96/163.67 [2873]P18(x28733,x28734,x28735,x28736,x28732)+~E(x28731,x28732)+~P18(x28733,x28734,x28735,x28736,x28731)
% 163.96/163.67 [2874]P15(x28742,x28743,x28744)+~E(x28741,x28742)+~P15(x28741,x28743,x28744)
% 163.96/163.67 [2875]P15(x28753,x28752,x28754)+~E(x28751,x28752)+~P15(x28753,x28751,x28754)
% 163.96/163.67 [2876]P15(x28763,x28764,x28762)+~E(x28761,x28762)+~P15(x28763,x28764,x28761)
% 163.96/163.67 [2877]~P67(x28771)+P67(x28772)+~E(x28771,x28772)
% 163.96/163.67 [2878]~P62(x28781)+P62(x28782)+~E(x28781,x28782)
% 163.96/163.67 [2879]~P65(x28791)+P65(x28792)+~E(x28791,x28792)
% 163.96/163.67 [2880]~P136(x28801)+P136(x28802)+~E(x28801,x28802)
% 163.96/163.67 [2881]P32(x28812,x28813,x28814)+~E(x28811,x28812)+~P32(x28811,x28813,x28814)
% 163.96/163.67 [2882]P32(x28823,x28822,x28824)+~E(x28821,x28822)+~P32(x28823,x28821,x28824)
% 163.96/163.67 [2883]P32(x28833,x28834,x28832)+~E(x28831,x28832)+~P32(x28833,x28834,x28831)
% 163.96/163.67 [2884]~P140(x28841)+P140(x28842)+~E(x28841,x28842)
% 163.96/163.67 [2885]~P115(x28851)+P115(x28852)+~E(x28851,x28852)
% 163.96/163.67 [2886]P24(x28862,x28863)+~E(x28861,x28862)+~P24(x28861,x28863)
% 163.96/163.67 [2887]P24(x28873,x28872)+~E(x28871,x28872)+~P24(x28873,x28871)
% 163.96/163.67 [2888]P16(x28882,x28883,x28884,x28885)+~E(x28881,x28882)+~P16(x28881,x28883,x28884,x28885)
% 163.96/163.67 [2889]P16(x28893,x28892,x28894,x28895)+~E(x28891,x28892)+~P16(x28893,x28891,x28894,x28895)
% 163.96/163.67 [2890]P16(x28903,x28904,x28902,x28905)+~E(x28901,x28902)+~P16(x28903,x28904,x28901,x28905)
% 163.96/163.67 [2891]P16(x28913,x28914,x28915,x28912)+~E(x28911,x28912)+~P16(x28913,x28914,x28915,x28911)
% 163.96/163.67 [2892]P53(x28922,x28923)+~E(x28921,x28922)+~P53(x28921,x28923)
% 163.96/163.67 [2893]P53(x28933,x28932)+~E(x28931,x28932)+~P53(x28933,x28931)
% 163.96/163.67 [2894]~P142(x28941)+P142(x28942)+~E(x28941,x28942)
% 163.96/163.67 [2895]P33(x28952,x28953,x28954,x28955,x28956)+~E(x28951,x28952)+~P33(x28951,x28953,x28954,x28955,x28956)
% 163.96/163.67 [2896]P33(x28963,x28962,x28964,x28965,x28966)+~E(x28961,x28962)+~P33(x28963,x28961,x28964,x28965,x28966)
% 163.96/163.67 [2897]P33(x28973,x28974,x28972,x28975,x28976)+~E(x28971,x28972)+~P33(x28973,x28974,x28971,x28975,x28976)
% 163.96/163.67 [2898]P33(x28983,x28984,x28985,x28982,x28986)+~E(x28981,x28982)+~P33(x28983,x28984,x28985,x28981,x28986)
% 163.96/163.67 [2899]P33(x28993,x28994,x28995,x28996,x28992)+~E(x28991,x28992)+~P33(x28993,x28994,x28995,x28996,x28991)
% 163.96/163.67 [2900]~P70(x29001)+P70(x29002)+~E(x29001,x29002)
% 163.96/163.67 [2901]P38(x29012,x29013)+~E(x29011,x29012)+~P38(x29011,x29013)
% 163.96/163.67 [2902]P38(x29023,x29022)+~E(x29021,x29022)+~P38(x29023,x29021)
% 163.96/163.67 [2903]P41(x29032,x29033,x29034,x29035,x29036,x29037)+~E(x29031,x29032)+~P41(x29031,x29033,x29034,x29035,x29036,x29037)
% 163.96/163.67 [2904]P41(x29043,x29042,x29044,x29045,x29046,x29047)+~E(x29041,x29042)+~P41(x29043,x29041,x29044,x29045,x29046,x29047)
% 163.96/163.67 [2905]P41(x29053,x29054,x29052,x29055,x29056,x29057)+~E(x29051,x29052)+~P41(x29053,x29054,x29051,x29055,x29056,x29057)
% 163.96/163.67 [2906]P41(x29063,x29064,x29065,x29062,x29066,x29067)+~E(x29061,x29062)+~P41(x29063,x29064,x29065,x29061,x29066,x29067)
% 163.96/163.67 [2907]P41(x29073,x29074,x29075,x29076,x29072,x29077)+~E(x29071,x29072)+~P41(x29073,x29074,x29075,x29076,x29071,x29077)
% 163.96/163.67 [2908]P41(x29083,x29084,x29085,x29086,x29087,x29082)+~E(x29081,x29082)+~P41(x29083,x29084,x29085,x29086,x29087,x29081)
% 163.96/163.67 [2909]~P73(x29091)+P73(x29092)+~E(x29091,x29092)
% 163.96/163.67 [2910]P34(x29102,x29103,x29104)+~E(x29101,x29102)+~P34(x29101,x29103,x29104)
% 163.96/163.67 [2911]P34(x29113,x29112,x29114)+~E(x29111,x29112)+~P34(x29113,x29111,x29114)
% 163.96/163.67 [2912]P34(x29123,x29124,x29122)+~E(x29121,x29122)+~P34(x29123,x29124,x29121)
% 163.96/163.67 [2913]P17(x29132,x29133,x29134,x29135)+~E(x29131,x29132)+~P17(x29131,x29133,x29134,x29135)
% 163.96/163.67 [2914]P17(x29143,x29142,x29144,x29145)+~E(x29141,x29142)+~P17(x29143,x29141,x29144,x29145)
% 163.96/163.67 [2915]P17(x29153,x29154,x29152,x29155)+~E(x29151,x29152)+~P17(x29153,x29154,x29151,x29155)
% 163.96/163.67 [2916]P17(x29163,x29164,x29165,x29162)+~E(x29161,x29162)+~P17(x29163,x29164,x29165,x29161)
% 163.96/163.67 [2917]~P74(x29171)+P74(x29172)+~E(x29171,x29172)
% 163.96/163.67 [2918]~P3(x29181)+P3(x29182)+~E(x29181,x29182)
% 163.96/163.67 [2919]~P88(x29191)+P88(x29192)+~E(x29191,x29192)
% 163.96/163.67 [2920]P37(x29202,x29203)+~E(x29201,x29202)+~P37(x29201,x29203)
% 163.96/163.67 [2921]P37(x29213,x29212)+~E(x29211,x29212)+~P37(x29213,x29211)
% 163.96/163.67 [2922]~P128(x29221)+P128(x29222)+~E(x29221,x29222)
% 163.96/163.67 [2923]~P120(x29231)+P120(x29232)+~E(x29231,x29232)
% 163.96/163.67 [2924]P14(x29242,x29243,x29244)+~E(x29241,x29242)+~P14(x29241,x29243,x29244)
% 163.96/163.67 [2925]P14(x29253,x29252,x29254)+~E(x29251,x29252)+~P14(x29253,x29251,x29254)
% 163.96/163.67 [2926]P14(x29263,x29264,x29262)+~E(x29261,x29262)+~P14(x29263,x29264,x29261)
% 163.96/163.67 [2927]~P96(x29271)+P96(x29272)+~E(x29271,x29272)
% 163.96/163.67 [2928]P11(x29282,x29283,x29284)+~E(x29281,x29282)+~P11(x29281,x29283,x29284)
% 163.96/163.67 [2929]P11(x29293,x29292,x29294)+~E(x29291,x29292)+~P11(x29293,x29291,x29294)
% 163.96/163.67 [2930]P11(x29303,x29304,x29302)+~E(x29301,x29302)+~P11(x29303,x29304,x29301)
% 163.96/163.67 [2931]P50(x29312,x29313)+~E(x29311,x29312)+~P50(x29311,x29313)
% 163.96/163.67 [2932]P50(x29323,x29322)+~E(x29321,x29322)+~P50(x29323,x29321)
% 163.96/163.67 [2933]~P139(x29331)+P139(x29332)+~E(x29331,x29332)
% 163.96/163.67 [2934]P48(x29342,x29343)+~E(x29341,x29342)+~P48(x29341,x29343)
% 163.96/163.67 [2935]P48(x29353,x29352)+~E(x29351,x29352)+~P48(x29353,x29351)
% 163.96/163.67 [2936]~P143(x29361)+P143(x29362)+~E(x29361,x29362)
% 163.96/163.67 [2937]P56(x29372,x29373)+~E(x29371,x29372)+~P56(x29371,x29373)
% 163.96/163.67 [2938]P56(x29383,x29382)+~E(x29381,x29382)+~P56(x29383,x29381)
% 163.96/163.67 [2939]P27(x29392,x29393,x29394,x29395,x29396)+~E(x29391,x29392)+~P27(x29391,x29393,x29394,x29395,x29396)
% 163.96/163.67 [2940]P27(x29403,x29402,x29404,x29405,x29406)+~E(x29401,x29402)+~P27(x29403,x29401,x29404,x29405,x29406)
% 163.96/163.67 [2941]P27(x29413,x29414,x29412,x29415,x29416)+~E(x29411,x29412)+~P27(x29413,x29414,x29411,x29415,x29416)
% 163.96/163.67 [2942]P27(x29423,x29424,x29425,x29422,x29426)+~E(x29421,x29422)+~P27(x29423,x29424,x29425,x29421,x29426)
% 163.96/163.67 [2943]P27(x29433,x29434,x29435,x29436,x29432)+~E(x29431,x29432)+~P27(x29433,x29434,x29435,x29436,x29431)
% 163.96/163.67 [2944]~P118(x29441)+P118(x29442)+~E(x29441,x29442)
% 163.96/163.67 [2945]P52(x29452,x29453,x29454)+~E(x29451,x29452)+~P52(x29451,x29453,x29454)
% 163.96/163.67 [2946]P52(x29463,x29462,x29464)+~E(x29461,x29462)+~P52(x29463,x29461,x29464)
% 163.96/163.67 [2947]P52(x29473,x29474,x29472)+~E(x29471,x29472)+~P52(x29473,x29474,x29471)
% 163.96/163.67 [2948]P4(x29482,x29483)+~E(x29481,x29482)+~P4(x29481,x29483)
% 163.96/163.67 [2949]P4(x29493,x29492)+~E(x29491,x29492)+~P4(x29493,x29491)
% 163.96/163.67 [2950]~P129(x29501)+P129(x29502)+~E(x29501,x29502)
% 163.96/163.67 [2951]~P77(x29511)+P77(x29512)+~E(x29511,x29512)
% 163.96/163.67 [2952]~P100(x29521)+P100(x29522)+~E(x29521,x29522)
% 163.96/163.67 [2953]~P64(x29531)+P64(x29532)+~E(x29531,x29532)
% 163.96/163.67 [2954]P31(x29542,x29543,x29544,x29545)+~E(x29541,x29542)+~P31(x29541,x29543,x29544,x29545)
% 163.96/163.67 [2955]P31(x29553,x29552,x29554,x29555)+~E(x29551,x29552)+~P31(x29553,x29551,x29554,x29555)
% 163.96/163.67 [2956]P31(x29563,x29564,x29562,x29565)+~E(x29561,x29562)+~P31(x29563,x29564,x29561,x29565)
% 163.96/163.67 [2957]P31(x29573,x29574,x29575,x29572)+~E(x29571,x29572)+~P31(x29573,x29574,x29575,x29571)
% 163.96/163.67 [2958]~P95(x29581)+P95(x29582)+~E(x29581,x29582)
% 163.96/163.67 [2959]P54(x29592,x29593,x29594)+~E(x29591,x29592)+~P54(x29591,x29593,x29594)
% 163.96/163.67 [2960]P54(x29603,x29602,x29604)+~E(x29601,x29602)+~P54(x29603,x29601,x29604)
% 163.96/163.67 [2961]P54(x29613,x29614,x29612)+~E(x29611,x29612)+~P54(x29613,x29614,x29611)
% 163.96/163.67 [2962]P55(x29622,x29623,x29624,x29625,x29626)+~E(x29621,x29622)+~P55(x29621,x29623,x29624,x29625,x29626)
% 163.96/163.67 [2963]P55(x29633,x29632,x29634,x29635,x29636)+~E(x29631,x29632)+~P55(x29633,x29631,x29634,x29635,x29636)
% 163.96/163.67 [2964]P55(x29643,x29644,x29642,x29645,x29646)+~E(x29641,x29642)+~P55(x29643,x29644,x29641,x29645,x29646)
% 163.96/163.67 [2965]P55(x29653,x29654,x29655,x29652,x29656)+~E(x29651,x29652)+~P55(x29653,x29654,x29655,x29651,x29656)
% 163.96/163.67 [2966]P55(x29663,x29664,x29665,x29666,x29662)+~E(x29661,x29662)+~P55(x29663,x29664,x29665,x29666,x29661)
% 163.96/163.67 [2967]~P82(x29671)+P82(x29672)+~E(x29671,x29672)
% 163.96/163.67 [2968]~P35(x29681)+P35(x29682)+~E(x29681,x29682)
% 163.96/163.67 [2969]P58(x29692,x29693)+~E(x29691,x29692)+~P58(x29691,x29693)
% 163.96/163.67 [2970]P58(x29703,x29702)+~E(x29701,x29702)+~P58(x29703,x29701)
% 163.96/163.67 [2971]P49(x29712,x29713)+~E(x29711,x29712)+~P49(x29711,x29713)
% 163.96/163.67 [2972]P49(x29723,x29722)+~E(x29721,x29722)+~P49(x29723,x29721)
% 163.96/163.67 [2973]P20(x29732,x29733,x29734,x29735,x29736,x29737)+~E(x29731,x29732)+~P20(x29731,x29733,x29734,x29735,x29736,x29737)
% 163.96/163.67 [2974]P20(x29743,x29742,x29744,x29745,x29746,x29747)+~E(x29741,x29742)+~P20(x29743,x29741,x29744,x29745,x29746,x29747)
% 163.96/163.67 [2975]P20(x29753,x29754,x29752,x29755,x29756,x29757)+~E(x29751,x29752)+~P20(x29753,x29754,x29751,x29755,x29756,x29757)
% 163.96/163.67 [2976]P20(x29763,x29764,x29765,x29762,x29766,x29767)+~E(x29761,x29762)+~P20(x29763,x29764,x29765,x29761,x29766,x29767)
% 163.96/163.67 [2977]P20(x29773,x29774,x29775,x29776,x29772,x29777)+~E(x29771,x29772)+~P20(x29773,x29774,x29775,x29776,x29771,x29777)
% 163.96/163.67 [2978]P20(x29783,x29784,x29785,x29786,x29787,x29782)+~E(x29781,x29782)+~P20(x29783,x29784,x29785,x29786,x29787,x29781)
% 163.96/163.67 [2979]P21(x29792,x29793,x29794)+~E(x29791,x29792)+~P21(x29791,x29793,x29794)
% 163.96/163.67 [2980]P21(x29803,x29802,x29804)+~E(x29801,x29802)+~P21(x29803,x29801,x29804)
% 163.96/163.67 [2981]P21(x29813,x29814,x29812)+~E(x29811,x29812)+~P21(x29813,x29814,x29811)
% 163.96/163.67 [2982]~P130(x29821)+P130(x29822)+~E(x29821,x29822)
% 163.96/163.67 [2983]~P138(x29831)+P138(x29832)+~E(x29831,x29832)
% 163.96/163.67 [2984]~P137(x29841)+P137(x29842)+~E(x29841,x29842)
% 163.96/163.67 [2985]~P144(x29851)+P144(x29852)+~E(x29851,x29852)
% 163.96/163.67 [2986]~P131(x29861)+P131(x29862)+~E(x29861,x29862)
% 163.96/163.67 [2987]~P116(x29871)+P116(x29872)+~E(x29871,x29872)
% 163.96/163.67 [2988]~P91(x29881)+P91(x29882)+~E(x29881,x29882)
% 163.96/163.67 [2989]~P145(x29891)+P145(x29892)+~E(x29891,x29892)
% 163.96/163.67 [2990]~P63(x29901)+P63(x29902)+~E(x29901,x29902)
% 163.96/163.67 [2991]~P104(x29911)+P104(x29912)+~E(x29911,x29912)
% 163.96/163.67 [2992]P12(x29922,x29923)+~E(x29921,x29922)+~P12(x29921,x29923)
% 163.96/163.67 [2993]P12(x29933,x29932)+~E(x29931,x29932)+~P12(x29933,x29931)
% 163.96/163.67 [2994]P13(x29942,x29943,x29944)+~E(x29941,x29942)+~P13(x29941,x29943,x29944)
% 163.96/163.67 [2995]P13(x29953,x29952,x29954)+~E(x29951,x29952)+~P13(x29953,x29951,x29954)
% 163.96/163.67 [2996]P13(x29963,x29964,x29962)+~E(x29961,x29962)+~P13(x29963,x29964,x29961)
% 163.96/163.67 [2997]P57(x29972,x29973,x29974,x29975)+~E(x29971,x29972)+~P57(x29971,x29973,x29974,x29975)
% 163.96/163.67 [2998]P57(x29983,x29982,x29984,x29985)+~E(x29981,x29982)+~P57(x29983,x29981,x29984,x29985)
% 163.96/163.67 [2999]P57(x29993,x29994,x29992,x29995)+~E(x29991,x29992)+~P57(x29993,x29994,x29991,x29995)
% 163.96/163.67 [3000]P57(x30003,x30004,x30005,x30002)+~E(x30001,x30002)+~P57(x30003,x30004,x30005,x30001)
% 163.96/163.67 [3001]~P127(x30011)+P127(x30012)+~E(x30011,x30012)
% 163.96/163.67 [3002]~P105(x30021)+P105(x30022)+~E(x30021,x30022)
% 163.96/163.67 [3003]~P124(x30031)+P124(x30032)+~E(x30031,x30032)
% 163.96/163.67 [3004]P29(x30042,x30043,x30044)+~E(x30041,x30042)+~P29(x30041,x30043,x30044)
% 163.96/163.67 [3005]P29(x30053,x30052,x30054)+~E(x30051,x30052)+~P29(x30053,x30051,x30054)
% 163.96/163.67 [3006]P29(x30063,x30064,x30062)+~E(x30061,x30062)+~P29(x30063,x30064,x30061)
% 163.96/163.67 [3007]~P92(x30071)+P92(x30072)+~E(x30071,x30072)
% 163.96/163.67 [3008]P26(x30082,x30083)+~E(x30081,x30082)+~P26(x30081,x30083)
% 163.96/163.67 [3009]P26(x30093,x30092)+~E(x30091,x30092)+~P26(x30093,x30091)
% 163.96/163.67 [3010]P19(x30102,x30103,x30104,x30105,x30106,x30107)+~E(x30101,x30102)+~P19(x30101,x30103,x30104,x30105,x30106,x30107)
% 163.96/163.67 [3011]P19(x30113,x30112,x30114,x30115,x30116,x30117)+~E(x30111,x30112)+~P19(x30113,x30111,x30114,x30115,x30116,x30117)
% 163.96/163.67 [3012]P19(x30123,x30124,x30122,x30125,x30126,x30127)+~E(x30121,x30122)+~P19(x30123,x30124,x30121,x30125,x30126,x30127)
% 163.96/163.67 [3013]P19(x30133,x30134,x30135,x30132,x30136,x30137)+~E(x30131,x30132)+~P19(x30133,x30134,x30135,x30131,x30136,x30137)
% 163.96/163.67 [3014]P19(x30143,x30144,x30145,x30146,x30142,x30147)+~E(x30141,x30142)+~P19(x30143,x30144,x30145,x30146,x30141,x30147)
% 163.96/163.67 [3015]P19(x30153,x30154,x30155,x30156,x30157,x30152)+~E(x30151,x30152)+~P19(x30153,x30154,x30155,x30156,x30157,x30151)
% 163.96/163.67 [3016]P47(x30162,x30163)+~E(x30161,x30162)+~P47(x30161,x30163)
% 163.96/163.67 [3017]P47(x30173,x30172)+~E(x30171,x30172)+~P47(x30173,x30171)
% 163.96/163.67 [3018]~P43(x30181)+P43(x30182)+~E(x30181,x30182)
% 163.96/163.67 [3019]~P106(x30191)+P106(x30192)+~E(x30191,x30192)
% 163.96/163.67 [3020]P45(x30202,x30203,x30204)+~E(x30201,x30202)+~P45(x30201,x30203,x30204)
% 163.96/163.67 [3021]P45(x30213,x30212,x30214)+~E(x30211,x30212)+~P45(x30213,x30211,x30214)
% 163.96/163.67 [3022]P45(x30223,x30224,x30222)+~E(x30221,x30222)+~P45(x30223,x30224,x30221)
% 163.96/163.67 [3023]P7(x30232,x30233,x30234,x30235,x30236)+~E(x30231,x30232)+~P7(x30231,x30233,x30234,x30235,x30236)
% 163.96/163.67 [3024]P7(x30243,x30242,x30244,x30245,x30246)+~E(x30241,x30242)+~P7(x30243,x30241,x30244,x30245,x30246)
% 163.96/163.67 [3025]P7(x30253,x30254,x30252,x30255,x30256)+~E(x30251,x30252)+~P7(x30253,x30254,x30251,x30255,x30256)
% 163.96/163.67 [3026]P7(x30263,x30264,x30265,x30262,x30266)+~E(x30261,x30262)+~P7(x30263,x30264,x30265,x30261,x30266)
% 163.96/163.67 [3027]P7(x30273,x30274,x30275,x30276,x30272)+~E(x30271,x30272)+~P7(x30273,x30274,x30275,x30276,x30271)
% 163.96/163.67 [3028]P42(x30282,x30283)+~E(x30281,x30282)+~P42(x30281,x30283)
% 163.96/163.67 [3029]P42(x30293,x30292)+~E(x30291,x30292)+~P42(x30293,x30291)
% 163.96/163.67 [3030]~P93(x30301)+P93(x30302)+~E(x30301,x30302)
% 163.96/163.67 [3031]~P119(x30311)+P119(x30312)+~E(x30311,x30312)
% 163.96/163.67 [3032]P44(x30322,x30323)+~E(x30321,x30322)+~P44(x30321,x30323)
% 163.96/163.67 [3033]P44(x30333,x30332)+~E(x30331,x30332)+~P44(x30333,x30331)
% 163.96/163.67 [3034]~P75(x30341)+P75(x30342)+~E(x30341,x30342)
% 163.96/163.67 [3035]~P133(x30351)+P133(x30352)+~E(x30351,x30352)
% 163.96/163.67 [3036]~P121(x30361)+P121(x30362)+~E(x30361,x30362)
% 163.96/163.67 [3037]P40(x30372,x30373,x30374,x30375)+~E(x30371,x30372)+~P40(x30371,x30373,x30374,x30375)
% 163.96/163.67 [3038]P40(x30383,x30382,x30384,x30385)+~E(x30381,x30382)+~P40(x30383,x30381,x30384,x30385)
% 163.96/163.67 [3039]P40(x30393,x30394,x30392,x30395)+~E(x30391,x30392)+~P40(x30393,x30394,x30391,x30395)
% 163.96/163.67 [3040]P40(x30403,x30404,x30405,x30402)+~E(x30401,x30402)+~P40(x30403,x30404,x30405,x30401)
% 163.96/163.67 [3041]~P134(x30411)+P134(x30412)+~E(x30411,x30412)
% 163.96/163.67 [3042]~P135(x30421)+P135(x30422)+~E(x30421,x30422)
% 163.96/163.67 [3043]P6(x30432,x30433,x30434)+~E(x30431,x30432)+~P6(x30431,x30433,x30434)
% 163.96/163.67 [3044]P6(x30443,x30442,x30444)+~E(x30441,x30442)+~P6(x30443,x30441,x30444)
% 163.96/163.67 [3045]P6(x30453,x30454,x30452)+~E(x30451,x30452)+~P6(x30453,x30454,x30451)
% 163.96/163.67 [3046]~P125(x30461)+P125(x30462)+~E(x30461,x30462)
% 163.96/163.67 [3047]P46(x30472,x30473,x30474)+~E(x30471,x30472)+~P46(x30471,x30473,x30474)
% 163.96/163.67 [3048]P46(x30483,x30482,x30484)+~E(x30481,x30482)+~P46(x30483,x30481,x30484)
% 163.96/163.67 [3049]P46(x30493,x30494,x30492)+~E(x30491,x30492)+~P46(x30493,x30494,x30491)
% 163.96/163.67 [3050]P25(x30502,x30503,x30504)+~E(x30501,x30502)+~P25(x30501,x30503,x30504)
% 163.96/163.67 [3051]P25(x30513,x30512,x30514)+~E(x30511,x30512)+~P25(x30513,x30511,x30514)
% 163.96/163.67 [3052]P25(x30523,x30524,x30522)+~E(x30521,x30522)+~P25(x30523,x30524,x30521)
% 163.96/163.67
% 163.96/163.67 %-------------------------------------------
% 164.08/163.70 cnf(10414,plain,
% 164.08/163.70 (~E(f316(a102,x104141),x104141)),
% 164.08/163.70 inference(rename_variables,[],[4589])).
% 164.08/163.70 cnf(10424,plain,
% 164.08/163.70 (~E(f316(a102,x104241),x104241)),
% 164.08/163.70 inference(rename_variables,[],[4589])).
% 164.08/163.70 cnf(10437,plain,
% 164.08/163.70 (~E(f316(a102,x104371),x104371)),
% 164.08/163.70 inference(rename_variables,[],[4589])).
% 164.08/163.70 cnf(10442,plain,
% 164.08/163.70 (~P107(f316(f316(f162(x104421),f103(x104421)),x104422))),
% 164.08/163.70 inference(rename_variables,[],[4630])).
% 164.08/163.70 cnf(10445,plain,
% 164.08/163.70 (~P107(f316(f316(f162(x104451),f103(x104451)),x104452))),
% 164.08/163.70 inference(rename_variables,[],[4630])).
% 164.08/163.70 cnf(10448,plain,
% 164.08/163.70 (~E(f316(a102,x104481),x104481)),
% 164.08/163.70 inference(rename_variables,[],[4589])).
% 164.08/163.70 cnf(10451,plain,
% 164.08/163.70 (~E(f316(a102,x104511),x104511)),
% 164.08/163.70 inference(rename_variables,[],[4589])).
% 164.08/163.70 cnf(10454,plain,
% 164.08/163.70 (~P107(f316(f316(f225(a898),x104541),f2(a898)))),
% 164.08/163.70 inference(rename_variables,[],[4626])).
% 164.08/163.70 cnf(10457,plain,
% 164.08/163.70 (~P107(f316(f316(f225(a898),x104571),f2(a898)))),
% 164.08/163.70 inference(rename_variables,[],[4626])).
% 164.08/163.70 cnf(10470,plain,
% 164.08/163.70 (~P107(f316(f178(f905(x104701,a895)),x104702))),
% 164.08/163.70 inference(scs_inference,[],[4589,10414,10424,10437,10448,3244,3284,3345,3280,3292,3431,4626,10454,4623,4597,4630,10442,4628,3424,4615,4647,4661,4687,4742,4746,4770,4785,4792,4794,4830,4835,4864,4870,4956,4982,4983,4998,5024,5052,5053,5076,5077,5091,5095,5120,5126])).
% 164.08/163.70 cnf(10474,plain,
% 164.08/163.70 (~P107(f316(f316(f224(a898),f316(a102,x104741)),x104741))),
% 164.08/163.70 inference(rename_variables,[],[4631])).
% 164.08/163.70 cnf(10477,plain,
% 164.08/163.70 (~E(f316(f316(f141(x104771),x104772),x104773),x104773)),
% 164.08/163.70 inference(rename_variables,[],[4602])).
% 164.08/163.70 cnf(10483,plain,
% 164.08/163.70 (~P107(f316(f316(f225(a898),x104831),f2(a898)))),
% 164.08/163.70 inference(rename_variables,[],[4626])).
% 164.08/163.70 cnf(10486,plain,
% 164.08/163.70 (E(f316(f273(x104861,x104861),f252(x104861,x104862)),x104862)),
% 164.08/163.70 inference(rename_variables,[],[3408])).
% 164.08/163.70 cnf(10489,plain,
% 164.08/163.70 (E(f316(f273(x104891,x104891),f252(x104891,x104892)),x104892)),
% 164.08/163.70 inference(rename_variables,[],[3408])).
% 164.08/163.70 cnf(10494,plain,
% 164.08/163.70 (~P107(f316(f316(f225(a898),x104941),x104941))),
% 164.08/163.70 inference(rename_variables,[],[4622])).
% 164.08/163.70 cnf(10496,plain,
% 164.08/163.70 (~P107(f316(a183,a77))),
% 164.08/163.70 inference(scs_inference,[],[4589,10414,10424,10437,10448,3244,3408,10486,3284,3345,3280,3307,3292,4602,3431,4626,10454,10457,4623,4597,4630,10442,4622,4631,4628,3424,4615,4647,4661,4687,4742,4746,4770,4785,4792,4794,4830,4835,4864,4870,4956,4982,4983,4998,5024,5052,5053,5076,5077,5091,5095,5120,5126,5142,5146,5147,5148,5153,5154,5177,5202,5204])).
% 164.08/163.70 cnf(10499,plain,
% 164.08/163.70 (~P107(f316(f316(f225(a898),f316(f316(f74(a898),x104991),x104992)),x104992))),
% 164.08/163.70 inference(rename_variables,[],[4645])).
% 164.08/163.70 cnf(10502,plain,
% 164.08/163.70 (~P107(f316(f316(f225(a898),f316(f316(f74(a898),x105021),x105022)),x105022))),
% 164.08/163.70 inference(rename_variables,[],[4645])).
% 164.08/163.70 cnf(10509,plain,
% 164.08/163.70 (~E(x105091,f316(a102,x105091))),
% 164.08/163.70 inference(scs_inference,[],[4589,10414,10424,10437,10448,3244,3408,10486,3284,3345,3280,3307,3292,4602,3514,3431,4626,10454,10457,4623,4597,4630,10442,4622,4631,4255,4628,3424,4615,4647,4645,10499,4661,4687,4742,4746,4770,4785,4792,4794,4830,4835,4864,4870,4956,4982,4983,4998,5024,5052,5053,5076,5077,5091,5095,5120,5126,5142,5146,5147,5148,5153,5154,5177,5202,5204,5205,5215,5220,5226,5262])).
% 164.08/163.70 cnf(10523,plain,
% 164.08/163.70 (~P107(f316(f316(f225(a898),x105231),x105231))),
% 164.08/163.70 inference(rename_variables,[],[4622])).
% 164.08/163.70 cnf(10526,plain,
% 164.08/163.70 (P107(f316(f316(f224(a898),f38(a898,x105261,x105262)),x105261))),
% 164.08/163.70 inference(rename_variables,[],[3896])).
% 164.08/163.70 cnf(10547,plain,
% 164.08/163.70 (E(f316(f28(a898),f316(f271(a898),x105471)),x105471)),
% 164.08/163.70 inference(rename_variables,[],[3343])).
% 164.08/163.70 cnf(10555,plain,
% 164.08/163.70 (~E(f316(a102,x105551),x105551)),
% 164.08/163.70 inference(rename_variables,[],[4589])).
% 164.08/163.70 cnf(10558,plain,
% 164.08/163.70 (~E(f316(a102,x105581),x105581)),
% 164.08/163.70 inference(rename_variables,[],[4589])).
% 164.08/163.70 cnf(10561,plain,
% 164.08/163.70 (~E(f316(a102,x105611),x105611)),
% 164.08/163.70 inference(rename_variables,[],[4589])).
% 164.08/163.70 cnf(10563,plain,
% 164.08/163.70 (P107(f316(a183,a87))),
% 164.08/163.70 inference(scs_inference,[],[4589,10414,10424,10437,10448,10451,10555,10558,3244,3408,10486,3284,3345,3280,3307,3292,3378,4602,3343,4650,3363,3514,3431,4626,10454,10457,4021,3450,4623,4597,4630,10442,4622,10494,10523,3539,3957,3896,4631,10474,4255,4628,4614,3424,4615,4647,4645,10499,4661,4687,4742,4746,4770,4785,4792,4794,4830,4835,4864,4870,4956,4982,4983,4998,5024,5052,5053,5076,5077,5091,5095,5120,5126,5142,5146,5147,5148,5153,5154,5177,5202,5204,5205,5215,5220,5226,5262,5263,5271,5279,5283,5285,5299,5302,5308,5313,5314,5327,5333,5336,5337,5341,5369,5384,5393,5395,5396,5399,5400,5401])).
% 164.08/163.70 cnf(10566,plain,
% 164.08/163.70 (P107(f316(f316(f225(a898),x105661),f316(a102,x105661)))),
% 164.08/163.70 inference(rename_variables,[],[3514])).
% 164.08/163.70 cnf(10575,plain,
% 164.08/163.70 (P107(f316(f316(f224(a898),x105751),x105751))),
% 164.08/163.70 inference(rename_variables,[],[3447])).
% 164.08/163.70 cnf(10582,plain,
% 164.08/163.70 (E(f316(f273(x105821,x105821),f252(x105821,x105822)),x105822)),
% 164.08/163.70 inference(rename_variables,[],[3408])).
% 164.08/163.70 cnf(10585,plain,
% 164.08/163.70 (E(f316(f273(x105851,x105851),f252(x105851,x105852)),x105852)),
% 164.08/163.70 inference(rename_variables,[],[3408])).
% 164.08/163.70 cnf(10602,plain,
% 164.08/163.70 (P107(f316(f316(f224(a1),x106021),x106021))),
% 164.08/163.70 inference(rename_variables,[],[3448])).
% 164.08/163.70 cnf(10607,plain,
% 164.08/163.70 (~P107(f316(f316(f225(a898),x106071),f2(a898)))),
% 164.08/163.70 inference(rename_variables,[],[4626])).
% 164.08/163.70 cnf(10610,plain,
% 164.08/163.70 (P107(f316(f316(f224(f905(x106101,a895)),x106102),f231(f905(x106101,a895))))),
% 164.08/163.70 inference(rename_variables,[],[3822])).
% 164.08/163.70 cnf(10615,plain,
% 164.08/163.70 (~P107(f316(f316(f162(x106151),f103(x106151)),x106152))),
% 164.08/163.70 inference(rename_variables,[],[4630])).
% 164.08/163.70 cnf(10621,plain,
% 164.08/163.70 (E(f316(f316(f74(a898),x106211),f322(x106211,x106211)),x106211)),
% 164.08/163.70 inference(scs_inference,[],[4589,10414,10424,10437,10448,10451,10555,10558,3244,3408,10486,10489,10582,3284,3345,3280,3307,3292,3378,4602,3343,4214,4650,3363,3514,10566,3431,4626,10454,10457,10483,3878,4021,3476,3450,4623,4597,4630,10442,10445,4164,3822,3447,10575,3448,4622,10494,10523,3539,3957,3896,10526,4631,10474,4255,4628,4614,3424,4615,4647,3919,4645,10499,4661,4687,4742,4746,4770,4785,4792,4794,4830,4835,4864,4870,4956,4982,4983,4998,5024,5052,5053,5076,5077,5091,5095,5120,5126,5142,5146,5147,5148,5153,5154,5177,5202,5204,5205,5215,5220,5226,5262,5263,5271,5279,5283,5285,5299,5302,5308,5313,5314,5327,5333,5336,5337,5341,5369,5384,5393,5395,5396,5399,5400,5401,5411,5413,5419,5420,5421,5427,5431,5432,5433,5441,5445,5446,5452,5465,5473,5486,5488,5496,5498,5499,5502,5506,5533,5547,5548])).
% 164.08/163.70 cnf(10644,plain,
% 164.08/163.70 (~E(f316(f316(f141(x106441),x106442),x106443),x106443)),
% 164.08/163.70 inference(rename_variables,[],[4602])).
% 164.08/163.70 cnf(10647,plain,
% 164.08/163.70 (~E(f316(a102,x106471),f2(a898))),
% 164.08/163.70 inference(rename_variables,[],[4595])).
% 164.08/163.70 cnf(10658,plain,
% 164.08/163.70 (P107(f316(f316(f224(a1),x106581),x106581))),
% 164.08/163.70 inference(rename_variables,[],[3448])).
% 164.08/163.70 cnf(10663,plain,
% 164.08/163.70 (~E(f316(a102,x106631),x106631)),
% 164.08/163.70 inference(rename_variables,[],[4589])).
% 164.08/163.70 cnf(10666,plain,
% 164.08/163.70 (~P107(f316(f316(f178(f905(x106661,f905(x106662,a895))),x106663),x106664))),
% 164.08/163.70 inference(rename_variables,[],[4648])).
% 164.08/163.70 cnf(10673,plain,
% 164.08/163.70 (P107(f316(f316(f224(a898),x106731),x106731))),
% 164.08/163.70 inference(rename_variables,[],[3447])).
% 164.08/163.70 cnf(10686,plain,
% 164.08/163.70 (P107(f316(f316(f225(a898),x106861),f316(a102,x106861)))),
% 164.08/163.70 inference(rename_variables,[],[3514])).
% 164.08/163.70 cnf(10707,plain,
% 164.08/163.70 (P107(f316(f316(f224(f905(x107071,a895)),x107072),f231(f905(x107071,a895))))),
% 164.08/163.70 inference(rename_variables,[],[3822])).
% 164.08/163.70 cnf(10710,plain,
% 164.08/163.70 (~P107(f316(f316(f162(x107101),f103(x107101)),x107102))),
% 164.08/163.70 inference(rename_variables,[],[4630])).
% 164.08/163.70 cnf(10729,plain,
% 164.08/163.70 (~P107(f316(f316(f162(x107291),f103(x107291)),x107292))),
% 164.08/163.70 inference(rename_variables,[],[4630])).
% 164.08/163.70 cnf(10736,plain,
% 164.08/163.70 (~P107(f316(f316(f162(x107361),f103(x107361)),x107362))),
% 164.08/163.70 inference(rename_variables,[],[4630])).
% 164.08/163.70 cnf(10744,plain,
% 164.08/163.70 (E(f316(f316(f233(a898),f316(f93(a898),a87)),x107441),f316(f316(f233(a898),f2(a898)),x107441))),
% 164.08/163.70 inference(scs_inference,[],[4589,10414,10424,10437,10448,10451,10555,10558,10561,4595,3244,3408,10486,10489,10582,3284,3345,3280,3307,3292,3910,3378,4602,10477,3343,4214,4650,3363,3804,3514,10566,10686,3431,4626,10454,10457,10483,10607,4638,3878,4021,3474,3476,3450,4623,4597,4630,10442,10445,10615,10710,10729,4164,3822,10610,3447,10575,10673,3448,10602,4622,10494,10523,3539,3957,3896,10526,4631,10474,4255,4628,4614,3424,3428,4616,4615,4647,4648,3919,4645,10499,4661,4687,4742,4746,4770,4785,4792,4794,4830,4835,4864,4870,4956,4982,4983,4998,5024,5052,5053,5076,5077,5091,5095,5120,5126,5142,5146,5147,5148,5153,5154,5177,5202,5204,5205,5215,5220,5226,5262,5263,5271,5279,5283,5285,5299,5302,5308,5313,5314,5327,5333,5336,5337,5341,5369,5384,5393,5395,5396,5399,5400,5401,5411,5413,5419,5420,5421,5427,5431,5432,5433,5441,5445,5446,5452,5465,5473,5486,5488,5496,5498,5499,5502,5506,5533,5547,5548,5563,5575,5597,5603,5627,5628,5631,5650,5658,5659,5664,5665,5675,5677,5690,5694,5703,5704,5706,5707,5723,5728,5737,5738,5749,5756,5770,5774,5777,5783,5784,5785,5788,5793,5829,5830,5833,5835,5837,5839,5840,5841,5843,5845,5847,5852,5859,5874,5888,5895,5896,5908,5919,5920,5927,5931])).
% 164.08/163.70 cnf(10747,plain,
% 164.08/163.70 (~E(f316(a102,x107471),f2(a898))),
% 164.08/163.70 inference(rename_variables,[],[4595])).
% 164.08/163.70 cnf(10752,plain,
% 164.08/163.70 (P107(f316(f316(f318(x107521),x107522),f231(f905(x107521,a895))))),
% 164.08/163.70 inference(rename_variables,[],[3597])).
% 164.08/163.70 cnf(10756,plain,
% 164.08/163.70 (P107(f316(f316(f225(a898),f2(a898)),f316(a94,f72(a1))))),
% 164.08/163.70 inference(scs_inference,[],[4589,10414,10424,10437,10448,10451,10555,10558,10561,4595,10647,3244,3408,10486,10489,10582,3284,3345,3280,3307,3292,3910,3378,4602,10477,3343,4214,4650,3363,3804,3514,10566,10686,3431,4626,10454,10457,10483,10607,4638,3878,4021,3474,3476,3450,4623,4597,4630,10442,10445,10615,10710,10729,4164,3822,10610,3447,10575,10673,3448,10602,4622,10494,10523,3597,3539,3957,3896,10526,4631,10474,4255,4628,4614,3424,3428,4616,4615,4647,4648,3919,4645,10499,4661,4687,4742,4746,4770,4785,4792,4794,4830,4835,4864,4870,4956,4982,4983,4998,5024,5052,5053,5076,5077,5091,5095,5120,5126,5142,5146,5147,5148,5153,5154,5177,5202,5204,5205,5215,5220,5226,5262,5263,5271,5279,5283,5285,5299,5302,5308,5313,5314,5327,5333,5336,5337,5341,5369,5384,5393,5395,5396,5399,5400,5401,5411,5413,5419,5420,5421,5427,5431,5432,5433,5441,5445,5446,5452,5465,5473,5486,5488,5496,5498,5499,5502,5506,5533,5547,5548,5563,5575,5597,5603,5627,5628,5631,5650,5658,5659,5664,5665,5675,5677,5690,5694,5703,5704,5706,5707,5723,5728,5737,5738,5749,5756,5770,5774,5777,5783,5784,5785,5788,5793,5829,5830,5833,5835,5837,5839,5840,5841,5843,5845,5847,5852,5859,5874,5888,5895,5896,5908,5919,5920,5927,5931,5933,5938,5946,5984,5998])).
% 164.08/163.70 cnf(10759,plain,
% 164.08/163.70 (~P107(f316(f316(f162(x107591),f103(x107591)),x107592))),
% 164.08/163.70 inference(rename_variables,[],[4630])).
% 164.08/163.70 cnf(10764,plain,
% 164.08/163.70 (P107(f316(f316(f225(a898),x107641),f316(a102,x107641)))),
% 164.08/163.70 inference(rename_variables,[],[3514])).
% 164.08/163.70 cnf(10767,plain,
% 164.08/163.70 (~P107(f316(f316(f162(x107671),f103(x107671)),x107672))),
% 164.08/163.70 inference(rename_variables,[],[4630])).
% 164.08/163.70 cnf(10770,plain,
% 164.08/163.70 (~P107(f316(f316(f162(x107701),f103(x107701)),x107702))),
% 164.08/163.70 inference(rename_variables,[],[4630])).
% 164.08/163.70 cnf(10773,plain,
% 164.08/163.70 (~P107(f316(f55(x107731,x107732,f178(f905(x107731,a895))),x107733))),
% 164.08/163.70 inference(rename_variables,[],[4644])).
% 164.08/163.70 cnf(10776,plain,
% 164.08/163.70 (~P107(f316(f55(x107761,x107762,f178(f905(x107761,a895))),x107763))),
% 164.08/163.70 inference(rename_variables,[],[4644])).
% 164.08/163.70 cnf(10779,plain,
% 164.08/163.70 (~P107(f316(f316(f178(f905(x107791,f905(x107792,a895))),x107793),x107794))),
% 164.08/163.70 inference(rename_variables,[],[4648])).
% 164.08/163.70 cnf(10782,plain,
% 164.08/163.70 (~P107(f316(f316(f225(a898),x107821),f2(a898)))),
% 164.08/163.70 inference(rename_variables,[],[4626])).
% 164.08/163.70 cnf(10787,plain,
% 164.08/163.70 (~P107(f316(f316(f162(x107871),f103(x107871)),x107872))),
% 164.08/163.70 inference(rename_variables,[],[4630])).
% 164.08/163.70 cnf(10797,plain,
% 164.08/163.70 (~E(f316(f158(x107971),f316(a102,f316(f316(f124(x107971),f316(f158(x107971),x107972)),f316(f316(f141(x107971),x107973),f103(x107971))))),f316(f316(f141(x107971),x107973),x107972))),
% 164.08/163.70 inference(scs_inference,[],[4589,10414,10424,10437,10448,10451,10555,10558,10561,10663,4595,10647,3244,3408,10486,10489,10582,3284,3345,3280,3307,3292,3910,3378,4602,10477,3343,4214,4650,3363,3804,3514,10566,10686,10764,3431,4626,10454,10457,10483,10607,4638,3878,4021,3474,3476,3450,4623,4597,4630,10442,10445,10615,10710,10729,10736,10759,10767,10770,4164,3822,10610,3447,10575,10673,3448,10602,4622,10494,10523,3597,3539,3957,3896,10526,4631,10474,4255,4628,4614,3424,3428,4616,4615,4644,10773,4647,4648,10666,3919,4645,10499,4661,4687,4742,4746,4770,4785,4792,4794,4830,4835,4864,4870,4956,4982,4983,4998,5024,5052,5053,5076,5077,5091,5095,5120,5126,5142,5146,5147,5148,5153,5154,5177,5202,5204,5205,5215,5220,5226,5262,5263,5271,5279,5283,5285,5299,5302,5308,5313,5314,5327,5333,5336,5337,5341,5369,5384,5393,5395,5396,5399,5400,5401,5411,5413,5419,5420,5421,5427,5431,5432,5433,5441,5445,5446,5452,5465,5473,5486,5488,5496,5498,5499,5502,5506,5533,5547,5548,5563,5575,5597,5603,5627,5628,5631,5650,5658,5659,5664,5665,5675,5677,5690,5694,5703,5704,5706,5707,5723,5728,5737,5738,5749,5756,5770,5774,5777,5783,5784,5785,5788,5793,5829,5830,5833,5835,5837,5839,5840,5841,5843,5845,5847,5852,5859,5874,5888,5895,5896,5908,5919,5920,5927,5931,5933,5938,5946,5984,5998,6007,6010,6019,6023,6024,6025,6026,6027,6032,6037,6047,6053,6071,6075,6084,6113])).
% 164.08/163.70 cnf(10798,plain,
% 164.08/163.70 (~E(f316(a102,x107981),x107981)),
% 164.08/163.70 inference(rename_variables,[],[4589])).
% 164.08/163.70 cnf(10816,plain,
% 164.08/163.70 (P107(f316(f316(f225(a89),f316(a3,x108161)),f316(a3,f316(a102,x108161))))),
% 164.08/163.70 inference(scs_inference,[],[4589,10414,10424,10437,10448,10451,10555,10558,10561,10663,4595,10647,3244,3408,10486,10489,10582,3284,3345,3280,3307,3292,3910,3378,4602,10477,3343,4214,4650,3363,3804,3514,10566,10686,10764,3891,3431,4626,10454,10457,10483,10607,4638,3878,4021,3474,3476,3450,4623,4597,4630,10442,10445,10615,10710,10729,10736,10759,10767,10770,4164,3822,10610,3447,10575,10673,3448,10602,4622,10494,10523,3597,3539,3957,3896,10526,4631,10474,4255,4628,4614,3424,3428,4616,4615,4644,10773,4647,4648,10666,3919,4645,10499,4661,4687,4742,4746,4770,4785,4792,4794,4830,4835,4864,4870,4956,4982,4983,4998,5024,5052,5053,5076,5077,5091,5095,5120,5126,5142,5146,5147,5148,5153,5154,5177,5202,5204,5205,5215,5220,5226,5262,5263,5271,5279,5283,5285,5299,5302,5308,5313,5314,5327,5333,5336,5337,5341,5369,5384,5393,5395,5396,5399,5400,5401,5411,5413,5419,5420,5421,5427,5431,5432,5433,5441,5445,5446,5452,5465,5473,5486,5488,5496,5498,5499,5502,5506,5533,5547,5548,5563,5575,5597,5603,5627,5628,5631,5650,5658,5659,5664,5665,5675,5677,5690,5694,5703,5704,5706,5707,5723,5728,5737,5738,5749,5756,5770,5774,5777,5783,5784,5785,5788,5793,5829,5830,5833,5835,5837,5839,5840,5841,5843,5845,5847,5852,5859,5874,5888,5895,5896,5908,5919,5920,5927,5931,5933,5938,5946,5984,5998,6007,6010,6019,6023,6024,6025,6026,6027,6032,6037,6047,6053,6071,6075,6084,6113,6129,6155,6172,6173,6176,6191,6193,6195,6197])).
% 164.08/163.70 cnf(10823,plain,
% 164.08/163.70 (P107(f316(f316(f224(a898),x108231),x108231))),
% 164.08/163.70 inference(rename_variables,[],[3447])).
% 164.08/163.70 cnf(10826,plain,
% 164.08/163.70 (P107(f316(f316(f224(a898),x108261),f316(f316(f75(a898),x108261),x108261)))),
% 164.08/163.70 inference(rename_variables,[],[3704])).
% 164.08/163.70 cnf(10828,plain,
% 164.08/163.70 (P107(f316(f316(f225(a898),x108281),f316(f316(f75(a898),f316(a102,x108281)),f316(a102,x108281))))),
% 164.08/163.70 inference(scs_inference,[],[4589,10414,10424,10437,10448,10451,10555,10558,10561,10663,4595,10647,3244,3408,10486,10489,10582,3284,3345,3280,3307,3292,3910,3378,4602,10477,3343,4214,4650,3363,3804,3514,10566,10686,10764,3891,3431,4626,10454,10457,10483,10607,4638,3878,4021,3474,3476,3450,4623,4597,4630,10442,10445,10615,10710,10729,10736,10759,10767,10770,4164,3822,10610,3447,10575,10673,3448,10602,4622,10494,10523,3597,3539,3957,3896,10526,4631,10474,4255,4628,4614,3424,3428,4616,4615,4644,10773,3704,10826,4647,4648,10666,3919,4645,10499,4661,4687,4742,4746,4770,4785,4792,4794,4830,4835,4864,4870,4956,4982,4983,4998,5024,5052,5053,5076,5077,5091,5095,5120,5126,5142,5146,5147,5148,5153,5154,5177,5202,5204,5205,5215,5220,5226,5262,5263,5271,5279,5283,5285,5299,5302,5308,5313,5314,5327,5333,5336,5337,5341,5369,5384,5393,5395,5396,5399,5400,5401,5411,5413,5419,5420,5421,5427,5431,5432,5433,5441,5445,5446,5452,5465,5473,5486,5488,5496,5498,5499,5502,5506,5533,5547,5548,5563,5575,5597,5603,5627,5628,5631,5650,5658,5659,5664,5665,5675,5677,5690,5694,5703,5704,5706,5707,5723,5728,5737,5738,5749,5756,5770,5774,5777,5783,5784,5785,5788,5793,5829,5830,5833,5835,5837,5839,5840,5841,5843,5845,5847,5852,5859,5874,5888,5895,5896,5908,5919,5920,5927,5931,5933,5938,5946,5984,5998,6007,6010,6019,6023,6024,6025,6026,6027,6032,6037,6047,6053,6071,6075,6084,6113,6129,6155,6172,6173,6176,6191,6193,6195,6197,6212,6213,6216,6218,6221])).
% 164.08/163.70 cnf(10829,plain,
% 164.08/163.70 (P107(f316(f316(f224(a898),x108291),f316(f316(f75(a898),x108291),x108291)))),
% 164.08/163.70 inference(rename_variables,[],[3704])).
% 164.08/163.70 cnf(10832,plain,
% 164.08/163.70 (P107(f316(f316(f225(a898),x108321),f316(a102,f316(f316(f74(a898),x108322),x108321))))),
% 164.08/163.70 inference(rename_variables,[],[3889])).
% 164.08/163.70 cnf(10837,plain,
% 164.08/163.70 (P107(f316(f316(f225(a898),x108371),f316(a102,x108371)))),
% 164.08/163.70 inference(rename_variables,[],[3514])).
% 164.08/163.70 cnf(10840,plain,
% 164.08/163.70 (P107(f316(f316(f225(a898),x108401),f316(a102,x108401)))),
% 164.08/163.70 inference(rename_variables,[],[3514])).
% 164.08/163.70 cnf(10843,plain,
% 164.08/163.70 (P107(f316(f316(f318(x108431),x108432),f231(f905(x108431,a895))))),
% 164.08/163.70 inference(rename_variables,[],[3597])).
% 164.08/163.70 cnf(10862,plain,
% 164.08/163.70 (~P107(f316(f316(f224(a898),f316(a102,x108621)),x108621))),
% 164.08/163.70 inference(rename_variables,[],[4631])).
% 164.08/163.70 cnf(10865,plain,
% 164.08/163.70 (~P107(f316(f316(f224(a898),f316(a102,x108651)),x108651))),
% 164.08/163.70 inference(rename_variables,[],[4631])).
% 164.08/163.70 cnf(10868,plain,
% 164.08/163.70 (~P107(f316(f316(f225(a898),f316(f316(f74(a898),x108681),x108682)),x108682))),
% 164.08/163.70 inference(rename_variables,[],[4645])).
% 164.08/163.70 cnf(10871,plain,
% 164.08/163.70 (~P107(f316(f316(f225(a898),f316(f316(f74(a898),x108711),x108712)),x108712))),
% 164.08/163.70 inference(rename_variables,[],[4645])).
% 164.08/163.70 cnf(10874,plain,
% 164.08/163.70 (P107(f316(f231(f905(x108741,a895)),x108742))),
% 164.08/163.70 inference(rename_variables,[],[3507])).
% 164.08/163.70 cnf(10877,plain,
% 164.08/163.70 (E(f316(f28(a898),f316(f271(a898),x108771)),x108771)),
% 164.08/163.70 inference(rename_variables,[],[3343])).
% 164.08/163.70 cnf(10880,plain,
% 164.08/163.70 (P107(f316(f316(f225(a898),x108801),f316(a102,x108801)))),
% 164.08/163.70 inference(rename_variables,[],[3514])).
% 164.08/163.70 cnf(10887,plain,
% 164.08/163.70 (P107(f316(f316(f224(a898),x108871),x108871))),
% 164.08/163.70 inference(rename_variables,[],[3447])).
% 164.08/163.70 cnf(10892,plain,
% 164.08/163.70 (P107(f316(f316(f224(a1),x108921),x108921))),
% 164.08/163.70 inference(rename_variables,[],[3448])).
% 164.08/163.70 cnf(10901,plain,
% 164.08/163.70 (E(f316(f273(x109011,x109011),f252(x109011,x109012)),x109012)),
% 164.08/163.70 inference(rename_variables,[],[3408])).
% 164.08/163.70 cnf(10904,plain,
% 164.08/163.70 (P107(f316(f231(f905(x109041,a895)),x109042))),
% 164.08/163.70 inference(rename_variables,[],[3507])).
% 164.08/163.70 cnf(10907,plain,
% 164.08/163.70 (P107(f316(f316(f224(a898),f2(a898)),x109071))),
% 164.08/163.70 inference(rename_variables,[],[3468])).
% 164.08/163.70 cnf(10909,plain,
% 164.08/163.70 (P30(x109091,f316(f224(f905(x109092,a895)),f178(f905(x109092,a895))),x109093)),
% 164.08/163.70 inference(scs_inference,[],[4589,10414,10424,10437,10448,10451,10555,10558,10561,10663,4595,10647,3244,3408,10486,10489,10582,10585,3284,3345,3280,3307,3292,3910,3378,4602,10477,3343,10547,4214,4650,3363,3804,3741,3514,10566,10686,10764,10837,10840,3891,3431,4626,10454,10457,10483,10607,4638,3878,3650,4021,3474,3476,3450,4623,4597,4630,10442,10445,10615,10710,10729,10736,10759,10767,10770,4164,3822,10610,3447,10575,10673,10823,3448,10602,10658,4622,10494,10523,3597,10752,3507,10874,3539,3957,3896,10526,4631,10474,10862,3468,4255,4628,4614,3424,3428,4616,4615,4644,10773,4649,3888,3704,10826,4647,4648,10666,3919,4645,10499,10502,10868,3889,4661,4687,4742,4746,4770,4785,4792,4794,4830,4835,4864,4870,4956,4982,4983,4998,5024,5052,5053,5076,5077,5091,5095,5120,5126,5142,5146,5147,5148,5153,5154,5177,5202,5204,5205,5215,5220,5226,5262,5263,5271,5279,5283,5285,5299,5302,5308,5313,5314,5327,5333,5336,5337,5341,5369,5384,5393,5395,5396,5399,5400,5401,5411,5413,5419,5420,5421,5427,5431,5432,5433,5441,5445,5446,5452,5465,5473,5486,5488,5496,5498,5499,5502,5506,5533,5547,5548,5563,5575,5597,5603,5627,5628,5631,5650,5658,5659,5664,5665,5675,5677,5690,5694,5703,5704,5706,5707,5723,5728,5737,5738,5749,5756,5770,5774,5777,5783,5784,5785,5788,5793,5829,5830,5833,5835,5837,5839,5840,5841,5843,5845,5847,5852,5859,5874,5888,5895,5896,5908,5919,5920,5927,5931,5933,5938,5946,5984,5998,6007,6010,6019,6023,6024,6025,6026,6027,6032,6037,6047,6053,6071,6075,6084,6113,6129,6155,6172,6173,6176,6191,6193,6195,6197,6212,6213,6216,6218,6221,6222,6239,6247,6248,6249,6251,6253,6290,6291,6296,6299,6305,6309,6343,6345,6347,6349,6359,6361,6364,6370,6372,6377,6380,6388,6396,6398,6399,6406,6429,6430,6431])).
% 164.08/163.70 cnf(10910,plain,
% 164.08/163.70 (P107(f316(f316(f224(f905(x109101,a895)),f178(f905(x109101,a895))),x109102))),
% 164.10/163.70 inference(rename_variables,[],[3888])).
% 164.10/163.70 cnf(10913,plain,
% 164.10/163.70 (P107(f316(f231(f905(x109131,a895)),x109132))),
% 164.10/163.70 inference(rename_variables,[],[3507])).
% 164.10/163.70 cnf(10916,plain,
% 164.10/163.70 (P107(f316(f231(f905(x109161,a895)),x109162))),
% 164.10/163.70 inference(rename_variables,[],[3507])).
% 164.10/163.70 cnf(10919,plain,
% 164.10/163.70 (P107(f316(f231(f905(x109191,a895)),x109192))),
% 164.10/163.70 inference(rename_variables,[],[3507])).
% 164.10/163.70 cnf(10921,plain,
% 164.10/163.70 (~P107(f316(f316(f224(a898),f316(f316(f75(a898),f316(a102,x109211)),f316(a102,x109211))),x109211))),
% 164.10/163.70 inference(scs_inference,[],[4589,10414,10424,10437,10448,10451,10555,10558,10561,10663,4595,10647,3244,3408,10486,10489,10582,10585,3284,3345,3280,3307,3292,3910,3378,4602,10477,3343,10547,4214,4650,3363,3804,3741,3514,10566,10686,10764,10837,10840,3891,3431,4626,10454,10457,10483,10607,4638,3878,3650,4021,3474,3476,3450,4623,4597,4630,10442,10445,10615,10710,10729,10736,10759,10767,10770,4164,3822,10610,3447,10575,10673,10823,3448,10602,10658,4622,10494,10523,3597,10752,3507,10874,10904,10913,10916,3539,3957,3896,10526,4631,10474,10862,3468,4255,4628,4614,3424,3428,4616,4615,4644,10773,4649,3888,3704,10826,10829,4647,4648,10666,3919,4645,10499,10502,10868,3889,4661,4687,4742,4746,4770,4785,4792,4794,4830,4835,4864,4870,4956,4982,4983,4998,5024,5052,5053,5076,5077,5091,5095,5120,5126,5142,5146,5147,5148,5153,5154,5177,5202,5204,5205,5215,5220,5226,5262,5263,5271,5279,5283,5285,5299,5302,5308,5313,5314,5327,5333,5336,5337,5341,5369,5384,5393,5395,5396,5399,5400,5401,5411,5413,5419,5420,5421,5427,5431,5432,5433,5441,5445,5446,5452,5465,5473,5486,5488,5496,5498,5499,5502,5506,5533,5547,5548,5563,5575,5597,5603,5627,5628,5631,5650,5658,5659,5664,5665,5675,5677,5690,5694,5703,5704,5706,5707,5723,5728,5737,5738,5749,5756,5770,5774,5777,5783,5784,5785,5788,5793,5829,5830,5833,5835,5837,5839,5840,5841,5843,5845,5847,5852,5859,5874,5888,5895,5896,5908,5919,5920,5927,5931,5933,5938,5946,5984,5998,6007,6010,6019,6023,6024,6025,6026,6027,6032,6037,6047,6053,6071,6075,6084,6113,6129,6155,6172,6173,6176,6191,6193,6195,6197,6212,6213,6216,6218,6221,6222,6239,6247,6248,6249,6251,6253,6290,6291,6296,6299,6305,6309,6343,6345,6347,6349,6359,6361,6364,6370,6372,6377,6380,6388,6396,6398,6399,6406,6429,6430,6431,6432,6433,6435,6441])).
% 164.10/163.70 cnf(10922,plain,
% 164.10/163.70 (P107(f316(f316(f224(a898),x109221),f316(f316(f75(a898),x109221),x109221)))),
% 164.10/163.70 inference(rename_variables,[],[3704])).
% 164.10/163.70 cnf(10926,plain,
% 164.10/163.70 (E(f316(f158(x109261),f163(x109262,f316(f316(f124(x109261),f316(f158(x109261),x109263)),f316(f316(f141(x109261),x109264),f103(x109261))),f103(x109262))),f316(f316(f141(x109261),x109264),x109263))),
% 164.10/163.70 inference(scs_inference,[],[4589,10414,10424,10437,10448,10451,10555,10558,10561,10663,4595,10647,3244,3408,10486,10489,10582,10585,3385,3284,3345,3280,3307,3292,3910,3378,4602,10477,3343,10547,4214,4650,3363,3804,3741,3514,10566,10686,10764,10837,10840,3891,3431,4626,10454,10457,10483,10607,4638,3878,3650,4021,3474,3476,3450,4623,4597,4630,10442,10445,10615,10710,10729,10736,10759,10767,10770,4164,3822,10610,3447,10575,10673,10823,3448,10602,10658,4622,10494,10523,3597,10752,3507,10874,10904,10913,10916,3539,3957,3896,10526,4631,10474,10862,3468,4255,4628,4614,3424,3428,4616,4615,4644,10773,4649,3888,3704,10826,10829,4647,4648,10666,3919,4645,10499,10502,10868,3889,4661,4687,4742,4746,4770,4785,4792,4794,4830,4835,4864,4870,4956,4982,4983,4998,5024,5052,5053,5076,5077,5091,5095,5120,5126,5142,5146,5147,5148,5153,5154,5177,5202,5204,5205,5215,5220,5226,5262,5263,5271,5279,5283,5285,5299,5302,5308,5313,5314,5327,5333,5336,5337,5341,5369,5384,5393,5395,5396,5399,5400,5401,5411,5413,5419,5420,5421,5427,5431,5432,5433,5441,5445,5446,5452,5465,5473,5486,5488,5496,5498,5499,5502,5506,5533,5547,5548,5563,5575,5597,5603,5627,5628,5631,5650,5658,5659,5664,5665,5675,5677,5690,5694,5703,5704,5706,5707,5723,5728,5737,5738,5749,5756,5770,5774,5777,5783,5784,5785,5788,5793,5829,5830,5833,5835,5837,5839,5840,5841,5843,5845,5847,5852,5859,5874,5888,5895,5896,5908,5919,5920,5927,5931,5933,5938,5946,5984,5998,6007,6010,6019,6023,6024,6025,6026,6027,6032,6037,6047,6053,6071,6075,6084,6113,6129,6155,6172,6173,6176,6191,6193,6195,6197,6212,6213,6216,6218,6221,6222,6239,6247,6248,6249,6251,6253,6290,6291,6296,6299,6305,6309,6343,6345,6347,6349,6359,6361,6364,6370,6372,6377,6380,6388,6396,6398,6399,6406,6429,6430,6431,6432,6433,6435,6441,6446,6480])).
% 164.10/163.70 cnf(10931,plain,
% 164.10/163.70 (~P107(f316(f316(f224(a898),f316(a102,f316(a102,f316(f316(f74(a898),x109311),x109312)))),f316(a102,x109312)))),
% 164.10/163.70 inference(scs_inference,[],[4589,10414,10424,10437,10448,10451,10555,10558,10561,10663,4595,10647,3244,3408,10486,10489,10582,10585,3385,3284,3345,3280,3307,3292,3910,3378,4602,10477,3343,10547,4214,4650,3363,3804,3741,3514,10566,10686,10764,10837,10840,10880,3891,3431,4626,10454,10457,10483,10607,4638,3878,3650,4021,3474,3476,3450,4623,4597,4630,10442,10445,10615,10710,10729,10736,10759,10767,10770,4164,3822,10610,3447,10575,10673,10823,3448,10602,10658,4622,10494,10523,3597,10752,3507,10874,10904,10913,10916,3539,3957,3896,10526,4631,10474,10862,3468,4255,4628,4614,3424,3428,4616,4615,4644,10773,4649,3888,3704,10826,10829,4647,4648,10666,3919,4645,10499,10502,10868,3889,4661,4687,4742,4746,4770,4785,4792,4794,4830,4835,4864,4870,4956,4982,4983,4998,5024,5052,5053,5076,5077,5091,5095,5120,5126,5142,5146,5147,5148,5153,5154,5177,5202,5204,5205,5215,5220,5226,5262,5263,5271,5279,5283,5285,5299,5302,5308,5313,5314,5327,5333,5336,5337,5341,5369,5384,5393,5395,5396,5399,5400,5401,5411,5413,5419,5420,5421,5427,5431,5432,5433,5441,5445,5446,5452,5465,5473,5486,5488,5496,5498,5499,5502,5506,5533,5547,5548,5563,5575,5597,5603,5627,5628,5631,5650,5658,5659,5664,5665,5675,5677,5690,5694,5703,5704,5706,5707,5723,5728,5737,5738,5749,5756,5770,5774,5777,5783,5784,5785,5788,5793,5829,5830,5833,5835,5837,5839,5840,5841,5843,5845,5847,5852,5859,5874,5888,5895,5896,5908,5919,5920,5927,5931,5933,5938,5946,5984,5998,6007,6010,6019,6023,6024,6025,6026,6027,6032,6037,6047,6053,6071,6075,6084,6113,6129,6155,6172,6173,6176,6191,6193,6195,6197,6212,6213,6216,6218,6221,6222,6239,6247,6248,6249,6251,6253,6290,6291,6296,6299,6305,6309,6343,6345,6347,6349,6359,6361,6364,6370,6372,6377,6380,6388,6396,6398,6399,6406,6429,6430,6431,6432,6433,6435,6441,6446,6480,6481,6484])).
% 164.10/163.70 cnf(10939,plain,
% 164.10/163.70 (~P107(f316(f316(f225(a89),f316(a3,x109391)),f316(a3,f2(a898))))),
% 164.10/163.70 inference(scs_inference,[],[4589,10414,10424,10437,10448,10451,10555,10558,10561,10663,4595,10647,3244,3408,10486,10489,10582,10585,3385,3284,3345,3280,3307,3292,3910,3378,4602,10477,3343,10547,4214,4650,3363,3804,3741,3514,10566,10686,10764,10837,10840,10880,3891,3431,4626,10454,10457,10483,10607,10782,4638,3878,3650,4021,3474,3476,3450,4623,4597,4630,10442,10445,10615,10710,10729,10736,10759,10767,10770,4164,3822,10610,3447,10575,10673,10823,3448,10602,10658,4622,10494,10523,3597,10752,3507,10874,10904,10913,10916,3539,3957,3896,10526,4631,10474,10862,10865,3468,4255,4628,4614,3424,3428,4616,4615,4644,10773,4649,3888,3704,10826,10829,4647,4648,10666,3919,4645,10499,10502,10868,3889,4661,4687,4742,4746,4770,4785,4792,4794,4830,4835,4864,4870,4956,4982,4983,4998,5024,5052,5053,5076,5077,5091,5095,5120,5126,5142,5146,5147,5148,5153,5154,5177,5202,5204,5205,5215,5220,5226,5262,5263,5271,5279,5283,5285,5299,5302,5308,5313,5314,5327,5333,5336,5337,5341,5369,5384,5393,5395,5396,5399,5400,5401,5411,5413,5419,5420,5421,5427,5431,5432,5433,5441,5445,5446,5452,5465,5473,5486,5488,5496,5498,5499,5502,5506,5533,5547,5548,5563,5575,5597,5603,5627,5628,5631,5650,5658,5659,5664,5665,5675,5677,5690,5694,5703,5704,5706,5707,5723,5728,5737,5738,5749,5756,5770,5774,5777,5783,5784,5785,5788,5793,5829,5830,5833,5835,5837,5839,5840,5841,5843,5845,5847,5852,5859,5874,5888,5895,5896,5908,5919,5920,5927,5931,5933,5938,5946,5984,5998,6007,6010,6019,6023,6024,6025,6026,6027,6032,6037,6047,6053,6071,6075,6084,6113,6129,6155,6172,6173,6176,6191,6193,6195,6197,6212,6213,6216,6218,6221,6222,6239,6247,6248,6249,6251,6253,6290,6291,6296,6299,6305,6309,6343,6345,6347,6349,6359,6361,6364,6370,6372,6377,6380,6388,6396,6398,6399,6406,6429,6430,6431,6432,6433,6435,6441,6446,6480,6481,6484,6485,6486,6488,6489])).
% 164.10/163.70 cnf(10962,plain,
% 164.10/163.70 (P107(f316(f316(f224(a898),x109621),x109621))),
% 164.10/163.70 inference(rename_variables,[],[3447])).
% 164.10/163.70 cnf(10973,plain,
% 164.10/163.70 (~P107(f316(f316(f162(x109731),f103(x109731)),x109732))),
% 164.10/163.70 inference(rename_variables,[],[4630])).
% 164.10/163.70 cnf(10980,plain,
% 164.10/163.70 (P107(f316(f316(f225(a898),x109801),f316(a102,x109801)))),
% 164.10/163.70 inference(rename_variables,[],[3514])).
% 164.10/163.70 cnf(10982,plain,
% 164.10/163.70 (P107(f316(f316(f225(a1),f316(f316(f23(a1),x109821),f72(a1))),x109821))),
% 164.10/163.70 inference(scs_inference,[],[4589,10414,10424,10437,10448,10451,10555,10558,10561,10663,4595,10647,3244,3408,10486,10489,10582,10585,3385,3284,3345,3280,3307,3292,3910,3378,4602,10477,3343,10547,4214,4073,4650,3363,3804,3741,3514,10566,10686,10764,10837,10840,10880,3891,3431,4626,10454,10457,10483,10607,10782,4638,3878,3650,4021,3474,3476,3450,4623,4597,4630,10442,10445,10615,10710,10729,10736,10759,10767,10770,10787,4164,3822,10610,3447,10575,10673,10823,10887,10962,3448,10602,10658,10892,4622,10494,10523,3597,10752,4634,3507,10874,10904,10913,10916,3539,3957,3896,10526,4631,10474,10862,10865,3468,4255,4628,4614,4617,3424,3428,4616,4615,4644,10773,4649,3888,3704,10826,10829,4647,4648,10666,3919,4645,10499,10502,10868,3889,4661,4687,4742,4746,4770,4785,4792,4794,4830,4835,4864,4870,4956,4982,4983,4998,5024,5052,5053,5076,5077,5091,5095,5120,5126,5142,5146,5147,5148,5153,5154,5177,5202,5204,5205,5215,5220,5226,5262,5263,5271,5279,5283,5285,5299,5302,5308,5313,5314,5327,5333,5336,5337,5341,5369,5384,5393,5395,5396,5399,5400,5401,5411,5413,5419,5420,5421,5427,5431,5432,5433,5441,5445,5446,5452,5465,5473,5486,5488,5496,5498,5499,5502,5506,5533,5547,5548,5563,5575,5597,5603,5627,5628,5631,5650,5658,5659,5664,5665,5675,5677,5690,5694,5703,5704,5706,5707,5723,5728,5737,5738,5749,5756,5770,5774,5777,5783,5784,5785,5788,5793,5829,5830,5833,5835,5837,5839,5840,5841,5843,5845,5847,5852,5859,5874,5888,5895,5896,5908,5919,5920,5927,5931,5933,5938,5946,5984,5998,6007,6010,6019,6023,6024,6025,6026,6027,6032,6037,6047,6053,6071,6075,6084,6113,6129,6155,6172,6173,6176,6191,6193,6195,6197,6212,6213,6216,6218,6221,6222,6239,6247,6248,6249,6251,6253,6290,6291,6296,6299,6305,6309,6343,6345,6347,6349,6359,6361,6364,6370,6372,6377,6380,6388,6396,6398,6399,6406,6429,6430,6431,6432,6433,6435,6441,6446,6480,6481,6484,6485,6486,6488,6489,6490,6491,6498,6533,6534,6543,6564,6565,6589,6591,6603,6604,6610,6640,6642,6657,6698,6700,6701,6757])).
% 164.10/163.70 cnf(10983,plain,
% 164.10/163.70 (P107(f316(f316(f224(a1),x109831),x109831))),
% 164.10/163.70 inference(rename_variables,[],[3448])).
% 164.10/163.70 cnf(10988,plain,
% 164.10/163.70 (~P107(f316(f316(f225(a898),x109881),f2(a898)))),
% 164.10/163.70 inference(rename_variables,[],[4626])).
% 164.10/163.70 cnf(11003,plain,
% 164.10/163.70 (~P107(f316(f316(f225(a898),x110031),f2(a898)))),
% 164.10/163.70 inference(rename_variables,[],[4626])).
% 164.10/163.70 cnf(11006,plain,
% 164.10/163.70 (~P107(f316(f316(f225(f905(x110061,a895)),x110062),f178(f905(x110061,a895))))),
% 164.10/163.70 inference(rename_variables,[],[4642])).
% 164.10/163.70 cnf(11009,plain,
% 164.10/163.70 (P107(f316(f316(f224(a898),x110091),x110091))),
% 164.10/163.70 inference(rename_variables,[],[3447])).
% 164.10/163.70 cnf(11012,plain,
% 164.10/163.70 (P107(f316(f316(f224(a898),x110121),x110121))),
% 164.10/163.70 inference(rename_variables,[],[3447])).
% 164.10/163.70 cnf(11026,plain,
% 164.10/163.70 (~P107(f316(f316(f225(a898),x110261),f316(f316(f23(a898),x110261),x110262)))),
% 164.10/163.70 inference(scs_inference,[],[4589,10414,10424,10437,10448,10451,10555,10558,10561,10663,4595,10647,3244,3408,10486,10489,10582,10585,3385,3284,3345,3280,3307,3292,3910,3378,4602,10477,3343,10547,4214,4073,4650,3363,3804,3741,3514,10566,10686,10764,10837,10840,10880,3891,3431,4626,10454,10457,10483,10607,10782,10988,4638,3878,3650,4021,3474,3476,3450,4623,4597,4630,10442,10445,10615,10710,10729,10736,10759,10767,10770,10787,4176,4164,3822,10610,4642,3447,10575,10673,10823,10887,10962,11009,11012,3448,10602,10658,10892,3449,4622,10494,10523,3597,10752,4634,3507,10874,10904,10913,10916,3539,3957,3896,10526,4631,10474,10862,10865,3468,4255,4628,4614,4617,3424,3428,4616,4615,4644,10773,4649,3888,3704,10826,10829,4647,4648,10666,3919,4645,10499,10502,10868,3889,4661,4687,4742,4746,4770,4785,4792,4794,4830,4835,4864,4870,4956,4982,4983,4998,5024,5052,5053,5076,5077,5091,5095,5120,5126,5142,5146,5147,5148,5153,5154,5177,5202,5204,5205,5215,5220,5226,5262,5263,5271,5279,5283,5285,5299,5302,5308,5313,5314,5327,5333,5336,5337,5341,5369,5384,5393,5395,5396,5399,5400,5401,5411,5413,5419,5420,5421,5427,5431,5432,5433,5441,5445,5446,5452,5465,5473,5486,5488,5496,5498,5499,5502,5506,5533,5547,5548,5563,5575,5597,5603,5627,5628,5631,5650,5658,5659,5664,5665,5675,5677,5690,5694,5703,5704,5706,5707,5723,5728,5737,5738,5749,5756,5770,5774,5777,5783,5784,5785,5788,5793,5829,5830,5833,5835,5837,5839,5840,5841,5843,5845,5847,5852,5859,5874,5888,5895,5896,5908,5919,5920,5927,5931,5933,5938,5946,5984,5998,6007,6010,6019,6023,6024,6025,6026,6027,6032,6037,6047,6053,6071,6075,6084,6113,6129,6155,6172,6173,6176,6191,6193,6195,6197,6212,6213,6216,6218,6221,6222,6239,6247,6248,6249,6251,6253,6290,6291,6296,6299,6305,6309,6343,6345,6347,6349,6359,6361,6364,6370,6372,6377,6380,6388,6396,6398,6399,6406,6429,6430,6431,6432,6433,6435,6441,6446,6480,6481,6484,6485,6486,6488,6489,6490,6491,6498,6533,6534,6543,6564,6565,6589,6591,6603,6604,6610,6640,6642,6657,6698,6700,6701,6757,6780,6823,6838,6846,6855,6856,6857,6858,6878,6879,6886,6898,6901,6903,6905,6906,6907,6909,6923])).
% 164.10/163.70 cnf(11027,plain,
% 164.10/163.70 (~P107(f316(f316(f225(a898),x110271),x110271))),
% 164.10/163.70 inference(rename_variables,[],[4622])).
% 164.10/163.70 cnf(11036,plain,
% 164.10/163.70 (~P107(f316(f316(f318(x110361),x110362),f178(f905(x110361,a895))))),
% 164.10/163.70 inference(rename_variables,[],[4634])).
% 164.10/163.70 cnf(11043,plain,
% 164.10/163.70 (P107(f316(f316(f224(a898),x110431),x110431))),
% 164.10/163.70 inference(rename_variables,[],[3447])).
% 164.10/163.70 cnf(11046,plain,
% 164.10/163.70 (P107(f316(f316(f224(f905(x110461,a895)),f316(f299(x110462,x110461,x110463),f316(f300(x110462,x110461,x110463),x110464))),x110464))),
% 164.10/163.70 inference(rename_variables,[],[4310])).
% 164.10/163.70 cnf(11055,plain,
% 164.10/163.70 (P107(f316(f316(f224(f905(x110551,a895)),f316(f162(x110551),f316(f126(x110551,x110552),x110553))),f316(f162(x110551),x110553)))),
% 164.10/163.70 inference(rename_variables,[],[4082])).
% 164.10/163.70 cnf(11058,plain,
% 164.10/163.70 (E(f316(f299(x110581,x110581,f5(x110581)),x110582),x110582)),
% 164.10/163.70 inference(rename_variables,[],[3505])).
% 164.10/163.70 cnf(11063,plain,
% 164.10/163.70 (P107(f316(f316(f224(a898),f2(a898)),x110631))),
% 164.10/163.70 inference(rename_variables,[],[3468])).
% 164.10/163.70 cnf(11066,plain,
% 164.10/163.70 (P107(f316(f316(f224(a898),x110661),x110661))),
% 164.10/163.70 inference(rename_variables,[],[3447])).
% 164.10/163.70 cnf(11069,plain,
% 164.10/163.70 (~P107(f316(f316(f225(a898),x110691),x110691))),
% 164.10/163.70 inference(rename_variables,[],[4622])).
% 164.10/163.70 cnf(11071,plain,
% 164.10/163.70 (~P32(x110711,f178(f905(x110712,a895)),x110713)),
% 164.10/163.70 inference(scs_inference,[],[4589,10414,10424,10437,10448,10451,10555,10558,10561,10663,4595,10647,3244,3408,10486,10489,10582,10585,3385,3284,3345,3280,3307,3292,3910,3505,3378,4602,10477,3343,10547,4214,4073,4650,3363,3641,3804,3741,3514,10566,10686,10764,10837,10840,10880,10980,3891,3431,4626,10454,10457,10483,10607,10782,10988,4638,3878,3650,4021,3474,3476,3450,4623,4597,4630,10442,10445,10615,10710,10729,10736,10759,10767,10770,10787,4176,4082,4164,3822,10610,4642,3447,10575,10673,10823,10887,10962,11009,11012,11043,3448,10602,10658,10892,3449,4622,10494,10523,11027,3597,10752,4634,3507,10874,10904,10913,10916,3539,3957,3896,10526,4631,10474,10862,10865,3468,10907,4255,4628,4614,4617,3424,3428,4616,4615,4644,10773,4649,3888,3704,10826,10829,4647,4648,10666,4310,3919,4645,10499,10502,10868,3889,4661,4687,4742,4746,4770,4785,4792,4794,4830,4835,4864,4870,4956,4982,4983,4998,5024,5052,5053,5076,5077,5091,5095,5120,5126,5142,5146,5147,5148,5153,5154,5177,5202,5204,5205,5215,5220,5226,5262,5263,5271,5279,5283,5285,5299,5302,5308,5313,5314,5327,5333,5336,5337,5341,5369,5384,5393,5395,5396,5399,5400,5401,5411,5413,5419,5420,5421,5427,5431,5432,5433,5441,5445,5446,5452,5465,5473,5486,5488,5496,5498,5499,5502,5506,5533,5547,5548,5563,5575,5597,5603,5627,5628,5631,5650,5658,5659,5664,5665,5675,5677,5690,5694,5703,5704,5706,5707,5723,5728,5737,5738,5749,5756,5770,5774,5777,5783,5784,5785,5788,5793,5829,5830,5833,5835,5837,5839,5840,5841,5843,5845,5847,5852,5859,5874,5888,5895,5896,5908,5919,5920,5927,5931,5933,5938,5946,5984,5998,6007,6010,6019,6023,6024,6025,6026,6027,6032,6037,6047,6053,6071,6075,6084,6113,6129,6155,6172,6173,6176,6191,6193,6195,6197,6212,6213,6216,6218,6221,6222,6239,6247,6248,6249,6251,6253,6290,6291,6296,6299,6305,6309,6343,6345,6347,6349,6359,6361,6364,6370,6372,6377,6380,6388,6396,6398,6399,6406,6429,6430,6431,6432,6433,6435,6441,6446,6480,6481,6484,6485,6486,6488,6489,6490,6491,6498,6533,6534,6543,6564,6565,6589,6591,6603,6604,6610,6640,6642,6657,6698,6700,6701,6757,6780,6823,6838,6846,6855,6856,6857,6858,6878,6879,6886,6898,6901,6903,6905,6906,6907,6909,6923,6934,6935,6936,6949,7003,7014,7016,7038,7039,7075,7082,7089,7119,7150,7206,7235,7292,7313])).
% 164.10/163.70 cnf(11078,plain,
% 164.10/163.70 (~P107(f316(f316(f225(a898),x110781),x110781))),
% 164.10/163.70 inference(rename_variables,[],[4622])).
% 164.10/163.70 cnf(11089,plain,
% 164.10/163.70 (P107(f316(f316(f224(a898),x110891),f316(f316(f75(a898),x110891),x110891)))),
% 164.10/163.70 inference(rename_variables,[],[3704])).
% 164.10/163.70 cnf(11095,plain,
% 164.10/163.70 (P107(f316(f316(f225(a898),x110951),f316(a102,f316(f316(f74(a898),x110952),x110951))))),
% 164.10/163.70 inference(rename_variables,[],[3889])).
% 164.10/163.70 cnf(11102,plain,
% 164.10/163.70 (P107(f316(f316(f224(a898),x111021),x111021))),
% 164.10/163.70 inference(rename_variables,[],[3447])).
% 164.10/163.70 cnf(11105,plain,
% 164.10/163.70 (P107(f316(f316(f224(a1),x111051),x111051))),
% 164.10/163.70 inference(rename_variables,[],[3448])).
% 164.10/163.70 cnf(11108,plain,
% 164.10/163.70 (~E(f316(a102,x111081),x111081)),
% 164.10/163.70 inference(rename_variables,[],[4589])).
% 164.10/163.70 cnf(11113,plain,
% 164.10/163.70 (P107(f316(f316(f318(x111131),x111132),f231(f905(x111131,a895))))),
% 164.10/163.70 inference(rename_variables,[],[3597])).
% 164.10/163.70 cnf(11118,plain,
% 164.10/163.70 (~P107(f316(f316(f225(a898),x111181),f2(a898)))),
% 164.10/163.70 inference(rename_variables,[],[4626])).
% 164.10/163.70 cnf(11133,plain,
% 164.10/163.70 (P107(f316(f316(f224(a898),f2(a898)),x111331))),
% 164.10/163.70 inference(rename_variables,[],[3468])).
% 164.10/163.70 cnf(11140,plain,
% 164.10/163.70 (P107(f316(f316(f224(a898),x111401),x111401))),
% 164.10/163.70 inference(rename_variables,[],[3447])).
% 164.10/163.70 cnf(11149,plain,
% 164.10/163.70 (~P107(f316(f316(f318(x111491),x111492),f178(f905(x111491,a895))))),
% 164.10/163.70 inference(rename_variables,[],[4634])).
% 164.10/163.70 cnf(11151,plain,
% 164.10/163.70 (P107(f316(f316(f224(f905(x111511,a895)),f31(f905(x111511,a895),f316(f297(x111511),x111512))),x111512))),
% 164.10/163.70 inference(scs_inference,[],[4589,10414,10424,10437,10448,10451,10555,10558,10561,10663,10798,4595,10647,3244,3408,10486,10489,10582,10585,3385,3284,3345,3280,3307,3292,3910,3505,3378,4602,10477,3343,10547,4214,4073,4650,3363,3641,3804,3741,3953,3514,10566,10686,10764,10837,10840,10880,10980,3891,3431,4626,10454,10457,10483,10607,10782,10988,11003,4638,3878,3650,4021,3474,3476,3450,4623,4597,4630,10442,10445,10615,10710,10729,10736,10759,10767,10770,10787,4176,4082,11055,3805,4164,3822,10610,4642,3447,10575,10673,10823,10887,10962,11009,11012,11043,11066,11102,3448,10602,10658,10892,10983,3449,4622,10494,10523,11027,11069,3597,10752,10843,11113,4634,11036,3507,10874,10904,10913,10916,3539,3957,3896,10526,4631,10474,10862,10865,3468,10907,11063,4255,4628,3965,4614,4617,3424,3428,4616,4615,4644,10773,4649,3888,3704,10826,10829,10922,11089,4647,4648,10666,4310,3919,4645,10499,10502,10868,3889,10832,4661,4687,4742,4746,4770,4785,4792,4794,4830,4835,4864,4870,4956,4982,4983,4998,5024,5052,5053,5076,5077,5091,5095,5120,5126,5142,5146,5147,5148,5153,5154,5177,5202,5204,5205,5215,5220,5226,5262,5263,5271,5279,5283,5285,5299,5302,5308,5313,5314,5327,5333,5336,5337,5341,5369,5384,5393,5395,5396,5399,5400,5401,5411,5413,5419,5420,5421,5427,5431,5432,5433,5441,5445,5446,5452,5465,5473,5486,5488,5496,5498,5499,5502,5506,5533,5547,5548,5563,5575,5597,5603,5627,5628,5631,5650,5658,5659,5664,5665,5675,5677,5690,5694,5703,5704,5706,5707,5723,5728,5737,5738,5749,5756,5770,5774,5777,5783,5784,5785,5788,5793,5829,5830,5833,5835,5837,5839,5840,5841,5843,5845,5847,5852,5859,5874,5888,5895,5896,5908,5919,5920,5927,5931,5933,5938,5946,5984,5998,6007,6010,6019,6023,6024,6025,6026,6027,6032,6037,6047,6053,6071,6075,6084,6113,6129,6155,6172,6173,6176,6191,6193,6195,6197,6212,6213,6216,6218,6221,6222,6239,6247,6248,6249,6251,6253,6290,6291,6296,6299,6305,6309,6343,6345,6347,6349,6359,6361,6364,6370,6372,6377,6380,6388,6396,6398,6399,6406,6429,6430,6431,6432,6433,6435,6441,6446,6480,6481,6484,6485,6486,6488,6489,6490,6491,6498,6533,6534,6543,6564,6565,6589,6591,6603,6604,6610,6640,6642,6657,6698,6700,6701,6757,6780,6823,6838,6846,6855,6856,6857,6858,6878,6879,6886,6898,6901,6903,6905,6906,6907,6909,6923,6934,6935,6936,6949,7003,7014,7016,7038,7039,7075,7082,7089,7119,7150,7206,7235,7292,7313,7322,7325,7385,7395,7457,7459,7473,7482,7483,7484,7501,7505,7507,7554,7564,7567,7582,7629,7631,7634,7678,7679,7697,7767,7785,7809,7833,7845,7859,7870,7881,7882,7908,7910])).
% 164.10/163.70 cnf(11153,plain,
% 164.10/163.70 (E(f316(f316(f91(f905(x111531,a895)),f316(f316(f91(f905(x111531,a895)),x111532),f316(f73(f905(x111531,a895)),x111533))),x111533),f178(f905(x111531,a895)))),
% 164.10/163.70 inference(scs_inference,[],[4589,10414,10424,10437,10448,10451,10555,10558,10561,10663,10798,4595,10647,3244,3408,10486,10489,10582,10585,3385,3284,3345,3280,3307,3292,3910,3505,3378,4602,10477,3343,10547,4214,4073,4650,3363,3641,3804,3741,3953,3514,10566,10686,10764,10837,10840,10880,10980,3891,3431,4626,10454,10457,10483,10607,10782,10988,11003,4638,3878,3650,4021,3474,3476,3450,4623,4597,4630,10442,10445,10615,10710,10729,10736,10759,10767,10770,10787,4176,4082,11055,3805,4164,3822,10610,4642,3447,10575,10673,10823,10887,10962,11009,11012,11043,11066,11102,3448,10602,10658,10892,10983,3449,4622,10494,10523,11027,11069,3597,10752,10843,11113,4634,11036,3507,10874,10904,10913,10916,3539,3957,3896,10526,4631,10474,10862,10865,3468,10907,11063,4255,4628,3965,4614,4617,3424,3428,4616,4615,4644,10773,4649,3888,3704,10826,10829,10922,11089,4647,4648,10666,4310,3919,4645,10499,10502,10868,3889,10832,4150,4661,4687,4742,4746,4770,4785,4792,4794,4830,4835,4864,4870,4956,4982,4983,4998,5024,5052,5053,5076,5077,5091,5095,5120,5126,5142,5146,5147,5148,5153,5154,5177,5202,5204,5205,5215,5220,5226,5262,5263,5271,5279,5283,5285,5299,5302,5308,5313,5314,5327,5333,5336,5337,5341,5369,5384,5393,5395,5396,5399,5400,5401,5411,5413,5419,5420,5421,5427,5431,5432,5433,5441,5445,5446,5452,5465,5473,5486,5488,5496,5498,5499,5502,5506,5533,5547,5548,5563,5575,5597,5603,5627,5628,5631,5650,5658,5659,5664,5665,5675,5677,5690,5694,5703,5704,5706,5707,5723,5728,5737,5738,5749,5756,5770,5774,5777,5783,5784,5785,5788,5793,5829,5830,5833,5835,5837,5839,5840,5841,5843,5845,5847,5852,5859,5874,5888,5895,5896,5908,5919,5920,5927,5931,5933,5938,5946,5984,5998,6007,6010,6019,6023,6024,6025,6026,6027,6032,6037,6047,6053,6071,6075,6084,6113,6129,6155,6172,6173,6176,6191,6193,6195,6197,6212,6213,6216,6218,6221,6222,6239,6247,6248,6249,6251,6253,6290,6291,6296,6299,6305,6309,6343,6345,6347,6349,6359,6361,6364,6370,6372,6377,6380,6388,6396,6398,6399,6406,6429,6430,6431,6432,6433,6435,6441,6446,6480,6481,6484,6485,6486,6488,6489,6490,6491,6498,6533,6534,6543,6564,6565,6589,6591,6603,6604,6610,6640,6642,6657,6698,6700,6701,6757,6780,6823,6838,6846,6855,6856,6857,6858,6878,6879,6886,6898,6901,6903,6905,6906,6907,6909,6923,6934,6935,6936,6949,7003,7014,7016,7038,7039,7075,7082,7089,7119,7150,7206,7235,7292,7313,7322,7325,7385,7395,7457,7459,7473,7482,7483,7484,7501,7505,7507,7554,7564,7567,7582,7629,7631,7634,7678,7679,7697,7767,7785,7809,7833,7845,7859,7870,7881,7882,7908,7910,7912])).
% 164.10/163.70 cnf(11156,plain,
% 164.10/163.70 (P107(f316(f316(f318(f899(x111561)),x111562),f151(x111561,f231(f905(x111561,a895)))))),
% 164.10/163.70 inference(scs_inference,[],[4589,10414,10424,10437,10448,10451,10555,10558,10561,10663,10798,4595,10647,3244,3408,10486,10489,10582,10585,3385,3284,3345,3280,3307,3292,3910,3505,3378,4602,10477,3343,10547,4214,4073,4650,3363,3641,3804,3741,3953,3514,10566,10686,10764,10837,10840,10880,10980,3891,3431,4626,10454,10457,10483,10607,10782,10988,11003,4638,3878,3650,4021,3474,3476,3450,4623,4597,4630,10442,10445,10615,10710,10729,10736,10759,10767,10770,10787,4176,4082,11055,3805,4164,3822,10610,4642,3447,10575,10673,10823,10887,10962,11009,11012,11043,11066,11102,3448,10602,10658,10892,10983,3449,4622,10494,10523,11027,11069,3597,10752,10843,11113,4634,11036,3507,10874,10904,10913,10916,3539,3957,3896,10526,4631,10474,10862,10865,3468,10907,11063,4255,4628,3965,4614,4617,3424,3428,4616,4615,4644,10773,4649,3888,3704,10826,10829,10922,11089,4647,4648,10666,4310,3919,4645,10499,10502,10868,3889,10832,4150,4661,4687,4742,4746,4770,4785,4792,4794,4830,4835,4864,4870,4956,4982,4983,4998,5024,5052,5053,5076,5077,5091,5095,5120,5126,5142,5146,5147,5148,5153,5154,5177,5202,5204,5205,5215,5220,5226,5262,5263,5271,5279,5283,5285,5299,5302,5308,5313,5314,5327,5333,5336,5337,5341,5369,5384,5393,5395,5396,5399,5400,5401,5411,5413,5419,5420,5421,5427,5431,5432,5433,5441,5445,5446,5452,5465,5473,5486,5488,5496,5498,5499,5502,5506,5533,5547,5548,5563,5575,5597,5603,5627,5628,5631,5650,5658,5659,5664,5665,5675,5677,5690,5694,5703,5704,5706,5707,5723,5728,5737,5738,5749,5756,5770,5774,5777,5783,5784,5785,5788,5793,5829,5830,5833,5835,5837,5839,5840,5841,5843,5845,5847,5852,5859,5874,5888,5895,5896,5908,5919,5920,5927,5931,5933,5938,5946,5984,5998,6007,6010,6019,6023,6024,6025,6026,6027,6032,6037,6047,6053,6071,6075,6084,6113,6129,6155,6172,6173,6176,6191,6193,6195,6197,6212,6213,6216,6218,6221,6222,6239,6247,6248,6249,6251,6253,6290,6291,6296,6299,6305,6309,6343,6345,6347,6349,6359,6361,6364,6370,6372,6377,6380,6388,6396,6398,6399,6406,6429,6430,6431,6432,6433,6435,6441,6446,6480,6481,6484,6485,6486,6488,6489,6490,6491,6498,6533,6534,6543,6564,6565,6589,6591,6603,6604,6610,6640,6642,6657,6698,6700,6701,6757,6780,6823,6838,6846,6855,6856,6857,6858,6878,6879,6886,6898,6901,6903,6905,6906,6907,6909,6923,6934,6935,6936,6949,7003,7014,7016,7038,7039,7075,7082,7089,7119,7150,7206,7235,7292,7313,7322,7325,7385,7395,7457,7459,7473,7482,7483,7484,7501,7505,7507,7554,7564,7567,7582,7629,7631,7634,7678,7679,7697,7767,7785,7809,7833,7845,7859,7870,7881,7882,7908,7910,7912,7923])).
% 164.10/163.70 cnf(11157,plain,
% 164.10/163.70 (P107(f316(f316(f318(x111571),x111572),f231(f905(x111571,a895))))),
% 164.10/163.70 inference(rename_variables,[],[3597])).
% 164.10/163.70 cnf(11160,plain,
% 164.10/163.70 (~P107(f316(f316(f318(f904(f899(x111601),f899(x111601))),f316(f316(f241(f899(x111601),f899(x111601)),x111602),f103(x111601))),f135(x111601,x111603)))),
% 164.10/163.70 inference(rename_variables,[],[4650])).
% 164.10/163.70 cnf(11169,plain,
% 164.10/163.70 (~P107(f316(f316(f318(f904(x111691,x111691)),x111692),f252(x111691,f178(f905(x111691,a895)))))),
% 164.10/163.70 inference(scs_inference,[],[4589,10414,10424,10437,10448,10451,10555,10558,10561,10663,10798,4595,10647,3244,3408,10486,10489,10582,10585,3385,3284,3345,3280,3307,3292,3910,3505,3378,4602,10477,3343,10547,4214,4073,4650,3363,3641,3804,3741,3953,3514,10566,10686,10764,10837,10840,10880,10980,3891,3431,4626,10454,10457,10483,10607,10782,10988,11003,4638,3878,3650,4021,3474,3476,3450,4623,4597,4630,10442,10445,10615,10710,10729,10736,10759,10767,10770,10787,4176,4082,11055,3805,4164,3822,10610,4642,3447,10575,10673,10823,10887,10962,11009,11012,11043,11066,11102,3448,10602,10658,10892,10983,3449,4622,10494,10523,11027,11069,3597,10752,10843,11113,4634,11036,11149,3507,10874,10904,10913,10916,3539,3957,3896,10526,4631,10474,10862,10865,3468,10907,11063,4255,4628,3965,4614,4617,3424,3428,4616,4615,4644,10773,4649,3888,3598,3704,10826,10829,10922,11089,4647,4648,10666,4310,3919,4645,10499,10502,10868,3889,10832,4150,4661,4687,4742,4746,4770,4785,4792,4794,4830,4835,4864,4870,4956,4982,4983,4998,5024,5052,5053,5076,5077,5091,5095,5120,5126,5142,5146,5147,5148,5153,5154,5177,5202,5204,5205,5215,5220,5226,5262,5263,5271,5279,5283,5285,5299,5302,5308,5313,5314,5327,5333,5336,5337,5341,5369,5384,5393,5395,5396,5399,5400,5401,5411,5413,5419,5420,5421,5427,5431,5432,5433,5441,5445,5446,5452,5465,5473,5486,5488,5496,5498,5499,5502,5506,5533,5547,5548,5563,5575,5597,5603,5627,5628,5631,5650,5658,5659,5664,5665,5675,5677,5690,5694,5703,5704,5706,5707,5723,5728,5737,5738,5749,5756,5770,5774,5777,5783,5784,5785,5788,5793,5829,5830,5833,5835,5837,5839,5840,5841,5843,5845,5847,5852,5859,5874,5888,5895,5896,5908,5919,5920,5927,5931,5933,5938,5946,5984,5998,6007,6010,6019,6023,6024,6025,6026,6027,6032,6037,6047,6053,6071,6075,6084,6113,6129,6155,6172,6173,6176,6191,6193,6195,6197,6212,6213,6216,6218,6221,6222,6239,6247,6248,6249,6251,6253,6290,6291,6296,6299,6305,6309,6343,6345,6347,6349,6359,6361,6364,6370,6372,6377,6380,6388,6396,6398,6399,6406,6429,6430,6431,6432,6433,6435,6441,6446,6480,6481,6484,6485,6486,6488,6489,6490,6491,6498,6533,6534,6543,6564,6565,6589,6591,6603,6604,6610,6640,6642,6657,6698,6700,6701,6757,6780,6823,6838,6846,6855,6856,6857,6858,6878,6879,6886,6898,6901,6903,6905,6906,6907,6909,6923,6934,6935,6936,6949,7003,7014,7016,7038,7039,7075,7082,7089,7119,7150,7206,7235,7292,7313,7322,7325,7385,7395,7457,7459,7473,7482,7483,7484,7501,7505,7507,7554,7564,7567,7582,7629,7631,7634,7678,7679,7697,7767,7785,7809,7833,7845,7859,7870,7881,7882,7908,7910,7912,7923,7963,7974,7999,8026,8058])).
% 164.10/163.70 cnf(11170,plain,
% 164.10/163.70 (~P107(f316(f316(f318(x111701),x111702),f178(f905(x111701,a895))))),
% 164.10/163.70 inference(rename_variables,[],[4634])).
% 164.10/163.70 cnf(11172,plain,
% 164.10/163.70 (~P107(f316(f316(f318(x111721),x111722),f316(f300(x111721,x111723,x111724),f178(f905(x111723,a895)))))),
% 164.10/163.70 inference(scs_inference,[],[4589,10414,10424,10437,10448,10451,10555,10558,10561,10663,10798,4595,10647,3244,3408,10486,10489,10582,10585,3385,3284,3345,3280,3307,3292,3910,3505,3378,4602,10477,3343,10547,4214,4073,4650,3363,3641,3804,3741,3953,3514,10566,10686,10764,10837,10840,10880,10980,3891,3431,4626,10454,10457,10483,10607,10782,10988,11003,4638,3878,3650,4021,3474,3476,3450,4623,4597,4630,10442,10445,10615,10710,10729,10736,10759,10767,10770,10787,4176,4082,11055,3805,4164,3822,10610,4642,3447,10575,10673,10823,10887,10962,11009,11012,11043,11066,11102,3448,10602,10658,10892,10983,3449,4622,10494,10523,11027,11069,3597,10752,10843,11113,4634,11036,11149,11170,3507,10874,10904,10913,10916,3539,3957,3896,10526,4631,10474,10862,10865,3468,10907,11063,4255,4628,3965,4614,4617,3424,3428,4616,4615,4644,10773,4649,3888,3598,3704,10826,10829,10922,11089,4647,4648,10666,4310,3919,4645,10499,10502,10868,3889,10832,4150,4661,4687,4742,4746,4770,4785,4792,4794,4830,4835,4864,4870,4956,4982,4983,4998,5024,5052,5053,5076,5077,5091,5095,5120,5126,5142,5146,5147,5148,5153,5154,5177,5202,5204,5205,5215,5220,5226,5262,5263,5271,5279,5283,5285,5299,5302,5308,5313,5314,5327,5333,5336,5337,5341,5369,5384,5393,5395,5396,5399,5400,5401,5411,5413,5419,5420,5421,5427,5431,5432,5433,5441,5445,5446,5452,5465,5473,5486,5488,5496,5498,5499,5502,5506,5533,5547,5548,5563,5575,5597,5603,5627,5628,5631,5650,5658,5659,5664,5665,5675,5677,5690,5694,5703,5704,5706,5707,5723,5728,5737,5738,5749,5756,5770,5774,5777,5783,5784,5785,5788,5793,5829,5830,5833,5835,5837,5839,5840,5841,5843,5845,5847,5852,5859,5874,5888,5895,5896,5908,5919,5920,5927,5931,5933,5938,5946,5984,5998,6007,6010,6019,6023,6024,6025,6026,6027,6032,6037,6047,6053,6071,6075,6084,6113,6129,6155,6172,6173,6176,6191,6193,6195,6197,6212,6213,6216,6218,6221,6222,6239,6247,6248,6249,6251,6253,6290,6291,6296,6299,6305,6309,6343,6345,6347,6349,6359,6361,6364,6370,6372,6377,6380,6388,6396,6398,6399,6406,6429,6430,6431,6432,6433,6435,6441,6446,6480,6481,6484,6485,6486,6488,6489,6490,6491,6498,6533,6534,6543,6564,6565,6589,6591,6603,6604,6610,6640,6642,6657,6698,6700,6701,6757,6780,6823,6838,6846,6855,6856,6857,6858,6878,6879,6886,6898,6901,6903,6905,6906,6907,6909,6923,6934,6935,6936,6949,7003,7014,7016,7038,7039,7075,7082,7089,7119,7150,7206,7235,7292,7313,7322,7325,7385,7395,7457,7459,7473,7482,7483,7484,7501,7505,7507,7554,7564,7567,7582,7629,7631,7634,7678,7679,7697,7767,7785,7809,7833,7845,7859,7870,7881,7882,7908,7910,7912,7923,7963,7974,7999,8026,8058,8089])).
% 164.10/163.70 cnf(11173,plain,
% 164.10/163.70 (~P107(f316(f316(f318(x111731),x111732),f178(f905(x111731,a895))))),
% 164.10/163.70 inference(rename_variables,[],[4634])).
% 164.10/163.70 cnf(11176,plain,
% 164.10/163.70 (P107(f316(f316(f224(f905(x111761,a895)),x111762),f316(f316(f298(x111761),x111763),x111762)))),
% 164.10/163.70 inference(rename_variables,[],[3886])).
% 164.10/163.70 cnf(11179,plain,
% 164.10/163.70 (P107(f316(f316(f224(a898),x111791),x111791))),
% 164.10/163.70 inference(rename_variables,[],[3447])).
% 164.10/163.70 cnf(11182,plain,
% 164.10/163.70 (P107(f316(f316(f224(f905(x111821,a895)),x111822),f316(f316(f298(x111821),x111823),x111822)))),
% 164.10/163.70 inference(rename_variables,[],[3886])).
% 164.10/163.70 cnf(11185,plain,
% 164.10/163.70 (E(f316(f299(x111851,x111851,f5(x111851)),x111852),x111852)),
% 164.10/163.70 inference(rename_variables,[],[3505])).
% 164.10/163.70 cnf(11187,plain,
% 164.10/163.70 (P33(x111871,x111872,x111873,f104(x111871,f103(x111871)),f103(x111872))),
% 164.10/163.70 inference(scs_inference,[],[4589,10414,10424,10437,10448,10451,10555,10558,10561,10663,10798,4595,10647,3244,3294,3408,10486,10489,10582,10585,3385,3284,3345,3280,3307,3292,3910,3505,11058,3378,4602,10477,3343,10547,4214,4073,4650,3363,3641,3804,3741,3953,3514,10566,10686,10764,10837,10840,10880,10980,3891,3431,4626,10454,10457,10483,10607,10782,10988,11003,4638,3878,3650,4021,3474,3476,3450,4623,4597,4630,10442,10445,10615,10710,10729,10736,10759,10767,10770,10787,4176,4082,11055,3805,4164,3822,10610,4642,3447,10575,10673,10823,10887,10962,11009,11012,11043,11066,11102,11140,3448,10602,10658,10892,10983,3449,4622,10494,10523,11027,11069,3597,10752,10843,11113,4634,11036,11149,11170,3507,10874,10904,10913,10916,3539,3957,3896,10526,4631,10474,10862,10865,3468,10907,11063,4255,4628,3965,4614,4617,3424,3428,4616,4615,4644,10773,4649,3886,11176,3888,3598,3704,10826,10829,10922,11089,4647,4648,10666,4310,3919,4645,10499,10502,10868,3889,10832,4150,4661,4687,4742,4746,4770,4785,4792,4794,4830,4835,4864,4870,4956,4982,4983,4998,5024,5052,5053,5076,5077,5091,5095,5120,5126,5142,5146,5147,5148,5153,5154,5177,5202,5204,5205,5215,5220,5226,5262,5263,5271,5279,5283,5285,5299,5302,5308,5313,5314,5327,5333,5336,5337,5341,5369,5384,5393,5395,5396,5399,5400,5401,5411,5413,5419,5420,5421,5427,5431,5432,5433,5441,5445,5446,5452,5465,5473,5486,5488,5496,5498,5499,5502,5506,5533,5547,5548,5563,5575,5597,5603,5627,5628,5631,5650,5658,5659,5664,5665,5675,5677,5690,5694,5703,5704,5706,5707,5723,5728,5737,5738,5749,5756,5770,5774,5777,5783,5784,5785,5788,5793,5829,5830,5833,5835,5837,5839,5840,5841,5843,5845,5847,5852,5859,5874,5888,5895,5896,5908,5919,5920,5927,5931,5933,5938,5946,5984,5998,6007,6010,6019,6023,6024,6025,6026,6027,6032,6037,6047,6053,6071,6075,6084,6113,6129,6155,6172,6173,6176,6191,6193,6195,6197,6212,6213,6216,6218,6221,6222,6239,6247,6248,6249,6251,6253,6290,6291,6296,6299,6305,6309,6343,6345,6347,6349,6359,6361,6364,6370,6372,6377,6380,6388,6396,6398,6399,6406,6429,6430,6431,6432,6433,6435,6441,6446,6480,6481,6484,6485,6486,6488,6489,6490,6491,6498,6533,6534,6543,6564,6565,6589,6591,6603,6604,6610,6640,6642,6657,6698,6700,6701,6757,6780,6823,6838,6846,6855,6856,6857,6858,6878,6879,6886,6898,6901,6903,6905,6906,6907,6909,6923,6934,6935,6936,6949,7003,7014,7016,7038,7039,7075,7082,7089,7119,7150,7206,7235,7292,7313,7322,7325,7385,7395,7457,7459,7473,7482,7483,7484,7501,7505,7507,7554,7564,7567,7582,7629,7631,7634,7678,7679,7697,7767,7785,7809,7833,7845,7859,7870,7881,7882,7908,7910,7912,7923,7963,7974,7999,8026,8058,8089,8123,8162,8178,8180,8196])).
% 164.10/163.70 cnf(11200,plain,
% 164.10/163.70 (P107(f316(f316(f224(f905(x112001,a895)),x112002),f316(f316(f298(x112001),x112003),x112002)))),
% 164.10/163.70 inference(rename_variables,[],[3886])).
% 164.10/163.70 cnf(11211,plain,
% 164.10/163.70 (~E(f316(a102,x112111),f2(a898))),
% 164.10/163.70 inference(rename_variables,[],[4595])).
% 164.10/163.70 cnf(11214,plain,
% 164.10/163.70 (~P107(f316(f316(f162(x112141),f103(x112141)),x112142))),
% 164.10/163.70 inference(rename_variables,[],[4630])).
% 164.10/163.70 cnf(11218,plain,
% 164.10/163.70 (~P107(f316(f316(f318(f904(a898,a898)),f316(f316(f241(a898,a898),f316(a102,x112181)),x112181)),f296(a898,a306)))),
% 164.10/163.70 inference(scs_inference,[],[4589,10414,10424,10437,10448,10451,10555,10558,10561,10663,10798,4595,10647,10747,3244,3294,3408,10486,10489,10582,10585,3385,3284,3345,3280,3307,3292,3910,3505,11058,3378,4602,10477,3343,10547,4214,4073,4650,3363,3641,3804,3741,3953,3514,10566,10686,10764,10837,10840,10880,10980,3891,3431,4626,10454,10457,10483,10607,10782,10988,11003,4638,3878,3650,4021,3474,3476,3450,4623,4597,4630,10442,10445,10615,10710,10729,10736,10759,10767,10770,10787,10973,4176,4082,11055,3805,4164,3822,10610,4642,3447,10575,10673,10823,10887,10962,11009,11012,11043,11066,11102,11140,3448,10602,10658,10892,10983,3449,4622,10494,10523,11027,11069,3597,10752,10843,11113,11157,4634,11036,11149,11170,3507,10874,10904,10913,10916,3539,3957,3896,10526,4631,10474,10862,10865,3468,10907,11063,4255,4628,3965,4614,4617,3424,3428,4616,4615,4644,10773,4649,4039,3886,11176,11182,3888,3598,3704,10826,10829,10922,11089,4647,4648,10666,4310,3919,4645,10499,10502,10868,3889,10832,4150,4661,4687,4742,4746,4770,4785,4792,4794,4830,4835,4864,4870,4956,4982,4983,4998,5024,5052,5053,5076,5077,5091,5095,5120,5126,5142,5146,5147,5148,5153,5154,5177,5202,5204,5205,5215,5220,5226,5262,5263,5271,5279,5283,5285,5299,5302,5308,5313,5314,5327,5333,5336,5337,5341,5369,5384,5393,5395,5396,5399,5400,5401,5411,5413,5419,5420,5421,5427,5431,5432,5433,5441,5445,5446,5452,5465,5473,5486,5488,5496,5498,5499,5502,5506,5533,5547,5548,5563,5575,5597,5603,5627,5628,5631,5650,5658,5659,5664,5665,5675,5677,5690,5694,5703,5704,5706,5707,5723,5728,5737,5738,5749,5756,5770,5774,5777,5783,5784,5785,5788,5793,5829,5830,5833,5835,5837,5839,5840,5841,5843,5845,5847,5852,5859,5874,5888,5895,5896,5908,5919,5920,5927,5931,5933,5938,5946,5984,5998,6007,6010,6019,6023,6024,6025,6026,6027,6032,6037,6047,6053,6071,6075,6084,6113,6129,6155,6172,6173,6176,6191,6193,6195,6197,6212,6213,6216,6218,6221,6222,6239,6247,6248,6249,6251,6253,6290,6291,6296,6299,6305,6309,6343,6345,6347,6349,6359,6361,6364,6370,6372,6377,6380,6388,6396,6398,6399,6406,6429,6430,6431,6432,6433,6435,6441,6446,6480,6481,6484,6485,6486,6488,6489,6490,6491,6498,6533,6534,6543,6564,6565,6589,6591,6603,6604,6610,6640,6642,6657,6698,6700,6701,6757,6780,6823,6838,6846,6855,6856,6857,6858,6878,6879,6886,6898,6901,6903,6905,6906,6907,6909,6923,6934,6935,6936,6949,7003,7014,7016,7038,7039,7075,7082,7089,7119,7150,7206,7235,7292,7313,7322,7325,7385,7395,7457,7459,7473,7482,7483,7484,7501,7505,7507,7554,7564,7567,7582,7629,7631,7634,7678,7679,7697,7767,7785,7809,7833,7845,7859,7870,7881,7882,7908,7910,7912,7923,7963,7974,7999,8026,8058,8089,8123,8162,8178,8180,8196,8197,8263,8274,8339,8363,8383,8410,8449,8450,8467,8507,8509,8511,8517])).
% 164.10/163.70 cnf(11227,plain,
% 164.10/163.70 (P107(f316(f316(f225(a898),x112271),f316(a102,x112271)))),
% 164.10/163.70 inference(rename_variables,[],[3514])).
% 164.10/163.70 cnf(11237,plain,
% 164.10/163.70 (~E(f316(f299(x112371,f905(x112371,a895),x112372),x112373),f316(f297(x112371),x112373))),
% 164.10/163.70 inference(rename_variables,[],[4632])).
% 164.10/163.70 cnf(11240,plain,
% 164.10/163.70 (~P107(f316(f316(f318(x112401),x112402),f178(f905(x112401,a895))))),
% 164.10/163.70 inference(rename_variables,[],[4634])).
% 164.10/163.70 cnf(11243,plain,
% 164.10/163.70 (~P107(f316(f316(f318(x112431),x112432),f178(f905(x112431,a895))))),
% 164.10/163.70 inference(rename_variables,[],[4634])).
% 164.10/163.70 cnf(11246,plain,
% 164.10/163.70 (~P107(f316(f316(f318(f904(x112461,x112461)),f316(f316(f241(x112461,x112461),x112462),x112463)),f143(x112461,f103(f905(x112461,a898)))))),
% 164.10/163.70 inference(rename_variables,[],[4649])).
% 164.10/163.70 cnf(11249,plain,
% 164.10/163.70 (~P107(f316(f316(f318(f904(x112491,x112491)),f316(f316(f241(x112491,x112491),x112492),x112493)),f143(x112491,f103(f905(x112491,a898)))))),
% 164.10/163.70 inference(rename_variables,[],[4649])).
% 164.10/163.70 cnf(11254,plain,
% 164.10/163.70 (~P107(f316(f316(f318(x112541),x112542),f178(f905(x112541,a895))))),
% 164.10/163.70 inference(rename_variables,[],[4634])).
% 164.10/163.70 cnf(11257,plain,
% 164.10/163.70 (P107(f316(f316(f318(f904(x112571,x112571)),f316(f316(f241(x112571,x112571),x112572),x112572)),f296(x112571,x112573)))),
% 164.10/163.70 inference(rename_variables,[],[4073])).
% 164.10/163.70 cnf(11260,plain,
% 164.10/163.70 (P107(f316(f316(f224(f905(x112601,a895)),x112602),f231(f905(x112601,a895))))),
% 164.10/163.70 inference(rename_variables,[],[3822])).
% 164.10/163.70 cnf(11263,plain,
% 164.10/163.70 (P107(f316(f316(f224(f905(x112631,a895)),f316(f162(x112631),f166(x112631,x112632,x112633))),f316(f162(x112631),x112632)))),
% 164.10/163.70 inference(rename_variables,[],[4130])).
% 164.10/163.70 cnf(11279,plain,
% 164.10/163.70 (P107(f316(f316(f224(f905(x112791,a895)),f178(f905(x112791,a895))),x112792))),
% 164.10/163.70 inference(rename_variables,[],[3888])).
% 164.10/163.70 cnf(11290,plain,
% 164.10/163.70 (~P107(f316(f316(f318(f904(f899(x112901),f899(x112901))),f316(f316(f241(f899(x112901),f899(x112901)),x112902),f103(x112901))),f137(x112901,x112903)))),
% 164.10/163.70 inference(rename_variables,[],[4651])).
% 164.10/163.70 cnf(11301,plain,
% 164.10/163.70 (~E(f316(a102,x113011),x113011)),
% 164.10/163.70 inference(rename_variables,[],[4589])).
% 164.10/163.70 cnf(11304,plain,
% 164.10/163.70 (~E(f316(a102,x113041),x113041)),
% 164.10/163.70 inference(rename_variables,[],[4589])).
% 164.10/163.70 cnf(11308,plain,
% 164.10/163.70 (P107(f316(f316(f318(f904(f899(x113081),f899(x113081))),f316(f316(f241(f899(x113081),f899(x113081)),f103(x113081)),f103(x113081))),f316(f316(f278(f899(x113081),f899(x113081),f899(x113081)),f148(x113081,x113082)),f296(f899(x113081),f148(x113081,x113082)))))),
% 164.10/163.70 inference(scs_inference,[],[4589,10414,10424,10437,10448,10451,10555,10558,10561,10663,10798,11108,11301,11304,4595,10647,10747,3244,3294,3408,10486,10489,10582,10585,3385,3898,3284,3345,3280,3307,3292,3910,3505,11058,3378,4071,4602,10477,4632,3343,10547,4214,4073,11257,4650,11160,4651,3363,3641,3804,3741,3953,3514,10566,10686,10764,10837,10840,10880,10980,3891,3431,4626,10454,10457,10483,10607,10782,10988,11003,11118,4638,3878,3650,4021,3474,3476,3450,4623,4597,4630,10442,10445,10615,10710,10729,10736,10759,10767,10770,10787,10973,4176,4082,11055,4130,3805,4164,3822,10610,10707,4642,3447,10575,10673,10823,10887,10962,11009,11012,11043,11066,11102,11140,3448,10602,10658,10892,10983,3449,4622,10494,10523,11027,11069,3597,10752,10843,11113,11157,4634,11036,11149,11170,11173,11240,11243,3507,10874,10904,10913,10916,3539,3957,3896,10526,4631,10474,10862,10865,3468,10907,11063,4255,4628,3965,4614,4617,3424,3428,4616,4615,4644,10773,4649,11246,4039,3886,11176,11182,3888,10910,3598,3704,10826,10829,10922,11089,4647,4648,10666,4310,3919,4645,10499,10502,10868,3889,10832,4150,4661,4687,4742,4746,4770,4785,4792,4794,4830,4835,4864,4870,4956,4982,4983,4998,5024,5052,5053,5076,5077,5091,5095,5120,5126,5142,5146,5147,5148,5153,5154,5177,5202,5204,5205,5215,5220,5226,5262,5263,5271,5279,5283,5285,5299,5302,5308,5313,5314,5327,5333,5336,5337,5341,5369,5384,5393,5395,5396,5399,5400,5401,5411,5413,5419,5420,5421,5427,5431,5432,5433,5441,5445,5446,5452,5465,5473,5486,5488,5496,5498,5499,5502,5506,5533,5547,5548,5563,5575,5597,5603,5627,5628,5631,5650,5658,5659,5664,5665,5675,5677,5690,5694,5703,5704,5706,5707,5723,5728,5737,5738,5749,5756,5770,5774,5777,5783,5784,5785,5788,5793,5829,5830,5833,5835,5837,5839,5840,5841,5843,5845,5847,5852,5859,5874,5888,5895,5896,5908,5919,5920,5927,5931,5933,5938,5946,5984,5998,6007,6010,6019,6023,6024,6025,6026,6027,6032,6037,6047,6053,6071,6075,6084,6113,6129,6155,6172,6173,6176,6191,6193,6195,6197,6212,6213,6216,6218,6221,6222,6239,6247,6248,6249,6251,6253,6290,6291,6296,6299,6305,6309,6343,6345,6347,6349,6359,6361,6364,6370,6372,6377,6380,6388,6396,6398,6399,6406,6429,6430,6431,6432,6433,6435,6441,6446,6480,6481,6484,6485,6486,6488,6489,6490,6491,6498,6533,6534,6543,6564,6565,6589,6591,6603,6604,6610,6640,6642,6657,6698,6700,6701,6757,6780,6823,6838,6846,6855,6856,6857,6858,6878,6879,6886,6898,6901,6903,6905,6906,6907,6909,6923,6934,6935,6936,6949,7003,7014,7016,7038,7039,7075,7082,7089,7119,7150,7206,7235,7292,7313,7322,7325,7385,7395,7457,7459,7473,7482,7483,7484,7501,7505,7507,7554,7564,7567,7582,7629,7631,7634,7678,7679,7697,7767,7785,7809,7833,7845,7859,7870,7881,7882,7908,7910,7912,7923,7963,7974,7999,8026,8058,8089,8123,8162,8178,8180,8196,8197,8263,8274,8339,8363,8383,8410,8449,8450,8467,8507,8509,8511,8517,8532,8536,8551,8572,8580,8582,8592,8597,8601,8602,8603,8604,8605,8606,8625,8639,8640,8658,8660,8664,8665,8666,8667,8668,8688,8689,8690,8700,8713,8716,8728,8733,8735,8737,8738,8739,8746])).
% 164.10/163.70 cnf(11313,plain,
% 164.10/163.70 (~E(f316(a102,x113131),f2(a898))),
% 164.10/163.70 inference(rename_variables,[],[4595])).
% 164.10/163.70 cnf(11315,plain,
% 164.10/163.70 (E(f316(x113151,f316(f85(x113152,x113153,f231(f905(x113152,a895)),x113151),f316(x113151,x113154))),f316(x113151,x113154))),
% 164.10/163.70 inference(scs_inference,[],[4589,10414,10424,10437,10448,10451,10555,10558,10561,10663,10798,11108,11301,11304,4595,10647,10747,11211,3244,3294,3408,10486,10489,10582,10585,3385,3898,3284,3345,3280,3307,3292,3910,3505,11058,3378,4071,4602,10477,4632,3343,10547,4214,4073,11257,4650,11160,4651,3363,3641,3804,3741,3953,3514,10566,10686,10764,10837,10840,10880,10980,3891,3431,4626,10454,10457,10483,10607,10782,10988,11003,11118,4638,3878,3650,4021,3474,3476,3450,4623,4597,4630,10442,10445,10615,10710,10729,10736,10759,10767,10770,10787,10973,4176,4082,11055,4130,3805,4164,3822,10610,10707,4642,3447,10575,10673,10823,10887,10962,11009,11012,11043,11066,11102,11140,3448,10602,10658,10892,10983,3449,4622,10494,10523,11027,11069,3597,10752,10843,11113,11157,4634,11036,11149,11170,11173,11240,11243,3507,10874,10904,10913,10916,3539,3957,3896,10526,4631,10474,10862,10865,3468,10907,11063,4255,4628,3965,4614,4617,3424,3428,4616,4615,4644,10773,4649,11246,4039,3886,11176,11182,3888,10910,3598,3704,10826,10829,10922,11089,4647,4648,10666,4310,3919,4645,10499,10502,10868,3889,10832,4150,4661,4687,4742,4746,4770,4785,4792,4794,4830,4835,4864,4870,4956,4982,4983,4998,5024,5052,5053,5076,5077,5091,5095,5120,5126,5142,5146,5147,5148,5153,5154,5177,5202,5204,5205,5215,5220,5226,5262,5263,5271,5279,5283,5285,5299,5302,5308,5313,5314,5327,5333,5336,5337,5341,5369,5384,5393,5395,5396,5399,5400,5401,5411,5413,5419,5420,5421,5427,5431,5432,5433,5441,5445,5446,5452,5465,5473,5486,5488,5496,5498,5499,5502,5506,5533,5547,5548,5563,5575,5597,5603,5627,5628,5631,5650,5658,5659,5664,5665,5675,5677,5690,5694,5703,5704,5706,5707,5723,5728,5737,5738,5749,5756,5770,5774,5777,5783,5784,5785,5788,5793,5829,5830,5833,5835,5837,5839,5840,5841,5843,5845,5847,5852,5859,5874,5888,5895,5896,5908,5919,5920,5927,5931,5933,5938,5946,5984,5998,6007,6010,6019,6023,6024,6025,6026,6027,6032,6037,6047,6053,6071,6075,6084,6113,6129,6155,6172,6173,6176,6191,6193,6195,6197,6212,6213,6216,6218,6221,6222,6239,6247,6248,6249,6251,6253,6290,6291,6296,6299,6305,6309,6343,6345,6347,6349,6359,6361,6364,6370,6372,6377,6380,6388,6396,6398,6399,6406,6429,6430,6431,6432,6433,6435,6441,6446,6480,6481,6484,6485,6486,6488,6489,6490,6491,6498,6533,6534,6543,6564,6565,6589,6591,6603,6604,6610,6640,6642,6657,6698,6700,6701,6757,6780,6823,6838,6846,6855,6856,6857,6858,6878,6879,6886,6898,6901,6903,6905,6906,6907,6909,6923,6934,6935,6936,6949,7003,7014,7016,7038,7039,7075,7082,7089,7119,7150,7206,7235,7292,7313,7322,7325,7385,7395,7457,7459,7473,7482,7483,7484,7501,7505,7507,7554,7564,7567,7582,7629,7631,7634,7678,7679,7697,7767,7785,7809,7833,7845,7859,7870,7881,7882,7908,7910,7912,7923,7963,7974,7999,8026,8058,8089,8123,8162,8178,8180,8196,8197,8263,8274,8339,8363,8383,8410,8449,8450,8467,8507,8509,8511,8517,8532,8536,8551,8572,8580,8582,8592,8597,8601,8602,8603,8604,8605,8606,8625,8639,8640,8658,8660,8664,8665,8666,8667,8668,8688,8689,8690,8700,8713,8716,8728,8733,8735,8737,8738,8739,8746,8747,8753,8761])).
% 164.10/163.70 cnf(11318,plain,
% 164.10/163.70 (P107(f316(f316(f224(f905(x113181,a895)),x113182),x113182))),
% 164.10/163.70 inference(rename_variables,[],[3737])).
% 164.10/163.70 cnf(11327,plain,
% 164.10/163.70 (~E(f316(a102,x113271),x113271)),
% 164.10/163.70 inference(rename_variables,[],[4589])).
% 164.10/163.70 cnf(11330,plain,
% 164.10/163.70 (~E(f316(a102,x113301),x113301)),
% 164.10/163.70 inference(rename_variables,[],[4589])).
% 164.10/163.70 cnf(11332,plain,
% 164.10/163.70 (~P23(x113321,f905(x113321,a895),x113322,x113323,f316(f297(x113321),x113323))),
% 164.10/163.70 inference(scs_inference,[],[4589,10414,10424,10437,10448,10451,10555,10558,10561,10663,10798,11108,11301,11304,11327,4595,10647,10747,11211,3244,3294,3408,10486,10489,10582,10585,3385,3898,3284,3345,3280,3307,3292,3910,3505,11058,3378,4071,4602,10477,4632,11237,3343,10547,4214,4073,11257,4650,11160,4651,3363,3641,3804,3741,3953,3514,10566,10686,10764,10837,10840,10880,10980,3891,3431,4626,10454,10457,10483,10607,10782,10988,11003,11118,4638,3878,3650,4021,3474,3476,3450,4623,4597,4630,10442,10445,10615,10710,10729,10736,10759,10767,10770,10787,10973,4176,4082,11055,4130,3805,4164,3822,10610,10707,4642,3447,10575,10673,10823,10887,10962,11009,11012,11043,11066,11102,11140,3448,10602,10658,10892,10983,3449,4622,10494,10523,11027,11069,3597,10752,10843,11113,11157,4634,11036,11149,11170,11173,11240,11243,3507,10874,10904,10913,10916,3539,3957,3896,10526,4631,10474,10862,10865,3468,10907,11063,4255,4628,3965,4614,4617,3424,3428,4616,4615,4644,10773,4649,11246,4039,3886,11176,11182,3737,3888,10910,3598,3704,10826,10829,10922,11089,4647,4648,10666,4310,3919,4645,10499,10502,10868,3889,10832,4150,4661,4687,4742,4746,4770,4785,4792,4794,4830,4835,4864,4870,4956,4982,4983,4998,5024,5052,5053,5076,5077,5091,5095,5120,5126,5142,5146,5147,5148,5153,5154,5177,5202,5204,5205,5215,5220,5226,5262,5263,5271,5279,5283,5285,5299,5302,5308,5313,5314,5327,5333,5336,5337,5341,5369,5384,5393,5395,5396,5399,5400,5401,5411,5413,5419,5420,5421,5427,5431,5432,5433,5441,5445,5446,5452,5465,5473,5486,5488,5496,5498,5499,5502,5506,5533,5547,5548,5563,5575,5597,5603,5627,5628,5631,5650,5658,5659,5664,5665,5675,5677,5690,5694,5703,5704,5706,5707,5723,5728,5737,5738,5749,5756,5770,5774,5777,5783,5784,5785,5788,5793,5829,5830,5833,5835,5837,5839,5840,5841,5843,5845,5847,5852,5859,5874,5888,5895,5896,5908,5919,5920,5927,5931,5933,5938,5946,5984,5998,6007,6010,6019,6023,6024,6025,6026,6027,6032,6037,6047,6053,6071,6075,6084,6113,6129,6155,6172,6173,6176,6191,6193,6195,6197,6212,6213,6216,6218,6221,6222,6239,6247,6248,6249,6251,6253,6290,6291,6296,6299,6305,6309,6343,6345,6347,6349,6359,6361,6364,6370,6372,6377,6380,6388,6396,6398,6399,6406,6429,6430,6431,6432,6433,6435,6441,6446,6480,6481,6484,6485,6486,6488,6489,6490,6491,6498,6533,6534,6543,6564,6565,6589,6591,6603,6604,6610,6640,6642,6657,6698,6700,6701,6757,6780,6823,6838,6846,6855,6856,6857,6858,6878,6879,6886,6898,6901,6903,6905,6906,6907,6909,6923,6934,6935,6936,6949,7003,7014,7016,7038,7039,7075,7082,7089,7119,7150,7206,7235,7292,7313,7322,7325,7385,7395,7457,7459,7473,7482,7483,7484,7501,7505,7507,7554,7564,7567,7582,7629,7631,7634,7678,7679,7697,7767,7785,7809,7833,7845,7859,7870,7881,7882,7908,7910,7912,7923,7963,7974,7999,8026,8058,8089,8123,8162,8178,8180,8196,8197,8263,8274,8339,8363,8383,8410,8449,8450,8467,8507,8509,8511,8517,8532,8536,8551,8572,8580,8582,8592,8597,8601,8602,8603,8604,8605,8606,8625,8639,8640,8658,8660,8664,8665,8666,8667,8668,8688,8689,8690,8700,8713,8716,8728,8733,8735,8737,8738,8739,8746,8747,8753,8761,8764,8781,8782,8784,8792,8793,8801])).
% 164.10/163.70 cnf(11335,plain,
% 164.10/163.70 (P22(x113351,x113351,f5(x113351),x113352)),
% 164.10/163.70 inference(rename_variables,[],[3681])).
% 164.10/163.70 cnf(11340,plain,
% 164.10/163.70 (~E(f316(f299(x113401,f905(x113401,a895),x113402),x113403),f316(f297(x113401),x113403))),
% 164.10/163.70 inference(rename_variables,[],[4632])).
% 164.10/163.70 cnf(11345,plain,
% 164.10/163.70 (P107(f316(f316(f224(f905(x113451,a895)),x113452),f231(f905(x113451,a895))))),
% 164.10/163.70 inference(rename_variables,[],[3822])).
% 164.10/163.70 cnf(11361,plain,
% 164.10/163.70 (~P107(f316(f316(f318(x113611),x113612),f178(f905(x113611,a895))))),
% 164.10/163.70 inference(rename_variables,[],[4634])).
% 164.10/163.70 cnf(11364,plain,
% 164.10/163.70 (~P107(f316(f316(f224(a898),f316(a102,x113641)),x113641))),
% 164.10/163.70 inference(rename_variables,[],[4631])).
% 164.10/163.70 cnf(11369,plain,
% 164.10/163.70 (~P107(f316(f316(f318(x113691),x113692),f178(f905(x113691,a895))))),
% 164.10/163.70 inference(rename_variables,[],[4634])).
% 164.10/163.70 cnf(11379,plain,
% 164.10/163.70 (~P107(f316(f316(f318(a898),f316(a102,f316(f132(a898,a898,f74(a898),f2(a898)),x113791))),f316(f162(a898),x113791)))),
% 164.10/163.70 inference(scs_inference,[],[3681,4589,10414,10424,10437,10448,10451,10555,10558,10561,10663,10798,11108,11301,11304,11327,4595,10647,10747,11211,3244,3294,3408,10486,10489,10582,10585,3385,3898,3284,3345,3280,3307,3292,3910,3505,11058,3378,4071,4602,10477,4632,11237,3550,3343,10547,4214,4073,11257,4650,11160,4651,3363,3641,3804,3741,3953,3514,10566,10686,10764,10837,10840,10880,10980,11227,3891,3431,4626,10454,10457,10483,10607,10782,10988,11003,11118,4638,3878,3650,4021,3474,3476,3450,4623,4597,4630,10442,10445,10615,10710,10729,10736,10759,10767,10770,10787,10973,4176,4082,11055,4130,3805,4164,3822,10610,10707,11260,4642,3447,10575,10673,10823,10887,10962,11009,11012,11043,11066,11102,11140,3448,10602,10658,10892,10983,3449,4622,10494,10523,11027,11069,3597,10752,10843,11113,11157,4634,11036,11149,11170,11173,11240,11243,11254,11361,3507,10874,10904,10913,10916,3539,3957,3896,10526,4631,10474,10862,10865,11364,3468,10907,11063,4255,4628,3965,4614,4617,3424,3428,4616,4615,4644,10773,4649,11246,4039,3886,11176,11182,3737,3888,10910,3598,3704,10826,10829,10922,11089,4647,4648,10666,4310,3919,4645,10499,10502,10868,3889,10832,4150,4661,4687,4742,4746,4770,4785,4792,4794,4830,4835,4864,4870,4956,4982,4983,4998,5024,5052,5053,5076,5077,5091,5095,5120,5126,5142,5146,5147,5148,5153,5154,5177,5202,5204,5205,5215,5220,5226,5262,5263,5271,5279,5283,5285,5299,5302,5308,5313,5314,5327,5333,5336,5337,5341,5369,5384,5393,5395,5396,5399,5400,5401,5411,5413,5419,5420,5421,5427,5431,5432,5433,5441,5445,5446,5452,5465,5473,5486,5488,5496,5498,5499,5502,5506,5533,5547,5548,5563,5575,5597,5603,5627,5628,5631,5650,5658,5659,5664,5665,5675,5677,5690,5694,5703,5704,5706,5707,5723,5728,5737,5738,5749,5756,5770,5774,5777,5783,5784,5785,5788,5793,5829,5830,5833,5835,5837,5839,5840,5841,5843,5845,5847,5852,5859,5874,5888,5895,5896,5908,5919,5920,5927,5931,5933,5938,5946,5984,5998,6007,6010,6019,6023,6024,6025,6026,6027,6032,6037,6047,6053,6071,6075,6084,6113,6129,6155,6172,6173,6176,6191,6193,6195,6197,6212,6213,6216,6218,6221,6222,6239,6247,6248,6249,6251,6253,6290,6291,6296,6299,6305,6309,6343,6345,6347,6349,6359,6361,6364,6370,6372,6377,6380,6388,6396,6398,6399,6406,6429,6430,6431,6432,6433,6435,6441,6446,6480,6481,6484,6485,6486,6488,6489,6490,6491,6498,6533,6534,6543,6564,6565,6589,6591,6603,6604,6610,6640,6642,6657,6698,6700,6701,6757,6780,6823,6838,6846,6855,6856,6857,6858,6878,6879,6886,6898,6901,6903,6905,6906,6907,6909,6923,6934,6935,6936,6949,7003,7014,7016,7038,7039,7075,7082,7089,7119,7150,7206,7235,7292,7313,7322,7325,7385,7395,7457,7459,7473,7482,7483,7484,7501,7505,7507,7554,7564,7567,7582,7629,7631,7634,7678,7679,7697,7767,7785,7809,7833,7845,7859,7870,7881,7882,7908,7910,7912,7923,7963,7974,7999,8026,8058,8089,8123,8162,8178,8180,8196,8197,8263,8274,8339,8363,8383,8410,8449,8450,8467,8507,8509,8511,8517,8532,8536,8551,8572,8580,8582,8592,8597,8601,8602,8603,8604,8605,8606,8625,8639,8640,8658,8660,8664,8665,8666,8667,8668,8688,8689,8690,8700,8713,8716,8728,8733,8735,8737,8738,8739,8746,8747,8753,8761,8764,8781,8782,8784,8792,8793,8801,8820,8833,8837,8858,8880,8881,8884,8885,8891,8900,8901,8924,8935,8945,8946,8947,8950,8973,8974,8985])).
% 164.10/163.70 cnf(11380,plain,
% 164.10/163.70 (~P107(f316(f316(f224(a898),f316(a102,x113801)),x113801))),
% 164.10/163.70 inference(rename_variables,[],[4631])).
% 164.10/163.70 cnf(11383,plain,
% 164.10/163.70 (~P107(f316(f316(f318(x113831),x113832),f178(f905(x113831,a895))))),
% 164.10/163.70 inference(rename_variables,[],[4634])).
% 164.10/163.70 cnf(11396,plain,
% 164.10/163.70 (P107(f316(f316(f318(f904(x113961,x113961)),f316(f316(f241(x113961,x113961),x113962),x113962)),f296(x113961,x113963)))),
% 164.10/163.70 inference(rename_variables,[],[4073])).
% 164.10/163.70 cnf(11399,plain,
% 164.10/163.70 (P107(f316(f316(f318(x113991),x113992),f231(f905(x113991,a895))))),
% 164.10/163.70 inference(rename_variables,[],[3597])).
% 164.10/163.70 cnf(11402,plain,
% 164.10/163.70 (P107(f316(f316(f318(x114021),x114022),f231(f905(x114021,a895))))),
% 164.10/163.70 inference(rename_variables,[],[3597])).
% 164.10/163.70 cnf(11409,plain,
% 164.10/163.70 (~P107(f316(f316(f318(f904(f899(x114091),f899(x114091))),f316(f316(f241(f899(x114091),f899(x114091)),x114092),f103(x114091))),f135(x114091,x114093)))),
% 164.10/163.70 inference(rename_variables,[],[4650])).
% 164.10/163.70 cnf(11412,plain,
% 164.10/163.70 (~P107(f316(f316(f318(f904(f899(x114121),f899(x114121))),f316(f316(f241(f899(x114121),f899(x114121)),x114122),f103(x114121))),f137(x114121,x114123)))),
% 164.10/163.70 inference(rename_variables,[],[4651])).
% 164.10/163.70 cnf(11415,plain,
% 164.10/163.70 (~P107(f316(f316(f318(f904(f899(x114151),f899(x114151))),f316(f316(f241(f899(x114151),f899(x114151)),x114152),f103(x114151))),f147(x114151,x114153)))),
% 164.10/163.70 inference(rename_variables,[],[4652])).
% 164.10/163.70 cnf(11420,plain,
% 164.10/163.70 (~P107(f316(f316(f225(f905(x114201,a895)),x114202),f178(f905(x114201,a895))))),
% 164.10/163.70 inference(rename_variables,[],[4642])).
% 164.10/163.70 cnf(11422,plain,
% 164.10/163.70 (~P107(f316(f316(f318(x114221),x114222),f316(f299(x114223,x114221,x114224),f178(f905(x114223,a895)))))),
% 164.10/163.70 inference(scs_inference,[],[3681,4589,10414,10424,10437,10448,10451,10555,10558,10561,10663,10798,11108,11301,11304,11327,4595,10647,10747,11211,3244,3294,3408,10486,10489,10582,10585,3385,3898,3284,3345,3280,3307,3292,3910,3505,11058,3378,4071,4602,10477,4632,11237,3550,3343,10547,4214,4073,11257,4650,11160,11409,4651,11290,4652,3363,3641,3804,3741,3953,3514,10566,10686,10764,10837,10840,10880,10980,11227,3891,3431,4626,10454,10457,10483,10607,10782,10988,11003,11118,4638,3878,3650,4021,3474,3476,3450,4623,4597,4630,10442,10445,10615,10710,10729,10736,10759,10767,10770,10787,10973,4176,4082,11055,4130,3805,4164,3822,10610,10707,11260,4642,11006,3447,10575,10673,10823,10887,10962,11009,11012,11043,11066,11102,11140,3448,10602,10658,10892,10983,3449,4622,10494,10523,11027,11069,3597,10752,10843,11113,11157,11399,4634,11036,11149,11170,11173,11240,11243,11254,11361,11369,11383,3507,10874,10904,10913,10916,3539,3957,3896,10526,4631,10474,10862,10865,11364,3468,10907,11063,4255,4628,3965,4614,4617,3424,3428,4616,4615,4644,10773,4649,11246,4039,3886,11176,11182,3737,3888,10910,3598,3704,10826,10829,10922,11089,4647,4648,10666,4310,3919,4645,10499,10502,10868,3889,10832,4150,4661,4687,4742,4746,4770,4785,4792,4794,4830,4835,4864,4870,4956,4982,4983,4998,5024,5052,5053,5076,5077,5091,5095,5120,5126,5142,5146,5147,5148,5153,5154,5177,5202,5204,5205,5215,5220,5226,5262,5263,5271,5279,5283,5285,5299,5302,5308,5313,5314,5327,5333,5336,5337,5341,5369,5384,5393,5395,5396,5399,5400,5401,5411,5413,5419,5420,5421,5427,5431,5432,5433,5441,5445,5446,5452,5465,5473,5486,5488,5496,5498,5499,5502,5506,5533,5547,5548,5563,5575,5597,5603,5627,5628,5631,5650,5658,5659,5664,5665,5675,5677,5690,5694,5703,5704,5706,5707,5723,5728,5737,5738,5749,5756,5770,5774,5777,5783,5784,5785,5788,5793,5829,5830,5833,5835,5837,5839,5840,5841,5843,5845,5847,5852,5859,5874,5888,5895,5896,5908,5919,5920,5927,5931,5933,5938,5946,5984,5998,6007,6010,6019,6023,6024,6025,6026,6027,6032,6037,6047,6053,6071,6075,6084,6113,6129,6155,6172,6173,6176,6191,6193,6195,6197,6212,6213,6216,6218,6221,6222,6239,6247,6248,6249,6251,6253,6290,6291,6296,6299,6305,6309,6343,6345,6347,6349,6359,6361,6364,6370,6372,6377,6380,6388,6396,6398,6399,6406,6429,6430,6431,6432,6433,6435,6441,6446,6480,6481,6484,6485,6486,6488,6489,6490,6491,6498,6533,6534,6543,6564,6565,6589,6591,6603,6604,6610,6640,6642,6657,6698,6700,6701,6757,6780,6823,6838,6846,6855,6856,6857,6858,6878,6879,6886,6898,6901,6903,6905,6906,6907,6909,6923,6934,6935,6936,6949,7003,7014,7016,7038,7039,7075,7082,7089,7119,7150,7206,7235,7292,7313,7322,7325,7385,7395,7457,7459,7473,7482,7483,7484,7501,7505,7507,7554,7564,7567,7582,7629,7631,7634,7678,7679,7697,7767,7785,7809,7833,7845,7859,7870,7881,7882,7908,7910,7912,7923,7963,7974,7999,8026,8058,8089,8123,8162,8178,8180,8196,8197,8263,8274,8339,8363,8383,8410,8449,8450,8467,8507,8509,8511,8517,8532,8536,8551,8572,8580,8582,8592,8597,8601,8602,8603,8604,8605,8606,8625,8639,8640,8658,8660,8664,8665,8666,8667,8668,8688,8689,8690,8700,8713,8716,8728,8733,8735,8737,8738,8739,8746,8747,8753,8761,8764,8781,8782,8784,8792,8793,8801,8820,8833,8837,8858,8880,8881,8884,8885,8891,8900,8901,8924,8935,8945,8946,8947,8950,8973,8974,8985,9034,9040,9046,9048,9064,9067,9078,9079,9080,9091,9155,9186,9187,9188,9203,9220,9228])).
% 164.10/163.70 cnf(11423,plain,
% 164.10/163.70 (~P107(f316(f316(f318(x114231),x114232),f178(f905(x114231,a895))))),
% 164.10/163.70 inference(rename_variables,[],[4634])).
% 164.10/163.70 cnf(11427,plain,
% 164.10/163.70 (P107(f316(f316(f224(f905(x114271,a895)),x114272),f316(f316(f100(f905(x114271,a895)),x114273),f231(f905(x114271,a895)))))),
% 164.10/163.70 inference(scs_inference,[],[3681,4589,10414,10424,10437,10448,10451,10555,10558,10561,10663,10798,11108,11301,11304,11327,4595,10647,10747,11211,3244,3294,3408,10486,10489,10582,10585,3385,3898,3284,3345,3280,3307,3292,3910,3505,11058,3378,4071,4602,10477,4632,11237,3550,3343,10547,4214,4073,11257,4650,11160,11409,4651,11290,4652,3363,3641,3804,3741,3953,3514,10566,10686,10764,10837,10840,10880,10980,11227,3891,3431,4626,10454,10457,10483,10607,10782,10988,11003,11118,4638,3878,3650,4021,3474,3476,3450,4623,4597,4630,10442,10445,10615,10710,10729,10736,10759,10767,10770,10787,10973,4176,4082,11055,4130,3805,4164,3822,10610,10707,11260,11345,4642,11006,3447,10575,10673,10823,10887,10962,11009,11012,11043,11066,11102,11140,3448,10602,10658,10892,10983,3449,4622,10494,10523,11027,11069,3597,10752,10843,11113,11157,11399,4634,11036,11149,11170,11173,11240,11243,11254,11361,11369,11383,3507,10874,10904,10913,10916,3539,3957,3896,10526,4631,10474,10862,10865,11364,3468,10907,11063,4255,4628,3965,4614,4617,3424,3428,4616,4615,4644,10773,4649,11246,4039,3886,11176,11182,3737,3888,10910,3598,3704,10826,10829,10922,11089,4647,4648,10666,4310,3919,4645,10499,10502,10868,3889,10832,4150,4661,4687,4742,4746,4770,4785,4792,4794,4830,4835,4864,4870,4956,4982,4983,4998,5024,5052,5053,5076,5077,5091,5095,5120,5126,5142,5146,5147,5148,5153,5154,5177,5202,5204,5205,5215,5220,5226,5262,5263,5271,5279,5283,5285,5299,5302,5308,5313,5314,5327,5333,5336,5337,5341,5369,5384,5393,5395,5396,5399,5400,5401,5411,5413,5419,5420,5421,5427,5431,5432,5433,5441,5445,5446,5452,5465,5473,5486,5488,5496,5498,5499,5502,5506,5533,5547,5548,5563,5575,5597,5603,5627,5628,5631,5650,5658,5659,5664,5665,5675,5677,5690,5694,5703,5704,5706,5707,5723,5728,5737,5738,5749,5756,5770,5774,5777,5783,5784,5785,5788,5793,5829,5830,5833,5835,5837,5839,5840,5841,5843,5845,5847,5852,5859,5874,5888,5895,5896,5908,5919,5920,5927,5931,5933,5938,5946,5984,5998,6007,6010,6019,6023,6024,6025,6026,6027,6032,6037,6047,6053,6071,6075,6084,6113,6129,6155,6172,6173,6176,6191,6193,6195,6197,6212,6213,6216,6218,6221,6222,6239,6247,6248,6249,6251,6253,6290,6291,6296,6299,6305,6309,6343,6345,6347,6349,6359,6361,6364,6370,6372,6377,6380,6388,6396,6398,6399,6406,6429,6430,6431,6432,6433,6435,6441,6446,6480,6481,6484,6485,6486,6488,6489,6490,6491,6498,6533,6534,6543,6564,6565,6589,6591,6603,6604,6610,6640,6642,6657,6698,6700,6701,6757,6780,6823,6838,6846,6855,6856,6857,6858,6878,6879,6886,6898,6901,6903,6905,6906,6907,6909,6923,6934,6935,6936,6949,7003,7014,7016,7038,7039,7075,7082,7089,7119,7150,7206,7235,7292,7313,7322,7325,7385,7395,7457,7459,7473,7482,7483,7484,7501,7505,7507,7554,7564,7567,7582,7629,7631,7634,7678,7679,7697,7767,7785,7809,7833,7845,7859,7870,7881,7882,7908,7910,7912,7923,7963,7974,7999,8026,8058,8089,8123,8162,8178,8180,8196,8197,8263,8274,8339,8363,8383,8410,8449,8450,8467,8507,8509,8511,8517,8532,8536,8551,8572,8580,8582,8592,8597,8601,8602,8603,8604,8605,8606,8625,8639,8640,8658,8660,8664,8665,8666,8667,8668,8688,8689,8690,8700,8713,8716,8728,8733,8735,8737,8738,8739,8746,8747,8753,8761,8764,8781,8782,8784,8792,8793,8801,8820,8833,8837,8858,8880,8881,8884,8885,8891,8900,8901,8924,8935,8945,8946,8947,8950,8973,8974,8985,9034,9040,9046,9048,9064,9067,9078,9079,9080,9091,9155,9186,9187,9188,9203,9220,9228,9256,9257])).
% 164.10/163.70 cnf(11428,plain,
% 164.10/163.70 (P107(f316(f316(f224(f905(x114281,a895)),x114282),f231(f905(x114281,a895))))),
% 164.10/163.70 inference(rename_variables,[],[3822])).
% 164.10/163.70 cnf(11434,plain,
% 164.10/163.70 (~P107(f316(f316(f244(x114341,x114342,a895,f316(f162(x114343),f103(x114343))),x114344),x114345))),
% 164.10/163.70 inference(scs_inference,[],[3681,4589,10414,10424,10437,10448,10451,10555,10558,10561,10663,10798,11108,11301,11304,11327,4595,10647,10747,11211,3244,3294,3408,10486,10489,10582,10585,3385,3898,3284,3345,3280,3307,3292,3910,3505,11058,3378,4071,4602,10477,4632,11237,3550,3343,10547,4214,4073,11257,4650,11160,11409,4651,11290,4652,3363,3641,3804,3741,3953,3514,10566,10686,10764,10837,10840,10880,10980,11227,3891,3431,4626,10454,10457,10483,10607,10782,10988,11003,11118,4638,3878,3650,4021,3474,3476,3450,4623,4597,4630,10442,10445,10615,10710,10729,10736,10759,10767,10770,10787,10973,11214,4176,4082,11055,4130,3805,4164,3822,10610,10707,11260,11345,4642,11006,3447,10575,10673,10823,10887,10962,11009,11012,11043,11066,11102,11140,3448,10602,10658,10892,10983,3449,4622,10494,10523,11027,11069,3597,10752,10843,11113,11157,11399,4634,11036,11149,11170,11173,11240,11243,11254,11361,11369,11383,3507,10874,10904,10913,10916,3539,3957,3896,10526,4631,10474,10862,10865,11364,3468,10907,11063,4255,4628,3965,4614,4617,3424,3428,4616,4615,4644,10773,4649,11246,4039,3886,11176,11182,3737,3888,10910,3598,3704,10826,10829,10922,11089,4647,4648,10666,4310,3919,4645,10499,10502,10868,3889,10832,4150,4661,4687,4742,4746,4770,4785,4792,4794,4830,4835,4864,4870,4956,4982,4983,4998,5024,5052,5053,5076,5077,5091,5095,5120,5126,5142,5146,5147,5148,5153,5154,5177,5202,5204,5205,5215,5220,5226,5262,5263,5271,5279,5283,5285,5299,5302,5308,5313,5314,5327,5333,5336,5337,5341,5369,5384,5393,5395,5396,5399,5400,5401,5411,5413,5419,5420,5421,5427,5431,5432,5433,5441,5445,5446,5452,5465,5473,5486,5488,5496,5498,5499,5502,5506,5533,5547,5548,5563,5575,5597,5603,5627,5628,5631,5650,5658,5659,5664,5665,5675,5677,5690,5694,5703,5704,5706,5707,5723,5728,5737,5738,5749,5756,5770,5774,5777,5783,5784,5785,5788,5793,5829,5830,5833,5835,5837,5839,5840,5841,5843,5845,5847,5852,5859,5874,5888,5895,5896,5908,5919,5920,5927,5931,5933,5938,5946,5984,5998,6007,6010,6019,6023,6024,6025,6026,6027,6032,6037,6047,6053,6071,6075,6084,6113,6129,6155,6172,6173,6176,6191,6193,6195,6197,6212,6213,6216,6218,6221,6222,6239,6247,6248,6249,6251,6253,6290,6291,6296,6299,6305,6309,6343,6345,6347,6349,6359,6361,6364,6370,6372,6377,6380,6388,6396,6398,6399,6406,6429,6430,6431,6432,6433,6435,6441,6446,6480,6481,6484,6485,6486,6488,6489,6490,6491,6498,6533,6534,6543,6564,6565,6589,6591,6603,6604,6610,6640,6642,6657,6698,6700,6701,6757,6780,6823,6838,6846,6855,6856,6857,6858,6878,6879,6886,6898,6901,6903,6905,6906,6907,6909,6923,6934,6935,6936,6949,7003,7014,7016,7038,7039,7075,7082,7089,7119,7150,7206,7235,7292,7313,7322,7325,7385,7395,7457,7459,7473,7482,7483,7484,7501,7505,7507,7554,7564,7567,7582,7629,7631,7634,7678,7679,7697,7767,7785,7809,7833,7845,7859,7870,7881,7882,7908,7910,7912,7923,7963,7974,7999,8026,8058,8089,8123,8162,8178,8180,8196,8197,8263,8274,8339,8363,8383,8410,8449,8450,8467,8507,8509,8511,8517,8532,8536,8551,8572,8580,8582,8592,8597,8601,8602,8603,8604,8605,8606,8625,8639,8640,8658,8660,8664,8665,8666,8667,8668,8688,8689,8690,8700,8713,8716,8728,8733,8735,8737,8738,8739,8746,8747,8753,8761,8764,8781,8782,8784,8792,8793,8801,8820,8833,8837,8858,8880,8881,8884,8885,8891,8900,8901,8924,8935,8945,8946,8947,8950,8973,8974,8985,9034,9040,9046,9048,9064,9067,9078,9079,9080,9091,9155,9186,9187,9188,9203,9220,9228,9256,9257,9326,9359,9365])).
% 164.10/163.70 cnf(11435,plain,
% 164.10/163.70 (~P107(f316(f316(f162(x114351),f103(x114351)),x114352))),
% 164.10/163.70 inference(rename_variables,[],[4630])).
% 164.10/163.70 cnf(11440,plain,
% 164.10/163.70 (~P107(f316(f316(f318(x114401),x114402),f178(f905(x114401,a895))))),
% 164.10/163.70 inference(rename_variables,[],[4634])).
% 164.10/163.70 cnf(11443,plain,
% 164.10/163.70 (~P107(f316(f316(f318(f904(x114431,x114431)),f316(f316(f241(x114431,x114431),x114432),x114433)),f143(x114431,f103(f905(x114431,a898)))))),
% 164.10/163.70 inference(rename_variables,[],[4649])).
% 164.10/163.70 cnf(11446,plain,
% 164.10/163.70 (P107(f316(f316(f224(f905(x114461,a895)),x114462),x114462))),
% 164.10/163.70 inference(rename_variables,[],[3737])).
% 164.10/163.70 cnf(11449,plain,
% 164.10/163.70 (~P107(f316(f316(f318(x114491),x114492),f178(f905(x114491,a895))))),
% 164.10/163.70 inference(rename_variables,[],[4634])).
% 164.10/163.70 cnf(11451,plain,
% 164.10/163.70 (P107(f316(f316(f224(f905(x114511,a895)),f316(f274(x114512,x114511,f178(f905(f904(x114512,x114511),a895))),x114513)),x114514))),
% 164.10/163.70 inference(scs_inference,[],[3681,4589,10414,10424,10437,10448,10451,10555,10558,10561,10663,10798,11108,11301,11304,11327,4595,10647,10747,11211,3244,3294,3408,10486,10489,10582,10585,3385,3898,3284,3345,3280,3307,3292,3910,3505,11058,3378,4071,4602,10477,4632,11237,3550,3343,10547,4214,4073,11257,4650,11160,11409,4651,11290,4652,3363,3641,3804,3741,3953,3514,10566,10686,10764,10837,10840,10880,10980,11227,3891,3431,4626,10454,10457,10483,10607,10782,10988,11003,11118,4638,3878,3650,4021,3474,3476,3450,4623,4597,4630,10442,10445,10615,10710,10729,10736,10759,10767,10770,10787,10973,11214,4176,4082,11055,4130,3805,4164,3822,10610,10707,11260,11345,4642,11006,3447,10575,10673,10823,10887,10962,11009,11012,11043,11066,11102,11140,3448,10602,10658,10892,10983,3449,4622,10494,10523,11027,11069,3597,10752,10843,11113,11157,11399,4634,11036,11149,11170,11173,11240,11243,11254,11361,11369,11383,11423,11440,3507,10874,10904,10913,10916,3539,3957,3896,10526,4631,10474,10862,10865,11364,3468,10907,11063,4255,4628,3965,4614,4617,3424,3428,4616,4615,4644,10773,4649,11246,11249,4039,3886,11176,11182,3737,11318,3888,10910,11279,3598,3704,10826,10829,10922,11089,4647,4648,10666,4310,3919,4645,10499,10502,10868,3889,10832,4150,4661,4687,4742,4746,4770,4785,4792,4794,4830,4835,4864,4870,4956,4982,4983,4998,5024,5052,5053,5076,5077,5091,5095,5120,5126,5142,5146,5147,5148,5153,5154,5177,5202,5204,5205,5215,5220,5226,5262,5263,5271,5279,5283,5285,5299,5302,5308,5313,5314,5327,5333,5336,5337,5341,5369,5384,5393,5395,5396,5399,5400,5401,5411,5413,5419,5420,5421,5427,5431,5432,5433,5441,5445,5446,5452,5465,5473,5486,5488,5496,5498,5499,5502,5506,5533,5547,5548,5563,5575,5597,5603,5627,5628,5631,5650,5658,5659,5664,5665,5675,5677,5690,5694,5703,5704,5706,5707,5723,5728,5737,5738,5749,5756,5770,5774,5777,5783,5784,5785,5788,5793,5829,5830,5833,5835,5837,5839,5840,5841,5843,5845,5847,5852,5859,5874,5888,5895,5896,5908,5919,5920,5927,5931,5933,5938,5946,5984,5998,6007,6010,6019,6023,6024,6025,6026,6027,6032,6037,6047,6053,6071,6075,6084,6113,6129,6155,6172,6173,6176,6191,6193,6195,6197,6212,6213,6216,6218,6221,6222,6239,6247,6248,6249,6251,6253,6290,6291,6296,6299,6305,6309,6343,6345,6347,6349,6359,6361,6364,6370,6372,6377,6380,6388,6396,6398,6399,6406,6429,6430,6431,6432,6433,6435,6441,6446,6480,6481,6484,6485,6486,6488,6489,6490,6491,6498,6533,6534,6543,6564,6565,6589,6591,6603,6604,6610,6640,6642,6657,6698,6700,6701,6757,6780,6823,6838,6846,6855,6856,6857,6858,6878,6879,6886,6898,6901,6903,6905,6906,6907,6909,6923,6934,6935,6936,6949,7003,7014,7016,7038,7039,7075,7082,7089,7119,7150,7206,7235,7292,7313,7322,7325,7385,7395,7457,7459,7473,7482,7483,7484,7501,7505,7507,7554,7564,7567,7582,7629,7631,7634,7678,7679,7697,7767,7785,7809,7833,7845,7859,7870,7881,7882,7908,7910,7912,7923,7963,7974,7999,8026,8058,8089,8123,8162,8178,8180,8196,8197,8263,8274,8339,8363,8383,8410,8449,8450,8467,8507,8509,8511,8517,8532,8536,8551,8572,8580,8582,8592,8597,8601,8602,8603,8604,8605,8606,8625,8639,8640,8658,8660,8664,8665,8666,8667,8668,8688,8689,8690,8700,8713,8716,8728,8733,8735,8737,8738,8739,8746,8747,8753,8761,8764,8781,8782,8784,8792,8793,8801,8820,8833,8837,8858,8880,8881,8884,8885,8891,8900,8901,8924,8935,8945,8946,8947,8950,8973,8974,8985,9034,9040,9046,9048,9064,9067,9078,9079,9080,9091,9155,9186,9187,9188,9203,9220,9228,9256,9257,9326,9359,9365,9375,9376,9377,9386,9416,9432])).
% 164.10/163.70 cnf(11452,plain,
% 164.10/163.70 (P107(f316(f316(f224(f905(x114521,a895)),f178(f905(x114521,a895))),x114522))),
% 164.10/163.70 inference(rename_variables,[],[3888])).
% 164.10/163.70 cnf(11455,plain,
% 164.10/163.70 (P107(f316(f316(f318(f904(x114551,x114551)),f316(f316(f241(x114551,x114551),x114552),x114552)),f296(x114551,x114553)))),
% 164.10/163.70 inference(rename_variables,[],[4073])).
% 164.10/163.70 cnf(11457,plain,
% 164.10/163.70 (~P33(x114571,x114572,x114573,f316(f316(f144(x114574,x114571),x114575),f316(a102,f103(x114574))),f103(x114572))),
% 164.10/163.70 inference(scs_inference,[],[3681,4589,10414,10424,10437,10448,10451,10555,10558,10561,10663,10798,11108,11301,11304,11327,4595,10647,10747,11211,3244,3294,3408,10486,10489,10582,10585,3385,3898,3284,3345,3280,3307,3292,3910,3505,11058,3378,4071,4602,10477,4632,11237,3550,3343,10547,4214,4073,11257,11396,4650,11160,11409,4651,11290,4652,3363,3641,3804,3741,3953,3514,10566,10686,10764,10837,10840,10880,10980,11227,3891,3431,4626,10454,10457,10483,10607,10782,10988,11003,11118,4638,3878,3650,4021,3474,3476,3450,4623,4597,4630,10442,10445,10615,10710,10729,10736,10759,10767,10770,10787,10973,11214,4176,4082,11055,4130,3805,4164,3822,10610,10707,11260,11345,4642,11006,3447,10575,10673,10823,10887,10962,11009,11012,11043,11066,11102,11140,3448,10602,10658,10892,10983,3449,4622,10494,10523,11027,11069,3597,10752,10843,11113,11157,11399,4634,11036,11149,11170,11173,11240,11243,11254,11361,11369,11383,11423,11440,3507,10874,10904,10913,10916,3539,3957,3896,10526,4631,10474,10862,10865,11364,3468,10907,11063,4255,4628,3965,4614,4617,3424,3428,4616,4615,4644,10773,4649,11246,11249,4039,3886,11176,11182,3737,11318,3888,10910,11279,3598,3704,10826,10829,10922,11089,4647,4648,10666,4310,3919,4645,10499,10502,10868,3889,10832,4150,4661,4687,4742,4746,4770,4785,4792,4794,4830,4835,4864,4870,4956,4982,4983,4998,5024,5052,5053,5076,5077,5091,5095,5120,5126,5142,5146,5147,5148,5153,5154,5177,5202,5204,5205,5215,5220,5226,5262,5263,5271,5279,5283,5285,5299,5302,5308,5313,5314,5327,5333,5336,5337,5341,5369,5384,5393,5395,5396,5399,5400,5401,5411,5413,5419,5420,5421,5427,5431,5432,5433,5441,5445,5446,5452,5465,5473,5486,5488,5496,5498,5499,5502,5506,5533,5547,5548,5563,5575,5597,5603,5627,5628,5631,5650,5658,5659,5664,5665,5675,5677,5690,5694,5703,5704,5706,5707,5723,5728,5737,5738,5749,5756,5770,5774,5777,5783,5784,5785,5788,5793,5829,5830,5833,5835,5837,5839,5840,5841,5843,5845,5847,5852,5859,5874,5888,5895,5896,5908,5919,5920,5927,5931,5933,5938,5946,5984,5998,6007,6010,6019,6023,6024,6025,6026,6027,6032,6037,6047,6053,6071,6075,6084,6113,6129,6155,6172,6173,6176,6191,6193,6195,6197,6212,6213,6216,6218,6221,6222,6239,6247,6248,6249,6251,6253,6290,6291,6296,6299,6305,6309,6343,6345,6347,6349,6359,6361,6364,6370,6372,6377,6380,6388,6396,6398,6399,6406,6429,6430,6431,6432,6433,6435,6441,6446,6480,6481,6484,6485,6486,6488,6489,6490,6491,6498,6533,6534,6543,6564,6565,6589,6591,6603,6604,6610,6640,6642,6657,6698,6700,6701,6757,6780,6823,6838,6846,6855,6856,6857,6858,6878,6879,6886,6898,6901,6903,6905,6906,6907,6909,6923,6934,6935,6936,6949,7003,7014,7016,7038,7039,7075,7082,7089,7119,7150,7206,7235,7292,7313,7322,7325,7385,7395,7457,7459,7473,7482,7483,7484,7501,7505,7507,7554,7564,7567,7582,7629,7631,7634,7678,7679,7697,7767,7785,7809,7833,7845,7859,7870,7881,7882,7908,7910,7912,7923,7963,7974,7999,8026,8058,8089,8123,8162,8178,8180,8196,8197,8263,8274,8339,8363,8383,8410,8449,8450,8467,8507,8509,8511,8517,8532,8536,8551,8572,8580,8582,8592,8597,8601,8602,8603,8604,8605,8606,8625,8639,8640,8658,8660,8664,8665,8666,8667,8668,8688,8689,8690,8700,8713,8716,8728,8733,8735,8737,8738,8739,8746,8747,8753,8761,8764,8781,8782,8784,8792,8793,8801,8820,8833,8837,8858,8880,8881,8884,8885,8891,8900,8901,8924,8935,8945,8946,8947,8950,8973,8974,8985,9034,9040,9046,9048,9064,9067,9078,9079,9080,9091,9155,9186,9187,9188,9203,9220,9228,9256,9257,9326,9359,9365,9375,9376,9377,9386,9416,9432,9436,9440])).
% 164.10/163.70 cnf(11461,plain,
% 164.10/163.70 (P33(x114611,x114612,x114613,f316(f316(f144(x114614,x114611),x114615),f104(x114614,f103(x114614))),f103(x114612))),
% 164.10/163.70 inference(scs_inference,[],[3681,4589,10414,10424,10437,10448,10451,10555,10558,10561,10663,10798,11108,11301,11304,11327,4595,10647,10747,11211,3244,3294,3408,10486,10489,10582,10585,3385,3898,3284,3345,3280,3307,3292,3910,3505,11058,3378,4071,4602,10477,4632,11237,3550,3343,10547,4214,4073,11257,11396,4650,11160,11409,4651,11290,4652,3363,3641,3804,3741,3953,3514,10566,10686,10764,10837,10840,10880,10980,11227,3891,3431,4626,10454,10457,10483,10607,10782,10988,11003,11118,4638,3878,3650,4021,3474,3476,3450,4623,4597,4630,10442,10445,10615,10710,10729,10736,10759,10767,10770,10787,10973,11214,4176,4082,11055,4130,3805,4164,3822,10610,10707,11260,11345,4642,11006,3447,10575,10673,10823,10887,10962,11009,11012,11043,11066,11102,11140,3448,10602,10658,10892,10983,3449,4622,10494,10523,11027,11069,3597,10752,10843,11113,11157,11399,4634,11036,11149,11170,11173,11240,11243,11254,11361,11369,11383,11423,11440,3507,10874,10904,10913,10916,3539,3957,3896,10526,4631,10474,10862,10865,11364,3468,10907,11063,4255,4628,3965,4614,4617,3424,3428,4616,4615,4644,10773,4649,11246,11249,4039,3886,11176,11182,3737,11318,3888,10910,11279,3598,3704,10826,10829,10922,11089,4647,4648,10666,4310,3919,4645,10499,10502,10868,3889,10832,4150,4661,4687,4742,4746,4770,4785,4792,4794,4830,4835,4864,4870,4956,4982,4983,4998,5024,5052,5053,5076,5077,5091,5095,5120,5126,5142,5146,5147,5148,5153,5154,5177,5202,5204,5205,5215,5220,5226,5262,5263,5271,5279,5283,5285,5299,5302,5308,5313,5314,5327,5333,5336,5337,5341,5369,5384,5393,5395,5396,5399,5400,5401,5411,5413,5419,5420,5421,5427,5431,5432,5433,5441,5445,5446,5452,5465,5473,5486,5488,5496,5498,5499,5502,5506,5533,5547,5548,5563,5575,5597,5603,5627,5628,5631,5650,5658,5659,5664,5665,5675,5677,5690,5694,5703,5704,5706,5707,5723,5728,5737,5738,5749,5756,5770,5774,5777,5783,5784,5785,5788,5793,5829,5830,5833,5835,5837,5839,5840,5841,5843,5845,5847,5852,5859,5874,5888,5895,5896,5908,5919,5920,5927,5931,5933,5938,5946,5984,5998,6007,6010,6019,6023,6024,6025,6026,6027,6032,6037,6047,6053,6071,6075,6084,6113,6129,6155,6172,6173,6176,6191,6193,6195,6197,6212,6213,6216,6218,6221,6222,6239,6247,6248,6249,6251,6253,6290,6291,6296,6299,6305,6309,6343,6345,6347,6349,6359,6361,6364,6370,6372,6377,6380,6388,6396,6398,6399,6406,6429,6430,6431,6432,6433,6435,6441,6446,6480,6481,6484,6485,6486,6488,6489,6490,6491,6498,6533,6534,6543,6564,6565,6589,6591,6603,6604,6610,6640,6642,6657,6698,6700,6701,6757,6780,6823,6838,6846,6855,6856,6857,6858,6878,6879,6886,6898,6901,6903,6905,6906,6907,6909,6923,6934,6935,6936,6949,7003,7014,7016,7038,7039,7075,7082,7089,7119,7150,7206,7235,7292,7313,7322,7325,7385,7395,7457,7459,7473,7482,7483,7484,7501,7505,7507,7554,7564,7567,7582,7629,7631,7634,7678,7679,7697,7767,7785,7809,7833,7845,7859,7870,7881,7882,7908,7910,7912,7923,7963,7974,7999,8026,8058,8089,8123,8162,8178,8180,8196,8197,8263,8274,8339,8363,8383,8410,8449,8450,8467,8507,8509,8511,8517,8532,8536,8551,8572,8580,8582,8592,8597,8601,8602,8603,8604,8605,8606,8625,8639,8640,8658,8660,8664,8665,8666,8667,8668,8688,8689,8690,8700,8713,8716,8728,8733,8735,8737,8738,8739,8746,8747,8753,8761,8764,8781,8782,8784,8792,8793,8801,8820,8833,8837,8858,8880,8881,8884,8885,8891,8900,8901,8924,8935,8945,8946,8947,8950,8973,8974,8985,9034,9040,9046,9048,9064,9067,9078,9079,9080,9091,9155,9186,9187,9188,9203,9220,9228,9256,9257,9326,9359,9365,9375,9376,9377,9386,9416,9432,9436,9440,9462,9463])).
% 164.10/163.70 cnf(11465,plain,
% 164.10/163.70 (~P107(f316(f316(f318(f904(f899(x114651),f899(x114651))),f316(f316(f241(f899(x114651),f899(x114651)),x114652),f103(x114651))),f316(f275(f899(x114651),f899(x114651)),f147(x114651,x114653))))),
% 164.10/163.70 inference(scs_inference,[],[3681,4589,10414,10424,10437,10448,10451,10555,10558,10561,10663,10798,11108,11301,11304,11327,4595,10647,10747,11211,3244,3294,3408,10486,10489,10582,10585,3385,3898,3284,3345,3280,3307,3292,3910,3505,11058,3378,4071,4602,10477,4632,11237,3550,3343,10547,4214,4073,11257,11396,4650,11160,11409,4651,11290,4652,11415,3363,3641,3804,3741,3953,3514,10566,10686,10764,10837,10840,10880,10980,11227,3891,3431,4626,10454,10457,10483,10607,10782,10988,11003,11118,4638,3878,3650,4021,3474,3476,3450,4623,4597,4630,10442,10445,10615,10710,10729,10736,10759,10767,10770,10787,10973,11214,4176,4082,11055,4130,3805,4164,3822,10610,10707,11260,11345,4642,11006,3447,10575,10673,10823,10887,10962,11009,11012,11043,11066,11102,11140,3448,10602,10658,10892,10983,3449,4622,10494,10523,11027,11069,3597,10752,10843,11113,11157,11399,4634,11036,11149,11170,11173,11240,11243,11254,11361,11369,11383,11423,11440,3507,10874,10904,10913,10916,3539,3957,3896,10526,4631,10474,10862,10865,11364,3468,10907,11063,4255,4628,3965,4614,4617,3424,3428,4616,4615,4644,10773,4649,11246,11249,4039,3886,11176,11182,3737,11318,3888,10910,11279,3598,3704,10826,10829,10922,11089,4647,4648,10666,4310,3919,4645,10499,10502,10868,3889,10832,4150,4661,4687,4742,4746,4770,4785,4792,4794,4830,4835,4864,4870,4956,4982,4983,4998,5024,5052,5053,5076,5077,5091,5095,5120,5126,5142,5146,5147,5148,5153,5154,5177,5202,5204,5205,5215,5220,5226,5262,5263,5271,5279,5283,5285,5299,5302,5308,5313,5314,5327,5333,5336,5337,5341,5369,5384,5393,5395,5396,5399,5400,5401,5411,5413,5419,5420,5421,5427,5431,5432,5433,5441,5445,5446,5452,5465,5473,5486,5488,5496,5498,5499,5502,5506,5533,5547,5548,5563,5575,5597,5603,5627,5628,5631,5650,5658,5659,5664,5665,5675,5677,5690,5694,5703,5704,5706,5707,5723,5728,5737,5738,5749,5756,5770,5774,5777,5783,5784,5785,5788,5793,5829,5830,5833,5835,5837,5839,5840,5841,5843,5845,5847,5852,5859,5874,5888,5895,5896,5908,5919,5920,5927,5931,5933,5938,5946,5984,5998,6007,6010,6019,6023,6024,6025,6026,6027,6032,6037,6047,6053,6071,6075,6084,6113,6129,6155,6172,6173,6176,6191,6193,6195,6197,6212,6213,6216,6218,6221,6222,6239,6247,6248,6249,6251,6253,6290,6291,6296,6299,6305,6309,6343,6345,6347,6349,6359,6361,6364,6370,6372,6377,6380,6388,6396,6398,6399,6406,6429,6430,6431,6432,6433,6435,6441,6446,6480,6481,6484,6485,6486,6488,6489,6490,6491,6498,6533,6534,6543,6564,6565,6589,6591,6603,6604,6610,6640,6642,6657,6698,6700,6701,6757,6780,6823,6838,6846,6855,6856,6857,6858,6878,6879,6886,6898,6901,6903,6905,6906,6907,6909,6923,6934,6935,6936,6949,7003,7014,7016,7038,7039,7075,7082,7089,7119,7150,7206,7235,7292,7313,7322,7325,7385,7395,7457,7459,7473,7482,7483,7484,7501,7505,7507,7554,7564,7567,7582,7629,7631,7634,7678,7679,7697,7767,7785,7809,7833,7845,7859,7870,7881,7882,7908,7910,7912,7923,7963,7974,7999,8026,8058,8089,8123,8162,8178,8180,8196,8197,8263,8274,8339,8363,8383,8410,8449,8450,8467,8507,8509,8511,8517,8532,8536,8551,8572,8580,8582,8592,8597,8601,8602,8603,8604,8605,8606,8625,8639,8640,8658,8660,8664,8665,8666,8667,8668,8688,8689,8690,8700,8713,8716,8728,8733,8735,8737,8738,8739,8746,8747,8753,8761,8764,8781,8782,8784,8792,8793,8801,8820,8833,8837,8858,8880,8881,8884,8885,8891,8900,8901,8924,8935,8945,8946,8947,8950,8973,8974,8985,9034,9040,9046,9048,9064,9067,9078,9079,9080,9091,9155,9186,9187,9188,9203,9220,9228,9256,9257,9326,9359,9365,9375,9376,9377,9386,9416,9432,9436,9440,9462,9463,9490,9552])).
% 164.10/163.70 cnf(11466,plain,
% 164.10/163.70 (~P107(f316(f316(f318(f904(f899(x114661),f899(x114661))),f316(f316(f241(f899(x114661),f899(x114661)),x114662),f103(x114661))),f147(x114661,x114663)))),
% 164.10/163.70 inference(rename_variables,[],[4652])).
% 164.10/163.70 cnf(11473,plain,
% 164.10/163.70 (~P107(f316(f316(f318(f904(f899(x114731),f899(x114731))),f316(f316(f241(f899(x114731),f899(x114731)),f103(x114731)),x114732)),f135(x114731,x114733)))),
% 164.10/163.70 inference(rename_variables,[],[4653])).
% 164.10/163.70 cnf(11478,plain,
% 164.10/163.70 (~P107(f316(f316(f318(f904(f905(x114781,a895),f905(x114781,a895))),f316(f316(f241(f905(x114781,a895),f905(x114781,a895)),x114782),f178(f905(x114781,a895)))),f303(x114781)))),
% 164.10/163.70 inference(scs_inference,[],[3681,4589,10414,10424,10437,10448,10451,10555,10558,10561,10663,10798,11108,11301,11304,11327,4595,10647,10747,11211,3244,3294,3408,10486,10489,10582,10585,3385,3898,3284,3345,3280,3307,3292,3910,3505,11058,3378,4071,4602,10477,4632,11237,3550,3343,10547,4214,4073,11257,11396,4650,11160,11409,4651,11290,4652,11415,4653,4654,3363,3641,3804,3741,3953,3514,10566,10686,10764,10837,10840,10880,10980,11227,3891,3431,4626,10454,10457,10483,10607,10782,10988,11003,11118,4638,3878,3650,4021,3474,3476,3450,4623,4597,4630,10442,10445,10615,10710,10729,10736,10759,10767,10770,10787,10973,11214,4176,4082,11055,4130,3805,4164,3822,10610,10707,11260,11345,4642,11006,11420,3447,10575,10673,10823,10887,10962,11009,11012,11043,11066,11102,11140,3448,10602,10658,10892,10983,3449,4622,10494,10523,11027,11069,3597,10752,10843,11113,11157,11399,4634,11036,11149,11170,11173,11240,11243,11254,11361,11369,11383,11423,11440,11449,3507,10874,10904,10913,10916,3539,3957,3896,10526,4631,10474,10862,10865,11364,3468,10907,11063,4255,4628,3965,4614,4617,3424,3428,4616,4615,4644,10773,4649,11246,11249,4039,3886,11176,11182,3737,11318,3888,10910,11279,3598,3704,10826,10829,10922,11089,4647,4648,10666,4310,3919,4645,10499,10502,10868,3889,10832,4150,4661,4687,4742,4746,4770,4785,4792,4794,4830,4835,4864,4870,4956,4982,4983,4998,5024,5052,5053,5076,5077,5091,5095,5120,5126,5142,5146,5147,5148,5153,5154,5177,5202,5204,5205,5215,5220,5226,5262,5263,5271,5279,5283,5285,5299,5302,5308,5313,5314,5327,5333,5336,5337,5341,5369,5384,5393,5395,5396,5399,5400,5401,5411,5413,5419,5420,5421,5427,5431,5432,5433,5441,5445,5446,5452,5465,5473,5486,5488,5496,5498,5499,5502,5506,5533,5547,5548,5563,5575,5597,5603,5627,5628,5631,5650,5658,5659,5664,5665,5675,5677,5690,5694,5703,5704,5706,5707,5723,5728,5737,5738,5749,5756,5770,5774,5777,5783,5784,5785,5788,5793,5829,5830,5833,5835,5837,5839,5840,5841,5843,5845,5847,5852,5859,5874,5888,5895,5896,5908,5919,5920,5927,5931,5933,5938,5946,5984,5998,6007,6010,6019,6023,6024,6025,6026,6027,6032,6037,6047,6053,6071,6075,6084,6113,6129,6155,6172,6173,6176,6191,6193,6195,6197,6212,6213,6216,6218,6221,6222,6239,6247,6248,6249,6251,6253,6290,6291,6296,6299,6305,6309,6343,6345,6347,6349,6359,6361,6364,6370,6372,6377,6380,6388,6396,6398,6399,6406,6429,6430,6431,6432,6433,6435,6441,6446,6480,6481,6484,6485,6486,6488,6489,6490,6491,6498,6533,6534,6543,6564,6565,6589,6591,6603,6604,6610,6640,6642,6657,6698,6700,6701,6757,6780,6823,6838,6846,6855,6856,6857,6858,6878,6879,6886,6898,6901,6903,6905,6906,6907,6909,6923,6934,6935,6936,6949,7003,7014,7016,7038,7039,7075,7082,7089,7119,7150,7206,7235,7292,7313,7322,7325,7385,7395,7457,7459,7473,7482,7483,7484,7501,7505,7507,7554,7564,7567,7582,7629,7631,7634,7678,7679,7697,7767,7785,7809,7833,7845,7859,7870,7881,7882,7908,7910,7912,7923,7963,7974,7999,8026,8058,8089,8123,8162,8178,8180,8196,8197,8263,8274,8339,8363,8383,8410,8449,8450,8467,8507,8509,8511,8517,8532,8536,8551,8572,8580,8582,8592,8597,8601,8602,8603,8604,8605,8606,8625,8639,8640,8658,8660,8664,8665,8666,8667,8668,8688,8689,8690,8700,8713,8716,8728,8733,8735,8737,8738,8739,8746,8747,8753,8761,8764,8781,8782,8784,8792,8793,8801,8820,8833,8837,8858,8880,8881,8884,8885,8891,8900,8901,8924,8935,8945,8946,8947,8950,8973,8974,8985,9034,9040,9046,9048,9064,9067,9078,9079,9080,9091,9155,9186,9187,9188,9203,9220,9228,9256,9257,9326,9359,9365,9375,9376,9377,9386,9416,9432,9436,9440,9462,9463,9490,9552,9557,9560,9597,9598,9599])).
% 164.10/163.70 cnf(11481,plain,
% 164.10/163.70 (P107(f316(f316(f318(x114811),x114812),f231(f905(x114811,a895))))),
% 164.10/163.70 inference(rename_variables,[],[3597])).
% 164.10/163.70 cnf(11486,plain,
% 164.10/163.70 (P107(f316(f316(f224(f905(x114861,a895)),f178(f905(x114861,a895))),x114862))),
% 164.10/163.70 inference(rename_variables,[],[3888])).
% 164.10/163.70 cnf(11489,plain,
% 164.10/163.70 (~P107(f316(f316(f318(x114891),x114892),f178(f905(x114891,a895))))),
% 164.10/163.70 inference(rename_variables,[],[4634])).
% 164.10/163.70 cnf(11492,plain,
% 164.10/163.70 (P107(f316(f316(f224(f905(x114921,a895)),x114922),f231(f905(x114921,a895))))),
% 164.10/163.70 inference(rename_variables,[],[3822])).
% 164.10/163.70 cnf(11496,plain,
% 164.10/163.70 (P107(f316(f316(f224(f905(x114961,a895)),f316(f274(x114962,x114961,x114963),f178(f905(x114962,a895)))),x114964))),
% 164.10/163.70 inference(scs_inference,[],[3681,4589,10414,10424,10437,10448,10451,10555,10558,10561,10663,10798,11108,11301,11304,11327,4595,10647,10747,11211,3244,3294,3408,10486,10489,10582,10585,3385,3898,3284,3345,3280,3307,3292,3910,3505,11058,3378,4071,4602,10477,4632,11237,3550,3343,10547,4214,4073,11257,11396,4650,11160,11409,4651,11290,4652,11415,4653,4654,3363,3641,3804,3741,3953,3514,10566,10686,10764,10837,10840,10880,10980,11227,3891,3431,4626,10454,10457,10483,10607,10782,10988,11003,11118,4638,3878,3650,4021,3474,3476,3450,4623,4597,4630,10442,10445,10615,10710,10729,10736,10759,10767,10770,10787,10973,11214,4176,4082,11055,4130,3805,4164,3822,10610,10707,11260,11345,11428,4642,11006,11420,3447,10575,10673,10823,10887,10962,11009,11012,11043,11066,11102,11140,3448,10602,10658,10892,10983,3449,4622,10494,10523,11027,11069,3597,10752,10843,11113,11157,11399,11402,4634,11036,11149,11170,11173,11240,11243,11254,11361,11369,11383,11423,11440,11449,3507,10874,10904,10913,10916,3539,3957,3896,10526,4631,10474,10862,10865,11364,3468,10907,11063,4255,4628,3965,4614,4617,3424,3428,4616,4615,4644,10773,4649,11246,11249,4039,3886,11176,11182,3737,11318,3888,10910,11279,11452,11486,3598,3704,10826,10829,10922,11089,4647,4648,10666,4310,4218,3919,4645,10499,10502,10868,3889,10832,4150,4661,4687,4742,4746,4770,4785,4792,4794,4830,4835,4864,4870,4956,4982,4983,4998,5024,5052,5053,5076,5077,5091,5095,5120,5126,5142,5146,5147,5148,5153,5154,5177,5202,5204,5205,5215,5220,5226,5262,5263,5271,5279,5283,5285,5299,5302,5308,5313,5314,5327,5333,5336,5337,5341,5369,5384,5393,5395,5396,5399,5400,5401,5411,5413,5419,5420,5421,5427,5431,5432,5433,5441,5445,5446,5452,5465,5473,5486,5488,5496,5498,5499,5502,5506,5533,5547,5548,5563,5575,5597,5603,5627,5628,5631,5650,5658,5659,5664,5665,5675,5677,5690,5694,5703,5704,5706,5707,5723,5728,5737,5738,5749,5756,5770,5774,5777,5783,5784,5785,5788,5793,5829,5830,5833,5835,5837,5839,5840,5841,5843,5845,5847,5852,5859,5874,5888,5895,5896,5908,5919,5920,5927,5931,5933,5938,5946,5984,5998,6007,6010,6019,6023,6024,6025,6026,6027,6032,6037,6047,6053,6071,6075,6084,6113,6129,6155,6172,6173,6176,6191,6193,6195,6197,6212,6213,6216,6218,6221,6222,6239,6247,6248,6249,6251,6253,6290,6291,6296,6299,6305,6309,6343,6345,6347,6349,6359,6361,6364,6370,6372,6377,6380,6388,6396,6398,6399,6406,6429,6430,6431,6432,6433,6435,6441,6446,6480,6481,6484,6485,6486,6488,6489,6490,6491,6498,6533,6534,6543,6564,6565,6589,6591,6603,6604,6610,6640,6642,6657,6698,6700,6701,6757,6780,6823,6838,6846,6855,6856,6857,6858,6878,6879,6886,6898,6901,6903,6905,6906,6907,6909,6923,6934,6935,6936,6949,7003,7014,7016,7038,7039,7075,7082,7089,7119,7150,7206,7235,7292,7313,7322,7325,7385,7395,7457,7459,7473,7482,7483,7484,7501,7505,7507,7554,7564,7567,7582,7629,7631,7634,7678,7679,7697,7767,7785,7809,7833,7845,7859,7870,7881,7882,7908,7910,7912,7923,7963,7974,7999,8026,8058,8089,8123,8162,8178,8180,8196,8197,8263,8274,8339,8363,8383,8410,8449,8450,8467,8507,8509,8511,8517,8532,8536,8551,8572,8580,8582,8592,8597,8601,8602,8603,8604,8605,8606,8625,8639,8640,8658,8660,8664,8665,8666,8667,8668,8688,8689,8690,8700,8713,8716,8728,8733,8735,8737,8738,8739,8746,8747,8753,8761,8764,8781,8782,8784,8792,8793,8801,8820,8833,8837,8858,8880,8881,8884,8885,8891,8900,8901,8924,8935,8945,8946,8947,8950,8973,8974,8985,9034,9040,9046,9048,9064,9067,9078,9079,9080,9091,9155,9186,9187,9188,9203,9220,9228,9256,9257,9326,9359,9365,9375,9376,9377,9386,9416,9432,9436,9440,9462,9463,9490,9552,9557,9560,9597,9598,9599,9627,9628,9644,9665,9671,9683,9708])).
% 164.10/163.70 cnf(11497,plain,
% 164.10/163.70 (P107(f316(f316(f224(f905(x114971,a895)),f178(f905(x114971,a895))),x114972))),
% 164.10/163.70 inference(rename_variables,[],[3888])).
% 164.10/163.70 cnf(11499,plain,
% 164.10/163.70 (~P107(f316(f59(a898,x114991,x114992,x114993,f231(f905(a898,a895))),x114994))),
% 164.10/163.70 inference(scs_inference,[],[3681,4589,10414,10424,10437,10448,10451,10555,10558,10561,10663,10798,11108,11301,11304,11327,4595,10647,10747,11211,3244,3294,3408,10486,10489,10582,10585,3385,3898,3284,3345,3280,3307,3292,3910,3505,11058,3378,4071,4602,10477,4632,11237,3550,3343,10547,4214,4073,11257,11396,4650,11160,11409,4651,11290,4652,11415,4653,4654,3363,3641,3804,3741,3953,3514,10566,10686,10764,10837,10840,10880,10980,11227,3891,3431,4626,10454,10457,10483,10607,10782,10988,11003,11118,4638,3878,3650,4021,3474,3476,3450,4623,4597,4630,10442,10445,10615,10710,10729,10736,10759,10767,10770,10787,10973,11214,4176,4082,11055,4130,3805,4164,3822,10610,10707,11260,11345,11428,4642,11006,11420,3447,10575,10673,10823,10887,10962,11009,11012,11043,11066,11102,11140,3448,10602,10658,10892,10983,3449,4622,10494,10523,11027,11069,3597,10752,10843,11113,11157,11399,11402,4634,11036,11149,11170,11173,11240,11243,11254,11361,11369,11383,11423,11440,11449,3507,10874,10904,10913,10916,3539,3957,3896,10526,4631,10474,10862,10865,11364,3468,10907,11063,4255,4628,3965,4614,4617,3424,3428,4616,4615,4644,10773,4649,11246,11249,4039,3886,11176,11182,3737,11318,3888,10910,11279,11452,11486,3598,3704,10826,10829,10922,11089,4647,4648,10666,4310,4218,3919,4645,10499,10502,10868,3889,10832,4150,4661,4687,4742,4746,4770,4785,4792,4794,4830,4835,4864,4870,4956,4982,4983,4998,5024,5052,5053,5076,5077,5091,5095,5120,5126,5142,5146,5147,5148,5153,5154,5177,5202,5204,5205,5215,5220,5226,5262,5263,5271,5279,5283,5285,5299,5302,5308,5313,5314,5327,5333,5336,5337,5341,5369,5384,5393,5395,5396,5399,5400,5401,5411,5413,5419,5420,5421,5427,5431,5432,5433,5441,5445,5446,5452,5465,5473,5486,5488,5496,5498,5499,5502,5506,5533,5547,5548,5563,5575,5597,5603,5627,5628,5631,5650,5658,5659,5664,5665,5675,5677,5690,5694,5703,5704,5706,5707,5723,5728,5737,5738,5749,5756,5770,5774,5777,5783,5784,5785,5788,5793,5829,5830,5833,5835,5837,5839,5840,5841,5843,5845,5847,5852,5859,5874,5888,5895,5896,5908,5919,5920,5927,5931,5933,5938,5946,5984,5998,6007,6010,6019,6023,6024,6025,6026,6027,6032,6037,6047,6053,6071,6075,6084,6113,6129,6155,6172,6173,6176,6191,6193,6195,6197,6212,6213,6216,6218,6221,6222,6239,6247,6248,6249,6251,6253,6290,6291,6296,6299,6305,6309,6343,6345,6347,6349,6359,6361,6364,6370,6372,6377,6380,6388,6396,6398,6399,6406,6429,6430,6431,6432,6433,6435,6441,6446,6480,6481,6484,6485,6486,6488,6489,6490,6491,6498,6533,6534,6543,6564,6565,6589,6591,6603,6604,6610,6640,6642,6657,6698,6700,6701,6757,6780,6823,6838,6846,6855,6856,6857,6858,6878,6879,6886,6898,6901,6903,6905,6906,6907,6909,6923,6934,6935,6936,6949,7003,7014,7016,7038,7039,7075,7082,7089,7119,7150,7206,7235,7292,7313,7322,7325,7385,7395,7457,7459,7473,7482,7483,7484,7501,7505,7507,7554,7564,7567,7582,7629,7631,7634,7678,7679,7697,7767,7785,7809,7833,7845,7859,7870,7881,7882,7908,7910,7912,7923,7963,7974,7999,8026,8058,8089,8123,8162,8178,8180,8196,8197,8263,8274,8339,8363,8383,8410,8449,8450,8467,8507,8509,8511,8517,8532,8536,8551,8572,8580,8582,8592,8597,8601,8602,8603,8604,8605,8606,8625,8639,8640,8658,8660,8664,8665,8666,8667,8668,8688,8689,8690,8700,8713,8716,8728,8733,8735,8737,8738,8739,8746,8747,8753,8761,8764,8781,8782,8784,8792,8793,8801,8820,8833,8837,8858,8880,8881,8884,8885,8891,8900,8901,8924,8935,8945,8946,8947,8950,8973,8974,8985,9034,9040,9046,9048,9064,9067,9078,9079,9080,9091,9155,9186,9187,9188,9203,9220,9228,9256,9257,9326,9359,9365,9375,9376,9377,9386,9416,9432,9436,9440,9462,9463,9490,9552,9557,9560,9597,9598,9599,9627,9628,9644,9665,9671,9683,9708,9729])).
% 164.10/163.70 cnf(11510,plain,
% 164.10/163.70 (P107(f316(f231(f905(x115101,a895)),x115102))),
% 164.10/163.70 inference(rename_variables,[],[3507])).
% 164.10/163.70 cnf(11518,plain,
% 164.10/163.70 (~P107(f316(f316(f318(f904(f899(x115181),f899(x115181))),f316(f316(f241(f899(x115181),f899(x115181)),x115182),f103(x115181))),f135(x115181,x115183)))),
% 164.10/163.70 inference(rename_variables,[],[4650])).
% 164.10/163.70 cnf(11521,plain,
% 164.10/163.70 (~P107(f316(f316(f318(f904(f899(x115211),f899(x115211))),f316(f316(f241(f899(x115211),f899(x115211)),x115212),f103(x115211))),f137(x115211,x115213)))),
% 164.10/163.70 inference(rename_variables,[],[4651])).
% 164.10/163.70 cnf(11524,plain,
% 164.10/163.70 (~E(f316(f316(f141(x115241),x115242),x115243),x115243)),
% 164.10/163.70 inference(rename_variables,[],[4602])).
% 164.10/163.70 cnf(11527,plain,
% 164.10/163.70 (~E(f316(a102,x115271),x115271)),
% 164.10/163.70 inference(rename_variables,[],[4589])).
% 164.10/163.70 cnf(11530,plain,
% 164.10/163.70 (~P107(f316(f316(f318(x115301),x115302),f178(f905(x115301,a895))))),
% 164.10/163.70 inference(rename_variables,[],[4634])).
% 164.10/163.70 cnf(11535,plain,
% 164.10/163.70 (~P107(f316(f316(f318(x115351),x115352),f178(f905(x115351,a895))))),
% 164.10/163.70 inference(rename_variables,[],[4634])).
% 164.10/163.70 cnf(11538,plain,
% 164.10/163.70 (~P107(f316(f316(f318(x115381),x115382),f178(f905(x115381,a895))))),
% 164.10/163.70 inference(rename_variables,[],[4634])).
% 164.10/163.70 cnf(11541,plain,
% 164.10/163.70 (P107(f316(f316(f318(f904(f899(x115411),f899(x115411))),f316(f316(f241(f899(x115411),f899(x115411)),x115412),x115412)),f148(x115411,f296(x115411,x115413))))),
% 164.10/163.70 inference(rename_variables,[],[4207])).
% 164.10/163.70 cnf(11544,plain,
% 164.10/163.70 (~P107(f316(f316(f318(f904(f899(x115441),f899(x115441))),f316(f316(f241(f899(x115441),f899(x115441)),x115442),f103(x115441))),f135(x115441,x115443)))),
% 164.10/163.70 inference(rename_variables,[],[4650])).
% 164.10/163.70 cnf(11548,plain,
% 164.10/163.70 (E(f316(f316(f141(x115481),f646(f296(x115481,x115482),f316(f316(f141(x115481),x115483),x115484),x115484,x115483,x115481)),f647(f296(x115481,x115482),f316(f316(f141(x115481),x115483),x115484),x115484,x115483,x115481)),f316(f316(f141(x115481),x115483),x115484))),
% 164.10/163.70 inference(scs_inference,[],[3681,4589,10414,10424,10437,10448,10451,10555,10558,10561,10663,10798,11108,11301,11304,11327,11330,4595,10647,10747,11211,3244,3294,3408,10486,10489,10582,10585,3385,3898,3284,3345,3280,3307,3292,3910,3505,11058,3378,4071,4602,10477,10644,4632,11237,3550,3343,10547,4214,4073,11257,11396,4650,11160,11409,11518,4651,11290,11412,4652,11415,4653,11473,4654,3363,3641,3804,3741,3953,3514,10566,10686,10764,10837,10840,10880,10980,11227,3891,3431,4626,10454,10457,10483,10607,10782,10988,11003,11118,4638,3878,3650,4021,3474,3476,3450,4623,4597,4207,11541,4630,10442,10445,10615,10710,10729,10736,10759,10767,10770,10787,10973,11214,4176,4082,11055,4130,3805,4164,3822,10610,10707,11260,11345,11428,4642,11006,11420,3447,10575,10673,10823,10887,10962,11009,11012,11043,11066,11102,11140,3448,10602,10658,10892,10983,3449,4622,10494,10523,11027,11069,3597,10752,10843,11113,11157,11399,11402,4634,11036,11149,11170,11173,11240,11243,11254,11361,11369,11383,11423,11440,11449,11489,11530,11535,3507,10874,10904,10913,10916,10919,3539,3957,3896,10526,4631,10474,10862,10865,11364,3468,10907,11063,4255,4628,3965,4614,4617,3424,3428,4616,4615,4644,10773,4649,11246,11249,4039,3886,11176,11182,3737,11318,3888,10910,11279,11452,11486,3598,3704,10826,10829,10922,11089,4647,4648,10666,4310,4218,3919,4645,10499,10502,10868,3889,10832,4150,4661,4687,4742,4746,4770,4785,4792,4794,4830,4835,4864,4870,4956,4982,4983,4998,5024,5052,5053,5076,5077,5091,5095,5120,5126,5142,5146,5147,5148,5153,5154,5177,5202,5204,5205,5215,5220,5226,5262,5263,5271,5279,5283,5285,5299,5302,5308,5313,5314,5327,5333,5336,5337,5341,5369,5384,5393,5395,5396,5399,5400,5401,5411,5413,5419,5420,5421,5427,5431,5432,5433,5441,5445,5446,5452,5465,5473,5486,5488,5496,5498,5499,5502,5506,5533,5547,5548,5563,5575,5597,5603,5627,5628,5631,5650,5658,5659,5664,5665,5675,5677,5690,5694,5703,5704,5706,5707,5723,5728,5737,5738,5749,5756,5770,5774,5777,5783,5784,5785,5788,5793,5829,5830,5833,5835,5837,5839,5840,5841,5843,5845,5847,5852,5859,5874,5888,5895,5896,5908,5919,5920,5927,5931,5933,5938,5946,5984,5998,6007,6010,6019,6023,6024,6025,6026,6027,6032,6037,6047,6053,6071,6075,6084,6113,6129,6155,6172,6173,6176,6191,6193,6195,6197,6212,6213,6216,6218,6221,6222,6239,6247,6248,6249,6251,6253,6290,6291,6296,6299,6305,6309,6343,6345,6347,6349,6359,6361,6364,6370,6372,6377,6380,6388,6396,6398,6399,6406,6429,6430,6431,6432,6433,6435,6441,6446,6480,6481,6484,6485,6486,6488,6489,6490,6491,6498,6533,6534,6543,6564,6565,6589,6591,6603,6604,6610,6640,6642,6657,6698,6700,6701,6757,6780,6823,6838,6846,6855,6856,6857,6858,6878,6879,6886,6898,6901,6903,6905,6906,6907,6909,6923,6934,6935,6936,6949,7003,7014,7016,7038,7039,7075,7082,7089,7119,7150,7206,7235,7292,7313,7322,7325,7385,7395,7457,7459,7473,7482,7483,7484,7501,7505,7507,7554,7564,7567,7582,7629,7631,7634,7678,7679,7697,7767,7785,7809,7833,7845,7859,7870,7881,7882,7908,7910,7912,7923,7963,7974,7999,8026,8058,8089,8123,8162,8178,8180,8196,8197,8263,8274,8339,8363,8383,8410,8449,8450,8467,8507,8509,8511,8517,8532,8536,8551,8572,8580,8582,8592,8597,8601,8602,8603,8604,8605,8606,8625,8639,8640,8658,8660,8664,8665,8666,8667,8668,8688,8689,8690,8700,8713,8716,8728,8733,8735,8737,8738,8739,8746,8747,8753,8761,8764,8781,8782,8784,8792,8793,8801,8820,8833,8837,8858,8880,8881,8884,8885,8891,8900,8901,8924,8935,8945,8946,8947,8950,8973,8974,8985,9034,9040,9046,9048,9064,9067,9078,9079,9080,9091,9155,9186,9187,9188,9203,9220,9228,9256,9257,9326,9359,9365,9375,9376,9377,9386,9416,9432,9436,9440,9462,9463,9490,9552,9557,9560,9597,9598,9599,9627,9628,9644,9665,9671,9683,9708,9729,9738,9739,9740,9741,9756,9758,9763,9793,9794,9800,9801,9847,9848,9859,9860,9884,9903,9905,9906])).
% 164.10/163.70 cnf(11554,plain,
% 164.10/163.70 (~P107(f316(f316(f318(f904(x115541,x115541)),f316(f316(f241(x115541,x115541),x115542),x115543)),f143(x115541,f103(f905(x115541,a898)))))),
% 164.10/163.70 inference(rename_variables,[],[4649])).
% 164.10/163.70 cnf(11557,plain,
% 164.10/163.70 (~P107(f316(f316(f318(x115571),x115572),f178(f905(x115571,a895))))),
% 164.10/163.70 inference(rename_variables,[],[4634])).
% 164.10/163.70 cnf(11560,plain,
% 164.10/163.70 (~P107(f316(f316(f318(x115601),x115602),f178(f905(x115601,a895))))),
% 164.10/163.70 inference(rename_variables,[],[4634])).
% 164.10/163.70 cnf(11563,plain,
% 164.10/163.70 (P107(f316(f316(f318(x115631),x115632),f231(f905(x115631,a895))))),
% 164.10/163.70 inference(rename_variables,[],[3597])).
% 164.10/163.70 cnf(11566,plain,
% 164.10/163.70 (~P107(f316(f316(f225(a898),x115661),f2(a898)))),
% 164.10/163.70 inference(rename_variables,[],[4626])).
% 164.10/163.70 cnf(11571,plain,
% 164.10/163.70 (~P107(f316(f316(f318(f904(x115711,x115711)),f316(f316(f241(x115711,x115711),x115712),x115713)),f143(x115711,f103(f905(x115711,a898)))))),
% 164.10/163.70 inference(rename_variables,[],[4649])).
% 164.10/163.70 cnf(11580,plain,
% 164.10/163.70 (~E(f316(f299(x115801,f905(x115801,a895),x115802),x115803),f316(f297(x115801),x115803))),
% 164.10/163.70 inference(rename_variables,[],[4632])).
% 164.10/163.70 cnf(11583,plain,
% 164.10/163.70 (~E(f316(f299(x115831,f905(x115831,a895),x115832),x115833),f316(f297(x115831),x115833))),
% 164.10/163.70 inference(rename_variables,[],[4632])).
% 164.10/163.70 cnf(11585,plain,
% 164.10/163.70 (E(f316(f316(f241(a898,a898),f635(f296(a898,a306),a306,a898,f316(f316(f241(a898,a898),x115851),f316(a102,x115851)),a898,a898)),f636(f296(a898,a306),a306,a898,f316(f316(f241(a898,a898),x115851),f316(a102,x115851)),a898,a898)),f316(f316(f241(a898,a898),x115851),f316(a102,x115851)))),
% 164.10/163.70 inference(scs_inference,[],[3681,4589,10414,10424,10437,10448,10451,10555,10558,10561,10663,10798,11108,11301,11304,11327,11330,4595,10647,10747,11211,3244,3294,3408,10486,10489,10582,10585,3385,3898,3284,3345,3280,3307,3292,3910,3505,11058,3378,4071,4602,10477,10644,4632,11237,11340,11580,3550,3343,10547,4214,4073,11257,11396,4650,11160,11409,11518,4651,11290,11412,4652,11415,4653,11473,4654,3363,3641,3804,3741,3953,3514,10566,10686,10764,10837,10840,10880,10980,11227,3891,3431,4626,10454,10457,10483,10607,10782,10988,11003,11118,4638,3878,3650,4021,3474,3476,3450,4623,4597,4207,11541,4630,10442,10445,10615,10710,10729,10736,10759,10767,10770,10787,10973,11214,4176,4082,11055,4130,3805,4164,3822,10610,10707,11260,11345,11428,4642,11006,11420,3447,10575,10673,10823,10887,10962,11009,11012,11043,11066,11102,11140,3448,10602,10658,10892,10983,3449,4622,10494,10523,11027,11069,3597,10752,10843,11113,11157,11399,11402,11481,4634,11036,11149,11170,11173,11240,11243,11254,11361,11369,11383,11423,11440,11449,11489,11530,11535,11538,11557,3507,10874,10904,10913,10916,10919,3539,3957,3896,10526,4631,10474,10862,10865,11364,3468,10907,11063,4255,4628,3965,4614,4617,3424,3428,4616,4615,4644,10773,4649,11246,11249,11443,11554,4039,3886,11176,11182,3737,11318,3888,10910,11279,11452,11486,3598,3704,10826,10829,10922,11089,4647,4648,10666,4310,4218,3919,4645,10499,10502,10868,3889,10832,4150,4661,4687,4742,4746,4770,4785,4792,4794,4830,4835,4864,4870,4956,4982,4983,4998,5024,5052,5053,5076,5077,5091,5095,5120,5126,5142,5146,5147,5148,5153,5154,5177,5202,5204,5205,5215,5220,5226,5262,5263,5271,5279,5283,5285,5299,5302,5308,5313,5314,5327,5333,5336,5337,5341,5369,5384,5393,5395,5396,5399,5400,5401,5411,5413,5419,5420,5421,5427,5431,5432,5433,5441,5445,5446,5452,5465,5473,5486,5488,5496,5498,5499,5502,5506,5533,5547,5548,5563,5575,5597,5603,5627,5628,5631,5650,5658,5659,5664,5665,5675,5677,5690,5694,5703,5704,5706,5707,5723,5728,5737,5738,5749,5756,5770,5774,5777,5783,5784,5785,5788,5793,5829,5830,5833,5835,5837,5839,5840,5841,5843,5845,5847,5852,5859,5874,5888,5895,5896,5908,5919,5920,5927,5931,5933,5938,5946,5984,5998,6007,6010,6019,6023,6024,6025,6026,6027,6032,6037,6047,6053,6071,6075,6084,6113,6129,6155,6172,6173,6176,6191,6193,6195,6197,6212,6213,6216,6218,6221,6222,6239,6247,6248,6249,6251,6253,6290,6291,6296,6299,6305,6309,6343,6345,6347,6349,6359,6361,6364,6370,6372,6377,6380,6388,6396,6398,6399,6406,6429,6430,6431,6432,6433,6435,6441,6446,6480,6481,6484,6485,6486,6488,6489,6490,6491,6498,6533,6534,6543,6564,6565,6589,6591,6603,6604,6610,6640,6642,6657,6698,6700,6701,6757,6780,6823,6838,6846,6855,6856,6857,6858,6878,6879,6886,6898,6901,6903,6905,6906,6907,6909,6923,6934,6935,6936,6949,7003,7014,7016,7038,7039,7075,7082,7089,7119,7150,7206,7235,7292,7313,7322,7325,7385,7395,7457,7459,7473,7482,7483,7484,7501,7505,7507,7554,7564,7567,7582,7629,7631,7634,7678,7679,7697,7767,7785,7809,7833,7845,7859,7870,7881,7882,7908,7910,7912,7923,7963,7974,7999,8026,8058,8089,8123,8162,8178,8180,8196,8197,8263,8274,8339,8363,8383,8410,8449,8450,8467,8507,8509,8511,8517,8532,8536,8551,8572,8580,8582,8592,8597,8601,8602,8603,8604,8605,8606,8625,8639,8640,8658,8660,8664,8665,8666,8667,8668,8688,8689,8690,8700,8713,8716,8728,8733,8735,8737,8738,8739,8746,8747,8753,8761,8764,8781,8782,8784,8792,8793,8801,8820,8833,8837,8858,8880,8881,8884,8885,8891,8900,8901,8924,8935,8945,8946,8947,8950,8973,8974,8985,9034,9040,9046,9048,9064,9067,9078,9079,9080,9091,9155,9186,9187,9188,9203,9220,9228,9256,9257,9326,9359,9365,9375,9376,9377,9386,9416,9432,9436,9440,9462,9463,9490,9552,9557,9560,9597,9598,9599,9627,9628,9644,9665,9671,9683,9708,9729,9738,9739,9740,9741,9756,9758,9763,9793,9794,9800,9801,9847,9848,9859,9860,9884,9903,9905,9906,9914,9919,9926,9950,9985,9987,9991,10041,10077,10087,10089,10093,10094,10096])).
% 164.10/163.70 cnf(11588,plain,
% 164.10/163.70 (~P107(f316(f316(f318(f904(f899(x115881),f899(x115881))),f316(f316(f241(f899(x115881),f899(x115881)),x115882),f103(x115881))),f135(x115881,x115883)))),
% 164.10/163.70 inference(rename_variables,[],[4650])).
% 164.10/163.70 cnf(11594,plain,
% 164.10/163.70 (~P107(f316(f316(f318(f904(f899(x115941),f899(x115941))),f316(f316(f241(f899(x115941),f899(x115941)),x115942),f103(x115941))),f135(x115941,x115943)))),
% 164.10/163.70 inference(rename_variables,[],[4650])).
% 164.10/163.70 cnf(11597,plain,
% 164.10/163.70 (~P107(f316(f316(f318(x115971),x115972),f178(f905(x115971,a895))))),
% 164.10/163.70 inference(rename_variables,[],[4634])).
% 164.10/163.70 cnf(11599,plain,
% 164.10/163.70 (P107(f316(f316(f318(f904(x115991,x115992)),f316(f316(f241(x115991,x115992),f316(x115993,x115994)),f316(x115995,x115994))),f316(f299(f904(x115996,x115996),f904(x115991,x115992),f247(x115996,x115991,x115996,x115992,x115993,x115995)),f296(x115996,x115997))))),
% 164.10/163.70 inference(scs_inference,[],[3681,4589,10414,10424,10437,10448,10451,10555,10558,10561,10663,10798,11108,11301,11304,11327,11330,4595,10647,10747,11211,3244,3294,3408,10486,10489,10582,10585,3385,3898,3284,3345,3280,3307,3292,3910,3505,11058,3378,4071,4602,10477,10644,4632,11237,11340,11580,3550,3343,10547,4214,4073,11257,11396,11455,4650,11160,11409,11518,11544,11588,4651,11290,11412,11521,4652,11415,4653,11473,4654,3363,3641,3804,3741,3953,3514,10566,10686,10764,10837,10840,10880,10980,11227,3891,3431,4626,10454,10457,10483,10607,10782,10988,11003,11118,4638,3878,3650,4021,3474,3476,3450,4623,4597,4207,11541,4630,10442,10445,10615,10710,10729,10736,10759,10767,10770,10787,10973,11214,4176,4082,11055,4130,3805,4164,3822,10610,10707,11260,11345,11428,4642,11006,11420,3447,10575,10673,10823,10887,10962,11009,11012,11043,11066,11102,11140,3448,10602,10658,10892,10983,3449,4622,10494,10523,11027,11069,3597,10752,10843,11113,11157,11399,11402,11481,4634,11036,11149,11170,11173,11240,11243,11254,11361,11369,11383,11423,11440,11449,11489,11530,11535,11538,11557,11560,3507,10874,10904,10913,10916,10919,3539,3957,3896,10526,4631,10474,10862,10865,11364,3468,10907,11063,4255,4628,3965,4614,4617,3424,3428,4616,4615,4644,10773,4649,11246,11249,11443,11554,4039,3886,11176,11182,3737,11318,3888,10910,11279,11452,11486,3598,3704,10826,10829,10922,11089,4647,4648,10666,4310,4218,3919,4645,10499,10502,10868,3889,10832,4150,4661,4687,4742,4746,4770,4785,4792,4794,4830,4835,4864,4870,4956,4982,4983,4998,5024,5052,5053,5076,5077,5091,5095,5120,5126,5142,5146,5147,5148,5153,5154,5177,5202,5204,5205,5215,5220,5226,5262,5263,5271,5279,5283,5285,5299,5302,5308,5313,5314,5327,5333,5336,5337,5341,5369,5384,5393,5395,5396,5399,5400,5401,5411,5413,5419,5420,5421,5427,5431,5432,5433,5441,5445,5446,5452,5465,5473,5486,5488,5496,5498,5499,5502,5506,5533,5547,5548,5563,5575,5597,5603,5627,5628,5631,5650,5658,5659,5664,5665,5675,5677,5690,5694,5703,5704,5706,5707,5723,5728,5737,5738,5749,5756,5770,5774,5777,5783,5784,5785,5788,5793,5829,5830,5833,5835,5837,5839,5840,5841,5843,5845,5847,5852,5859,5874,5888,5895,5896,5908,5919,5920,5927,5931,5933,5938,5946,5984,5998,6007,6010,6019,6023,6024,6025,6026,6027,6032,6037,6047,6053,6071,6075,6084,6113,6129,6155,6172,6173,6176,6191,6193,6195,6197,6212,6213,6216,6218,6221,6222,6239,6247,6248,6249,6251,6253,6290,6291,6296,6299,6305,6309,6343,6345,6347,6349,6359,6361,6364,6370,6372,6377,6380,6388,6396,6398,6399,6406,6429,6430,6431,6432,6433,6435,6441,6446,6480,6481,6484,6485,6486,6488,6489,6490,6491,6498,6533,6534,6543,6564,6565,6589,6591,6603,6604,6610,6640,6642,6657,6698,6700,6701,6757,6780,6823,6838,6846,6855,6856,6857,6858,6878,6879,6886,6898,6901,6903,6905,6906,6907,6909,6923,6934,6935,6936,6949,7003,7014,7016,7038,7039,7075,7082,7089,7119,7150,7206,7235,7292,7313,7322,7325,7385,7395,7457,7459,7473,7482,7483,7484,7501,7505,7507,7554,7564,7567,7582,7629,7631,7634,7678,7679,7697,7767,7785,7809,7833,7845,7859,7870,7881,7882,7908,7910,7912,7923,7963,7974,7999,8026,8058,8089,8123,8162,8178,8180,8196,8197,8263,8274,8339,8363,8383,8410,8449,8450,8467,8507,8509,8511,8517,8532,8536,8551,8572,8580,8582,8592,8597,8601,8602,8603,8604,8605,8606,8625,8639,8640,8658,8660,8664,8665,8666,8667,8668,8688,8689,8690,8700,8713,8716,8728,8733,8735,8737,8738,8739,8746,8747,8753,8761,8764,8781,8782,8784,8792,8793,8801,8820,8833,8837,8858,8880,8881,8884,8885,8891,8900,8901,8924,8935,8945,8946,8947,8950,8973,8974,8985,9034,9040,9046,9048,9064,9067,9078,9079,9080,9091,9155,9186,9187,9188,9203,9220,9228,9256,9257,9326,9359,9365,9375,9376,9377,9386,9416,9432,9436,9440,9462,9463,9490,9552,9557,9560,9597,9598,9599,9627,9628,9644,9665,9671,9683,9708,9729,9738,9739,9740,9741,9756,9758,9763,9793,9794,9800,9801,9847,9848,9859,9860,9884,9903,9905,9906,9914,9919,9926,9950,9985,9987,9991,10041,10077,10087,10089,10093,10094,10096,10105,10106,10126,10131,10225])).
% 164.10/163.70 cnf(11602,plain,
% 164.10/163.70 (~P107(f316(f316(f318(x116021),x116022),f178(f905(x116021,a895))))),
% 164.10/163.70 inference(rename_variables,[],[4634])).
% 164.10/163.70 cnf(11605,plain,
% 164.10/163.70 (~P107(f316(f316(f318(x116051),x116052),f178(f905(x116051,a895))))),
% 164.10/163.70 inference(rename_variables,[],[4634])).
% 164.10/163.70 cnf(11608,plain,
% 164.10/163.70 (~P107(f316(f316(f318(x116081),x116082),f178(f905(x116081,a895))))),
% 164.10/163.70 inference(rename_variables,[],[4634])).
% 164.10/163.70 cnf(11611,plain,
% 164.10/163.70 (~P107(f316(f316(f318(x116111),x116112),f178(f905(x116111,a895))))),
% 164.10/163.70 inference(rename_variables,[],[4634])).
% 164.10/163.70 cnf(11614,plain,
% 164.10/163.70 (P107(f316(f316(f318(x116141),f316(x116142,x116143)),f316(f299(x116144,x116141,x116142),f231(f905(x116144,a895)))))),
% 164.10/163.70 inference(rename_variables,[],[4039])).
% 164.10/163.70 cnf(11616,plain,
% 164.10/163.70 (~P107(f316(f316(f318(f904(x116161,x116162)),x116163),f316(f299(f904(x116164,x116164),f904(x116161,x116162),f247(x116164,x116161,x116164,x116162,x116165,x116166)),f143(x116164,f103(f905(x116164,a898))))))),
% 164.10/163.70 inference(scs_inference,[],[3681,4589,10414,10424,10437,10448,10451,10555,10558,10561,10663,10798,11108,11301,11304,11327,11330,4595,10647,10747,11211,3244,3294,3408,10486,10489,10582,10585,3385,3898,3284,3345,3280,3307,3292,3910,3505,11058,3378,4071,4602,10477,10644,4632,11237,11340,11580,3550,3343,10547,4214,4073,11257,11396,11455,4650,11160,11409,11518,11544,11588,4651,11290,11412,11521,4652,11415,4653,11473,4654,3363,3641,3804,3741,3953,3514,10566,10686,10764,10837,10840,10880,10980,11227,3891,3431,4626,10454,10457,10483,10607,10782,10988,11003,11118,4638,3878,3650,4021,3474,3476,3450,4623,4597,4207,11541,4630,10442,10445,10615,10710,10729,10736,10759,10767,10770,10787,10973,11214,4176,4082,11055,4130,3805,4164,3822,10610,10707,11260,11345,11428,4642,11006,11420,3447,10575,10673,10823,10887,10962,11009,11012,11043,11066,11102,11140,3448,10602,10658,10892,10983,3449,4622,10494,10523,11027,11069,3597,10752,10843,11113,11157,11399,11402,11481,4634,11036,11149,11170,11173,11240,11243,11254,11361,11369,11383,11423,11440,11449,11489,11530,11535,11538,11557,11560,11597,11602,11605,11608,3507,10874,10904,10913,10916,10919,3539,3957,3896,10526,4631,10474,10862,10865,11364,3468,10907,11063,4255,4628,3965,4614,4617,3424,3428,4616,4615,4644,10773,4649,11246,11249,11443,11554,11571,4039,3886,11176,11182,3737,11318,3888,10910,11279,11452,11486,3598,3704,10826,10829,10922,11089,4647,4648,10666,4310,4218,3919,4645,10499,10502,10868,3889,10832,4150,4661,4687,4742,4746,4770,4785,4792,4794,4830,4835,4864,4870,4956,4982,4983,4998,5024,5052,5053,5076,5077,5091,5095,5120,5126,5142,5146,5147,5148,5153,5154,5177,5202,5204,5205,5215,5220,5226,5262,5263,5271,5279,5283,5285,5299,5302,5308,5313,5314,5327,5333,5336,5337,5341,5369,5384,5393,5395,5396,5399,5400,5401,5411,5413,5419,5420,5421,5427,5431,5432,5433,5441,5445,5446,5452,5465,5473,5486,5488,5496,5498,5499,5502,5506,5533,5547,5548,5563,5575,5597,5603,5627,5628,5631,5650,5658,5659,5664,5665,5675,5677,5690,5694,5703,5704,5706,5707,5723,5728,5737,5738,5749,5756,5770,5774,5777,5783,5784,5785,5788,5793,5829,5830,5833,5835,5837,5839,5840,5841,5843,5845,5847,5852,5859,5874,5888,5895,5896,5908,5919,5920,5927,5931,5933,5938,5946,5984,5998,6007,6010,6019,6023,6024,6025,6026,6027,6032,6037,6047,6053,6071,6075,6084,6113,6129,6155,6172,6173,6176,6191,6193,6195,6197,6212,6213,6216,6218,6221,6222,6239,6247,6248,6249,6251,6253,6290,6291,6296,6299,6305,6309,6343,6345,6347,6349,6359,6361,6364,6370,6372,6377,6380,6388,6396,6398,6399,6406,6429,6430,6431,6432,6433,6435,6441,6446,6480,6481,6484,6485,6486,6488,6489,6490,6491,6498,6533,6534,6543,6564,6565,6589,6591,6603,6604,6610,6640,6642,6657,6698,6700,6701,6757,6780,6823,6838,6846,6855,6856,6857,6858,6878,6879,6886,6898,6901,6903,6905,6906,6907,6909,6923,6934,6935,6936,6949,7003,7014,7016,7038,7039,7075,7082,7089,7119,7150,7206,7235,7292,7313,7322,7325,7385,7395,7457,7459,7473,7482,7483,7484,7501,7505,7507,7554,7564,7567,7582,7629,7631,7634,7678,7679,7697,7767,7785,7809,7833,7845,7859,7870,7881,7882,7908,7910,7912,7923,7963,7974,7999,8026,8058,8089,8123,8162,8178,8180,8196,8197,8263,8274,8339,8363,8383,8410,8449,8450,8467,8507,8509,8511,8517,8532,8536,8551,8572,8580,8582,8592,8597,8601,8602,8603,8604,8605,8606,8625,8639,8640,8658,8660,8664,8665,8666,8667,8668,8688,8689,8690,8700,8713,8716,8728,8733,8735,8737,8738,8739,8746,8747,8753,8761,8764,8781,8782,8784,8792,8793,8801,8820,8833,8837,8858,8880,8881,8884,8885,8891,8900,8901,8924,8935,8945,8946,8947,8950,8973,8974,8985,9034,9040,9046,9048,9064,9067,9078,9079,9080,9091,9155,9186,9187,9188,9203,9220,9228,9256,9257,9326,9359,9365,9375,9376,9377,9386,9416,9432,9436,9440,9462,9463,9490,9552,9557,9560,9597,9598,9599,9627,9628,9644,9665,9671,9683,9708,9729,9738,9739,9740,9741,9756,9758,9763,9793,9794,9800,9801,9847,9848,9859,9860,9884,9903,9905,9906,9914,9919,9926,9950,9985,9987,9991,10041,10077,10087,10089,10093,10094,10096,10105,10106,10126,10131,10225,10318,10319,10320,10321,10380,10398])).
% 164.10/163.70 cnf(11617,plain,
% 164.10/163.70 (~P107(f316(f316(f318(f904(x116171,x116171)),f316(f316(f241(x116171,x116171),x116172),x116173)),f143(x116171,f103(f905(x116171,a898)))))),
% 164.10/163.70 inference(rename_variables,[],[4649])).
% 164.10/163.70 cnf(11625,plain,
% 164.10/163.70 (E(f104(x116251,f103(x116251)),f103(x116251))),
% 164.10/163.70 inference(rename_variables,[],[3294])).
% 164.10/163.70 cnf(11628,plain,
% 164.10/163.70 (~E(f316(a102,x116281),x116281)),
% 164.10/163.70 inference(rename_variables,[],[4589])).
% 164.10/163.70 cnf(11635,plain,
% 164.10/163.70 (~E(f316(a102,x116351),x116351)),
% 164.10/163.70 inference(rename_variables,[],[4589])).
% 164.10/163.70 cnf(11640,plain,
% 164.10/163.70 (E(f316(f273(x116401,x116401),f252(x116401,x116402)),x116402)),
% 164.10/163.70 inference(rename_variables,[],[3408])).
% 164.10/163.70 cnf(11643,plain,
% 164.10/163.70 (E(f316(f273(x116431,x116431),f252(x116431,x116432)),x116432)),
% 164.10/163.70 inference(rename_variables,[],[3408])).
% 164.10/163.70 cnf(11649,plain,
% 164.10/163.70 (~E(f316(a102,x116491),x116491)),
% 164.10/163.70 inference(rename_variables,[],[4589])).
% 164.10/163.70 cnf(11654,plain,
% 164.10/163.70 (~E(f316(f316(f74(a1),x116541),x116541),a87)),
% 164.10/163.70 inference(rename_variables,[],[4600])).
% 164.10/163.70 cnf(11661,plain,
% 164.10/163.70 (E(f316(f316(f23(a898),f2(a898)),x116611),f2(a898))),
% 164.10/163.70 inference(rename_variables,[],[3364])).
% 164.10/163.70 cnf(11664,plain,
% 164.10/163.70 (~P107(f316(f316(f225(a898),x116641),f2(a898)))),
% 164.10/163.70 inference(rename_variables,[],[4626])).
% 164.10/163.70 cnf(11671,plain,
% 164.10/163.70 (E(f316(f316(f74(a1),f316(f316(f75(a1),x116711),f316(f316(f29(a1),x116712),x116711))),f38(a1,x116712,x116711)),x116712)),
% 164.10/163.70 inference(rename_variables,[],[3989])).
% 164.10/163.70 cnf(11695,plain,
% 164.10/163.70 (~E(f316(a102,x116951),x116951)),
% 164.10/163.70 inference(rename_variables,[],[4589])).
% 164.10/163.70 cnf(11698,plain,
% 164.10/163.70 (~E(f316(a102,x116981),x116981)),
% 164.10/163.70 inference(rename_variables,[],[4589])).
% 164.10/163.70 cnf(11724,plain,
% 164.10/163.70 (~P107(f316(f316(f162(x117241),f103(x117241)),x117242))),
% 164.10/163.70 inference(rename_variables,[],[4630])).
% 164.10/163.70 cnf(11730,plain,
% 164.10/163.70 (P107(f316(f316(f225(a898),f2(a898)),f316(a102,x117301)))),
% 164.10/163.70 inference(rename_variables,[],[3526])).
% 164.10/163.70 cnf(11731,plain,
% 164.10/163.70 (~E(f316(a102,x117311),x117311)),
% 164.10/163.70 inference(rename_variables,[],[4589])).
% 164.10/163.70 cnf(11734,plain,
% 164.10/163.70 (P107(f316(f316(f318(x117341),x117342),f231(f905(x117341,a895))))),
% 164.10/163.70 inference(rename_variables,[],[3597])).
% 164.10/163.70 cnf(11746,plain,
% 164.10/163.70 (~E(f316(a102,x117461),x117461)),
% 164.10/163.70 inference(rename_variables,[],[4589])).
% 164.10/163.70 cnf(11749,plain,
% 164.10/163.70 (P107(f316(f316(f224(a1),x117491),x117491))),
% 164.10/163.70 inference(rename_variables,[],[3448])).
% 164.10/163.70 cnf(11756,plain,
% 164.10/163.70 (P107(f316(f59(x117561,x117562,x117563,x117564,f178(f905(x117561,a895))),x117564))),
% 164.10/163.70 inference(rename_variables,[],[4349])).
% 164.10/163.70 cnf(11757,plain,
% 164.10/163.70 (E(f316(f273(x117571,x117571),f252(x117571,x117572)),x117572)),
% 164.10/163.70 inference(rename_variables,[],[3408])).
% 164.10/163.70 cnf(11770,plain,
% 164.10/163.70 (~P107(f316(f316(f225(a898),f316(f316(f74(a898),x117701),x117702)),x117702))),
% 164.10/163.70 inference(rename_variables,[],[4645])).
% 164.10/163.70 cnf(11773,plain,
% 164.10/163.70 (~P107(f316(f316(f225(a1),f316(f90(a1),x117731)),f2(a1)))),
% 164.10/163.70 inference(rename_variables,[],[4638])).
% 164.10/163.70 cnf(11789,plain,
% 164.10/163.70 (~E(f316(f316(f91(a898),f316(a102,x117891)),x117891),f316(a102,x117891))),
% 164.10/163.70 inference(scs_inference,[],[3681,4589,10414,10424,10437,10448,10451,10555,10558,10561,10663,10798,11108,11301,11304,11327,11330,11527,11628,11635,11649,11695,11698,11731,3368,4595,10647,10747,11211,3060,3065,3072,3073,3083,3086,3091,3101,3105,3112,3126,3127,3131,3156,3163,3201,3206,3207,3226,3230,3244,4587,3294,11625,3408,10486,10489,10582,10585,10901,11640,11643,3385,3898,3284,3989,11671,3345,3280,3307,3292,3910,3505,11058,3378,4071,4602,10477,10644,4632,11237,11340,11580,11583,3550,3342,3343,10547,10877,3262,3364,11661,4214,4073,11257,11396,11455,4650,11160,11409,11518,11544,11588,11594,4651,11290,11412,11521,4652,11415,4653,11473,4654,3363,3641,3804,4600,3741,3953,3514,10566,10686,10764,10837,10840,10880,10980,11227,3891,3431,3526,4626,10454,10457,10483,10607,10782,10988,11003,11118,11566,11664,4638,3878,3650,4021,3474,3476,3450,4623,4597,3634,4639,4207,11541,3763,4630,10442,10445,10615,10710,10729,10736,10759,10767,10770,10787,10973,11214,11435,4176,4082,11055,4130,3805,4164,3822,10610,10707,11260,11345,11428,4642,11006,11420,3447,10575,10673,10823,10887,10962,11009,11012,11043,11066,11102,11140,3448,10602,10658,10892,10983,11105,3449,4622,10494,10523,11027,11069,3597,10752,10843,11113,11157,11399,11402,11481,11563,4634,11036,11149,11170,11173,11240,11243,11254,11361,11369,11383,11423,11440,11449,11489,11530,11535,11538,11557,11560,11597,11602,11605,11608,3507,10874,10904,10913,10916,10919,3539,3957,3896,10526,4631,10474,10862,10865,11364,11380,3468,10907,11063,4255,4628,3965,4614,4617,3424,3428,4616,4615,4349,4644,10773,10776,4649,11246,11249,11443,11554,11571,4039,3886,11176,11182,3737,11318,3888,10910,11279,11452,11486,3598,3704,10826,10829,10922,11089,4647,4648,10666,4310,4218,3919,4645,10499,10502,10868,10871,3889,10832,4150,4661,4687,4742,4746,4770,4785,4792,4794,4830,4835,4864,4870,4956,4982,4983,4998,5024,5052,5053,5076,5077,5091,5095,5120,5126,5142,5146,5147,5148,5153,5154,5177,5202,5204,5205,5215,5220,5226,5262,5263,5271,5279,5283,5285,5299,5302,5308,5313,5314,5327,5333,5336,5337,5341,5369,5384,5393,5395,5396,5399,5400,5401,5411,5413,5419,5420,5421,5427,5431,5432,5433,5441,5445,5446,5452,5465,5473,5486,5488,5496,5498,5499,5502,5506,5533,5547,5548,5563,5575,5597,5603,5627,5628,5631,5650,5658,5659,5664,5665,5675,5677,5690,5694,5703,5704,5706,5707,5723,5728,5737,5738,5749,5756,5770,5774,5777,5783,5784,5785,5788,5793,5829,5830,5833,5835,5837,5839,5840,5841,5843,5845,5847,5852,5859,5874,5888,5895,5896,5908,5919,5920,5927,5931,5933,5938,5946,5984,5998,6007,6010,6019,6023,6024,6025,6026,6027,6032,6037,6047,6053,6071,6075,6084,6113,6129,6155,6172,6173,6176,6191,6193,6195,6197,6212,6213,6216,6218,6221,6222,6239,6247,6248,6249,6251,6253,6290,6291,6296,6299,6305,6309,6343,6345,6347,6349,6359,6361,6364,6370,6372,6377,6380,6388,6396,6398,6399,6406,6429,6430,6431,6432,6433,6435,6441,6446,6480,6481,6484,6485,6486,6488,6489,6490,6491,6498,6533,6534,6543,6564,6565,6589,6591,6603,6604,6610,6640,6642,6657,6698,6700,6701,6757,6780,6823,6838,6846,6855,6856,6857,6858,6878,6879,6886,6898,6901,6903,6905,6906,6907,6909,6923,6934,6935,6936,6949,7003,7014,7016,7038,7039,7075,7082,7089,7119,7150,7206,7235,7292,7313,7322,7325,7385,7395,7457,7459,7473,7482,7483,7484,7501,7505,7507,7554,7564,7567,7582,7629,7631,7634,7678,7679,7697,7767,7785,7809,7833,7845,7859,7870,7881,7882,7908,7910,7912,7923,7963,7974,7999,8026,8058,8089,8123,8162,8178,8180,8196,8197,8263,8274,8339,8363,8383,8410,8449,8450,8467,8507,8509,8511,8517,8532,8536,8551,8572,8580,8582,8592,8597,8601,8602,8603,8604,8605,8606,8625,8639,8640,8658,8660,8664,8665,8666,8667,8668,8688,8689,8690,8700,8713,8716,8728,8733,8735,8737,8738,8739,8746,8747,8753,8761,8764,8781,8782,8784,8792,8793,8801,8820,8833,8837,8858,8880,8881,8884,8885,8891,8900,8901,8924,8935,8945,8946,8947,8950,8973,8974,8985,9034,9040,9046,9048,9064,9067,9078,9079,9080,9091,9155,9186,9187,9188,9203,9220,9228,9256,9257,9326,9359,9365,9375,9376,9377,9386,9416,9432,9436,9440,9462,9463,9490,9552,9557,9560,9597,9598,9599,9627,9628,9644,9665,9671,9683,9708,9729,9738,9739,9740,9741,9756,9758,9763,9793,9794,9800,9801,9847,9848,9859,9860,9884,9903,9905,9906,9914,9919,9926,9950,9985,9987,9991,10041,10077,10087,10089,10093,10094,10096,10105,10106,10126,10131,10225,10318,10319,10320,10321,10380,10398,2,8,9,4674,4675,4693,4735,4736,4738,4761,4763,4764,4774,4819,4821,4869,4999,5000,5017,5041,5098,5099,5105,5106,5108,5110,5119,5122,5123,5131,5144,5145,5151,5172,5173,5191,5196,5197,5198,5199,5203,5211,5214,5221,5276,5281,5282,5287,5293,5324,5334,5339,5349,5366,5368,5375,5376,5378,5389,5407,5409,5410,5417,5424,5425,5437,5438,5439,5440,5442,5443,5448,5449])).
% 164.10/163.70 cnf(11796,plain,
% 164.10/163.70 (E(f316(f273(x117961,x117961),f252(x117961,x117962)),x117962)),
% 164.10/163.70 inference(rename_variables,[],[3408])).
% 164.10/163.70 cnf(11801,plain,
% 164.10/163.70 (E(f316(f273(x118011,x118011),f252(x118011,x118012)),x118012)),
% 164.10/163.70 inference(rename_variables,[],[3408])).
% 164.10/163.70 cnf(11804,plain,
% 164.10/163.70 (~P107(f316(f316(f225(a1),f316(f90(a1),x118041)),f2(a1)))),
% 164.10/163.70 inference(rename_variables,[],[4638])).
% 164.10/163.70 cnf(11809,plain,
% 164.10/163.70 (~E(f316(a102,x118091),x118091)),
% 164.10/163.70 inference(rename_variables,[],[4589])).
% 164.10/163.70 cnf(11818,plain,
% 164.10/163.70 (~P107(f316(f316(f162(x118181),f103(x118181)),x118182))),
% 164.10/163.70 inference(rename_variables,[],[4630])).
% 164.10/163.70 cnf(11838,plain,
% 164.10/163.70 (E(f38(a898,x118381,x118381),f2(a898))),
% 164.10/163.70 inference(scs_inference,[],[3681,4589,10414,10424,10437,10448,10451,10555,10558,10561,10663,10798,11108,11301,11304,11327,11330,11527,11628,11635,11649,11695,11698,11731,11746,3368,4595,10647,10747,11211,3060,3061,3065,3072,3073,3083,3084,3086,3091,3092,3101,3105,3112,3126,3127,3131,3156,3163,3201,3206,3207,3215,3226,3230,3244,4587,3294,11625,3408,10486,10489,10582,10585,10901,11640,11643,11757,11796,3385,3898,3284,3989,11671,3345,3280,3307,3303,3292,3293,3910,3505,11058,3378,4071,4602,10477,10644,4632,11237,11340,11580,11583,3550,3342,3343,10547,10877,3262,3364,11661,4214,4073,11257,11396,11455,4650,11160,11409,11518,11544,11588,11594,4651,11290,11412,11521,4652,11415,4653,11473,4654,3363,3641,3804,4600,3741,3953,3514,10566,10686,10764,10837,10840,10880,10980,11227,3891,3431,3526,4626,10454,10457,10483,10607,10782,10988,11003,11118,11566,11664,4638,11773,11804,3878,3650,4021,3474,3476,3450,4623,4597,3634,4639,4207,11541,3763,4630,10442,10445,10615,10710,10729,10736,10759,10767,10770,10787,10973,11214,11435,11724,4176,4082,11055,4130,3805,4164,3822,10610,10707,11260,11345,11428,4642,11006,11420,3447,10575,10673,10823,10887,10962,11009,11012,11043,11066,11102,11140,3448,10602,10658,10892,10983,11105,3449,4622,10494,10523,11027,11069,3597,10752,10843,11113,11157,11399,11402,11481,11563,4634,11036,11149,11170,11173,11240,11243,11254,11361,11369,11383,11423,11440,11449,11489,11530,11535,11538,11557,11560,11597,11602,11605,11608,3507,10874,10904,10913,10916,10919,3546,3539,3957,3896,10526,4631,10474,10862,10865,11364,11380,3468,10907,11063,4255,4628,3965,4614,4617,3424,3428,4616,4615,4349,4644,10773,10776,4649,11246,11249,11443,11554,11571,4039,3886,11176,11182,3737,11318,3888,10910,11279,11452,11486,3598,3704,10826,10829,10922,11089,4647,4648,10666,4310,4218,3919,4645,10499,10502,10868,10871,3889,10832,4150,4661,4687,4742,4746,4770,4785,4792,4794,4830,4835,4864,4870,4956,4982,4983,4998,5024,5052,5053,5076,5077,5091,5095,5120,5126,5142,5146,5147,5148,5153,5154,5177,5202,5204,5205,5215,5220,5226,5262,5263,5271,5279,5283,5285,5299,5302,5308,5313,5314,5327,5333,5336,5337,5341,5369,5384,5393,5395,5396,5399,5400,5401,5411,5413,5419,5420,5421,5427,5431,5432,5433,5441,5445,5446,5452,5465,5473,5486,5488,5496,5498,5499,5502,5506,5533,5547,5548,5563,5575,5597,5603,5627,5628,5631,5650,5658,5659,5664,5665,5675,5677,5690,5694,5703,5704,5706,5707,5723,5728,5737,5738,5749,5756,5770,5774,5777,5783,5784,5785,5788,5793,5829,5830,5833,5835,5837,5839,5840,5841,5843,5845,5847,5852,5859,5874,5888,5895,5896,5908,5919,5920,5927,5931,5933,5938,5946,5984,5998,6007,6010,6019,6023,6024,6025,6026,6027,6032,6037,6047,6053,6071,6075,6084,6113,6129,6155,6172,6173,6176,6191,6193,6195,6197,6212,6213,6216,6218,6221,6222,6239,6247,6248,6249,6251,6253,6290,6291,6296,6299,6305,6309,6343,6345,6347,6349,6359,6361,6364,6370,6372,6377,6380,6388,6396,6398,6399,6406,6429,6430,6431,6432,6433,6435,6441,6446,6480,6481,6484,6485,6486,6488,6489,6490,6491,6498,6533,6534,6543,6564,6565,6589,6591,6603,6604,6610,6640,6642,6657,6698,6700,6701,6757,6780,6823,6838,6846,6855,6856,6857,6858,6878,6879,6886,6898,6901,6903,6905,6906,6907,6909,6923,6934,6935,6936,6949,7003,7014,7016,7038,7039,7075,7082,7089,7119,7150,7206,7235,7292,7313,7322,7325,7385,7395,7457,7459,7473,7482,7483,7484,7501,7505,7507,7554,7564,7567,7582,7629,7631,7634,7678,7679,7697,7767,7785,7809,7833,7845,7859,7870,7881,7882,7908,7910,7912,7923,7963,7974,7999,8026,8058,8089,8123,8162,8178,8180,8196,8197,8263,8274,8339,8363,8383,8410,8449,8450,8467,8507,8509,8511,8517,8532,8536,8551,8572,8580,8582,8592,8597,8601,8602,8603,8604,8605,8606,8625,8639,8640,8658,8660,8664,8665,8666,8667,8668,8688,8689,8690,8700,8713,8716,8728,8733,8735,8737,8738,8739,8746,8747,8753,8761,8764,8781,8782,8784,8792,8793,8801,8820,8833,8837,8858,8880,8881,8884,8885,8891,8900,8901,8924,8935,8945,8946,8947,8950,8973,8974,8985,9034,9040,9046,9048,9064,9067,9078,9079,9080,9091,9155,9186,9187,9188,9203,9220,9228,9256,9257,9326,9359,9365,9375,9376,9377,9386,9416,9432,9436,9440,9462,9463,9490,9552,9557,9560,9597,9598,9599,9627,9628,9644,9665,9671,9683,9708,9729,9738,9739,9740,9741,9756,9758,9763,9793,9794,9800,9801,9847,9848,9859,9860,9884,9903,9905,9906,9914,9919,9926,9950,9985,9987,9991,10041,10077,10087,10089,10093,10094,10096,10105,10106,10126,10131,10225,10318,10319,10320,10321,10380,10398,2,8,9,4674,4675,4693,4735,4736,4738,4761,4763,4764,4774,4819,4821,4869,4999,5000,5017,5041,5098,5099,5105,5106,5108,5110,5119,5122,5123,5131,5144,5145,5151,5172,5173,5191,5196,5197,5198,5199,5203,5211,5214,5221,5276,5281,5282,5287,5293,5324,5334,5339,5349,5366,5368,5375,5376,5378,5389,5407,5409,5410,5417,5424,5425,5437,5438,5439,5440,5442,5443,5448,5449,5450,5451,5482,5483,5484,5492,5493,5494,5495,5539,5544,5546,5582,5584,5585,5587,5588,5590,5591,5593,5602,5607])).
% 164.10/163.70 cnf(11841,plain,
% 164.10/163.70 (~P107(f316(f316(f225(a1),f316(f90(a1),x118411)),f2(a1)))),
% 164.10/163.70 inference(rename_variables,[],[4638])).
% 164.10/163.70 cnf(11844,plain,
% 164.10/163.70 (~P107(f316(f316(f225(a898),x118441),f2(a898)))),
% 164.10/163.70 inference(rename_variables,[],[4626])).
% 164.10/163.70 cnf(11845,plain,
% 164.10/163.70 (P107(f316(f316(f225(a898),x118451),f316(a102,x118451)))),
% 164.10/163.70 inference(rename_variables,[],[3514])).
% 164.10/163.70 cnf(11848,plain,
% 164.10/163.70 (~P107(f316(f316(f225(a1),f316(f90(a1),x118481)),f2(a1)))),
% 164.10/163.70 inference(rename_variables,[],[4638])).
% 164.10/163.70 cnf(11850,plain,
% 164.10/163.70 (~P12(x118501,f318(f905(x118502,a895)))),
% 164.10/163.70 inference(scs_inference,[],[3681,4589,10414,10424,10437,10448,10451,10555,10558,10561,10663,10798,11108,11301,11304,11327,11330,11527,11628,11635,11649,11695,11698,11731,11746,3368,4595,10647,10747,11211,3060,3061,3065,3072,3073,3083,3084,3086,3091,3092,3101,3105,3112,3126,3127,3131,3156,3163,3201,3206,3207,3215,3226,3230,3244,4587,3294,11625,3408,10486,10489,10582,10585,10901,11640,11643,11757,11796,3385,3898,3284,3989,11671,3345,3280,3307,3303,3292,3293,3910,3505,11058,3378,4071,4602,10477,10644,4632,11237,11340,11580,11583,3550,3342,3343,10547,10877,3262,3364,11661,4214,4073,11257,11396,11455,4650,11160,11409,11518,11544,11588,11594,4651,11290,11412,11521,4652,11415,4653,11473,4654,3363,3641,3804,4600,3741,3953,3514,10566,10686,10764,10837,10840,10880,10980,11227,3891,3431,3526,4626,10454,10457,10483,10607,10782,10988,11003,11118,11566,11664,4638,11773,11804,11841,3878,3650,4021,3474,3476,3450,4623,4597,3634,4639,4207,11541,3763,4630,10442,10445,10615,10710,10729,10736,10759,10767,10770,10787,10973,11214,11435,11724,4176,4082,11055,4130,3805,4164,3822,10610,10707,11260,11345,11428,4642,11006,11420,3447,10575,10673,10823,10887,10962,11009,11012,11043,11066,11102,11140,3448,10602,10658,10892,10983,11105,3449,4622,10494,10523,11027,11069,3597,10752,10843,11113,11157,11399,11402,11481,11563,4634,11036,11149,11170,11173,11240,11243,11254,11361,11369,11383,11423,11440,11449,11489,11530,11535,11538,11557,11560,11597,11602,11605,11608,11611,3507,10874,10904,10913,10916,10919,3546,3539,3957,3896,10526,4631,10474,10862,10865,11364,11380,3468,10907,11063,4255,4628,3965,4614,4617,3424,3428,4616,4615,4349,4644,10773,10776,4649,11246,11249,11443,11554,11571,4039,3886,11176,11182,3737,11318,3888,10910,11279,11452,11486,3598,3704,10826,10829,10922,11089,4647,4648,10666,4310,4218,3919,4645,10499,10502,10868,10871,3889,10832,4150,4661,4687,4742,4746,4770,4785,4792,4794,4830,4835,4864,4870,4956,4982,4983,4998,5024,5052,5053,5076,5077,5091,5095,5120,5126,5142,5146,5147,5148,5153,5154,5177,5202,5204,5205,5215,5220,5226,5262,5263,5271,5279,5283,5285,5299,5302,5308,5313,5314,5327,5333,5336,5337,5341,5369,5384,5393,5395,5396,5399,5400,5401,5411,5413,5419,5420,5421,5427,5431,5432,5433,5441,5445,5446,5452,5465,5473,5486,5488,5496,5498,5499,5502,5506,5533,5547,5548,5563,5575,5597,5603,5627,5628,5631,5650,5658,5659,5664,5665,5675,5677,5690,5694,5703,5704,5706,5707,5723,5728,5737,5738,5749,5756,5770,5774,5777,5783,5784,5785,5788,5793,5829,5830,5833,5835,5837,5839,5840,5841,5843,5845,5847,5852,5859,5874,5888,5895,5896,5908,5919,5920,5927,5931,5933,5938,5946,5984,5998,6007,6010,6019,6023,6024,6025,6026,6027,6032,6037,6047,6053,6071,6075,6084,6113,6129,6155,6172,6173,6176,6191,6193,6195,6197,6212,6213,6216,6218,6221,6222,6239,6247,6248,6249,6251,6253,6290,6291,6296,6299,6305,6309,6343,6345,6347,6349,6359,6361,6364,6370,6372,6377,6380,6388,6396,6398,6399,6406,6429,6430,6431,6432,6433,6435,6441,6446,6480,6481,6484,6485,6486,6488,6489,6490,6491,6498,6533,6534,6543,6564,6565,6589,6591,6603,6604,6610,6640,6642,6657,6698,6700,6701,6757,6780,6823,6838,6846,6855,6856,6857,6858,6878,6879,6886,6898,6901,6903,6905,6906,6907,6909,6923,6934,6935,6936,6949,7003,7014,7016,7038,7039,7075,7082,7089,7119,7150,7206,7235,7292,7313,7322,7325,7385,7395,7457,7459,7473,7482,7483,7484,7501,7505,7507,7554,7564,7567,7582,7629,7631,7634,7678,7679,7697,7767,7785,7809,7833,7845,7859,7870,7881,7882,7908,7910,7912,7923,7963,7974,7999,8026,8058,8089,8123,8162,8178,8180,8196,8197,8263,8274,8339,8363,8383,8410,8449,8450,8467,8507,8509,8511,8517,8532,8536,8551,8572,8580,8582,8592,8597,8601,8602,8603,8604,8605,8606,8625,8639,8640,8658,8660,8664,8665,8666,8667,8668,8688,8689,8690,8700,8713,8716,8728,8733,8735,8737,8738,8739,8746,8747,8753,8761,8764,8781,8782,8784,8792,8793,8801,8820,8833,8837,8858,8880,8881,8884,8885,8891,8900,8901,8924,8935,8945,8946,8947,8950,8973,8974,8985,9034,9040,9046,9048,9064,9067,9078,9079,9080,9091,9155,9186,9187,9188,9203,9220,9228,9256,9257,9326,9359,9365,9375,9376,9377,9386,9416,9432,9436,9440,9462,9463,9490,9552,9557,9560,9597,9598,9599,9627,9628,9644,9665,9671,9683,9708,9729,9738,9739,9740,9741,9756,9758,9763,9793,9794,9800,9801,9847,9848,9859,9860,9884,9903,9905,9906,9914,9919,9926,9950,9985,9987,9991,10041,10077,10087,10089,10093,10094,10096,10105,10106,10126,10131,10225,10318,10319,10320,10321,10380,10398,2,8,9,4674,4675,4693,4735,4736,4738,4761,4763,4764,4774,4819,4821,4869,4999,5000,5017,5041,5098,5099,5105,5106,5108,5110,5119,5122,5123,5131,5144,5145,5151,5172,5173,5191,5196,5197,5198,5199,5203,5211,5214,5221,5276,5281,5282,5287,5293,5324,5334,5339,5349,5366,5368,5375,5376,5378,5389,5407,5409,5410,5417,5424,5425,5437,5438,5439,5440,5442,5443,5448,5449,5450,5451,5482,5483,5484,5492,5493,5494,5495,5539,5544,5546,5582,5584,5585,5587,5588,5590,5591,5593,5602,5607,5609,5610,5611,5613])).
% 164.10/163.70 cnf(11851,plain,
% 164.10/163.70 (~P107(f316(f316(f318(x118511),x118512),f178(f905(x118511,a895))))),
% 164.10/163.70 inference(rename_variables,[],[4634])).
% 164.10/163.70 cnf(11852,plain,
% 164.10/163.70 (P107(f316(f316(f318(f905(x118521,a895)),x118522),f316(f297(x118521),x118522)))),
% 164.10/163.70 inference(rename_variables,[],[3805])).
% 164.10/163.70 cnf(11867,plain,
% 164.10/163.70 (~P107(f316(f316(f224(a898),f316(a102,x118671)),x118671))),
% 164.10/163.70 inference(rename_variables,[],[4631])).
% 164.10/163.70 cnf(11868,plain,
% 164.10/163.70 (~E(f316(a102,x118681),x118681)),
% 164.10/163.70 inference(rename_variables,[],[4589])).
% 164.10/163.70 cnf(11878,plain,
% 164.10/163.70 (~P107(f316(f316(f225(a898),f316(f316(f74(a898),x118781),x118782)),x118781))),
% 164.10/163.70 inference(rename_variables,[],[4646])).
% 164.10/163.70 cnf(11881,plain,
% 164.10/163.70 (~P107(f316(f316(f225(a1),f316(f90(a1),x118811)),f2(a1)))),
% 164.10/163.70 inference(rename_variables,[],[4638])).
% 164.10/163.70 cnf(11884,plain,
% 164.10/163.70 (~E(f316(a102,x118841),x118841)),
% 164.10/163.70 inference(rename_variables,[],[4589])).
% 164.10/163.70 cnf(11897,plain,
% 164.10/163.70 (P107(f316(f316(f318(x118971),x118972),f316(f316(f298(x118971),x118972),x118973)))),
% 164.10/163.70 inference(rename_variables,[],[3753])).
% 164.10/163.70 cnf(11898,plain,
% 164.10/163.70 (~P107(f316(f316(f224(a1),f2(a1)),f316(f73(a1),f316(f90(a1),f316(a102,x118981)))))),
% 164.10/163.70 inference(rename_variables,[],[4647])).
% 164.10/163.70 cnf(11901,plain,
% 164.10/163.70 (P107(f316(f316(f225(a898),f316(f316(f23(a898),x119011),x119012)),f316(a102,x119011)))),
% 164.10/163.70 inference(rename_variables,[],[3891])).
% 164.10/163.70 cnf(11904,plain,
% 164.10/163.70 (P107(f316(f316(f224(a898),f38(a898,x119041,x119042)),x119041))),
% 164.10/163.70 inference(rename_variables,[],[3896])).
% 164.10/163.70 cnf(11910,plain,
% 164.10/163.70 (E(f316(f273(x119101,x119101),f252(x119101,x119102)),x119102)),
% 164.10/163.70 inference(rename_variables,[],[3408])).
% 164.10/163.70 cnf(11915,plain,
% 164.10/163.70 (E(f316(f316(f124(x119151),f159(x119151,x119152,x119153)),f159(x119151,x119154,x119153)),f316(f316(f124(x119151),f159(x119151,x119154,x119153)),f159(x119151,x119152,x119153)))),
% 164.10/163.70 inference(rename_variables,[],[4003])).
% 164.10/163.70 cnf(11920,plain,
% 164.10/163.70 (~P107(f316(f316(f224(a898),f316(a102,x119201)),x119201))),
% 164.10/163.70 inference(rename_variables,[],[4631])).
% 164.10/163.70 cnf(11929,plain,
% 164.10/163.70 (~P107(f316(f316(f225(a898),x119291),x119291))),
% 164.10/163.70 inference(rename_variables,[],[4622])).
% 164.10/163.70 cnf(11932,plain,
% 164.10/163.70 (P107(f316(f316(f224(a898),f38(a898,x119321,x119322)),x119321))),
% 164.10/163.70 inference(rename_variables,[],[3896])).
% 164.10/163.70 cnf(11933,plain,
% 164.10/163.70 (P107(f316(f316(f224(a898),f2(a898)),x119331))),
% 164.10/163.70 inference(rename_variables,[],[3468])).
% 164.10/163.70 cnf(11950,plain,
% 164.10/163.70 (~P107(f316(f316(f225(a898),x119501),x119501))),
% 164.10/163.70 inference(rename_variables,[],[4622])).
% 164.10/163.70 cnf(11953,plain,
% 164.10/163.70 (P107(f316(f316(f318(x119531),f316(x119532,x119533)),f316(f299(x119534,x119531,x119532),f231(f905(x119534,a895)))))),
% 164.10/163.70 inference(rename_variables,[],[4039])).
% 164.10/163.70 cnf(11954,plain,
% 164.10/163.70 (~P107(f316(f316(f224(a898),f316(a102,x119541)),x119541))),
% 164.10/163.70 inference(rename_variables,[],[4631])).
% 164.10/163.70 cnf(11957,plain,
% 164.10/163.70 (P107(f316(f316(f318(x119571),f316(x119572,x119573)),f316(f299(x119574,x119571,x119572),f231(f905(x119574,a895)))))),
% 164.10/163.70 inference(rename_variables,[],[4039])).
% 164.10/163.70 cnf(11958,plain,
% 164.10/163.70 (~P107(f316(f316(f225(a898),f316(f316(f74(a898),x119581),x119582)),x119582))),
% 164.10/163.70 inference(rename_variables,[],[4645])).
% 164.10/163.70 cnf(11963,plain,
% 164.10/163.70 (~P107(f316(f316(f225(a898),f316(f316(f74(a898),x119631),x119632)),x119631))),
% 164.10/163.70 inference(rename_variables,[],[4646])).
% 164.10/163.70 cnf(11966,plain,
% 164.10/163.70 (~P107(f316(f316(f162(x119661),f103(x119661)),x119662))),
% 164.10/163.70 inference(rename_variables,[],[4630])).
% 164.10/163.70 cnf(11969,plain,
% 164.10/163.70 (P107(f316(f316(f224(a898),x119691),x119691))),
% 164.10/163.70 inference(rename_variables,[],[3447])).
% 164.10/163.70 cnf(11977,plain,
% 164.10/163.70 (~P34(x119771,x119772,f103(x119771))),
% 164.10/163.70 inference(rename_variables,[],[4609])).
% 164.10/163.70 cnf(11980,plain,
% 164.10/163.70 (P107(f316(f316(f318(x119801),x119802),f231(f905(x119801,a895))))),
% 164.10/163.70 inference(rename_variables,[],[3597])).
% 164.10/163.70 cnf(11981,plain,
% 164.10/163.70 (~P107(f316(f316(f224(a898),f316(a102,x119811)),x119811))),
% 164.10/163.70 inference(rename_variables,[],[4631])).
% 164.10/163.70 cnf(11994,plain,
% 164.10/163.70 (~P107(f316(f316(f318(x119941),x119942),f178(f905(x119941,a895))))),
% 164.10/163.70 inference(rename_variables,[],[4634])).
% 164.10/163.70 cnf(11997,plain,
% 164.10/163.70 (E(f316(f316(f16(x119971,x119972),x119973),x119974),x119973)),
% 164.10/163.70 inference(rename_variables,[],[3438])).
% 164.10/163.70 cnf(12000,plain,
% 164.10/163.70 (E(f316(f316(f16(x120001,x120002),x120003),x120004),x120003)),
% 164.10/163.70 inference(rename_variables,[],[3438])).
% 164.10/163.70 cnf(12012,plain,
% 164.10/163.70 (P107(f316(f316(f225(a898),f2(a898)),f316(a102,x120121)))),
% 164.10/163.70 inference(rename_variables,[],[3526])).
% 164.10/163.70 cnf(12015,plain,
% 164.10/163.70 (P107(f316(f316(f224(a898),x120151),x120151))),
% 164.10/163.70 inference(rename_variables,[],[3447])).
% 164.10/163.70 cnf(12018,plain,
% 164.10/163.70 (P107(f316(f54(x120181),f316(f162(x120181),x120182)))),
% 164.10/163.70 inference(rename_variables,[],[3486])).
% 164.10/163.70 cnf(12021,plain,
% 164.10/163.70 (P107(f316(f54(x120211),f316(f162(x120211),x120212)))),
% 164.10/163.70 inference(rename_variables,[],[3486])).
% 164.10/163.70 cnf(12024,plain,
% 164.10/163.70 (P107(f316(f316(f224(a1),f316(f73(a1),f316(f90(a1),x120241))),f316(f90(a1),x120242)))),
% 164.10/163.70 inference(rename_variables,[],[3920])).
% 164.10/163.70 cnf(12027,plain,
% 164.10/163.70 (~P107(f316(f316(f318(x120271),x120272),f178(f905(x120271,a895))))),
% 164.10/163.70 inference(rename_variables,[],[4634])).
% 164.10/163.70 cnf(12045,plain,
% 164.10/163.70 (~P107(f316(f316(f318(a898),x120451),f316(f271(a898),f2(a898))))),
% 164.10/163.70 inference(scs_inference,[],[3681,4608,4609,4589,10414,10424,10437,10448,10451,10555,10558,10561,10663,10798,11108,11301,11304,11327,11330,11527,11628,11635,11649,11695,11698,11731,11746,11809,11868,3368,4595,10647,10747,11211,3058,3060,3061,3064,3065,3068,3072,3073,3083,3084,3086,3091,3092,3101,3105,3112,3126,3127,3131,3156,3163,3201,3206,3207,3215,3224,3226,3230,3244,4587,4003,11915,3294,11625,3408,10486,10489,10582,10585,10901,11640,11643,11757,11796,11801,3385,3898,3284,3643,3989,11671,3345,3280,3307,3303,3292,3293,3910,3505,11058,3378,4071,4602,10477,10644,3438,11997,4632,11237,11340,11580,11583,3550,3342,3343,10547,10877,3602,3262,3364,11661,4214,4073,11257,11396,11455,4650,11160,11409,11518,11544,11588,11594,4651,11290,11412,11521,4652,11415,4653,11473,4654,3363,3641,3804,4485,4486,4600,3741,3953,3514,10566,10686,10764,10837,10840,10880,10980,11227,11845,3891,11901,3431,3526,11730,4626,10454,10457,10483,10607,10782,10988,11003,11118,11566,11664,11844,4638,11773,11804,11841,11848,3878,3650,4021,3474,3476,3450,4623,4597,3634,4639,4207,11541,3763,3486,12018,4630,10442,10445,10615,10710,10729,10736,10759,10767,10770,10787,10973,11214,11435,11724,11818,4176,4082,11055,4130,3805,4164,3822,10610,10707,11260,11345,11428,4642,11006,11420,3447,10575,10673,10823,10887,10962,11009,11012,11043,11066,11102,11140,11179,11969,3448,10602,10658,10892,10983,11105,3449,3522,4622,10494,10523,11027,11069,11078,11929,3597,10752,10843,11113,11157,11399,11402,11481,11563,11734,4634,11036,11149,11170,11173,11240,11243,11254,11361,11369,11383,11423,11440,11449,11489,11530,11535,11538,11557,11560,11597,11602,11605,11608,11611,11851,11994,3507,10874,10904,10913,10916,10919,3546,3539,3957,3896,10526,11904,4631,10474,10862,10865,11364,11380,11867,11920,11954,11981,3468,10907,11063,11133,3920,4255,4628,3965,4614,4617,3424,3428,4616,4615,3753,4349,4644,10773,10776,4649,11246,11249,11443,11554,11571,4039,11614,11953,3886,11176,11182,3737,11318,3888,10910,11279,11452,11486,3598,3704,10826,10829,10922,11089,4647,11898,4648,10666,4310,4218,3919,3864,4645,10499,10502,10868,10871,11770,4646,11878,3889,10832,4150,4661,4687,4742,4746,4770,4785,4792,4794,4830,4835,4864,4870,4956,4982,4983,4998,5024,5052,5053,5076,5077,5091,5095,5120,5126,5142,5146,5147,5148,5153,5154,5177,5202,5204,5205,5215,5220,5226,5262,5263,5271,5279,5283,5285,5299,5302,5308,5313,5314,5327,5333,5336,5337,5341,5369,5384,5393,5395,5396,5399,5400,5401,5411,5413,5419,5420,5421,5427,5431,5432,5433,5441,5445,5446,5452,5465,5473,5486,5488,5496,5498,5499,5502,5506,5533,5547,5548,5563,5575,5597,5603,5627,5628,5631,5650,5658,5659,5664,5665,5675,5677,5690,5694,5703,5704,5706,5707,5723,5728,5737,5738,5749,5756,5770,5774,5777,5783,5784,5785,5788,5793,5829,5830,5833,5835,5837,5839,5840,5841,5843,5845,5847,5852,5859,5874,5888,5895,5896,5908,5919,5920,5927,5931,5933,5938,5946,5984,5998,6007,6010,6019,6023,6024,6025,6026,6027,6032,6037,6047,6053,6071,6075,6084,6113,6129,6155,6172,6173,6176,6191,6193,6195,6197,6212,6213,6216,6218,6221,6222,6239,6247,6248,6249,6251,6253,6290,6291,6296,6299,6305,6309,6343,6345,6347,6349,6359,6361,6364,6370,6372,6377,6380,6388,6396,6398,6399,6406,6429,6430,6431,6432,6433,6435,6441,6446,6480,6481,6484,6485,6486,6488,6489,6490,6491,6498,6533,6534,6543,6564,6565,6589,6591,6603,6604,6610,6640,6642,6657,6698,6700,6701,6757,6780,6823,6838,6846,6855,6856,6857,6858,6878,6879,6886,6898,6901,6903,6905,6906,6907,6909,6923,6934,6935,6936,6949,7003,7014,7016,7038,7039,7075,7082,7089,7119,7150,7206,7235,7292,7313,7322,7325,7385,7395,7457,7459,7473,7482,7483,7484,7501,7505,7507,7554,7564,7567,7582,7629,7631,7634,7678,7679,7697,7767,7785,7809,7833,7845,7859,7870,7881,7882,7908,7910,7912,7923,7963,7974,7999,8026,8058,8089,8123,8162,8178,8180,8196,8197,8263,8274,8339,8363,8383,8410,8449,8450,8467,8507,8509,8511,8517,8532,8536,8551,8572,8580,8582,8592,8597,8601,8602,8603,8604,8605,8606,8625,8639,8640,8658,8660,8664,8665,8666,8667,8668,8688,8689,8690,8700,8713,8716,8728,8733,8735,8737,8738,8739,8746,8747,8753,8761,8764,8781,8782,8784,8792,8793,8801,8820,8833,8837,8858,8880,8881,8884,8885,8891,8900,8901,8924,8935,8945,8946,8947,8950,8973,8974,8985,9034,9040,9046,9048,9064,9067,9078,9079,9080,9091,9155,9186,9187,9188,9203,9220,9228,9256,9257,9326,9359,9365,9375,9376,9377,9386,9416,9432,9436,9440,9462,9463,9490,9552,9557,9560,9597,9598,9599,9627,9628,9644,9665,9671,9683,9708,9729,9738,9739,9740,9741,9756,9758,9763,9793,9794,9800,9801,9847,9848,9859,9860,9884,9903,9905,9906,9914,9919,9926,9950,9985,9987,9991,10041,10077,10087,10089,10093,10094,10096,10105,10106,10126,10131,10225,10318,10319,10320,10321,10380,10398,2,8,9,4674,4675,4693,4735,4736,4738,4761,4763,4764,4774,4819,4821,4869,4999,5000,5017,5041,5098,5099,5105,5106,5108,5110,5119,5122,5123,5131,5144,5145,5151,5172,5173,5191,5196,5197,5198,5199,5203,5211,5214,5221,5276,5281,5282,5287,5293,5324,5334,5339,5349,5366,5368,5375,5376,5378,5389,5407,5409,5410,5417,5424,5425,5437,5438,5439,5440,5442,5443,5448,5449,5450,5451,5482,5483,5484,5492,5493,5494,5495,5539,5544,5546,5582,5584,5585,5587,5588,5590,5591,5593,5602,5607,5609,5610,5611,5613,5615,5616,5617,5618,5619,5620,5629,5639,5642,5653,5669,5670,5673,5683,5686,5687,5688,5715,5725,5740,5741,5750,5751,5753,5755,5760,5795,5800,5802,5861,5897,5898,5912,5918,5921,5922,5923,5924,5943,5947,5948,5957,5979,6011,6030,6031,6035,6036,6038,6063,6064,6065,6069,6070,6086,6097,6098,6131,6132,6136,6157,6160,6163,6185,6186,6214,6217,6226,6235,6237,6246,6250,6258,6259,6260,6261])).
% 164.10/163.70 cnf(12048,plain,
% 164.10/163.70 (P107(f316(f316(f224(a1),x120481),x120481))),
% 164.10/163.70 inference(rename_variables,[],[3448])).
% 164.10/163.70 cnf(12051,plain,
% 164.10/163.70 (P107(f316(f316(f224(a1),x120511),x120511))),
% 164.10/163.70 inference(rename_variables,[],[3448])).
% 164.10/163.70 cnf(12062,plain,
% 164.10/163.70 (P107(f316(f316(f224(a1),x120621),x120621))),
% 164.10/163.70 inference(rename_variables,[],[3448])).
% 164.10/163.70 cnf(12065,plain,
% 164.10/163.70 (~P107(f316(f316(f225(a898),x120651),f2(a898)))),
% 164.10/163.70 inference(rename_variables,[],[4626])).
% 164.10/163.70 cnf(12070,plain,
% 164.10/163.70 (~P107(f316(f316(f225(a898),x120701),f2(a898)))),
% 164.10/163.70 inference(rename_variables,[],[4626])).
% 164.10/163.70 cnf(12079,plain,
% 164.10/163.70 (P107(f316(f316(f224(a898),f2(a898)),x120791))),
% 164.10/163.70 inference(rename_variables,[],[3468])).
% 164.10/163.70 cnf(12080,plain,
% 164.10/163.70 (~P107(f316(f316(f224(a898),f316(a102,x120801)),x120801))),
% 164.10/163.70 inference(rename_variables,[],[4631])).
% 164.10/163.70 cnf(12083,plain,
% 164.10/163.70 (~P107(f316(f316(f162(x120831),f103(x120831)),x120832))),
% 164.10/163.70 inference(rename_variables,[],[4630])).
% 164.10/163.70 cnf(12086,plain,
% 164.10/163.70 (~P107(f316(f316(f162(x120861),f103(x120861)),x120862))),
% 164.10/163.70 inference(rename_variables,[],[4630])).
% 164.10/163.70 cnf(12093,plain,
% 164.10/163.70 (P107(f316(f316(f225(a898),x120931),f316(a102,f316(f316(f74(a898),x120932),x120931))))),
% 164.10/163.70 inference(rename_variables,[],[3889])).
% 164.10/163.70 cnf(12094,plain,
% 164.10/163.70 (P107(f316(f316(f225(a898),x120941),f316(a102,x120941)))),
% 164.10/163.70 inference(rename_variables,[],[3514])).
% 164.10/163.70 cnf(12106,plain,
% 164.10/163.70 (P107(f316(f316(f225(a1),f316(f73(a1),f72(a1))),f2(a1)))),
% 164.10/163.70 inference(scs_inference,[],[3681,4608,4609,4589,10414,10424,10437,10448,10451,10555,10558,10561,10663,10798,11108,11301,11304,11327,11330,11527,11628,11635,11649,11695,11698,11731,11746,11809,11868,3368,4595,10647,10747,11211,3058,3060,3061,3064,3065,3068,3072,3073,3079,3083,3084,3086,3091,3092,3101,3105,3112,3118,3126,3127,3131,3156,3163,3201,3206,3207,3215,3222,3224,3226,3230,3244,4587,4003,11915,3294,11625,3408,10486,10489,10582,10585,10901,11640,11643,11757,11796,11801,3385,3898,3284,3643,3989,11671,3345,3280,3307,3303,3292,3293,3910,3505,11058,3378,4071,4602,10477,10644,3438,11997,4632,11237,11340,11580,11583,3550,3342,3343,10547,10877,3602,3262,3364,11661,4214,4073,11257,11396,11455,4650,11160,11409,11518,11544,11588,11594,4651,11290,11412,11521,4652,11415,4653,11473,4654,3363,3641,3804,4485,4486,4600,3741,3953,3514,10566,10686,10764,10837,10840,10880,10980,11227,11845,3891,11901,3431,3526,11730,4626,10454,10457,10483,10607,10782,10988,11003,11118,11566,11664,11844,12065,12070,4638,11773,11804,11841,11848,11881,3878,3650,4021,3474,3476,3450,4623,4597,3634,4639,4207,11541,3763,3486,12018,4630,10442,10445,10615,10710,10729,10736,10759,10767,10770,10787,10973,11214,11435,11724,11818,11966,12083,4176,4082,11055,4130,3805,4164,3822,10610,10707,11260,11345,11428,4642,11006,11420,3447,10575,10673,10823,10887,10962,11009,11012,11043,11066,11102,11140,11179,11969,3448,10602,10658,10892,10983,11105,11749,12048,12051,3449,3522,4622,10494,10523,11027,11069,11078,11929,3597,10752,10843,11113,11157,11399,11402,11481,11563,11734,4634,11036,11149,11170,11173,11240,11243,11254,11361,11369,11383,11423,11440,11449,11489,11530,11535,11538,11557,11560,11597,11602,11605,11608,11611,11851,11994,3507,10874,10904,10913,10916,10919,3546,3539,3957,3896,10526,11904,11932,4631,10474,10862,10865,11364,11380,11867,11920,11954,11981,3468,10907,11063,11133,11933,3920,4255,4628,3965,4614,4617,3424,3428,4616,4615,3753,4349,4644,10773,10776,4649,11246,11249,11443,11554,11571,4039,11614,11953,3886,11176,11182,3737,11318,3888,10910,11279,11452,11486,3598,3704,10826,10829,10922,11089,4647,11898,4648,10666,4310,4218,3919,3864,4645,10499,10502,10868,10871,11770,4646,11878,3889,10832,11095,4150,4661,4687,4742,4746,4770,4785,4792,4794,4830,4835,4864,4870,4956,4982,4983,4998,5024,5052,5053,5076,5077,5091,5095,5120,5126,5142,5146,5147,5148,5153,5154,5177,5202,5204,5205,5215,5220,5226,5262,5263,5271,5279,5283,5285,5299,5302,5308,5313,5314,5327,5333,5336,5337,5341,5369,5384,5393,5395,5396,5399,5400,5401,5411,5413,5419,5420,5421,5427,5431,5432,5433,5441,5445,5446,5452,5465,5473,5486,5488,5496,5498,5499,5502,5506,5533,5547,5548,5563,5575,5597,5603,5627,5628,5631,5650,5658,5659,5664,5665,5675,5677,5690,5694,5703,5704,5706,5707,5723,5728,5737,5738,5749,5756,5770,5774,5777,5783,5784,5785,5788,5793,5829,5830,5833,5835,5837,5839,5840,5841,5843,5845,5847,5852,5859,5874,5888,5895,5896,5908,5919,5920,5927,5931,5933,5938,5946,5984,5998,6007,6010,6019,6023,6024,6025,6026,6027,6032,6037,6047,6053,6071,6075,6084,6113,6129,6155,6172,6173,6176,6191,6193,6195,6197,6212,6213,6216,6218,6221,6222,6239,6247,6248,6249,6251,6253,6290,6291,6296,6299,6305,6309,6343,6345,6347,6349,6359,6361,6364,6370,6372,6377,6380,6388,6396,6398,6399,6406,6429,6430,6431,6432,6433,6435,6441,6446,6480,6481,6484,6485,6486,6488,6489,6490,6491,6498,6533,6534,6543,6564,6565,6589,6591,6603,6604,6610,6640,6642,6657,6698,6700,6701,6757,6780,6823,6838,6846,6855,6856,6857,6858,6878,6879,6886,6898,6901,6903,6905,6906,6907,6909,6923,6934,6935,6936,6949,7003,7014,7016,7038,7039,7075,7082,7089,7119,7150,7206,7235,7292,7313,7322,7325,7385,7395,7457,7459,7473,7482,7483,7484,7501,7505,7507,7554,7564,7567,7582,7629,7631,7634,7678,7679,7697,7767,7785,7809,7833,7845,7859,7870,7881,7882,7908,7910,7912,7923,7963,7974,7999,8026,8058,8089,8123,8162,8178,8180,8196,8197,8263,8274,8339,8363,8383,8410,8449,8450,8467,8507,8509,8511,8517,8532,8536,8551,8572,8580,8582,8592,8597,8601,8602,8603,8604,8605,8606,8625,8639,8640,8658,8660,8664,8665,8666,8667,8668,8688,8689,8690,8700,8713,8716,8728,8733,8735,8737,8738,8739,8746,8747,8753,8761,8764,8781,8782,8784,8792,8793,8801,8820,8833,8837,8858,8880,8881,8884,8885,8891,8900,8901,8924,8935,8945,8946,8947,8950,8973,8974,8985,9034,9040,9046,9048,9064,9067,9078,9079,9080,9091,9155,9186,9187,9188,9203,9220,9228,9256,9257,9326,9359,9365,9375,9376,9377,9386,9416,9432,9436,9440,9462,9463,9490,9552,9557,9560,9597,9598,9599,9627,9628,9644,9665,9671,9683,9708,9729,9738,9739,9740,9741,9756,9758,9763,9793,9794,9800,9801,9847,9848,9859,9860,9884,9903,9905,9906,9914,9919,9926,9950,9985,9987,9991,10041,10077,10087,10089,10093,10094,10096,10105,10106,10126,10131,10225,10318,10319,10320,10321,10380,10398,2,8,9,4674,4675,4693,4735,4736,4738,4761,4763,4764,4774,4819,4821,4869,4999,5000,5017,5041,5098,5099,5105,5106,5108,5110,5119,5122,5123,5131,5144,5145,5151,5172,5173,5191,5196,5197,5198,5199,5203,5211,5214,5221,5276,5281,5282,5287,5293,5324,5334,5339,5349,5366,5368,5375,5376,5378,5389,5407,5409,5410,5417,5424,5425,5437,5438,5439,5440,5442,5443,5448,5449,5450,5451,5482,5483,5484,5492,5493,5494,5495,5539,5544,5546,5582,5584,5585,5587,5588,5590,5591,5593,5602,5607,5609,5610,5611,5613,5615,5616,5617,5618,5619,5620,5629,5639,5642,5653,5669,5670,5673,5683,5686,5687,5688,5715,5725,5740,5741,5750,5751,5753,5755,5760,5795,5800,5802,5861,5897,5898,5912,5918,5921,5922,5923,5924,5943,5947,5948,5957,5979,6011,6030,6031,6035,6036,6038,6063,6064,6065,6069,6070,6086,6097,6098,6131,6132,6136,6157,6160,6163,6185,6186,6214,6217,6226,6235,6237,6246,6250,6258,6259,6260,6261,6293,6310,6363,6400,6402,6403,6426,6427,6434,6438,6439,6442,6456,6472,6493,6494,6499,6510,6513,6526,6546,6552,6554,6569,6570])).
% 164.10/163.70 cnf(12109,plain,
% 164.10/163.70 (~P107(f316(f316(f224(a898),f316(a102,x121091)),x121091))),
% 164.10/163.70 inference(rename_variables,[],[4631])).
% 164.10/163.70 cnf(12112,plain,
% 164.10/163.70 (~P107(f316(f316(f224(a898),f316(a102,x121121)),x121121))),
% 164.10/163.70 inference(rename_variables,[],[4631])).
% 164.10/163.70 cnf(12115,plain,
% 164.10/163.70 (~P107(f316(f316(f224(a898),f316(a102,x121151)),x121151))),
% 164.10/163.70 inference(rename_variables,[],[4631])).
% 164.10/163.70 cnf(12118,plain,
% 164.10/163.70 (~P107(f316(f316(f224(a898),f316(a102,x121181)),x121181))),
% 164.10/163.70 inference(rename_variables,[],[4631])).
% 164.10/163.70 cnf(12121,plain,
% 164.10/163.70 (~P107(f316(f316(f225(a898),x121211),x121211))),
% 164.10/163.70 inference(rename_variables,[],[4622])).
% 164.10/163.70 cnf(12124,plain,
% 164.10/163.70 (~P107(f316(f316(f225(a898),x121241),x121241))),
% 164.10/163.70 inference(rename_variables,[],[4622])).
% 164.10/163.70 cnf(12127,plain,
% 164.10/163.70 (~P107(f316(f316(f225(a898),x121271),x121271))),
% 164.10/163.70 inference(rename_variables,[],[4622])).
% 164.10/163.70 cnf(12130,plain,
% 164.10/163.70 (~P107(f316(f316(f225(a898),x121301),x121301))),
% 164.10/163.70 inference(rename_variables,[],[4622])).
% 164.10/163.70 cnf(12146,plain,
% 164.10/163.70 (P107(f316(f316(f224(a898),f316(f316(f23(a898),x121461),f316(a102,x121461))),f2(a898)))),
% 164.10/163.70 inference(scs_inference,[],[3681,4608,4609,4589,10414,10424,10437,10448,10451,10555,10558,10561,10663,10798,11108,11301,11304,11327,11330,11527,11628,11635,11649,11695,11698,11731,11746,11809,11868,3368,4595,10647,10747,11211,3058,3060,3061,3064,3065,3068,3072,3073,3079,3083,3084,3086,3091,3092,3101,3105,3112,3118,3126,3127,3131,3156,3163,3201,3206,3207,3215,3222,3224,3226,3230,3244,4587,4003,11915,3294,11625,3408,10486,10489,10582,10585,10901,11640,11643,11757,11796,11801,3385,3898,3284,3643,3989,11671,3345,3280,3307,3303,3292,3293,3910,3505,11058,3378,4071,4602,10477,10644,3438,11997,4632,11237,11340,11580,11583,3550,3342,3343,10547,10877,3602,3262,3364,11661,4214,4073,11257,11396,11455,4650,11160,11409,11518,11544,11588,11594,4651,11290,11412,11521,4652,11415,4653,11473,4654,3363,3641,3804,4485,4486,4600,3741,3953,3514,10566,10686,10764,10837,10840,10880,10980,11227,11845,12094,3891,11901,3431,3526,11730,4626,10454,10457,10483,10607,10782,10988,11003,11118,11566,11664,11844,12065,12070,4638,11773,11804,11841,11848,11881,3878,3650,4021,3474,3476,3450,4623,4597,3634,4639,4207,11541,3763,3486,12018,4630,10442,10445,10615,10710,10729,10736,10759,10767,10770,10787,10973,11214,11435,11724,11818,11966,12083,4176,4082,11055,4130,3805,4164,3822,10610,10707,11260,11345,11428,4642,11006,11420,3447,10575,10673,10823,10887,10962,11009,11012,11043,11066,11102,11140,11179,11969,12015,3448,10602,10658,10892,10983,11105,11749,12048,12051,3449,3522,4622,10494,10523,11027,11069,11078,11929,11950,12121,12124,12127,3597,10752,10843,11113,11157,11399,11402,11481,11563,11734,4634,11036,11149,11170,11173,11240,11243,11254,11361,11369,11383,11423,11440,11449,11489,11530,11535,11538,11557,11560,11597,11602,11605,11608,11611,11851,11994,3507,10874,10904,10913,10916,10919,3546,3539,3957,3896,10526,11904,11932,4631,10474,10862,10865,11364,11380,11867,11920,11954,11981,12080,12109,12112,12115,3468,10907,11063,11133,11933,3920,4255,4628,3965,4614,4617,3424,3428,4616,4615,3753,4349,4644,10773,10776,4649,11246,11249,11443,11554,11571,4039,11614,11953,3886,11176,11182,3737,11318,3888,10910,11279,11452,11486,3598,3704,10826,10829,10922,11089,4647,11898,4648,10666,4310,4218,3919,3864,4645,10499,10502,10868,10871,11770,4646,11878,3889,10832,11095,4150,4661,4687,4742,4746,4770,4785,4792,4794,4830,4835,4864,4870,4956,4982,4983,4998,5024,5052,5053,5076,5077,5091,5095,5120,5126,5142,5146,5147,5148,5153,5154,5177,5202,5204,5205,5215,5220,5226,5262,5263,5271,5279,5283,5285,5299,5302,5308,5313,5314,5327,5333,5336,5337,5341,5369,5384,5393,5395,5396,5399,5400,5401,5411,5413,5419,5420,5421,5427,5431,5432,5433,5441,5445,5446,5452,5465,5473,5486,5488,5496,5498,5499,5502,5506,5533,5547,5548,5563,5575,5597,5603,5627,5628,5631,5650,5658,5659,5664,5665,5675,5677,5690,5694,5703,5704,5706,5707,5723,5728,5737,5738,5749,5756,5770,5774,5777,5783,5784,5785,5788,5793,5829,5830,5833,5835,5837,5839,5840,5841,5843,5845,5847,5852,5859,5874,5888,5895,5896,5908,5919,5920,5927,5931,5933,5938,5946,5984,5998,6007,6010,6019,6023,6024,6025,6026,6027,6032,6037,6047,6053,6071,6075,6084,6113,6129,6155,6172,6173,6176,6191,6193,6195,6197,6212,6213,6216,6218,6221,6222,6239,6247,6248,6249,6251,6253,6290,6291,6296,6299,6305,6309,6343,6345,6347,6349,6359,6361,6364,6370,6372,6377,6380,6388,6396,6398,6399,6406,6429,6430,6431,6432,6433,6435,6441,6446,6480,6481,6484,6485,6486,6488,6489,6490,6491,6498,6533,6534,6543,6564,6565,6589,6591,6603,6604,6610,6640,6642,6657,6698,6700,6701,6757,6780,6823,6838,6846,6855,6856,6857,6858,6878,6879,6886,6898,6901,6903,6905,6906,6907,6909,6923,6934,6935,6936,6949,7003,7014,7016,7038,7039,7075,7082,7089,7119,7150,7206,7235,7292,7313,7322,7325,7385,7395,7457,7459,7473,7482,7483,7484,7501,7505,7507,7554,7564,7567,7582,7629,7631,7634,7678,7679,7697,7767,7785,7809,7833,7845,7859,7870,7881,7882,7908,7910,7912,7923,7963,7974,7999,8026,8058,8089,8123,8162,8178,8180,8196,8197,8263,8274,8339,8363,8383,8410,8449,8450,8467,8507,8509,8511,8517,8532,8536,8551,8572,8580,8582,8592,8597,8601,8602,8603,8604,8605,8606,8625,8639,8640,8658,8660,8664,8665,8666,8667,8668,8688,8689,8690,8700,8713,8716,8728,8733,8735,8737,8738,8739,8746,8747,8753,8761,8764,8781,8782,8784,8792,8793,8801,8820,8833,8837,8858,8880,8881,8884,8885,8891,8900,8901,8924,8935,8945,8946,8947,8950,8973,8974,8985,9034,9040,9046,9048,9064,9067,9078,9079,9080,9091,9155,9186,9187,9188,9203,9220,9228,9256,9257,9326,9359,9365,9375,9376,9377,9386,9416,9432,9436,9440,9462,9463,9490,9552,9557,9560,9597,9598,9599,9627,9628,9644,9665,9671,9683,9708,9729,9738,9739,9740,9741,9756,9758,9763,9793,9794,9800,9801,9847,9848,9859,9860,9884,9903,9905,9906,9914,9919,9926,9950,9985,9987,9991,10041,10077,10087,10089,10093,10094,10096,10105,10106,10126,10131,10225,10318,10319,10320,10321,10380,10398,2,8,9,4674,4675,4693,4735,4736,4738,4761,4763,4764,4774,4819,4821,4869,4999,5000,5017,5041,5098,5099,5105,5106,5108,5110,5119,5122,5123,5131,5144,5145,5151,5172,5173,5191,5196,5197,5198,5199,5203,5211,5214,5221,5276,5281,5282,5287,5293,5324,5334,5339,5349,5366,5368,5375,5376,5378,5389,5407,5409,5410,5417,5424,5425,5437,5438,5439,5440,5442,5443,5448,5449,5450,5451,5482,5483,5484,5492,5493,5494,5495,5539,5544,5546,5582,5584,5585,5587,5588,5590,5591,5593,5602,5607,5609,5610,5611,5613,5615,5616,5617,5618,5619,5620,5629,5639,5642,5653,5669,5670,5673,5683,5686,5687,5688,5715,5725,5740,5741,5750,5751,5753,5755,5760,5795,5800,5802,5861,5897,5898,5912,5918,5921,5922,5923,5924,5943,5947,5948,5957,5979,6011,6030,6031,6035,6036,6038,6063,6064,6065,6069,6070,6086,6097,6098,6131,6132,6136,6157,6160,6163,6185,6186,6214,6217,6226,6235,6237,6246,6250,6258,6259,6260,6261,6293,6310,6363,6400,6402,6403,6426,6427,6434,6438,6439,6442,6456,6472,6493,6494,6499,6510,6513,6526,6546,6552,6554,6569,6570,6573,6574,6576,6578,6579,6580,6582,6584,6590,6596,6597,6599,6600,6606,6608,6650])).
% 164.10/163.70 cnf(12147,plain,
% 164.10/163.70 (P107(f316(f316(f224(a898),x121471),x121471))),
% 164.10/163.70 inference(rename_variables,[],[3447])).
% 164.10/163.70 cnf(12150,plain,
% 164.10/163.70 (P22(a898,a898,a102,x121501)),
% 164.10/163.70 inference(rename_variables,[],[3649])).
% 164.10/163.70 cnf(12152,plain,
% 164.10/163.70 (P107(f316(f316(f224(a1),x121521),f316(f69(a1),x121521)))),
% 164.10/163.70 inference(scs_inference,[],[3681,4608,4609,4589,10414,10424,10437,10448,10451,10555,10558,10561,10663,10798,11108,11301,11304,11327,11330,11527,11628,11635,11649,11695,11698,11731,11746,11809,11868,3649,3368,4595,10647,10747,11211,3058,3060,3061,3064,3065,3068,3072,3073,3079,3083,3084,3086,3091,3092,3101,3105,3112,3118,3126,3127,3131,3156,3163,3201,3206,3207,3215,3222,3224,3226,3230,3244,4587,4003,11915,3294,11625,3408,10486,10489,10582,10585,10901,11640,11643,11757,11796,11801,3385,3898,3284,3643,3989,11671,3345,3280,3307,3303,3292,3293,3910,3505,11058,3378,4071,4602,10477,10644,3438,11997,4632,11237,11340,11580,11583,3550,3342,3343,10547,10877,3602,3262,3364,11661,4214,4073,11257,11396,11455,4650,11160,11409,11518,11544,11588,11594,4651,11290,11412,11521,4652,11415,4653,11473,4654,3363,3641,3804,4485,4486,4600,3741,3953,3514,10566,10686,10764,10837,10840,10880,10980,11227,11845,12094,3891,11901,3431,3526,11730,4626,10454,10457,10483,10607,10782,10988,11003,11118,11566,11664,11844,12065,12070,4638,11773,11804,11841,11848,11881,3878,3650,4021,3474,3476,3450,4623,4597,3634,4639,4207,11541,3763,3486,12018,4630,10442,10445,10615,10710,10729,10736,10759,10767,10770,10787,10973,11214,11435,11724,11818,11966,12083,4176,4082,11055,4130,3805,4164,3822,10610,10707,11260,11345,11428,4642,11006,11420,3447,10575,10673,10823,10887,10962,11009,11012,11043,11066,11102,11140,11179,11969,12015,3448,10602,10658,10892,10983,11105,11749,12048,12051,12062,3449,3522,4622,10494,10523,11027,11069,11078,11929,11950,12121,12124,12127,3597,10752,10843,11113,11157,11399,11402,11481,11563,11734,4634,11036,11149,11170,11173,11240,11243,11254,11361,11369,11383,11423,11440,11449,11489,11530,11535,11538,11557,11560,11597,11602,11605,11608,11611,11851,11994,3507,10874,10904,10913,10916,10919,3546,3539,3957,3896,10526,11904,11932,4631,10474,10862,10865,11364,11380,11867,11920,11954,11981,12080,12109,12112,12115,3468,10907,11063,11133,11933,3920,4255,4628,3965,4614,4617,3424,3428,4616,4615,3753,4349,4644,10773,10776,4649,11246,11249,11443,11554,11571,4039,11614,11953,3886,11176,11182,3737,11318,3888,10910,11279,11452,11486,3598,3704,10826,10829,10922,11089,4647,11898,4648,10666,4310,4218,3919,3864,4645,10499,10502,10868,10871,11770,4646,11878,3889,10832,11095,4150,4661,4687,4742,4746,4770,4785,4792,4794,4830,4835,4864,4870,4956,4982,4983,4998,5024,5052,5053,5076,5077,5091,5095,5120,5126,5142,5146,5147,5148,5153,5154,5177,5202,5204,5205,5215,5220,5226,5262,5263,5271,5279,5283,5285,5299,5302,5308,5313,5314,5327,5333,5336,5337,5341,5369,5384,5393,5395,5396,5399,5400,5401,5411,5413,5419,5420,5421,5427,5431,5432,5433,5441,5445,5446,5452,5465,5473,5486,5488,5496,5498,5499,5502,5506,5533,5547,5548,5563,5575,5597,5603,5627,5628,5631,5650,5658,5659,5664,5665,5675,5677,5690,5694,5703,5704,5706,5707,5723,5728,5737,5738,5749,5756,5770,5774,5777,5783,5784,5785,5788,5793,5829,5830,5833,5835,5837,5839,5840,5841,5843,5845,5847,5852,5859,5874,5888,5895,5896,5908,5919,5920,5927,5931,5933,5938,5946,5984,5998,6007,6010,6019,6023,6024,6025,6026,6027,6032,6037,6047,6053,6071,6075,6084,6113,6129,6155,6172,6173,6176,6191,6193,6195,6197,6212,6213,6216,6218,6221,6222,6239,6247,6248,6249,6251,6253,6290,6291,6296,6299,6305,6309,6343,6345,6347,6349,6359,6361,6364,6370,6372,6377,6380,6388,6396,6398,6399,6406,6429,6430,6431,6432,6433,6435,6441,6446,6480,6481,6484,6485,6486,6488,6489,6490,6491,6498,6533,6534,6543,6564,6565,6589,6591,6603,6604,6610,6640,6642,6657,6698,6700,6701,6757,6780,6823,6838,6846,6855,6856,6857,6858,6878,6879,6886,6898,6901,6903,6905,6906,6907,6909,6923,6934,6935,6936,6949,7003,7014,7016,7038,7039,7075,7082,7089,7119,7150,7206,7235,7292,7313,7322,7325,7385,7395,7457,7459,7473,7482,7483,7484,7501,7505,7507,7554,7564,7567,7582,7629,7631,7634,7678,7679,7697,7767,7785,7809,7833,7845,7859,7870,7881,7882,7908,7910,7912,7923,7963,7974,7999,8026,8058,8089,8123,8162,8178,8180,8196,8197,8263,8274,8339,8363,8383,8410,8449,8450,8467,8507,8509,8511,8517,8532,8536,8551,8572,8580,8582,8592,8597,8601,8602,8603,8604,8605,8606,8625,8639,8640,8658,8660,8664,8665,8666,8667,8668,8688,8689,8690,8700,8713,8716,8728,8733,8735,8737,8738,8739,8746,8747,8753,8761,8764,8781,8782,8784,8792,8793,8801,8820,8833,8837,8858,8880,8881,8884,8885,8891,8900,8901,8924,8935,8945,8946,8947,8950,8973,8974,8985,9034,9040,9046,9048,9064,9067,9078,9079,9080,9091,9155,9186,9187,9188,9203,9220,9228,9256,9257,9326,9359,9365,9375,9376,9377,9386,9416,9432,9436,9440,9462,9463,9490,9552,9557,9560,9597,9598,9599,9627,9628,9644,9665,9671,9683,9708,9729,9738,9739,9740,9741,9756,9758,9763,9793,9794,9800,9801,9847,9848,9859,9860,9884,9903,9905,9906,9914,9919,9926,9950,9985,9987,9991,10041,10077,10087,10089,10093,10094,10096,10105,10106,10126,10131,10225,10318,10319,10320,10321,10380,10398,2,8,9,4674,4675,4693,4735,4736,4738,4761,4763,4764,4774,4819,4821,4869,4999,5000,5017,5041,5098,5099,5105,5106,5108,5110,5119,5122,5123,5131,5144,5145,5151,5172,5173,5191,5196,5197,5198,5199,5203,5211,5214,5221,5276,5281,5282,5287,5293,5324,5334,5339,5349,5366,5368,5375,5376,5378,5389,5407,5409,5410,5417,5424,5425,5437,5438,5439,5440,5442,5443,5448,5449,5450,5451,5482,5483,5484,5492,5493,5494,5495,5539,5544,5546,5582,5584,5585,5587,5588,5590,5591,5593,5602,5607,5609,5610,5611,5613,5615,5616,5617,5618,5619,5620,5629,5639,5642,5653,5669,5670,5673,5683,5686,5687,5688,5715,5725,5740,5741,5750,5751,5753,5755,5760,5795,5800,5802,5861,5897,5898,5912,5918,5921,5922,5923,5924,5943,5947,5948,5957,5979,6011,6030,6031,6035,6036,6038,6063,6064,6065,6069,6070,6086,6097,6098,6131,6132,6136,6157,6160,6163,6185,6186,6214,6217,6226,6235,6237,6246,6250,6258,6259,6260,6261,6293,6310,6363,6400,6402,6403,6426,6427,6434,6438,6439,6442,6456,6472,6493,6494,6499,6510,6513,6526,6546,6552,6554,6569,6570,6573,6574,6576,6578,6579,6580,6582,6584,6590,6596,6597,6599,6600,6606,6608,6650,6656,6671])).
% 164.10/163.70 cnf(12153,plain,
% 164.10/163.70 (P107(f316(f316(f224(a1),x121531),x121531))),
% 164.10/163.70 inference(rename_variables,[],[3448])).
% 164.10/163.70 cnf(12164,plain,
% 164.10/163.70 (P107(f316(f316(f224(a1),x121641),x121641))),
% 164.10/163.70 inference(rename_variables,[],[3448])).
% 164.10/163.70 cnf(12167,plain,
% 164.10/163.70 (P107(f316(f316(f224(f905(f904(f899(x121671),f899(x121671)),a895)),f148(x121671,x121672)),f296(f899(x121671),f147(x121671,x121672))))),
% 164.10/163.70 inference(rename_variables,[],[4135])).
% 164.10/163.70 cnf(12174,plain,
% 164.10/163.70 (P107(f316(f316(f225(a898),x121741),f316(a102,x121741)))),
% 164.10/163.70 inference(rename_variables,[],[3514])).
% 164.10/163.70 cnf(12177,plain,
% 164.10/163.70 (P107(f316(f316(f318(f905(x121771,a895)),x121772),f316(f297(x121771),x121772)))),
% 164.10/163.70 inference(rename_variables,[],[3805])).
% 164.10/163.70 cnf(12178,plain,
% 164.10/163.70 (~E(f316(a102,x121781),x121781)),
% 164.10/163.70 inference(rename_variables,[],[4589])).
% 164.10/163.70 cnf(12183,plain,
% 164.10/163.70 (P107(f316(f316(f224(a1),x121831),x121831))),
% 164.10/163.70 inference(rename_variables,[],[3448])).
% 164.10/163.70 cnf(12188,plain,
% 164.10/163.70 (P107(f316(f316(f224(a1),x121881),x121881))),
% 164.10/163.70 inference(rename_variables,[],[3448])).
% 164.10/163.70 cnf(12199,plain,
% 164.10/163.70 (P107(f316(f316(f224(f905(x121991,a895)),x121992),f316(f316(f298(x121991),x121993),x121992)))),
% 164.10/163.70 inference(rename_variables,[],[3886])).
% 164.10/163.70 cnf(12202,plain,
% 164.10/163.70 (P107(f316(f316(f224(a898),x122021),x122021))),
% 164.10/163.70 inference(rename_variables,[],[3447])).
% 164.10/163.70 cnf(12203,plain,
% 164.10/163.70 (~E(f316(a102,x122031),x122031)),
% 164.10/163.70 inference(rename_variables,[],[4589])).
% 164.10/163.70 cnf(12216,plain,
% 164.10/163.70 (~P107(f316(f316(f225(a898),x122161),x122161))),
% 164.10/163.70 inference(rename_variables,[],[4622])).
% 164.10/163.70 cnf(12217,plain,
% 164.10/163.70 (~E(f316(a102,x122171),x122171)),
% 164.10/163.70 inference(rename_variables,[],[4589])).
% 164.10/163.70 cnf(12220,plain,
% 164.10/163.70 (P107(f316(f316(f224(a898),x122201),x122201))),
% 164.10/163.70 inference(rename_variables,[],[3447])).
% 164.10/163.70 cnf(12223,plain,
% 164.10/163.70 (P107(f316(f316(f224(a898),x122231),x122231))),
% 164.10/163.70 inference(rename_variables,[],[3447])).
% 164.10/163.70 cnf(12226,plain,
% 164.10/163.70 (P107(f316(f316(f224(a898),x122261),x122261))),
% 164.10/163.70 inference(rename_variables,[],[3447])).
% 164.10/163.70 cnf(12229,plain,
% 164.10/163.70 (P107(f316(f316(f224(a898),x122291),x122291))),
% 164.10/163.70 inference(rename_variables,[],[3447])).
% 164.10/163.70 cnf(12231,plain,
% 164.10/163.70 (P107(f316(f316(f225(a898),f316(a94,f2(a1))),f316(a102,x122311)))),
% 164.10/163.70 inference(scs_inference,[],[3681,4608,4609,4589,10414,10424,10437,10448,10451,10555,10558,10561,10663,10798,11108,11301,11304,11327,11330,11527,11628,11635,11649,11695,11698,11731,11746,11809,11868,11884,12178,12203,3649,3368,4595,10647,10747,11211,3058,3060,3061,3064,3065,3068,3072,3073,3079,3083,3084,3086,3091,3092,3101,3105,3112,3118,3126,3127,3131,3156,3163,3201,3206,3207,3215,3222,3224,3226,3230,3244,4587,4003,11915,3294,11625,3408,10486,10489,10582,10585,10901,11640,11643,11757,11796,11801,3385,3898,3284,3643,3989,11671,3345,3280,3307,3303,3292,3293,3910,3505,11058,3378,4071,4602,10477,10644,3438,11997,4632,11237,11340,11580,11583,3550,3342,3343,10547,10877,3602,3262,3364,11661,4214,4073,11257,11396,11455,4650,11160,11409,11518,11544,11588,11594,4651,11290,11412,11521,4652,11415,4653,11473,4654,3363,3641,3804,4485,4486,4600,3741,3953,3514,10566,10686,10764,10837,10840,10880,10980,11227,11845,12094,12174,3891,11901,3431,3526,11730,4626,10454,10457,10483,10607,10782,10988,11003,11118,11566,11664,11844,12065,12070,4638,11773,11804,11841,11848,11881,3878,3650,4021,3474,3476,3450,4623,4597,3634,4639,4207,11541,3763,3486,12018,4630,10442,10445,10615,10710,10729,10736,10759,10767,10770,10787,10973,11214,11435,11724,11818,11966,12083,4176,4135,4082,11055,4130,3805,11852,4164,3822,10610,10707,11260,11345,11428,4642,11006,11420,3447,10575,10673,10823,10887,10962,11009,11012,11043,11066,11102,11140,11179,11969,12015,12147,12202,12220,12223,12226,3448,10602,10658,10892,10983,11105,11749,12048,12051,12062,12153,12164,12183,12188,3449,3522,4622,10494,10523,11027,11069,11078,11929,11950,12121,12124,12127,12130,3597,10752,10843,11113,11157,11399,11402,11481,11563,11734,4634,11036,11149,11170,11173,11240,11243,11254,11361,11369,11383,11423,11440,11449,11489,11530,11535,11538,11557,11560,11597,11602,11605,11608,11611,11851,11994,3507,10874,10904,10913,10916,10919,3546,3539,3957,3896,10526,11904,11932,4631,10474,10862,10865,11364,11380,11867,11920,11954,11981,12080,12109,12112,12115,3468,10907,11063,11133,11933,3920,4255,4628,3965,4614,4617,3424,3428,4616,4615,3753,4349,4644,10773,10776,4649,11246,11249,11443,11554,11571,4039,11614,11953,3886,11176,11182,11200,3737,11318,3888,10910,11279,11452,11486,3598,3704,10826,10829,10922,11089,4647,11898,4648,10666,4310,4218,3919,3864,4645,10499,10502,10868,10871,11770,4646,11878,3889,10832,11095,4150,4661,4687,4742,4746,4770,4785,4792,4794,4830,4835,4864,4870,4956,4982,4983,4998,5024,5052,5053,5076,5077,5091,5095,5120,5126,5142,5146,5147,5148,5153,5154,5177,5202,5204,5205,5215,5220,5226,5262,5263,5271,5279,5283,5285,5299,5302,5308,5313,5314,5327,5333,5336,5337,5341,5369,5384,5393,5395,5396,5399,5400,5401,5411,5413,5419,5420,5421,5427,5431,5432,5433,5441,5445,5446,5452,5465,5473,5486,5488,5496,5498,5499,5502,5506,5533,5547,5548,5563,5575,5597,5603,5627,5628,5631,5650,5658,5659,5664,5665,5675,5677,5690,5694,5703,5704,5706,5707,5723,5728,5737,5738,5749,5756,5770,5774,5777,5783,5784,5785,5788,5793,5829,5830,5833,5835,5837,5839,5840,5841,5843,5845,5847,5852,5859,5874,5888,5895,5896,5908,5919,5920,5927,5931,5933,5938,5946,5984,5998,6007,6010,6019,6023,6024,6025,6026,6027,6032,6037,6047,6053,6071,6075,6084,6113,6129,6155,6172,6173,6176,6191,6193,6195,6197,6212,6213,6216,6218,6221,6222,6239,6247,6248,6249,6251,6253,6290,6291,6296,6299,6305,6309,6343,6345,6347,6349,6359,6361,6364,6370,6372,6377,6380,6388,6396,6398,6399,6406,6429,6430,6431,6432,6433,6435,6441,6446,6480,6481,6484,6485,6486,6488,6489,6490,6491,6498,6533,6534,6543,6564,6565,6589,6591,6603,6604,6610,6640,6642,6657,6698,6700,6701,6757,6780,6823,6838,6846,6855,6856,6857,6858,6878,6879,6886,6898,6901,6903,6905,6906,6907,6909,6923,6934,6935,6936,6949,7003,7014,7016,7038,7039,7075,7082,7089,7119,7150,7206,7235,7292,7313,7322,7325,7385,7395,7457,7459,7473,7482,7483,7484,7501,7505,7507,7554,7564,7567,7582,7629,7631,7634,7678,7679,7697,7767,7785,7809,7833,7845,7859,7870,7881,7882,7908,7910,7912,7923,7963,7974,7999,8026,8058,8089,8123,8162,8178,8180,8196,8197,8263,8274,8339,8363,8383,8410,8449,8450,8467,8507,8509,8511,8517,8532,8536,8551,8572,8580,8582,8592,8597,8601,8602,8603,8604,8605,8606,8625,8639,8640,8658,8660,8664,8665,8666,8667,8668,8688,8689,8690,8700,8713,8716,8728,8733,8735,8737,8738,8739,8746,8747,8753,8761,8764,8781,8782,8784,8792,8793,8801,8820,8833,8837,8858,8880,8881,8884,8885,8891,8900,8901,8924,8935,8945,8946,8947,8950,8973,8974,8985,9034,9040,9046,9048,9064,9067,9078,9079,9080,9091,9155,9186,9187,9188,9203,9220,9228,9256,9257,9326,9359,9365,9375,9376,9377,9386,9416,9432,9436,9440,9462,9463,9490,9552,9557,9560,9597,9598,9599,9627,9628,9644,9665,9671,9683,9708,9729,9738,9739,9740,9741,9756,9758,9763,9793,9794,9800,9801,9847,9848,9859,9860,9884,9903,9905,9906,9914,9919,9926,9950,9985,9987,9991,10041,10077,10087,10089,10093,10094,10096,10105,10106,10126,10131,10225,10318,10319,10320,10321,10380,10398,2,8,9,4674,4675,4693,4735,4736,4738,4761,4763,4764,4774,4819,4821,4869,4999,5000,5017,5041,5098,5099,5105,5106,5108,5110,5119,5122,5123,5131,5144,5145,5151,5172,5173,5191,5196,5197,5198,5199,5203,5211,5214,5221,5276,5281,5282,5287,5293,5324,5334,5339,5349,5366,5368,5375,5376,5378,5389,5407,5409,5410,5417,5424,5425,5437,5438,5439,5440,5442,5443,5448,5449,5450,5451,5482,5483,5484,5492,5493,5494,5495,5539,5544,5546,5582,5584,5585,5587,5588,5590,5591,5593,5602,5607,5609,5610,5611,5613,5615,5616,5617,5618,5619,5620,5629,5639,5642,5653,5669,5670,5673,5683,5686,5687,5688,5715,5725,5740,5741,5750,5751,5753,5755,5760,5795,5800,5802,5861,5897,5898,5912,5918,5921,5922,5923,5924,5943,5947,5948,5957,5979,6011,6030,6031,6035,6036,6038,6063,6064,6065,6069,6070,6086,6097,6098,6131,6132,6136,6157,6160,6163,6185,6186,6214,6217,6226,6235,6237,6246,6250,6258,6259,6260,6261,6293,6310,6363,6400,6402,6403,6426,6427,6434,6438,6439,6442,6456,6472,6493,6494,6499,6510,6513,6526,6546,6552,6554,6569,6570,6573,6574,6576,6578,6579,6580,6582,6584,6590,6596,6597,6599,6600,6606,6608,6650,6656,6671,6675,6676,6677,6711,6716,6718,6723,6724,6734,6738,6752,6775,6776,6778,6779,6790,6796,6815,6818,6839,6859,6872,6873,6874,6880,6894,6913,6915,6917,6919,6924])).
% 164.10/163.70 cnf(12232,plain,
% 164.10/163.70 (P107(f316(f316(f224(a1),x122321),x122321))),
% 164.10/163.70 inference(rename_variables,[],[3448])).
% 164.10/163.70 cnf(12235,plain,
% 164.10/163.70 (~P107(f316(f316(f225(a898),x122351),x122351))),
% 164.10/163.70 inference(rename_variables,[],[4622])).
% 164.10/163.70 cnf(12238,plain,
% 164.10/163.70 (~P107(f316(f316(f225(a898),x122381),x122381))),
% 164.10/163.70 inference(rename_variables,[],[4622])).
% 164.10/163.70 cnf(12239,plain,
% 164.10/163.70 (P107(f316(f316(f225(a898),x122391),f316(a102,x122391)))),
% 164.10/163.70 inference(rename_variables,[],[3514])).
% 164.10/163.70 cnf(12246,plain,
% 164.10/163.70 (~E(f316(a102,x122461),x122461)),
% 164.10/163.70 inference(rename_variables,[],[4589])).
% 164.10/163.70 cnf(12251,plain,
% 164.10/163.70 (~P107(f316(f316(f225(a898),x122511),x122511))),
% 164.10/163.70 inference(rename_variables,[],[4622])).
% 164.10/163.70 cnf(12252,plain,
% 164.10/163.70 (~E(f316(a102,x122521),x122521)),
% 164.10/163.70 inference(rename_variables,[],[4589])).
% 164.10/163.70 cnf(12255,plain,
% 164.10/163.70 (P107(f316(f316(f224(a1),x122551),x122551))),
% 164.10/163.70 inference(rename_variables,[],[3448])).
% 164.10/163.70 cnf(12272,plain,
% 164.10/163.70 (P107(f316(f316(f224(a1),x122721),x122721))),
% 164.10/163.70 inference(rename_variables,[],[3448])).
% 164.10/163.70 cnf(12277,plain,
% 164.10/163.70 (P107(f316(f316(f224(a898),f2(a898)),x122771))),
% 164.10/163.70 inference(rename_variables,[],[3468])).
% 164.10/163.70 cnf(12293,plain,
% 164.10/163.70 (~P107(f316(f316(f225(a898),x122931),f2(a898)))),
% 164.10/163.70 inference(rename_variables,[],[4626])).
% 164.10/163.70 cnf(12296,plain,
% 164.10/163.70 (~P107(f316(f316(f225(a898),x122961),f2(a898)))),
% 164.10/163.70 inference(rename_variables,[],[4626])).
% 164.10/163.70 cnf(12299,plain,
% 164.10/163.70 (~P107(f316(f316(f318(x122991),x122992),f178(f905(x122991,a895))))),
% 164.10/163.70 inference(rename_variables,[],[4634])).
% 164.10/163.70 cnf(12302,plain,
% 164.10/163.70 (~P107(f316(f316(f318(x123021),x123022),f178(f905(x123021,a895))))),
% 164.10/163.70 inference(rename_variables,[],[4634])).
% 164.10/163.70 cnf(12304,plain,
% 164.10/163.70 (~P107(f316(f316(f225(a898),x123041),f316(f316(f91(a898),x123042),x123041)))),
% 164.10/163.70 inference(scs_inference,[],[3681,4608,4609,4589,10414,10424,10437,10448,10451,10555,10558,10561,10663,10798,11108,11301,11304,11327,11330,11527,11628,11635,11649,11695,11698,11731,11746,11809,11868,11884,12178,12203,12217,12246,3649,3368,4595,10647,10747,11211,3058,3060,3061,3064,3065,3068,3072,3073,3079,3083,3084,3086,3091,3092,3101,3105,3112,3118,3126,3127,3131,3156,3163,3201,3206,3207,3215,3222,3224,3226,3230,3244,4587,4003,11915,3294,11625,3408,10486,10489,10582,10585,10901,11640,11643,11757,11796,11801,3385,3394,3898,4200,3284,3643,3989,11671,3345,3280,3307,3303,3292,3293,3910,3505,11058,3378,4071,4602,10477,10644,3438,11997,4632,11237,11340,11580,11583,3550,3342,3343,10547,10877,3602,3262,3364,11661,4214,4073,11257,11396,11455,4650,11160,11409,11518,11544,11588,11594,4651,11290,11412,11521,4652,11415,4653,11473,4654,3363,3641,3804,4485,4486,4600,3741,3953,3514,10566,10686,10764,10837,10840,10880,10980,11227,11845,12094,12174,3891,11901,3431,3526,11730,4626,10454,10457,10483,10607,10782,10988,11003,11118,11566,11664,11844,12065,12070,12293,4638,11773,11804,11841,11848,11881,3878,3650,4021,3474,3476,3450,4623,4597,3634,4639,4207,11541,3763,3486,12018,4630,10442,10445,10615,10710,10729,10736,10759,10767,10770,10787,10973,11214,11435,11724,11818,11966,12083,4176,4135,4082,11055,4130,3805,11852,4164,3822,10610,10707,11260,11345,11428,4642,11006,11420,3447,10575,10673,10823,10887,10962,11009,11012,11043,11066,11102,11140,11179,11969,12015,12147,12202,12220,12223,12226,12229,3448,10602,10658,10892,10983,11105,11749,12048,12051,12062,12153,12164,12183,12188,12232,12255,3449,3522,4622,10494,10523,11027,11069,11078,11929,11950,12121,12124,12127,12130,12216,12235,12238,12251,3597,10752,10843,11113,11157,11399,11402,11481,11563,11734,4634,11036,11149,11170,11173,11240,11243,11254,11361,11369,11383,11423,11440,11449,11489,11530,11535,11538,11557,11560,11597,11602,11605,11608,11611,11851,11994,12027,12299,3507,10874,10904,10913,10916,10919,3546,3539,3957,3896,10526,11904,11932,4631,10474,10862,10865,11364,11380,11867,11920,11954,11981,12080,12109,12112,12115,12118,3468,10907,11063,11133,11933,12079,3920,4255,4628,3931,3965,4614,4617,3424,3428,4616,4615,3753,4349,4644,10773,10776,4649,11246,11249,11443,11554,11571,4039,11614,11953,3886,11176,11182,11200,3737,11318,3888,10910,11279,11452,11486,3598,3704,10826,10829,10922,11089,4647,11898,4648,10666,4310,4218,3919,3864,4645,10499,10502,10868,10871,11770,4646,11878,3889,10832,11095,4150,4661,4687,4742,4746,4770,4785,4792,4794,4830,4835,4864,4870,4956,4982,4983,4998,5024,5052,5053,5076,5077,5091,5095,5120,5126,5142,5146,5147,5148,5153,5154,5177,5202,5204,5205,5215,5220,5226,5262,5263,5271,5279,5283,5285,5299,5302,5308,5313,5314,5327,5333,5336,5337,5341,5369,5384,5393,5395,5396,5399,5400,5401,5411,5413,5419,5420,5421,5427,5431,5432,5433,5441,5445,5446,5452,5465,5473,5486,5488,5496,5498,5499,5502,5506,5533,5547,5548,5563,5575,5597,5603,5627,5628,5631,5650,5658,5659,5664,5665,5675,5677,5690,5694,5703,5704,5706,5707,5723,5728,5737,5738,5749,5756,5770,5774,5777,5783,5784,5785,5788,5793,5829,5830,5833,5835,5837,5839,5840,5841,5843,5845,5847,5852,5859,5874,5888,5895,5896,5908,5919,5920,5927,5931,5933,5938,5946,5984,5998,6007,6010,6019,6023,6024,6025,6026,6027,6032,6037,6047,6053,6071,6075,6084,6113,6129,6155,6172,6173,6176,6191,6193,6195,6197,6212,6213,6216,6218,6221,6222,6239,6247,6248,6249,6251,6253,6290,6291,6296,6299,6305,6309,6343,6345,6347,6349,6359,6361,6364,6370,6372,6377,6380,6388,6396,6398,6399,6406,6429,6430,6431,6432,6433,6435,6441,6446,6480,6481,6484,6485,6486,6488,6489,6490,6491,6498,6533,6534,6543,6564,6565,6589,6591,6603,6604,6610,6640,6642,6657,6698,6700,6701,6757,6780,6823,6838,6846,6855,6856,6857,6858,6878,6879,6886,6898,6901,6903,6905,6906,6907,6909,6923,6934,6935,6936,6949,7003,7014,7016,7038,7039,7075,7082,7089,7119,7150,7206,7235,7292,7313,7322,7325,7385,7395,7457,7459,7473,7482,7483,7484,7501,7505,7507,7554,7564,7567,7582,7629,7631,7634,7678,7679,7697,7767,7785,7809,7833,7845,7859,7870,7881,7882,7908,7910,7912,7923,7963,7974,7999,8026,8058,8089,8123,8162,8178,8180,8196,8197,8263,8274,8339,8363,8383,8410,8449,8450,8467,8507,8509,8511,8517,8532,8536,8551,8572,8580,8582,8592,8597,8601,8602,8603,8604,8605,8606,8625,8639,8640,8658,8660,8664,8665,8666,8667,8668,8688,8689,8690,8700,8713,8716,8728,8733,8735,8737,8738,8739,8746,8747,8753,8761,8764,8781,8782,8784,8792,8793,8801,8820,8833,8837,8858,8880,8881,8884,8885,8891,8900,8901,8924,8935,8945,8946,8947,8950,8973,8974,8985,9034,9040,9046,9048,9064,9067,9078,9079,9080,9091,9155,9186,9187,9188,9203,9220,9228,9256,9257,9326,9359,9365,9375,9376,9377,9386,9416,9432,9436,9440,9462,9463,9490,9552,9557,9560,9597,9598,9599,9627,9628,9644,9665,9671,9683,9708,9729,9738,9739,9740,9741,9756,9758,9763,9793,9794,9800,9801,9847,9848,9859,9860,9884,9903,9905,9906,9914,9919,9926,9950,9985,9987,9991,10041,10077,10087,10089,10093,10094,10096,10105,10106,10126,10131,10225,10318,10319,10320,10321,10380,10398,2,8,9,4674,4675,4693,4735,4736,4738,4761,4763,4764,4774,4819,4821,4869,4999,5000,5017,5041,5098,5099,5105,5106,5108,5110,5119,5122,5123,5131,5144,5145,5151,5172,5173,5191,5196,5197,5198,5199,5203,5211,5214,5221,5276,5281,5282,5287,5293,5324,5334,5339,5349,5366,5368,5375,5376,5378,5389,5407,5409,5410,5417,5424,5425,5437,5438,5439,5440,5442,5443,5448,5449,5450,5451,5482,5483,5484,5492,5493,5494,5495,5539,5544,5546,5582,5584,5585,5587,5588,5590,5591,5593,5602,5607,5609,5610,5611,5613,5615,5616,5617,5618,5619,5620,5629,5639,5642,5653,5669,5670,5673,5683,5686,5687,5688,5715,5725,5740,5741,5750,5751,5753,5755,5760,5795,5800,5802,5861,5897,5898,5912,5918,5921,5922,5923,5924,5943,5947,5948,5957,5979,6011,6030,6031,6035,6036,6038,6063,6064,6065,6069,6070,6086,6097,6098,6131,6132,6136,6157,6160,6163,6185,6186,6214,6217,6226,6235,6237,6246,6250,6258,6259,6260,6261,6293,6310,6363,6400,6402,6403,6426,6427,6434,6438,6439,6442,6456,6472,6493,6494,6499,6510,6513,6526,6546,6552,6554,6569,6570,6573,6574,6576,6578,6579,6580,6582,6584,6590,6596,6597,6599,6600,6606,6608,6650,6656,6671,6675,6676,6677,6711,6716,6718,6723,6724,6734,6738,6752,6775,6776,6778,6779,6790,6796,6815,6818,6839,6859,6872,6873,6874,6880,6894,6913,6915,6917,6919,6924,6930,6932,6946,6951,6952,6989,6990,6991,7005,7006,7008,7009,7028,7030,7045,7073,7097,7108,7110,7112,7114,7115,7147,7148,7149,7153,7154,7161])).
% 164.10/163.70 cnf(12305,plain,
% 164.10/163.70 (~P107(f316(f316(f225(a898),x123051),x123051))),
% 164.10/163.70 inference(rename_variables,[],[4622])).
% 164.10/163.70 cnf(12307,plain,
% 164.10/163.70 (~P107(f316(f316(f225(a898),x123071),f316(f316(f91(a898),x123071),x123072)))),
% 164.10/163.70 inference(scs_inference,[],[3681,4608,4609,4589,10414,10424,10437,10448,10451,10555,10558,10561,10663,10798,11108,11301,11304,11327,11330,11527,11628,11635,11649,11695,11698,11731,11746,11809,11868,11884,12178,12203,12217,12246,3649,3368,4595,10647,10747,11211,3058,3060,3061,3064,3065,3068,3072,3073,3079,3083,3084,3086,3091,3092,3101,3105,3112,3118,3126,3127,3131,3156,3163,3201,3206,3207,3215,3222,3224,3226,3230,3244,4587,4003,11915,3294,11625,3408,10486,10489,10582,10585,10901,11640,11643,11757,11796,11801,3385,3394,3898,4200,3284,3643,3989,11671,3345,3280,3307,3303,3292,3293,3910,3505,11058,3378,4071,4602,10477,10644,3438,11997,4632,11237,11340,11580,11583,3550,3342,3343,10547,10877,3602,3262,3364,11661,4214,4073,11257,11396,11455,4650,11160,11409,11518,11544,11588,11594,4651,11290,11412,11521,4652,11415,4653,11473,4654,3363,3641,3804,4485,4486,4600,3741,3953,3514,10566,10686,10764,10837,10840,10880,10980,11227,11845,12094,12174,3891,11901,3431,3526,11730,4626,10454,10457,10483,10607,10782,10988,11003,11118,11566,11664,11844,12065,12070,12293,4638,11773,11804,11841,11848,11881,3878,3650,4021,3474,3476,3450,4623,4597,3634,4639,4207,11541,3763,3486,12018,4630,10442,10445,10615,10710,10729,10736,10759,10767,10770,10787,10973,11214,11435,11724,11818,11966,12083,4176,4135,4082,11055,4130,3805,11852,4164,3822,10610,10707,11260,11345,11428,4642,11006,11420,3447,10575,10673,10823,10887,10962,11009,11012,11043,11066,11102,11140,11179,11969,12015,12147,12202,12220,12223,12226,12229,3448,10602,10658,10892,10983,11105,11749,12048,12051,12062,12153,12164,12183,12188,12232,12255,3449,3522,4622,10494,10523,11027,11069,11078,11929,11950,12121,12124,12127,12130,12216,12235,12238,12251,12305,3597,10752,10843,11113,11157,11399,11402,11481,11563,11734,4634,11036,11149,11170,11173,11240,11243,11254,11361,11369,11383,11423,11440,11449,11489,11530,11535,11538,11557,11560,11597,11602,11605,11608,11611,11851,11994,12027,12299,3507,10874,10904,10913,10916,10919,3546,3539,3957,3896,10526,11904,11932,4631,10474,10862,10865,11364,11380,11867,11920,11954,11981,12080,12109,12112,12115,12118,3468,10907,11063,11133,11933,12079,3920,4255,4628,3931,3965,4614,4617,3424,3428,4616,4615,3753,4349,4644,10773,10776,4649,11246,11249,11443,11554,11571,4039,11614,11953,3886,11176,11182,11200,3737,11318,3888,10910,11279,11452,11486,3598,3704,10826,10829,10922,11089,4647,11898,4648,10666,4310,4218,3919,3864,4645,10499,10502,10868,10871,11770,4646,11878,3889,10832,11095,4150,4661,4687,4742,4746,4770,4785,4792,4794,4830,4835,4864,4870,4956,4982,4983,4998,5024,5052,5053,5076,5077,5091,5095,5120,5126,5142,5146,5147,5148,5153,5154,5177,5202,5204,5205,5215,5220,5226,5262,5263,5271,5279,5283,5285,5299,5302,5308,5313,5314,5327,5333,5336,5337,5341,5369,5384,5393,5395,5396,5399,5400,5401,5411,5413,5419,5420,5421,5427,5431,5432,5433,5441,5445,5446,5452,5465,5473,5486,5488,5496,5498,5499,5502,5506,5533,5547,5548,5563,5575,5597,5603,5627,5628,5631,5650,5658,5659,5664,5665,5675,5677,5690,5694,5703,5704,5706,5707,5723,5728,5737,5738,5749,5756,5770,5774,5777,5783,5784,5785,5788,5793,5829,5830,5833,5835,5837,5839,5840,5841,5843,5845,5847,5852,5859,5874,5888,5895,5896,5908,5919,5920,5927,5931,5933,5938,5946,5984,5998,6007,6010,6019,6023,6024,6025,6026,6027,6032,6037,6047,6053,6071,6075,6084,6113,6129,6155,6172,6173,6176,6191,6193,6195,6197,6212,6213,6216,6218,6221,6222,6239,6247,6248,6249,6251,6253,6290,6291,6296,6299,6305,6309,6343,6345,6347,6349,6359,6361,6364,6370,6372,6377,6380,6388,6396,6398,6399,6406,6429,6430,6431,6432,6433,6435,6441,6446,6480,6481,6484,6485,6486,6488,6489,6490,6491,6498,6533,6534,6543,6564,6565,6589,6591,6603,6604,6610,6640,6642,6657,6698,6700,6701,6757,6780,6823,6838,6846,6855,6856,6857,6858,6878,6879,6886,6898,6901,6903,6905,6906,6907,6909,6923,6934,6935,6936,6949,7003,7014,7016,7038,7039,7075,7082,7089,7119,7150,7206,7235,7292,7313,7322,7325,7385,7395,7457,7459,7473,7482,7483,7484,7501,7505,7507,7554,7564,7567,7582,7629,7631,7634,7678,7679,7697,7767,7785,7809,7833,7845,7859,7870,7881,7882,7908,7910,7912,7923,7963,7974,7999,8026,8058,8089,8123,8162,8178,8180,8196,8197,8263,8274,8339,8363,8383,8410,8449,8450,8467,8507,8509,8511,8517,8532,8536,8551,8572,8580,8582,8592,8597,8601,8602,8603,8604,8605,8606,8625,8639,8640,8658,8660,8664,8665,8666,8667,8668,8688,8689,8690,8700,8713,8716,8728,8733,8735,8737,8738,8739,8746,8747,8753,8761,8764,8781,8782,8784,8792,8793,8801,8820,8833,8837,8858,8880,8881,8884,8885,8891,8900,8901,8924,8935,8945,8946,8947,8950,8973,8974,8985,9034,9040,9046,9048,9064,9067,9078,9079,9080,9091,9155,9186,9187,9188,9203,9220,9228,9256,9257,9326,9359,9365,9375,9376,9377,9386,9416,9432,9436,9440,9462,9463,9490,9552,9557,9560,9597,9598,9599,9627,9628,9644,9665,9671,9683,9708,9729,9738,9739,9740,9741,9756,9758,9763,9793,9794,9800,9801,9847,9848,9859,9860,9884,9903,9905,9906,9914,9919,9926,9950,9985,9987,9991,10041,10077,10087,10089,10093,10094,10096,10105,10106,10126,10131,10225,10318,10319,10320,10321,10380,10398,2,8,9,4674,4675,4693,4735,4736,4738,4761,4763,4764,4774,4819,4821,4869,4999,5000,5017,5041,5098,5099,5105,5106,5108,5110,5119,5122,5123,5131,5144,5145,5151,5172,5173,5191,5196,5197,5198,5199,5203,5211,5214,5221,5276,5281,5282,5287,5293,5324,5334,5339,5349,5366,5368,5375,5376,5378,5389,5407,5409,5410,5417,5424,5425,5437,5438,5439,5440,5442,5443,5448,5449,5450,5451,5482,5483,5484,5492,5493,5494,5495,5539,5544,5546,5582,5584,5585,5587,5588,5590,5591,5593,5602,5607,5609,5610,5611,5613,5615,5616,5617,5618,5619,5620,5629,5639,5642,5653,5669,5670,5673,5683,5686,5687,5688,5715,5725,5740,5741,5750,5751,5753,5755,5760,5795,5800,5802,5861,5897,5898,5912,5918,5921,5922,5923,5924,5943,5947,5948,5957,5979,6011,6030,6031,6035,6036,6038,6063,6064,6065,6069,6070,6086,6097,6098,6131,6132,6136,6157,6160,6163,6185,6186,6214,6217,6226,6235,6237,6246,6250,6258,6259,6260,6261,6293,6310,6363,6400,6402,6403,6426,6427,6434,6438,6439,6442,6456,6472,6493,6494,6499,6510,6513,6526,6546,6552,6554,6569,6570,6573,6574,6576,6578,6579,6580,6582,6584,6590,6596,6597,6599,6600,6606,6608,6650,6656,6671,6675,6676,6677,6711,6716,6718,6723,6724,6734,6738,6752,6775,6776,6778,6779,6790,6796,6815,6818,6839,6859,6872,6873,6874,6880,6894,6913,6915,6917,6919,6924,6930,6932,6946,6951,6952,6989,6990,6991,7005,7006,7008,7009,7028,7030,7045,7073,7097,7108,7110,7112,7114,7115,7147,7148,7149,7153,7154,7161,7162])).
% 164.10/163.70 cnf(12308,plain,
% 164.10/163.70 (~P107(f316(f316(f225(a898),x123081),x123081))),
% 164.10/163.70 inference(rename_variables,[],[4622])).
% 164.10/163.70 cnf(12311,plain,
% 164.10/163.70 (~P107(f316(f316(f225(a898),x123111),x123111))),
% 164.10/163.70 inference(rename_variables,[],[4622])).
% 164.10/163.70 cnf(12314,plain,
% 164.10/163.70 (~P107(f316(f316(f225(a898),x123141),x123141))),
% 164.10/163.70 inference(rename_variables,[],[4622])).
% 164.10/163.70 cnf(12317,plain,
% 164.10/163.70 (P107(f316(f316(f225(a898),x123171),f316(a102,x123171)))),
% 164.10/163.70 inference(rename_variables,[],[3514])).
% 164.10/163.70 cnf(12324,plain,
% 164.10/163.70 (P107(f316(f316(f318(f905(x123241,a895)),x123242),f316(f297(x123241),x123242)))),
% 164.10/163.70 inference(rename_variables,[],[3805])).
% 164.10/163.70 cnf(12329,plain,
% 164.10/163.70 (P107(f316(f316(f224(f905(x123291,a895)),x123292),f316(f316(f298(x123291),x123293),x123292)))),
% 164.10/163.70 inference(rename_variables,[],[3886])).
% 164.10/163.70 cnf(12336,plain,
% 164.10/163.70 (~P107(f316(f316(f318(x123361),x123362),f178(f905(x123361,a895))))),
% 164.10/163.70 inference(rename_variables,[],[4634])).
% 164.10/163.70 cnf(12345,plain,
% 164.10/163.70 (P107(f316(f316(f224(f905(x123451,a895)),x123452),f231(f905(x123451,a895))))),
% 164.10/163.70 inference(rename_variables,[],[3822])).
% 164.10/163.70 cnf(12346,plain,
% 164.10/163.70 (~E(f316(a102,x123461),x123461)),
% 164.10/163.70 inference(rename_variables,[],[4589])).
% 164.10/163.70 cnf(12349,plain,
% 164.10/163.70 (P107(f316(f316(f224(f905(x123491,a895)),f316(f162(x123491),f316(f126(x123491,x123492),x123493))),f316(f162(x123491),x123493)))),
% 164.10/163.70 inference(rename_variables,[],[4082])).
% 164.10/163.70 cnf(12355,plain,
% 164.10/163.70 (P107(f316(f316(f225(a898),x123551),f316(a102,x123551)))),
% 164.10/163.70 inference(rename_variables,[],[3514])).
% 164.10/163.70 cnf(12363,plain,
% 164.10/163.70 (~P107(f316(f316(f318(f904(x123631,x123631)),x123632),f143(x123631,f103(f905(x123631,a898)))))),
% 164.10/163.70 inference(scs_inference,[],[3681,4608,4609,4589,10414,10424,10437,10448,10451,10555,10558,10561,10663,10798,11108,11301,11304,11327,11330,11527,11628,11635,11649,11695,11698,11731,11746,11809,11868,11884,12178,12203,12217,12246,12252,3649,3368,4595,10647,10747,11211,3058,3060,3061,3064,3065,3067,3068,3072,3073,3079,3083,3084,3086,3091,3092,3101,3105,3112,3118,3126,3127,3131,3156,3163,3201,3206,3207,3215,3222,3224,3226,3230,3244,4587,4003,11915,3294,11625,3408,10486,10489,10582,10585,10901,11640,11643,11757,11796,11801,11910,3385,3394,3898,4200,3284,3643,3989,11671,3345,3280,3307,3303,3292,3293,3910,3505,11058,3378,4071,4602,10477,10644,3438,11997,4632,11237,11340,11580,11583,3550,3342,3343,10547,10877,3602,3262,3364,11661,4214,4073,11257,11396,11455,4650,11160,11409,11518,11544,11588,11594,4651,11290,11412,11521,4652,11415,4653,11473,4654,3363,3641,3804,4485,4486,4600,3741,3953,3627,3881,3514,10566,10686,10764,10837,10840,10880,10980,11227,11845,12094,12174,12239,12317,3891,11901,3431,3526,11730,3703,4626,10454,10457,10483,10607,10782,10988,11003,11118,11566,11664,11844,12065,12070,12293,4638,11773,11804,11841,11848,11881,3878,3650,4021,3474,3476,3450,4623,4597,3634,4639,4207,11541,3763,3486,12018,4630,10442,10445,10615,10710,10729,10736,10759,10767,10770,10787,10973,11214,11435,11724,11818,11966,12083,4176,4135,4082,11055,4130,3805,11852,12177,4164,3822,10610,10707,11260,11345,11428,11492,4642,11006,11420,3447,10575,10673,10823,10887,10962,11009,11012,11043,11066,11102,11140,11179,11969,12015,12147,12202,12220,12223,12226,12229,3448,10602,10658,10892,10983,11105,11749,12048,12051,12062,12153,12164,12183,12188,12232,12255,3449,3522,4622,10494,10523,11027,11069,11078,11929,11950,12121,12124,12127,12130,12216,12235,12238,12251,12305,12308,12311,3597,10752,10843,11113,11157,11399,11402,11481,11563,11734,4634,11036,11149,11170,11173,11240,11243,11254,11361,11369,11383,11423,11440,11449,11489,11530,11535,11538,11557,11560,11597,11602,11605,11608,11611,11851,11994,12027,12299,12302,3507,10874,10904,10913,10916,10919,3546,3539,3957,3896,10526,11904,11932,4631,10474,10862,10865,11364,11380,11867,11920,11954,11981,12080,12109,12112,12115,12118,3468,10907,11063,11133,11933,12079,3920,4255,4628,3931,3965,4614,4617,3424,3428,4616,4615,3753,4349,4644,10773,10776,4649,11246,11249,11443,11554,11571,4039,11614,11953,3886,11176,11182,11200,12199,3737,11318,3888,10910,11279,11452,11486,3598,3704,10826,10829,10922,11089,4647,11898,4648,10666,4310,4218,3919,3864,4645,10499,10502,10868,10871,11770,4646,11878,3889,10832,11095,4150,4661,4687,4742,4746,4770,4785,4792,4794,4830,4835,4864,4870,4956,4982,4983,4998,5024,5052,5053,5076,5077,5091,5095,5120,5126,5142,5146,5147,5148,5153,5154,5177,5202,5204,5205,5215,5220,5226,5262,5263,5271,5279,5283,5285,5299,5302,5308,5313,5314,5327,5333,5336,5337,5341,5369,5384,5393,5395,5396,5399,5400,5401,5411,5413,5419,5420,5421,5427,5431,5432,5433,5441,5445,5446,5452,5465,5473,5486,5488,5496,5498,5499,5502,5506,5533,5547,5548,5563,5575,5597,5603,5627,5628,5631,5650,5658,5659,5664,5665,5675,5677,5690,5694,5703,5704,5706,5707,5723,5728,5737,5738,5749,5756,5770,5774,5777,5783,5784,5785,5788,5793,5829,5830,5833,5835,5837,5839,5840,5841,5843,5845,5847,5852,5859,5874,5888,5895,5896,5908,5919,5920,5927,5931,5933,5938,5946,5984,5998,6007,6010,6019,6023,6024,6025,6026,6027,6032,6037,6047,6053,6071,6075,6084,6113,6129,6155,6172,6173,6176,6191,6193,6195,6197,6212,6213,6216,6218,6221,6222,6239,6247,6248,6249,6251,6253,6290,6291,6296,6299,6305,6309,6343,6345,6347,6349,6359,6361,6364,6370,6372,6377,6380,6388,6396,6398,6399,6406,6429,6430,6431,6432,6433,6435,6441,6446,6480,6481,6484,6485,6486,6488,6489,6490,6491,6498,6533,6534,6543,6564,6565,6589,6591,6603,6604,6610,6640,6642,6657,6698,6700,6701,6757,6780,6823,6838,6846,6855,6856,6857,6858,6878,6879,6886,6898,6901,6903,6905,6906,6907,6909,6923,6934,6935,6936,6949,7003,7014,7016,7038,7039,7075,7082,7089,7119,7150,7206,7235,7292,7313,7322,7325,7385,7395,7457,7459,7473,7482,7483,7484,7501,7505,7507,7554,7564,7567,7582,7629,7631,7634,7678,7679,7697,7767,7785,7809,7833,7845,7859,7870,7881,7882,7908,7910,7912,7923,7963,7974,7999,8026,8058,8089,8123,8162,8178,8180,8196,8197,8263,8274,8339,8363,8383,8410,8449,8450,8467,8507,8509,8511,8517,8532,8536,8551,8572,8580,8582,8592,8597,8601,8602,8603,8604,8605,8606,8625,8639,8640,8658,8660,8664,8665,8666,8667,8668,8688,8689,8690,8700,8713,8716,8728,8733,8735,8737,8738,8739,8746,8747,8753,8761,8764,8781,8782,8784,8792,8793,8801,8820,8833,8837,8858,8880,8881,8884,8885,8891,8900,8901,8924,8935,8945,8946,8947,8950,8973,8974,8985,9034,9040,9046,9048,9064,9067,9078,9079,9080,9091,9155,9186,9187,9188,9203,9220,9228,9256,9257,9326,9359,9365,9375,9376,9377,9386,9416,9432,9436,9440,9462,9463,9490,9552,9557,9560,9597,9598,9599,9627,9628,9644,9665,9671,9683,9708,9729,9738,9739,9740,9741,9756,9758,9763,9793,9794,9800,9801,9847,9848,9859,9860,9884,9903,9905,9906,9914,9919,9926,9950,9985,9987,9991,10041,10077,10087,10089,10093,10094,10096,10105,10106,10126,10131,10225,10318,10319,10320,10321,10380,10398,2,8,9,4674,4675,4693,4735,4736,4738,4761,4763,4764,4774,4819,4821,4869,4999,5000,5017,5041,5098,5099,5105,5106,5108,5110,5119,5122,5123,5131,5144,5145,5151,5172,5173,5191,5196,5197,5198,5199,5203,5211,5214,5221,5276,5281,5282,5287,5293,5324,5334,5339,5349,5366,5368,5375,5376,5378,5389,5407,5409,5410,5417,5424,5425,5437,5438,5439,5440,5442,5443,5448,5449,5450,5451,5482,5483,5484,5492,5493,5494,5495,5539,5544,5546,5582,5584,5585,5587,5588,5590,5591,5593,5602,5607,5609,5610,5611,5613,5615,5616,5617,5618,5619,5620,5629,5639,5642,5653,5669,5670,5673,5683,5686,5687,5688,5715,5725,5740,5741,5750,5751,5753,5755,5760,5795,5800,5802,5861,5897,5898,5912,5918,5921,5922,5923,5924,5943,5947,5948,5957,5979,6011,6030,6031,6035,6036,6038,6063,6064,6065,6069,6070,6086,6097,6098,6131,6132,6136,6157,6160,6163,6185,6186,6214,6217,6226,6235,6237,6246,6250,6258,6259,6260,6261,6293,6310,6363,6400,6402,6403,6426,6427,6434,6438,6439,6442,6456,6472,6493,6494,6499,6510,6513,6526,6546,6552,6554,6569,6570,6573,6574,6576,6578,6579,6580,6582,6584,6590,6596,6597,6599,6600,6606,6608,6650,6656,6671,6675,6676,6677,6711,6716,6718,6723,6724,6734,6738,6752,6775,6776,6778,6779,6790,6796,6815,6818,6839,6859,6872,6873,6874,6880,6894,6913,6915,6917,6919,6924,6930,6932,6946,6951,6952,6989,6990,6991,7005,7006,7008,7009,7028,7030,7045,7073,7097,7108,7110,7112,7114,7115,7147,7148,7149,7153,7154,7161,7162,7164,7166,7188,7197,7198,7209,7219,7259,7269,7275,7282,7293,7298,7300,7307,7316,7329,7346,7367,7369,7388])).
% 164.10/163.70 cnf(12364,plain,
% 164.10/163.70 (E(f316(f273(x123641,x123641),f252(x123641,x123642)),x123642)),
% 164.10/163.70 inference(rename_variables,[],[3408])).
% 164.10/163.70 cnf(12375,plain,
% 164.10/163.70 (~P107(f316(f316(f224(a898),f316(a102,x123751)),x123751))),
% 164.10/163.70 inference(rename_variables,[],[4631])).
% 164.10/163.70 cnf(12376,plain,
% 164.10/163.70 (~P107(f316(f316(f225(a898),x123761),f2(a898)))),
% 164.10/163.70 inference(rename_variables,[],[4626])).
% 164.10/163.70 cnf(12381,plain,
% 164.10/163.70 (P107(f316(f54(x123811),f178(f905(x123811,a895))))),
% 164.10/163.70 inference(rename_variables,[],[3522])).
% 164.10/163.70 cnf(12382,plain,
% 164.10/163.70 (~P107(f316(f316(f318(x123821),x123822),f178(f905(x123821,a895))))),
% 164.10/163.70 inference(rename_variables,[],[4634])).
% 164.10/163.70 cnf(12389,plain,
% 164.10/163.70 (P107(f316(f316(f224(f905(x123891,a895)),f316(f162(x123891),f166(x123891,x123892,x123893))),f316(f162(x123891),x123892)))),
% 164.10/163.70 inference(rename_variables,[],[4130])).
% 164.10/163.70 cnf(12392,plain,
% 164.10/163.70 (P22(x123921,x123921,f5(x123921),x123922)),
% 164.10/163.70 inference(rename_variables,[],[3681])).
% 164.10/163.70 cnf(12397,plain,
% 164.10/163.70 (P107(f316(f316(f318(f905(x123971,a895)),x123972),f316(f297(x123971),x123972)))),
% 164.10/163.70 inference(rename_variables,[],[3805])).
% 164.10/163.70 cnf(12404,plain,
% 164.10/163.70 (P107(f316(f316(f224(a898),x124041),x124041))),
% 164.10/163.70 inference(rename_variables,[],[3447])).
% 164.10/163.70 cnf(12407,plain,
% 164.10/163.70 (~P107(f316(f316(f318(x124071),x124072),f178(f905(x124071,a895))))),
% 164.10/163.70 inference(rename_variables,[],[4634])).
% 164.10/163.70 cnf(12410,plain,
% 164.10/163.70 (P107(f316(f316(f224(f905(x124101,a895)),x124102),f316(f316(f298(x124101),x124103),x124102)))),
% 164.10/163.70 inference(rename_variables,[],[3886])).
% 164.10/163.70 cnf(12411,plain,
% 164.10/163.70 (P107(f316(f316(f224(f905(x124111,a895)),x124112),f231(f905(x124111,a895))))),
% 164.10/163.70 inference(rename_variables,[],[3822])).
% 164.10/163.70 cnf(12418,plain,
% 164.10/163.70 (P107(f316(f316(f224(a898),x124181),x124181))),
% 164.10/163.70 inference(rename_variables,[],[3447])).
% 164.10/163.70 cnf(12421,plain,
% 164.10/163.70 (P107(f316(f316(f224(a898),x124211),x124211))),
% 164.10/163.70 inference(rename_variables,[],[3447])).
% 164.10/163.70 cnf(12424,plain,
% 164.10/163.70 (P107(f316(f316(f224(a898),x124241),x124241))),
% 164.10/163.70 inference(rename_variables,[],[3447])).
% 164.10/163.70 cnf(12427,plain,
% 164.10/163.70 (P107(f316(f316(f224(a898),x124271),x124271))),
% 164.10/163.70 inference(rename_variables,[],[3447])).
% 164.10/163.70 cnf(12430,plain,
% 164.10/163.70 (P107(f316(f316(f225(a898),x124301),f316(a102,x124301)))),
% 164.10/163.70 inference(rename_variables,[],[3514])).
% 164.10/163.70 cnf(12433,plain,
% 164.10/163.70 (P107(f316(f316(f225(a898),x124331),f316(a102,x124331)))),
% 164.10/163.70 inference(rename_variables,[],[3514])).
% 164.10/163.70 cnf(12436,plain,
% 164.10/163.70 (P107(f316(f316(f276(a898),x124361),x124361))),
% 164.10/163.70 inference(rename_variables,[],[3449])).
% 164.10/163.70 cnf(12439,plain,
% 164.10/163.70 (P107(f316(f316(f276(a898),x124391),x124391))),
% 164.10/163.70 inference(rename_variables,[],[3449])).
% 164.10/163.70 cnf(12442,plain,
% 164.10/163.70 (P107(f316(f316(f224(f905(x124421,a895)),x124422),x124422))),
% 164.10/163.70 inference(rename_variables,[],[3737])).
% 164.10/163.70 cnf(12444,plain,
% 164.10/163.70 (~P107(f316(f316(f224(a1),f316(f316(f23(a1),a77),a87)),f2(a1)))),
% 164.10/163.70 inference(scs_inference,[],[3681,11335,4608,4609,4589,10414,10424,10437,10448,10451,10555,10558,10561,10663,10798,11108,11301,11304,11327,11330,11527,11628,11635,11649,11695,11698,11731,11746,11809,11868,11884,12178,12203,12217,12246,12252,3649,3368,4595,10647,10747,11211,3058,3060,3061,3064,3065,3067,3068,3071,3072,3073,3079,3083,3084,3086,3091,3092,3101,3105,3112,3118,3123,3126,3127,3131,3156,3163,3201,3206,3207,3215,3222,3224,3226,3230,3244,4587,4003,11915,3294,11625,3408,10486,10489,10582,10585,10901,11640,11643,11757,11796,11801,11910,3385,3394,3898,4200,3284,3643,3989,11671,3345,3280,3307,3303,3292,3293,3910,3505,11058,3378,4071,4602,10477,10644,3438,11997,4632,11237,11340,11580,11583,3550,3342,3343,10547,10877,3602,3262,3364,11661,4214,4073,11257,11396,11455,4650,11160,11409,11518,11544,11588,11594,4651,11290,11412,11521,4652,11415,4653,11473,4654,3363,3641,3804,4485,4486,4600,3741,3953,3627,3881,3514,10566,10686,10764,10837,10840,10880,10980,11227,11845,12094,12174,12239,12317,12355,12430,3891,11901,3431,3526,11730,3703,4626,10454,10457,10483,10607,10782,10988,11003,11118,11566,11664,11844,12065,12070,12293,12296,4638,11773,11804,11841,11848,11881,3878,3650,4021,3474,3476,3450,4623,4597,3634,4639,4207,11541,3763,3486,12018,12021,4630,10442,10445,10615,10710,10729,10736,10759,10767,10770,10787,10973,11214,11435,11724,11818,11966,12083,4176,4135,4082,11055,4130,11263,3805,11852,12177,12324,4164,3822,10610,10707,11260,11345,11428,11492,12345,4642,11006,11420,3447,10575,10673,10823,10887,10962,11009,11012,11043,11066,11102,11140,11179,11969,12015,12147,12202,12220,12223,12226,12229,12404,12418,12421,12424,3448,10602,10658,10892,10983,11105,11749,12048,12051,12062,12153,12164,12183,12188,12232,12255,3449,12436,3522,12381,4622,10494,10523,11027,11069,11078,11929,11950,12121,12124,12127,12130,12216,12235,12238,12251,12305,12308,12311,3597,10752,10843,11113,11157,11399,11402,11481,11563,11734,4634,11036,11149,11170,11173,11240,11243,11254,11361,11369,11383,11423,11440,11449,11489,11530,11535,11538,11557,11560,11597,11602,11605,11608,11611,11851,11994,12027,12299,12302,12336,12382,3507,10874,10904,10913,10916,10919,3546,3539,3957,3896,10526,11904,11932,4631,10474,10862,10865,11364,11380,11867,11920,11954,11981,12080,12109,12112,12115,12118,3468,10907,11063,11133,11933,12079,3920,4255,4628,3931,3965,4614,4617,3424,3428,4616,4615,3753,4349,4644,10773,10776,4649,11246,11249,11443,11554,11571,4039,11614,11953,3886,11176,11182,11200,12199,12329,3737,11318,11446,3888,10910,11279,11452,11486,3598,3704,10826,10829,10922,11089,4647,11898,4648,10666,4310,4218,3919,3864,4645,10499,10502,10868,10871,11770,4646,11878,3889,10832,11095,4150,4661,4687,4742,4746,4770,4785,4792,4794,4830,4835,4864,4870,4956,4982,4983,4998,5024,5052,5053,5076,5077,5091,5095,5120,5126,5142,5146,5147,5148,5153,5154,5177,5202,5204,5205,5215,5220,5226,5262,5263,5271,5279,5283,5285,5299,5302,5308,5313,5314,5327,5333,5336,5337,5341,5369,5384,5393,5395,5396,5399,5400,5401,5411,5413,5419,5420,5421,5427,5431,5432,5433,5441,5445,5446,5452,5465,5473,5486,5488,5496,5498,5499,5502,5506,5533,5547,5548,5563,5575,5597,5603,5627,5628,5631,5650,5658,5659,5664,5665,5675,5677,5690,5694,5703,5704,5706,5707,5723,5728,5737,5738,5749,5756,5770,5774,5777,5783,5784,5785,5788,5793,5829,5830,5833,5835,5837,5839,5840,5841,5843,5845,5847,5852,5859,5874,5888,5895,5896,5908,5919,5920,5927,5931,5933,5938,5946,5984,5998,6007,6010,6019,6023,6024,6025,6026,6027,6032,6037,6047,6053,6071,6075,6084,6113,6129,6155,6172,6173,6176,6191,6193,6195,6197,6212,6213,6216,6218,6221,6222,6239,6247,6248,6249,6251,6253,6290,6291,6296,6299,6305,6309,6343,6345,6347,6349,6359,6361,6364,6370,6372,6377,6380,6388,6396,6398,6399,6406,6429,6430,6431,6432,6433,6435,6441,6446,6480,6481,6484,6485,6486,6488,6489,6490,6491,6498,6533,6534,6543,6564,6565,6589,6591,6603,6604,6610,6640,6642,6657,6698,6700,6701,6757,6780,6823,6838,6846,6855,6856,6857,6858,6878,6879,6886,6898,6901,6903,6905,6906,6907,6909,6923,6934,6935,6936,6949,7003,7014,7016,7038,7039,7075,7082,7089,7119,7150,7206,7235,7292,7313,7322,7325,7385,7395,7457,7459,7473,7482,7483,7484,7501,7505,7507,7554,7564,7567,7582,7629,7631,7634,7678,7679,7697,7767,7785,7809,7833,7845,7859,7870,7881,7882,7908,7910,7912,7923,7963,7974,7999,8026,8058,8089,8123,8162,8178,8180,8196,8197,8263,8274,8339,8363,8383,8410,8449,8450,8467,8507,8509,8511,8517,8532,8536,8551,8572,8580,8582,8592,8597,8601,8602,8603,8604,8605,8606,8625,8639,8640,8658,8660,8664,8665,8666,8667,8668,8688,8689,8690,8700,8713,8716,8728,8733,8735,8737,8738,8739,8746,8747,8753,8761,8764,8781,8782,8784,8792,8793,8801,8820,8833,8837,8858,8880,8881,8884,8885,8891,8900,8901,8924,8935,8945,8946,8947,8950,8973,8974,8985,9034,9040,9046,9048,9064,9067,9078,9079,9080,9091,9155,9186,9187,9188,9203,9220,9228,9256,9257,9326,9359,9365,9375,9376,9377,9386,9416,9432,9436,9440,9462,9463,9490,9552,9557,9560,9597,9598,9599,9627,9628,9644,9665,9671,9683,9708,9729,9738,9739,9740,9741,9756,9758,9763,9793,9794,9800,9801,9847,9848,9859,9860,9884,9903,9905,9906,9914,9919,9926,9950,9985,9987,9991,10041,10077,10087,10089,10093,10094,10096,10105,10106,10126,10131,10225,10318,10319,10320,10321,10380,10398,2,8,9,4674,4675,4693,4735,4736,4738,4761,4763,4764,4774,4819,4821,4869,4999,5000,5017,5041,5098,5099,5105,5106,5108,5110,5119,5122,5123,5131,5144,5145,5151,5172,5173,5191,5196,5197,5198,5199,5203,5211,5214,5221,5276,5281,5282,5287,5293,5324,5334,5339,5349,5366,5368,5375,5376,5378,5389,5407,5409,5410,5417,5424,5425,5437,5438,5439,5440,5442,5443,5448,5449,5450,5451,5482,5483,5484,5492,5493,5494,5495,5539,5544,5546,5582,5584,5585,5587,5588,5590,5591,5593,5602,5607,5609,5610,5611,5613,5615,5616,5617,5618,5619,5620,5629,5639,5642,5653,5669,5670,5673,5683,5686,5687,5688,5715,5725,5740,5741,5750,5751,5753,5755,5760,5795,5800,5802,5861,5897,5898,5912,5918,5921,5922,5923,5924,5943,5947,5948,5957,5979,6011,6030,6031,6035,6036,6038,6063,6064,6065,6069,6070,6086,6097,6098,6131,6132,6136,6157,6160,6163,6185,6186,6214,6217,6226,6235,6237,6246,6250,6258,6259,6260,6261,6293,6310,6363,6400,6402,6403,6426,6427,6434,6438,6439,6442,6456,6472,6493,6494,6499,6510,6513,6526,6546,6552,6554,6569,6570,6573,6574,6576,6578,6579,6580,6582,6584,6590,6596,6597,6599,6600,6606,6608,6650,6656,6671,6675,6676,6677,6711,6716,6718,6723,6724,6734,6738,6752,6775,6776,6778,6779,6790,6796,6815,6818,6839,6859,6872,6873,6874,6880,6894,6913,6915,6917,6919,6924,6930,6932,6946,6951,6952,6989,6990,6991,7005,7006,7008,7009,7028,7030,7045,7073,7097,7108,7110,7112,7114,7115,7147,7148,7149,7153,7154,7161,7162,7164,7166,7188,7197,7198,7209,7219,7259,7269,7275,7282,7293,7298,7300,7307,7316,7329,7346,7367,7369,7388,7442,7443,7444,7446,7448,7452,7453,7458,7522,7550,7565,7581,7612,7616,7637,7662,7680,7683,7684,7694,7714,7716,7718,7720,7721,7722,7723,7724,7749,7775])).
% 164.10/163.70 cnf(12449,plain,
% 164.10/163.70 (P107(f316(f316(f318(f905(x124491,a895)),x124492),f316(f297(x124491),x124492)))),
% 164.10/163.70 inference(rename_variables,[],[3805])).
% 164.10/163.70 cnf(12455,plain,
% 164.10/163.70 (~P107(f316(f316(f225(a1),f316(f316(f74(a1),a77),a77)),f2(a1)))),
% 164.10/163.70 inference(scs_inference,[],[3681,11335,4608,4609,4589,10414,10424,10437,10448,10451,10555,10558,10561,10663,10798,11108,11301,11304,11327,11330,11527,11628,11635,11649,11695,11698,11731,11746,11809,11868,11884,12178,12203,12217,12246,12252,3649,3368,4595,10647,10747,11211,3058,3060,3061,3064,3065,3067,3068,3071,3072,3073,3079,3083,3084,3086,3091,3092,3101,3105,3112,3118,3123,3126,3127,3131,3156,3163,3201,3206,3207,3215,3222,3224,3226,3230,3244,4587,4003,11915,3294,11625,3408,10486,10489,10582,10585,10901,11640,11643,11757,11796,11801,11910,3385,3394,3898,4200,3284,3643,3989,11671,3345,3280,3307,3303,3292,3293,3910,3505,11058,3378,4071,4602,10477,10644,3438,11997,4632,11237,11340,11580,11583,3550,3342,3343,10547,10877,3602,3262,3364,11661,4214,4073,11257,11396,11455,4650,11160,11409,11518,11544,11588,11594,4651,11290,11412,11521,4652,11415,4653,11473,4654,3363,3641,3804,4485,4486,4600,3741,3953,3627,3881,3514,10566,10686,10764,10837,10840,10880,10980,11227,11845,12094,12174,12239,12317,12355,12430,3891,11901,3431,3526,11730,3703,4626,10454,10457,10483,10607,10782,10988,11003,11118,11566,11664,11844,12065,12070,12293,12296,4638,11773,11804,11841,11848,11881,3878,3650,4021,3474,3476,3450,4623,4597,3634,4639,4207,11541,3763,3486,12018,12021,4630,10442,10445,10615,10710,10729,10736,10759,10767,10770,10787,10973,11214,11435,11724,11818,11966,12083,4176,4135,4082,11055,4130,11263,3805,11852,12177,12324,12397,4164,3822,10610,10707,11260,11345,11428,11492,12345,4642,11006,11420,3447,10575,10673,10823,10887,10962,11009,11012,11043,11066,11102,11140,11179,11969,12015,12147,12202,12220,12223,12226,12229,12404,12418,12421,12424,3448,10602,10658,10892,10983,11105,11749,12048,12051,12062,12153,12164,12183,12188,12232,12255,3449,12436,3522,12381,4622,10494,10523,11027,11069,11078,11929,11950,12121,12124,12127,12130,12216,12235,12238,12251,12305,12308,12311,3597,10752,10843,11113,11157,11399,11402,11481,11563,11734,4634,11036,11149,11170,11173,11240,11243,11254,11361,11369,11383,11423,11440,11449,11489,11530,11535,11538,11557,11560,11597,11602,11605,11608,11611,11851,11994,12027,12299,12302,12336,12382,3507,10874,10904,10913,10916,10919,3546,3539,3957,3896,10526,11904,11932,4631,10474,10862,10865,11364,11380,11867,11920,11954,11981,12080,12109,12112,12115,12118,3468,10907,11063,11133,11933,12079,3920,4255,4628,3931,3965,4614,4617,3424,3428,4616,4615,3753,4349,4644,10773,10776,4649,11246,11249,11443,11554,11571,4039,11614,11953,3886,11176,11182,11200,12199,12329,3737,11318,11446,3888,10910,11279,11452,11486,3598,3704,10826,10829,10922,11089,4647,11898,4648,10666,4310,4218,3919,3864,4645,10499,10502,10868,10871,11770,4646,11878,3889,10832,11095,4150,4661,4687,4742,4746,4770,4785,4792,4794,4830,4835,4864,4870,4956,4982,4983,4998,5024,5052,5053,5076,5077,5091,5095,5120,5126,5142,5146,5147,5148,5153,5154,5177,5202,5204,5205,5215,5220,5226,5262,5263,5271,5279,5283,5285,5299,5302,5308,5313,5314,5327,5333,5336,5337,5341,5369,5384,5393,5395,5396,5399,5400,5401,5411,5413,5419,5420,5421,5427,5431,5432,5433,5441,5445,5446,5452,5465,5473,5486,5488,5496,5498,5499,5502,5506,5533,5547,5548,5563,5575,5597,5603,5627,5628,5631,5650,5658,5659,5664,5665,5675,5677,5690,5694,5703,5704,5706,5707,5723,5728,5737,5738,5749,5756,5770,5774,5777,5783,5784,5785,5788,5793,5829,5830,5833,5835,5837,5839,5840,5841,5843,5845,5847,5852,5859,5874,5888,5895,5896,5908,5919,5920,5927,5931,5933,5938,5946,5984,5998,6007,6010,6019,6023,6024,6025,6026,6027,6032,6037,6047,6053,6071,6075,6084,6113,6129,6155,6172,6173,6176,6191,6193,6195,6197,6212,6213,6216,6218,6221,6222,6239,6247,6248,6249,6251,6253,6290,6291,6296,6299,6305,6309,6343,6345,6347,6349,6359,6361,6364,6370,6372,6377,6380,6388,6396,6398,6399,6406,6429,6430,6431,6432,6433,6435,6441,6446,6480,6481,6484,6485,6486,6488,6489,6490,6491,6498,6533,6534,6543,6564,6565,6589,6591,6603,6604,6610,6640,6642,6657,6698,6700,6701,6757,6780,6823,6838,6846,6855,6856,6857,6858,6878,6879,6886,6898,6901,6903,6905,6906,6907,6909,6923,6934,6935,6936,6949,7003,7014,7016,7038,7039,7075,7082,7089,7119,7150,7206,7235,7292,7313,7322,7325,7385,7395,7457,7459,7473,7482,7483,7484,7501,7505,7507,7554,7564,7567,7582,7629,7631,7634,7678,7679,7697,7767,7785,7809,7833,7845,7859,7870,7881,7882,7908,7910,7912,7923,7963,7974,7999,8026,8058,8089,8123,8162,8178,8180,8196,8197,8263,8274,8339,8363,8383,8410,8449,8450,8467,8507,8509,8511,8517,8532,8536,8551,8572,8580,8582,8592,8597,8601,8602,8603,8604,8605,8606,8625,8639,8640,8658,8660,8664,8665,8666,8667,8668,8688,8689,8690,8700,8713,8716,8728,8733,8735,8737,8738,8739,8746,8747,8753,8761,8764,8781,8782,8784,8792,8793,8801,8820,8833,8837,8858,8880,8881,8884,8885,8891,8900,8901,8924,8935,8945,8946,8947,8950,8973,8974,8985,9034,9040,9046,9048,9064,9067,9078,9079,9080,9091,9155,9186,9187,9188,9203,9220,9228,9256,9257,9326,9359,9365,9375,9376,9377,9386,9416,9432,9436,9440,9462,9463,9490,9552,9557,9560,9597,9598,9599,9627,9628,9644,9665,9671,9683,9708,9729,9738,9739,9740,9741,9756,9758,9763,9793,9794,9800,9801,9847,9848,9859,9860,9884,9903,9905,9906,9914,9919,9926,9950,9985,9987,9991,10041,10077,10087,10089,10093,10094,10096,10105,10106,10126,10131,10225,10318,10319,10320,10321,10380,10398,2,8,9,4674,4675,4693,4735,4736,4738,4761,4763,4764,4774,4819,4821,4869,4999,5000,5017,5041,5098,5099,5105,5106,5108,5110,5119,5122,5123,5131,5144,5145,5151,5172,5173,5191,5196,5197,5198,5199,5203,5211,5214,5221,5276,5281,5282,5287,5293,5324,5334,5339,5349,5366,5368,5375,5376,5378,5389,5407,5409,5410,5417,5424,5425,5437,5438,5439,5440,5442,5443,5448,5449,5450,5451,5482,5483,5484,5492,5493,5494,5495,5539,5544,5546,5582,5584,5585,5587,5588,5590,5591,5593,5602,5607,5609,5610,5611,5613,5615,5616,5617,5618,5619,5620,5629,5639,5642,5653,5669,5670,5673,5683,5686,5687,5688,5715,5725,5740,5741,5750,5751,5753,5755,5760,5795,5800,5802,5861,5897,5898,5912,5918,5921,5922,5923,5924,5943,5947,5948,5957,5979,6011,6030,6031,6035,6036,6038,6063,6064,6065,6069,6070,6086,6097,6098,6131,6132,6136,6157,6160,6163,6185,6186,6214,6217,6226,6235,6237,6246,6250,6258,6259,6260,6261,6293,6310,6363,6400,6402,6403,6426,6427,6434,6438,6439,6442,6456,6472,6493,6494,6499,6510,6513,6526,6546,6552,6554,6569,6570,6573,6574,6576,6578,6579,6580,6582,6584,6590,6596,6597,6599,6600,6606,6608,6650,6656,6671,6675,6676,6677,6711,6716,6718,6723,6724,6734,6738,6752,6775,6776,6778,6779,6790,6796,6815,6818,6839,6859,6872,6873,6874,6880,6894,6913,6915,6917,6919,6924,6930,6932,6946,6951,6952,6989,6990,6991,7005,7006,7008,7009,7028,7030,7045,7073,7097,7108,7110,7112,7114,7115,7147,7148,7149,7153,7154,7161,7162,7164,7166,7188,7197,7198,7209,7219,7259,7269,7275,7282,7293,7298,7300,7307,7316,7329,7346,7367,7369,7388,7442,7443,7444,7446,7448,7452,7453,7458,7522,7550,7565,7581,7612,7616,7637,7662,7680,7683,7684,7694,7714,7716,7718,7720,7721,7722,7723,7724,7749,7775,7776,7808,7810,7811,7812])).
% 164.10/163.70 cnf(12458,plain,
% 164.10/163.70 (~E(f316(a102,x124581),x124581)),
% 164.10/163.70 inference(rename_variables,[],[4589])).
% 164.10/163.70 cnf(12459,plain,
% 164.10/163.70 (E(f316(f299(x124591,x124591,f5(x124591)),x124592),x124592)),
% 164.10/163.70 inference(rename_variables,[],[3505])).
% 164.10/163.70 cnf(12462,plain,
% 164.10/163.70 (P31(x124621,x124622,f103(x124621),f103(x124621))),
% 164.10/163.70 inference(rename_variables,[],[3690])).
% 164.10/163.70 cnf(12465,plain,
% 164.10/163.70 (P107(f316(f316(f224(f905(x124651,a895)),f316(f162(x124651),f166(x124651,x124652,x124653))),f316(f162(x124651),x124652)))),
% 164.10/163.70 inference(rename_variables,[],[4130])).
% 164.10/163.70 cnf(12466,plain,
% 164.10/163.70 (P107(f316(f54(x124661),f316(f162(x124661),x124662)))),
% 164.10/163.70 inference(rename_variables,[],[3486])).
% 164.10/163.70 cnf(12477,plain,
% 164.10/163.70 (~P107(f316(f316(f225(a898),x124771),x124771))),
% 164.10/163.70 inference(rename_variables,[],[4622])).
% 164.10/163.70 cnf(12480,plain,
% 164.10/163.70 (~P107(f316(f316(f225(a898),x124801),x124801))),
% 164.10/163.70 inference(rename_variables,[],[4622])).
% 164.10/163.70 cnf(12485,plain,
% 164.10/163.70 (P107(f316(f316(f224(a898),f2(a898)),x124851))),
% 164.10/163.70 inference(rename_variables,[],[3468])).
% 164.10/163.70 cnf(12492,plain,
% 164.10/163.70 (P10(a898,f316(f158(a898),f316(f316(f144(f899(x124921),a898),f179(f899(x124921))),f169(x124921,x124922))))),
% 164.10/163.70 inference(rename_variables,[],[3999])).
% 164.10/163.70 cnf(12495,plain,
% 164.10/163.70 (P22(x124951,x124951,f5(x124951),x124952)),
% 164.10/163.70 inference(rename_variables,[],[3681])).
% 164.10/163.70 cnf(12498,plain,
% 164.10/163.70 (P22(x124981,x124981,f5(x124981),x124982)),
% 164.10/163.70 inference(rename_variables,[],[3681])).
% 164.10/163.70 cnf(12501,plain,
% 164.10/163.70 (P107(f316(f316(f318(f899(x125011)),f103(x125011)),f151(x125011,x125012)))),
% 164.10/163.70 inference(rename_variables,[],[3641])).
% 164.10/163.70 cnf(12504,plain,
% 164.10/163.70 (~P107(f316(f316(f178(f905(x125041,f905(x125042,a895))),x125043),x125044))),
% 164.10/163.70 inference(rename_variables,[],[4648])).
% 164.10/163.70 cnf(12509,plain,
% 164.10/163.70 (P107(f316(f316(f224(a898),x125091),x125091))),
% 164.10/163.70 inference(rename_variables,[],[3447])).
% 164.10/163.70 cnf(12510,plain,
% 164.10/163.70 (P107(f316(f316(f224(a898),f2(a898)),x125101))),
% 164.10/163.70 inference(rename_variables,[],[3468])).
% 164.10/163.70 cnf(12512,plain,
% 164.10/163.70 (P107(f316(f316(f224(a1),f2(a1)),f438(x125121,f178(f905(x125122,f905(x125123,a895))),f72(a1))))),
% 164.10/163.70 inference(scs_inference,[],[3681,11335,12392,12495,3690,4608,4609,4607,4589,10414,10424,10437,10448,10451,10555,10558,10561,10663,10798,11108,11301,11304,11327,11330,11527,11628,11635,11649,11695,11698,11731,11746,11809,11868,11884,12178,12203,12217,12246,12252,12346,3649,3368,4595,10647,10747,11211,3058,3060,3061,3064,3065,3067,3068,3071,3072,3073,3079,3083,3084,3086,3091,3092,3101,3105,3112,3118,3123,3126,3127,3131,3156,3163,3201,3206,3207,3215,3222,3224,3226,3230,3244,4587,4003,11915,3294,11625,3408,10486,10489,10582,10585,10901,11640,11643,11757,11796,11801,11910,3385,3394,3898,4200,3284,3643,3989,11671,3345,3280,3307,3303,3292,3293,3910,3327,3505,11058,11185,3378,4071,4602,10477,10644,3438,11997,4632,11237,11340,11580,11583,3550,3342,3343,10547,10877,3602,3262,3364,11661,4214,4073,11257,11396,11455,4650,11160,11409,11518,11544,11588,11594,4651,11290,11412,11521,4652,11415,4653,11473,4654,3363,3641,3804,4485,4486,4600,3741,3953,3999,3627,3881,3514,10566,10686,10764,10837,10840,10880,10980,11227,11845,12094,12174,12239,12317,12355,12430,3891,11901,3431,3526,11730,3703,4626,10454,10457,10483,10607,10782,10988,11003,11118,11566,11664,11844,12065,12070,12293,12296,12376,4638,11773,11804,11841,11848,11881,3878,3650,4021,3474,3476,3450,4623,4597,3634,4639,4207,11541,3763,3486,12018,12021,4630,10442,10445,10615,10710,10729,10736,10759,10767,10770,10787,10973,11214,11435,11724,11818,11966,12083,4176,4135,4082,11055,4130,11263,12389,3805,11852,12177,12324,12397,12449,4164,3822,10610,10707,11260,11345,11428,11492,12345,4642,11006,11420,3447,10575,10673,10823,10887,10962,11009,11012,11043,11066,11102,11140,11179,11969,12015,12147,12202,12220,12223,12226,12229,12404,12418,12421,12424,12427,3448,10602,10658,10892,10983,11105,11749,12048,12051,12062,12153,12164,12183,12188,12232,12255,3449,12436,3522,12381,4622,10494,10523,11027,11069,11078,11929,11950,12121,12124,12127,12130,12216,12235,12238,12251,12305,12308,12311,12314,12477,3597,10752,10843,11113,11157,11399,11402,11481,11563,11734,11980,4634,11036,11149,11170,11173,11240,11243,11254,11361,11369,11383,11423,11440,11449,11489,11530,11535,11538,11557,11560,11597,11602,11605,11608,11611,11851,11994,12027,12299,12302,12336,12382,3507,10874,10904,10913,10916,10919,3546,3539,3957,3896,10526,11904,11932,4631,10474,10862,10865,11364,11380,11867,11920,11954,11981,12080,12109,12112,12115,12118,12375,3468,10907,11063,11133,11933,12079,12277,12485,3920,4255,4628,3931,3965,4614,4617,3424,3428,4616,4615,3753,4349,4644,10773,10776,4649,11246,11249,11443,11554,11571,4039,11614,11953,3886,11176,11182,11200,12199,12329,3737,11318,11446,3888,10910,11279,11452,11486,3598,3704,10826,10829,10922,11089,4647,11898,4648,10666,10779,12504,4310,4218,3919,3864,4645,10499,10502,10868,10871,11770,4646,11878,3889,10832,11095,4150,4661,4687,4742,4746,4770,4785,4792,4794,4830,4835,4864,4870,4956,4982,4983,4998,5024,5052,5053,5076,5077,5091,5095,5120,5126,5142,5146,5147,5148,5153,5154,5177,5202,5204,5205,5215,5220,5226,5262,5263,5271,5279,5283,5285,5299,5302,5308,5313,5314,5327,5333,5336,5337,5341,5369,5384,5393,5395,5396,5399,5400,5401,5411,5413,5419,5420,5421,5427,5431,5432,5433,5441,5445,5446,5452,5465,5473,5486,5488,5496,5498,5499,5502,5506,5533,5547,5548,5563,5575,5597,5603,5627,5628,5631,5650,5658,5659,5664,5665,5675,5677,5690,5694,5703,5704,5706,5707,5723,5728,5737,5738,5749,5756,5770,5774,5777,5783,5784,5785,5788,5793,5829,5830,5833,5835,5837,5839,5840,5841,5843,5845,5847,5852,5859,5874,5888,5895,5896,5908,5919,5920,5927,5931,5933,5938,5946,5984,5998,6007,6010,6019,6023,6024,6025,6026,6027,6032,6037,6047,6053,6071,6075,6084,6113,6129,6155,6172,6173,6176,6191,6193,6195,6197,6212,6213,6216,6218,6221,6222,6239,6247,6248,6249,6251,6253,6290,6291,6296,6299,6305,6309,6343,6345,6347,6349,6359,6361,6364,6370,6372,6377,6380,6388,6396,6398,6399,6406,6429,6430,6431,6432,6433,6435,6441,6446,6480,6481,6484,6485,6486,6488,6489,6490,6491,6498,6533,6534,6543,6564,6565,6589,6591,6603,6604,6610,6640,6642,6657,6698,6700,6701,6757,6780,6823,6838,6846,6855,6856,6857,6858,6878,6879,6886,6898,6901,6903,6905,6906,6907,6909,6923,6934,6935,6936,6949,7003,7014,7016,7038,7039,7075,7082,7089,7119,7150,7206,7235,7292,7313,7322,7325,7385,7395,7457,7459,7473,7482,7483,7484,7501,7505,7507,7554,7564,7567,7582,7629,7631,7634,7678,7679,7697,7767,7785,7809,7833,7845,7859,7870,7881,7882,7908,7910,7912,7923,7963,7974,7999,8026,8058,8089,8123,8162,8178,8180,8196,8197,8263,8274,8339,8363,8383,8410,8449,8450,8467,8507,8509,8511,8517,8532,8536,8551,8572,8580,8582,8592,8597,8601,8602,8603,8604,8605,8606,8625,8639,8640,8658,8660,8664,8665,8666,8667,8668,8688,8689,8690,8700,8713,8716,8728,8733,8735,8737,8738,8739,8746,8747,8753,8761,8764,8781,8782,8784,8792,8793,8801,8820,8833,8837,8858,8880,8881,8884,8885,8891,8900,8901,8924,8935,8945,8946,8947,8950,8973,8974,8985,9034,9040,9046,9048,9064,9067,9078,9079,9080,9091,9155,9186,9187,9188,9203,9220,9228,9256,9257,9326,9359,9365,9375,9376,9377,9386,9416,9432,9436,9440,9462,9463,9490,9552,9557,9560,9597,9598,9599,9627,9628,9644,9665,9671,9683,9708,9729,9738,9739,9740,9741,9756,9758,9763,9793,9794,9800,9801,9847,9848,9859,9860,9884,9903,9905,9906,9914,9919,9926,9950,9985,9987,9991,10041,10077,10087,10089,10093,10094,10096,10105,10106,10126,10131,10225,10318,10319,10320,10321,10380,10398,2,8,9,4674,4675,4693,4735,4736,4738,4761,4763,4764,4774,4819,4821,4869,4999,5000,5017,5041,5098,5099,5105,5106,5108,5110,5119,5122,5123,5131,5144,5145,5151,5172,5173,5191,5196,5197,5198,5199,5203,5211,5214,5221,5276,5281,5282,5287,5293,5324,5334,5339,5349,5366,5368,5375,5376,5378,5389,5407,5409,5410,5417,5424,5425,5437,5438,5439,5440,5442,5443,5448,5449,5450,5451,5482,5483,5484,5492,5493,5494,5495,5539,5544,5546,5582,5584,5585,5587,5588,5590,5591,5593,5602,5607,5609,5610,5611,5613,5615,5616,5617,5618,5619,5620,5629,5639,5642,5653,5669,5670,5673,5683,5686,5687,5688,5715,5725,5740,5741,5750,5751,5753,5755,5760,5795,5800,5802,5861,5897,5898,5912,5918,5921,5922,5923,5924,5943,5947,5948,5957,5979,6011,6030,6031,6035,6036,6038,6063,6064,6065,6069,6070,6086,6097,6098,6131,6132,6136,6157,6160,6163,6185,6186,6214,6217,6226,6235,6237,6246,6250,6258,6259,6260,6261,6293,6310,6363,6400,6402,6403,6426,6427,6434,6438,6439,6442,6456,6472,6493,6494,6499,6510,6513,6526,6546,6552,6554,6569,6570,6573,6574,6576,6578,6579,6580,6582,6584,6590,6596,6597,6599,6600,6606,6608,6650,6656,6671,6675,6676,6677,6711,6716,6718,6723,6724,6734,6738,6752,6775,6776,6778,6779,6790,6796,6815,6818,6839,6859,6872,6873,6874,6880,6894,6913,6915,6917,6919,6924,6930,6932,6946,6951,6952,6989,6990,6991,7005,7006,7008,7009,7028,7030,7045,7073,7097,7108,7110,7112,7114,7115,7147,7148,7149,7153,7154,7161,7162,7164,7166,7188,7197,7198,7209,7219,7259,7269,7275,7282,7293,7298,7300,7307,7316,7329,7346,7367,7369,7388,7442,7443,7444,7446,7448,7452,7453,7458,7522,7550,7565,7581,7612,7616,7637,7662,7680,7683,7684,7694,7714,7716,7718,7720,7721,7722,7723,7724,7749,7775,7776,7808,7810,7811,7812,7818,7839,7856,7861,7867,7869,7877,7889,7890,7892,7913,7921,7942,8012,8013,8014,8061,8067,8068,8092,8093])).
% 164.10/163.70 cnf(12513,plain,
% 164.10/163.70 (~P107(f316(f316(f178(f905(x125131,f905(x125132,a895))),x125133),x125134))),
% 164.10/163.70 inference(rename_variables,[],[4648])).
% 164.10/163.70 cnf(12516,plain,
% 164.10/163.70 (P107(f316(f316(f224(f905(f904(f899(x125161),f899(x125161)),a895)),f148(x125161,x125162)),f296(f899(x125161),f147(x125161,x125162))))),
% 164.10/163.70 inference(rename_variables,[],[4135])).
% 164.10/163.70 cnf(12522,plain,
% 164.10/163.70 (P107(f316(f316(f224(f905(x125221,a895)),f316(f299(x125222,x125221,x125223),f316(f300(x125222,x125221,x125223),x125224))),x125224))),
% 164.10/163.70 inference(rename_variables,[],[4310])).
% 164.10/163.70 cnf(12525,plain,
% 164.10/163.70 (P107(f316(f316(f224(f905(x125251,a895)),f316(f162(x125251),f166(x125251,x125252,x125253))),f316(f162(x125251),x125252)))),
% 164.10/163.70 inference(rename_variables,[],[4130])).
% 164.10/163.70 cnf(12526,plain,
% 164.10/163.70 (P107(f316(f316(f224(f905(x125261,a895)),f316(f162(x125261),f316(f126(x125261,x125262),x125263))),f316(f162(x125261),x125263)))),
% 164.10/163.70 inference(rename_variables,[],[4082])).
% 164.10/163.70 cnf(12529,plain,
% 164.10/163.70 (~P107(f316(f316(f225(f905(x125291,a895)),x125292),f178(f905(x125291,a895))))),
% 164.10/163.70 inference(rename_variables,[],[4642])).
% 164.10/163.70 cnf(12537,plain,
% 164.10/163.70 (P107(f316(f316(f224(f905(x125371,a895)),f316(f299(x125372,x125371,x125373),f316(f300(x125372,x125371,x125373),x125374))),x125374))),
% 164.10/163.70 inference(rename_variables,[],[4310])).
% 164.10/163.70 cnf(12542,plain,
% 164.10/163.70 (P107(f316(f316(f318(f899(x125421)),f103(x125421)),f151(x125421,x125422)))),
% 164.10/163.70 inference(rename_variables,[],[3641])).
% 164.10/163.70 cnf(12545,plain,
% 164.10/163.70 (~P107(f316(f316(f318(f904(f899(x125451),f899(x125451))),f316(f316(f241(f899(x125451),f899(x125451)),x125452),f103(x125451))),f135(x125451,x125453)))),
% 164.10/163.70 inference(rename_variables,[],[4650])).
% 164.10/163.70 cnf(12548,plain,
% 164.10/163.70 (~P107(f316(f316(f225(a898),x125481),f2(a898)))),
% 164.10/163.70 inference(rename_variables,[],[4626])).
% 164.10/163.70 cnf(12550,plain,
% 164.10/163.70 (~P107(f316(f54(x125501),f231(f905(x125501,a895))))),
% 164.10/163.70 inference(scs_inference,[],[3681,11335,12392,12495,3690,3697,3417,4608,4609,3317,3320,4607,4589,10414,10424,10437,10448,10451,10555,10558,10561,10663,10798,11108,11301,11304,11327,11330,11527,11628,11635,11649,11695,11698,11731,11746,11809,11868,11884,12178,12203,12217,12246,12252,12346,3649,3368,4595,10647,10747,11211,3058,3060,3061,3064,3065,3067,3068,3071,3072,3073,3079,3083,3084,3086,3091,3092,3101,3105,3112,3118,3123,3126,3127,3131,3137,3156,3163,3201,3206,3207,3215,3222,3224,3226,3230,3244,4587,4003,11915,3294,11625,3408,10486,10489,10582,10585,10901,11640,11643,11757,11796,11801,11910,3385,3394,3898,4200,3284,3643,3989,11671,3345,3280,3307,3303,3292,3293,3910,3327,3505,11058,11185,3378,4071,4602,10477,10644,3438,11997,4632,11237,11340,11580,11583,3550,3342,3343,10547,10877,3602,3262,3364,11661,4214,4073,11257,11396,11455,4650,11160,11409,11518,11544,11588,11594,4651,11290,11412,11521,4652,11415,4653,11473,4654,3363,3641,12501,12542,3804,4485,4486,4600,3741,3953,3999,3627,3881,3514,10566,10686,10764,10837,10840,10880,10980,11227,11845,12094,12174,12239,12317,12355,12430,3891,11901,3431,3526,11730,3703,4626,10454,10457,10483,10607,10782,10988,11003,11118,11566,11664,11844,12065,12070,12293,12296,12376,4638,11773,11804,11841,11848,11881,3878,3650,4021,3474,3476,3450,4623,4597,3634,4639,4207,11541,3763,3486,12018,12021,4630,10442,10445,10615,10710,10729,10736,10759,10767,10770,10787,10973,11214,11435,11724,11818,11966,12083,4176,4135,12167,12516,4082,11055,12349,4130,11263,12389,12465,3805,11852,12177,12324,12397,12449,4164,3822,10610,10707,11260,11345,11428,11492,12345,4642,11006,11420,3447,10575,10673,10823,10887,10962,11009,11012,11043,11066,11102,11140,11179,11969,12015,12147,12202,12220,12223,12226,12229,12404,12418,12421,12424,12427,3448,10602,10658,10892,10983,11105,11749,12048,12051,12062,12153,12164,12183,12188,12232,12255,3449,12436,3522,12381,4622,10494,10523,11027,11069,11078,11929,11950,12121,12124,12127,12130,12216,12235,12238,12251,12305,12308,12311,12314,12477,3597,10752,10843,11113,11157,11399,11402,11481,11563,11734,11980,4634,11036,11149,11170,11173,11240,11243,11254,11361,11369,11383,11423,11440,11449,11489,11530,11535,11538,11557,11560,11597,11602,11605,11608,11611,11851,11994,12027,12299,12302,12336,12382,3507,10874,10904,10913,10916,10919,3546,3539,3957,3896,10526,11904,11932,4631,10474,10862,10865,11364,11380,11867,11920,11954,11981,12080,12109,12112,12115,12118,12375,3468,10907,11063,11133,11933,12079,12277,12485,3920,4255,4628,3931,3965,4614,4617,3424,3428,4616,4615,3753,4349,4644,10773,10776,4649,11246,11249,11443,11554,11571,4039,11614,11953,3886,11176,11182,11200,12199,12329,3737,11318,11446,12442,3888,10910,11279,11452,11486,3598,3704,10826,10829,10922,11089,4647,11898,4648,10666,10779,12504,4310,11046,12522,4218,3919,3864,4645,10499,10502,10868,10871,11770,4646,11878,3889,10832,11095,4150,4661,4687,4742,4746,4770,4785,4792,4794,4830,4835,4864,4870,4956,4982,4983,4998,5024,5052,5053,5076,5077,5091,5095,5120,5126,5142,5146,5147,5148,5153,5154,5177,5202,5204,5205,5215,5220,5226,5262,5263,5271,5279,5283,5285,5299,5302,5308,5313,5314,5327,5333,5336,5337,5341,5369,5384,5393,5395,5396,5399,5400,5401,5411,5413,5419,5420,5421,5427,5431,5432,5433,5441,5445,5446,5452,5465,5473,5486,5488,5496,5498,5499,5502,5506,5533,5547,5548,5563,5575,5597,5603,5627,5628,5631,5650,5658,5659,5664,5665,5675,5677,5690,5694,5703,5704,5706,5707,5723,5728,5737,5738,5749,5756,5770,5774,5777,5783,5784,5785,5788,5793,5829,5830,5833,5835,5837,5839,5840,5841,5843,5845,5847,5852,5859,5874,5888,5895,5896,5908,5919,5920,5927,5931,5933,5938,5946,5984,5998,6007,6010,6019,6023,6024,6025,6026,6027,6032,6037,6047,6053,6071,6075,6084,6113,6129,6155,6172,6173,6176,6191,6193,6195,6197,6212,6213,6216,6218,6221,6222,6239,6247,6248,6249,6251,6253,6290,6291,6296,6299,6305,6309,6343,6345,6347,6349,6359,6361,6364,6370,6372,6377,6380,6388,6396,6398,6399,6406,6429,6430,6431,6432,6433,6435,6441,6446,6480,6481,6484,6485,6486,6488,6489,6490,6491,6498,6533,6534,6543,6564,6565,6589,6591,6603,6604,6610,6640,6642,6657,6698,6700,6701,6757,6780,6823,6838,6846,6855,6856,6857,6858,6878,6879,6886,6898,6901,6903,6905,6906,6907,6909,6923,6934,6935,6936,6949,7003,7014,7016,7038,7039,7075,7082,7089,7119,7150,7206,7235,7292,7313,7322,7325,7385,7395,7457,7459,7473,7482,7483,7484,7501,7505,7507,7554,7564,7567,7582,7629,7631,7634,7678,7679,7697,7767,7785,7809,7833,7845,7859,7870,7881,7882,7908,7910,7912,7923,7963,7974,7999,8026,8058,8089,8123,8162,8178,8180,8196,8197,8263,8274,8339,8363,8383,8410,8449,8450,8467,8507,8509,8511,8517,8532,8536,8551,8572,8580,8582,8592,8597,8601,8602,8603,8604,8605,8606,8625,8639,8640,8658,8660,8664,8665,8666,8667,8668,8688,8689,8690,8700,8713,8716,8728,8733,8735,8737,8738,8739,8746,8747,8753,8761,8764,8781,8782,8784,8792,8793,8801,8820,8833,8837,8858,8880,8881,8884,8885,8891,8900,8901,8924,8935,8945,8946,8947,8950,8973,8974,8985,9034,9040,9046,9048,9064,9067,9078,9079,9080,9091,9155,9186,9187,9188,9203,9220,9228,9256,9257,9326,9359,9365,9375,9376,9377,9386,9416,9432,9436,9440,9462,9463,9490,9552,9557,9560,9597,9598,9599,9627,9628,9644,9665,9671,9683,9708,9729,9738,9739,9740,9741,9756,9758,9763,9793,9794,9800,9801,9847,9848,9859,9860,9884,9903,9905,9906,9914,9919,9926,9950,9985,9987,9991,10041,10077,10087,10089,10093,10094,10096,10105,10106,10126,10131,10225,10318,10319,10320,10321,10380,10398,2,8,9,4674,4675,4693,4735,4736,4738,4761,4763,4764,4774,4819,4821,4869,4999,5000,5017,5041,5098,5099,5105,5106,5108,5110,5119,5122,5123,5131,5144,5145,5151,5172,5173,5191,5196,5197,5198,5199,5203,5211,5214,5221,5276,5281,5282,5287,5293,5324,5334,5339,5349,5366,5368,5375,5376,5378,5389,5407,5409,5410,5417,5424,5425,5437,5438,5439,5440,5442,5443,5448,5449,5450,5451,5482,5483,5484,5492,5493,5494,5495,5539,5544,5546,5582,5584,5585,5587,5588,5590,5591,5593,5602,5607,5609,5610,5611,5613,5615,5616,5617,5618,5619,5620,5629,5639,5642,5653,5669,5670,5673,5683,5686,5687,5688,5715,5725,5740,5741,5750,5751,5753,5755,5760,5795,5800,5802,5861,5897,5898,5912,5918,5921,5922,5923,5924,5943,5947,5948,5957,5979,6011,6030,6031,6035,6036,6038,6063,6064,6065,6069,6070,6086,6097,6098,6131,6132,6136,6157,6160,6163,6185,6186,6214,6217,6226,6235,6237,6246,6250,6258,6259,6260,6261,6293,6310,6363,6400,6402,6403,6426,6427,6434,6438,6439,6442,6456,6472,6493,6494,6499,6510,6513,6526,6546,6552,6554,6569,6570,6573,6574,6576,6578,6579,6580,6582,6584,6590,6596,6597,6599,6600,6606,6608,6650,6656,6671,6675,6676,6677,6711,6716,6718,6723,6724,6734,6738,6752,6775,6776,6778,6779,6790,6796,6815,6818,6839,6859,6872,6873,6874,6880,6894,6913,6915,6917,6919,6924,6930,6932,6946,6951,6952,6989,6990,6991,7005,7006,7008,7009,7028,7030,7045,7073,7097,7108,7110,7112,7114,7115,7147,7148,7149,7153,7154,7161,7162,7164,7166,7188,7197,7198,7209,7219,7259,7269,7275,7282,7293,7298,7300,7307,7316,7329,7346,7367,7369,7388,7442,7443,7444,7446,7448,7452,7453,7458,7522,7550,7565,7581,7612,7616,7637,7662,7680,7683,7684,7694,7714,7716,7718,7720,7721,7722,7723,7724,7749,7775,7776,7808,7810,7811,7812,7818,7839,7856,7861,7867,7869,7877,7889,7890,7892,7913,7921,7942,8012,8013,8014,8061,8067,8068,8092,8093,8110,8111,8112,8169,8170,8199,8229,8238,8251,8266,8295,8299,8305])).
% 164.10/163.70 cnf(12551,plain,
% 164.10/163.70 (P107(f316(f316(f224(f905(x125511,a895)),x125512),x125512))),
% 164.10/163.70 inference(rename_variables,[],[3737])).
% 164.10/163.70 cnf(12554,plain,
% 164.10/163.70 (~P107(f316(f316(f318(x125541),x125542),f178(f905(x125541,a895))))),
% 164.10/163.70 inference(rename_variables,[],[4634])).
% 164.10/163.70 cnf(12557,plain,
% 164.10/163.70 (~P107(f316(f316(f178(f905(x125571,f905(x125572,a895))),x125573),x125574))),
% 164.10/163.70 inference(rename_variables,[],[4648])).
% 164.10/163.70 cnf(12560,plain,
% 164.10/163.70 (P107(f316(f316(f224(f905(x125601,a895)),f316(f299(x125602,x125601,x125603),f316(f300(x125602,x125601,x125603),x125604))),x125604))),
% 164.10/163.70 inference(rename_variables,[],[4310])).
% 164.10/163.70 cnf(12561,plain,
% 164.10/163.70 (P107(f316(f316(f224(f905(x125611,a895)),x125612),x125612))),
% 164.10/163.70 inference(rename_variables,[],[3737])).
% 164.10/163.70 cnf(12568,plain,
% 164.10/163.70 (E(f316(f273(x125681,x125681),f252(x125681,x125682)),x125682)),
% 164.10/163.70 inference(rename_variables,[],[3408])).
% 164.10/163.70 cnf(12571,plain,
% 164.10/163.70 (P107(f316(f316(f224(f905(x125711,a895)),f316(f162(x125711),f166(x125711,x125712,x125713))),f316(f162(x125711),x125712)))),
% 164.10/163.70 inference(rename_variables,[],[4130])).
% 164.10/163.70 cnf(12572,plain,
% 164.10/163.70 (P107(f316(f54(x125721),f316(f162(x125721),x125722)))),
% 164.10/163.70 inference(rename_variables,[],[3486])).
% 164.10/163.70 cnf(12575,plain,
% 164.10/163.70 (P107(f316(f316(f224(a898),x125751),x125751))),
% 164.10/163.70 inference(rename_variables,[],[3447])).
% 164.10/163.70 cnf(12578,plain,
% 164.10/163.70 (~P107(f316(f316(f225(a898),x125781),x125781))),
% 164.10/163.70 inference(rename_variables,[],[4622])).
% 164.10/163.70 cnf(12581,plain,
% 164.10/163.70 (~P107(f316(f316(f225(a898),x125811),x125811))),
% 164.10/163.70 inference(rename_variables,[],[4622])).
% 164.10/163.70 cnf(12592,plain,
% 164.10/163.70 (P22(x125921,x125921,f5(x125921),x125922)),
% 164.10/163.70 inference(rename_variables,[],[3681])).
% 164.10/163.70 cnf(12600,plain,
% 164.10/163.70 (~P107(f316(f316(f318(x126001),x126002),f178(f905(x126001,a895))))),
% 164.10/163.70 inference(rename_variables,[],[4634])).
% 164.10/163.70 cnf(12603,plain,
% 164.10/163.70 (P107(f316(f316(f318(f904(x126031,x126031)),f316(f316(f241(x126031,x126031),x126032),x126032)),f296(x126031,x126033)))),
% 164.10/163.70 inference(rename_variables,[],[4073])).
% 164.10/163.70 cnf(12606,plain,
% 164.10/163.70 (~P107(f316(f316(f318(x126061),x126062),f178(f905(x126061,a895))))),
% 164.10/163.70 inference(rename_variables,[],[4634])).
% 164.10/163.70 cnf(12609,plain,
% 164.10/163.70 (P107(f316(f316(f318(f904(x126091,x126091)),f316(f316(f241(x126091,x126091),x126092),x126092)),f296(x126091,x126093)))),
% 164.10/163.70 inference(rename_variables,[],[4073])).
% 164.10/163.70 cnf(12619,plain,
% 164.10/163.70 (~E(f316(f316(f141(x126191),x126192),x126193),x126193)),
% 164.10/163.70 inference(rename_variables,[],[4602])).
% 164.10/163.70 cnf(12621,plain,
% 164.10/163.70 (~P23(a898,a898,x126211,f231(f905(a898,a895)),f295(a898,x126212,x126213))),
% 164.10/163.70 inference(scs_inference,[],[3681,11335,12392,12495,12498,3690,3697,3417,4608,4609,3317,3320,4607,4589,10414,10424,10437,10448,10451,10555,10558,10561,10663,10798,11108,11301,11304,11327,11330,11527,11628,11635,11649,11695,11698,11731,11746,11809,11868,11884,12178,12203,12217,12246,12252,12346,3649,12150,3368,4595,10647,10747,11211,3058,3060,3061,3064,3065,3067,3068,3071,3072,3073,3079,3083,3084,3086,3091,3092,3101,3104,3105,3112,3118,3123,3126,3127,3131,3137,3156,3163,3201,3206,3207,3215,3222,3224,3226,3230,3244,4587,4003,11915,3294,11625,3408,10486,10489,10582,10585,10901,11640,11643,11757,11796,11801,11910,12364,3385,3394,3898,4200,3284,3643,3989,11671,3345,3280,3307,3758,3303,3292,3293,3910,3327,3505,11058,11185,3378,4071,4602,10477,10644,11524,3438,11997,4632,11237,11340,11580,11583,3550,4611,3342,3343,10547,10877,3602,3262,3364,11661,4214,4073,11257,11396,11455,12603,4650,11160,11409,11518,11544,11588,11594,12545,4651,11290,11412,11521,4652,11415,4653,11473,4654,3363,3641,12501,12542,3804,3590,4485,4486,4600,11654,3741,3953,3999,3627,3881,3514,10566,10686,10764,10837,10840,10880,10980,11227,11845,12094,12174,12239,12317,12355,12430,12433,3891,11901,3431,3526,11730,3703,4626,10454,10457,10483,10607,10782,10988,11003,11118,11566,11664,11844,12065,12070,12293,12296,12376,12548,4638,11773,11804,11841,11848,11881,3878,3650,4021,3474,3476,3450,4623,4597,3634,4639,4207,11541,3763,3486,12018,12021,12466,4630,10442,10445,10615,10710,10729,10736,10759,10767,10770,10787,10973,11214,11435,11724,11818,11966,12083,4176,4135,12167,12516,4082,11055,12349,4130,11263,12389,12465,12525,12571,3805,11852,12177,12324,12397,12449,4164,3822,10610,10707,11260,11345,11428,11492,12345,12411,4642,11006,11420,3447,10575,10673,10823,10887,10962,11009,11012,11043,11066,11102,11140,11179,11969,12015,12147,12202,12220,12223,12226,12229,12404,12418,12421,12424,12427,12509,3448,10602,10658,10892,10983,11105,11749,12048,12051,12062,12153,12164,12183,12188,12232,12255,3449,12436,3522,12381,4622,10494,10523,11027,11069,11078,11929,11950,12121,12124,12127,12130,12216,12235,12238,12251,12305,12308,12311,12314,12477,12480,12578,3597,10752,10843,11113,11157,11399,11402,11481,11563,11734,11980,4634,11036,11149,11170,11173,11240,11243,11254,11361,11369,11383,11423,11440,11449,11489,11530,11535,11538,11557,11560,11597,11602,11605,11608,11611,11851,11994,12027,12299,12302,12336,12382,12407,12554,12600,3507,10874,10904,10913,10916,10919,3546,3539,3957,3896,10526,11904,11932,4631,10474,10862,10865,11364,11380,11867,11920,11954,11981,12080,12109,12112,12115,12118,12375,3468,10907,11063,11133,11933,12079,12277,12485,3920,4255,4628,3931,3965,4614,4617,3424,3428,4616,4615,3753,4349,4644,10773,10776,4649,11246,11249,11443,11554,11571,11617,4039,11614,11953,3886,11176,11182,11200,12199,12329,3737,11318,11446,12442,12551,3888,10910,11279,11452,11486,3598,3704,10826,10829,10922,11089,4647,11898,4648,10666,10779,12504,12513,4310,11046,12522,12537,4218,3919,3864,4645,10499,10502,10868,10871,11770,4646,11878,3889,10832,11095,4150,4661,4687,4742,4746,4770,4785,4792,4794,4830,4835,4864,4870,4956,4982,4983,4998,5024,5052,5053,5076,5077,5091,5095,5120,5126,5142,5146,5147,5148,5153,5154,5177,5202,5204,5205,5215,5220,5226,5262,5263,5271,5279,5283,5285,5299,5302,5308,5313,5314,5327,5333,5336,5337,5341,5369,5384,5393,5395,5396,5399,5400,5401,5411,5413,5419,5420,5421,5427,5431,5432,5433,5441,5445,5446,5452,5465,5473,5486,5488,5496,5498,5499,5502,5506,5533,5547,5548,5563,5575,5597,5603,5627,5628,5631,5650,5658,5659,5664,5665,5675,5677,5690,5694,5703,5704,5706,5707,5723,5728,5737,5738,5749,5756,5770,5774,5777,5783,5784,5785,5788,5793,5829,5830,5833,5835,5837,5839,5840,5841,5843,5845,5847,5852,5859,5874,5888,5895,5896,5908,5919,5920,5927,5931,5933,5938,5946,5984,5998,6007,6010,6019,6023,6024,6025,6026,6027,6032,6037,6047,6053,6071,6075,6084,6113,6129,6155,6172,6173,6176,6191,6193,6195,6197,6212,6213,6216,6218,6221,6222,6239,6247,6248,6249,6251,6253,6290,6291,6296,6299,6305,6309,6343,6345,6347,6349,6359,6361,6364,6370,6372,6377,6380,6388,6396,6398,6399,6406,6429,6430,6431,6432,6433,6435,6441,6446,6480,6481,6484,6485,6486,6488,6489,6490,6491,6498,6533,6534,6543,6564,6565,6589,6591,6603,6604,6610,6640,6642,6657,6698,6700,6701,6757,6780,6823,6838,6846,6855,6856,6857,6858,6878,6879,6886,6898,6901,6903,6905,6906,6907,6909,6923,6934,6935,6936,6949,7003,7014,7016,7038,7039,7075,7082,7089,7119,7150,7206,7235,7292,7313,7322,7325,7385,7395,7457,7459,7473,7482,7483,7484,7501,7505,7507,7554,7564,7567,7582,7629,7631,7634,7678,7679,7697,7767,7785,7809,7833,7845,7859,7870,7881,7882,7908,7910,7912,7923,7963,7974,7999,8026,8058,8089,8123,8162,8178,8180,8196,8197,8263,8274,8339,8363,8383,8410,8449,8450,8467,8507,8509,8511,8517,8532,8536,8551,8572,8580,8582,8592,8597,8601,8602,8603,8604,8605,8606,8625,8639,8640,8658,8660,8664,8665,8666,8667,8668,8688,8689,8690,8700,8713,8716,8728,8733,8735,8737,8738,8739,8746,8747,8753,8761,8764,8781,8782,8784,8792,8793,8801,8820,8833,8837,8858,8880,8881,8884,8885,8891,8900,8901,8924,8935,8945,8946,8947,8950,8973,8974,8985,9034,9040,9046,9048,9064,9067,9078,9079,9080,9091,9155,9186,9187,9188,9203,9220,9228,9256,9257,9326,9359,9365,9375,9376,9377,9386,9416,9432,9436,9440,9462,9463,9490,9552,9557,9560,9597,9598,9599,9627,9628,9644,9665,9671,9683,9708,9729,9738,9739,9740,9741,9756,9758,9763,9793,9794,9800,9801,9847,9848,9859,9860,9884,9903,9905,9906,9914,9919,9926,9950,9985,9987,9991,10041,10077,10087,10089,10093,10094,10096,10105,10106,10126,10131,10225,10318,10319,10320,10321,10380,10398,2,8,9,4674,4675,4693,4735,4736,4738,4761,4763,4764,4774,4819,4821,4869,4999,5000,5017,5041,5098,5099,5105,5106,5108,5110,5119,5122,5123,5131,5144,5145,5151,5172,5173,5191,5196,5197,5198,5199,5203,5211,5214,5221,5276,5281,5282,5287,5293,5324,5334,5339,5349,5366,5368,5375,5376,5378,5389,5407,5409,5410,5417,5424,5425,5437,5438,5439,5440,5442,5443,5448,5449,5450,5451,5482,5483,5484,5492,5493,5494,5495,5539,5544,5546,5582,5584,5585,5587,5588,5590,5591,5593,5602,5607,5609,5610,5611,5613,5615,5616,5617,5618,5619,5620,5629,5639,5642,5653,5669,5670,5673,5683,5686,5687,5688,5715,5725,5740,5741,5750,5751,5753,5755,5760,5795,5800,5802,5861,5897,5898,5912,5918,5921,5922,5923,5924,5943,5947,5948,5957,5979,6011,6030,6031,6035,6036,6038,6063,6064,6065,6069,6070,6086,6097,6098,6131,6132,6136,6157,6160,6163,6185,6186,6214,6217,6226,6235,6237,6246,6250,6258,6259,6260,6261,6293,6310,6363,6400,6402,6403,6426,6427,6434,6438,6439,6442,6456,6472,6493,6494,6499,6510,6513,6526,6546,6552,6554,6569,6570,6573,6574,6576,6578,6579,6580,6582,6584,6590,6596,6597,6599,6600,6606,6608,6650,6656,6671,6675,6676,6677,6711,6716,6718,6723,6724,6734,6738,6752,6775,6776,6778,6779,6790,6796,6815,6818,6839,6859,6872,6873,6874,6880,6894,6913,6915,6917,6919,6924,6930,6932,6946,6951,6952,6989,6990,6991,7005,7006,7008,7009,7028,7030,7045,7073,7097,7108,7110,7112,7114,7115,7147,7148,7149,7153,7154,7161,7162,7164,7166,7188,7197,7198,7209,7219,7259,7269,7275,7282,7293,7298,7300,7307,7316,7329,7346,7367,7369,7388,7442,7443,7444,7446,7448,7452,7453,7458,7522,7550,7565,7581,7612,7616,7637,7662,7680,7683,7684,7694,7714,7716,7718,7720,7721,7722,7723,7724,7749,7775,7776,7808,7810,7811,7812,7818,7839,7856,7861,7867,7869,7877,7889,7890,7892,7913,7921,7942,8012,8013,8014,8061,8067,8068,8092,8093,8110,8111,8112,8169,8170,8199,8229,8238,8251,8266,8295,8299,8305,8317,8335,8340,8362,8375,8408,8437,8451,8471,8474,8500,8525,8583,8584,8587,8588,8656,8692,8693,8694,8695,8723,8756,8786,8794])).
% 164.10/163.70 cnf(12626,plain,
% 164.10/163.70 (P107(f316(f316(f318(x126261),x126262),f231(f905(x126261,a895))))),
% 164.10/163.70 inference(rename_variables,[],[3597])).
% 164.10/163.70 cnf(12627,plain,
% 164.10/163.70 (~E(f316(a102,x126271),x126271)),
% 164.10/163.70 inference(rename_variables,[],[4589])).
% 164.10/163.70 cnf(12630,plain,
% 164.10/163.70 (P107(f316(f316(f318(f899(x126301)),f103(x126301)),f151(x126301,x126302)))),
% 164.10/163.70 inference(rename_variables,[],[3641])).
% 164.10/163.70 cnf(12631,plain,
% 164.10/163.70 (~E(f316(f316(f141(x126311),x126312),x126313),f103(x126311))),
% 164.10/163.70 inference(rename_variables,[],[4605])).
% 164.10/163.70 cnf(12634,plain,
% 164.10/163.70 (P22(x126341,x126341,f5(x126341),x126342)),
% 164.10/163.70 inference(rename_variables,[],[3681])).
% 164.10/163.70 cnf(12637,plain,
% 164.10/163.70 (P107(f316(f316(f318(x126371),f316(x126372,x126373)),f316(f299(x126374,x126371,x126372),f231(f905(x126374,a895)))))),
% 164.10/163.70 inference(rename_variables,[],[4039])).
% 164.10/163.70 cnf(12638,plain,
% 164.10/163.70 (P22(x126381,x126381,f5(x126381),x126382)),
% 164.10/163.70 inference(rename_variables,[],[3681])).
% 164.10/163.70 cnf(12641,plain,
% 164.10/163.70 (P107(f316(f316(f224(f905(x126411,a895)),f178(f905(x126411,a895))),x126412))),
% 164.10/163.70 inference(rename_variables,[],[3888])).
% 164.10/163.70 cnf(12642,plain,
% 164.10/163.70 (P107(f316(f316(f224(f905(x126421,a895)),x126422),x126422))),
% 164.10/163.70 inference(rename_variables,[],[3737])).
% 164.10/163.70 cnf(12645,plain,
% 164.10/163.70 (P107(f316(f316(f318(x126451),f316(x126452,x126453)),f316(f299(x126454,x126451,x126452),f231(f905(x126454,a895)))))),
% 164.10/163.70 inference(rename_variables,[],[4039])).
% 164.10/163.70 cnf(12646,plain,
% 164.10/163.70 (P22(x126461,x126461,f5(x126461),x126462)),
% 164.10/163.70 inference(rename_variables,[],[3681])).
% 164.10/163.70 cnf(12649,plain,
% 164.10/163.70 (P107(f316(f316(f318(f904(f899(x126491),f899(x126491))),f316(f316(f241(f899(x126491),f899(x126491)),f103(x126491)),f103(x126491))),f148(x126491,x126492)))),
% 164.10/163.70 inference(rename_variables,[],[4214])).
% 164.10/163.70 cnf(12653,plain,
% 164.10/163.70 (~P107(f316(f316(f225(a898),x126531),f2(a898)))),
% 164.10/163.70 inference(rename_variables,[],[4626])).
% 164.10/163.70 cnf(12659,plain,
% 164.10/163.70 (E(f316(f316(f124(x126591),x126592),f103(x126591)),x126592)),
% 164.10/163.70 inference(rename_variables,[],[3379])).
% 164.10/163.70 cnf(12660,plain,
% 164.10/163.70 (~E(f316(f316(f141(x126601),x126602),x126603),x126603)),
% 164.10/163.70 inference(rename_variables,[],[4602])).
% 164.10/163.70 cnf(12663,plain,
% 164.10/163.70 (E(f316(f316(f124(x126631),x126632),f103(x126631)),x126632)),
% 164.10/163.70 inference(rename_variables,[],[3379])).
% 164.10/163.70 cnf(12664,plain,
% 164.10/163.70 (~E(f316(f316(f141(x126641),x126642),x126643),x126643)),
% 164.10/163.70 inference(rename_variables,[],[4602])).
% 164.10/163.70 cnf(12667,plain,
% 164.10/163.70 (E(f316(f316(f124(x126671),x126672),f103(x126671)),x126672)),
% 164.10/163.70 inference(rename_variables,[],[3379])).
% 164.10/163.70 cnf(12674,plain,
% 164.10/163.70 (P50(x126741,f252(x126741,x126742))),
% 164.10/163.70 inference(rename_variables,[],[3321])).
% 164.10/163.70 cnf(12677,plain,
% 164.10/163.70 (P107(f316(f316(f224(f905(x126771,a895)),f316(f162(x126771),f316(f126(x126771,x126772),x126773))),f316(f162(x126771),x126773)))),
% 164.10/163.70 inference(rename_variables,[],[4082])).
% 164.10/163.70 cnf(12678,plain,
% 164.10/163.70 (E(f316(f299(x126781,x126781,f5(x126781)),x126782),x126782)),
% 164.10/163.70 inference(rename_variables,[],[3505])).
% 164.10/163.70 cnf(12683,plain,
% 164.10/163.70 (P107(f316(f316(f224(f905(x126831,a895)),x126832),f231(f905(x126831,a895))))),
% 164.10/163.70 inference(rename_variables,[],[3822])).
% 164.10/163.70 cnf(12687,plain,
% 164.10/163.70 (~P107(f316(f316(f225(a898),x126871),x126871))),
% 164.10/163.70 inference(rename_variables,[],[4622])).
% 164.10/163.70 cnf(12688,plain,
% 164.10/163.70 (~E(f316(a102,x126881),x126881)),
% 164.10/163.70 inference(rename_variables,[],[4589])).
% 164.10/163.70 cnf(12691,plain,
% 164.10/163.70 (P107(f316(f316(f224(f905(x126911,a895)),f178(f905(x126911,a895))),x126912))),
% 164.10/163.70 inference(rename_variables,[],[3888])).
% 164.10/163.70 cnf(12694,plain,
% 164.10/163.70 (P107(f316(f316(f224(a898),x126941),x126941))),
% 164.10/163.70 inference(rename_variables,[],[3447])).
% 164.10/163.70 cnf(12697,plain,
% 164.10/163.70 (P107(f316(f316(f224(f905(x126971,a895)),x126972),x126972))),
% 164.10/163.70 inference(rename_variables,[],[3737])).
% 164.10/163.70 cnf(12702,plain,
% 164.10/163.70 (P107(f316(f316(f224(f905(x127021,a895)),x127022),f316(f316(f298(x127021),x127023),x127022)))),
% 164.10/163.70 inference(rename_variables,[],[3886])).
% 164.10/163.70 cnf(12705,plain,
% 164.10/163.70 (P107(f316(f316(f224(f905(x127051,a895)),x127052),x127052))),
% 164.10/163.70 inference(rename_variables,[],[3737])).
% 164.10/163.70 cnf(12706,plain,
% 164.10/163.70 (~P107(f316(f316(f318(x127061),x127062),f178(f905(x127061,a895))))),
% 164.10/163.70 inference(rename_variables,[],[4634])).
% 164.10/163.70 cnf(12709,plain,
% 164.10/163.70 (~P107(f316(f316(f318(x127091),x127092),f178(f905(x127091,a895))))),
% 164.10/163.70 inference(rename_variables,[],[4634])).
% 164.10/163.70 cnf(12717,plain,
% 164.10/163.70 (~P107(f316(f316(f224(f905(f904(x127171,x127171),a895)),f316(f299(f904(x127171,x127171),f904(x127171,x127171),f5(f904(x127171,x127171))),f231(f905(f904(x127171,x127171),a895)))),f316(f299(f904(x127171,x127171),f904(x127171,x127171),f5(f904(x127171,x127171))),f178(f905(f904(x127171,x127171),a895)))))),
% 164.10/163.70 inference(scs_inference,[],[3681,11335,12392,12495,12498,12592,12634,12638,12646,3690,3697,3417,4608,4609,3317,3320,3321,4607,4589,10414,10424,10437,10448,10451,10555,10558,10561,10663,10798,11108,11301,11304,11327,11330,11527,11628,11635,11649,11695,11698,11731,11746,11809,11868,11884,12178,12203,12217,12246,12252,12346,12458,12627,3502,3649,12150,3368,4595,10647,10747,11211,3058,3060,3061,3064,3065,3067,3068,3071,3072,3073,3079,3083,3084,3086,3091,3092,3101,3104,3105,3112,3118,3123,3126,3127,3131,3137,3156,3163,3201,3206,3207,3215,3222,3224,3226,3230,3244,4587,4003,11915,3294,11625,3408,10486,10489,10582,10585,10901,11640,11643,11757,11796,11801,11910,12364,3379,12659,12663,3385,3394,3898,4200,3284,3643,3989,11671,3345,3280,3307,3758,3303,3292,3293,3910,3327,3505,11058,11185,12459,12678,3378,4071,4602,10477,10644,11524,12619,12660,4605,12631,3438,11997,4632,11237,11340,11580,11583,3550,4611,3342,3343,10547,10877,3602,3262,3364,11661,4214,12649,4073,11257,11396,11455,12603,12609,4650,11160,11409,11518,11544,11588,11594,12545,4651,11290,11412,11521,4652,11415,4653,11473,4654,3363,3641,12501,12542,12630,3804,3590,4485,4486,4600,11654,3741,3953,3999,3627,3881,3514,10566,10686,10764,10837,10840,10880,10980,11227,11845,12094,12174,12239,12317,12355,12430,12433,3891,11901,3431,3526,11730,3703,4626,10454,10457,10483,10607,10782,10988,11003,11118,11566,11664,11844,12065,12070,12293,12296,12376,12548,4638,11773,11804,11841,11848,11881,3878,3650,4021,3474,3476,3450,4623,4597,3830,3634,4639,4207,11541,3763,3486,12018,12021,12466,4630,10442,10445,10615,10710,10729,10736,10759,10767,10770,10787,10973,11214,11435,11724,11818,11966,12083,12086,4176,4135,12167,12516,4082,11055,12349,12526,4130,11263,12389,12465,12525,12571,3805,11852,12177,12324,12397,12449,4164,3822,10610,10707,11260,11345,11428,11492,12345,12411,4642,11006,11420,3447,10575,10673,10823,10887,10962,11009,11012,11043,11066,11102,11140,11179,11969,12015,12147,12202,12220,12223,12226,12229,12404,12418,12421,12424,12427,12509,12575,3448,10602,10658,10892,10983,11105,11749,12048,12051,12062,12153,12164,12183,12188,12232,12255,3449,12436,3522,12381,4622,10494,10523,11027,11069,11078,11929,11950,12121,12124,12127,12130,12216,12235,12238,12251,12305,12308,12311,12314,12477,12480,12578,12581,3597,10752,10843,11113,11157,11399,11402,11481,11563,11734,11980,4634,11036,11149,11170,11173,11240,11243,11254,11361,11369,11383,11423,11440,11449,11489,11530,11535,11538,11557,11560,11597,11602,11605,11608,11611,11851,11994,12027,12299,12302,12336,12382,12407,12554,12600,12606,12706,3507,10874,10904,10913,10916,10919,3546,3539,3957,3896,10526,11904,11932,4631,10474,10862,10865,11364,11380,11867,11920,11954,11981,12080,12109,12112,12115,12118,12375,3468,10907,11063,11133,11933,12079,12277,12485,3920,4255,4628,3931,3965,4614,4617,3424,3428,4616,4615,3753,4349,4644,10773,10776,4649,11246,11249,11443,11554,11571,11617,4039,11614,11953,11957,12637,3886,11176,11182,11200,12199,12329,12410,3737,11318,11446,12442,12551,12561,12642,12697,3888,10910,11279,11452,11486,11497,12641,3598,3704,10826,10829,10922,11089,4647,11898,4648,10666,10779,12504,12513,4310,11046,12522,12537,4218,3919,3864,4645,10499,10502,10868,10871,11770,4646,11878,3889,10832,11095,4150,4661,4687,4742,4746,4770,4785,4792,4794,4830,4835,4864,4870,4956,4982,4983,4998,5024,5052,5053,5076,5077,5091,5095,5120,5126,5142,5146,5147,5148,5153,5154,5177,5202,5204,5205,5215,5220,5226,5262,5263,5271,5279,5283,5285,5299,5302,5308,5313,5314,5327,5333,5336,5337,5341,5369,5384,5393,5395,5396,5399,5400,5401,5411,5413,5419,5420,5421,5427,5431,5432,5433,5441,5445,5446,5452,5465,5473,5486,5488,5496,5498,5499,5502,5506,5533,5547,5548,5563,5575,5597,5603,5627,5628,5631,5650,5658,5659,5664,5665,5675,5677,5690,5694,5703,5704,5706,5707,5723,5728,5737,5738,5749,5756,5770,5774,5777,5783,5784,5785,5788,5793,5829,5830,5833,5835,5837,5839,5840,5841,5843,5845,5847,5852,5859,5874,5888,5895,5896,5908,5919,5920,5927,5931,5933,5938,5946,5984,5998,6007,6010,6019,6023,6024,6025,6026,6027,6032,6037,6047,6053,6071,6075,6084,6113,6129,6155,6172,6173,6176,6191,6193,6195,6197,6212,6213,6216,6218,6221,6222,6239,6247,6248,6249,6251,6253,6290,6291,6296,6299,6305,6309,6343,6345,6347,6349,6359,6361,6364,6370,6372,6377,6380,6388,6396,6398,6399,6406,6429,6430,6431,6432,6433,6435,6441,6446,6480,6481,6484,6485,6486,6488,6489,6490,6491,6498,6533,6534,6543,6564,6565,6589,6591,6603,6604,6610,6640,6642,6657,6698,6700,6701,6757,6780,6823,6838,6846,6855,6856,6857,6858,6878,6879,6886,6898,6901,6903,6905,6906,6907,6909,6923,6934,6935,6936,6949,7003,7014,7016,7038,7039,7075,7082,7089,7119,7150,7206,7235,7292,7313,7322,7325,7385,7395,7457,7459,7473,7482,7483,7484,7501,7505,7507,7554,7564,7567,7582,7629,7631,7634,7678,7679,7697,7767,7785,7809,7833,7845,7859,7870,7881,7882,7908,7910,7912,7923,7963,7974,7999,8026,8058,8089,8123,8162,8178,8180,8196,8197,8263,8274,8339,8363,8383,8410,8449,8450,8467,8507,8509,8511,8517,8532,8536,8551,8572,8580,8582,8592,8597,8601,8602,8603,8604,8605,8606,8625,8639,8640,8658,8660,8664,8665,8666,8667,8668,8688,8689,8690,8700,8713,8716,8728,8733,8735,8737,8738,8739,8746,8747,8753,8761,8764,8781,8782,8784,8792,8793,8801,8820,8833,8837,8858,8880,8881,8884,8885,8891,8900,8901,8924,8935,8945,8946,8947,8950,8973,8974,8985,9034,9040,9046,9048,9064,9067,9078,9079,9080,9091,9155,9186,9187,9188,9203,9220,9228,9256,9257,9326,9359,9365,9375,9376,9377,9386,9416,9432,9436,9440,9462,9463,9490,9552,9557,9560,9597,9598,9599,9627,9628,9644,9665,9671,9683,9708,9729,9738,9739,9740,9741,9756,9758,9763,9793,9794,9800,9801,9847,9848,9859,9860,9884,9903,9905,9906,9914,9919,9926,9950,9985,9987,9991,10041,10077,10087,10089,10093,10094,10096,10105,10106,10126,10131,10225,10318,10319,10320,10321,10380,10398,2,8,9,4674,4675,4693,4735,4736,4738,4761,4763,4764,4774,4819,4821,4869,4999,5000,5017,5041,5098,5099,5105,5106,5108,5110,5119,5122,5123,5131,5144,5145,5151,5172,5173,5191,5196,5197,5198,5199,5203,5211,5214,5221,5276,5281,5282,5287,5293,5324,5334,5339,5349,5366,5368,5375,5376,5378,5389,5407,5409,5410,5417,5424,5425,5437,5438,5439,5440,5442,5443,5448,5449,5450,5451,5482,5483,5484,5492,5493,5494,5495,5539,5544,5546,5582,5584,5585,5587,5588,5590,5591,5593,5602,5607,5609,5610,5611,5613,5615,5616,5617,5618,5619,5620,5629,5639,5642,5653,5669,5670,5673,5683,5686,5687,5688,5715,5725,5740,5741,5750,5751,5753,5755,5760,5795,5800,5802,5861,5897,5898,5912,5918,5921,5922,5923,5924,5943,5947,5948,5957,5979,6011,6030,6031,6035,6036,6038,6063,6064,6065,6069,6070,6086,6097,6098,6131,6132,6136,6157,6160,6163,6185,6186,6214,6217,6226,6235,6237,6246,6250,6258,6259,6260,6261,6293,6310,6363,6400,6402,6403,6426,6427,6434,6438,6439,6442,6456,6472,6493,6494,6499,6510,6513,6526,6546,6552,6554,6569,6570,6573,6574,6576,6578,6579,6580,6582,6584,6590,6596,6597,6599,6600,6606,6608,6650,6656,6671,6675,6676,6677,6711,6716,6718,6723,6724,6734,6738,6752,6775,6776,6778,6779,6790,6796,6815,6818,6839,6859,6872,6873,6874,6880,6894,6913,6915,6917,6919,6924,6930,6932,6946,6951,6952,6989,6990,6991,7005,7006,7008,7009,7028,7030,7045,7073,7097,7108,7110,7112,7114,7115,7147,7148,7149,7153,7154,7161,7162,7164,7166,7188,7197,7198,7209,7219,7259,7269,7275,7282,7293,7298,7300,7307,7316,7329,7346,7367,7369,7388,7442,7443,7444,7446,7448,7452,7453,7458,7522,7550,7565,7581,7612,7616,7637,7662,7680,7683,7684,7694,7714,7716,7718,7720,7721,7722,7723,7724,7749,7775,7776,7808,7810,7811,7812,7818,7839,7856,7861,7867,7869,7877,7889,7890,7892,7913,7921,7942,8012,8013,8014,8061,8067,8068,8092,8093,8110,8111,8112,8169,8170,8199,8229,8238,8251,8266,8295,8299,8305,8317,8335,8340,8362,8375,8408,8437,8451,8471,8474,8500,8525,8583,8584,8587,8588,8656,8692,8693,8694,8695,8723,8756,8786,8794,8795,8836,8857,8902,8918,8964,8967,8982,8989,9031,9074,9075,9093,9094,9108,9225,9230,9234,9254,9265,9288,9290,9293,9299,9301,9302,9313,9314,9333,9339])).
% 164.10/163.70 cnf(12718,plain,
% 164.10/163.70 (P22(x127181,x127181,f5(x127181),x127182)),
% 164.10/163.70 inference(rename_variables,[],[3681])).
% 164.10/163.70 cnf(12721,plain,
% 164.10/163.70 (E(f316(f179(f899(x127211)),f159(x127211,x127212,x127213)),x127212)),
% 164.10/163.70 inference(rename_variables,[],[3513])).
% 164.10/163.70 cnf(12724,plain,
% 164.10/163.70 (P23(x127241,x127241,f25(x127241),x127242,x127242)),
% 164.10/163.70 inference(rename_variables,[],[4097])).
% 164.10/163.70 cnf(12727,plain,
% 164.10/163.70 (~P107(f316(f316(f225(a898),x127271),x127271))),
% 164.10/163.70 inference(rename_variables,[],[4622])).
% 164.10/163.70 cnf(12728,plain,
% 164.10/163.70 (P107(f316(f231(f905(x127281,a895)),x127282))),
% 164.10/163.70 inference(rename_variables,[],[3507])).
% 164.10/163.70 cnf(12731,plain,
% 164.10/163.70 (~P107(f316(f316(f318(x127311),x127312),f178(f905(x127311,a895))))),
% 164.10/163.70 inference(rename_variables,[],[4634])).
% 164.10/163.70 cnf(12734,plain,
% 164.10/163.70 (P107(f316(f316(f318(x127341),f316(x127342,x127343)),f316(f299(x127344,x127341,x127342),f231(f905(x127344,a895)))))),
% 164.10/163.70 inference(rename_variables,[],[4039])).
% 164.10/163.70 cnf(12735,plain,
% 164.10/163.70 (P107(f316(f316(f318(f904(x127351,x127351)),f316(f316(f241(x127351,x127351),x127352),x127352)),f296(x127351,x127353)))),
% 164.10/163.70 inference(rename_variables,[],[4073])).
% 164.10/163.70 cnf(12738,plain,
% 164.10/163.70 (P107(f316(f316(f318(f904(x127381,x127381)),f316(f316(f241(x127381,x127381),x127382),x127382)),f296(x127381,x127383)))),
% 164.10/163.70 inference(rename_variables,[],[4073])).
% 164.10/163.70 cnf(12741,plain,
% 164.10/163.70 (P107(f316(f316(f224(a898),x127411),x127411))),
% 164.10/163.70 inference(rename_variables,[],[3447])).
% 164.10/163.70 cnf(12742,plain,
% 164.10/163.70 (P107(f316(f231(f905(x127421,a895)),x127422))),
% 164.10/163.70 inference(rename_variables,[],[3507])).
% 164.10/163.70 cnf(12745,plain,
% 164.10/163.70 (P107(f316(f316(f224(f905(x127451,a895)),x127452),f231(f905(x127451,a895))))),
% 164.10/163.70 inference(rename_variables,[],[3822])).
% 164.10/163.70 cnf(12746,plain,
% 164.10/163.70 (P23(x127461,x127461,f25(x127461),x127462,x127462)),
% 164.10/163.70 inference(rename_variables,[],[4097])).
% 164.10/163.70 cnf(12749,plain,
% 164.10/163.70 (P107(f316(f54(x127491),f316(f162(x127491),x127492)))),
% 164.10/163.70 inference(rename_variables,[],[3486])).
% 164.10/163.70 cnf(12754,plain,
% 164.10/163.70 (P107(f316(f316(f318(f904(f899(x127541),f899(x127541))),f316(f316(f241(f899(x127541),f899(x127541)),f103(x127541)),f103(x127541))),f316(f316(f278(f899(x127541),f899(x127541),f899(x127541)),f148(x127541,x127542)),f148(x127541,x127542))))),
% 164.10/163.70 inference(scs_inference,[],[4097,12724,3681,11335,12392,12495,12498,12592,12634,12638,12646,3690,3697,3417,4608,4609,3317,3320,3321,4607,4589,10414,10424,10437,10448,10451,10555,10558,10561,10663,10798,11108,11301,11304,11327,11330,11527,11628,11635,11649,11695,11698,11731,11746,11809,11868,11884,12178,12203,12217,12246,12252,12346,12458,12627,3502,3649,12150,3368,4595,10647,10747,11211,3058,3060,3061,3064,3065,3067,3068,3071,3072,3073,3079,3083,3084,3086,3091,3092,3101,3104,3105,3112,3118,3123,3126,3127,3131,3137,3156,3163,3201,3206,3207,3215,3222,3224,3226,3230,3244,4587,4003,11915,3294,11625,3408,10486,10489,10582,10585,10901,11640,11643,11757,11796,11801,11910,12364,3379,12659,12663,12667,3385,3394,3898,4200,3513,3284,3643,3989,11671,3345,3280,3307,3758,3303,3292,3293,3910,3327,3505,11058,11185,12459,12678,3378,4071,4602,10477,10644,11524,12619,12660,4605,12631,3438,11997,4632,11237,11340,11580,11583,3550,4611,3342,3343,10547,10877,3602,3262,3364,11661,4214,12649,4073,11257,11396,11455,12603,12609,12735,4650,11160,11409,11518,11544,11588,11594,12545,4651,11290,11412,11521,4652,11415,4653,11473,4654,3363,3641,12501,12542,12630,3804,3590,4485,4486,4600,11654,3741,3953,3999,3627,3881,3514,10566,10686,10764,10837,10840,10880,10980,11227,11845,12094,12174,12239,12317,12355,12430,12433,3891,11901,3431,3526,11730,3703,4626,10454,10457,10483,10607,10782,10988,11003,11118,11566,11664,11844,12065,12070,12293,12296,12376,12548,4638,11773,11804,11841,11848,11881,3878,3650,4021,3474,3476,3450,4623,4597,3830,3634,4639,4207,11541,3763,3486,12018,12021,12466,12572,4630,10442,10445,10615,10710,10729,10736,10759,10767,10770,10787,10973,11214,11435,11724,11818,11966,12083,12086,4176,4135,12167,12516,4082,11055,12349,12526,4130,11263,12389,12465,12525,12571,3805,11852,12177,12324,12397,12449,4164,3822,10610,10707,11260,11345,11428,11492,12345,12411,12683,4642,11006,11420,3447,10575,10673,10823,10887,10962,11009,11012,11043,11066,11102,11140,11179,11969,12015,12147,12202,12220,12223,12226,12229,12404,12418,12421,12424,12427,12509,12575,12694,3448,10602,10658,10892,10983,11105,11749,12048,12051,12062,12153,12164,12183,12188,12232,12255,3449,12436,3522,12381,4622,10494,10523,11027,11069,11078,11929,11950,12121,12124,12127,12130,12216,12235,12238,12251,12305,12308,12311,12314,12477,12480,12578,12581,12687,3597,10752,10843,11113,11157,11399,11402,11481,11563,11734,11980,4634,11036,11149,11170,11173,11240,11243,11254,11361,11369,11383,11423,11440,11449,11489,11530,11535,11538,11557,11560,11597,11602,11605,11608,11611,11851,11994,12027,12299,12302,12336,12382,12407,12554,12600,12606,12706,12709,3507,10874,10904,10913,10916,10919,11510,12728,3546,3539,3957,3896,10526,11904,11932,4631,10474,10862,10865,11364,11380,11867,11920,11954,11981,12080,12109,12112,12115,12118,12375,3468,10907,11063,11133,11933,12079,12277,12485,3920,4255,4628,3931,3965,4614,4617,3424,3428,4616,4615,3753,4349,4644,10773,10776,4649,11246,11249,11443,11554,11571,11617,4039,11614,11953,11957,12637,12645,3886,11176,11182,11200,12199,12329,12410,3737,11318,11446,12442,12551,12561,12642,12697,3888,10910,11279,11452,11486,11497,12641,3598,3704,10826,10829,10922,11089,4647,11898,4648,10666,10779,12504,12513,4310,11046,12522,12537,4218,3919,3864,4645,10499,10502,10868,10871,11770,4646,11878,3889,10832,11095,4150,4661,4687,4742,4746,4770,4785,4792,4794,4830,4835,4864,4870,4956,4982,4983,4998,5024,5052,5053,5076,5077,5091,5095,5120,5126,5142,5146,5147,5148,5153,5154,5177,5202,5204,5205,5215,5220,5226,5262,5263,5271,5279,5283,5285,5299,5302,5308,5313,5314,5327,5333,5336,5337,5341,5369,5384,5393,5395,5396,5399,5400,5401,5411,5413,5419,5420,5421,5427,5431,5432,5433,5441,5445,5446,5452,5465,5473,5486,5488,5496,5498,5499,5502,5506,5533,5547,5548,5563,5575,5597,5603,5627,5628,5631,5650,5658,5659,5664,5665,5675,5677,5690,5694,5703,5704,5706,5707,5723,5728,5737,5738,5749,5756,5770,5774,5777,5783,5784,5785,5788,5793,5829,5830,5833,5835,5837,5839,5840,5841,5843,5845,5847,5852,5859,5874,5888,5895,5896,5908,5919,5920,5927,5931,5933,5938,5946,5984,5998,6007,6010,6019,6023,6024,6025,6026,6027,6032,6037,6047,6053,6071,6075,6084,6113,6129,6155,6172,6173,6176,6191,6193,6195,6197,6212,6213,6216,6218,6221,6222,6239,6247,6248,6249,6251,6253,6290,6291,6296,6299,6305,6309,6343,6345,6347,6349,6359,6361,6364,6370,6372,6377,6380,6388,6396,6398,6399,6406,6429,6430,6431,6432,6433,6435,6441,6446,6480,6481,6484,6485,6486,6488,6489,6490,6491,6498,6533,6534,6543,6564,6565,6589,6591,6603,6604,6610,6640,6642,6657,6698,6700,6701,6757,6780,6823,6838,6846,6855,6856,6857,6858,6878,6879,6886,6898,6901,6903,6905,6906,6907,6909,6923,6934,6935,6936,6949,7003,7014,7016,7038,7039,7075,7082,7089,7119,7150,7206,7235,7292,7313,7322,7325,7385,7395,7457,7459,7473,7482,7483,7484,7501,7505,7507,7554,7564,7567,7582,7629,7631,7634,7678,7679,7697,7767,7785,7809,7833,7845,7859,7870,7881,7882,7908,7910,7912,7923,7963,7974,7999,8026,8058,8089,8123,8162,8178,8180,8196,8197,8263,8274,8339,8363,8383,8410,8449,8450,8467,8507,8509,8511,8517,8532,8536,8551,8572,8580,8582,8592,8597,8601,8602,8603,8604,8605,8606,8625,8639,8640,8658,8660,8664,8665,8666,8667,8668,8688,8689,8690,8700,8713,8716,8728,8733,8735,8737,8738,8739,8746,8747,8753,8761,8764,8781,8782,8784,8792,8793,8801,8820,8833,8837,8858,8880,8881,8884,8885,8891,8900,8901,8924,8935,8945,8946,8947,8950,8973,8974,8985,9034,9040,9046,9048,9064,9067,9078,9079,9080,9091,9155,9186,9187,9188,9203,9220,9228,9256,9257,9326,9359,9365,9375,9376,9377,9386,9416,9432,9436,9440,9462,9463,9490,9552,9557,9560,9597,9598,9599,9627,9628,9644,9665,9671,9683,9708,9729,9738,9739,9740,9741,9756,9758,9763,9793,9794,9800,9801,9847,9848,9859,9860,9884,9903,9905,9906,9914,9919,9926,9950,9985,9987,9991,10041,10077,10087,10089,10093,10094,10096,10105,10106,10126,10131,10225,10318,10319,10320,10321,10380,10398,2,8,9,4674,4675,4693,4735,4736,4738,4761,4763,4764,4774,4819,4821,4869,4999,5000,5017,5041,5098,5099,5105,5106,5108,5110,5119,5122,5123,5131,5144,5145,5151,5172,5173,5191,5196,5197,5198,5199,5203,5211,5214,5221,5276,5281,5282,5287,5293,5324,5334,5339,5349,5366,5368,5375,5376,5378,5389,5407,5409,5410,5417,5424,5425,5437,5438,5439,5440,5442,5443,5448,5449,5450,5451,5482,5483,5484,5492,5493,5494,5495,5539,5544,5546,5582,5584,5585,5587,5588,5590,5591,5593,5602,5607,5609,5610,5611,5613,5615,5616,5617,5618,5619,5620,5629,5639,5642,5653,5669,5670,5673,5683,5686,5687,5688,5715,5725,5740,5741,5750,5751,5753,5755,5760,5795,5800,5802,5861,5897,5898,5912,5918,5921,5922,5923,5924,5943,5947,5948,5957,5979,6011,6030,6031,6035,6036,6038,6063,6064,6065,6069,6070,6086,6097,6098,6131,6132,6136,6157,6160,6163,6185,6186,6214,6217,6226,6235,6237,6246,6250,6258,6259,6260,6261,6293,6310,6363,6400,6402,6403,6426,6427,6434,6438,6439,6442,6456,6472,6493,6494,6499,6510,6513,6526,6546,6552,6554,6569,6570,6573,6574,6576,6578,6579,6580,6582,6584,6590,6596,6597,6599,6600,6606,6608,6650,6656,6671,6675,6676,6677,6711,6716,6718,6723,6724,6734,6738,6752,6775,6776,6778,6779,6790,6796,6815,6818,6839,6859,6872,6873,6874,6880,6894,6913,6915,6917,6919,6924,6930,6932,6946,6951,6952,6989,6990,6991,7005,7006,7008,7009,7028,7030,7045,7073,7097,7108,7110,7112,7114,7115,7147,7148,7149,7153,7154,7161,7162,7164,7166,7188,7197,7198,7209,7219,7259,7269,7275,7282,7293,7298,7300,7307,7316,7329,7346,7367,7369,7388,7442,7443,7444,7446,7448,7452,7453,7458,7522,7550,7565,7581,7612,7616,7637,7662,7680,7683,7684,7694,7714,7716,7718,7720,7721,7722,7723,7724,7749,7775,7776,7808,7810,7811,7812,7818,7839,7856,7861,7867,7869,7877,7889,7890,7892,7913,7921,7942,8012,8013,8014,8061,8067,8068,8092,8093,8110,8111,8112,8169,8170,8199,8229,8238,8251,8266,8295,8299,8305,8317,8335,8340,8362,8375,8408,8437,8451,8471,8474,8500,8525,8583,8584,8587,8588,8656,8692,8693,8694,8695,8723,8756,8786,8794,8795,8836,8857,8902,8918,8964,8967,8982,8989,9031,9074,9075,9093,9094,9108,9225,9230,9234,9254,9265,9288,9290,9293,9299,9301,9302,9313,9314,9333,9339,9350,9358,9402,9420,9475,9476,9482,9521,9544,9549,9589])).
% 164.10/163.70 cnf(12756,plain,
% 164.10/163.70 (P107(f316(f316(f318(f904(x127561,x127561)),f316(f316(f241(x127561,x127561),x127562),x127562)),f316(f316(f278(x127561,x127561,x127561),f296(x127561,x127563)),f296(x127561,f296(x127561,x127563)))))),
% 164.10/163.70 inference(scs_inference,[],[4097,12724,3681,11335,12392,12495,12498,12592,12634,12638,12646,3690,3697,3417,4608,4609,3317,3320,3321,4607,4589,10414,10424,10437,10448,10451,10555,10558,10561,10663,10798,11108,11301,11304,11327,11330,11527,11628,11635,11649,11695,11698,11731,11746,11809,11868,11884,12178,12203,12217,12246,12252,12346,12458,12627,3502,3649,12150,3368,4595,10647,10747,11211,3058,3060,3061,3064,3065,3067,3068,3071,3072,3073,3079,3083,3084,3086,3091,3092,3101,3104,3105,3112,3118,3123,3126,3127,3131,3137,3156,3163,3201,3206,3207,3215,3222,3224,3226,3230,3244,4587,4003,11915,3294,11625,3408,10486,10489,10582,10585,10901,11640,11643,11757,11796,11801,11910,12364,3379,12659,12663,12667,3385,3394,3898,4200,3513,3284,3643,3989,11671,3345,3280,3307,3758,3303,3292,3293,3910,3327,3505,11058,11185,12459,12678,3378,4071,4602,10477,10644,11524,12619,12660,4605,12631,3438,11997,4632,11237,11340,11580,11583,3550,4611,3342,3343,10547,10877,3602,3262,3364,11661,4214,12649,4073,11257,11396,11455,12603,12609,12735,12738,4650,11160,11409,11518,11544,11588,11594,12545,4651,11290,11412,11521,4652,11415,4653,11473,4654,3363,3641,12501,12542,12630,3804,3590,4485,4486,4600,11654,3741,3953,3999,3627,3881,3514,10566,10686,10764,10837,10840,10880,10980,11227,11845,12094,12174,12239,12317,12355,12430,12433,3891,11901,3431,3526,11730,3703,4626,10454,10457,10483,10607,10782,10988,11003,11118,11566,11664,11844,12065,12070,12293,12296,12376,12548,4638,11773,11804,11841,11848,11881,3878,3650,4021,3474,3476,3450,4623,4597,3830,3634,4639,4207,11541,3763,3486,12018,12021,12466,12572,4630,10442,10445,10615,10710,10729,10736,10759,10767,10770,10787,10973,11214,11435,11724,11818,11966,12083,12086,4176,4135,12167,12516,4082,11055,12349,12526,4130,11263,12389,12465,12525,12571,3805,11852,12177,12324,12397,12449,4164,3822,10610,10707,11260,11345,11428,11492,12345,12411,12683,4642,11006,11420,3447,10575,10673,10823,10887,10962,11009,11012,11043,11066,11102,11140,11179,11969,12015,12147,12202,12220,12223,12226,12229,12404,12418,12421,12424,12427,12509,12575,12694,3448,10602,10658,10892,10983,11105,11749,12048,12051,12062,12153,12164,12183,12188,12232,12255,3449,12436,3522,12381,4622,10494,10523,11027,11069,11078,11929,11950,12121,12124,12127,12130,12216,12235,12238,12251,12305,12308,12311,12314,12477,12480,12578,12581,12687,3597,10752,10843,11113,11157,11399,11402,11481,11563,11734,11980,4634,11036,11149,11170,11173,11240,11243,11254,11361,11369,11383,11423,11440,11449,11489,11530,11535,11538,11557,11560,11597,11602,11605,11608,11611,11851,11994,12027,12299,12302,12336,12382,12407,12554,12600,12606,12706,12709,3507,10874,10904,10913,10916,10919,11510,12728,3546,3539,3957,3896,10526,11904,11932,4631,10474,10862,10865,11364,11380,11867,11920,11954,11981,12080,12109,12112,12115,12118,12375,3468,10907,11063,11133,11933,12079,12277,12485,3920,4255,4628,3931,3965,4614,4617,3424,3428,4616,4615,3753,4349,4644,10773,10776,4649,11246,11249,11443,11554,11571,11617,4039,11614,11953,11957,12637,12645,3886,11176,11182,11200,12199,12329,12410,3737,11318,11446,12442,12551,12561,12642,12697,3888,10910,11279,11452,11486,11497,12641,3598,3704,10826,10829,10922,11089,4647,11898,4648,10666,10779,12504,12513,4310,11046,12522,12537,4218,3919,3864,4645,10499,10502,10868,10871,11770,4646,11878,3889,10832,11095,4150,4661,4687,4742,4746,4770,4785,4792,4794,4830,4835,4864,4870,4956,4982,4983,4998,5024,5052,5053,5076,5077,5091,5095,5120,5126,5142,5146,5147,5148,5153,5154,5177,5202,5204,5205,5215,5220,5226,5262,5263,5271,5279,5283,5285,5299,5302,5308,5313,5314,5327,5333,5336,5337,5341,5369,5384,5393,5395,5396,5399,5400,5401,5411,5413,5419,5420,5421,5427,5431,5432,5433,5441,5445,5446,5452,5465,5473,5486,5488,5496,5498,5499,5502,5506,5533,5547,5548,5563,5575,5597,5603,5627,5628,5631,5650,5658,5659,5664,5665,5675,5677,5690,5694,5703,5704,5706,5707,5723,5728,5737,5738,5749,5756,5770,5774,5777,5783,5784,5785,5788,5793,5829,5830,5833,5835,5837,5839,5840,5841,5843,5845,5847,5852,5859,5874,5888,5895,5896,5908,5919,5920,5927,5931,5933,5938,5946,5984,5998,6007,6010,6019,6023,6024,6025,6026,6027,6032,6037,6047,6053,6071,6075,6084,6113,6129,6155,6172,6173,6176,6191,6193,6195,6197,6212,6213,6216,6218,6221,6222,6239,6247,6248,6249,6251,6253,6290,6291,6296,6299,6305,6309,6343,6345,6347,6349,6359,6361,6364,6370,6372,6377,6380,6388,6396,6398,6399,6406,6429,6430,6431,6432,6433,6435,6441,6446,6480,6481,6484,6485,6486,6488,6489,6490,6491,6498,6533,6534,6543,6564,6565,6589,6591,6603,6604,6610,6640,6642,6657,6698,6700,6701,6757,6780,6823,6838,6846,6855,6856,6857,6858,6878,6879,6886,6898,6901,6903,6905,6906,6907,6909,6923,6934,6935,6936,6949,7003,7014,7016,7038,7039,7075,7082,7089,7119,7150,7206,7235,7292,7313,7322,7325,7385,7395,7457,7459,7473,7482,7483,7484,7501,7505,7507,7554,7564,7567,7582,7629,7631,7634,7678,7679,7697,7767,7785,7809,7833,7845,7859,7870,7881,7882,7908,7910,7912,7923,7963,7974,7999,8026,8058,8089,8123,8162,8178,8180,8196,8197,8263,8274,8339,8363,8383,8410,8449,8450,8467,8507,8509,8511,8517,8532,8536,8551,8572,8580,8582,8592,8597,8601,8602,8603,8604,8605,8606,8625,8639,8640,8658,8660,8664,8665,8666,8667,8668,8688,8689,8690,8700,8713,8716,8728,8733,8735,8737,8738,8739,8746,8747,8753,8761,8764,8781,8782,8784,8792,8793,8801,8820,8833,8837,8858,8880,8881,8884,8885,8891,8900,8901,8924,8935,8945,8946,8947,8950,8973,8974,8985,9034,9040,9046,9048,9064,9067,9078,9079,9080,9091,9155,9186,9187,9188,9203,9220,9228,9256,9257,9326,9359,9365,9375,9376,9377,9386,9416,9432,9436,9440,9462,9463,9490,9552,9557,9560,9597,9598,9599,9627,9628,9644,9665,9671,9683,9708,9729,9738,9739,9740,9741,9756,9758,9763,9793,9794,9800,9801,9847,9848,9859,9860,9884,9903,9905,9906,9914,9919,9926,9950,9985,9987,9991,10041,10077,10087,10089,10093,10094,10096,10105,10106,10126,10131,10225,10318,10319,10320,10321,10380,10398,2,8,9,4674,4675,4693,4735,4736,4738,4761,4763,4764,4774,4819,4821,4869,4999,5000,5017,5041,5098,5099,5105,5106,5108,5110,5119,5122,5123,5131,5144,5145,5151,5172,5173,5191,5196,5197,5198,5199,5203,5211,5214,5221,5276,5281,5282,5287,5293,5324,5334,5339,5349,5366,5368,5375,5376,5378,5389,5407,5409,5410,5417,5424,5425,5437,5438,5439,5440,5442,5443,5448,5449,5450,5451,5482,5483,5484,5492,5493,5494,5495,5539,5544,5546,5582,5584,5585,5587,5588,5590,5591,5593,5602,5607,5609,5610,5611,5613,5615,5616,5617,5618,5619,5620,5629,5639,5642,5653,5669,5670,5673,5683,5686,5687,5688,5715,5725,5740,5741,5750,5751,5753,5755,5760,5795,5800,5802,5861,5897,5898,5912,5918,5921,5922,5923,5924,5943,5947,5948,5957,5979,6011,6030,6031,6035,6036,6038,6063,6064,6065,6069,6070,6086,6097,6098,6131,6132,6136,6157,6160,6163,6185,6186,6214,6217,6226,6235,6237,6246,6250,6258,6259,6260,6261,6293,6310,6363,6400,6402,6403,6426,6427,6434,6438,6439,6442,6456,6472,6493,6494,6499,6510,6513,6526,6546,6552,6554,6569,6570,6573,6574,6576,6578,6579,6580,6582,6584,6590,6596,6597,6599,6600,6606,6608,6650,6656,6671,6675,6676,6677,6711,6716,6718,6723,6724,6734,6738,6752,6775,6776,6778,6779,6790,6796,6815,6818,6839,6859,6872,6873,6874,6880,6894,6913,6915,6917,6919,6924,6930,6932,6946,6951,6952,6989,6990,6991,7005,7006,7008,7009,7028,7030,7045,7073,7097,7108,7110,7112,7114,7115,7147,7148,7149,7153,7154,7161,7162,7164,7166,7188,7197,7198,7209,7219,7259,7269,7275,7282,7293,7298,7300,7307,7316,7329,7346,7367,7369,7388,7442,7443,7444,7446,7448,7452,7453,7458,7522,7550,7565,7581,7612,7616,7637,7662,7680,7683,7684,7694,7714,7716,7718,7720,7721,7722,7723,7724,7749,7775,7776,7808,7810,7811,7812,7818,7839,7856,7861,7867,7869,7877,7889,7890,7892,7913,7921,7942,8012,8013,8014,8061,8067,8068,8092,8093,8110,8111,8112,8169,8170,8199,8229,8238,8251,8266,8295,8299,8305,8317,8335,8340,8362,8375,8408,8437,8451,8471,8474,8500,8525,8583,8584,8587,8588,8656,8692,8693,8694,8695,8723,8756,8786,8794,8795,8836,8857,8902,8918,8964,8967,8982,8989,9031,9074,9075,9093,9094,9108,9225,9230,9234,9254,9265,9288,9290,9293,9299,9301,9302,9313,9314,9333,9339,9350,9358,9402,9420,9475,9476,9482,9521,9544,9549,9589,9603])).
% 164.10/163.70 cnf(12759,plain,
% 164.10/163.70 (~P107(f316(f316(f178(f905(x127591,f905(x127592,a895))),x127593),x127594))),
% 164.10/163.70 inference(rename_variables,[],[4648])).
% 164.10/163.70 cnf(12765,plain,
% 164.10/163.70 (P107(f316(f316(f224(f905(x127651,a895)),x127652),f231(f905(x127651,a895))))),
% 164.10/163.70 inference(rename_variables,[],[3822])).
% 164.10/163.70 cnf(12768,plain,
% 164.10/163.70 (P107(f316(f316(f318(f904(x127681,x127681)),f316(f316(f241(x127681,x127681),x127682),x127682)),f296(x127681,x127683)))),
% 164.10/163.70 inference(rename_variables,[],[4073])).
% 164.10/163.70 cnf(12771,plain,
% 164.10/163.70 (~P107(f316(f316(f225(a898),f316(f316(f74(a898),x127711),x127712)),x127712))),
% 164.10/163.70 inference(rename_variables,[],[4645])).
% 164.10/163.70 cnf(12772,plain,
% 164.10/163.70 (P107(f316(f316(f225(a898),x127721),f316(a102,x127721)))),
% 164.10/163.70 inference(rename_variables,[],[3514])).
% 164.10/163.70 cnf(12775,plain,
% 164.10/163.70 (P107(f316(f316(f224(f905(x127751,a895)),x127752),f231(f905(x127751,a895))))),
% 164.10/163.70 inference(rename_variables,[],[3822])).
% 164.10/163.70 cnf(12778,plain,
% 164.10/163.70 (E(f316(f273(x127781,x127781),f252(x127781,x127782)),x127782)),
% 164.10/163.70 inference(rename_variables,[],[3408])).
% 164.10/163.70 cnf(12785,plain,
% 164.10/163.70 (P107(f316(f316(f318(f904(f904(f899(x127851),f899(x127851)),f904(f899(x127851),f899(x127851)))),f566(f296(f904(f899(x127851),f899(x127851)),x127852),f135(x127851,x127853),f904(f899(x127851),f899(x127851)))),f296(f904(f899(x127851),f899(x127851)),x127852)))),
% 164.10/163.70 inference(scs_inference,[],[4097,12724,3681,11335,12392,12495,12498,12592,12634,12638,12646,3690,3697,3417,4608,4609,3317,3320,3321,4607,4589,10414,10424,10437,10448,10451,10555,10558,10561,10663,10798,11108,11301,11304,11327,11330,11527,11628,11635,11649,11695,11698,11731,11746,11809,11868,11884,12178,12203,12217,12246,12252,12346,12458,12627,3502,3649,12150,3368,4595,10647,10747,11211,3058,3060,3061,3064,3065,3067,3068,3071,3072,3073,3079,3083,3084,3086,3091,3092,3101,3104,3105,3112,3118,3123,3126,3127,3131,3137,3156,3163,3201,3206,3207,3215,3222,3224,3226,3230,3244,4587,3778,4003,11915,3294,11625,3408,10486,10489,10582,10585,10901,11640,11643,11757,11796,11801,11910,12364,12568,3379,12659,12663,12667,3385,3394,3898,4200,3513,3284,3643,3989,11671,3345,3280,3307,3758,3303,3292,3293,3910,3327,3505,11058,11185,12459,12678,3378,4071,4602,10477,10644,11524,12619,12660,4605,12631,3438,11997,4632,11237,11340,11580,11583,3550,4611,3342,3343,10547,10877,3602,3262,3364,11661,4214,12649,4073,11257,11396,11455,12603,12609,12735,12738,12768,4650,11160,11409,11518,11544,11588,11594,12545,4651,11290,11412,11521,4652,11415,4653,11473,4654,3363,3641,12501,12542,12630,3804,3590,4485,4486,4600,11654,3741,3953,3999,3627,3881,3514,10566,10686,10764,10837,10840,10880,10980,11227,11845,12094,12174,12239,12317,12355,12430,12433,3891,11901,3431,3526,11730,3703,4626,10454,10457,10483,10607,10782,10988,11003,11118,11566,11664,11844,12065,12070,12293,12296,12376,12548,4638,11773,11804,11841,11848,11881,3878,3650,4021,3474,3476,3450,4623,4597,3830,3634,4639,4207,11541,3763,3486,12018,12021,12466,12572,4630,10442,10445,10615,10710,10729,10736,10759,10767,10770,10787,10973,11214,11435,11724,11818,11966,12083,12086,4176,4135,12167,12516,4082,11055,12349,12526,4130,11263,12389,12465,12525,12571,3805,11852,12177,12324,12397,12449,4164,3822,10610,10707,11260,11345,11428,11492,12345,12411,12683,12745,12765,4642,11006,11420,3447,10575,10673,10823,10887,10962,11009,11012,11043,11066,11102,11140,11179,11969,12015,12147,12202,12220,12223,12226,12229,12404,12418,12421,12424,12427,12509,12575,12694,3448,10602,10658,10892,10983,11105,11749,12048,12051,12062,12153,12164,12183,12188,12232,12255,3449,12436,3522,12381,4622,10494,10523,11027,11069,11078,11929,11950,12121,12124,12127,12130,12216,12235,12238,12251,12305,12308,12311,12314,12477,12480,12578,12581,12687,3597,10752,10843,11113,11157,11399,11402,11481,11563,11734,11980,4634,11036,11149,11170,11173,11240,11243,11254,11361,11369,11383,11423,11440,11449,11489,11530,11535,11538,11557,11560,11597,11602,11605,11608,11611,11851,11994,12027,12299,12302,12336,12382,12407,12554,12600,12606,12706,12709,3507,10874,10904,10913,10916,10919,11510,12728,3546,3539,3957,3896,10526,11904,11932,4631,10474,10862,10865,11364,11380,11867,11920,11954,11981,12080,12109,12112,12115,12118,12375,3468,10907,11063,11133,11933,12079,12277,12485,3920,4255,4628,3931,3965,4614,4617,3424,3428,4616,4615,3753,4349,4644,10773,10776,4649,11246,11249,11443,11554,11571,11617,4039,11614,11953,11957,12637,12645,3886,11176,11182,11200,12199,12329,12410,3737,11318,11446,12442,12551,12561,12642,12697,4212,3888,10910,11279,11452,11486,11497,12641,3598,3704,10826,10829,10922,11089,4647,11898,4648,10666,10779,12504,12513,12557,12759,4310,11046,12522,12537,4218,3919,3864,4645,10499,10502,10868,10871,11770,11958,4646,11878,3889,10832,11095,4150,4661,4687,4742,4746,4770,4785,4792,4794,4830,4835,4864,4870,4956,4982,4983,4998,5024,5052,5053,5076,5077,5091,5095,5120,5126,5142,5146,5147,5148,5153,5154,5177,5202,5204,5205,5215,5220,5226,5262,5263,5271,5279,5283,5285,5299,5302,5308,5313,5314,5327,5333,5336,5337,5341,5369,5384,5393,5395,5396,5399,5400,5401,5411,5413,5419,5420,5421,5427,5431,5432,5433,5441,5445,5446,5452,5465,5473,5486,5488,5496,5498,5499,5502,5506,5533,5547,5548,5563,5575,5597,5603,5627,5628,5631,5650,5658,5659,5664,5665,5675,5677,5690,5694,5703,5704,5706,5707,5723,5728,5737,5738,5749,5756,5770,5774,5777,5783,5784,5785,5788,5793,5829,5830,5833,5835,5837,5839,5840,5841,5843,5845,5847,5852,5859,5874,5888,5895,5896,5908,5919,5920,5927,5931,5933,5938,5946,5984,5998,6007,6010,6019,6023,6024,6025,6026,6027,6032,6037,6047,6053,6071,6075,6084,6113,6129,6155,6172,6173,6176,6191,6193,6195,6197,6212,6213,6216,6218,6221,6222,6239,6247,6248,6249,6251,6253,6290,6291,6296,6299,6305,6309,6343,6345,6347,6349,6359,6361,6364,6370,6372,6377,6380,6388,6396,6398,6399,6406,6429,6430,6431,6432,6433,6435,6441,6446,6480,6481,6484,6485,6486,6488,6489,6490,6491,6498,6533,6534,6543,6564,6565,6589,6591,6603,6604,6610,6640,6642,6657,6698,6700,6701,6757,6780,6823,6838,6846,6855,6856,6857,6858,6878,6879,6886,6898,6901,6903,6905,6906,6907,6909,6923,6934,6935,6936,6949,7003,7014,7016,7038,7039,7075,7082,7089,7119,7150,7206,7235,7292,7313,7322,7325,7385,7395,7457,7459,7473,7482,7483,7484,7501,7505,7507,7554,7564,7567,7582,7629,7631,7634,7678,7679,7697,7767,7785,7809,7833,7845,7859,7870,7881,7882,7908,7910,7912,7923,7963,7974,7999,8026,8058,8089,8123,8162,8178,8180,8196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% 164.10/163.70 cnf(12789,plain,
% 164.10/163.70 (~P107(f316(f316(f318(x127891),x127892),f178(f905(x127891,a895))))),
% 164.10/163.70 inference(rename_variables,[],[4634])).
% 164.10/163.70 cnf(12790,plain,
% 164.10/163.70 (P107(f316(f316(f318(f904(f899(x127901),f899(x127901))),f316(f316(f241(f899(x127901),f899(x127901)),f103(x127901)),f103(x127901))),f148(x127901,x127902)))),
% 164.10/163.70 inference(rename_variables,[],[4214])).
% 164.10/163.70 cnf(12792,plain,
% 164.10/163.70 (P107(f316(f316(f318(f904(a898,a898)),f316(f316(f241(a898,a898),f2(a898)),f316(a102,f2(a898)))),f316(f316(f278(a898,a898,a898),f296(a898,a306)),f296(a898,f296(a898,a306)))))),
% 164.10/163.70 inference(scs_inference,[],[4097,12724,3681,11335,12392,12495,12498,12592,12634,12638,12646,3690,3697,3417,4608,4609,3317,3320,3321,4607,4589,10414,10424,10437,10448,10451,10555,10558,10561,10663,10798,11108,11301,11304,11327,11330,11527,11628,11635,11649,11695,11698,11731,11746,11809,11868,11884,12178,12203,12217,12246,12252,12346,12458,12627,3502,3649,12150,3368,4595,10647,10747,11211,3058,3060,3061,3064,3065,3067,3068,3071,3072,3073,3079,3083,3084,3086,3091,3092,3101,3104,3105,3112,3118,3123,3126,3127,3131,3137,3156,3163,3201,3206,3207,3215,3222,3224,3226,3230,3244,4587,3778,4003,11915,3294,11625,3408,10486,10489,10582,10585,10901,11640,11643,11757,11796,11801,11910,12364,12568,3379,12659,12663,12667,3385,3394,3898,4200,3513,3284,3643,3989,11671,3345,3280,3307,3758,3303,3292,3293,3910,3327,3505,11058,11185,12459,12678,3378,4071,4602,10477,10644,11524,12619,12660,4605,12631,3438,11997,4632,11237,11340,11580,11583,3550,4611,3342,3343,10547,10877,3602,3262,3364,11661,4214,12649,4073,11257,11396,11455,12603,12609,12735,12738,12768,4650,11160,11409,11518,11544,11588,11594,12545,4651,11290,11412,11521,4652,11415,4653,11473,4654,3363,3641,12501,12542,12630,3804,3590,4485,4486,4600,11654,3741,3953,3999,3627,3881,3514,10566,10686,10764,10837,10840,10880,10980,11227,11845,12094,12174,12239,12317,12355,12430,12433,3891,11901,3431,3526,11730,3703,4626,10454,10457,10483,10607,10782,10988,11003,11118,11566,11664,11844,12065,12070,12293,12296,12376,12548,4638,11773,11804,11841,11848,11881,3878,3650,4021,3474,3476,3450,4623,4597,3830,3634,4639,4207,11541,3763,3486,12018,12021,12466,12572,4630,10442,10445,10615,10710,10729,10736,10759,10767,10770,10787,10973,11214,11435,11724,11818,11966,12083,12086,4176,4135,12167,12516,4082,11055,12349,12526,4130,11263,12389,12465,12525,12571,3805,11852,12177,12324,12397,12449,4164,3822,10610,10707,11260,11345,11428,11492,12345,12411,12683,12745,12765,4642,11006,11420,3447,10575,10673,10823,10887,10962,11009,11012,11043,11066,11102,11140,11179,11969,12015,12147,12202,12220,12223,12226,12229,12404,12418,12421,12424,12427,12509,12575,12694,3448,10602,10658,10892,10983,11105,11749,12048,12051,12062,12153,12164,12183,12188,12232,12255,3449,12436,3522,12381,4622,10494,10523,11027,11069,11078,11929,11950,12121,12124,12127,12130,12216,12235,12238,12251,12305,12308,12311,12314,12477,12480,12578,12581,12687,3597,10752,10843,11113,11157,11399,11402,11481,11563,11734,11980,4634,11036,11149,11170,11173,11240,11243,11254,11361,11369,11383,11423,11440,11449,11489,11530,11535,11538,11557,11560,11597,11602,11605,11608,11611,11851,11994,12027,12299,12302,12336,12382,12407,12554,12600,12606,12706,12709,12731,3507,10874,10904,10913,10916,10919,11510,12728,3546,3539,3957,3896,10526,11904,11932,4631,10474,10862,10865,11364,11380,11867,11920,11954,11981,12080,12109,12112,12115,12118,12375,3468,10907,11063,11133,11933,12079,12277,12485,3920,4255,4628,3931,3965,4614,4617,3424,3428,4616,4615,3753,4349,4644,10773,10776,4649,11246,11249,11443,11554,11571,11617,4039,11614,11953,11957,12637,12645,3886,11176,11182,11200,12199,12329,12410,3737,11318,11446,12442,12551,12561,12642,12697,4212,3888,10910,11279,11452,11486,11497,12641,3598,3704,10826,10829,10922,11089,4647,11898,4648,10666,10779,12504,12513,12557,12759,4310,11046,12522,12537,4218,3919,3864,4645,10499,10502,10868,10871,11770,11958,4646,11878,3889,10832,11095,4150,4661,4687,4742,4746,4770,4785,4792,4794,4830,4835,4864,4870,4956,4982,4983,4998,5024,5052,5053,5076,5077,5091,5095,5120,5126,5142,5146,5147,5148,5153,5154,5177,5202,5204,5205,5215,5220,5226,5262,5263,5271,5279,5283,5285,5299,5302,5308,5313,5314,5327,5333,5336,5337,5341,5369,5384,5393,5395,5396,5399,5400,5401,5411,5413,5419,5420,5421,5427,5431,5432,5433,5441,5445,5446,5452,5465,5473,5486,5488,5496,5498,5499,5502,5506,5533,5547,5548,5563,5575,5597,5603,5627,5628,5631,5650,5658,5659,5664,5665,5675,5677,5690,5694,5703,5704,5706,5707,5723,5728,5737,5738,5749,5756,5770,5774,5777,5783,5784,5785,5788,5793,5829,5830,5833,5835,5837,5839,5840,5841,5843,5845,5847,5852,5859,5874,5888,5895,5896,5908,5919,5920,5927,5931,5933,5938,5946,5984,5998,6007,6010,6019,6023,6024,6025,6026,6027,6032,6037,6047,6053,6071,6075,6084,6113,6129,6155,6172,6173,6176,6191,6193,6195,6197,6212,6213,6216,6218,6221,6222,6239,6247,6248,6249,6251,6253,6290,6291,6296,6299,6305,6309,6343,6345,6347,6349,6359,6361,6364,6370,6372,6377,6380,6388,6396,6398,6399,6406,6429,6430,6431,6432,6433,6435,6441,6446,6480,6481,6484,6485,6486,6488,6489,6490,6491,6498,6533,6534,6543,6564,6565,6589,6591,6603,6604,6610,6640,6642,6657,6698,6700,6701,6757,6780,6823,6838,6846,6855,6856,6857,6858,6878,6879,6886,6898,6901,6903,6905,6906,6907,6909,6923,6934,6935,6936,6949,7003,7014,7016,7038,7039,7075,7082,7089,7119,7150,7206,7235,7292,7313,7322,7325,7385,7395,7457,7459,7473,7482,7483,7484,7501,7505,7507,7554,7564,7567,7582,7629,7631,7634,7678,7679,7697,7767,7785,7809,7833,7845,7859,7870,7881,7882,7908,7910,7912,7923,7963,7974,7999,8026,8058,8089,8123,8162,8178,818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% 164.10/163.70 cnf(12795,plain,
% 164.10/163.70 (~P107(f316(f316(f318(x127951),x127952),f178(f905(x127951,a895))))),
% 164.10/163.70 inference(rename_variables,[],[4634])).
% 164.10/163.70 cnf(12800,plain,
% 164.10/163.70 (P30(x128001,x128002,f103(x128001))),
% 164.10/163.70 inference(rename_variables,[],[3384])).
% 164.10/163.70 cnf(12803,plain,
% 164.10/163.70 (E(f316(f179(f899(x128031)),f159(x128031,x128032,x128033)),x128032)),
% 164.10/163.70 inference(rename_variables,[],[3513])).
% 164.10/163.70 cnf(12806,plain,
% 164.10/163.70 (~P107(f316(f316(f318(x128061),x128062),f178(f905(x128061,a895))))),
% 164.10/163.70 inference(rename_variables,[],[4634])).
% 164.10/163.70 cnf(12810,plain,
% 164.10/163.70 (~P107(f316(f316(f318(f904(f899(x128101),f899(x128101))),f316(f316(f241(f899(x128101),f899(x128101)),x128102),x128102)),f137(x128101,f143(x128101,f103(f905(x128101,a898))))))),
% 164.10/163.70 inference(scs_inference,[],[4097,12724,3681,11335,12392,12495,12498,12592,12634,12638,12646,3690,3697,3417,3384,4608,4609,3317,3320,3321,4607,4589,10414,10424,10437,10448,10451,10555,10558,10561,10663,10798,11108,11301,11304,11327,11330,11527,11628,11635,11649,11695,11698,11731,11746,11809,11868,11884,12178,12203,12217,12246,12252,12346,12458,12627,3502,3649,12150,3368,4595,10647,10747,11211,3058,3060,3061,3064,3065,3067,3068,3071,3072,3073,3079,3083,3084,3086,3091,3092,3101,3104,3105,3112,3118,3123,3126,3127,3131,3137,3156,3163,3201,3206,3207,3215,3222,3224,3226,3230,3244,4587,3778,4003,11915,3294,11625,3408,10486,10489,10582,10585,10901,11640,11643,11757,11796,11801,11910,12364,12568,3379,12659,12663,12667,3385,3394,3898,4200,3513,12721,3284,3643,3989,11671,3345,3280,3307,3758,3303,3292,3293,3910,3327,3505,11058,11185,12459,12678,3378,4071,4602,10477,10644,11524,12619,12660,4605,12631,3438,11997,4632,11237,11340,11580,11583,3550,4611,3342,3343,10547,10877,3602,3262,3364,11661,4214,12649,12790,4073,11257,11396,11455,12603,12609,12735,12738,12768,4650,11160,11409,11518,11544,11588,11594,12545,4651,11290,11412,11521,4652,11415,4653,11473,4654,3363,3641,12501,12542,12630,3804,3590,4485,4486,4600,11654,3741,3953,3999,3627,3881,3514,10566,10686,10764,10837,10840,10880,10980,11227,11845,12094,12174,12239,12317,12355,12430,12433,3891,11901,3431,3526,11730,3703,4626,10454,10457,10483,10607,10782,10988,11003,11118,11566,11664,11844,12065,12070,12293,12296,12376,12548,4638,11773,11804,11841,11848,11881,3878,3650,4021,3474,3476,3450,4623,4597,3830,3634,4639,4207,11541,3763,3486,12018,12021,12466,12572,4630,10442,10445,10615,10710,10729,10736,10759,10767,10770,10787,10973,11214,11435,11724,11818,11966,12083,12086,4176,4135,12167,12516,4082,11055,12349,12526,4130,11263,12389,12465,12525,12571,3805,11852,12177,12324,12397,12449,4164,3822,10610,10707,11260,11345,11428,11492,12345,12411,12683,12745,12765,4642,11006,11420,3447,10575,10673,10823,10887,10962,11009,11012,11043,11066,11102,11140,11179,11969,12015,12147,12202,12220,12223,12226,12229,12404,12418,12421,12424,12427,12509,12575,12694,3448,10602,10658,10892,10983,11105,11749,12048,12051,12062,12153,12164,12183,12188,12232,12255,3449,12436,3522,12381,4622,10494,10523,11027,11069,11078,11929,11950,12121,12124,12127,12130,12216,12235,12238,12251,12305,12308,12311,12314,12477,12480,12578,12581,12687,12727,3597,10752,10843,11113,11157,11399,11402,11481,11563,11734,11980,4634,11036,11149,11170,11173,11240,11243,11254,11361,11369,11383,11423,11440,11449,11489,11530,11535,11538,11557,11560,11597,11602,11605,11608,11611,11851,11994,12027,12299,12302,12336,12382,12407,12554,12600,12606,12706,12709,12731,12789,12795,3507,10874,10904,10913,10916,10919,11510,12728,3546,3539,3957,3896,10526,11904,11932,4631,10474,10862,10865,11364,11380,11867,11920,11954,11981,12080,12109,12112,12115,12118,12375,3468,10907,11063,11133,11933,12079,12277,12485,3920,4255,4628,3931,3965,4614,4617,3424,3428,4616,4615,3753,4349,11756,4644,10773,10776,4649,11246,11249,11443,11554,11571,11617,4039,11614,11953,11957,12637,12645,3886,11176,11182,11200,12199,12329,12410,3737,11318,11446,12442,12551,12561,12642,12697,4212,3888,10910,11279,11452,11486,11497,12641,3598,3704,10826,10829,10922,11089,4647,11898,4648,10666,10779,12504,12513,12557,12759,4310,11046,12522,12537,4218,3919,3864,4645,10499,10502,10868,10871,11770,11958,4646,11878,3889,10832,11095,4150,4661,4687,4742,4746,4770,4785,4792,4794,4830,4835,4864,4870,4956,4982,4983,4998,5024,5052,5053,5076,5077,5091,5095,5120,5126,5142,5146,5147,5148,5153,5154,5177,5202,5204,5205,5215,5220,5226,5262,5263,5271,5279,5283,5285,5299,5302,5308,5313,5314,5327,5333,5336,5337,5341,5369,5384,5393,5395,5396,5399,5400,5401,5411,5413,5419,5420,5421,5427,5431,5432,5433,5441,5445,5446,5452,5465,5473,5486,5488,5496,5498,5499,5502,5506,5533,5547,5548,5563,5575,5597,5603,5627,5628,5631,5650,5658,5659,5664,5665,5675,5677,5690,5694,5703,5704,5706,5707,5723,5728,5737,5738,5749,5756,5770,5774,5777,5783,5784,5785,5788,5793,5829,5830,5833,5835,5837,5839,5840,5841,5843,5845,5847,5852,5859,5874,5888,5895,5896,5908,5919,5920,5927,5931,5933,5938,5946,5984,5998,6007,6010,6019,6023,6024,6025,6026,6027,6032,6037,6047,6053,6071,6075,6084,6113,6129,6155,6172,6173,6176,6191,6193,6195,6197,6212,6213,6216,6218,6221,6222,6239,6247,6248,6249,6251,6253,6290,6291,6296,6299,6305,6309,6343,6345,6347,6349,6359,6361,6364,6370,6372,6377,6380,6388,6396,6398,6399,6406,6429,6430,6431,6432,6433,6435,6441,6446,6480,6481,6484,6485,6486,6488,6489,6490,6491,6498,6533,6534,6543,6564,6565,6589,6591,6603,6604,6610,6640,6642,6657,6698,6700,6701,6757,6780,6823,6838,6846,6855,6856,6857,6858,6878,6879,6886,6898,6901,6903,6905,6906,6907,6909,6923,6934,6935,6936,6949,7003,7014,7016,7038,7039,7075,7082,7089,7119,7150,7206,7235,7292,7313,7322,7325,7385,7395,7457,7459,7473,7482,7483,7484,7501,7505,7507,7554,7564,7567,7582,7629,7631,7634,7678,7679,7697,7767,7785,7809,7833,7845,7859,7870,7881,7882,7908,7910,7912,7923,7963,7974,7999,8026,8058,8089,8123,8162,8178,8180,8196,8197,8263,8274,8339,8363,8383,8410,8449,8450,8467,8507,8509,8511,8517,8532,8536,8551,8572,8580,8582,8592,8597,8601,8602,8603,8604,8605,8606,8625,8639,8640,8658,8660,8664,8665,8666,8667,8668,8688,8689,8690,8700,8713,8716,8728,8733,8735,8737,8738,8739,8746,8747,8753,8761,8764,8781,8782,8784,8792,8793,8801,8820,8833,8837,8858,8880,8881,8884,8885,8891,8900,8901,8924,8935,8945,8946,8947,8950,8973,8974,8985,9034,9040,9046,9048,9064,9067,9078,9079,9080,9091,9155,9186,9187,9188,9203,9220,9228,9256,9257,9326,9359,9365,9375,9376,9377,9386,9416,9432,9436,9440,9462,9463,9490,9552,9557,9560,9597,9598,9599,9627,9628,9644,9665,9671,9683,9708,9729,9738,9739,9740,9741,9756,9758,9763,9793,9794,9800,9801,9847,9848,9859,9860,9884,9903,9905,9906,9914,9919,9926,9950,9985,9987,9991,10041,10077,10087,10089,10093,10094,10096,10105,10106,10126,10131,10225,10318,10319,10320,10321,10380,10398,2,8,9,4674,4675,4693,4735,4736,4738,4761,4763,4764,4774,4819,4821,4869,4999,5000,5017,5041,5098,5099,5105,5106,5108,5110,5119,5122,5123,5131,5144,5145,5151,5172,5173,5191,5196,5197,5198,5199,5203,5211,5214,5221,5276,5281,5282,5287,5293,5324,5334,5339,5349,5366,5368,5375,5376,5378,5389,5407,5409,5410,5417,5424,5425,5437,5438,5439,5440,5442,5443,5448,5449,5450,5451,5482,5483,5484,5492,5493,5494,5495,5539,5544,5546,5582,5584,5585,5587,5588,5590,5591,5593,5602,5607,5609,5610,5611,5613,5615,5616,5617,5618,5619,5620,5629,5639,5642,5653,5669,5670,5673,5683,5686,5687,5688,5715,5725,5740,5741,5750,5751,5753,5755,5760,5795,5800,5802,5861,5897,5898,5912,5918,5921,5922,5923,5924,5943,5947,5948,5957,5979,6011,6030,6031,6035,6036,6038,6063,6064,6065,6069,6070,6086,6097,6098,6131,6132,6136,6157,6160,6163,6185,6186,6214,6217,6226,6235,6237,6246,6250,6258,6259,6260,6261,6293,6310,6363,6400,6402,6403,6426,6427,6434,6438,6439,6442,6456,6472,6493,6494,6499,6510,6513,6526,6546,6552,6554,6569,6570,6573,6574,6576,6578,6579,6580,6582,6584,6590,6596,6597,6599,6600,6606,6608,6650,6656,6671,6675,6676,6677,6711,6716,6718,6723,6724,6734,6738,6752,6775,6776,6778,6779,6790,6796,6815,6818,6839,6859,6872,6873,6874,6880,6894,6913,6915,6917,6919,6924,6930,6932,6946,6951,6952,6989,6990,6991,7005,7006,7008,7009,7028,7030,7045,7073,7097,7108,7110,7112,7114,7115,7147,7148,7149,7153,7154,7161,7162,7164,7166,7188,7197,7198,7209,7219,7259,7269,7275,7282,7293,7298,7300,7307,7316,7329,7346,7367,7369,7388,7442,7443,7444,7446,7448,7452,7453,7458,7522,7550,7565,7581,7612,7616,7637,7662,7680,7683,7684,7694,7714,7716,7718,7720,7721,7722,7723,7724,7749,7775,7776,7808,7810,7811,7812,7818,7839,7856,7861,7867,7869,7877,7889,7890,7892,7913,7921,7942,8012,8013,8014,8061,8067,8068,8092,8093,8110,8111,8112,8169,8170,8199,8229,8238,8251,8266,8295,8299,8305,8317,8335,8340,8362,8375,8408,8437,8451,8471,8474,8500,8525,8583,8584,8587,8588,8656,8692,8693,8694,8695,8723,8756,8786,8794,8795,8836,8857,8902,8918,8964,8967,8982,8989,9031,9074,9075,9093,9094,9108,9225,9230,9234,9254,9265,9288,9290,9293,9299,9301,9302,9313,9314,9333,9339,9350,9358,9402,9420,9475,9476,9482,9521,9544,9549,9589,9603,9607,9608,9612,9613,9626,9649,9664,9673,9674,9676,9678,9707,9828,9829,9879,9880,9920,9955,10066])).
% 164.10/163.70 cnf(12812,plain,
% 164.10/163.70 (~P107(f316(f316(f225(a898),x128121),x128121))),
% 164.10/163.70 inference(rename_variables,[],[4622])).
% 164.10/163.70 cnf(12814,plain,
% 164.10/163.70 (P107(f316(f316(f318(f904(f899(x128141),f899(x128141))),f316(f316(f241(f899(x128141),f899(x128141)),f159(x128141,f316(f179(f899(x128141)),x128142),x128143)),x128142)),f148(x128141,f231(f905(f904(x128141,x128141),a895)))))),
% 164.10/163.70 inference(scs_inference,[],[4097,12724,3681,11335,12392,12495,12498,12592,12634,12638,12646,3690,3697,3417,3384,4608,4609,3317,3320,3321,4607,4589,10414,10424,10437,10448,10451,10555,10558,10561,10663,10798,11108,11301,11304,11327,11330,11527,11628,11635,11649,11695,11698,11731,11746,11809,11868,11884,12178,12203,12217,12246,12252,12346,12458,12627,3502,3649,12150,3368,4595,10647,10747,11211,3058,3060,3061,3064,3065,3067,3068,3071,3072,3073,3079,3083,3084,3086,3091,3092,3101,3104,3105,3112,3118,3123,3126,3127,3131,3137,3156,3163,3201,3206,3207,3215,3222,3224,3226,3230,3244,4587,3778,4003,11915,3294,11625,3408,10486,10489,10582,10585,10901,11640,11643,11757,11796,11801,11910,12364,12568,3379,12659,12663,12667,3385,3394,3898,4200,3513,12721,12803,3284,3643,3989,11671,3345,3280,3307,3758,3303,3292,3293,3910,3327,3505,11058,11185,12459,12678,3378,4071,4602,10477,10644,11524,12619,12660,4605,12631,3438,11997,4632,11237,11340,11580,11583,3550,4611,3342,3343,10547,10877,3602,3262,3364,11661,4214,12649,12790,4073,11257,11396,11455,12603,12609,12735,12738,12768,4650,11160,11409,11518,11544,11588,11594,12545,4651,11290,11412,11521,4652,11415,4653,11473,4654,3363,3641,12501,12542,12630,3804,3590,4485,4486,4600,11654,3741,3953,3999,3627,3881,3514,10566,10686,10764,10837,10840,10880,10980,11227,11845,12094,12174,12239,12317,12355,12430,12433,3891,11901,3431,3526,11730,3703,4626,10454,10457,10483,10607,10782,10988,11003,11118,11566,11664,11844,12065,12070,12293,12296,12376,12548,4638,11773,11804,11841,11848,11881,3878,3650,4021,3474,3476,3450,4623,4597,3830,3634,4639,4207,11541,3763,3486,12018,12021,12466,12572,4630,10442,10445,10615,10710,10729,10736,10759,10767,10770,10787,10973,11214,11435,11724,11818,11966,12083,12086,4176,4135,12167,12516,4082,11055,12349,12526,4130,11263,12389,12465,12525,12571,3805,11852,12177,12324,12397,12449,4164,3822,10610,10707,11260,11345,11428,11492,12345,12411,12683,12745,12765,4642,11006,11420,3447,10575,10673,10823,10887,10962,11009,11012,11043,11066,11102,11140,11179,11969,12015,12147,12202,12220,12223,12226,12229,12404,12418,12421,12424,12427,12509,12575,12694,3448,10602,10658,10892,10983,11105,11749,12048,12051,12062,12153,12164,12183,12188,12232,12255,3449,12436,3522,12381,4622,10494,10523,11027,11069,11078,11929,11950,12121,12124,12127,12130,12216,12235,12238,12251,12305,12308,12311,12314,12477,12480,12578,12581,12687,12727,3597,10752,10843,11113,11157,11399,11402,11481,11563,11734,11980,12626,4634,11036,11149,11170,11173,11240,11243,11254,11361,11369,11383,11423,11440,11449,11489,11530,11535,11538,11557,11560,11597,11602,11605,11608,11611,11851,11994,12027,12299,12302,12336,12382,12407,12554,12600,12606,12706,12709,12731,12789,12795,3507,10874,10904,10913,10916,10919,11510,12728,3546,3539,3957,3896,10526,11904,11932,4631,10474,10862,10865,11364,11380,11867,11920,11954,11981,12080,12109,12112,12115,12118,12375,3468,10907,11063,11133,11933,12079,12277,12485,3920,4255,4628,3931,3965,4614,4617,3424,3428,4616,4615,3753,4349,11756,4644,10773,10776,4649,11246,11249,11443,11554,11571,11617,4039,11614,11953,11957,12637,12645,3886,11176,11182,11200,12199,12329,12410,3737,11318,11446,12442,12551,12561,12642,12697,4212,3888,10910,11279,11452,11486,11497,12641,3598,3704,10826,10829,10922,11089,4647,11898,4648,10666,10779,12504,12513,12557,12759,4310,11046,12522,12537,4218,3919,3864,4645,10499,10502,10868,10871,11770,11958,4646,11878,3889,10832,11095,4150,4661,4687,4742,4746,4770,4785,4792,4794,4830,4835,4864,4870,4956,4982,4983,4998,5024,5052,5053,5076,5077,5091,5095,5120,5126,5142,5146,5147,5148,5153,5154,5177,5202,5204,5205,5215,5220,5226,5262,5263,5271,5279,5283,5285,5299,5302,5308,5313,5314,5327,5333,5336,5337,5341,5369,5384,5393,5395,5396,5399,5400,5401,5411,5413,5419,5420,5421,5427,5431,5432,5433,5441,5445,5446,5452,5465,5473,5486,5488,5496,5498,5499,5502,5506,5533,5547,5548,5563,5575,5597,5603,5627,5628,5631,5650,5658,5659,5664,5665,5675,5677,5690,5694,5703,5704,5706,5707,5723,5728,5737,5738,5749,5756,5770,5774,5777,5783,5784,5785,5788,5793,5829,5830,5833,5835,5837,5839,5840,5841,5843,5845,5847,5852,5859,5874,5888,5895,5896,5908,5919,5920,5927,5931,5933,5938,5946,5984,5998,6007,6010,6019,6023,6024,6025,6026,6027,6032,6037,6047,6053,6071,6075,6084,6113,6129,6155,6172,6173,6176,6191,6193,6195,6197,6212,6213,6216,6218,6221,6222,6239,6247,6248,6249,6251,6253,6290,6291,6296,6299,6305,6309,6343,6345,6347,6349,6359,6361,6364,6370,6372,6377,6380,6388,6396,6398,6399,6406,6429,6430,6431,6432,6433,6435,6441,6446,6480,6481,6484,6485,6486,6488,6489,6490,6491,6498,6533,6534,6543,6564,6565,6589,6591,6603,6604,6610,6640,6642,6657,6698,6700,6701,6757,6780,6823,6838,6846,6855,6856,6857,6858,6878,6879,6886,6898,6901,6903,6905,6906,6907,6909,6923,6934,6935,6936,6949,7003,7014,7016,7038,7039,7075,7082,7089,7119,7150,7206,7235,7292,7313,7322,7325,7385,7395,7457,7459,7473,7482,7483,7484,7501,7505,7507,7554,7564,7567,7582,7629,7631,7634,7678,7679,7697,7767,7785,7809,7833,7845,7859,7870,7881,7882,7908,7910,7912,7923,7963,7974,7999,8026,8058,8089,8123,8162,8178,8180,8196,8197,8263,8274,8339,8363,8383,8410,8449,8450,8467,8507,8509,8511,8517,8532,8536,8551,8572,8580,8582,8592,8597,8601,8602,8603,8604,8605,8606,8625,8639,8640,8658,8660,8664,8665,8666,8667,8668,8688,8689,8690,8700,8713,8716,8728,8733,8735,8737,8738,8739,8746,8747,8753,8761,8764,8781,8782,8784,8792,8793,8801,8820,8833,8837,8858,8880,8881,8884,8885,8891,8900,8901,8924,8935,8945,8946,8947,8950,8973,8974,8985,9034,9040,9046,9048,9064,9067,9078,9079,9080,9091,9155,9186,9187,9188,9203,9220,9228,9256,9257,9326,9359,9365,9375,9376,9377,9386,9416,9432,9436,9440,9462,9463,9490,9552,9557,9560,9597,9598,9599,9627,9628,9644,9665,9671,9683,9708,9729,9738,9739,9740,9741,9756,9758,9763,9793,9794,9800,9801,9847,9848,9859,9860,9884,9903,9905,9906,9914,9919,9926,9950,9985,9987,9991,10041,10077,10087,10089,10093,10094,10096,10105,10106,10126,10131,10225,10318,10319,10320,10321,10380,10398,2,8,9,4674,4675,4693,4735,4736,4738,4761,4763,4764,4774,4819,4821,4869,4999,5000,5017,5041,5098,5099,5105,5106,5108,5110,5119,5122,5123,5131,5144,5145,5151,5172,5173,5191,5196,5197,5198,5199,5203,5211,5214,5221,5276,5281,5282,5287,5293,5324,5334,5339,5349,5366,5368,5375,5376,5378,5389,5407,5409,5410,5417,5424,5425,5437,5438,5439,5440,5442,5443,5448,5449,5450,5451,5482,5483,5484,5492,5493,5494,5495,5539,5544,5546,5582,5584,5585,5587,5588,5590,5591,5593,5602,5607,5609,5610,5611,5613,5615,5616,5617,5618,5619,5620,5629,5639,5642,5653,5669,5670,5673,5683,5686,5687,5688,5715,5725,5740,5741,5750,5751,5753,5755,5760,5795,5800,5802,5861,5897,5898,5912,5918,5921,5922,5923,5924,5943,5947,5948,5957,5979,6011,6030,6031,6035,6036,6038,6063,6064,6065,6069,6070,6086,6097,6098,6131,6132,6136,6157,6160,6163,6185,6186,6214,6217,6226,6235,6237,6246,6250,6258,6259,6260,6261,6293,6310,6363,6400,6402,6403,6426,6427,6434,6438,6439,6442,6456,6472,6493,6494,6499,6510,6513,6526,6546,6552,6554,6569,6570,6573,6574,6576,6578,6579,6580,6582,6584,6590,6596,6597,6599,6600,6606,6608,6650,6656,6671,6675,6676,6677,6711,6716,6718,6723,6724,6734,6738,6752,6775,6776,6778,6779,6790,6796,6815,6818,6839,6859,6872,6873,6874,6880,6894,6913,6915,6917,6919,6924,6930,6932,6946,6951,6952,6989,6990,6991,7005,7006,7008,7009,7028,7030,7045,7073,7097,7108,7110,7112,7114,7115,7147,7148,7149,7153,7154,7161,7162,7164,7166,7188,7197,7198,7209,7219,7259,7269,7275,7282,7293,7298,7300,7307,7316,7329,7346,7367,7369,7388,7442,7443,7444,7446,7448,7452,7453,7458,7522,7550,7565,7581,7612,7616,7637,7662,7680,7683,7684,7694,7714,7716,7718,7720,7721,7722,7723,7724,7749,7775,7776,7808,7810,7811,7812,7818,7839,7856,7861,7867,7869,7877,7889,7890,7892,7913,7921,7942,8012,8013,8014,8061,8067,8068,8092,8093,8110,8111,8112,8169,8170,8199,8229,8238,8251,8266,8295,8299,8305,8317,8335,8340,8362,8375,8408,8437,8451,8471,8474,8500,8525,8583,8584,8587,8588,8656,8692,8693,8694,8695,8723,8756,8786,8794,8795,8836,8857,8902,8918,8964,8967,8982,8989,9031,9074,9075,9093,9094,9108,9225,9230,9234,9254,9265,9288,9290,9293,9299,9301,9302,9313,9314,9333,9339,9350,9358,9402,9420,9475,9476,9482,9521,9544,9549,9589,9603,9607,9608,9612,9613,9626,9649,9664,9673,9674,9676,9678,9707,9828,9829,9879,9880,9920,9955,10066,10135])).
% 164.10/163.70 cnf(12815,plain,
% 164.10/163.70 (P107(f316(f316(f318(x128151),x128152),f231(f905(x128151,a895))))),
% 164.10/163.70 inference(rename_variables,[],[3597])).
% 164.10/163.70 cnf(12819,plain,
% 164.10/163.70 (P107(f316(f316(f224(f905(x128191,a895)),x128192),x128192))),
% 164.10/163.70 inference(rename_variables,[],[3737])).
% 164.10/163.70 cnf(12822,plain,
% 164.10/163.70 (~P107(f316(f316(f318(x128221),x128222),f178(f905(x128221,a895))))),
% 164.10/163.70 inference(rename_variables,[],[4634])).
% 164.10/163.70 cnf(12825,plain,
% 164.10/163.70 (P107(f316(f316(f224(a1),f2(a1)),f316(f316(f233(a1),f316(f69(a1),x128251)),x128252)))),
% 164.10/163.70 inference(rename_variables,[],[3919])).
% 164.10/163.70 cnf(12828,plain,
% 164.10/163.70 (~E(f316(a102,x128281),x128281)),
% 164.10/163.70 inference(rename_variables,[],[4589])).
% 164.10/163.70 cnf(12830,plain,
% 164.10/163.70 (E(f316(f273(x128301,x128301),f252(x128301,x128302)),x128302)),
% 164.10/163.70 inference(rename_variables,[],[3408])).
% 164.10/163.70 cnf(12832,plain,
% 164.10/163.70 (E(f316(f273(x128321,x128321),f252(x128321,x128322)),x128322)),
% 164.10/163.70 inference(rename_variables,[],[3408])).
% 164.10/163.70 cnf(12836,plain,
% 164.10/163.70 (E(f178(f905(f904(x128361,x128361),a895)),f252(x128361,f178(f905(x128361,a895))))),
% 164.10/163.70 inference(rename_variables,[],[3517])).
% 164.10/163.70 cnf(12838,plain,
% 164.10/163.70 (E(f178(f905(f904(x128381,x128381),a895)),f252(x128381,f178(f905(x128381,a895))))),
% 164.10/163.70 inference(rename_variables,[],[3517])).
% 164.10/163.70 cnf(12840,plain,
% 164.10/163.70 (E(f316(f273(x128401,x128401),f252(x128401,x128402)),x128402)),
% 164.10/163.70 inference(rename_variables,[],[3408])).
% 164.10/163.70 cnf(12848,plain,
% 164.10/163.70 (P22(x128481,x128481,f5(x128481),x128482)),
% 164.10/163.70 inference(rename_variables,[],[3681])).
% 164.10/163.70 cnf(12850,plain,
% 164.10/163.70 (P22(x128501,x128501,f5(x128501),x128502)),
% 164.10/163.70 inference(rename_variables,[],[3681])).
% 164.10/163.70 cnf(12863,plain,
% 164.10/163.70 (E(f316(f273(x128631,x128631),f252(x128631,x128632)),x128632)),
% 164.10/163.70 inference(rename_variables,[],[3408])).
% 164.10/163.70 cnf(12865,plain,
% 164.10/163.70 (E(f316(f273(x128651,x128651),f252(x128651,x128652)),x128652)),
% 164.10/163.70 inference(rename_variables,[],[3408])).
% 164.10/163.70 cnf(12867,plain,
% 164.10/163.70 (E(f316(f273(x128671,x128671),f252(x128671,x128672)),x128672)),
% 164.10/163.70 inference(rename_variables,[],[3408])).
% 164.10/163.70 cnf(12871,plain,
% 164.10/163.70 (E(f316(f273(x128711,x128711),f252(x128711,x128712)),x128712)),
% 164.10/163.70 inference(rename_variables,[],[3408])).
% 164.10/163.70 cnf(12873,plain,
% 164.10/163.70 (P36(x128731,f143(x128731,x128732))),
% 164.10/163.70 inference(rename_variables,[],[3317])).
% 164.10/163.70 cnf(12879,plain,
% 164.10/163.70 (E(f178(f905(f904(x128791,x128791),a895)),f252(x128791,f178(f905(x128791,a895))))),
% 164.10/163.70 inference(rename_variables,[],[3517])).
% 164.10/163.70 cnf(12881,plain,
% 164.10/163.70 (P23(x128811,x128811,f25(x128811),x128812,x128812)),
% 164.10/163.70 inference(rename_variables,[],[4097])).
% 164.10/163.70 cnf(12883,plain,
% 164.10/163.70 (P23(x128831,x128831,f25(x128831),x128832,x128832)),
% 164.10/163.70 inference(rename_variables,[],[4097])).
% 164.10/163.70 cnf(12885,plain,
% 164.10/163.70 (P23(x128851,x128851,f25(x128851),x128852,x128852)),
% 164.10/163.70 inference(rename_variables,[],[4097])).
% 164.10/163.70 cnf(12890,plain,
% 164.10/163.70 (E(f316(f273(x128901,x128901),f252(x128901,x128902)),x128902)),
% 164.10/163.70 inference(rename_variables,[],[3408])).
% 164.10/163.70 cnf(12892,plain,
% 164.10/163.70 (P51(x128921,x128921,f252(x128921,x128922))),
% 164.10/163.70 inference(rename_variables,[],[3417])).
% 164.10/163.70 cnf(12898,plain,
% 164.10/163.70 (E(f316(f273(x128981,x128981),f252(x128981,x128982)),x128982)),
% 164.10/163.70 inference(rename_variables,[],[3408])).
% 164.10/163.70 cnf(12911,plain,
% 164.10/163.70 (P41(x129111,x129112,x129113,x129114,f178(f905(x129111,a895)),x129114)),
% 164.10/163.70 inference(rename_variables,[],[4371])).
% 164.10/163.70 cnf(12922,plain,
% 164.10/163.70 (E(f316(f273(x129221,x129221),f252(x129221,x129222)),x129222)),
% 164.10/163.70 inference(rename_variables,[],[3408])).
% 164.10/163.70 cnf(12924,plain,
% 164.10/163.70 (P37(x129241,f252(x129241,x129242))),
% 164.10/163.70 inference(rename_variables,[],[3318])).
% 164.10/163.70 cnf(12928,plain,
% 164.10/163.70 (P11(x129281,f905(x129281,a895),f298(x129281))),
% 164.10/163.70 inference(rename_variables,[],[3421])).
% 164.10/163.70 cnf(12932,plain,
% 164.10/163.70 (P50(x129321,f252(x129321,x129322))),
% 164.10/163.70 inference(rename_variables,[],[3321])).
% 164.10/163.70 cnf(12937,plain,
% 164.10/163.70 (P52(x129371,x129372,f252(x129371,x129372))),
% 164.10/163.70 inference(rename_variables,[],[3418])).
% 164.10/163.70 cnf(12939,plain,
% 164.10/163.70 (P52(x129391,x129392,f252(x129391,x129392))),
% 164.10/163.70 inference(rename_variables,[],[3418])).
% 164.10/163.70 cnf(12941,plain,
% 164.10/163.70 (P52(x129411,x129412,f252(x129411,x129412))),
% 164.10/163.70 inference(rename_variables,[],[3418])).
% 164.10/163.70 cnf(12945,plain,
% 164.10/163.70 (P31(x129451,x129452,f103(x129451),f103(x129451))),
% 164.10/163.70 inference(rename_variables,[],[3690])).
% 164.10/163.70 cnf(12947,plain,
% 164.10/163.70 (P31(x129471,x129472,f103(x129471),f103(x129471))),
% 164.10/163.70 inference(rename_variables,[],[3690])).
% 164.10/163.70 cnf(12951,plain,
% 164.10/163.70 (P54(x129511,f178(f905(x129511,a895)),x129512)),
% 164.10/163.70 inference(rename_variables,[],[3466])).
% 164.10/163.70 cnf(12976,plain,
% 164.10/163.70 (~P107(f316(f316(f225(a898),x129761),f2(a898)))),
% 164.10/163.70 inference(rename_variables,[],[4626])).
% 164.10/163.70 cnf(12978,plain,
% 164.10/163.70 (P107(f316(f316(f224(a1),a77),f2(a1)))),
% 164.10/163.71 inference(scs_inference,[],[4097,12724,12746,12881,12883,3681,11335,12392,12495,12498,12592,12634,12638,12646,12718,12848,3690,12462,12945,12947,3697,3417,12892,3418,12937,12939,12941,3384,12800,4608,4609,11977,4371,12911,3421,12928,3261,3317,12873,3318,12924,3319,3320,3321,12674,12932,4607,3739,4589,10414,10424,10437,10448,10451,10555,10558,10561,10663,10798,11108,11301,11304,11327,11330,11527,11628,11635,11649,11695,11698,11731,11746,11809,11868,11884,12178,12203,12217,12246,12252,12346,12458,12627,12688,3502,3466,12951,3649,12150,3368,4595,10647,10747,11211,3058,3060,3061,3064,3065,3067,3068,3071,3072,3073,3079,3081,3083,3084,3086,3091,3092,3101,3104,3105,3112,3118,3123,3126,3127,3131,3137,3156,3163,3201,3206,3207,3215,3222,3224,3226,3230,4586,3244,3316,4587,3778,4003,11915,3294,11625,3429,3405,3408,10486,10489,10582,10585,10901,11640,11643,11757,11796,11801,11910,12364,12568,12778,12830,12832,12840,12863,12865,12867,12871,12890,12898,3379,12659,12663,12667,3385,3394,3898,4200,3513,12721,12803,3284,3643,3989,11671,3501,3345,3280,3307,3758,3303,3499,4106,3997,3820,3292,3293,3910,3327,3505,11058,11185,12459,12678,3378,4071,4602,10477,10644,11524,12619,12660,12664,4605,12631,3438,11997,4029,4632,11237,11340,11580,11583,3839,3550,3764,4611,3517,12836,12838,12879,3342,3343,10547,10877,3602,3335,3262,3364,11661,4214,12649,12790,4073,11257,11396,11455,12603,12609,12735,12738,12768,4650,11160,11409,11518,11544,11588,11594,12545,4651,11290,11412,11521,4652,11415,4653,11473,4654,3363,3641,12501,12542,12630,3804,3590,4485,4486,3662,4600,11654,3782,3741,3953,3999,3627,3881,3514,10566,10686,10764,10837,10840,10880,10980,11227,11845,12094,12174,12239,12317,12355,12430,12433,3891,11901,3431,3526,11730,3703,4626,10454,10457,10483,10607,10782,10988,11003,11118,11566,11664,11844,12065,12070,12293,12296,12376,12548,12653,4638,11773,11804,11841,11848,11881,3878,3650,4021,3474,3476,3450,4623,4597,3830,4136,3634,4639,4207,11541,3763,3486,12018,12021,12466,12572,4630,10442,10445,10615,10710,10729,10736,10759,10767,10770,10787,10973,11214,11435,11724,11818,11966,12083,12086,4176,4135,12167,12516,4082,11055,12349,12526,4130,11263,12389,12465,12525,12571,3805,11852,12177,12324,12397,12449,4164,3822,10610,10707,11260,11345,11428,11492,12345,12411,12683,12745,12765,12775,4642,11006,11420,3447,10575,10673,10823,10887,10962,11009,11012,11043,11066,11102,11140,11179,11969,12015,12147,12202,12220,12223,12226,12229,12404,12418,12421,12424,12427,12509,12575,12694,3448,10602,10658,10892,10983,11105,11749,12048,12051,12062,12153,12164,12183,12188,12232,12255,3449,12436,3522,12381,4622,10494,10523,11027,11069,11078,11929,11950,12121,12124,12127,12130,12216,12235,12238,12251,12305,12308,12311,12314,12477,12480,12578,12581,12687,12727,3597,10752,10843,11113,11157,11399,11402,11481,11563,11734,11980,12626,4634,11036,11149,11170,11173,11240,11243,11254,11361,11369,11383,11423,11440,11449,11489,11530,11535,11538,11557,11560,11597,11602,11605,11608,11611,11851,11994,12027,12299,12302,12336,12382,12407,12554,12600,12606,12706,12709,12731,12789,12795,12806,3507,10874,10904,10913,10916,10919,11510,12728,3546,3539,3957,3896,10526,11904,11932,4631,10474,10862,10865,11364,11380,11867,11920,11954,11981,12080,12109,12112,12115,12118,12375,3468,10907,11063,11133,11933,12079,12277,12485,3920,4255,4628,3931,3965,4614,4617,3424,3428,4616,4615,4378,3753,4349,11756,4644,10773,10776,4649,11246,11249,11443,11554,11571,11617,4039,11614,11953,11957,12637,12645,3886,11176,11182,11200,12199,12329,12410,3737,11318,11446,12442,12551,12561,12642,12697,12705,4212,3888,10910,11279,11452,11486,11497,12641,3598,3704,10826,10829,10922,11089,4647,11898,4648,10666,10779,12504,12513,12557,12759,4310,11046,12522,12537,4218,3919,3864,4645,10499,10502,10868,10871,11770,11958,4646,11878,3889,10832,11095,4150,4661,4687,4742,4746,4770,4785,4792,4794,4830,4835,4864,4870,4956,4982,4983,4998,5024,5052,5053,5076,5077,5091,5095,5120,5126,5142,5146,5147,5148,5153,5154,5177,5202,5204,5205,5215,5220,5226,5262,5263,5271,5279,5283,5285,5299,5302,5308,5313,5314,5327,5333,5336,5337,5341,5369,5384,5393,5395,5396,5399,5400,5401,5411,5413,5419,5420,5421,5427,5431,5432,5433,5441,5445,5446,5452,5465,5473,5486,5488,5496,5498,5499,5502,5506,5533,5547,5548,5563,5575,5597,5603,5627,5628,5631,5650,5658,5659,5664,5665,5675,5677,5690,5694,5703,5704,5706,5707,5723,5728,5737,5738,5749,5756,5770,5774,5777,5783,5784,5785,5788,5793,5829,5830,5833,5835,5837,5839,5840,5841,5843,5845,5847,5852,5859,5874,5888,5895,5896,5908,5919,5920,5927,5931,5933,5938,5946,5984,5998,6007,6010,6019,6023,6024,6025,6026,6027,6032,6037,6047,6053,6071,6075,6084,6113,6129,6155,6172,6173,6176,6191,6193,6195,6197,6212,6213,6216,6218,6221,6222,6239,6247,6248,6249,6251,6253,6290,6291,6296,6299,6305,6309,6343,6345,6347,6349,6359,6361,6364,6370,6372,6377,6380,6388,6396,6398,6399,6406,6429,6430,6431,6432,6433,6435,6441,6446,6480,6481,6484,6485,6486,6488,6489,6490,6491,6498,6533,6534,6543,6564,6565,6589,6591,6603,6604,6610,6640,6642,6657,6698,6700,6701,6757,6780,6823,6838,6846,6855,6856,6857,6858,6878,6879,6886,6898,6901,6903,6905,6906,6907,6909,6923,6934,6935,6936,6949,7003,7014,7016,7038,7039,7075,7082,7089,7119,7150,7206,7235,7292,7313,7322,7325,7385,7395,7457,7459,7473,7482,7483,7484,7501,7505,7507,7554,7564,7567,7582,7629,7631,7634,7678,7679,7697,7767,7785,7809,7833,7845,7859,7870,7881,7882,7908,7910,7912,7923,7963,7974,7999,8026,8058,8089,8123,8162,8178,8180,8196,8197,8263,8274,8339,8363,8383,8410,8449,8450,8467,8507,8509,8511,8517,8532,8536,8551,8572,8580,8582,8592,8597,8601,8602,8603,8604,8605,8606,8625,8639,8640,8658,8660,8664,8665,8666,8667,8668,8688,8689,8690,8700,8713,8716,8728,8733,8735,8737,8738,8739,8746,8747,8753,8761,8764,8781,8782,8784,8792,8793,8801,8820,8833,8837,8858,8880,8881,8884,8885,8891,8900,8901,8924,8935,8945,8946,8947,8950,8973,8974,8985,9034,9040,9046,9048,9064,9067,9078,9079,9080,9091,9155,9186,9187,9188,9203,9220,9228,9256,9257,9326,9359,9365,9375,9376,9377,9386,9416,9432,9436,9440,9462,9463,9490,9552,9557,9560,9597,9598,9599,9627,9628,9644,9665,9671,9683,9708,9729,9738,9739,9740,9741,9756,9758,9763,9793,9794,9800,9801,9847,9848,9859,9860,9884,9903,9905,9906,9914,9919,9926,9950,9985,9987,9991,10041,10077,10087,10089,10093,10094,10096,10105,10106,10126,10131,10225,10318,10319,10320,10321,10380,10398,2,8,9,4674,4675,4693,4735,4736,4738,4761,4763,4764,4774,4819,4821,4869,4999,5000,5017,5041,5098,5099,5105,5106,5108,5110,5119,5122,5123,5131,5144,5145,5151,5172,5173,5191,5196,5197,5198,5199,5203,5211,5214,5221,5276,5281,5282,5287,5293,5324,5334,5339,5349,5366,5368,5375,5376,5378,5389,5407,5409,5410,5417,5424,5425,5437,5438,5439,5440,5442,5443,5448,5449,5450,5451,5482,5483,5484,5492,5493,5494,5495,5539,5544,5546,5582,5584,5585,5587,5588,5590,5591,5593,5602,5607,5609,5610,5611,5613,5615,5616,5617,5618,5619,5620,5629,5639,5642,5653,5669,5670,5673,5683,5686,5687,5688,5715,5725,5740,5741,5750,5751,5753,5755,5760,5795,5800,5802,5861,5897,5898,5912,5918,5921,5922,5923,5924,5943,5947,5948,5957,5979,6011,6030,6031,6035,6036,6038,6063,6064,6065,6069,6070,6086,6097,6098,6131,6132,6136,6157,6160,6163,6185,6186,6214,6217,6226,6235,6237,6246,6250,6258,6259,6260,6261,6293,6310,6363,6400,6402,6403,6426,6427,6434,6438,6439,6442,6456,6472,6493,6494,6499,6510,6513,6526,6546,6552,6554,6569,6570,6573,6574,6576,6578,6579,6580,6582,6584,6590,6596,6597,6599,6600,6606,6608,6650,6656,6671,6675,6676,6677,6711,6716,6718,6723,6724,6734,6738,6752,6775,6776,6778,6779,6790,6796,6815,6818,6839,6859,6872,6873,6874,6880,6894,6913,6915,6917,6919,6924,6930,6932,6946,6951,6952,6989,6990,6991,7005,7006,7008,7009,7028,7030,7045,7073,7097,7108,7110,7112,7114,7115,7147,7148,7149,7153,7154,7161,7162,7164,7166,7188,7197,7198,7209,7219,7259,7269,7275,7282,7293,7298,7300,7307,7316,7329,7346,7367,7369,7388,7442,7443,7444,7446,7448,7452,7453,7458,7522,7550,7565,7581,7612,7616,7637,7662,7680,7683,7684,7694,7714,7716,7718,7720,7721,7722,7723,7724,7749,7775,7776,7808,7810,7811,7812,7818,7839,7856,7861,7867,7869,7877,7889,7890,7892,7913,7921,7942,8012,8013,8014,8061,8067,8068,8092,8093,8110,8111,8112,8169,8170,8199,8229,8238,8251,8266,8295,8299,8305,8317,8335,8340,8362,8375,8408,8437,8451,8471,8474,8500,8525,8583,8584,8587,8588,8656,8692,8693,8694,8695,8723,8756,8786,8794,8795,8836,8857,8902,8918,8964,8967,8982,8989,9031,9074,9075,9093,9094,9108,9225,9230,9234,9254,9265,9288,9290,9293,9299,9301,9302,9313,9314,9333,9339,9350,9358,9402,9420,9475,9476,9482,9521,9544,9549,9589,9603,9607,9608,9612,9613,9626,9649,9664,9673,9674,9676,9678,9707,9828,9829,9879,9880,9920,9955,10066,10135,10291,10310,10315,3,2783,2784,2785,2786,2788,2789,2792,2795,2796,2797,2803,2804,2805,2810,2811,2812,2813,2814,2815,2816,2819,2822,2823,2824,2827,2829,2833,2836,2837,2839,2840,2841,2846,2847,2848,2849,2850,2854,2858,2859,2860,2861,2892,2893,2895,2896,2898,2899,2901,2902,2903,2906,2907,2908,2910,2911,2912,2918,2920,2921,2928,2930,2931,2932,2945,2946,2947,2949,2954,2956,2957,2959,2960,2964,2965,2969,2979,2980,2981,3009,3032,5365,5406,5555,5556,5557])).
% 164.10/163.71 cnf(12985,plain,
% 164.10/163.71 (~P107(f316(f316(f225(a1),f316(f90(a1),x129851)),f316(f73(a1),f316(f90(a1),x129852))))),
% 164.10/163.71 inference(rename_variables,[],[4643])).
% 164.10/163.71 cnf(12995,plain,
% 164.10/163.71 (~P107(f316(f316(f225(a898),x129951),f2(a898)))),
% 164.10/163.71 inference(rename_variables,[],[4626])).
% 164.10/163.71 cnf(12998,plain,
% 164.10/163.71 (~P107(f316(f316(f225(a898),x129981),f2(a898)))),
% 164.10/163.71 inference(rename_variables,[],[4626])).
% 164.10/163.71 cnf(13001,plain,
% 164.10/163.71 (P107(f316(f54(a898),f294(a898,x130011,x130012)))),
% 164.10/163.71 inference(rename_variables,[],[3651])).
% 164.10/163.71 cnf(13004,plain,
% 164.10/163.71 (P107(f316(f54(a898),f294(a898,x130041,x130042)))),
% 164.10/163.71 inference(rename_variables,[],[3651])).
% 164.10/163.71 cnf(13007,plain,
% 164.10/163.71 (P107(f316(f54(a898),f294(a898,x130071,x130072)))),
% 164.10/163.71 inference(rename_variables,[],[3651])).
% 164.10/163.71 cnf(13010,plain,
% 164.10/163.71 (P107(f316(f54(a898),f294(a898,x130101,x130102)))),
% 164.10/163.71 inference(rename_variables,[],[3651])).
% 164.10/163.71 cnf(13017,plain,
% 164.10/163.71 (P107(f316(f316(f224(a1),f316(f73(a1),f316(f90(a1),x130171))),f316(f90(a1),x130172)))),
% 164.10/163.71 inference(rename_variables,[],[3920])).
% 164.10/163.71 cnf(13019,plain,
% 164.10/163.71 (P107(f316(f316(f224(a1),f2(a1)),f316(f93(a1),f2(a1))))),
% 164.10/163.71 inference(scs_inference,[],[4097,12724,12746,12881,12883,3681,11335,12392,12495,12498,12592,12634,12638,12646,12718,12848,3690,12462,12945,12947,3697,3417,12892,3418,12937,12939,12941,3384,12800,4608,4609,11977,4371,12911,3421,12928,3261,3317,12873,3318,12924,3319,3320,3321,12674,12932,4607,3739,4589,10414,10424,10437,10448,10451,10555,10558,10561,10663,10798,11108,11301,11304,11327,11330,11527,11628,11635,11649,11695,11698,11731,11746,11809,11868,11884,12178,12203,12217,12246,12252,12346,12458,12627,12688,3502,3466,12951,3649,12150,3368,4595,10647,10747,11211,3058,3060,3061,3064,3065,3067,3068,3071,3072,3073,3079,3081,3083,3084,3086,3091,3092,3101,3104,3105,3112,3118,3123,3126,3127,3131,3137,3156,3163,3201,3206,3207,3215,3222,3223,3224,3226,3230,4586,3244,3316,4587,3778,4003,11915,3294,11625,3429,3405,3408,10486,10489,10582,10585,10901,11640,11643,11757,11796,11801,11910,12364,12568,12778,12830,12832,12840,12863,12865,12867,12871,12890,12898,3379,12659,12663,12667,3385,3394,3898,4200,3513,12721,12803,3284,3643,3989,11671,3501,3345,3280,3307,3758,3303,3499,4106,3997,3820,3292,3293,3271,3910,3327,3505,11058,11185,12459,12678,3378,4071,4602,10477,10644,11524,12619,12660,12664,4605,12631,3438,11997,4029,4632,11237,11340,11580,11583,3839,3550,3764,4611,3517,12836,12838,12879,3342,3343,10547,10877,3602,3335,3262,3364,11661,4214,12649,12790,4073,11257,11396,11455,12603,12609,12735,12738,12768,4650,11160,11409,11518,11544,11588,11594,12545,4651,11290,11412,11521,4652,11415,4653,11473,4654,3363,3641,12501,12542,12630,3804,3590,4485,4486,3662,4600,11654,3782,3741,3953,3999,3627,3881,3514,10566,10686,10764,10837,10840,10880,10980,11227,11845,12094,12174,12239,12317,12355,12430,12433,3891,11901,3431,3526,11730,3703,4626,10454,10457,10483,10607,10782,10988,11003,11118,11566,11664,11844,12065,12070,12293,12296,12376,12548,12653,12976,12995,4638,11773,11804,11841,11848,11881,3878,3650,3651,13001,13004,13007,4021,3474,3476,3450,4623,4597,3830,4136,3634,4639,4207,11541,3763,3486,12018,12021,12466,12572,4630,10442,10445,10615,10710,10729,10736,10759,10767,10770,10787,10973,11214,11435,11724,11818,11966,12083,12086,4176,4135,12167,12516,4082,11055,12349,12526,4130,11263,12389,12465,12525,12571,3805,11852,12177,12324,12397,12449,4164,3822,10610,10707,11260,11345,11428,11492,12345,12411,12683,12745,12765,12775,4642,11006,11420,3447,10575,10673,10823,10887,10962,11009,11012,11043,11066,11102,11140,11179,11969,12015,12147,12202,12220,12223,12226,12229,12404,12418,12421,12424,12427,12509,12575,12694,3448,10602,10658,10892,10983,11105,11749,12048,12051,12062,12153,12164,12183,12188,12232,12255,3449,12436,3522,12381,4622,10494,10523,11027,11069,11078,11929,11950,12121,12124,12127,12130,12216,12235,12238,12251,12305,12308,12311,12314,12477,12480,12578,12581,12687,12727,3597,10752,10843,11113,11157,11399,11402,11481,11563,11734,11980,12626,4634,11036,11149,11170,11173,11240,11243,11254,11361,11369,11383,11423,11440,11449,11489,11530,11535,11538,11557,11560,11597,11602,11605,11608,11611,11851,11994,12027,12299,12302,12336,12382,12407,12554,12600,12606,12706,12709,12731,12789,12795,12806,3507,10874,10904,10913,10916,10919,11510,12728,3546,3539,3957,3896,10526,11904,11932,4631,10474,10862,10865,11364,11380,11867,11920,11954,11981,12080,12109,12112,12115,12118,12375,3468,10907,11063,11133,11933,12079,12277,12485,3920,12024,4255,4628,3931,3965,4614,4617,4618,3424,3428,4616,4615,4378,3753,4349,11756,4644,10773,10776,4649,11246,11249,11443,11554,11571,11617,4039,11614,11953,11957,12637,12645,3886,11176,11182,11200,12199,12329,12410,3737,11318,11446,12442,12551,12561,12642,12697,12705,4212,3888,10910,11279,11452,11486,11497,12641,3598,3704,10826,10829,10922,11089,3706,4647,11898,4643,12985,4648,10666,10779,12504,12513,12557,12759,4310,11046,12522,12537,4218,3919,3864,3865,4645,10499,10502,10868,10871,11770,11958,4646,11878,3889,10832,11095,4150,4661,4687,4742,4746,4770,4785,4792,4794,4830,4835,4864,4870,4956,4982,4983,4998,5024,5052,5053,5076,5077,5091,5095,5120,5126,5142,5146,5147,5148,5153,5154,5177,5202,5204,5205,5215,5220,5226,5262,5263,5271,5279,5283,5285,5299,5302,5308,5313,5314,5327,5333,5336,5337,5341,5369,5384,5393,5395,5396,5399,5400,5401,5411,5413,5419,5420,5421,5427,5431,5432,5433,5441,5445,5446,5452,5465,5473,5486,5488,5496,5498,5499,5502,5506,5533,5547,5548,5563,5575,5597,5603,5627,5628,5631,5650,5658,5659,5664,5665,5675,5677,5690,5694,5703,5704,5706,5707,5723,5728,5737,5738,5749,5756,5770,5774,5777,5783,5784,5785,5788,5793,5829,5830,5833,5835,5837,5839,5840,5841,5843,5845,5847,5852,5859,5874,5888,5895,5896,5908,5919,5920,5927,5931,5933,5938,5946,5984,5998,6007,6010,6019,6023,6024,6025,6026,6027,6032,6037,6047,6053,6071,6075,6084,6113,6129,6155,6172,6173,6176,6191,6193,6195,6197,6212,6213,6216,6218,6221,6222,6239,6247,6248,6249,6251,6253,6290,6291,6296,6299,6305,6309,6343,6345,6347,6349,6359,6361,6364,6370,6372,6377,6380,6388,6396,6398,6399,6406,6429,6430,6431,6432,6433,6435,6441,6446,6480,6481,6484,6485,6486,6488,6489,6490,6491,6498,6533,6534,6543,6564,6565,6589,6591,6603,6604,6610,6640,6642,6657,6698,6700,6701,6757,6780,6823,6838,6846,6855,6856,6857,6858,6878,6879,6886,6898,6901,6903,6905,6906,6907,6909,6923,6934,6935,6936,6949,7003,7014,7016,7038,7039,7075,7082,7089,7119,7150,7206,7235,7292,7313,7322,7325,7385,7395,7457,7459,7473,7482,7483,7484,7501,7505,7507,7554,7564,7567,7582,7629,7631,7634,7678,7679,7697,7767,7785,7809,7833,7845,7859,7870,7881,7882,7908,7910,7912,7923,7963,7974,7999,8026,8058,8089,8123,8162,8178,8180,8196,8197,8263,8274,8339,8363,8383,8410,8449,8450,8467,8507,8509,8511,8517,8532,8536,8551,8572,8580,8582,8592,8597,8601,8602,8603,8604,8605,8606,8625,8639,8640,8658,8660,8664,8665,8666,8667,8668,8688,8689,8690,8700,8713,8716,8728,8733,8735,8737,8738,8739,8746,8747,8753,8761,8764,8781,8782,8784,8792,8793,8801,8820,8833,8837,8858,8880,8881,8884,8885,8891,8900,8901,8924,8935,8945,8946,8947,8950,8973,8974,8985,9034,9040,9046,9048,9064,9067,9078,9079,9080,9091,9155,9186,9187,9188,9203,9220,9228,9256,9257,9326,9359,9365,9375,9376,9377,9386,9416,9432,9436,9440,9462,9463,9490,9552,9557,9560,9597,9598,9599,9627,9628,9644,9665,9671,9683,9708,9729,9738,9739,9740,9741,9756,9758,9763,9793,9794,9800,9801,9847,9848,9859,9860,9884,9903,9905,9906,9914,9919,9926,9950,9985,9987,9991,10041,10077,10087,10089,10093,10094,10096,10105,10106,10126,10131,10225,10318,10319,10320,10321,10380,10398,2,8,9,4674,4675,4693,4735,4736,4738,4761,4763,4764,4774,4819,4821,4869,4999,5000,5017,5041,5098,5099,5105,5106,5108,5110,5119,5122,5123,5131,5144,5145,5151,5172,5173,5191,5196,5197,5198,5199,5203,5211,5214,5221,5276,5281,5282,5287,5293,5324,5334,5339,5349,5366,5368,5375,5376,5378,5389,5407,5409,5410,5417,5424,5425,5437,5438,5439,5440,5442,5443,5448,5449,5450,5451,5482,5483,5484,5492,5493,5494,5495,5539,5544,5546,5582,5584,5585,5587,5588,5590,5591,5593,5602,5607,5609,5610,5611,5613,5615,5616,5617,5618,5619,5620,5629,5639,5642,5653,5669,5670,5673,5683,5686,5687,5688,5715,5725,5740,5741,5750,5751,5753,5755,5760,5795,5800,5802,5861,5897,5898,5912,5918,5921,5922,5923,5924,5943,5947,5948,5957,5979,6011,6030,6031,6035,6036,6038,6063,6064,6065,6069,6070,6086,6097,6098,6131,6132,6136,6157,6160,6163,6185,6186,6214,6217,6226,6235,6237,6246,6250,6258,6259,6260,6261,6293,6310,6363,6400,6402,6403,6426,6427,6434,6438,6439,6442,6456,6472,6493,6494,6499,6510,6513,6526,6546,6552,6554,6569,6570,6573,6574,6576,6578,6579,6580,6582,6584,6590,6596,6597,6599,6600,6606,6608,6650,6656,6671,6675,6676,6677,6711,6716,6718,6723,6724,6734,6738,6752,6775,6776,6778,6779,6790,6796,6815,6818,6839,6859,6872,6873,6874,6880,6894,6913,6915,6917,6919,6924,6930,6932,6946,6951,6952,6989,6990,6991,7005,7006,7008,7009,7028,7030,7045,7073,7097,7108,7110,7112,7114,7115,7147,7148,7149,7153,7154,7161,7162,7164,7166,7188,7197,7198,7209,7219,7259,7269,7275,7282,7293,7298,7300,7307,7316,7329,7346,7367,7369,7388,7442,7443,7444,7446,7448,7452,7453,7458,7522,7550,7565,7581,7612,7616,7637,7662,7680,7683,7684,7694,7714,7716,7718,7720,7721,7722,7723,7724,7749,7775,7776,7808,7810,7811,7812,7818,7839,7856,7861,7867,7869,7877,7889,7890,7892,7913,7921,7942,8012,8013,8014,8061,8067,8068,8092,8093,8110,8111,8112,8169,8170,8199,8229,8238,8251,8266,8295,8299,8305,8317,8335,8340,8362,8375,8408,8437,8451,8471,8474,8500,8525,8583,8584,8587,8588,8656,8692,8693,8694,8695,8723,8756,8786,8794,8795,8836,8857,8902,8918,8964,8967,8982,8989,9031,9074,9075,9093,9094,9108,9225,9230,9234,9254,9265,9288,9290,9293,9299,9301,9302,9313,9314,9333,9339,9350,9358,9402,9420,9475,9476,9482,9521,9544,9549,9589,9603,9607,9608,9612,9613,9626,9649,9664,9673,9674,9676,9678,9707,9828,9829,9879,9880,9920,9955,10066,10135,10291,10310,10315,3,2783,2784,2785,2786,2788,2789,2792,2795,2796,2797,2803,2804,2805,2810,2811,2812,2813,2814,2815,2816,2819,2822,2823,2824,2827,2829,2833,2836,2837,2839,2840,2841,2846,2847,2848,2849,2850,2854,2858,2859,2860,2861,2892,2893,2895,2896,2898,2899,2901,2902,2903,2906,2907,2908,2910,2911,2912,2918,2920,2921,2928,2930,2931,2932,2945,2946,2947,2949,2954,2956,2957,2959,2960,2964,2965,2969,2979,2980,2981,3009,3032,5365,5406,5555,5556,5557,5640,5739,5769,5803,5819,5821,5827,5889,5890,5891,5892,5910,5945,6081,6120])).
% 164.10/163.71 cnf(13022,plain,
% 164.10/163.71 (~P107(f316(f316(f225(a898),x130221),f2(a898)))),
% 164.10/163.71 inference(rename_variables,[],[4626])).
% 164.10/163.71 cnf(13023,plain,
% 164.10/163.71 (P107(f316(f316(f224(a898),x130231),x130231))),
% 164.10/163.71 inference(rename_variables,[],[3447])).
% 164.10/163.71 cnf(13030,plain,
% 164.10/163.71 (P107(f316(f316(f225(a898),x130301),f316(a102,x130301)))),
% 164.10/163.71 inference(rename_variables,[],[3514])).
% 164.10/163.71 cnf(13032,plain,
% 164.10/163.71 (P107(f316(f316(f224(a1),f2(a1)),a77))),
% 164.10/163.71 inference(scs_inference,[],[4097,12724,12746,12881,12883,3681,11335,12392,12495,12498,12592,12634,12638,12646,12718,12848,3690,12462,12945,12947,3697,3417,12892,3418,12937,12939,12941,3384,12800,4608,4609,11977,4371,12911,3421,12928,3261,3317,12873,3318,12924,3319,3320,3321,12674,12932,4607,3739,4589,10414,10424,10437,10448,10451,10555,10558,10561,10663,10798,11108,11301,11304,11327,11330,11527,11628,11635,11649,11695,11698,11731,11746,11809,11868,11884,12178,12203,12217,12246,12252,12346,12458,12627,12688,3502,3466,12951,3649,12150,3368,4595,10647,10747,11211,3058,3060,3061,3064,3065,3067,3068,3071,3072,3073,3079,3081,3083,3084,3086,3091,3092,3101,3104,3105,3112,3118,3123,3126,3127,3131,3137,3156,3163,3201,3206,3207,3215,3222,3223,3224,3226,3230,4586,3244,3316,4587,3778,4003,11915,3294,11625,3429,3405,3408,10486,10489,10582,10585,10901,11640,11643,11757,11796,11801,11910,12364,12568,12778,12830,12832,12840,12863,12865,12867,12871,12890,12898,3379,12659,12663,12667,3385,3394,3898,4200,3513,12721,12803,3284,3643,3989,11671,3501,3345,3280,3307,3758,3303,3499,4106,3997,3820,3292,3293,3271,3910,3327,3505,11058,11185,12459,12678,3378,4071,4602,10477,10644,11524,12619,12660,12664,4605,12631,3438,11997,4029,4632,11237,11340,11580,11583,3839,3550,3764,4611,3517,12836,12838,12879,3342,3343,10547,10877,3602,3335,3262,3364,11661,4214,12649,12790,4073,11257,11396,11455,12603,12609,12735,12738,12768,4650,11160,11409,11518,11544,11588,11594,12545,4651,11290,11412,11521,4652,11415,4653,11473,4654,3363,3641,12501,12542,12630,3804,3590,4485,4486,3662,4600,11654,3782,3741,3784,3953,3999,3627,3881,3514,10566,10686,10764,10837,10840,10880,10980,11227,11845,12094,12174,12239,12317,12355,12430,12433,12772,3891,11901,3431,3526,11730,3703,4626,10454,10457,10483,10607,10782,10988,11003,11118,11566,11664,11844,12065,12070,12293,12296,12376,12548,12653,12976,12995,12998,4638,11773,11804,11841,11848,11881,3878,3650,3651,13001,13004,13007,4021,3474,3476,3450,4623,3341,4597,3830,4136,3634,4639,4207,11541,3763,3486,12018,12021,12466,12572,4630,10442,10445,10615,10710,10729,10736,10759,10767,10770,10787,10973,11214,11435,11724,11818,11966,12083,12086,4176,4135,12167,12516,4082,11055,12349,12526,4130,11263,12389,12465,12525,12571,3805,11852,12177,12324,12397,12449,4164,3822,10610,10707,11260,11345,11428,11492,12345,12411,12683,12745,12765,12775,4642,11006,11420,3447,10575,10673,10823,10887,10962,11009,11012,11043,11066,11102,11140,11179,11969,12015,12147,12202,12220,12223,12226,12229,12404,12418,12421,12424,12427,12509,12575,12694,12741,3448,10602,10658,10892,10983,11105,11749,12048,12051,12062,12153,12164,12183,12188,12232,12255,3449,12436,3522,12381,4622,10494,10523,11027,11069,11078,11929,11950,12121,12124,12127,12130,12216,12235,12238,12251,12305,12308,12311,12314,12477,12480,12578,12581,12687,12727,3597,10752,10843,11113,11157,11399,11402,11481,11563,11734,11980,12626,4634,11036,11149,11170,11173,11240,11243,11254,11361,11369,11383,11423,11440,11449,11489,11530,11535,11538,11557,11560,11597,11602,11605,11608,11611,11851,11994,12027,12299,12302,12336,12382,12407,12554,12600,12606,12706,12709,12731,12789,12795,12806,3507,10874,10904,10913,10916,10919,11510,12728,3546,3539,3957,3896,10526,11904,11932,4631,10474,10862,10865,11364,11380,11867,11920,11954,11981,12080,12109,12112,12115,12118,12375,3468,10907,11063,11133,11933,12079,12277,12485,3920,12024,4255,3656,4628,3931,3965,4614,4617,4618,3424,3428,4616,4615,4378,3753,4349,11756,4644,10773,10776,4649,11246,11249,11443,11554,11571,11617,4039,11614,11953,11957,12637,12645,3886,11176,11182,11200,12199,12329,12410,3737,11318,11446,12442,12551,12561,12642,12697,12705,4212,3888,10910,11279,11452,11486,11497,12641,3598,3704,10826,10829,10922,11089,3706,4647,11898,4643,12985,4648,10666,10779,12504,12513,12557,12759,4310,11046,12522,12537,4218,3919,3864,3865,4645,10499,10502,10868,10871,11770,11958,4646,11878,3889,10832,11095,4150,4661,4687,4742,4746,4770,4785,4792,4794,4830,4835,4864,4870,4956,4982,4983,4998,5024,5052,5053,5076,5077,5091,5095,5120,5126,5142,5146,5147,5148,5153,5154,5177,5202,5204,5205,5215,5220,5226,5262,5263,5271,5279,5283,5285,5299,5302,5308,5313,5314,5327,5333,5336,5337,5341,5369,5384,5393,5395,5396,5399,5400,5401,5411,5413,5419,5420,5421,5427,5431,5432,5433,5441,5445,5446,5452,5465,5473,5486,5488,5496,5498,5499,5502,5506,5533,5547,5548,5563,5575,5597,5603,5627,5628,5631,5650,5658,5659,5664,5665,5675,5677,5690,5694,5703,5704,5706,5707,5723,5728,5737,5738,5749,5756,5770,5774,5777,5783,5784,5785,5788,5793,5829,5830,5833,5835,5837,5839,5840,5841,5843,5845,5847,5852,5859,5874,5888,5895,5896,5908,5919,5920,5927,5931,5933,5938,5946,5984,5998,6007,6010,6019,6023,6024,6025,6026,6027,6032,6037,6047,6053,6071,6075,6084,6113,6129,6155,6172,6173,6176,6191,6193,6195,6197,6212,6213,6216,6218,6221,6222,6239,6247,6248,6249,6251,6253,6290,6291,6296,6299,6305,6309,6343,6345,6347,6349,6359,6361,6364,6370,6372,6377,6380,6388,6396,6398,6399,6406,6429,6430,6431,6432,6433,6435,6441,6446,6480,6481,6484,6485,6486,6488,6489,6490,6491,6498,6533,6534,6543,6564,6565,6589,6591,6603,6604,6610,6640,6642,6657,6698,6700,6701,6757,6780,6823,6838,6846,6855,6856,6857,6858,6878,6879,6886,6898,6901,6903,6905,6906,6907,6909,6923,6934,6935,6936,6949,7003,7014,7016,7038,7039,7075,7082,7089,7119,7150,7206,7235,7292,7313,7322,7325,7385,7395,7457,7459,7473,7482,7483,7484,7501,7505,7507,7554,7564,7567,7582,7629,7631,7634,7678,7679,7697,7767,7785,7809,7833,7845,7859,7870,7881,7882,7908,7910,7912,7923,7963,7974,7999,8026,8058,8089,8123,8162,8178,8180,8196,8197,8263,8274,8339,8363,8383,8410,8449,8450,8467,8507,8509,8511,8517,8532,8536,8551,8572,8580,8582,8592,8597,8601,8602,8603,8604,8605,8606,8625,8639,8640,8658,8660,8664,8665,8666,8667,8668,8688,8689,8690,8700,8713,8716,8728,8733,8735,8737,8738,8739,8746,8747,8753,8761,8764,8781,8782,8784,8792,8793,8801,8820,8833,8837,8858,8880,8881,8884,8885,8891,8900,8901,8924,8935,8945,8946,8947,8950,8973,8974,8985,9034,9040,9046,9048,9064,9067,9078,9079,9080,9091,9155,9186,9187,9188,9203,9220,9228,9256,9257,9326,9359,9365,9375,9376,9377,9386,9416,9432,9436,9440,9462,9463,9490,9552,9557,9560,9597,9598,9599,9627,9628,9644,9665,9671,9683,9708,9729,9738,9739,9740,9741,9756,9758,9763,9793,9794,9800,9801,9847,9848,9859,9860,9884,9903,9905,9906,9914,9919,9926,9950,9985,9987,9991,10041,10077,10087,10089,10093,10094,10096,10105,10106,10126,10131,10225,10318,10319,10320,10321,10380,10398,2,8,9,4674,4675,4693,4735,4736,4738,4761,4763,4764,4774,4819,4821,4869,4999,5000,5017,5041,5098,5099,5105,5106,5108,5110,5119,5122,5123,5131,5144,5145,5151,5172,5173,5191,5196,5197,5198,5199,5203,5211,5214,5221,5276,5281,5282,5287,5293,5324,5334,5339,5349,5366,5368,5375,5376,5378,5389,5407,5409,5410,5417,5424,5425,5437,5438,5439,5440,5442,5443,5448,5449,5450,5451,5482,5483,5484,5492,5493,5494,5495,5539,5544,5546,5582,5584,5585,5587,5588,5590,5591,5593,5602,5607,5609,5610,5611,5613,5615,5616,5617,5618,5619,5620,5629,5639,5642,5653,5669,5670,5673,5683,5686,5687,5688,5715,5725,5740,5741,5750,5751,5753,5755,5760,5795,5800,5802,5861,5897,5898,5912,5918,5921,5922,5923,5924,5943,5947,5948,5957,5979,6011,6030,6031,6035,6036,6038,6063,6064,6065,6069,6070,6086,6097,6098,6131,6132,6136,6157,6160,6163,6185,6186,6214,6217,6226,6235,6237,6246,6250,6258,6259,6260,6261,6293,6310,6363,6400,6402,6403,6426,6427,6434,6438,6439,6442,6456,6472,6493,6494,6499,6510,6513,6526,6546,6552,6554,6569,6570,6573,6574,6576,6578,6579,6580,6582,6584,6590,6596,6597,6599,6600,6606,6608,6650,6656,6671,6675,6676,6677,6711,6716,6718,6723,6724,6734,6738,6752,6775,6776,6778,6779,6790,6796,6815,6818,6839,6859,6872,6873,6874,6880,6894,6913,6915,6917,6919,6924,6930,6932,6946,6951,6952,6989,6990,6991,7005,7006,7008,7009,7028,7030,7045,7073,7097,7108,7110,7112,7114,7115,7147,7148,7149,7153,7154,7161,7162,7164,7166,7188,7197,7198,7209,7219,7259,7269,7275,7282,7293,7298,7300,7307,7316,7329,7346,7367,7369,7388,7442,7443,7444,7446,7448,7452,7453,7458,7522,7550,7565,7581,7612,7616,7637,7662,7680,7683,7684,7694,7714,7716,7718,7720,7721,7722,7723,7724,7749,7775,7776,7808,7810,7811,7812,7818,7839,7856,7861,7867,7869,7877,7889,7890,7892,7913,7921,7942,8012,8013,8014,8061,8067,8068,8092,8093,8110,8111,8112,8169,8170,8199,8229,8238,8251,8266,8295,8299,8305,8317,8335,8340,8362,8375,8408,8437,8451,8471,8474,8500,8525,8583,8584,8587,8588,8656,8692,8693,8694,8695,8723,8756,8786,8794,8795,8836,8857,8902,8918,8964,8967,8982,8989,9031,9074,9075,9093,9094,9108,9225,9230,9234,9254,9265,9288,9290,9293,9299,9301,9302,9313,9314,9333,9339,9350,9358,9402,9420,9475,9476,9482,9521,9544,9549,9589,9603,9607,9608,9612,9613,9626,9649,9664,9673,9674,9676,9678,9707,9828,9829,9879,9880,9920,9955,10066,10135,10291,10310,10315,3,2783,2784,2785,2786,2788,2789,2792,2795,2796,2797,2803,2804,2805,2810,2811,2812,2813,2814,2815,2816,2819,2822,2823,2824,2827,2829,2833,2836,2837,2839,2840,2841,2846,2847,2848,2849,2850,2854,2858,2859,2860,2861,2892,2893,2895,2896,2898,2899,2901,2902,2903,2906,2907,2908,2910,2911,2912,2918,2920,2921,2928,2930,2931,2932,2945,2946,2947,2949,2954,2956,2957,2959,2960,2964,2965,2969,2979,2980,2981,3009,3032,5365,5406,5555,5556,5557,5640,5739,5769,5803,5819,5821,5827,5889,5890,5891,5892,5910,5945,6081,6120,6130,6154,6189,6227])).
% 164.10/163.71 cnf(13034,plain,
% 164.10/163.71 (~P107(f316(f316(f225(a1),f2(a1)),f316(f93(a1),f2(a1))))),
% 164.10/163.71 inference(scs_inference,[],[4097,12724,12746,12881,12883,3681,11335,12392,12495,12498,12592,12634,12638,12646,12718,12848,3690,12462,12945,12947,3697,3417,12892,3418,12937,12939,12941,3384,12800,4608,4609,11977,4371,12911,3421,12928,3261,3317,12873,3318,12924,3319,3320,3321,12674,12932,4607,3739,4589,10414,10424,10437,10448,10451,10555,10558,10561,10663,10798,11108,11301,11304,11327,11330,11527,11628,11635,11649,11695,11698,11731,11746,11809,11868,11884,12178,12203,12217,12246,12252,12346,12458,12627,12688,3502,3466,12951,3649,12150,3368,4595,10647,10747,11211,3058,3060,3061,3064,3065,3067,3068,3071,3072,3073,3079,3081,3083,3084,3086,3091,3092,3101,3104,3105,3112,3118,3123,3126,3127,3131,3137,3156,3163,3201,3206,3207,3215,3222,3223,3224,3226,3230,4586,3244,3316,4587,3778,4003,11915,3294,11625,3429,3405,3408,10486,10489,10582,10585,10901,11640,11643,11757,11796,11801,11910,12364,12568,12778,12830,12832,12840,12863,12865,12867,12871,12890,12898,3379,12659,12663,12667,3385,3394,3898,4200,3513,12721,12803,3284,3643,3989,11671,3501,3345,3280,3307,3758,3303,3499,4106,3997,3820,3292,3293,3271,3910,3327,3505,11058,11185,12459,12678,3378,4071,4602,10477,10644,11524,12619,12660,12664,4605,12631,3438,11997,4029,4632,11237,11340,11580,11583,3839,3550,3764,4611,3517,12836,12838,12879,3342,3343,10547,10877,3602,3335,3262,3364,11661,4214,12649,12790,4073,11257,11396,11455,12603,12609,12735,12738,12768,4650,11160,11409,11518,11544,11588,11594,12545,4651,11290,11412,11521,4652,11415,4653,11473,4654,3363,3641,12501,12542,12630,3804,3590,4485,4486,3662,4600,11654,3782,3741,3784,3953,3999,3627,3881,3514,10566,10686,10764,10837,10840,10880,10980,11227,11845,12094,12174,12239,12317,12355,12430,12433,12772,3891,11901,3431,3526,11730,3703,4626,10454,10457,10483,10607,10782,10988,11003,11118,11566,11664,11844,12065,12070,12293,12296,12376,12548,12653,12976,12995,12998,4638,11773,11804,11841,11848,11881,3878,3650,3651,13001,13004,13007,4021,3474,3476,3450,4623,3341,4597,3830,4136,3634,4639,4207,11541,3763,3486,12018,12021,12466,12572,4630,10442,10445,10615,10710,10729,10736,10759,10767,10770,10787,10973,11214,11435,11724,11818,11966,12083,12086,4176,4135,12167,12516,4082,11055,12349,12526,4130,11263,12389,12465,12525,12571,3805,11852,12177,12324,12397,12449,4164,3822,10610,10707,11260,11345,11428,11492,12345,12411,12683,12745,12765,12775,4642,11006,11420,3447,10575,10673,10823,10887,10962,11009,11012,11043,11066,11102,11140,11179,11969,12015,12147,12202,12220,12223,12226,12229,12404,12418,12421,12424,12427,12509,12575,12694,12741,3448,10602,10658,10892,10983,11105,11749,12048,12051,12062,12153,12164,12183,12188,12232,12255,3449,12436,3522,12381,4622,10494,10523,11027,11069,11078,11929,11950,12121,12124,12127,12130,12216,12235,12238,12251,12305,12308,12311,12314,12477,12480,12578,12581,12687,12727,3597,10752,10843,11113,11157,11399,11402,11481,11563,11734,11980,12626,4634,11036,11149,11170,11173,11240,11243,11254,11361,11369,11383,11423,11440,11449,11489,11530,11535,11538,11557,11560,11597,11602,11605,11608,11611,11851,11994,12027,12299,12302,12336,12382,12407,12554,12600,12606,12706,12709,12731,12789,12795,12806,3507,10874,10904,10913,10916,10919,11510,12728,3546,3539,3957,3896,10526,11904,11932,4631,10474,10862,10865,11364,11380,11867,11920,11954,11981,12080,12109,12112,12115,12118,12375,3468,10907,11063,11133,11933,12079,12277,12485,3920,12024,4255,3656,4628,3931,3965,4614,4617,4618,3424,3428,4616,4615,4378,3753,4349,11756,4644,10773,10776,4649,11246,11249,11443,11554,11571,11617,4039,11614,11953,11957,12637,12645,3886,11176,11182,11200,12199,12329,12410,3737,11318,11446,12442,12551,12561,12642,12697,12705,4212,3888,10910,11279,11452,11486,11497,12641,3598,3704,10826,10829,10922,11089,3706,4647,11898,4643,12985,4648,10666,10779,12504,12513,12557,12759,4310,11046,12522,12537,4218,3919,3864,3865,4645,10499,10502,10868,10871,11770,11958,4646,11878,3889,10832,11095,4150,4661,4687,4742,4746,4770,4785,4792,4794,4830,4835,4864,4870,4956,4982,4983,4998,5024,5052,5053,5076,5077,5091,5095,5120,5126,5142,5146,5147,5148,5153,5154,5177,5202,5204,5205,5215,5220,5226,5262,5263,5271,5279,5283,5285,5299,5302,5308,5313,5314,5327,5333,5336,5337,5341,5369,5384,5393,5395,5396,5399,5400,5401,5411,5413,5419,5420,5421,5427,5431,5432,5433,5441,5445,5446,5452,5465,5473,5486,5488,5496,5498,5499,5502,5506,5533,5547,5548,5563,5575,5597,5603,5627,5628,5631,5650,5658,5659,5664,5665,5675,5677,5690,5694,5703,5704,5706,5707,5723,5728,5737,5738,5749,5756,5770,5774,5777,5783,5784,5785,5788,5793,5829,5830,5833,5835,5837,5839,5840,5841,5843,5845,5847,5852,5859,5874,5888,5895,5896,5908,5919,5920,5927,5931,5933,5938,5946,5984,5998,6007,6010,6019,6023,6024,6025,6026,6027,6032,6037,6047,6053,6071,6075,6084,6113,6129,6155,6172,6173,6176,6191,6193,6195,6197,6212,6213,6216,6218,6221,6222,6239,6247,6248,6249,6251,6253,6290,6291,6296,6299,6305,6309,6343,6345,6347,6349,6359,6361,6364,6370,6372,6377,6380,6388,6396,6398,6399,6406,6429,6430,6431,6432,6433,6435,6441,6446,6480,6481,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% 164.10/163.71 cnf(13037,plain,
% 164.10/163.71 (P107(f316(f316(f224(a1),x130371),x130371))),
% 164.10/163.71 inference(rename_variables,[],[3448])).
% 164.10/163.71 cnf(13040,plain,
% 164.10/163.71 (P107(f316(f54(a898),f294(a898,x130401,x130402)))),
% 164.10/163.71 inference(rename_variables,[],[3651])).
% 164.10/163.71 cnf(13043,plain,
% 164.10/163.71 (P107(f316(f54(a898),f294(a898,x130431,x130432)))),
% 164.10/163.71 inference(rename_variables,[],[3651])).
% 164.10/163.71 cnf(13046,plain,
% 164.10/163.71 (P107(f316(f316(f224(a898),x130461),x130461))),
% 164.10/163.71 inference(rename_variables,[],[3447])).
% 164.10/163.71 cnf(13047,plain,
% 164.10/163.71 (~E(f316(a102,x130471),f2(a898))),
% 164.10/163.71 inference(rename_variables,[],[4595])).
% 164.10/163.71 cnf(13064,plain,
% 164.10/163.71 (P107(f316(f316(f224(a898),f38(a898,x130641,x130642)),x130641))),
% 164.10/163.71 inference(rename_variables,[],[3896])).
% 164.10/163.71 cnf(13069,plain,
% 164.10/163.71 (P107(f316(f316(f225(a898),x130691),f316(a102,x130691)))),
% 164.10/163.71 inference(rename_variables,[],[3514])).
% 164.10/163.71 cnf(13072,plain,
% 164.10/163.71 (P107(f316(f316(f225(a898),x130721),f316(a102,x130721)))),
% 164.10/163.71 inference(rename_variables,[],[3514])).
% 164.10/163.71 cnf(13073,plain,
% 164.10/163.71 (~P107(f316(f316(f225(a898),x130731),f2(a898)))),
% 164.10/163.71 inference(rename_variables,[],[4626])).
% 164.10/163.71 cnf(13082,plain,
% 164.10/163.71 (~P107(f316(f316(f225(a1),f316(f90(a1),x130821)),f2(a1)))),
% 164.10/163.71 inference(rename_variables,[],[4638])).
% 164.10/163.71 cnf(13083,plain,
% 164.10/163.71 (P107(f316(f231(f905(x130831,a895)),x130832))),
% 164.10/163.71 inference(rename_variables,[],[3507])).
% 164.10/163.71 cnf(13086,plain,
% 164.10/163.71 (~P107(f316(f316(f225(a1),f316(f90(a1),x130861)),f2(a1)))),
% 164.10/163.71 inference(rename_variables,[],[4638])).
% 164.10/163.71 cnf(13087,plain,
% 164.10/163.71 (P107(f316(f231(f905(x130871,a895)),x130872))),
% 164.10/163.71 inference(rename_variables,[],[3507])).
% 164.10/163.71 cnf(13090,plain,
% 164.10/163.71 (P107(f316(f231(f905(x130901,a895)),x130902))),
% 164.10/163.71 inference(rename_variables,[],[3507])).
% 164.10/163.71 cnf(13101,plain,
% 164.10/163.71 (~P107(f316(f316(f318(x131011),x131012),f178(f905(x131011,a895))))),
% 164.10/163.71 inference(rename_variables,[],[4634])).
% 164.10/163.71 cnf(13102,plain,
% 164.10/163.71 (P107(f316(f54(x131021),f178(f905(x131021,a895))))),
% 164.10/163.71 inference(rename_variables,[],[3522])).
% 164.10/163.71 cnf(13111,plain,
% 164.10/163.71 (P107(f316(f316(f224(a898),f2(a898)),x131111))),
% 164.10/163.71 inference(rename_variables,[],[3468])).
% 164.10/163.71 cnf(13114,plain,
% 164.10/163.71 (~P107(f316(f316(f318(x131141),x131142),f178(f905(x131141,a895))))),
% 164.10/163.71 inference(rename_variables,[],[4634])).
% 164.10/163.71 cnf(13117,plain,
% 164.10/163.71 (~P107(f316(f316(f318(x131171),x131172),f178(f905(x131171,a895))))),
% 164.10/163.71 inference(rename_variables,[],[4634])).
% 164.10/163.71 cnf(13122,plain,
% 164.10/163.71 (P107(f316(f316(f224(a898),x131221),x131221))),
% 164.10/163.71 inference(rename_variables,[],[3447])).
% 164.10/163.71 cnf(13130,plain,
% 164.10/163.71 (P107(f316(f316(f225(a898),x131301),f316(a102,x131301)))),
% 164.10/163.71 inference(rename_variables,[],[3514])).
% 164.10/163.71 cnf(13133,plain,
% 164.10/163.71 (P107(f316(f316(f224(a898),x131331),x131331))),
% 164.10/163.71 inference(rename_variables,[],[3447])).
% 164.10/163.71 cnf(13138,plain,
% 164.10/163.71 (P107(f316(f316(f224(a898),x131381),x131381))),
% 164.10/163.71 inference(rename_variables,[],[3447])).
% 164.10/163.71 cnf(13141,plain,
% 164.10/163.71 (P107(f316(f316(f224(a898),x131411),x131411))),
% 164.10/163.71 inference(rename_variables,[],[3447])).
% 164.10/163.71 cnf(13144,plain,
% 164.10/163.71 (P107(f316(f316(f224(a898),x131441),x131441))),
% 164.10/163.71 inference(rename_variables,[],[3447])).
% 164.10/163.71 cnf(13147,plain,
% 164.10/163.71 (E(f316(f316(f23(f905(x131471,a895)),f178(f905(x131471,a895))),x131472),f178(f905(x131471,a895)))),
% 164.10/163.71 inference(rename_variables,[],[3708])).
% 164.10/163.71 cnf(13148,plain,
% 164.10/163.71 (P107(f316(f54(x131481),f178(f905(x131481,a895))))),
% 164.10/163.71 inference(rename_variables,[],[3522])).
% 164.10/163.71 cnf(13151,plain,
% 164.10/163.71 (E(f316(f316(f23(f905(x131511,a895)),f178(f905(x131511,a895))),x131512),f178(f905(x131511,a895)))),
% 164.10/163.71 inference(rename_variables,[],[3708])).
% 164.10/163.71 cnf(13152,plain,
% 164.10/163.71 (P107(f316(f54(x131521),f178(f905(x131521,a895))))),
% 164.10/163.71 inference(rename_variables,[],[3522])).
% 164.10/163.71 cnf(13155,plain,
% 164.10/163.71 (E(f316(f316(f23(f905(x131551,a895)),f178(f905(x131551,a895))),x131552),f178(f905(x131551,a895)))),
% 164.10/163.71 inference(rename_variables,[],[3708])).
% 164.10/163.71 cnf(13156,plain,
% 164.10/163.71 (P107(f316(f54(x131561),f178(f905(x131561,a895))))),
% 164.10/163.71 inference(rename_variables,[],[3522])).
% 164.10/163.71 cnf(13159,plain,
% 164.10/163.71 (E(f316(f316(f23(f905(x131591,a895)),f178(f905(x131591,a895))),x131592),f178(f905(x131591,a895)))),
% 164.10/163.71 inference(rename_variables,[],[3708])).
% 164.10/163.71 cnf(13160,plain,
% 164.10/163.71 (P107(f316(f54(x131601),f178(f905(x131601,a895))))),
% 164.10/163.71 inference(rename_variables,[],[3522])).
% 164.10/163.71 cnf(13164,plain,
% 164.10/163.71 (E(f316(f273(x131641,x131641),f252(x131641,x131642)),x131642)),
% 164.10/163.71 inference(rename_variables,[],[3408])).
% 164.10/163.71 cnf(13169,plain,
% 164.10/163.71 (E(f316(f316(f23(f905(x131691,a895)),f178(f905(x131691,a895))),x131692),f178(f905(x131691,a895)))),
% 164.10/163.71 inference(rename_variables,[],[3708])).
% 164.10/163.71 cnf(13170,plain,
% 164.10/163.71 (P107(f316(f54(x131701),f178(f905(x131701,a895))))),
% 164.10/163.71 inference(rename_variables,[],[3522])).
% 164.10/163.71 cnf(13174,plain,
% 164.10/163.71 (P107(f316(f54(x131741),f178(f905(x131741,a895))))),
% 164.10/163.71 inference(rename_variables,[],[3522])).
% 164.10/163.71 cnf(13177,plain,
% 164.10/163.71 (P107(f316(f316(f224(a898),x131771),x131771))),
% 164.10/163.71 inference(rename_variables,[],[3447])).
% 164.10/163.71 cnf(13181,plain,
% 164.10/163.71 (P107(f316(f316(f224(a1),x131811),x131811))),
% 164.10/163.71 inference(rename_variables,[],[3448])).
% 164.10/163.71 cnf(13188,plain,
% 164.10/163.71 (P107(f316(f316(f224(a898),x131881),x131881))),
% 164.10/163.71 inference(rename_variables,[],[3447])).
% 164.10/163.71 cnf(13201,plain,
% 164.10/163.71 (P107(f316(f316(f224(a898),x132011),x132011))),
% 164.10/163.71 inference(rename_variables,[],[3447])).
% 164.10/163.71 cnf(13204,plain,
% 164.10/163.71 (P107(f316(f316(f224(a1),x132041),x132041))),
% 164.10/163.71 inference(rename_variables,[],[3448])).
% 164.10/163.71 cnf(13215,plain,
% 164.10/163.71 (~P107(f316(f316(f318(x132151),x132152),f178(f905(x132151,a895))))),
% 164.10/163.71 inference(rename_variables,[],[4634])).
% 164.10/163.71 cnf(13226,plain,
% 164.10/163.71 (P107(f316(f316(f318(x132261),x132262),f231(f905(x132261,a895))))),
% 164.10/163.71 inference(rename_variables,[],[3597])).
% 164.10/163.71 cnf(13227,plain,
% 164.10/163.71 (E(f316(f182(x132271,x132272),x132273),f111(x132271,x132272))),
% 164.10/163.71 inference(rename_variables,[],[3362])).
% 164.10/163.71 cnf(13230,plain,
% 164.10/163.71 (P107(f316(f316(f318(x132301),f316(x132302,x132303)),f316(f299(x132304,x132301,x132302),f231(f905(x132304,a895)))))),
% 164.10/163.71 inference(rename_variables,[],[4039])).
% 164.10/163.71 cnf(13234,plain,
% 164.10/163.71 (P107(f316(f316(f224(f905(x132341,a895)),x132342),f231(f905(x132341,a895))))),
% 164.10/163.71 inference(rename_variables,[],[3822])).
% 164.10/163.71 cnf(13237,plain,
% 164.10/163.71 (P107(f316(f316(f224(f905(x132371,a895)),x132372),x132372))),
% 164.10/163.71 inference(rename_variables,[],[3737])).
% 164.10/163.71 cnf(13243,plain,
% 164.10/163.71 (~P107(f316(f316(f225(a898),x132431),f2(a898)))),
% 164.10/163.71 inference(rename_variables,[],[4626])).
% 164.10/163.71 cnf(13244,plain,
% 164.10/163.71 (P107(f316(f316(f224(a1),x132441),x132441))),
% 164.10/163.71 inference(rename_variables,[],[3448])).
% 164.10/163.71 cnf(13248,plain,
% 164.10/163.71 (~P107(f316(f316(f225(a898),x132481),f2(a898)))),
% 164.10/163.71 inference(rename_variables,[],[4626])).
% 164.10/163.71 cnf(13249,plain,
% 164.10/163.71 (P107(f316(f316(f224(a1),x132491),x132491))),
% 164.10/163.71 inference(rename_variables,[],[3448])).
% 164.10/163.71 cnf(13254,plain,
% 164.10/163.71 (P107(f316(f316(f224(a898),x132541),x132541))),
% 164.10/163.71 inference(rename_variables,[],[3447])).
% 164.10/163.71 cnf(13261,plain,
% 164.10/163.71 (E(f316(f316(f16(x132611,x132612),x132613),x132614),x132613)),
% 164.10/163.71 inference(rename_variables,[],[3438])).
% 164.10/163.71 cnf(13264,plain,
% 164.10/163.71 (P107(f316(f316(f224(f905(x132641,a895)),f316(f162(x132641),f166(x132641,x132642,x132643))),f316(f162(x132641),x132642)))),
% 164.10/163.71 inference(rename_variables,[],[4130])).
% 164.10/163.71 cnf(13268,plain,
% 164.10/163.71 (~P107(f316(f316(f225(a898),x132681),f2(a898)))),
% 164.10/163.71 inference(rename_variables,[],[4626])).
% 164.10/163.71 cnf(13269,plain,
% 164.10/163.71 (P107(f316(f316(f224(a1),x132691),x132691))),
% 164.10/163.71 inference(rename_variables,[],[3448])).
% 164.10/163.71 cnf(13273,plain,
% 164.10/163.71 (~P107(f316(f316(f225(a898),x132731),f2(a898)))),
% 164.10/163.71 inference(rename_variables,[],[4626])).
% 164.10/163.71 cnf(13274,plain,
% 164.10/163.71 (P107(f316(f316(f224(a1),x132741),x132741))),
% 164.10/163.71 inference(rename_variables,[],[3448])).
% 164.10/163.71 cnf(13278,plain,
% 164.10/163.71 (~P107(f316(f316(f224(f905(a898,a895)),f292(a898,f316(a102,x132781),f316(a102,x132781))),f292(a898,x132782,x132781)))),
% 164.10/163.71 inference(scs_inference,[],[4097,12724,12746,12881,12883,3681,11335,12392,12495,12498,12592,12634,12638,12646,12718,12848,3690,12462,12945,12947,3697,3417,12892,3418,12937,12939,12941,3384,12800,4608,4609,11977,4371,12911,3421,12928,3261,3317,12873,3318,12924,3319,3320,3321,12674,12932,4607,3739,4589,10414,10424,10437,10448,10451,10555,10558,10561,10663,10798,11108,11301,11304,11327,11330,11527,11628,11635,11649,11695,11698,11731,11746,11809,11868,11884,12178,12203,12217,12246,12252,12346,12458,12627,12688,3502,3466,12951,3649,12150,3368,4595,10647,10747,11211,11313,3058,3060,3061,3064,3065,3067,3068,3071,3072,3073,3079,3081,3083,3084,3085,3086,3091,3092,3096,3101,3104,3105,3112,3118,3123,3126,3127,3131,3137,3143,3156,3163,3176,3180,3181,3182,3194,3201,3206,3207,3215,3219,3222,3223,3224,3225,3226,3230,4586,3244,3316,4587,3778,4003,11915,3294,11625,3429,3405,3408,10486,10489,10582,10585,10901,11640,11643,11757,11796,11801,11910,12364,12568,12778,12830,12832,12840,12863,12865,12867,12871,12890,12898,12922,3379,12659,12663,12667,3385,3394,3898,4200,3362,13227,3513,12721,12803,3284,3643,3989,11671,3501,3345,3280,3307,3758,3303,3499,4106,3997,3820,3292,3293,3271,3910,3327,3505,11058,11185,12459,12678,3378,4071,4602,10477,10644,11524,12619,12660,12664,4605,12631,3438,11997,12000,4029,4632,11237,11340,11580,11583,3839,3550,3764,4611,3517,12836,12838,12879,3342,3343,10547,10877,3602,3335,3262,3364,11661,4214,12649,12790,4073,11257,11396,11455,12603,12609,12735,12738,12768,4650,11160,11409,11518,11544,11588,11594,12545,4651,11290,11412,11521,4652,11415,4653,11473,4654,3363,3641,12501,12542,12630,3804,3590,4485,4486,3662,4600,11654,3782,3741,3784,3953,3708,13147,13151,13155,13159,13169,3999,12492,3627,3881,3514,10566,10686,10764,10837,10840,10880,10980,11227,11845,12094,12174,12239,12317,12355,12430,12433,12772,13030,13069,13072,13130,3891,11901,3431,3526,11730,3703,4626,10454,10457,10483,10607,10782,10988,11003,11118,11566,11664,11844,12065,12070,12293,12296,12376,12548,12653,12976,12995,12998,13022,13073,13243,13248,13268,4638,11773,11804,11841,11848,11881,13082,13086,3878,3650,3651,13001,13004,13007,13010,13040,4021,3474,3476,3450,4623,3341,4597,3830,4136,3634,4639,4207,11541,3763,3486,12018,12021,12466,12572,12749,4630,10442,10445,10615,10710,10729,10736,10759,10767,10770,10787,10973,11214,11435,11724,11818,11966,12083,12086,4176,4135,12167,12516,4082,11055,12349,12526,4130,11263,12389,12465,12525,12571,3805,11852,12177,12324,12397,12449,4164,3822,10610,10707,11260,11345,11428,11492,12345,12411,12683,12745,12765,12775,4642,11006,11420,3447,10575,10673,10823,10887,10962,11009,11012,11043,11066,11102,11140,11179,11969,12015,12147,12202,12220,12223,12226,12229,12404,12418,12421,12424,12427,12509,12575,12694,12741,13023,13046,13122,13133,13138,13141,13144,13177,13188,13201,13254,3448,10602,10658,10892,10983,11105,11749,12048,12051,12062,12153,12164,12183,12188,12232,12255,12272,13037,13181,13204,13244,13249,13269,3449,12436,12439,3522,12381,13102,13148,13152,13156,13160,13170,13174,4622,10494,10523,11027,11069,11078,11929,11950,12121,12124,12127,12130,12216,12235,12238,12251,12305,12308,12311,12314,12477,12480,12578,12581,12687,12727,12812,3597,10752,10843,11113,11157,11399,11402,11481,11563,11734,11980,12626,12815,4634,11036,11149,11170,11173,11240,11243,11254,11361,11369,11383,11423,11440,11449,11489,11530,11535,11538,11557,11560,11597,11602,11605,11608,11611,11851,11994,12027,12299,12302,12336,12382,12407,12554,12600,12606,12706,12709,12731,12789,12795,12806,12822,13101,13114,13117,3507,10874,10904,10913,10916,10919,11510,12728,12742,13083,13087,13090,3546,3539,3957,3896,10526,11904,11932,13064,4631,10474,10862,10865,11364,11380,11867,11920,11954,11981,12080,12109,12112,12115,12118,12375,3468,10907,11063,11133,11933,12079,12277,12485,12510,3920,12024,13017,4255,3656,4628,3931,3965,4614,4617,4618,3424,3428,4616,4615,4378,3753,4349,11756,4644,10773,10776,4649,11246,11249,11443,11554,11571,11617,4039,11614,11953,11957,12637,12645,12734,3886,11176,11182,11200,12199,12329,12410,3737,11318,11446,12442,12551,12561,12642,12697,12705,12819,4212,3888,10910,11279,11452,11486,11497,12641,3598,3704,10826,10829,10922,11089,3706,4647,11898,4643,12985,4648,10666,10779,12504,12513,12557,12759,4310,11046,12522,12537,4218,3919,12825,3864,3865,4645,10499,10502,10868,10871,11770,11958,12771,4646,11878,11963,3889,10832,11095,4150,4661,4687,4742,4746,4770,4785,4792,4794,4830,4835,4864,4870,4956,4982,4983,4998,5024,5052,5053,5076,5077,5091,5095,5120,5126,5142,5146,5147,5148,5153,5154,5177,5202,5204,5205,5215,5220,5226,5262,5263,5271,5279,5283,5285,5299,5302,5308,5313,5314,5327,5333,5336,5337,5341,5369,5384,5393,5395,5396,5399,5400,5401,5411,5413,5419,5420,5421,5427,5431,5432,5433,5441,5445,5446,5452,5465,5473,5486,5488,5496,5498,5499,5502,5506,5533,5547,5548,5563,5575,5597,5603,5627,5628,5631,5650,5658,5659,5664,5665,5675,5677,5690,5694,5703,5704,5706,5707,5723,5728,5737,5738,5749,5756,5770,5774,5777,5783,5784,5785,5788,5793,5829,5830,5833,5835,5837,5839,5840,5841,5843,5845,5847,5852,5859,5874,5888,5895,5896,5908,5919,5920,5927,5931,5933,5938,5946,5984,5998,6007,6010,6019,6023,6024,6025,6026,6027,6032,6037,6047,6053,6071,6075,6084,6113,6129,6155,6172,6173,6176,6191,6193,6195,6197,6212,6213,6216,6218,6221,6222,6239,6247,6248,6249,6251,6253,6290,6291,6296,6299,6305,6309,6343,6345,6347,6349,6359,6361,6364,6370,6372,6377,6380,6388,6396,6398,6399,6406,6429,6430,6431,6432,6433,6435,6441,6446,6480,6481,6484,6485,6486,6488,6489,6490,6491,6498,6533,6534,6543,6564,6565,6589,6591,6603,6604,6610,6640,6642,6657,6698,6700,6701,6757,6780,6823,6838,6846,6855,6856,6857,6858,6878,6879,6886,6898,6901,6903,6905,6906,6907,6909,6923,6934,6935,6936,6949,7003,7014,7016,7038,7039,7075,7082,7089,7119,7150,7206,7235,7292,7313,7322,7325,7385,7395,7457,7459,7473,7482,7483,7484,7501,7505,7507,7554,7564,7567,7582,7629,7631,7634,7678,7679,7697,7767,7785,7809,7833,7845,7859,7870,7881,7882,7908,7910,7912,7923,7963,7974,7999,8026,8058,8089,8123,8162,8178,8180,8196,8197,8263,8274,8339,8363,8383,8410,8449,8450,8467,8507,8509,8511,8517,8532,8536,8551,8572,8580,8582,8592,8597,8601,8602,8603,8604,8605,8606,8625,8639,8640,8658,8660,8664,8665,8666,8667,8668,8688,8689,8690,8700,8713,8716,8728,8733,8735,8737,8738,8739,8746,8747,8753,8761,8764,8781,8782,8784,8792,8793,8801,8820,8833,8837,8858,8880,8881,8884,8885,8891,8900,8901,8924,8935,8945,8946,8947,8950,8973,8974,8985,9034,9040,9046,9048,9064,9067,9078,9079,9080,9091,9155,9186,9187,9188,9203,9220,9228,9256,9257,9326,9359,9365,9375,9376,9377,9386,9416,9432,9436,9440,9462,9463,9490,9552,9557,9560,9597,9598,9599,9627,9628,9644,9665,9671,9683,9708,9729,9738,9739,9740,9741,9756,9758,9763,9793,9794,9800,9801,9847,9848,9859,9860,9884,9903,9905,9906,9914,9919,9926,9950,9985,9987,9991,10041,10077,10087,10089,10093,10094,10096,10105,10106,10126,10131,10225,10318,10319,10320,10321,10380,10398,2,8,9,4674,4675,4693,4735,4736,4738,4761,4763,4764,4774,4819,4821,4869,4999,5000,5017,5041,5098,5099,5105,5106,5108,5110,5119,5122,5123,5131,5144,5145,5151,5172,5173,5191,5196,5197,5198,5199,5203,5211,5214,5221,5276,5281,5282,5287,5293,5324,5334,5339,5349,5366,5368,5375,5376,5378,5389,5407,5409,5410,5417,5424,5425,5437,5438,5439,5440,5442,5443,5448,5449,5450,5451,5482,5483,5484,5492,5493,5494,5495,5539,5544,5546,5582,5584,5585,5587,5588,5590,5591,5593,5602,5607,5609,5610,5611,5613,5615,5616,5617,5618,5619,5620,5629,5639,5642,5653,5669,5670,5673,5683,5686,5687,5688,5715,5725,5740,5741,5750,5751,5753,5755,5760,5795,5800,5802,5861,5897,5898,5912,5918,5921,5922,5923,5924,5943,5947,5948,5957,5979,6011,6030,6031,6035,6036,6038,6063,6064,6065,6069,6070,6086,6097,6098,6131,6132,6136,6157,6160,6163,6185,6186,6214,6217,6226,6235,6237,6246,6250,6258,6259,6260,6261,6293,6310,6363,6400,6402,6403,6426,6427,6434,6438,6439,6442,6456,6472,6493,6494,6499,6510,6513,6526,6546,6552,6554,6569,6570,6573,6574,6576,6578,6579,6580,6582,6584,6590,6596,6597,6599,6600,6606,6608,6650,6656,6671,6675,6676,6677,6711,6716,6718,6723,6724,6734,6738,6752,6775,6776,6778,6779,6790,6796,6815,6818,6839,6859,6872,6873,6874,6880,6894,6913,6915,6917,6919,6924,6930,6932,6946,6951,6952,6989,6990,6991,7005,7006,7008,7009,7028,7030,7045,7073,7097,7108,7110,7112,7114,7115,7147,7148,7149,7153,7154,7161,7162,7164,7166,7188,7197,7198,7209,7219,7259,7269,7275,7282,7293,7298,7300,7307,7316,7329,7346,7367,7369,7388,7442,7443,7444,7446,7448,7452,7453,7458,7522,7550,7565,7581,7612,7616,7637,7662,7680,7683,7684,7694,7714,7716,7718,7720,7721,7722,7723,7724,7749,7775,7776,7808,7810,7811,7812,7818,7839,7856,7861,7867,7869,7877,7889,7890,7892,7913,7921,7942,8012,8013,8014,8061,8067,8068,8092,8093,8110,8111,8112,8169,8170,8199,8229,8238,8251,8266,8295,8299,8305,8317,8335,8340,8362,8375,8408,8437,8451,8471,8474,8500,8525,8583,8584,8587,8588,8656,8692,8693,8694,8695,8723,8756,8786,8794,8795,8836,8857,8902,8918,8964,8967,8982,8989,9031,9074,9075,9093,9094,9108,9225,9230,9234,9254,9265,9288,9290,9293,9299,9301,9302,9313,9314,9333,9339,9350,9358,9402,9420,9475,9476,9482,9521,9544,9549,9589,9603,9607,9608,9612,9613,9626,9649,9664,9673,9674,9676,9678,9707,9828,9829,9879,9880,9920,9955,10066,10135,10291,10310,10315,3,2783,2784,2785,2786,2788,2789,2792,2795,2796,2797,2803,2804,2805,2810,2811,2812,2813,2814,2815,2816,2819,2822,2823,2824,2827,2829,2833,2836,2837,2839,2840,2841,2846,2847,2848,2849,2850,2854,2858,2859,2860,2861,2892,2893,2895,2896,2898,2899,2901,2902,2903,2906,2907,2908,2910,2911,2912,2918,2920,2921,2928,2930,2931,2932,2945,2946,2947,2949,2954,2956,2957,2959,2960,2964,2965,2969,2979,2980,2981,3009,3032,5365,5406,5555,5556,5557,5640,5739,5769,5803,5819,5821,5827,5889,5890,5891,5892,5910,5945,6081,6120,6130,6154,6189,6227,6379,6384,6424,6425,6447,6449,6451,6458,6459,6460,6461,6462,6463,6464,6465,6547,6620,6621,6710,6747,6748,6787,6788,6931,6945,7018,7019,7025,7046,7079,7081,7085,7130,7151,7152,7170,7171,7208,7253,7254,7353,7421,7422,7423,7424,7441,7474,7527,7528,7536,7541,7542,7553,7584,7585,7586,7587,7730,7731,7733,7735,7741,7742,7816,7948,7953,7959,7960,7971,8009,8010,8087,8128,8182,8204,8205,8281,8376,8447,8448,8452,8486,8547,8548,8615,8632])).
% 164.10/163.71 cnf(13279,plain,
% 164.10/163.71 (P107(f316(f316(f224(a898),x132791),x132791))),
% 164.10/163.71 inference(rename_variables,[],[3447])).
% 164.10/163.71 cnf(13281,plain,
% 164.10/163.71 (~P107(f316(f316(f225(f905(a898,a895)),f292(a898,f316(a102,x132811),f316(a102,x132811))),f292(a898,x132812,x132811)))),
% 164.10/163.71 inference(scs_inference,[],[4097,12724,12746,12881,12883,3681,11335,12392,12495,12498,12592,12634,12638,12646,12718,12848,3690,12462,12945,12947,3697,3417,12892,3418,12937,12939,12941,3384,12800,4608,4609,11977,4371,12911,3421,12928,3261,3317,12873,3318,12924,3319,3320,3321,12674,12932,4607,3739,4589,10414,10424,10437,10448,10451,10555,10558,10561,10663,10798,11108,11301,11304,11327,11330,11527,11628,11635,11649,11695,11698,11731,11746,11809,11868,11884,12178,12203,12217,12246,12252,12346,12458,12627,12688,3502,3466,12951,3649,12150,3368,4595,10647,10747,11211,11313,3058,3060,3061,3064,3065,3067,3068,3071,3072,3073,3079,3081,3083,3084,3085,3086,3091,3092,3096,3101,3104,3105,3112,3118,3123,3126,3127,3131,3137,3143,3156,3163,3176,3180,3181,3182,3194,3201,3206,3207,3215,3219,3222,3223,3224,3225,3226,3230,4586,3244,3316,4587,3778,4003,11915,3294,11625,3429,3405,3408,10486,10489,10582,10585,10901,11640,11643,11757,11796,11801,11910,12364,12568,12778,12830,12832,12840,12863,12865,12867,12871,12890,12898,12922,3379,12659,12663,12667,3385,3394,3898,4200,3362,13227,3513,12721,12803,3284,3643,3989,11671,3501,3345,3280,3307,3758,3303,3499,4106,3997,3820,3292,3293,3271,3910,3327,3505,11058,11185,12459,12678,3378,4071,4602,10477,10644,11524,12619,12660,12664,4605,12631,3438,11997,12000,4029,4632,11237,11340,11580,11583,3839,3550,3764,4611,3517,12836,12838,12879,3342,3343,10547,10877,3602,3335,3262,3364,11661,4214,12649,12790,4073,11257,11396,11455,12603,12609,12735,12738,12768,4650,11160,11409,11518,11544,11588,11594,12545,4651,11290,11412,11521,4652,11415,4653,11473,4654,3363,3641,12501,12542,12630,3804,3590,4485,4486,3662,4600,11654,3782,3741,3784,3953,3708,13147,13151,13155,13159,13169,3999,12492,3627,3881,3514,10566,10686,10764,10837,10840,10880,10980,11227,11845,12094,12174,12239,12317,12355,12430,12433,12772,13030,13069,13072,13130,3891,11901,3431,3526,11730,3703,4626,10454,10457,10483,10607,10782,10988,11003,11118,11566,11664,11844,12065,12070,12293,12296,12376,12548,12653,12976,12995,12998,13022,13073,13243,13248,13268,4638,11773,11804,11841,11848,11881,13082,13086,3878,3650,3651,13001,13004,13007,13010,13040,4021,3474,3476,3450,4623,3341,4597,3830,4136,3634,4639,4207,11541,3763,3486,12018,12021,12466,12572,12749,4630,10442,10445,10615,10710,10729,10736,10759,10767,10770,10787,10973,11214,11435,11724,11818,11966,12083,12086,4176,4135,12167,12516,4082,11055,12349,12526,4130,11263,12389,12465,12525,12571,3805,11852,12177,12324,12397,12449,4164,3822,10610,10707,11260,11345,11428,11492,12345,12411,12683,12745,12765,12775,4642,11006,11420,3447,10575,10673,10823,10887,10962,11009,11012,11043,11066,11102,11140,11179,11969,12015,12147,12202,12220,12223,12226,12229,12404,12418,12421,12424,12427,12509,12575,12694,12741,13023,13046,13122,13133,13138,13141,13144,13177,13188,13201,13254,13279,3448,10602,10658,10892,10983,11105,11749,12048,12051,12062,12153,12164,12183,12188,12232,12255,12272,13037,13181,13204,13244,13249,13269,3449,12436,12439,3522,12381,13102,13148,13152,13156,13160,13170,13174,4622,10494,10523,11027,11069,11078,11929,11950,12121,12124,12127,12130,12216,12235,12238,12251,12305,12308,12311,12314,12477,12480,12578,12581,12687,12727,12812,3597,10752,10843,11113,11157,11399,11402,11481,11563,11734,11980,12626,12815,4634,11036,11149,11170,11173,11240,11243,11254,11361,11369,11383,11423,11440,11449,11489,11530,11535,11538,11557,11560,11597,11602,11605,11608,11611,11851,11994,12027,12299,12302,12336,12382,12407,12554,12600,12606,12706,12709,12731,12789,12795,12806,12822,13101,13114,13117,3507,10874,10904,10913,10916,10919,11510,12728,12742,13083,13087,13090,3546,3539,3957,3896,10526,11904,11932,13064,4631,10474,10862,10865,11364,11380,11867,11920,11954,11981,12080,12109,12112,12115,12118,12375,3468,10907,11063,11133,11933,12079,12277,12485,12510,3920,12024,13017,4255,3656,4628,3931,3965,4614,4617,4618,3424,3428,4616,4615,4378,3753,4349,11756,4644,10773,10776,4649,11246,11249,11443,11554,11571,11617,4039,11614,11953,11957,12637,12645,12734,3886,11176,11182,11200,12199,12329,12410,3737,11318,11446,12442,12551,12561,12642,12697,12705,12819,4212,3888,10910,11279,11452,11486,11497,12641,3598,3704,10826,10829,10922,11089,3706,4647,11898,4643,12985,4648,10666,10779,12504,12513,12557,12759,4310,11046,12522,12537,4218,3919,12825,3864,3865,4645,10499,10502,10868,10871,11770,11958,12771,4646,11878,11963,3889,10832,11095,4150,4661,4687,4742,4746,4770,4785,4792,4794,4830,4835,4864,4870,4956,4982,4983,4998,5024,5052,5053,5076,5077,5091,5095,5120,5126,5142,5146,5147,5148,5153,5154,5177,5202,5204,5205,5215,5220,5226,5262,5263,5271,5279,5283,5285,5299,5302,5308,5313,5314,5327,5333,5336,5337,5341,5369,5384,5393,5395,5396,5399,5400,5401,5411,5413,5419,5420,5421,5427,5431,5432,5433,5441,5445,5446,5452,5465,5473,5486,5488,5496,5498,5499,5502,5506,5533,5547,5548,5563,5575,5597,5603,5627,5628,5631,5650,5658,5659,5664,5665,5675,5677,5690,5694,5703,5704,5706,5707,5723,5728,5737,5738,5749,5756,5770,5774,5777,5783,5784,5785,5788,5793,5829,5830,5833,5835,5837,5839,5840,5841,5843,5845,5847,5852,5859,5874,5888,5895,5896,5908,5919,5920,5927,5931,5933,5938,5946,5984,5998,6007,6010,6019,6023,6024,6025,6026,6027,6032,6037,6047,6053,6071,6075,6084,6113,6129,6155,6172,6173,6176,6191,6193,6195,6197,6212,6213,6216,6218,6221,6222,6239,6247,6248,6249,6251,6253,6290,6291,6296,6299,6305,6309,6343,6345,6347,6349,6359,6361,6364,6370,6372,6377,6380,6388,6396,6398,6399,6406,6429,6430,6431,6432,6433,6435,6441,6446,6480,6481,6484,6485,6486,6488,6489,6490,6491,6498,6533,6534,6543,6564,6565,6589,6591,6603,6604,6610,6640,6642,6657,6698,6700,6701,6757,6780,6823,6838,6846,6855,6856,6857,6858,6878,6879,6886,6898,6901,6903,6905,6906,6907,6909,6923,6934,6935,6936,6949,7003,7014,7016,7038,7039,7075,7082,7089,7119,7150,7206,7235,7292,7313,7322,7325,7385,7395,7457,7459,7473,7482,7483,7484,7501,7505,7507,7554,7564,7567,7582,7629,7631,7634,7678,7679,7697,7767,7785,7809,7833,7845,7859,7870,7881,7882,7908,7910,7912,7923,7963,7974,7999,8026,8058,8089,8123,8162,8178,8180,8196,8197,8263,8274,8339,8363,8383,8410,8449,8450,8467,8507,8509,8511,8517,8532,8536,8551,8572,8580,8582,8592,8597,8601,8602,8603,8604,8605,8606,8625,8639,8640,8658,8660,8664,8665,8666,8667,8668,8688,8689,8690,8700,8713,8716,8728,8733,8735,8737,8738,8739,8746,8747,8753,8761,8764,8781,8782,8784,8792,8793,8801,8820,8833,8837,8858,8880,8881,8884,8885,8891,8900,8901,8924,8935,8945,8946,8947,8950,8973,8974,8985,9034,9040,9046,9048,9064,9067,9078,9079,9080,9091,9155,9186,9187,9188,9203,9220,9228,9256,9257,9326,9359,9365,9375,9376,9377,9386,9416,9432,9436,9440,9462,9463,9490,9552,9557,9560,9597,9598,9599,9627,9628,9644,9665,9671,9683,9708,9729,9738,9739,9740,9741,9756,9758,9763,9793,9794,9800,9801,9847,9848,9859,9860,9884,9903,9905,9906,9914,9919,9926,9950,9985,9987,9991,10041,10077,10087,10089,10093,10094,10096,10105,10106,10126,10131,10225,10318,10319,10320,10321,10380,10398,2,8,9,4674,4675,4693,4735,4736,4738,4761,4763,4764,4774,4819,4821,4869,4999,5000,5017,5041,5098,5099,5105,5106,5108,5110,5119,5122,5123,5131,5144,5145,5151,5172,5173,5191,5196,5197,5198,5199,5203,5211,5214,5221,5276,5281,5282,5287,5293,5324,5334,5339,5349,5366,5368,5375,5376,5378,5389,5407,5409,5410,5417,5424,5425,5437,5438,5439,5440,5442,5443,5448,5449,5450,5451,5482,5483,5484,5492,5493,5494,5495,5539,5544,5546,5582,5584,5585,5587,5588,5590,5591,5593,5602,5607,5609,5610,5611,5613,5615,5616,5617,5618,5619,5620,5629,5639,5642,5653,5669,5670,5673,5683,5686,5687,5688,5715,5725,5740,5741,5750,5751,5753,5755,5760,5795,5800,5802,5861,5897,5898,5912,5918,5921,5922,5923,5924,5943,5947,5948,5957,5979,6011,6030,6031,6035,6036,6038,6063,6064,6065,6069,6070,6086,6097,6098,6131,6132,6136,6157,6160,6163,6185,6186,6214,6217,6226,6235,6237,6246,6250,6258,6259,6260,6261,6293,6310,6363,6400,6402,6403,6426,6427,6434,6438,6439,6442,6456,6472,6493,6494,6499,6510,6513,6526,6546,6552,6554,6569,6570,6573,6574,6576,6578,6579,6580,6582,6584,6590,6596,6597,6599,6600,6606,6608,6650,6656,6671,6675,6676,6677,6711,6716,6718,6723,6724,6734,6738,6752,6775,6776,6778,6779,6790,6796,6815,6818,6839,6859,6872,6873,6874,6880,6894,6913,6915,6917,6919,6924,6930,6932,6946,6951,6952,6989,6990,6991,7005,7006,7008,7009,7028,7030,7045,7073,7097,7108,7110,7112,7114,7115,7147,7148,7149,7153,7154,7161,7162,7164,7166,7188,7197,7198,7209,7219,7259,7269,7275,7282,7293,7298,7300,7307,7316,7329,7346,7367,7369,7388,7442,7443,7444,7446,7448,7452,7453,7458,7522,7550,7565,7581,7612,7616,7637,7662,7680,7683,7684,7694,7714,7716,7718,7720,7721,7722,7723,7724,7749,7775,7776,7808,7810,7811,7812,7818,7839,7856,7861,7867,7869,7877,7889,7890,7892,7913,7921,7942,8012,8013,8014,8061,8067,8068,8092,8093,8110,8111,8112,8169,8170,8199,8229,8238,8251,8266,8295,8299,8305,8317,8335,8340,8362,8375,8408,8437,8451,8471,8474,8500,8525,8583,8584,8587,8588,8656,8692,8693,8694,8695,8723,8756,8786,8794,8795,8836,8857,8902,8918,8964,8967,8982,8989,9031,9074,9075,9093,9094,9108,9225,9230,9234,9254,9265,9288,9290,9293,9299,9301,9302,9313,9314,9333,9339,9350,9358,9402,9420,9475,9476,9482,9521,9544,9549,9589,9603,9607,9608,9612,9613,9626,9649,9664,9673,9674,9676,9678,9707,9828,9829,9879,9880,9920,9955,10066,10135,10291,10310,10315,3,2783,2784,2785,2786,2788,2789,2792,2795,2796,2797,2803,2804,2805,2810,2811,2812,2813,2814,2815,2816,2819,2822,2823,2824,2827,2829,2833,2836,2837,2839,2840,2841,2846,2847,2848,2849,2850,2854,2858,2859,2860,2861,2892,2893,2895,2896,2898,2899,2901,2902,2903,2906,2907,2908,2910,2911,2912,2918,2920,2921,2928,2930,2931,2932,2945,2946,2947,2949,2954,2956,2957,2959,2960,2964,2965,2969,2979,2980,2981,3009,3032,5365,5406,5555,5556,5557,5640,5739,5769,5803,5819,5821,5827,5889,5890,5891,5892,5910,5945,6081,6120,6130,6154,6189,6227,6379,6384,6424,6425,6447,6449,6451,6458,6459,6460,6461,6462,6463,6464,6465,6547,6620,6621,6710,6747,6748,6787,6788,6931,6945,7018,7019,7025,7046,7079,7081,7085,7130,7151,7152,7170,7171,7208,7253,7254,7353,7421,7422,7423,7424,7441,7474,7527,7528,7536,7541,7542,7553,7584,7585,7586,7587,7730,7731,7733,7735,7741,7742,7816,7948,7953,7959,7960,7971,8009,8010,8087,8128,8182,8204,8205,8281,8376,8447,8448,8452,8486,8547,8548,8615,8632,8633])).
% 164.10/163.71 cnf(13282,plain,
% 164.10/163.71 (P107(f316(f316(f224(a898),x132821),x132821))),
% 164.10/163.71 inference(rename_variables,[],[3447])).
% 164.10/163.71 cnf(13285,plain,
% 164.10/163.71 (~P107(f316(f316(f224(a898),f316(a102,x132851)),x132851))),
% 164.10/163.71 inference(rename_variables,[],[4631])).
% 164.10/163.71 cnf(13290,plain,
% 164.10/163.71 (E(x132901,f869(f316(f5(x132902),f316(f5(x132902),x132901)),f5(x132902),x132902,x132902))),
% 164.10/163.71 inference(scs_inference,[],[4097,12724,12746,12881,12883,3681,11335,12392,12495,12498,12592,12634,12638,12646,12718,12848,12850,3690,12462,12945,12947,3697,3417,12892,3418,12937,12939,12941,3384,12800,4608,4609,11977,4371,12911,3421,12928,3261,3317,12873,3318,12924,3319,3320,3321,12674,12932,4607,3739,4589,10414,10424,10437,10448,10451,10555,10558,10561,10663,10798,11108,11301,11304,11327,11330,11527,11628,11635,11649,11695,11698,11731,11746,11809,11868,11884,12178,12203,12217,12246,12252,12346,12458,12627,12688,3502,3466,12951,3649,12150,3368,4595,10647,10747,11211,11313,3058,3060,3061,3064,3065,3067,3068,3071,3072,3073,3079,3081,3083,3084,3085,3086,3091,3092,3096,3101,3104,3105,3112,3118,3123,3126,3127,3131,3137,3143,3156,3163,3176,3180,3181,3182,3194,3201,3206,3207,3215,3219,3222,3223,3224,3225,3226,3230,4586,3244,3316,4587,3778,4003,11915,3294,11625,3429,3405,3408,10486,10489,10582,10585,10901,11640,11643,11757,11796,11801,11910,12364,12568,12778,12830,12832,12840,12863,12865,12867,12871,12890,12898,12922,3379,12659,12663,12667,3385,3394,3898,4200,3362,13227,3513,12721,12803,3283,3284,3643,3989,11671,3501,3345,3280,3307,3758,3303,3499,4106,3997,3820,3292,3293,3271,3910,3327,3505,11058,11185,12459,12678,3378,4071,4602,10477,10644,11524,12619,12660,12664,4605,12631,3438,11997,12000,4029,4632,11237,11340,11580,11583,3839,3550,3764,4611,3517,12836,12838,12879,3342,3343,10547,10877,3602,3335,3262,3364,11661,4214,12649,12790,4073,11257,11396,11455,12603,12609,12735,12738,12768,4650,11160,11409,11518,11544,11588,11594,12545,4651,11290,11412,11521,4652,11415,4653,11473,4654,3363,3641,12501,12542,12630,3804,3590,4485,4486,3662,4600,11654,3782,3741,3784,3953,3708,13147,13151,13155,13159,13169,3999,12492,3627,3881,3514,10566,10686,10764,10837,10840,10880,10980,11227,11845,12094,12174,12239,12317,12355,12430,12433,12772,13030,13069,13072,13130,3891,11901,3431,3526,11730,3703,4626,10454,10457,10483,10607,10782,10988,11003,11118,11566,11664,11844,12065,12070,12293,12296,12376,12548,12653,12976,12995,12998,13022,13073,13243,13248,13268,4638,11773,11804,11841,11848,11881,13082,13086,3878,3650,3651,13001,13004,13007,13010,13040,4021,3474,3476,3450,4623,3341,4597,3830,4136,3634,4639,4207,11541,3763,3486,12018,12021,12466,12572,12749,4630,10442,10445,10615,10710,10729,10736,10759,10767,10770,10787,10973,11214,11435,11724,11818,11966,12083,12086,4176,4135,12167,12516,4082,11055,12349,12526,4130,11263,12389,12465,12525,12571,3805,11852,12177,12324,12397,12449,4164,3822,10610,10707,11260,11345,11428,11492,12345,12411,12683,12745,12765,12775,4642,11006,11420,3447,10575,10673,10823,10887,10962,11009,11012,11043,11066,11102,11140,11179,11969,12015,12147,12202,12220,12223,12226,12229,12404,12418,12421,12424,12427,12509,12575,12694,12741,13023,13046,13122,13133,13138,13141,13144,13177,13188,13201,13254,13279,13282,3448,10602,10658,10892,10983,11105,11749,12048,12051,12062,12153,12164,12183,12188,12232,12255,12272,13037,13181,13204,13244,13249,13269,3449,12436,12439,3522,12381,13102,13148,13152,13156,13160,13170,13174,4622,10494,10523,11027,11069,11078,11929,11950,12121,12124,12127,12130,12216,12235,12238,12251,12305,12308,12311,12314,12477,12480,12578,12581,12687,12727,12812,3597,10752,10843,11113,11157,11399,11402,11481,11563,11734,11980,12626,12815,4634,11036,11149,11170,11173,11240,11243,11254,11361,11369,11383,11423,11440,11449,11489,11530,11535,11538,11557,11560,11597,11602,11605,11608,11611,11851,11994,12027,12299,12302,12336,12382,12407,12554,12600,12606,12706,12709,12731,12789,12795,12806,12822,13101,13114,13117,3507,10874,10904,10913,10916,10919,11510,12728,12742,13083,13087,13090,3546,3539,3957,3896,10526,11904,11932,13064,4631,10474,10862,10865,11364,11380,11867,11920,11954,11981,12080,12109,12112,12115,12118,12375,13285,3468,10907,11063,11133,11933,12079,12277,12485,12510,3920,12024,13017,4255,3656,4628,3931,3965,4614,4617,4618,3424,3428,4616,4615,4378,3753,4349,11756,4644,10773,10776,4649,11246,11249,11443,11554,11571,11617,4039,11614,11953,11957,12637,12645,12734,13230,3886,11176,11182,11200,12199,12329,12410,3737,11318,11446,12442,12551,12561,12642,12697,12705,12819,4212,3888,10910,11279,11452,11486,11497,12641,3598,3704,10826,10829,10922,11089,3706,4647,11898,4643,12985,4648,10666,10779,12504,12513,12557,12759,4310,11046,12522,12537,4218,3919,12825,3864,3865,4645,10499,10502,10868,10871,11770,11958,12771,4646,11878,11963,3889,10832,11095,4150,4661,4687,4742,4746,4770,4785,4792,4794,4830,4835,4864,4870,4956,4982,4983,4998,5024,5052,5053,5076,5077,5091,5095,5120,5126,5142,5146,5147,5148,5153,5154,5177,5202,5204,5205,5215,5220,5226,5262,5263,5271,5279,5283,5285,5299,5302,5308,5313,5314,5327,5333,5336,5337,5341,5369,5384,5393,5395,5396,5399,5400,5401,5411,5413,5419,5420,5421,5427,5431,5432,5433,5441,5445,5446,5452,5465,5473,5486,5488,5496,5498,5499,5502,5506,5533,5547,5548,5563,5575,5597,5603,5627,5628,5631,5650,5658,5659,5664,5665,5675,5677,5690,5694,5703,5704,5706,5707,5723,5728,5737,5738,5749,5756,5770,5774,5777,5783,5784,5785,5788,5793,5829,5830,5833,5835,5837,5839,5840,5841,5843,5845,5847,5852,5859,5874,5888,5895,5896,5908,5919,5920,5927,5931,5933,5938,5946,5984,5998,6007,6010,6019,6023,6024,6025,6026,6027,6032,6037,6047,6053,6071,6075,6084,6113,6129,6155,6172,6173,6176,6191,6193,6195,6197,6212,6213,6216,6218,6221,6222,6239,6247,6248,6249,6251,6253,6290,6291,6296,6299,6305,6309,6343,6345,6347,6349,6359,6361,6364,6370,6372,6377,6380,6388,6396,6398,6399,6406,6429,6430,6431,6432,6433,6435,6441,6446,6480,6481,6484,6485,6486,6488,6489,6490,6491,6498,6533,6534,6543,6564,6565,6589,6591,6603,6604,6610,6640,6642,6657,6698,6700,6701,6757,6780,6823,6838,6846,6855,6856,6857,6858,6878,6879,6886,6898,6901,6903,6905,6906,6907,6909,6923,6934,6935,6936,6949,7003,7014,7016,7038,7039,7075,7082,7089,7119,7150,7206,7235,7292,7313,7322,7325,7385,7395,7457,7459,7473,7482,7483,7484,7501,7505,7507,7554,7564,7567,7582,7629,7631,7634,7678,7679,7697,7767,7785,7809,7833,7845,7859,7870,7881,7882,7908,7910,7912,7923,7963,7974,7999,8026,8058,8089,8123,8162,8178,8180,8196,8197,8263,8274,8339,8363,8383,8410,8449,8450,8467,8507,8509,8511,8517,8532,8536,8551,8572,8580,8582,8592,8597,8601,8602,8603,8604,8605,8606,8625,8639,8640,8658,8660,8664,8665,8666,8667,8668,8688,8689,8690,8700,8713,8716,8728,8733,8735,8737,8738,8739,8746,8747,8753,8761,8764,8781,8782,8784,8792,8793,8801,8820,8833,8837,8858,8880,8881,8884,8885,8891,8900,8901,8924,8935,8945,8946,8947,8950,8973,8974,8985,9034,9040,9046,9048,9064,9067,9078,9079,9080,9091,9155,9186,9187,9188,9203,9220,9228,9256,9257,9326,9359,9365,9375,9376,9377,9386,9416,9432,9436,9440,9462,9463,9490,9552,9557,9560,9597,9598,9599,9627,9628,9644,9665,9671,9683,9708,9729,9738,9739,9740,9741,9756,9758,9763,9793,9794,9800,9801,9847,9848,9859,9860,9884,9903,9905,9906,9914,9919,9926,9950,9985,9987,9991,10041,10077,10087,10089,10093,10094,10096,10105,10106,10126,10131,10225,10318,10319,10320,10321,10380,10398,2,8,9,4674,4675,4693,4735,4736,4738,4761,4763,4764,4774,4819,4821,4869,4999,5000,5017,5041,5098,5099,5105,5106,5108,5110,5119,5122,5123,5131,5144,5145,5151,5172,5173,5191,5196,5197,5198,5199,5203,5211,5214,5221,5276,5281,5282,5287,5293,5324,5334,5339,5349,5366,5368,5375,5376,5378,5389,5407,5409,5410,5417,5424,5425,5437,5438,5439,5440,5442,5443,5448,5449,5450,5451,5482,5483,5484,5492,5493,5494,5495,5539,5544,5546,5582,5584,5585,5587,5588,5590,5591,5593,5602,5607,5609,5610,5611,5613,5615,5616,5617,5618,5619,5620,5629,5639,5642,5653,5669,5670,5673,5683,5686,5687,5688,5715,5725,5740,5741,5750,5751,5753,5755,5760,5795,5800,5802,5861,5897,5898,5912,5918,5921,5922,5923,5924,5943,5947,5948,5957,5979,6011,6030,6031,6035,6036,6038,6063,6064,6065,6069,6070,6086,6097,6098,6131,6132,6136,6157,6160,6163,6185,6186,6214,6217,6226,6235,6237,6246,6250,6258,6259,6260,6261,6293,6310,6363,6400,6402,6403,6426,6427,6434,6438,6439,6442,6456,6472,6493,6494,6499,6510,6513,6526,6546,6552,6554,6569,6570,6573,6574,6576,6578,6579,6580,6582,6584,6590,6596,6597,6599,6600,6606,6608,6650,6656,6671,6675,6676,6677,6711,6716,6718,6723,6724,6734,6738,6752,6775,6776,6778,6779,6790,6796,6815,6818,6839,6859,6872,6873,6874,6880,6894,6913,6915,6917,6919,6924,6930,6932,6946,6951,6952,6989,6990,6991,7005,7006,7008,7009,7028,7030,7045,7073,7097,7108,7110,7112,7114,7115,7147,7148,7149,7153,7154,7161,7162,7164,7166,7188,7197,7198,7209,7219,7259,7269,7275,7282,7293,7298,7300,7307,7316,7329,7346,7367,7369,7388,7442,7443,7444,7446,7448,7452,7453,7458,7522,7550,7565,7581,7612,7616,7637,7662,7680,7683,7684,7694,7714,7716,7718,7720,7721,7722,7723,7724,7749,7775,7776,7808,7810,7811,7812,7818,7839,7856,7861,7867,7869,7877,7889,7890,7892,7913,7921,7942,8012,8013,8014,8061,8067,8068,8092,8093,8110,8111,8112,8169,8170,8199,8229,8238,8251,8266,8295,8299,8305,8317,8335,8340,8362,8375,8408,8437,8451,8471,8474,8500,8525,8583,8584,8587,8588,8656,8692,8693,8694,8695,8723,8756,8786,8794,8795,8836,8857,8902,8918,8964,8967,8982,8989,9031,9074,9075,9093,9094,9108,9225,9230,9234,9254,9265,9288,9290,9293,9299,9301,9302,9313,9314,9333,9339,9350,9358,9402,9420,9475,9476,9482,9521,9544,9549,9589,9603,9607,9608,9612,9613,9626,9649,9664,9673,9674,9676,9678,9707,9828,9829,9879,9880,9920,9955,10066,10135,10291,10310,10315,3,2783,2784,2785,2786,2788,2789,2792,2795,2796,2797,2803,2804,2805,2810,2811,2812,2813,2814,2815,2816,2819,2822,2823,2824,2827,2829,2833,2836,2837,2839,2840,2841,2846,2847,2848,2849,2850,2854,2858,2859,2860,2861,2892,2893,2895,2896,2898,2899,2901,2902,2903,2906,2907,2908,2910,2911,2912,2918,2920,2921,2928,2930,2931,2932,2945,2946,2947,2949,2954,2956,2957,2959,2960,2964,2965,2969,2979,2980,2981,3009,3032,5365,5406,5555,5556,5557,5640,5739,5769,5803,5819,5821,5827,5889,5890,5891,5892,5910,5945,6081,6120,6130,6154,6189,6227,6379,6384,6424,6425,6447,6449,6451,6458,6459,6460,6461,6462,6463,6464,6465,6547,6620,6621,6710,6747,6748,6787,6788,6931,6945,7018,7019,7025,7046,7079,7081,7085,7130,7151,7152,7170,7171,7208,7253,7254,7353,7421,7422,7423,7424,7441,7474,7527,7528,7536,7541,7542,7553,7584,7585,7586,7587,7730,7731,7733,7735,7741,7742,7816,7948,7953,7959,7960,7971,8009,8010,8087,8128,8182,8204,8205,8281,8376,8447,8448,8452,8486,8547,8548,8615,8632,8633,8634,8635,8790])).
% 164.10/163.71 cnf(13291,plain,
% 164.10/163.71 (P107(f316(f316(f318(x132911),f316(x132912,x132913)),f316(f299(x132914,x132911,x132912),f231(f905(x132914,a895)))))),
% 164.10/163.71 inference(rename_variables,[],[4039])).
% 164.10/163.71 cnf(13292,plain,
% 164.10/163.71 (P22(x132921,x132921,f5(x132921),x132922)),
% 164.10/163.71 inference(rename_variables,[],[3681])).
% 164.10/163.71 cnf(13297,plain,
% 164.10/163.71 (P107(f316(f316(f224(f905(x132971,a895)),x132972),f231(f905(x132971,a895))))),
% 164.10/163.71 inference(rename_variables,[],[3822])).
% 164.10/163.71 cnf(13298,plain,
% 164.10/163.71 (P22(x132981,x132981,f5(x132981),x132982)),
% 164.10/163.71 inference(rename_variables,[],[3681])).
% 164.10/163.71 cnf(13302,plain,
% 164.10/163.71 (P107(f316(f316(f224(f905(x133021,a895)),x133022),f231(f905(x133021,a895))))),
% 164.10/163.71 inference(rename_variables,[],[3822])).
% 164.10/163.71 cnf(13303,plain,
% 164.10/163.71 (P22(x133031,x133031,f5(x133031),x133032)),
% 164.10/163.71 inference(rename_variables,[],[3681])).
% 164.10/163.71 cnf(13307,plain,
% 164.10/163.71 (P22(x133071,x133071,f5(x133071),x133072)),
% 164.10/163.71 inference(rename_variables,[],[3681])).
% 164.10/163.71 cnf(13310,plain,
% 164.10/163.71 (~P107(f316(f316(f225(f905(x133101,a895)),x133102),f178(f905(x133101,a895))))),
% 164.10/163.71 inference(rename_variables,[],[4642])).
% 164.10/163.71 cnf(13313,plain,
% 164.10/163.71 (P22(x133131,x133131,f5(x133131),x133132)),
% 164.10/163.71 inference(rename_variables,[],[3681])).
% 164.10/163.71 cnf(13316,plain,
% 164.10/163.71 (P22(x133161,x133161,f5(x133161),x133162)),
% 164.10/163.71 inference(rename_variables,[],[3681])).
% 164.10/163.71 cnf(13322,plain,
% 164.10/163.71 (P107(f316(f316(f224(f905(x133221,a895)),x133222),f231(f905(x133221,a895))))),
% 164.10/163.71 inference(rename_variables,[],[3822])).
% 164.10/163.71 cnf(13327,plain,
% 164.10/163.71 (P107(f316(f316(f224(f905(x133271,a895)),f178(f905(x133271,a895))),x133272))),
% 164.10/163.71 inference(rename_variables,[],[3888])).
% 164.10/163.71 cnf(13331,plain,
% 164.10/163.71 (E(f316(f273(x133311,x133311),f252(x133311,x133312)),x133312)),
% 164.10/163.71 inference(rename_variables,[],[3408])).
% 164.10/163.71 cnf(13335,plain,
% 164.10/163.71 (~P107(f316(f316(f318(x133351),x133352),f178(f905(x133351,a895))))),
% 164.10/163.71 inference(rename_variables,[],[4634])).
% 164.10/163.71 cnf(13340,plain,
% 164.10/163.71 (P22(x133401,x133401,f5(x133401),x133402)),
% 164.10/163.71 inference(rename_variables,[],[3681])).
% 164.10/163.71 cnf(13343,plain,
% 164.10/163.71 (P107(f316(f316(f224(f905(x133431,a895)),x133432),f231(f905(x133431,a895))))),
% 164.10/163.71 inference(rename_variables,[],[3822])).
% 164.10/163.71 cnf(13351,plain,
% 164.10/163.71 (E(f316(f316(f16(x133511,x133512),x133513),x133514),x133513)),
% 164.10/163.71 inference(rename_variables,[],[3438])).
% 164.10/163.71 cnf(13354,plain,
% 164.10/163.71 (~P107(f316(f316(f318(x133541),x133542),f178(f905(x133541,a895))))),
% 164.10/163.71 inference(rename_variables,[],[4634])).
% 164.10/163.71 cnf(13357,plain,
% 164.10/163.71 (~P107(f316(f316(f318(x133571),x133572),f178(f905(x133571,a895))))),
% 164.10/163.71 inference(rename_variables,[],[4634])).
% 164.10/163.71 cnf(13362,plain,
% 164.10/163.71 (~E(f316(a102,x133621),x133621)),
% 164.10/163.71 inference(rename_variables,[],[4589])).
% 164.10/163.71 cnf(13365,plain,
% 164.10/163.71 (P107(f316(f316(f225(a898),x133651),f316(a102,x133651)))),
% 164.10/163.71 inference(rename_variables,[],[3514])).
% 164.10/163.71 cnf(13366,plain,
% 164.10/163.71 (~E(f316(a102,x133661),x133661)),
% 164.10/163.71 inference(rename_variables,[],[4589])).
% 164.10/163.71 cnf(13369,plain,
% 164.10/163.71 (P107(f316(f316(f225(a898),x133691),f316(a102,f316(f316(f74(a898),x133692),x133691))))),
% 164.10/163.71 inference(rename_variables,[],[3889])).
% 164.10/163.71 cnf(13370,plain,
% 164.10/163.71 (P107(f316(f316(f225(a898),x133701),f316(a102,x133701)))),
% 164.10/163.71 inference(rename_variables,[],[3514])).
% 164.10/163.71 cnf(13372,plain,
% 164.10/163.71 (~E(f316(f316(f75(a898),f316(a102,f2(a898))),f109(x133721)),f316(f316(f75(a898),f316(a102,f2(a898))),f116(x133721,x133722,x133723)))),
% 164.10/163.71 inference(scs_inference,[],[4097,12724,12746,12881,12883,12885,3681,11335,12392,12495,12498,12592,12634,12638,12646,12718,12848,12850,13292,13298,13303,13307,13313,13316,3690,12462,12945,12947,3697,3417,12892,3418,12937,12939,12941,3384,12800,4608,4609,11977,4371,12911,3421,12928,3261,3317,12873,3318,12924,3319,3320,3321,12674,12932,4607,3739,4589,10414,10424,10437,10448,10451,10555,10558,10561,10663,10798,11108,11301,11304,11327,11330,11527,11628,11635,11649,11695,11698,11731,11746,11809,11868,11884,12178,12203,12217,12246,12252,12346,12458,12627,12688,12828,13362,13366,3502,3466,12951,3649,12150,3368,4595,10647,10747,11211,11313,3058,3060,3061,3064,3065,3067,3068,3071,3072,3073,3079,3081,3083,3084,3085,3086,3091,3092,3096,3101,3104,3105,3112,3118,3123,3126,3127,3131,3137,3143,3156,3163,3176,3180,3181,3182,3194,3201,3206,3207,3215,3219,3222,3223,3224,3225,3226,3230,4586,3244,3316,4587,3778,4003,11915,3294,11625,3429,3405,3408,10486,10489,10582,10585,10901,11640,11643,11757,11796,11801,11910,12364,12568,12778,12830,12832,12840,12863,12865,12867,12871,12890,12898,12922,13164,3379,12659,12663,12667,3385,3394,3898,4200,3362,13227,3513,12721,12803,3283,3284,3643,3989,11671,3501,3345,3280,3307,3758,3303,3499,4106,3997,3820,3292,3293,3271,3910,3327,3505,11058,11185,12459,12678,3378,4071,4602,10477,10644,11524,12619,12660,12664,4605,12631,3438,11997,12000,13261,4029,4632,11237,11340,11580,11583,3413,3839,3435,3550,3764,4611,3517,12836,12838,12879,3342,3343,10547,10877,4620,3602,3335,3262,3364,11661,4214,12649,12790,4073,11257,11396,11455,12603,12609,12735,12738,12768,4650,11160,11409,11518,11544,11588,11594,12545,4651,11290,11412,11521,4652,11415,11466,4653,11473,4654,3363,3641,12501,12542,12630,3804,3590,4485,4486,3662,4600,11654,3782,3741,3784,3953,3708,13147,13151,13155,13159,13169,3999,12492,3627,3881,3514,10566,10686,10764,10837,10840,10880,10980,11227,11845,12094,12174,12239,12317,12355,12430,12433,12772,13030,13069,13072,13130,13365,3891,11901,3431,3526,11730,3703,4626,10454,10457,10483,10607,10782,10988,11003,11118,11566,11664,11844,12065,12070,12293,12296,12376,12548,12653,12976,12995,12998,13022,13073,13243,13248,13268,4638,11773,11804,11841,11848,11881,13082,13086,3878,3650,3651,13001,13004,13007,13010,13040,4021,3474,3476,3450,4623,3341,4597,3830,4136,3634,4639,4207,11541,3763,3486,12018,12021,12466,12572,12749,4630,10442,10445,10615,10710,10729,10736,10759,10767,10770,10787,10973,11214,11435,11724,11818,11966,12083,12086,4176,4135,12167,12516,4082,11055,12349,12526,4130,11263,12389,12465,12525,12571,3805,11852,12177,12324,12397,12449,4164,3822,10610,10707,11260,11345,11428,11492,12345,12411,12683,12745,12765,12775,13234,13297,13302,13322,4642,11006,11420,12529,13310,3447,10575,10673,10823,10887,10962,11009,11012,11043,11066,11102,11140,11179,11969,12015,12147,12202,12220,12223,12226,12229,12404,12418,12421,12424,12427,12509,12575,12694,12741,13023,13046,13122,13133,13138,13141,13144,13177,13188,13201,13254,13279,13282,3448,10602,10658,10892,10983,11105,11749,12048,12051,12062,12153,12164,12183,12188,12232,12255,12272,13037,13181,13204,13244,13249,13269,3449,12436,12439,3522,12381,13102,13148,13152,13156,13160,13170,13174,4622,10494,10523,11027,11069,11078,11929,11950,12121,12124,12127,12130,12216,12235,12238,12251,12305,12308,12311,12314,12477,12480,12578,12581,12687,12727,12812,3597,10752,10843,11113,11157,11399,11402,11481,11563,11734,11980,12626,12815,13226,4634,11036,11149,11170,11173,11240,11243,11254,11361,11369,11383,11423,11440,11449,11489,11530,11535,11538,11557,11560,11597,11602,11605,11608,11611,11851,11994,12027,12299,12302,12336,12382,12407,12554,12600,12606,12706,12709,12731,12789,12795,12806,12822,13101,13114,13117,13215,13335,13354,3507,10874,10904,10913,10916,10919,11510,12728,12742,13083,13087,13090,3546,3539,3957,3896,10526,11904,11932,13064,4631,10474,10862,10865,11364,11380,11867,11920,11954,11981,12080,12109,12112,12115,12118,12375,13285,3468,10907,11063,11133,11933,12079,12277,12485,12510,3920,12024,13017,4255,3656,4628,3931,3965,4614,4617,4618,3424,3428,4616,4615,4378,3753,11897,4349,11756,4644,10773,10776,4649,11246,11249,11443,11554,11571,11617,4039,11614,11953,11957,12637,12645,12734,13230,13291,3886,11176,11182,11200,12199,12329,12410,12702,3737,11318,11446,12442,12551,12561,12642,12697,12705,12819,4212,3888,10910,11279,11452,11486,11497,12641,12691,3598,3704,10826,10829,10922,11089,3706,4647,11898,4643,12985,4648,10666,10779,12504,12513,12557,12759,4310,11046,12522,12537,12560,4218,3919,12825,3864,3865,4645,10499,10502,10868,10871,11770,11958,12771,4646,11878,11963,3889,10832,11095,12093,4150,4661,4687,4742,4746,4770,4785,4792,4794,4830,4835,4864,4870,4956,4982,4983,4998,5024,5052,5053,5076,5077,5091,5095,5120,5126,5142,5146,5147,5148,5153,5154,5177,5202,5204,5205,5215,5220,5226,5262,5263,5271,5279,5283,5285,5299,5302,5308,5313,5314,5327,5333,5336,5337,5341,5369,5384,5393,5395,5396,5399,5400,5401,5411,5413,5419,5420,5421,5427,5431,5432,5433,5441,5445,5446,5452,5465,5473,5486,5488,5496,5498,5499,5502,5506,5533,5547,5548,5563,5575,5597,5603,5627,5628,5631,5650,5658,5659,5664,5665,5675,5677,5690,5694,5703,5704,5706,5707,5723,5728,5737,5738,5749,5756,5770,5774,5777,5783,5784,5785,5788,5793,5829,5830,5833,5835,5837,5839,5840,5841,5843,5845,5847,5852,5859,5874,5888,5895,5896,5908,5919,5920,5927,5931,5933,5938,5946,5984,5998,6007,6010,6019,6023,6024,6025,6026,6027,6032,6037,6047,6053,6071,6075,6084,6113,6129,6155,6172,6173,6176,6191,6193,6195,6197,6212,6213,6216,6218,6221,6222,6239,6247,6248,6249,6251,6253,6290,6291,6296,6299,6305,6309,6343,6345,6347,6349,6359,6361,6364,6370,6372,6377,6380,6388,6396,6398,6399,6406,6429,6430,6431,6432,6433,6435,6441,6446,6480,6481,6484,6485,6486,6488,6489,6490,6491,6498,6533,6534,6543,6564,6565,6589,6591,6603,6604,6610,6640,6642,6657,6698,6700,6701,6757,6780,6823,6838,6846,6855,6856,6857,6858,6878,6879,6886,6898,6901,6903,6905,6906,6907,6909,6923,6934,6935,6936,6949,7003,7014,7016,7038,7039,7075,7082,7089,7119,7150,7206,7235,7292,7313,7322,7325,7385,7395,7457,7459,7473,7482,7483,7484,7501,7505,7507,7554,7564,7567,7582,7629,7631,7634,7678,7679,7697,7767,7785,7809,7833,7845,7859,7870,7881,7882,7908,7910,7912,7923,7963,7974,7999,8026,8058,8089,8123,8162,8178,8180,8196,8197,8263,8274,8339,8363,8383,8410,8449,8450,8467,8507,8509,8511,8517,8532,8536,8551,8572,8580,8582,8592,8597,8601,8602,8603,8604,8605,8606,8625,8639,8640,8658,8660,8664,8665,8666,8667,8668,8688,8689,8690,8700,8713,8716,8728,8733,8735,8737,8738,8739,8746,8747,8753,8761,8764,8781,8782,8784,8792,8793,8801,8820,8833,8837,8858,8880,8881,8884,8885,8891,8900,8901,8924,8935,8945,8946,8947,8950,8973,8974,8985,9034,9040,9046,9048,9064,9067,9078,9079,9080,9091,9155,9186,9187,9188,9203,9220,9228,9256,9257,9326,9359,9365,9375,9376,9377,9386,9416,9432,9436,9440,9462,9463,9490,9552,9557,9560,9597,9598,9599,9627,9628,9644,9665,9671,9683,9708,9729,9738,9739,9740,9741,9756,9758,9763,9793,9794,9800,9801,9847,9848,9859,9860,9884,9903,9905,9906,9914,9919,9926,9950,9985,9987,9991,10041,10077,10087,10089,10093,10094,10096,10105,10106,10126,10131,10225,10318,10319,10320,10321,10380,10398,2,8,9,4674,4675,4693,4735,4736,4738,4761,4763,4764,4774,4819,4821,4869,4999,5000,5017,5041,5098,5099,5105,5106,5108,5110,5119,5122,5123,5131,5144,5145,5151,5172,5173,5191,5196,5197,5198,5199,5203,5211,5214,5221,5276,5281,5282,5287,5293,5324,5334,5339,5349,5366,5368,5375,5376,5378,5389,5407,5409,5410,5417,5424,5425,5437,5438,5439,5440,5442,5443,5448,5449,5450,5451,5482,5483,5484,5492,5493,5494,5495,5539,5544,5546,5582,5584,5585,5587,5588,5590,5591,5593,5602,5607,5609,5610,5611,5613,5615,5616,5617,5618,5619,5620,5629,5639,5642,5653,5669,5670,5673,5683,5686,5687,5688,5715,5725,5740,5741,5750,5751,5753,5755,5760,5795,5800,5802,5861,5897,5898,5912,5918,5921,5922,5923,5924,5943,5947,5948,5957,5979,6011,6030,6031,6035,6036,6038,6063,6064,6065,6069,6070,6086,6097,6098,6131,6132,6136,6157,6160,6163,6185,6186,6214,6217,6226,6235,6237,6246,6250,6258,6259,6260,6261,6293,6310,6363,6400,6402,6403,6426,6427,6434,6438,6439,6442,6456,6472,6493,6494,6499,6510,6513,6526,6546,6552,6554,6569,6570,6573,6574,6576,6578,6579,6580,6582,6584,6590,6596,6597,6599,6600,6606,6608,6650,6656,6671,6675,6676,6677,6711,6716,6718,6723,6724,6734,6738,6752,6775,6776,6778,6779,6790,6796,6815,6818,6839,6859,6872,6873,6874,6880,6894,6913,6915,6917,6919,6924,6930,6932,6946,6951,6952,6989,6990,6991,7005,7006,7008,7009,7028,7030,7045,7073,7097,7108,7110,7112,7114,7115,7147,7148,7149,7153,7154,7161,7162,7164,7166,7188,7197,7198,7209,7219,7259,7269,7275,7282,7293,7298,7300,7307,7316,7329,7346,7367,7369,7388,7442,7443,7444,7446,7448,7452,7453,7458,7522,7550,7565,7581,7612,7616,7637,7662,7680,7683,7684,7694,7714,7716,7718,7720,7721,7722,7723,7724,7749,7775,7776,7808,7810,7811,7812,7818,7839,7856,7861,7867,7869,7877,7889,7890,7892,7913,7921,7942,8012,8013,8014,8061,8067,8068,8092,8093,8110,8111,8112,8169,8170,8199,8229,8238,8251,8266,8295,8299,8305,8317,8335,8340,8362,8375,8408,8437,8451,8471,8474,8500,8525,8583,8584,8587,8588,8656,8692,8693,8694,8695,8723,8756,8786,8794,8795,8836,8857,8902,8918,8964,8967,8982,8989,9031,9074,9075,9093,9094,9108,9225,9230,9234,9254,9265,9288,9290,9293,9299,9301,9302,9313,9314,9333,9339,9350,9358,9402,9420,9475,9476,9482,9521,9544,9549,9589,9603,9607,9608,9612,9613,9626,9649,9664,9673,9674,9676,9678,9707,9828,9829,9879,9880,9920,9955,10066,10135,10291,10310,10315,3,2783,2784,2785,2786,2788,2789,2792,2795,2796,2797,2803,2804,2805,2810,2811,2812,2813,2814,2815,2816,2819,2822,2823,2824,2827,2829,2833,2836,2837,2839,2840,2841,2846,2847,2848,2849,2850,2854,2858,2859,2860,2861,2892,2893,2895,2896,2898,2899,2901,2902,2903,2906,2907,2908,2910,2911,2912,2918,2920,2921,2928,2930,2931,2932,2945,2946,2947,2949,2954,2956,2957,2959,2960,2964,2965,2969,2979,2980,2981,3009,3032,5365,5406,5555,5556,5557,5640,5739,5769,5803,5819,5821,5827,5889,5890,5891,5892,5910,5945,6081,6120,6130,6154,6189,6227,6379,6384,6424,6425,6447,6449,6451,6458,6459,6460,6461,6462,6463,6464,6465,6547,6620,6621,6710,6747,6748,6787,6788,6931,6945,7018,7019,7025,7046,7079,7081,7085,7130,7151,7152,7170,7171,7208,7253,7254,7353,7421,7422,7423,7424,7441,7474,7527,7528,7536,7541,7542,7553,7584,7585,7586,7587,7730,7731,7733,7735,7741,7742,7816,7948,7953,7959,7960,7971,8009,8010,8087,8128,8182,8204,8205,8281,8376,8447,8448,8452,8486,8547,8548,8615,8632,8633,8634,8635,8790,9050,9051,9122,9136,9189,9190,9310,9343,9370,9404,9445,9647,9770,9915,10104,10160,10162,5980,6531,6532,6623])).
% 164.10/163.71 cnf(13379,plain,
% 164.10/163.71 (P107(f316(f316(f224(a1),f2(a1)),f316(f90(a1),x133791)))),
% 164.10/163.71 inference(rename_variables,[],[3546])).
% 164.10/163.71 cnf(13382,plain,
% 164.10/163.71 (P107(f316(f316(f224(a898),f2(a898)),x133821))),
% 164.10/163.71 inference(rename_variables,[],[3468])).
% 164.10/163.71 cnf(13386,plain,
% 164.10/163.71 (~E(f316(a102,x133861),f2(a898))),
% 164.10/163.71 inference(rename_variables,[],[4595])).
% 164.10/163.71 cnf(13391,plain,
% 164.10/163.71 (~P107(f316(f316(f318(x133911),x133912),f178(f905(x133911,a895))))),
% 164.10/163.71 inference(rename_variables,[],[4634])).
% 164.10/163.71 cnf(13394,plain,
% 164.10/163.71 (P107(f316(f54(a898),f294(a898,x133941,x133942)))),
% 164.10/163.71 inference(rename_variables,[],[3651])).
% 164.10/163.71 cnf(13395,plain,
% 164.10/163.71 (E(f316(f316(f222(a898),f316(a102,x133951)),f316(a102,x133952)),f316(a102,f316(f316(f222(a898),x133951),x133952)))),
% 164.10/163.71 inference(rename_variables,[],[3615])).
% 164.10/163.71 cnf(13398,plain,
% 164.10/163.71 (P107(f316(f54(a898),f294(a898,x133981,x133982)))),
% 164.10/163.71 inference(rename_variables,[],[3651])).
% 164.10/163.71 cnf(13399,plain,
% 164.10/163.71 (E(f316(f316(f223(a898),f316(a102,x133991)),f316(a102,x133992)),f316(a102,f316(f316(f223(a898),x133991),x133992)))),
% 164.10/163.71 inference(rename_variables,[],[3616])).
% 164.10/163.71 cnf(13402,plain,
% 164.10/163.71 (P107(f316(f54(a898),f294(a898,x134021,x134022)))),
% 164.10/163.71 inference(rename_variables,[],[3651])).
% 164.10/163.71 cnf(13411,plain,
% 164.10/163.71 (~P107(f316(f316(f318(x134111),x134112),f178(f905(x134111,a895))))),
% 164.10/163.71 inference(rename_variables,[],[4634])).
% 164.10/163.71 cnf(13412,plain,
% 164.10/163.71 (E(f316(f316(f16(x134121,x134122),x134123),x134124),x134123)),
% 164.10/163.71 inference(rename_variables,[],[3438])).
% 164.10/163.71 cnf(13415,plain,
% 164.10/163.71 (P107(f316(f316(f224(f905(x134151,a895)),f316(f162(x134151),f316(f126(x134151,x134152),x134153))),f316(f162(x134151),x134153)))),
% 164.10/163.71 inference(rename_variables,[],[4082])).
% 164.10/163.71 cnf(13416,plain,
% 164.10/163.71 (E(f316(f316(f16(x134161,x134162),x134163),x134164),x134163)),
% 164.10/163.71 inference(rename_variables,[],[3438])).
% 164.10/163.71 cnf(13419,plain,
% 164.10/163.71 (P107(f316(f316(f224(f905(x134191,a895)),f316(f162(x134191),f316(f316(f165(x134191),x134192),x134193))),f316(f162(x134191),x134193)))),
% 164.10/163.71 inference(rename_variables,[],[4125])).
% 164.10/163.71 cnf(13420,plain,
% 164.10/163.71 (E(f316(f316(f16(x134201,x134202),x134203),x134204),x134203)),
% 164.10/163.71 inference(rename_variables,[],[3438])).
% 164.10/163.71 cnf(13424,plain,
% 164.10/163.71 (E(f316(f316(f16(x134241,x134242),x134243),x134244),x134243)),
% 164.10/163.71 inference(rename_variables,[],[3438])).
% 164.10/163.71 cnf(13437,plain,
% 164.10/163.71 (P107(f316(f316(f224(a1),f2(a1)),f316(f90(a1),x134371)))),
% 164.10/163.71 inference(rename_variables,[],[3546])).
% 164.10/163.71 cnf(13442,plain,
% 164.10/163.71 (P22(x134421,x134421,f5(x134421),x134422)),
% 164.10/163.71 inference(rename_variables,[],[3681])).
% 164.10/163.71 cnf(13445,plain,
% 164.10/163.71 (~P107(f316(f316(f318(x134451),x134452),f178(f905(x134451,a895))))),
% 164.10/163.71 inference(rename_variables,[],[4634])).
% 164.10/163.71 cnf(13446,plain,
% 164.10/163.71 (E(f316(f273(x134461,x134461),f252(x134461,x134462)),x134462)),
% 164.10/163.71 inference(rename_variables,[],[3408])).
% 164.10/163.71 cnf(13447,plain,
% 164.10/163.71 (P22(x134471,x134471,f5(x134471),x134472)),
% 164.10/163.71 inference(rename_variables,[],[3681])).
% 164.10/163.71 cnf(13451,plain,
% 164.10/163.71 (E(f316(f273(x134511,x134511),f252(x134511,x134512)),x134512)),
% 164.10/163.71 inference(rename_variables,[],[3408])).
% 164.10/163.71 cnf(13456,plain,
% 164.10/163.71 (P107(f316(f316(f225(f905(a1,a895)),f292(a1,f72(a1),f2(a1))),f292(a1,f2(a1),f72(a1))))),
% 164.10/163.71 inference(scs_inference,[],[4097,12724,12746,12881,12883,12885,3681,11335,12392,12495,12498,12592,12634,12638,12646,12718,12848,12850,13292,13298,13303,13307,13313,13316,13340,13442,13447,3690,12462,12945,12947,3697,3417,12892,3418,12937,12939,12941,3384,12800,4608,4609,11977,4371,12911,3421,12928,3261,3317,12873,3318,12924,3319,3320,3321,12674,12932,4607,3739,4589,10414,10424,10437,10448,10451,10555,10558,10561,10663,10798,11108,11301,11304,11327,11330,11527,11628,11635,11649,11695,11698,11731,11746,11809,11868,11884,12178,12203,12217,12246,12252,12346,12458,12627,12688,12828,13362,13366,3502,3466,12951,3649,12150,3368,4595,10647,10747,11211,11313,13047,3058,3060,3061,3064,3065,3067,3068,3071,3072,3073,3079,3081,3083,3084,3085,3086,3091,3092,3096,3101,3104,3105,3112,3118,3123,3126,3127,3131,3137,3143,3156,3163,3166,3176,3177,3180,3181,3182,3194,3201,3206,3207,3215,3219,3222,3223,3224,3225,3226,3230,4586,3244,3316,4587,3778,4003,11915,3294,11625,3429,3405,3408,10486,10489,10582,10585,10901,11640,11643,11757,11796,11801,11910,12364,12568,12778,12830,12832,12840,12863,12865,12867,12871,12890,12898,12922,13164,13331,13446,3379,12659,12663,12667,3385,3394,3898,4200,3362,13227,3513,12721,12803,3283,3284,3643,3989,11671,3501,3345,3280,3307,3758,3303,3499,4106,3997,3820,3292,3293,3271,3910,3327,3505,11058,11185,12459,12678,3378,4071,4602,10477,10644,11524,12619,12660,12664,4605,12631,3438,11997,12000,13261,13351,13412,13416,13420,13424,4029,4632,11237,11340,11580,11583,3413,3839,3435,3550,3764,3542,4611,3517,12836,12838,12879,3342,3343,10547,10877,4620,3602,3335,3262,3364,11661,4214,12649,12790,4073,11257,11396,11455,12603,12609,12735,12738,12768,4650,11160,11409,11518,11544,11588,11594,12545,4651,11290,11412,11521,4652,11415,11466,4653,11473,4654,3363,3641,12501,12542,12630,3804,3590,4485,4486,3662,4600,11654,3782,3741,3784,3953,3708,13147,13151,13155,13159,13169,3999,12492,3627,3881,3514,10566,10686,10764,10837,10840,10880,10980,11227,11845,12094,12174,12239,12317,12355,12430,12433,12772,13030,13069,13072,13130,13365,3891,11901,3431,3526,11730,3703,4626,10454,10457,10483,10607,10782,10988,11003,11118,11566,11664,11844,12065,12070,12293,12296,12376,12548,12653,12976,12995,12998,13022,13073,13243,13248,13268,4638,11773,11804,11841,11848,11881,13082,13086,3878,3650,3651,13001,13004,13007,13010,13040,13043,13394,13398,13402,4021,3615,13395,3616,13399,3474,3476,3450,4623,3341,4597,3830,4136,3634,4639,4207,11541,3763,3486,12018,12021,12466,12572,12749,4630,10442,10445,10615,10710,10729,10736,10759,10767,10770,10787,10973,11214,11435,11724,11818,11966,12083,12086,4176,4135,12167,12516,4082,11055,12349,12526,12677,13415,4125,13419,4130,11263,12389,12465,12525,12571,13264,3805,11852,12177,12324,12397,12449,4164,3822,10610,10707,11260,11345,11428,11492,12345,12411,12683,12745,12765,12775,13234,13297,13302,13322,13343,4642,11006,11420,12529,13310,3447,10575,10673,10823,10887,10962,11009,11012,11043,11066,11102,11140,11179,11969,12015,12147,12202,12220,12223,12226,12229,12404,12418,12421,12424,12427,12509,12575,12694,12741,13023,13046,13122,13133,13138,13141,13144,13177,13188,13201,13254,13279,13282,3448,10602,10658,10892,10983,11105,11749,12048,12051,12062,12153,12164,12183,12188,12232,12255,12272,13037,13181,13204,13244,13249,13269,3449,12436,12439,3522,12381,13102,13148,13152,13156,13160,13170,13174,4622,10494,10523,11027,11069,11078,11929,11950,12121,12124,12127,12130,12216,12235,12238,12251,12305,12308,12311,12314,12477,12480,12578,12581,12687,12727,12812,3597,10752,10843,11113,11157,11399,11402,11481,11563,11734,11980,12626,12815,13226,4634,11036,11149,11170,11173,11240,11243,11254,11361,11369,11383,11423,11440,11449,11489,11530,11535,11538,11557,11560,11597,11602,11605,11608,11611,11851,11994,12027,12299,12302,12336,12382,12407,12554,12600,12606,12706,12709,12731,12789,12795,12806,12822,13101,13114,13117,13215,13335,13354,13357,13391,13411,13445,3507,10874,10904,10913,10916,10919,11510,12728,12742,13083,13087,13090,3546,13379,3539,3957,3896,10526,11904,11932,13064,4631,10474,10862,10865,11364,11380,11867,11920,11954,11981,12080,12109,12112,12115,12118,12375,13285,3468,10907,11063,11133,11933,12079,12277,12485,12510,13111,3920,12024,13017,4255,3656,4628,3931,3965,4614,4617,4618,3424,3428,4616,4615,4378,4422,3753,11897,4349,11756,4644,10773,10776,4649,11246,11249,11443,11554,11571,11617,4039,11614,11953,11957,12637,12645,12734,13230,13291,3886,11176,11182,11200,12199,12329,12410,12702,3737,11318,11446,12442,12551,12561,12642,12697,12705,12819,13237,4212,3888,10910,11279,11452,11486,11497,12641,12691,13327,3598,3704,10826,10829,10922,11089,3706,4647,11898,4643,12985,4648,10666,10779,12504,12513,12557,12759,4310,11046,12522,12537,12560,4218,3919,12825,3864,3865,4645,10499,10502,10868,10871,11770,11958,12771,4646,11878,11963,3889,10832,11095,12093,4150,4661,4687,4742,4746,4770,4785,4792,4794,4830,4835,4864,4870,4956,4982,4983,4998,5024,5052,5053,5076,5077,5091,5095,5120,5126,5142,5146,5147,5148,5153,5154,5177,5202,5204,5205,5215,5220,5226,5262,5263,5271,5279,5283,5285,5299,5302,5308,5313,5314,5327,5333,5336,5337,5341,5369,5384,5393,5395,5396,5399,5400,5401,5411,5413,5419,5420,5421,5427,5431,5432,5433,5441,5445,5446,5452,5465,5473,5486,5488,5496,5498,5499,5502,5506,5533,5547,5548,5563,5575,5597,5603,5627,5628,5631,5650,5658,5659,5664,5665,5675,5677,5690,5694,5703,5704,5706,5707,5723,5728,5737,5738,5749,5756,5770,5774,5777,5783,5784,5785,5788,5793,5829,5830,5833,5835,5837,5839,5840,5841,5843,5845,5847,5852,5859,5874,5888,5895,5896,5908,5919,5920,5927,5931,5933,5938,5946,5984,5998,6007,6010,6019,6023,6024,6025,6026,6027,6032,6037,6047,6053,6071,6075,6084,6113,6129,6155,6172,6173,6176,6191,6193,6195,6197,6212,6213,6216,6218,6221,6222,6239,6247,6248,6249,6251,6253,6290,6291,6296,6299,6305,6309,6343,6345,6347,6349,6359,6361,6364,6370,6372,6377,6380,6388,6396,6398,6399,6406,6429,6430,6431,6432,6433,6435,6441,6446,6480,6481,6484,6485,6486,6488,6489,6490,6491,6498,6533,6534,6543,6564,6565,6589,6591,6603,6604,6610,6640,6642,6657,6698,6700,6701,6757,6780,6823,6838,6846,6855,6856,6857,6858,6878,6879,6886,6898,6901,6903,6905,6906,6907,6909,6923,6934,6935,6936,6949,7003,7014,7016,7038,7039,7075,7082,7089,7119,7150,7206,7235,7292,7313,7322,7325,7385,7395,7457,7459,7473,7482,7483,7484,7501,7505,7507,7554,7564,7567,7582,7629,7631,7634,7678,7679,7697,7767,7785,7809,7833,7845,7859,7870,7881,7882,7908,7910,7912,7923,7963,7974,7999,8026,8058,8089,8123,8162,8178,8180,8196,8197,8263,8274,8339,8363,8383,8410,8449,8450,8467,8507,8509,8511,8517,8532,8536,8551,8572,8580,8582,8592,8597,8601,8602,8603,8604,8605,8606,8625,8639,8640,8658,8660,8664,8665,8666,8667,8668,8688,8689,8690,8700,8713,8716,8728,8733,8735,8737,8738,8739,8746,8747,8753,8761,8764,8781,8782,8784,8792,8793,8801,8820,8833,8837,8858,8880,8881,8884,8885,8891,8900,8901,8924,8935,8945,8946,8947,8950,8973,8974,8985,9034,9040,9046,9048,9064,9067,9078,9079,9080,9091,9155,9186,9187,9188,9203,9220,9228,9256,9257,9326,9359,9365,9375,9376,9377,9386,9416,9432,9436,9440,9462,9463,9490,9552,9557,9560,9597,9598,9599,9627,9628,9644,9665,9671,9683,9708,9729,9738,9739,9740,9741,9756,9758,9763,9793,9794,9800,9801,9847,9848,9859,9860,9884,9903,9905,9906,9914,9919,9926,9950,9985,9987,9991,10041,10077,10087,10089,10093,10094,10096,10105,10106,10126,10131,10225,10318,10319,10320,10321,10380,10398,2,8,9,4674,4675,4693,4735,4736,4738,4761,4763,4764,4774,4819,4821,4869,4999,5000,5017,5041,5098,5099,5105,5106,5108,5110,5119,5122,5123,5131,5144,5145,5151,5172,5173,5191,5196,5197,5198,5199,5203,5211,5214,5221,5276,5281,5282,5287,5293,5324,5334,5339,5349,5366,5368,5375,5376,5378,5389,5407,5409,5410,5417,5424,5425,5437,5438,5439,5440,5442,5443,5448,5449,5450,5451,5482,5483,5484,5492,5493,5494,5495,5539,5544,5546,5582,5584,5585,5587,5588,5590,5591,5593,5602,5607,5609,5610,5611,5613,5615,5616,5617,5618,5619,5620,5629,5639,5642,5653,5669,5670,5673,5683,5686,5687,5688,5715,5725,5740,5741,5750,5751,5753,5755,5760,5795,5800,5802,5861,5897,5898,5912,5918,5921,5922,5923,5924,5943,5947,5948,5957,5979,6011,6030,6031,6035,6036,6038,6063,6064,6065,6069,6070,6086,6097,6098,6131,6132,6136,6157,6160,6163,6185,6186,6214,6217,6226,6235,6237,6246,6250,6258,6259,6260,6261,6293,6310,6363,6400,6402,6403,6426,6427,6434,6438,6439,6442,6456,6472,6493,6494,6499,6510,6513,6526,6546,6552,6554,6569,6570,6573,6574,6576,6578,6579,6580,6582,6584,6590,6596,6597,6599,6600,6606,6608,6650,6656,6671,6675,6676,6677,6711,6716,6718,6723,6724,6734,6738,6752,6775,6776,6778,6779,6790,6796,6815,6818,6839,6859,6872,6873,6874,6880,6894,6913,6915,6917,6919,6924,6930,6932,6946,6951,6952,6989,6990,6991,7005,7006,7008,7009,7028,7030,7045,7073,7097,7108,7110,7112,7114,7115,7147,7148,7149,7153,7154,7161,7162,7164,7166,7188,7197,7198,7209,7219,7259,7269,7275,7282,7293,7298,7300,7307,7316,7329,7346,7367,7369,7388,7442,7443,7444,7446,7448,7452,7453,7458,7522,7550,7565,7581,7612,7616,7637,7662,7680,7683,7684,7694,7714,7716,7718,7720,7721,7722,7723,7724,7749,7775,7776,7808,7810,7811,7812,7818,7839,7856,7861,7867,7869,7877,7889,7890,7892,7913,7921,7942,8012,8013,8014,8061,8067,8068,8092,8093,8110,8111,8112,8169,8170,8199,8229,8238,8251,8266,8295,8299,8305,8317,8335,8340,8362,8375,8408,8437,8451,8471,8474,8500,8525,8583,8584,8587,8588,8656,8692,8693,8694,8695,8723,8756,8786,8794,8795,8836,8857,8902,8918,8964,8967,8982,8989,9031,9074,9075,9093,9094,9108,9225,9230,9234,9254,9265,9288,9290,9293,9299,9301,9302,9313,9314,9333,9339,9350,9358,9402,9420,9475,9476,9482,9521,9544,9549,9589,9603,9607,9608,9612,9613,9626,9649,9664,9673,9674,9676,9678,9707,9828,9829,9879,9880,9920,9955,10066,10135,10291,10310,10315,3,2783,2784,2785,2786,2788,2789,2792,2795,2796,2797,2803,2804,2805,2810,2811,2812,2813,2814,2815,2816,2819,2822,2823,2824,2827,2829,2833,2836,2837,2839,2840,2841,2846,2847,2848,2849,2850,2854,2858,2859,2860,2861,2892,2893,2895,2896,2898,2899,2901,2902,2903,2906,2907,2908,2910,2911,2912,2918,2920,2921,2928,2930,2931,2932,2945,2946,2947,2949,2954,2956,2957,2959,2960,2964,2965,2969,2979,2980,2981,3009,3032,5365,5406,5555,5556,5557,5640,5739,5769,5803,5819,5821,5827,5889,5890,5891,5892,5910,5945,6081,6120,6130,6154,6189,6227,6379,6384,6424,6425,6447,6449,6451,6458,6459,6460,6461,6462,6463,6464,6465,6547,6620,6621,6710,6747,6748,6787,6788,6931,6945,7018,7019,7025,7046,7079,7081,7085,7130,7151,7152,7170,7171,7208,7253,7254,7353,7421,7422,7423,7424,7441,7474,7527,7528,7536,7541,7542,7553,7584,7585,7586,7587,7730,7731,7733,7735,7741,7742,7816,7948,7953,7959,7960,7971,8009,8010,8087,8128,8182,8204,8205,8281,8376,8447,8448,8452,8486,8547,8548,8615,8632,8633,8634,8635,8790,9050,9051,9122,9136,9189,9190,9310,9343,9370,9404,9445,9647,9770,9915,10104,10160,10162,5980,6531,6532,6623,6643,6644,7070,7291,8708,8958,9147,9148,9216,9217,9399,9493,9494,9495,9496,9710,9979,9993,10366,10367,6605,8539])).
% 164.10/163.71 cnf(13458,plain,
% 164.10/163.71 (P107(f316(f316(f225(f905(a1,a895)),f292(a1,f2(a1),f2(a1))),f292(a1,f316(f73(a1),f316(f90(a1),f316(a102,x134581))),f2(a1))))),
% 164.10/163.71 inference(scs_inference,[],[4097,12724,12746,12881,12883,12885,3681,11335,12392,12495,12498,12592,12634,12638,12646,12718,12848,12850,13292,13298,13303,13307,13313,13316,13340,13442,13447,3690,12462,12945,12947,3697,3417,12892,3418,12937,12939,12941,3384,12800,4608,4609,11977,4371,12911,3421,12928,3261,3317,12873,3318,12924,3319,3320,3321,12674,12932,4607,3739,4589,10414,10424,10437,10448,10451,10555,10558,10561,10663,10798,11108,11301,11304,11327,11330,11527,11628,11635,11649,11695,11698,11731,11746,11809,11868,11884,12178,12203,12217,12246,12252,12346,12458,12627,12688,12828,13362,13366,3502,3466,12951,3649,12150,3368,4595,10647,10747,11211,11313,13047,3058,3060,3061,3064,3065,3067,3068,3071,3072,3073,3079,3081,3083,3084,3085,3086,3091,3092,3096,3101,3104,3105,3112,3118,3123,3126,3127,3131,3137,3143,3156,3163,3166,3176,3177,3180,3181,3182,3194,3201,3206,3207,3215,3219,3222,3223,3224,3225,3226,3230,4586,3244,3316,4587,3778,4003,11915,3294,11625,3429,3405,3408,10486,10489,10582,10585,10901,11640,11643,11757,11796,11801,11910,12364,12568,12778,12830,12832,12840,12863,12865,12867,12871,12890,12898,12922,13164,13331,13446,3379,12659,12663,12667,3385,3394,3898,4200,3362,13227,3513,12721,12803,3283,3284,3643,3989,11671,3501,3345,3280,3307,3758,3303,3499,4106,3997,3820,3292,3293,3271,3910,3327,3505,11058,11185,12459,12678,3378,4071,4602,10477,10644,11524,12619,12660,12664,4605,12631,3438,11997,12000,13261,13351,13412,13416,13420,13424,4029,4632,11237,11340,11580,11583,3413,3839,3435,3550,3764,3542,4611,3517,12836,12838,12879,3342,3343,10547,10877,4620,3602,3335,3262,3364,11661,4214,12649,12790,4073,11257,11396,11455,12603,12609,12735,12738,12768,4650,11160,11409,11518,11544,11588,11594,12545,4651,11290,11412,11521,4652,11415,11466,4653,11473,4654,3363,3641,12501,12542,12630,3804,3590,4485,4486,3662,4600,11654,3782,3741,3784,3953,3708,13147,13151,13155,13159,13169,3999,12492,3627,3881,3514,10566,10686,10764,10837,10840,10880,10980,11227,11845,12094,12174,12239,12317,12355,12430,12433,12772,13030,13069,13072,13130,13365,3891,11901,3431,3526,11730,3703,4626,10454,10457,10483,10607,10782,10988,11003,11118,11566,11664,11844,12065,12070,12293,12296,12376,12548,12653,12976,12995,12998,13022,13073,13243,13248,13268,4638,11773,11804,11841,11848,11881,13082,13086,3878,3650,3651,13001,13004,13007,13010,13040,13043,13394,13398,13402,4021,3615,13395,3616,13399,3474,3476,3450,4623,3341,4597,3830,4136,3634,4639,4207,11541,3763,3486,12018,12021,12466,12572,12749,4630,10442,10445,10615,10710,10729,10736,10759,10767,10770,10787,10973,11214,11435,11724,11818,11966,12083,12086,4176,4135,12167,12516,4082,11055,12349,12526,12677,13415,4125,13419,4130,11263,12389,12465,12525,12571,13264,3805,11852,12177,12324,12397,12449,4164,3822,10610,10707,11260,11345,11428,11492,12345,12411,12683,12745,12765,12775,13234,13297,13302,13322,13343,4642,11006,11420,12529,13310,3447,10575,10673,10823,10887,10962,11009,11012,11043,11066,11102,11140,11179,11969,12015,12147,12202,12220,12223,12226,12229,12404,12418,12421,12424,12427,12509,12575,12694,12741,13023,13046,13122,13133,13138,13141,13144,13177,13188,13201,13254,13279,13282,3448,10602,10658,10892,10983,11105,11749,12048,12051,12062,12153,12164,12183,12188,12232,12255,12272,13037,13181,13204,13244,13249,13269,13274,3449,12436,12439,3522,12381,13102,13148,13152,13156,13160,13170,13174,4622,10494,10523,11027,11069,11078,11929,11950,12121,12124,12127,12130,12216,12235,12238,12251,12305,12308,12311,12314,12477,12480,12578,12581,12687,12727,12812,3597,10752,10843,11113,11157,11399,11402,11481,11563,11734,11980,12626,12815,13226,4634,11036,11149,11170,11173,11240,11243,11254,11361,11369,11383,11423,11440,11449,11489,11530,11535,11538,11557,11560,11597,11602,11605,11608,11611,11851,11994,12027,12299,12302,12336,12382,12407,12554,12600,12606,12706,12709,12731,12789,12795,12806,12822,13101,13114,13117,13215,13335,13354,13357,13391,13411,13445,3507,10874,10904,10913,10916,10919,11510,12728,12742,13083,13087,13090,3546,13379,3539,3957,3896,10526,11904,11932,13064,4631,10474,10862,10865,11364,11380,11867,11920,11954,11981,12080,12109,12112,12115,12118,12375,13285,3468,10907,11063,11133,11933,12079,12277,12485,12510,13111,3920,12024,13017,4255,3656,4628,3931,3965,4614,4617,4618,3424,3428,4616,4615,4378,4422,3753,11897,4349,11756,4644,10773,10776,4649,11246,11249,11443,11554,11571,11617,4039,11614,11953,11957,12637,12645,12734,13230,13291,3886,11176,11182,11200,12199,12329,12410,12702,3737,11318,11446,12442,12551,12561,12642,12697,12705,12819,13237,4212,3888,10910,11279,11452,11486,11497,12641,12691,13327,3598,3704,10826,10829,10922,11089,3706,4647,11898,4643,12985,4648,10666,10779,12504,12513,12557,12759,4310,11046,12522,12537,12560,4218,3919,12825,3864,3865,4645,10499,10502,10868,10871,11770,11958,12771,4646,11878,11963,3889,10832,11095,12093,4150,4661,4687,4742,4746,4770,4785,4792,4794,4830,4835,4864,4870,4956,4982,4983,4998,5024,5052,5053,5076,5077,5091,5095,5120,5126,5142,5146,5147,5148,5153,5154,5177,5202,5204,5205,5215,5220,5226,5262,5263,5271,5279,5283,5285,5299,5302,5308,5313,5314,5327,5333,5336,5337,5341,5369,5384,5393,5395,5396,5399,5400,5401,5411,5413,5419,5420,5421,5427,5431,5432,5433,5441,5445,5446,5452,5465,5473,5486,5488,5496,5498,5499,5502,5506,5533,5547,5548,5563,5575,5597,5603,5627,5628,5631,5650,5658,5659,5664,5665,5675,5677,5690,5694,5703,5704,5706,5707,5723,5728,5737,5738,5749,5756,5770,5774,5777,5783,5784,5785,5788,5793,5829,5830,5833,5835,5837,5839,5840,5841,5843,5845,5847,5852,5859,5874,5888,5895,5896,5908,5919,5920,5927,5931,5933,5938,5946,5984,5998,6007,6010,6019,6023,6024,6025,6026,6027,6032,6037,6047,6053,6071,6075,6084,6113,6129,6155,6172,6173,6176,6191,6193,6195,6197,6212,6213,6216,6218,6221,6222,6239,6247,6248,6249,6251,6253,6290,6291,6296,6299,6305,6309,6343,6345,6347,6349,6359,6361,6364,6370,6372,6377,6380,6388,6396,6398,6399,6406,6429,6430,6431,6432,6433,6435,6441,6446,6480,6481,6484,6485,6486,6488,6489,6490,6491,6498,6533,6534,6543,6564,6565,6589,6591,6603,6604,6610,6640,6642,6657,6698,6700,6701,6757,6780,6823,6838,6846,6855,6856,6857,6858,6878,6879,6886,6898,6901,6903,6905,6906,6907,6909,6923,6934,6935,6936,6949,7003,7014,7016,7038,7039,7075,7082,7089,7119,7150,7206,7235,7292,7313,7322,7325,7385,7395,7457,7459,7473,7482,7483,7484,7501,7505,7507,7554,7564,7567,7582,7629,7631,7634,7678,7679,7697,7767,7785,7809,7833,7845,7859,7870,7881,7882,7908,7910,7912,7923,7963,7974,7999,8026,8058,8089,8123,8162,8178,8180,8196,8197,8263,8274,8339,8363,8383,8410,8449,8450,8467,8507,8509,8511,8517,8532,8536,8551,8572,8580,8582,8592,8597,8601,8602,8603,8604,8605,8606,8625,8639,8640,8658,8660,8664,8665,8666,8667,8668,8688,8689,8690,8700,8713,8716,8728,8733,8735,8737,8738,8739,8746,8747,8753,8761,8764,8781,8782,8784,8792,8793,8801,8820,8833,8837,8858,8880,8881,8884,8885,8891,8900,8901,8924,8935,8945,8946,8947,8950,8973,8974,8985,9034,9040,9046,9048,9064,9067,9078,9079,9080,9091,9155,9186,9187,9188,9203,9220,9228,9256,9257,9326,9359,9365,9375,9376,9377,9386,9416,9432,9436,9440,9462,9463,9490,9552,9557,9560,9597,9598,9599,9627,9628,9644,9665,9671,9683,9708,9729,9738,9739,9740,9741,9756,9758,9763,9793,9794,9800,9801,9847,9848,9859,9860,9884,9903,9905,9906,9914,9919,9926,9950,9985,9987,9991,10041,10077,10087,10089,10093,10094,10096,10105,10106,10126,10131,10225,10318,10319,10320,10321,10380,10398,2,8,9,4674,4675,4693,4735,4736,4738,4761,4763,4764,4774,4819,4821,4869,4999,5000,5017,5041,5098,5099,5105,5106,5108,5110,5119,5122,5123,5131,5144,5145,5151,5172,5173,5191,5196,5197,5198,5199,5203,5211,5214,5221,5276,5281,5282,5287,5293,5324,5334,5339,5349,5366,5368,5375,5376,5378,5389,5407,5409,5410,5417,5424,5425,5437,5438,5439,5440,5442,5443,5448,5449,5450,5451,5482,5483,5484,5492,5493,5494,5495,5539,5544,5546,5582,5584,5585,5587,5588,5590,5591,5593,5602,5607,5609,5610,5611,5613,5615,5616,5617,5618,5619,5620,5629,5639,5642,5653,5669,5670,5673,5683,5686,5687,5688,5715,5725,5740,5741,5750,5751,5753,5755,5760,5795,5800,5802,5861,5897,5898,5912,5918,5921,5922,5923,5924,5943,5947,5948,5957,5979,6011,6030,6031,6035,6036,6038,6063,6064,6065,6069,6070,6086,6097,6098,6131,6132,6136,6157,6160,6163,6185,6186,6214,6217,6226,6235,6237,6246,6250,6258,6259,6260,6261,6293,6310,6363,6400,6402,6403,6426,6427,6434,6438,6439,6442,6456,6472,6493,6494,6499,6510,6513,6526,6546,6552,6554,6569,6570,6573,6574,6576,6578,6579,6580,6582,6584,6590,6596,6597,6599,6600,6606,6608,6650,6656,6671,6675,6676,6677,6711,6716,6718,6723,6724,6734,6738,6752,6775,6776,6778,6779,6790,6796,6815,6818,6839,6859,6872,6873,6874,6880,6894,6913,6915,6917,6919,6924,6930,6932,6946,6951,6952,6989,6990,6991,7005,7006,7008,7009,7028,7030,7045,7073,7097,7108,7110,7112,7114,7115,7147,7148,7149,7153,7154,7161,7162,7164,7166,7188,7197,7198,7209,7219,7259,7269,7275,7282,7293,7298,7300,7307,7316,7329,7346,7367,7369,7388,7442,7443,7444,7446,7448,7452,7453,7458,7522,7550,7565,7581,7612,7616,7637,7662,7680,7683,7684,7694,7714,7716,7718,7720,7721,7722,7723,7724,7749,7775,7776,7808,7810,7811,7812,7818,7839,7856,7861,7867,7869,7877,7889,7890,7892,7913,7921,7942,8012,8013,8014,8061,8067,8068,8092,8093,8110,8111,8112,8169,8170,8199,8229,8238,8251,8266,8295,8299,8305,8317,8335,8340,8362,8375,8408,8437,8451,8471,8474,8500,8525,8583,8584,8587,8588,8656,8692,8693,8694,8695,8723,8756,8786,8794,8795,8836,8857,8902,8918,8964,8967,8982,8989,9031,9074,9075,9093,9094,9108,9225,9230,9234,9254,9265,9288,9290,9293,9299,9301,9302,9313,9314,9333,9339,9350,9358,9402,9420,9475,9476,9482,9521,9544,9549,9589,9603,9607,9608,9612,9613,9626,9649,9664,9673,9674,9676,9678,9707,9828,9829,9879,9880,9920,9955,10066,10135,10291,10310,10315,3,2783,2784,2785,2786,2788,2789,2792,2795,2796,2797,2803,2804,2805,2810,2811,2812,2813,2814,2815,2816,2819,2822,2823,2824,2827,2829,2833,2836,2837,2839,2840,2841,2846,2847,2848,2849,2850,2854,2858,2859,2860,2861,2892,2893,2895,2896,2898,2899,2901,2902,2903,2906,2907,2908,2910,2911,2912,2918,2920,2921,2928,2930,2931,2932,2945,2946,2947,2949,2954,2956,2957,2959,2960,2964,2965,2969,2979,2980,2981,3009,3032,5365,5406,5555,5556,5557,5640,5739,5769,5803,5819,5821,5827,5889,5890,5891,5892,5910,5945,6081,6120,6130,6154,6189,6227,6379,6384,6424,6425,6447,6449,6451,6458,6459,6460,6461,6462,6463,6464,6465,6547,6620,6621,6710,6747,6748,6787,6788,6931,6945,7018,7019,7025,7046,7079,7081,7085,7130,7151,7152,7170,7171,7208,7253,7254,7353,7421,7422,7423,7424,7441,7474,7527,7528,7536,7541,7542,7553,7584,7585,7586,7587,7730,7731,7733,7735,7741,7742,7816,7948,7953,7959,7960,7971,8009,8010,8087,8128,8182,8204,8205,8281,8376,8447,8448,8452,8486,8547,8548,8615,8632,8633,8634,8635,8790,9050,9051,9122,9136,9189,9190,9310,9343,9370,9404,9445,9647,9770,9915,10104,10160,10162,5980,6531,6532,6623,6643,6644,7070,7291,8708,8958,9147,9148,9216,9217,9399,9493,9494,9495,9496,9710,9979,9993,10366,10367,6605,8539,8540])).
% 164.10/163.71 cnf(13465,plain,
% 164.10/163.71 (P107(f316(f316(f224(a898),f2(a898)),x134651))),
% 164.10/163.71 inference(rename_variables,[],[3468])).
% 164.10/163.71 cnf(13466,plain,
% 164.10/163.71 (P107(f316(f316(f225(a898),f2(a898)),f316(a102,x134661)))),
% 164.10/163.71 inference(rename_variables,[],[3526])).
% 164.10/163.71 cnf(13467,plain,
% 164.10/163.71 (E(f316(f273(x134671,x134671),f252(x134671,x134672)),x134672)),
% 164.10/163.71 inference(rename_variables,[],[3408])).
% 164.10/163.71 cnf(13470,plain,
% 164.10/163.71 (P107(f316(f41(f316(f273(x134701,x134701),f252(x134701,f316(f316(f74(a898),f316(f316(f75(a898),f316(f240(a898,a898),f316(f316(f241(a898,a898),f2(a898)),x134702))),f316(a102,f316(f316(f74(a898),x134703),f316(f245(a898,a898),f316(f316(f241(a898,a898),f2(a898)),x134702)))))),f316(f245(a898,a898),f316(f316(f241(a898,a898),f2(a898)),x134702))))),f316(a102,f316(f316(f74(a898),x134703),f316(f245(a898,a898),f316(f316(f241(a898,a898),f2(a898)),x134702))))),f316(f316(f241(a898,a898),f2(a898)),x134702)))),
% 164.10/163.71 inference(scs_inference,[],[4097,12724,12746,12881,12883,12885,3681,11335,12392,12495,12498,12592,12634,12638,12646,12718,12848,12850,13292,13298,13303,13307,13313,13316,13340,13442,13447,3690,12462,12945,12947,3697,3417,12892,3418,12937,12939,12941,3384,12800,4608,4609,11977,4371,12911,3421,12928,3261,3317,12873,3318,12924,3319,3320,3321,12674,12932,4607,3739,4589,10414,10424,10437,10448,10451,10555,10558,10561,10663,10798,11108,11301,11304,11327,11330,11527,11628,11635,11649,11695,11698,11731,11746,11809,11868,11884,12178,12203,12217,12246,12252,12346,12458,12627,12688,12828,13362,13366,3502,3466,12951,3649,12150,3368,4595,10647,10747,11211,11313,13047,13386,3058,3060,3061,3064,3065,3067,3068,3071,3072,3073,3079,3081,3083,3084,3085,3086,3091,3092,3096,3101,3104,3105,3112,3118,3123,3126,3127,3131,3137,3143,3156,3163,3166,3176,3177,3180,3181,3182,3194,3201,3206,3207,3215,3219,3222,3223,3224,3225,3226,3230,4586,3244,3316,4587,3778,4003,11915,3294,11625,3429,3405,3408,10486,10489,10582,10585,10901,11640,11643,11757,11796,11801,11910,12364,12568,12778,12830,12832,12840,12863,12865,12867,12871,12890,12898,12922,13164,13331,13446,13451,13467,3379,12659,12663,12667,3385,3394,3898,4200,3362,13227,3513,12721,12803,3283,3284,3643,3989,11671,3501,3345,3280,3307,3758,3303,3499,4106,3997,3820,3292,3293,3271,3910,3327,3505,11058,11185,12459,12678,3378,4071,4602,10477,10644,11524,12619,12660,12664,4605,12631,3438,11997,12000,13261,13351,13412,13416,13420,13424,4029,4632,11237,11340,11580,11583,3413,3839,3435,3550,3764,3542,4611,3517,12836,12838,12879,3342,3343,10547,10877,4620,3602,3335,3262,3364,11661,4214,12649,12790,4073,11257,11396,11455,12603,12609,12735,12738,12768,4650,11160,11409,11518,11544,11588,11594,12545,4651,11290,11412,11521,4652,11415,11466,4653,11473,4654,3363,3641,12501,12542,12630,3804,3590,4485,4486,3625,3662,4600,11654,3782,3741,3784,3953,3708,13147,13151,13155,13159,13169,3999,12492,3627,3881,3514,10566,10686,10764,10837,10840,10880,10980,11227,11845,12094,12174,12239,12317,12355,12430,12433,12772,13030,13069,13072,13130,13365,13370,3891,11901,3431,3526,11730,12012,13466,3703,4626,10454,10457,10483,10607,10782,10988,11003,11118,11566,11664,11844,12065,12070,12293,12296,12376,12548,12653,12976,12995,12998,13022,13073,13243,13248,13268,4638,11773,11804,11841,11848,11881,13082,13086,3878,3650,3651,13001,13004,13007,13010,13040,13043,13394,13398,13402,4021,3615,13395,3616,13399,3474,3476,3450,4623,3341,4597,3830,4136,3634,4639,4207,11541,3763,3486,12018,12021,12466,12572,12749,4630,10442,10445,10615,10710,10729,10736,10759,10767,10770,10787,10973,11214,11435,11724,11818,11966,12083,12086,4176,4135,12167,12516,4082,11055,12349,12526,12677,13415,4125,13419,4130,11263,12389,12465,12525,12571,13264,3805,11852,12177,12324,12397,12449,4164,3822,10610,10707,11260,11345,11428,11492,12345,12411,12683,12745,12765,12775,13234,13297,13302,13322,13343,4642,11006,11420,12529,13310,3447,10575,10673,10823,10887,10962,11009,11012,11043,11066,11102,11140,11179,11969,12015,12147,12202,12220,12223,12226,12229,12404,12418,12421,12424,12427,12509,12575,12694,12741,13023,13046,13122,13133,13138,13141,13144,13177,13188,13201,13254,13279,13282,3448,10602,10658,10892,10983,11105,11749,12048,12051,12062,12153,12164,12183,12188,12232,12255,12272,13037,13181,13204,13244,13249,13269,13274,3449,12436,12439,3522,12381,13102,13148,13152,13156,13160,13170,13174,4622,10494,10523,11027,11069,11078,11929,11950,12121,12124,12127,12130,12216,12235,12238,12251,12305,12308,12311,12314,12477,12480,12578,12581,12687,12727,12812,3597,10752,10843,11113,11157,11399,11402,11481,11563,11734,11980,12626,12815,13226,4634,11036,11149,11170,11173,11240,11243,11254,11361,11369,11383,11423,11440,11449,11489,11530,11535,11538,11557,11560,11597,11602,11605,11608,11611,11851,11994,12027,12299,12302,12336,12382,12407,12554,12600,12606,12706,12709,12731,12789,12795,12806,12822,13101,13114,13117,13215,13335,13354,13357,13391,13411,13445,3507,10874,10904,10913,10916,10919,11510,12728,12742,13083,13087,13090,3546,13379,3539,3957,3896,10526,11904,11932,13064,4631,10474,10862,10865,11364,11380,11867,11920,11954,11981,12080,12109,12112,12115,12118,12375,13285,3468,10907,11063,11133,11933,12079,12277,12485,12510,13111,13382,13465,3920,12024,13017,4255,3656,4628,3931,3965,4614,4617,4618,3424,3428,4616,4615,4378,4422,3753,11897,4349,11756,4644,10773,10776,4649,11246,11249,11443,11554,11571,11617,4039,11614,11953,11957,12637,12645,12734,13230,13291,3886,11176,11182,11200,12199,12329,12410,12702,3737,11318,11446,12442,12551,12561,12642,12697,12705,12819,13237,4212,3888,10910,11279,11452,11486,11497,12641,12691,13327,3598,3704,10826,10829,10922,11089,3706,4647,11898,4643,12985,4648,10666,10779,12504,12513,12557,12759,4310,11046,12522,12537,12560,4218,3919,12825,3864,3865,4645,10499,10502,10868,10871,11770,11958,12771,4646,11878,11963,3889,10832,11095,12093,13369,4150,4661,4687,4742,4746,4770,4785,4792,4794,4830,4835,4864,4870,4956,4982,4983,4998,5024,5052,5053,5076,5077,5091,5095,5120,5126,5142,5146,5147,5148,5153,5154,5177,5202,5204,5205,5215,5220,5226,5262,5263,5271,5279,5283,5285,5299,5302,5308,5313,5314,5327,5333,5336,5337,5341,5369,5384,5393,5395,5396,5399,5400,5401,5411,5413,5419,5420,5421,5427,5431,5432,5433,5441,5445,5446,5452,5465,5473,5486,5488,5496,5498,5499,5502,5506,5533,5547,5548,5563,5575,5597,5603,5627,5628,5631,5650,5658,5659,5664,5665,5675,5677,5690,5694,5703,5704,5706,5707,5723,5728,5737,5738,5749,5756,5770,5774,5777,5783,5784,5785,5788,5793,5829,5830,5833,5835,5837,5839,5840,5841,5843,5845,5847,5852,5859,5874,5888,5895,5896,5908,5919,5920,5927,5931,5933,5938,5946,5984,5998,6007,6010,6019,6023,6024,6025,6026,6027,6032,6037,6047,6053,6071,6075,6084,6113,6129,6155,6172,6173,6176,6191,6193,6195,6197,6212,6213,6216,6218,6221,6222,6239,6247,6248,6249,6251,6253,6290,6291,6296,6299,6305,6309,6343,6345,6347,6349,6359,6361,6364,6370,6372,6377,6380,6388,6396,6398,6399,6406,6429,6430,6431,6432,6433,6435,6441,6446,6480,6481,6484,6485,6486,6488,6489,6490,6491,6498,6533,6534,6543,6564,6565,6589,6591,6603,6604,6610,6640,6642,6657,6698,6700,6701,6757,6780,6823,6838,6846,6855,6856,6857,6858,6878,6879,6886,6898,6901,6903,6905,6906,6907,6909,6923,6934,6935,6936,6949,7003,7014,7016,7038,7039,7075,7082,7089,7119,7150,7206,7235,7292,7313,7322,7325,7385,7395,7457,7459,7473,7482,7483,7484,7501,7505,7507,7554,7564,7567,7582,7629,7631,7634,7678,7679,7697,7767,7785,7809,7833,7845,7859,7870,7881,7882,7908,7910,7912,7923,7963,7974,7999,8026,8058,8089,8123,8162,8178,8180,8196,8197,8263,8274,8339,8363,8383,8410,8449,8450,8467,8507,8509,8511,8517,8532,8536,8551,8572,8580,8582,8592,8597,8601,8602,8603,8604,8605,8606,8625,8639,8640,8658,8660,8664,8665,8666,8667,8668,8688,8689,8690,8700,8713,8716,8728,8733,8735,8737,8738,8739,8746,8747,8753,8761,8764,8781,8782,8784,8792,8793,8801,8820,8833,8837,8858,8880,8881,8884,8885,8891,8900,8901,8924,8935,8945,8946,8947,8950,8973,8974,8985,9034,9040,9046,9048,9064,9067,9078,9079,9080,9091,9155,9186,9187,9188,9203,9220,9228,9256,9257,9326,9359,9365,9375,9376,9377,9386,9416,9432,9436,9440,9462,9463,9490,9552,9557,9560,9597,9598,9599,9627,9628,9644,9665,9671,9683,9708,9729,9738,9739,9740,9741,9756,9758,9763,9793,9794,9800,9801,9847,9848,9859,9860,9884,9903,9905,9906,9914,9919,9926,9950,9985,9987,9991,10041,10077,10087,10089,10093,10094,10096,10105,10106,10126,10131,10225,10318,10319,10320,10321,10380,10398,2,8,9,4674,4675,4693,4735,4736,4738,4761,4763,4764,4774,4819,4821,4869,4999,5000,5017,5041,5098,5099,5105,5106,5108,5110,5119,5122,5123,5131,5144,5145,5151,5172,5173,5191,5196,5197,5198,5199,5203,5211,5214,5221,5276,5281,5282,5287,5293,5324,5334,5339,5349,5366,5368,5375,5376,5378,5389,5407,5409,5410,5417,5424,5425,5437,5438,5439,5440,5442,5443,5448,5449,5450,5451,5482,5483,5484,5492,5493,5494,5495,5539,5544,5546,5582,5584,5585,5587,5588,5590,5591,5593,5602,5607,5609,5610,5611,5613,5615,5616,5617,5618,5619,5620,5629,5639,5642,5653,5669,5670,5673,5683,5686,5687,5688,5715,5725,5740,5741,5750,5751,5753,5755,5760,5795,5800,5802,5861,5897,5898,5912,5918,5921,5922,5923,5924,5943,5947,5948,5957,5979,6011,6030,6031,6035,6036,6038,6063,6064,6065,6069,6070,6086,6097,6098,6131,6132,6136,6157,6160,6163,6185,6186,6214,6217,6226,6235,6237,6246,6250,6258,6259,6260,6261,6293,6310,6363,6400,6402,6403,6426,6427,6434,6438,6439,6442,6456,6472,6493,6494,6499,6510,6513,6526,6546,6552,6554,6569,6570,6573,6574,6576,6578,6579,6580,6582,6584,6590,6596,6597,6599,6600,6606,6608,6650,6656,6671,6675,6676,6677,6711,6716,6718,6723,6724,6734,6738,6752,6775,6776,6778,6779,6790,6796,6815,6818,6839,6859,6872,6873,6874,6880,6894,6913,6915,6917,6919,6924,6930,6932,6946,6951,6952,6989,6990,6991,7005,7006,7008,7009,7028,7030,7045,7073,7097,7108,7110,7112,7114,7115,7147,7148,7149,7153,7154,7161,7162,7164,7166,7188,7197,7198,7209,7219,7259,7269,7275,7282,7293,7298,7300,7307,7316,7329,7346,7367,7369,7388,7442,7443,7444,7446,7448,7452,7453,7458,7522,7550,7565,7581,7612,7616,7637,7662,7680,7683,7684,7694,7714,7716,7718,7720,7721,7722,7723,7724,7749,7775,7776,7808,7810,7811,7812,7818,7839,7856,7861,7867,7869,7877,7889,7890,7892,7913,7921,7942,8012,8013,8014,8061,8067,8068,8092,8093,8110,8111,8112,8169,8170,8199,8229,8238,8251,8266,8295,8299,8305,8317,8335,8340,8362,8375,8408,8437,8451,8471,8474,8500,8525,8583,8584,8587,8588,8656,8692,8693,8694,8695,8723,8756,8786,8794,8795,8836,8857,8902,8918,8964,8967,8982,8989,9031,9074,9075,9093,9094,9108,9225,9230,9234,9254,9265,9288,9290,9293,9299,9301,9302,9313,9314,9333,9339,9350,9358,9402,9420,9475,9476,9482,9521,9544,9549,9589,9603,9607,9608,9612,9613,9626,9649,9664,9673,9674,9676,9678,9707,9828,9829,9879,9880,9920,9955,10066,10135,10291,10310,10315,3,2783,2784,2785,2786,2788,2789,2792,2795,2796,2797,2803,2804,2805,2810,2811,2812,2813,2814,2815,2816,2819,2822,2823,2824,2827,2829,2833,2836,2837,2839,2840,2841,2846,2847,2848,2849,2850,2854,2858,2859,2860,2861,2892,2893,2895,2896,2898,2899,2901,2902,2903,2906,2907,2908,2910,2911,2912,2918,2920,2921,2928,2930,2931,2932,2945,2946,2947,2949,2954,2956,2957,2959,2960,2964,2965,2969,2979,2980,2981,3009,3032,5365,5406,5555,5556,5557,5640,5739,5769,5803,5819,5821,5827,5889,5890,5891,5892,5910,5945,6081,6120,6130,6154,6189,6227,6379,6384,6424,6425,6447,6449,6451,6458,6459,6460,6461,6462,6463,6464,6465,6547,6620,6621,6710,6747,6748,6787,6788,6931,6945,7018,7019,7025,7046,7079,7081,7085,7130,7151,7152,7170,7171,7208,7253,7254,7353,7421,7422,7423,7424,7441,7474,7527,7528,7536,7541,7542,7553,7584,7585,7586,7587,7730,7731,7733,7735,7741,7742,7816,7948,7953,7959,7960,7971,8009,8010,8087,8128,8182,8204,8205,8281,8376,8447,8448,8452,8486,8547,8548,8615,8632,8633,8634,8635,8790,9050,9051,9122,9136,9189,9190,9310,9343,9370,9404,9445,9647,9770,9915,10104,10160,10162,5980,6531,6532,6623,6643,6644,7070,7291,8708,8958,9147,9148,9216,9217,9399,9493,9494,9495,9496,9710,9979,9993,10366,10367,6605,8539,8540,9014,9032])).
% 164.10/163.71 cnf(13486,plain,
% 164.10/163.71 (E(f316(f316(f74(a898),f2(a898)),f366(f316(a102,f2(a898)),f2(a898))),f2(a898))),
% 164.10/163.71 inference(scs_inference,[],[4097,12724,12746,12881,12883,12885,3681,11335,12392,12495,12498,12592,12634,12638,12646,12718,12848,12850,13292,13298,13303,13307,13313,13316,13340,13442,13447,3690,12462,12945,12947,3697,3417,12892,3418,12937,12939,12941,3384,12800,4608,4609,11977,4371,12911,3421,12928,3261,3317,12873,3318,12924,3319,3320,3321,12674,12932,4607,3739,4589,10414,10424,10437,10448,10451,10555,10558,10561,10663,10798,11108,11301,11304,11327,11330,11527,11628,11635,11649,11695,11698,11731,11746,11809,11868,11884,12178,12203,12217,12246,12252,12346,12458,12627,12688,12828,13362,13366,3502,3466,12951,3649,12150,3368,4595,10647,10747,11211,11313,13047,13386,3058,3060,3061,3064,3065,3067,3068,3071,3072,3073,3079,3081,3083,3084,3085,3086,3091,3092,3096,3101,3104,3105,3112,3118,3123,3126,3127,3131,3137,3141,3143,3156,3163,3164,3166,3176,3177,3180,3181,3182,3194,3201,3206,3207,3215,3219,3222,3223,3224,3225,3226,3230,4586,3244,3316,4587,3778,4003,11915,3294,11625,3429,3405,3408,10486,10489,10582,10585,10901,11640,11643,11757,11796,11801,11910,12364,12568,12778,12830,12832,12840,12863,12865,12867,12871,12890,12898,12922,13164,13331,13446,13451,13467,3379,12659,12663,12667,3385,3394,3898,4200,3362,13227,3513,12721,12803,3283,3284,3643,3989,11671,3501,3345,3280,3307,3758,3303,3499,4106,3997,3820,3292,3293,3271,3910,3327,3505,11058,11185,12459,12678,3378,4071,4602,10477,10644,11524,12619,12660,12664,4605,12631,3438,11997,12000,13261,13351,13412,13416,13420,13424,4029,4632,11237,11340,11580,11583,3413,3839,3435,3550,3764,3542,4611,3517,12836,12838,12879,3342,3343,10547,10877,4620,3602,3335,3262,3364,11661,4214,12649,12790,4073,11257,11396,11455,12603,12609,12735,12738,12768,4650,11160,11409,11518,11544,11588,11594,12545,4651,11290,11412,11521,4652,11415,11466,4653,11473,4654,3363,3641,12501,12542,12630,3804,3590,4485,4486,3625,3662,4600,11654,3782,3741,3784,3953,3708,13147,13151,13155,13159,13169,3999,12492,3627,3881,3514,10566,10686,10764,10837,10840,10880,10980,11227,11845,12094,12174,12239,12317,12355,12430,12433,12772,13030,13069,13072,13130,13365,13370,3891,11901,3431,3526,11730,12012,13466,3703,4626,10454,10457,10483,10607,10782,10988,11003,11118,11566,11664,11844,12065,12070,12293,12296,12376,12548,12653,12976,12995,12998,13022,13073,13243,13248,13268,13273,4638,11773,11804,11841,11848,11881,13082,13086,3878,3650,3651,13001,13004,13007,13010,13040,13043,13394,13398,13402,4021,3615,13395,3616,13399,3474,3476,3450,4623,3341,4597,3830,4136,3634,4639,4207,11541,3763,3486,12018,12021,12466,12572,12749,4630,10442,10445,10615,10710,10729,10736,10759,10767,10770,10787,10973,11214,11435,11724,11818,11966,12083,12086,4176,4135,12167,12516,4082,11055,12349,12526,12677,13415,4125,13419,4130,11263,12389,12465,12525,12571,13264,4131,3805,11852,12177,12324,12397,12449,4164,3822,10610,10707,11260,11345,11428,11492,12345,12411,12683,12745,12765,12775,13234,13297,13302,13322,13343,4642,11006,11420,12529,13310,3447,10575,10673,10823,10887,10962,11009,11012,11043,11066,11102,11140,11179,11969,12015,12147,12202,12220,12223,12226,12229,12404,12418,12421,12424,12427,12509,12575,12694,12741,13023,13046,13122,13133,13138,13141,13144,13177,13188,13201,13254,13279,13282,3448,10602,10658,10892,10983,11105,11749,12048,12051,12062,12153,12164,12183,12188,12232,12255,12272,13037,13181,13204,13244,13249,13269,13274,3449,12436,12439,3522,12381,13102,13148,13152,13156,13160,13170,13174,4622,10494,10523,11027,11069,11078,11929,11950,12121,12124,12127,12130,12216,12235,12238,12251,12305,12308,12311,12314,12477,12480,12578,12581,12687,12727,12812,3597,10752,10843,11113,11157,11399,11402,11481,11563,11734,11980,12626,12815,13226,4634,11036,11149,11170,11173,11240,11243,11254,11361,11369,11383,11423,11440,11449,11489,11530,11535,11538,11557,11560,11597,11602,11605,11608,11611,11851,11994,12027,12299,12302,12336,12382,12407,12554,12600,12606,12706,12709,12731,12789,12795,12806,12822,13101,13114,13117,13215,13335,13354,13357,13391,13411,13445,3507,10874,10904,10913,10916,10919,11510,12728,12742,13083,13087,13090,3546,13379,13437,3539,3957,3896,10526,11904,11932,13064,4631,10474,10862,10865,11364,11380,11867,11920,11954,11981,12080,12109,12112,12115,12118,12375,13285,3468,10907,11063,11133,11933,12079,12277,12485,12510,13111,13382,13465,3920,12024,13017,4255,3656,4628,3931,3965,4614,4617,4618,3424,3428,4616,4615,4378,4422,3753,11897,4349,11756,4644,10773,10776,4649,11246,11249,11443,11554,11571,11617,4039,11614,11953,11957,12637,12645,12734,13230,13291,3886,11176,11182,11200,12199,12329,12410,12702,3737,11318,11446,12442,12551,12561,12642,12697,12705,12819,13237,4212,3888,10910,11279,11452,11486,11497,12641,12691,13327,3598,3704,10826,10829,10922,11089,3706,4647,11898,4643,12985,4648,10666,10779,12504,12513,12557,12759,4310,11046,12522,12537,12560,4218,3919,12825,3864,3865,4645,10499,10502,10868,10871,11770,11958,12771,4646,11878,11963,3889,10832,11095,12093,13369,4150,4661,4687,4742,4746,4770,4785,4792,4794,4830,4835,4864,4870,4956,4982,4983,4998,5024,5052,5053,5076,5077,5091,5095,5120,5126,5142,5146,5147,5148,5153,5154,5177,5202,5204,5205,5215,5220,5226,5262,5263,5271,5279,5283,5285,5299,5302,5308,5313,5314,5327,5333,5336,5337,5341,5369,5384,5393,5395,5396,5399,5400,5401,5411,5413,5419,5420,5421,5427,5431,5432,5433,5441,5445,5446,5452,5465,5473,5486,5488,5496,5498,5499,5502,5506,5533,5547,5548,5563,5575,5597,5603,5627,5628,5631,5650,5658,5659,5664,5665,5675,5677,5690,5694,5703,5704,5706,5707,5723,5728,5737,5738,5749,5756,5770,5774,5777,5783,5784,5785,5788,5793,5829,5830,5833,5835,5837,5839,5840,5841,5843,5845,5847,5852,5859,5874,5888,5895,5896,5908,5919,5920,5927,5931,5933,5938,5946,5984,5998,6007,6010,6019,6023,6024,6025,6026,6027,6032,6037,6047,6053,6071,6075,6084,6113,6129,6155,6172,6173,6176,6191,6193,6195,6197,6212,6213,6216,6218,6221,6222,6239,6247,6248,6249,6251,6253,6290,6291,6296,6299,6305,6309,6343,6345,6347,6349,6359,6361,6364,6370,6372,6377,6380,6388,6396,6398,6399,6406,6429,6430,6431,6432,6433,6435,6441,6446,6480,6481,6484,6485,6486,6488,6489,6490,6491,6498,6533,6534,6543,6564,6565,6589,6591,6603,6604,6610,6640,6642,6657,6698,6700,6701,6757,6780,6823,6838,6846,6855,6856,6857,6858,6878,6879,6886,6898,6901,6903,6905,6906,6907,6909,6923,6934,6935,6936,6949,7003,7014,7016,7038,7039,7075,7082,7089,7119,7150,7206,7235,7292,7313,7322,7325,7385,7395,7457,7459,7473,7482,7483,7484,7501,7505,7507,7554,7564,7567,7582,7629,7631,7634,7678,7679,7697,7767,7785,7809,7833,7845,7859,7870,7881,7882,7908,7910,7912,7923,7963,7974,7999,8026,8058,8089,8123,8162,8178,8180,8196,8197,8263,8274,8339,8363,8383,8410,8449,8450,8467,8507,8509,8511,8517,8532,8536,8551,8572,8580,8582,8592,8597,8601,8602,8603,8604,8605,8606,8625,8639,8640,8658,8660,8664,8665,8666,8667,8668,8688,8689,8690,8700,8713,8716,8728,8733,8735,8737,8738,8739,8746,8747,8753,8761,8764,8781,8782,8784,8792,8793,8801,8820,8833,8837,8858,8880,8881,8884,8885,8891,8900,8901,8924,8935,8945,8946,8947,8950,8973,8974,8985,9034,9040,9046,9048,9064,9067,9078,9079,9080,9091,9155,9186,9187,9188,9203,9220,9228,9256,9257,9326,9359,9365,9375,9376,9377,9386,9416,9432,9436,9440,9462,9463,9490,9552,9557,9560,9597,9598,9599,9627,9628,9644,9665,9671,9683,9708,9729,9738,9739,9740,9741,9756,9758,9763,9793,9794,9800,9801,9847,9848,9859,9860,9884,9903,9905,9906,9914,9919,9926,9950,9985,9987,9991,10041,10077,10087,10089,10093,10094,10096,10105,10106,10126,10131,10225,10318,10319,10320,10321,10380,10398,2,8,9,4674,4675,4693,4735,4736,4738,4761,4763,4764,4774,4819,4821,4869,4999,5000,5017,5041,5098,5099,5105,5106,5108,5110,5119,5122,5123,5131,5144,5145,5151,5172,5173,5191,5196,5197,5198,5199,5203,5211,5214,5221,5276,5281,5282,5287,5293,5324,5334,5339,5349,5366,5368,5375,5376,5378,5389,5407,5409,5410,5417,5424,5425,5437,5438,5439,5440,5442,5443,5448,5449,5450,5451,5482,5483,5484,5492,5493,5494,5495,5539,5544,5546,5582,5584,5585,5587,5588,5590,5591,5593,5602,5607,5609,5610,5611,5613,5615,5616,5617,5618,5619,5620,5629,5639,5642,5653,5669,5670,5673,5683,5686,5687,5688,5715,5725,5740,5741,5750,5751,5753,5755,5760,5795,5800,5802,5861,5897,5898,5912,5918,5921,5922,5923,5924,5943,5947,5948,5957,5979,6011,6030,6031,6035,6036,6038,6063,6064,6065,6069,6070,6086,6097,6098,6131,6132,6136,6157,6160,6163,6185,6186,6214,6217,6226,6235,6237,6246,6250,6258,6259,6260,6261,6293,6310,6363,6400,6402,6403,6426,6427,6434,6438,6439,6442,6456,6472,6493,6494,6499,6510,6513,6526,6546,6552,6554,6569,6570,6573,6574,6576,6578,6579,6580,6582,6584,6590,6596,6597,6599,6600,6606,6608,6650,6656,6671,6675,6676,6677,6711,6716,6718,6723,6724,6734,6738,6752,6775,6776,6778,6779,6790,6796,6815,6818,6839,6859,6872,6873,6874,6880,6894,6913,6915,6917,6919,6924,6930,6932,6946,6951,6952,6989,6990,6991,7005,7006,7008,7009,7028,7030,7045,7073,7097,7108,7110,7112,7114,7115,7147,7148,7149,7153,7154,7161,7162,7164,7166,7188,7197,7198,7209,7219,7259,7269,7275,7282,7293,7298,7300,7307,7316,7329,7346,7367,7369,7388,7442,7443,7444,7446,7448,7452,7453,7458,7522,7550,7565,7581,7612,7616,7637,7662,7680,7683,7684,7694,7714,7716,7718,7720,7721,7722,7723,7724,7749,7775,7776,7808,7810,7811,7812,7818,7839,7856,7861,7867,7869,7877,7889,7890,7892,7913,7921,7942,8012,8013,8014,8061,8067,8068,8092,8093,8110,8111,8112,8169,8170,8199,8229,8238,8251,8266,8295,8299,8305,8317,8335,8340,8362,8375,8408,8437,8451,8471,8474,8500,8525,8583,8584,8587,8588,8656,8692,8693,8694,8695,8723,8756,8786,8794,8795,8836,8857,8902,8918,8964,8967,8982,8989,9031,9074,9075,9093,9094,9108,9225,9230,9234,9254,9265,9288,9290,9293,9299,9301,9302,9313,9314,9333,9339,9350,9358,9402,9420,9475,9476,9482,9521,9544,9549,9589,9603,9607,9608,9612,9613,9626,9649,9664,9673,9674,9676,9678,9707,9828,9829,9879,9880,9920,9955,10066,10135,10291,10310,10315,3,2783,2784,2785,2786,2788,2789,2792,2795,2796,2797,2803,2804,2805,2810,2811,2812,2813,2814,2815,2816,2819,2822,2823,2824,2827,2829,2833,2836,2837,2839,2840,2841,2846,2847,2848,2849,2850,2854,2858,2859,2860,2861,2892,2893,2895,2896,2898,2899,2901,2902,2903,2906,2907,2908,2910,2911,2912,2918,2920,2921,2928,2930,2931,2932,2945,2946,2947,2949,2954,2956,2957,2959,2960,2964,2965,2969,2979,2980,2981,3009,3032,5365,5406,5555,5556,5557,5640,5739,5769,5803,5819,5821,5827,5889,5890,5891,5892,5910,5945,6081,6120,6130,6154,6189,6227,6379,6384,6424,6425,6447,6449,6451,6458,6459,6460,6461,6462,6463,6464,6465,6547,6620,6621,6710,6747,6748,6787,6788,6931,6945,7018,7019,7025,7046,7079,7081,7085,7130,7151,7152,7170,7171,7208,7253,7254,7353,7421,7422,7423,7424,7441,7474,7527,7528,7536,7541,7542,7553,7584,7585,7586,7587,7730,7731,7733,7735,7741,7742,7816,7948,7953,7959,7960,7971,8009,8010,8087,8128,8182,8204,8205,8281,8376,8447,8448,8452,8486,8547,8548,8615,8632,8633,8634,8635,8790,9050,9051,9122,9136,9189,9190,9310,9343,9370,9404,9445,9647,9770,9915,10104,10160,10162,5980,6531,6532,6623,6643,6644,7070,7291,8708,8958,9147,9148,9216,9217,9399,9493,9494,9495,9496,9710,9979,9993,10366,10367,6605,8539,8540,9014,9032,9980,10365,4708,4740])).
% 164.10/163.71 cnf(13550,plain,
% 164.10/163.71 (P107(f316(f316(f225(a1),f2(a1)),f316(f69(a1),f72(a1))))),
% 164.10/163.71 inference(scs_inference,[],[4097,12724,12746,12881,12883,12885,3681,11335,12392,12495,12498,12592,12634,12638,12646,12718,12848,12850,13292,13298,13303,13307,13313,13316,13340,13442,13447,3690,12462,12945,12947,3697,3417,12892,3418,12937,12939,12941,3384,12800,4608,4609,11977,4371,12911,3421,12928,3261,3317,12873,3318,12924,3319,3320,3321,12674,12932,4607,3739,4589,10414,10424,10437,10448,10451,10555,10558,10561,10663,10798,11108,11301,11304,11327,11330,11527,11628,11635,11649,11695,11698,11731,11746,11809,11868,11884,12178,12203,12217,12246,12252,12346,12458,12627,12688,12828,13362,13366,3502,3466,12951,3649,12150,3368,4595,10647,10747,11211,11313,13047,13386,3058,3060,3061,3064,3065,3067,3068,3071,3072,3073,3079,3081,3083,3084,3085,3086,3091,3092,3096,3101,3104,3105,3112,3118,3123,3126,3127,3131,3137,3141,3143,3156,3163,3164,3166,3176,3177,3180,3181,3182,3194,3201,3206,3207,3215,3219,3222,3223,3224,3225,3226,3230,4586,3244,3316,4587,3778,4003,11915,3294,11625,3429,3405,3408,10486,10489,10582,10585,10901,11640,11643,11757,11796,11801,11910,12364,12568,12778,12830,12832,12840,12863,12865,12867,12871,12890,12898,12922,13164,13331,13446,13451,13467,3379,12659,12663,12667,3385,3394,3898,4200,3362,13227,3513,12721,12803,3283,3284,3643,3989,11671,3501,3345,3280,3307,3758,3303,3499,4106,3997,3820,3292,3293,3271,3910,3327,3505,11058,11185,12459,12678,3378,4071,4602,10477,10644,11524,12619,12660,12664,4605,12631,3438,11997,12000,13261,13351,13412,13416,13420,13424,4029,4632,11237,11340,11580,11583,3413,3839,3435,3550,3764,3542,4611,3517,12836,12838,12879,3342,3343,10547,10877,4620,3602,3335,3262,3364,11661,4214,12649,12790,4073,11257,11396,11455,12603,12609,12735,12738,12768,4650,11160,11409,11518,11544,11588,11594,12545,4651,11290,11412,11521,4652,11415,11466,4653,11473,4654,3363,3641,12501,12542,12630,3804,3590,4485,4486,3625,3662,4600,11654,3782,3741,3784,3953,3708,13147,13151,13155,13159,13169,3999,12492,3627,3881,3514,10566,10686,10764,10837,10840,10880,10980,11227,11845,12094,12174,12239,12317,12355,12430,12433,12772,13030,13069,13072,13130,13365,13370,3891,11901,3431,3526,11730,12012,13466,3703,4626,10454,10457,10483,10607,10782,10988,11003,11118,11566,11664,11844,12065,12070,12293,12296,12376,12548,12653,12976,12995,12998,13022,13073,13243,13248,13268,13273,4638,11773,11804,11841,11848,11881,13082,13086,3878,3650,3651,13001,13004,13007,13010,13040,13043,13394,13398,13402,4021,3615,13395,3616,13399,3474,3476,3450,4623,3341,4597,3830,4136,3634,4639,4207,11541,3763,3486,12018,12021,12466,12572,12749,4630,10442,10445,10615,10710,10729,10736,10759,10767,10770,10787,10973,11214,11435,11724,11818,11966,12083,12086,4176,4135,12167,12516,4082,11055,12349,12526,12677,13415,4125,13419,4130,11263,12389,12465,12525,12571,13264,4131,3805,11852,12177,12324,12397,12449,4164,3822,10610,10707,11260,11345,11428,11492,12345,12411,12683,12745,12765,12775,13234,13297,13302,13322,13343,4642,11006,11420,12529,13310,3447,10575,10673,10823,10887,10962,11009,11012,11043,11066,11102,11140,11179,11969,12015,12147,12202,12220,12223,12226,12229,12404,12418,12421,12424,12427,12509,12575,12694,12741,13023,13046,13122,13133,13138,13141,13144,13177,13188,13201,13254,13279,13282,3448,10602,10658,10892,10983,11105,11749,12048,12051,12062,12153,12164,12183,12188,12232,12255,12272,13037,13181,13204,13244,13249,13269,13274,3449,12436,12439,3522,12381,13102,13148,13152,13156,13160,13170,13174,4622,10494,10523,11027,11069,11078,11929,11950,12121,12124,12127,12130,12216,12235,12238,12251,12305,12308,12311,12314,12477,12480,12578,12581,12687,12727,12812,3597,10752,10843,11113,11157,11399,11402,11481,11563,11734,11980,12626,12815,13226,4634,11036,11149,11170,11173,11240,11243,11254,11361,11369,11383,11423,11440,11449,11489,11530,11535,11538,11557,11560,11597,11602,11605,11608,11611,11851,11994,12027,12299,12302,12336,12382,12407,12554,12600,12606,12706,12709,12731,12789,12795,12806,12822,13101,13114,13117,13215,13335,13354,13357,13391,13411,13445,3507,10874,10904,10913,10916,10919,11510,12728,12742,13083,13087,13090,3546,13379,13437,3539,3957,3896,10526,11904,11932,13064,4631,10474,10862,10865,11364,11380,11867,11920,11954,11981,12080,12109,12112,12115,12118,12375,13285,3468,10907,11063,11133,11933,12079,12277,12485,12510,13111,13382,13465,3920,12024,13017,4255,3656,4628,3931,3965,4614,4617,4618,3424,3428,4616,4615,4378,4422,3753,11897,4349,11756,4644,10773,10776,4649,11246,11249,11443,11554,11571,11617,4039,11614,11953,11957,12637,12645,12734,13230,13291,3886,11176,11182,11200,12199,12329,12410,12702,3737,11318,11446,12442,12551,12561,12642,12697,12705,12819,13237,4212,3888,10910,11279,11452,11486,11497,12641,12691,13327,3598,3704,10826,10829,10922,11089,3706,4647,11898,4643,12985,4648,10666,10779,12504,12513,12557,12759,4310,11046,12522,12537,12560,4218,3919,12825,3864,3865,4645,10499,10502,10868,10871,11770,11958,12771,4646,11878,11963,3889,10832,11095,12093,13369,4150,4661,4687,4742,4746,4770,4785,4792,4794,4830,4835,4864,4870,4956,4982,4983,4998,5024,5052,5053,5076,5077,5091,5095,5120,5126,5142,5146,5147,5148,5153,5154,5177,5202,5204,5205,5215,5220,5226,5262,5263,5271,5279,5283,5285,5299,5302,5308,5313,5314,5327,5333,5336,5337,5341,5369,5384,5393,5395,5396,5399,5400,5401,5411,5413,5419,5420,5421,5427,5431,5432,5433,5441,5445,5446,5452,5465,5473,5486,5488,5496,5498,5499,5502,5506,5533,5547,5548,5563,5575,5597,5603,5627,5628,5631,5650,5658,5659,5664,5665,5675,5677,5690,5694,5703,5704,5706,5707,5723,5728,5737,5738,5749,5756,5770,5774,5777,5783,5784,5785,5788,5793,5829,5830,5833,5835,5837,5839,5840,5841,5843,5845,5847,5852,5859,5874,5888,5895,5896,5908,5919,5920,5927,5931,5933,5938,5946,5984,5998,6007,6010,6019,6023,6024,6025,6026,6027,6032,6037,6047,6053,6071,6075,6084,6113,6129,6155,6172,6173,6176,6191,6193,6195,6197,6212,6213,6216,6218,6221,6222,6239,6247,6248,6249,6251,6253,6290,6291,6296,6299,6305,6309,6343,6345,6347,6349,6359,6361,6364,6370,6372,6377,6380,6388,6396,6398,6399,6406,6429,6430,6431,6432,6433,6435,6441,6446,6480,6481,6484,6485,6486,6488,6489,6490,6491,6498,6533,6534,6543,6564,6565,6589,6591,6603,6604,6610,6640,6642,6657,6698,6700,6701,6757,6780,6823,6838,6846,6855,6856,6857,6858,6878,6879,6886,6898,6901,6903,6905,6906,6907,6909,6923,6934,6935,6936,6949,7003,7014,7016,7038,7039,7075,7082,7089,7119,7150,7206,7235,7292,7313,7322,7325,7385,7395,7457,7459,7473,7482,7483,7484,7501,7505,7507,7554,7564,7567,7582,7629,7631,7634,7678,7679,7697,7767,7785,7809,7833,7845,7859,7870,7881,7882,7908,7910,7912,7923,7963,7974,7999,8026,8058,8089,8123,8162,8178,8180,8196,8197,8263,8274,8339,8363,8383,8410,8449,8450,8467,8507,8509,8511,8517,8532,8536,8551,8572,8580,8582,8592,8597,8601,8602,8603,8604,8605,8606,8625,8639,8640,8658,8660,8664,8665,8666,8667,8668,8688,8689,8690,8700,8713,8716,8728,8733,8735,8737,8738,8739,8746,8747,8753,8761,8764,8781,8782,8784,8792,8793,8801,8820,8833,8837,8858,8880,8881,8884,8885,8891,8900,8901,8924,8935,8945,8946,8947,8950,8973,8974,8985,9034,9040,9046,9048,9064,9067,9078,9079,9080,9091,9155,9186,9187,9188,9203,9220,9228,9256,9257,9326,9359,9365,9375,9376,9377,9386,9416,9432,9436,9440,9462,9463,9490,9552,9557,9560,9597,9598,9599,9627,9628,9644,9665,9671,9683,9708,9729,9738,9739,9740,9741,9756,9758,9763,9793,9794,9800,9801,9847,9848,9859,9860,9884,9903,9905,9906,9914,9919,9926,9950,9985,9987,9991,10041,10077,10087,10089,10093,10094,10096,10105,10106,10126,10131,10225,10318,10319,10320,10321,10380,10398,2,8,9,4674,4675,4693,4735,4736,4738,4761,4763,4764,4774,4819,4821,4869,4999,5000,5017,5041,5098,5099,5105,5106,5108,5110,5119,5122,5123,5131,5144,5145,5151,5172,5173,5191,5196,5197,5198,5199,5203,5211,5214,5221,5276,5281,5282,5287,5293,5324,5334,5339,5349,5366,5368,5375,5376,5378,5389,5407,5409,5410,5417,5424,5425,5437,5438,5439,5440,5442,5443,5448,5449,5450,5451,5482,5483,5484,5492,5493,5494,5495,5539,5544,5546,5582,5584,5585,5587,5588,5590,5591,5593,5602,5607,5609,5610,5611,5613,5615,5616,5617,5618,5619,5620,5629,5639,5642,5653,5669,5670,5673,5683,5686,5687,5688,5715,5725,5740,5741,5750,5751,5753,5755,5760,5795,5800,5802,5861,5897,5898,5912,5918,5921,5922,5923,5924,5943,5947,5948,5957,5979,6011,6030,6031,6035,6036,6038,6063,6064,6065,6069,6070,6086,6097,6098,6131,6132,6136,6157,6160,6163,6185,6186,6214,6217,6226,6235,6237,6246,6250,6258,6259,6260,6261,6293,6310,6363,6400,6402,6403,6426,6427,6434,6438,6439,6442,6456,6472,6493,6494,6499,6510,6513,6526,6546,6552,6554,6569,6570,6573,6574,6576,6578,6579,6580,6582,6584,6590,6596,6597,6599,6600,6606,6608,6650,6656,6671,6675,6676,6677,6711,6716,6718,6723,6724,6734,6738,6752,6775,6776,6778,6779,6790,6796,6815,6818,6839,6859,6872,6873,6874,6880,6894,6913,6915,6917,6919,6924,6930,6932,6946,6951,6952,6989,6990,6991,7005,7006,7008,7009,7028,7030,7045,7073,7097,7108,7110,7112,7114,7115,7147,7148,7149,7153,7154,7161,7162,7164,7166,7188,7197,7198,7209,7219,7259,7269,7275,7282,7293,7298,7300,7307,7316,7329,7346,7367,7369,7388,7442,7443,7444,7446,7448,7452,7453,7458,7522,7550,7565,7581,7612,7616,7637,7662,7680,7683,7684,7694,7714,7716,7718,7720,7721,7722,7723,7724,7749,7775,7776,7808,7810,7811,7812,7818,7839,7856,7861,7867,7869,7877,7889,7890,7892,7913,7921,7942,8012,8013,8014,8061,8067,8068,8092,8093,8110,8111,8112,8169,8170,8199,8229,8238,8251,8266,8295,8299,8305,8317,8335,8340,8362,8375,8408,8437,8451,8471,8474,8500,8525,8583,8584,8587,8588,8656,8692,8693,8694,8695,8723,8756,8786,8794,8795,8836,8857,8902,8918,8964,8967,8982,8989,9031,9074,9075,9093,9094,9108,9225,9230,9234,9254,9265,9288,9290,9293,9299,9301,9302,9313,9314,9333,9339,9350,9358,9402,9420,9475,9476,9482,9521,9544,9549,9589,9603,9607,9608,9612,9613,9626,9649,9664,9673,9674,9676,9678,9707,9828,9829,9879,9880,9920,9955,10066,10135,10291,10310,10315,3,2783,2784,2785,2786,2788,2789,2792,2795,2796,2797,2803,2804,2805,2810,2811,2812,2813,2814,2815,2816,2819,2822,2823,2824,2827,2829,2833,2836,2837,2839,2840,2841,2846,2847,2848,2849,2850,2854,2858,2859,2860,2861,2892,2893,2895,2896,2898,2899,2901,2902,2903,2906,2907,2908,2910,2911,2912,2918,2920,2921,2928,2930,2931,2932,2945,2946,2947,2949,2954,2956,2957,2959,2960,2964,2965,2969,2979,2980,2981,3009,3032,5365,5406,5555,5556,5557,5640,5739,5769,5803,5819,5821,5827,5889,5890,5891,5892,5910,5945,6081,6120,6130,6154,6189,6227,6379,6384,6424,6425,6447,6449,6451,6458,6459,6460,6461,6462,6463,6464,6465,6547,6620,6621,6710,6747,6748,6787,6788,6931,6945,7018,7019,7025,7046,7079,7081,7085,7130,7151,7152,7170,7171,7208,7253,7254,7353,7421,7422,7423,7424,7441,7474,7527,7528,7536,7541,7542,7553,7584,7585,7586,7587,7730,7731,7733,7735,7741,7742,7816,7948,7953,7959,7960,7971,8009,8010,8087,8128,8182,8204,8205,8281,8376,8447,8448,8452,8486,8547,8548,8615,8632,8633,8634,8635,8790,9050,9051,9122,9136,9189,9190,9310,9343,9370,9404,9445,9647,9770,9915,10104,10160,10162,5980,6531,6532,6623,6643,6644,7070,7291,8708,8958,9147,9148,9216,9217,9399,9493,9494,9495,9496,9710,9979,9993,10366,10367,6605,8539,8540,9014,9032,9980,10365,4708,4740,4741,4744,4786,4790,4795,4836,4933,4950,4980,4981,5012,5016,5075,5078,5138,5270,5309,5310,5312,5319,5320,5344,5383,5414,5436,5571,5645,5646,5647,5708,5765,5766])).
% 164.10/163.71 cnf(13564,plain,
% 164.10/163.71 (~P107(f316(f316(f225(a898),f316(a102,f316(f316(f74(a898),x135641),x135642))),f316(a102,x135641)))),
% 164.10/163.71 inference(scs_inference,[],[4097,12724,12746,12881,12883,12885,3681,11335,12392,12495,12498,12592,12634,12638,12646,12718,12848,12850,13292,13298,13303,13307,13313,13316,13340,13442,13447,3690,12462,12945,12947,3697,3417,12892,3418,12937,12939,12941,3384,12800,4608,4609,11977,4371,12911,3421,12928,3261,3317,12873,3318,12924,3319,3320,3321,12674,12932,4607,3739,4589,10414,10424,10437,10448,10451,10555,10558,10561,10663,10798,11108,11301,11304,11327,11330,11527,11628,11635,11649,11695,11698,11731,11746,11809,11868,11884,12178,12203,12217,12246,12252,12346,12458,12627,12688,12828,13362,13366,3502,3466,12951,3649,12150,3368,4595,10647,10747,11211,11313,13047,13386,3058,3060,3061,3064,3065,3067,3068,3071,3072,3073,3079,3081,3083,3084,3085,3086,3091,3092,3096,3101,3104,3105,3112,3118,3123,3126,3127,3131,3137,3141,3143,3156,3163,3164,3166,3176,3177,3180,3181,3182,3194,3201,3206,3207,3215,3219,3222,3223,3224,3225,3226,3230,4586,3244,3316,4587,3778,4003,11915,3294,11625,3429,3405,3408,10486,10489,10582,10585,10901,11640,11643,11757,11796,11801,11910,12364,12568,12778,12830,12832,12840,12863,12865,12867,12871,12890,12898,12922,13164,13331,13446,13451,13467,3379,12659,12663,12667,3385,3394,3898,4200,3362,13227,3513,12721,12803,3283,3284,3643,3989,11671,3501,3345,3280,3307,3758,3303,3499,4106,3997,3820,3292,3293,3271,3910,3327,3505,11058,11185,12459,12678,3378,4071,4602,10477,10644,11524,12619,12660,12664,4605,12631,3438,11997,12000,13261,13351,13412,13416,13420,13424,4029,4632,11237,11340,11580,11583,3413,3839,3435,3550,3764,3542,4611,3517,12836,12838,12879,3342,3343,10547,10877,4620,3602,3335,3262,3364,11661,4214,12649,12790,4073,11257,11396,11455,12603,12609,12735,12738,12768,4650,11160,11409,11518,11544,11588,11594,12545,4651,11290,11412,11521,4652,11415,11466,4653,11473,4654,3363,3641,12501,12542,12630,3804,3590,4485,4486,3625,3662,4600,11654,3782,3741,3784,3953,3708,13147,13151,13155,13159,13169,3999,12492,3627,3881,3514,10566,10686,10764,10837,10840,10880,10980,11227,11845,12094,12174,12239,12317,12355,12430,12433,12772,13030,13069,13072,13130,13365,13370,3891,11901,3431,3526,11730,12012,13466,3703,4626,10454,10457,10483,10607,10782,10988,11003,11118,11566,11664,11844,12065,12070,12293,12296,12376,12548,12653,12976,12995,12998,13022,13073,13243,13248,13268,13273,4638,11773,11804,11841,11848,11881,13082,13086,3878,3650,3651,13001,13004,13007,13010,13040,13043,13394,13398,13402,4021,3615,13395,3616,13399,3474,3476,3450,4623,3341,4597,3830,4136,3634,4639,4207,11541,3763,3486,12018,12021,12466,12572,12749,4630,10442,10445,10615,10710,10729,10736,10759,10767,10770,10787,10973,11214,11435,11724,11818,11966,12083,12086,4176,4135,12167,12516,4082,11055,12349,12526,12677,13415,4125,13419,4130,11263,12389,12465,12525,12571,13264,4131,3805,11852,12177,12324,12397,12449,4164,3822,10610,10707,11260,11345,11428,11492,12345,12411,12683,12745,12765,12775,13234,13297,13302,13322,13343,4642,11006,11420,12529,13310,3447,10575,10673,10823,10887,10962,11009,11012,11043,11066,11102,11140,11179,11969,12015,12147,12202,12220,12223,12226,12229,12404,12418,12421,12424,12427,12509,12575,12694,12741,13023,13046,13122,13133,13138,13141,13144,13177,13188,13201,13254,13279,13282,3448,10602,10658,10892,10983,11105,11749,12048,12051,12062,12153,12164,12183,12188,12232,12255,12272,13037,13181,13204,13244,13249,13269,13274,3449,12436,12439,3522,12381,13102,13148,13152,13156,13160,13170,13174,4622,10494,10523,11027,11069,11078,11929,11950,12121,12124,12127,12130,12216,12235,12238,12251,12305,12308,12311,12314,12477,12480,12578,12581,12687,12727,12812,3597,10752,10843,11113,11157,11399,11402,11481,11563,11734,11980,12626,12815,13226,4634,11036,11149,11170,11173,11240,11243,11254,11361,11369,11383,11423,11440,11449,11489,11530,11535,11538,11557,11560,11597,11602,11605,11608,11611,11851,11994,12027,12299,12302,12336,12382,12407,12554,12600,12606,12706,12709,12731,12789,12795,12806,12822,13101,13114,13117,13215,13335,13354,13357,13391,13411,13445,3507,10874,10904,10913,10916,10919,11510,12728,12742,13083,13087,13090,3546,13379,13437,3539,3957,3896,10526,11904,11932,13064,4631,10474,10862,10865,11364,11380,11867,11920,11954,11981,12080,12109,12112,12115,12118,12375,13285,3468,10907,11063,11133,11933,12079,12277,12485,12510,13111,13382,13465,3920,12024,13017,4255,3656,4628,3931,3965,4614,4617,4618,3424,3428,4616,4615,4378,4422,3753,11897,4349,11756,4644,10773,10776,4649,11246,11249,11443,11554,11571,11617,4039,11614,11953,11957,12637,12645,12734,13230,13291,3886,11176,11182,11200,12199,12329,12410,12702,3737,11318,11446,12442,12551,12561,12642,12697,12705,12819,13237,4212,3888,10910,11279,11452,11486,11497,12641,12691,13327,3598,3704,10826,10829,10922,11089,3706,4647,11898,4643,12985,4648,10666,10779,12504,12513,12557,12759,4310,11046,12522,12537,12560,4218,3919,12825,3864,3865,4645,10499,10502,10868,10871,11770,11958,12771,4646,11878,11963,3889,10832,11095,12093,13369,4150,4661,4687,4742,4746,4770,4785,4792,4794,4830,4835,4864,4870,4956,4982,4983,4998,5024,5052,5053,5076,5077,5091,5095,5120,5126,5142,5146,5147,5148,5153,5154,5177,5202,5204,5205,5215,5220,5226,5262,5263,5271,5279,5283,5285,5299,5302,5308,5313,5314,5327,5333,5336,5337,5341,5369,5384,5393,5395,5396,5399,5400,5401,5411,5413,5419,5420,5421,5427,5431,5432,5433,5441,5445,5446,5452,5465,5473,5486,5488,5496,5498,5499,5502,5506,5533,5547,5548,5563,5575,5597,5603,5627,5628,5631,5650,5658,5659,5664,5665,5675,5677,5690,5694,5703,5704,5706,5707,5723,5728,5737,5738,5749,5756,5770,5774,5777,5783,5784,5785,5788,5793,5829,5830,5833,5835,5837,5839,5840,5841,5843,5845,5847,5852,5859,5874,5888,5895,5896,5908,5919,5920,5927,5931,5933,5938,5946,5984,5998,6007,6010,6019,6023,6024,6025,6026,6027,6032,6037,6047,6053,6071,6075,6084,6113,6129,6155,6172,6173,6176,6191,6193,6195,6197,6212,6213,6216,6218,6221,6222,6239,6247,6248,6249,6251,6253,6290,6291,6296,6299,6305,6309,6343,6345,6347,6349,6359,6361,6364,6370,6372,6377,6380,6388,6396,6398,6399,6406,6429,6430,6431,6432,6433,6435,6441,6446,6480,6481,6484,6485,6486,6488,6489,6490,6491,6498,6533,6534,6543,6564,6565,6589,6591,6603,6604,6610,6640,6642,6657,6698,6700,6701,6757,6780,6823,6838,6846,6855,6856,6857,6858,6878,6879,6886,6898,6901,6903,6905,6906,6907,6909,6923,6934,6935,6936,6949,7003,7014,7016,7038,7039,7075,7082,7089,7119,7150,7206,7235,7292,7313,7322,7325,7385,7395,7457,7459,7473,7482,7483,7484,7501,7505,7507,7554,7564,7567,7582,7629,7631,7634,7678,7679,7697,7767,7785,7809,7833,7845,7859,7870,7881,7882,7908,7910,7912,7923,7963,7974,7999,8026,8058,8089,8123,8162,8178,8180,8196,8197,8263,8274,8339,8363,8383,8410,8449,8450,8467,8507,8509,8511,8517,8532,8536,8551,8572,8580,8582,8592,8597,8601,8602,8603,8604,8605,8606,8625,8639,8640,8658,8660,8664,8665,8666,8667,8668,8688,8689,8690,8700,8713,8716,8728,8733,8735,8737,8738,8739,8746,8747,8753,8761,8764,8781,8782,8784,8792,8793,8801,8820,8833,8837,8858,8880,8881,8884,8885,8891,8900,8901,8924,8935,8945,8946,8947,8950,8973,8974,8985,9034,9040,9046,9048,9064,9067,9078,9079,9080,9091,9155,9186,9187,9188,9203,9220,9228,9256,9257,9326,9359,9365,9375,9376,9377,9386,9416,9432,9436,9440,9462,9463,9490,9552,9557,9560,9597,9598,9599,9627,9628,9644,9665,9671,9683,9708,9729,9738,9739,9740,9741,9756,9758,9763,9793,9794,9800,9801,9847,9848,9859,9860,9884,9903,9905,9906,9914,9919,9926,9950,9985,9987,9991,10041,10077,10087,10089,10093,10094,10096,10105,10106,10126,10131,10225,10318,10319,10320,10321,10380,10398,2,8,9,4674,4675,4693,4735,4736,4738,4761,4763,4764,4774,4819,4821,4869,4999,5000,5017,5041,5098,5099,5105,5106,5108,5110,5119,5122,5123,5131,5144,5145,5151,5172,5173,5191,5196,5197,5198,5199,5203,5211,5214,5221,5276,5281,5282,5287,5293,5324,5334,5339,5349,5366,5368,5375,5376,5378,5389,5407,5409,5410,5417,5424,5425,5437,5438,5439,5440,5442,5443,5448,5449,5450,5451,5482,5483,5484,5492,5493,5494,5495,5539,5544,5546,5582,5584,5585,5587,5588,5590,5591,5593,5602,5607,5609,5610,5611,5613,5615,5616,5617,5618,5619,5620,5629,5639,5642,5653,5669,5670,5673,5683,5686,5687,5688,5715,5725,5740,5741,5750,5751,5753,5755,5760,5795,5800,5802,5861,5897,5898,5912,5918,5921,5922,5923,5924,5943,5947,5948,5957,5979,6011,6030,6031,6035,6036,6038,6063,6064,6065,6069,6070,6086,6097,6098,6131,6132,6136,6157,6160,6163,6185,6186,6214,6217,6226,6235,6237,6246,6250,6258,6259,6260,6261,6293,6310,6363,6400,6402,6403,6426,6427,6434,6438,6439,6442,6456,6472,6493,6494,6499,6510,6513,6526,6546,6552,6554,6569,6570,6573,6574,6576,6578,6579,6580,6582,6584,6590,6596,6597,6599,6600,6606,6608,6650,6656,6671,6675,6676,6677,6711,6716,6718,6723,6724,6734,6738,6752,6775,6776,6778,6779,6790,6796,6815,6818,6839,6859,6872,6873,6874,6880,6894,6913,6915,6917,6919,6924,6930,6932,6946,6951,6952,6989,6990,6991,7005,7006,7008,7009,7028,7030,7045,7073,7097,7108,7110,7112,7114,7115,7147,7148,7149,7153,7154,7161,7162,7164,7166,7188,7197,7198,7209,7219,7259,7269,7275,7282,7293,7298,7300,7307,7316,7329,7346,7367,7369,7388,7442,7443,7444,7446,7448,7452,7453,7458,7522,7550,7565,7581,7612,7616,7637,7662,7680,7683,7684,7694,7714,7716,7718,7720,7721,7722,7723,7724,7749,7775,7776,7808,7810,7811,7812,7818,7839,7856,7861,7867,7869,7877,7889,7890,7892,7913,7921,7942,8012,8013,8014,8061,8067,8068,8092,8093,8110,8111,8112,8169,8170,8199,8229,8238,8251,8266,8295,8299,8305,8317,8335,8340,8362,8375,8408,8437,8451,8471,8474,8500,8525,8583,8584,8587,8588,8656,8692,8693,8694,8695,8723,8756,8786,8794,8795,8836,8857,8902,8918,8964,8967,8982,8989,9031,9074,9075,9093,9094,9108,9225,9230,9234,9254,9265,9288,9290,9293,9299,9301,9302,9313,9314,9333,9339,9350,9358,9402,9420,9475,9476,9482,9521,9544,9549,9589,9603,9607,9608,9612,9613,9626,9649,9664,9673,9674,9676,9678,9707,9828,9829,9879,9880,9920,9955,10066,10135,10291,10310,10315,3,2783,2784,2785,2786,2788,2789,2792,2795,2796,2797,2803,2804,2805,2810,2811,2812,2813,2814,2815,2816,2819,2822,2823,2824,2827,2829,2833,2836,2837,2839,2840,2841,2846,2847,2848,2849,2850,2854,2858,2859,2860,2861,2892,2893,2895,2896,2898,2899,2901,2902,2903,2906,2907,2908,2910,2911,2912,2918,2920,2921,2928,2930,2931,2932,2945,2946,2947,2949,2954,2956,2957,2959,2960,2964,2965,2969,2979,2980,2981,3009,3032,5365,5406,5555,5556,5557,5640,5739,5769,5803,5819,5821,5827,5889,5890,5891,5892,5910,5945,6081,6120,6130,6154,6189,6227,6379,6384,6424,6425,6447,6449,6451,6458,6459,6460,6461,6462,6463,6464,6465,6547,6620,6621,6710,6747,6748,6787,6788,6931,6945,7018,7019,7025,7046,7079,7081,7085,7130,7151,7152,7170,7171,7208,7253,7254,7353,7421,7422,7423,7424,7441,7474,7527,7528,7536,7541,7542,7553,7584,7585,7586,7587,7730,7731,7733,7735,7741,7742,7816,7948,7953,7959,7960,7971,8009,8010,8087,8128,8182,8204,8205,8281,8376,8447,8448,8452,8486,8547,8548,8615,8632,8633,8634,8635,8790,9050,9051,9122,9136,9189,9190,9310,9343,9370,9404,9445,9647,9770,9915,10104,10160,10162,5980,6531,6532,6623,6643,6644,7070,7291,8708,8958,9147,9148,9216,9217,9399,9493,9494,9495,9496,9710,9979,9993,10366,10367,6605,8539,8540,9014,9032,9980,10365,4708,4740,4741,4744,4786,4790,4795,4836,4933,4950,4980,4981,5012,5016,5075,5078,5138,5270,5309,5310,5312,5319,5320,5344,5383,5414,5436,5571,5645,5646,5647,5708,5765,5766,5792,5796,5855,5857,5866,5872,5961])).
% 164.10/163.71 cnf(13582,plain,
% 164.10/163.71 (~P107(f316(f316(f225(a898),f2(a898)),f178(a898)))),
% 164.10/163.71 inference(scs_inference,[],[4097,12724,12746,12881,12883,12885,3681,11335,12392,12495,12498,12592,12634,12638,12646,12718,12848,12850,13292,13298,13303,13307,13313,13316,13340,13442,13447,3690,12462,12945,12947,3697,3417,12892,3418,12937,12939,12941,3384,12800,4608,4609,11977,4371,12911,3421,12928,3261,3317,12873,3318,12924,3319,3320,3321,12674,12932,4607,3739,4589,10414,10424,10437,10448,10451,10555,10558,10561,10663,10798,11108,11301,11304,11327,11330,11527,11628,11635,11649,11695,11698,11731,11746,11809,11868,11884,12178,12203,12217,12246,12252,12346,12458,12627,12688,12828,13362,13366,3502,3466,12951,3649,12150,3368,4595,10647,10747,11211,11313,13047,13386,3058,3060,3061,3064,3065,3067,3068,3071,3072,3073,3079,3081,3083,3084,3085,3086,3091,3092,3096,3101,3104,3105,3112,3118,3123,3126,3127,3131,3137,3141,3143,3156,3163,3164,3166,3176,3177,3180,3181,3182,3194,3201,3206,3207,3215,3219,3222,3223,3224,3225,3226,3230,4586,3244,3316,4587,3778,4003,11915,3294,11625,3429,3405,3408,10486,10489,10582,10585,10901,11640,11643,11757,11796,11801,11910,12364,12568,12778,12830,12832,12840,12863,12865,12867,12871,12890,12898,12922,13164,13331,13446,13451,13467,3379,12659,12663,12667,3385,3394,3898,4200,3362,13227,3513,12721,12803,3283,3284,3643,3989,11671,3501,3345,3280,3307,3758,3303,3499,4106,3997,3820,3292,3293,3271,3910,3327,3505,11058,11185,12459,12678,3378,4071,4602,10477,10644,11524,12619,12660,12664,4605,12631,3438,11997,12000,13261,13351,13412,13416,13420,13424,4029,4632,11237,11340,11580,11583,3413,3839,3435,3550,3764,3542,4611,3517,12836,12838,12879,3342,3343,10547,10877,4620,3602,3335,3262,3364,11661,4214,12649,12790,4073,11257,11396,11455,12603,12609,12735,12738,12768,4650,11160,11409,11518,11544,11588,11594,12545,4651,11290,11412,11521,4652,11415,11466,4653,11473,4654,3363,3641,12501,12542,12630,3804,3590,4485,4486,3625,3662,4600,11654,3782,3741,3784,3953,3708,13147,13151,13155,13159,13169,3999,12492,3627,3881,3514,10566,10686,10764,10837,10840,10880,10980,11227,11845,12094,12174,12239,12317,12355,12430,12433,12772,13030,13069,13072,13130,13365,13370,3891,11901,3431,3526,11730,12012,13466,3703,4626,10454,10457,10483,10607,10782,10988,11003,11118,11566,11664,11844,12065,12070,12293,12296,12376,12548,12653,12976,12995,12998,13022,13073,13243,13248,13268,13273,4638,11773,11804,11841,11848,11881,13082,13086,3878,3650,3651,13001,13004,13007,13010,13040,13043,13394,13398,13402,4021,3615,13395,3616,13399,3474,3476,3450,4623,3341,4597,3830,4136,3634,4639,4207,11541,3763,3486,12018,12021,12466,12572,12749,4630,10442,10445,10615,10710,10729,10736,10759,10767,10770,10787,10973,11214,11435,11724,11818,11966,12083,12086,4176,4135,12167,12516,4082,11055,12349,12526,12677,13415,4125,13419,4130,11263,12389,12465,12525,12571,13264,4131,3805,11852,12177,12324,12397,12449,4164,3822,10610,10707,11260,11345,11428,11492,12345,12411,12683,12745,12765,12775,13234,13297,13302,13322,13343,4642,11006,11420,12529,13310,3447,10575,10673,10823,10887,10962,11009,11012,11043,11066,11102,11140,11179,11969,12015,12147,12202,12220,12223,12226,12229,12404,12418,12421,12424,12427,12509,12575,12694,12741,13023,13046,13122,13133,13138,13141,13144,13177,13188,13201,13254,13279,13282,3448,10602,10658,10892,10983,11105,11749,12048,12051,12062,12153,12164,12183,12188,12232,12255,12272,13037,13181,13204,13244,13249,13269,13274,3449,12436,12439,3522,12381,13102,13148,13152,13156,13160,13170,13174,4622,10494,10523,11027,11069,11078,11929,11950,12121,12124,12127,12130,12216,12235,12238,12251,12305,12308,12311,12314,12477,12480,12578,12581,12687,12727,12812,3597,10752,10843,11113,11157,11399,11402,11481,11563,11734,11980,12626,12815,13226,4634,11036,11149,11170,11173,11240,11243,11254,11361,11369,11383,11423,11440,11449,11489,11530,11535,11538,11557,11560,11597,11602,11605,11608,11611,11851,11994,12027,12299,12302,12336,12382,12407,12554,12600,12606,12706,12709,12731,12789,12795,12806,12822,13101,13114,13117,13215,13335,13354,13357,13391,13411,13445,3507,10874,10904,10913,10916,10919,11510,12728,12742,13083,13087,13090,3546,13379,13437,3539,3957,3896,10526,11904,11932,13064,4631,10474,10862,10865,11364,11380,11867,11920,11954,11981,12080,12109,12112,12115,12118,12375,13285,3468,10907,11063,11133,11933,12079,12277,12485,12510,13111,13382,13465,3920,12024,13017,4255,3656,4628,3931,3965,4614,4617,4618,3424,3428,4616,4615,4378,4422,3753,11897,4349,11756,4644,10773,10776,4649,11246,11249,11443,11554,11571,11617,4039,11614,11953,11957,12637,12645,12734,13230,13291,3886,11176,11182,11200,12199,12329,12410,12702,3737,11318,11446,12442,12551,12561,12642,12697,12705,12819,13237,4212,3888,10910,11279,11452,11486,11497,12641,12691,13327,3598,3704,10826,10829,10922,11089,3706,4647,11898,4643,12985,4648,10666,10779,12504,12513,12557,12759,4310,11046,12522,12537,12560,4218,3919,12825,3864,3865,4645,10499,10502,10868,10871,11770,11958,12771,4646,11878,11963,3889,10832,11095,12093,13369,4150,4661,4687,4742,4746,4770,4785,4792,4794,4830,4835,4864,4870,4956,4982,4983,4998,5024,5052,5053,5076,5077,5091,5095,5120,5126,5142,5146,5147,5148,5153,5154,5177,5202,5204,5205,5215,5220,5226,5262,5263,5271,5279,5283,5285,5299,5302,5308,5313,5314,5327,5333,5336,5337,5341,5369,5384,5393,5395,5396,5399,5400,5401,5411,5413,5419,5420,5421,5427,5431,5432,5433,5441,5445,5446,5452,5465,5473,5486,5488,5496,5498,5499,5502,5506,5533,5547,5548,5563,5575,5597,5603,5627,5628,5631,5650,5658,5659,5664,5665,5675,5677,5690,5694,5703,5704,5706,5707,5723,5728,5737,5738,5749,5756,5770,5774,5777,5783,5784,5785,5788,5793,5829,5830,5833,5835,5837,5839,5840,5841,5843,5845,5847,5852,5859,5874,5888,5895,5896,5908,5919,5920,5927,5931,5933,5938,5946,5984,5998,6007,6010,6019,6023,6024,6025,6026,6027,6032,6037,6047,6053,6071,6075,6084,6113,6129,6155,6172,6173,6176,6191,6193,6195,6197,6212,6213,6216,6218,6221,6222,6239,6247,6248,6249,6251,6253,6290,6291,6296,6299,6305,6309,6343,6345,6347,6349,6359,6361,6364,6370,6372,6377,6380,6388,6396,6398,6399,6406,6429,6430,6431,6432,6433,6435,6441,6446,6480,6481,6484,6485,6486,6488,6489,6490,6491,6498,6533,6534,6543,6564,6565,6589,6591,6603,6604,6610,6640,6642,6657,6698,6700,6701,6757,6780,6823,6838,6846,6855,6856,6857,6858,6878,6879,6886,6898,6901,6903,6905,6906,6907,6909,6923,6934,6935,6936,6949,7003,7014,7016,7038,7039,7075,7082,7089,7119,7150,7206,7235,7292,7313,7322,7325,7385,7395,7457,7459,7473,7482,7483,7484,7501,7505,7507,7554,7564,7567,7582,7629,7631,7634,7678,7679,7697,7767,7785,7809,7833,7845,7859,7870,7881,7882,7908,7910,7912,7923,7963,7974,7999,8026,8058,8089,8123,8162,8178,8180,8196,8197,8263,8274,8339,8363,8383,8410,8449,8450,8467,8507,8509,8511,8517,8532,8536,8551,8572,8580,8582,8592,8597,8601,8602,8603,8604,8605,8606,8625,8639,8640,8658,8660,8664,8665,8666,8667,8668,8688,8689,8690,8700,8713,8716,8728,8733,8735,8737,8738,8739,8746,8747,8753,8761,8764,8781,8782,8784,8792,8793,8801,8820,8833,8837,8858,8880,8881,8884,8885,8891,8900,8901,8924,8935,8945,8946,8947,8950,8973,8974,8985,9034,9040,9046,9048,9064,9067,9078,9079,9080,9091,9155,9186,9187,9188,9203,9220,9228,9256,9257,9326,9359,9365,9375,9376,9377,9386,9416,9432,9436,9440,9462,9463,9490,9552,9557,9560,9597,9598,9599,9627,9628,9644,9665,9671,9683,9708,9729,9738,9739,9740,9741,9756,9758,9763,9793,9794,9800,9801,9847,9848,9859,9860,9884,9903,9905,9906,9914,9919,9926,9950,9985,9987,9991,10041,10077,10087,10089,10093,10094,10096,10105,10106,10126,10131,10225,10318,10319,10320,10321,10380,10398,2,8,9,4674,4675,4693,4735,4736,4738,4761,4763,4764,4774,4819,4821,4869,4999,5000,5017,5041,5098,5099,5105,5106,5108,5110,5119,5122,5123,5131,5144,5145,5151,5172,5173,5191,5196,5197,5198,5199,5203,5211,5214,5221,5276,5281,5282,5287,5293,5324,5334,5339,5349,5366,5368,5375,5376,5378,5389,5407,5409,5410,5417,5424,5425,5437,5438,5439,5440,5442,5443,5448,5449,5450,5451,5482,5483,5484,5492,5493,5494,5495,5539,5544,5546,5582,5584,5585,5587,5588,5590,5591,5593,5602,5607,5609,5610,5611,5613,5615,5616,5617,5618,5619,5620,5629,5639,5642,5653,5669,5670,5673,5683,5686,5687,5688,5715,5725,5740,5741,5750,5751,5753,5755,5760,5795,5800,5802,5861,5897,5898,5912,5918,5921,5922,5923,5924,5943,5947,5948,5957,5979,6011,6030,6031,6035,6036,6038,6063,6064,6065,6069,6070,6086,6097,6098,6131,6132,6136,6157,6160,6163,6185,6186,6214,6217,6226,6235,6237,6246,6250,6258,6259,6260,6261,6293,6310,6363,6400,6402,6403,6426,6427,6434,6438,6439,6442,6456,6472,6493,6494,6499,6510,6513,6526,6546,6552,6554,6569,6570,6573,6574,6576,6578,6579,6580,6582,6584,6590,6596,6597,6599,6600,6606,6608,6650,6656,6671,6675,6676,6677,6711,6716,6718,6723,6724,6734,6738,6752,6775,6776,6778,6779,6790,6796,6815,6818,6839,6859,6872,6873,6874,6880,6894,6913,6915,6917,6919,6924,6930,6932,6946,6951,6952,6989,6990,6991,7005,7006,7008,7009,7028,7030,7045,7073,7097,7108,7110,7112,7114,7115,7147,7148,7149,7153,7154,7161,7162,7164,7166,7188,7197,7198,7209,7219,7259,7269,7275,7282,7293,7298,7300,7307,7316,7329,7346,7367,7369,7388,7442,7443,7444,7446,7448,7452,7453,7458,7522,7550,7565,7581,7612,7616,7637,7662,7680,7683,7684,7694,7714,7716,7718,7720,7721,7722,7723,7724,7749,7775,7776,7808,7810,7811,7812,7818,7839,7856,7861,7867,7869,7877,7889,7890,7892,7913,7921,7942,8012,8013,8014,8061,8067,8068,8092,8093,8110,8111,8112,8169,8170,8199,8229,8238,8251,8266,8295,8299,8305,8317,8335,8340,8362,8375,8408,8437,8451,8471,8474,8500,8525,8583,8584,8587,8588,8656,8692,8693,8694,8695,8723,8756,8786,8794,8795,8836,8857,8902,8918,8964,8967,8982,8989,9031,9074,9075,9093,9094,9108,9225,9230,9234,9254,9265,9288,9290,9293,9299,9301,9302,9313,9314,9333,9339,9350,9358,9402,9420,9475,9476,9482,9521,9544,9549,9589,9603,9607,9608,9612,9613,9626,9649,9664,9673,9674,9676,9678,9707,9828,9829,9879,9880,9920,9955,10066,10135,10291,10310,10315,3,2783,2784,2785,2786,2788,2789,2792,2795,2796,2797,2803,2804,2805,2810,2811,2812,2813,2814,2815,2816,2819,2822,2823,2824,2827,2829,2833,2836,2837,2839,2840,2841,2846,2847,2848,2849,2850,2854,2858,2859,2860,2861,2892,2893,2895,2896,2898,2899,2901,2902,2903,2906,2907,2908,2910,2911,2912,2918,2920,2921,2928,2930,2931,2932,2945,2946,2947,2949,2954,2956,2957,2959,2960,2964,2965,2969,2979,2980,2981,3009,3032,5365,5406,5555,5556,5557,5640,5739,5769,5803,5819,5821,5827,5889,5890,5891,5892,5910,5945,6081,6120,6130,6154,6189,6227,6379,6384,6424,6425,6447,6449,6451,6458,6459,6460,6461,6462,6463,6464,6465,6547,6620,6621,6710,6747,6748,6787,6788,6931,6945,7018,7019,7025,7046,7079,7081,7085,7130,7151,7152,7170,7171,7208,7253,7254,7353,7421,7422,7423,7424,7441,7474,7527,7528,7536,7541,7542,7553,7584,7585,7586,7587,7730,7731,7733,7735,7741,7742,7816,7948,7953,7959,7960,7971,8009,8010,8087,8128,8182,8204,8205,8281,8376,8447,8448,8452,8486,8547,8548,8615,8632,8633,8634,8635,8790,9050,9051,9122,9136,9189,9190,9310,9343,9370,9404,9445,9647,9770,9915,10104,10160,10162,5980,6531,6532,6623,6643,6644,7070,7291,8708,8958,9147,9148,9216,9217,9399,9493,9494,9495,9496,9710,9979,9993,10366,10367,6605,8539,8540,9014,9032,9980,10365,4708,4740,4741,4744,4786,4790,4795,4836,4933,4950,4980,4981,5012,5016,5075,5078,5138,5270,5309,5310,5312,5319,5320,5344,5383,5414,5436,5571,5645,5646,5647,5708,5765,5766,5792,5796,5855,5857,5866,5872,5961,6045,6152,6196,6254,6366,6492,6654,6867,7125])).
% 164.10/163.71 cnf(13600,plain,
% 164.10/163.71 (~P22(x136001,x136002,f316(f66(x136003,x136002,x136001,f182(x136004,x136005)),f316(f141(x136006),x136007)),f231(f905(x136001,a895)))),
% 164.10/163.71 inference(scs_inference,[],[4097,12724,12746,12881,12883,12885,3681,11335,12392,12495,12498,12592,12634,12638,12646,12718,12848,12850,13292,13298,13303,13307,13313,13316,13340,13442,13447,3690,12462,12945,12947,3697,3417,12892,3418,12937,12939,12941,3384,12800,4608,4609,11977,4371,12911,3421,12928,3261,3317,12873,3318,12924,3319,3320,3321,12674,12932,4607,3739,4589,10414,10424,10437,10448,10451,10555,10558,10561,10663,10798,11108,11301,11304,11327,11330,11527,11628,11635,11649,11695,11698,11731,11746,11809,11868,11884,12178,12203,12217,12246,12252,12346,12458,12627,12688,12828,13362,13366,3502,3466,12951,3649,12150,3368,4595,10647,10747,11211,11313,13047,13386,3058,3060,3061,3064,3065,3067,3068,3071,3072,3073,3079,3081,3083,3084,3085,3086,3091,3092,3096,3101,3104,3105,3112,3118,3123,3126,3127,3131,3137,3141,3143,3156,3163,3164,3166,3176,3177,3180,3181,3182,3194,3201,3206,3207,3215,3219,3222,3223,3224,3225,3226,3230,4586,3244,3316,4587,3778,4003,11915,3294,11625,3429,3405,3408,10486,10489,10582,10585,10901,11640,11643,11757,11796,11801,11910,12364,12568,12778,12830,12832,12840,12863,12865,12867,12871,12890,12898,12922,13164,13331,13446,13451,13467,3379,12659,12663,12667,3385,3394,3898,4200,3362,13227,3513,12721,12803,3283,3284,3643,3989,11671,3501,3345,3280,3307,3758,3303,3499,4106,3997,3820,3292,3293,3271,3910,3327,3505,11058,11185,12459,12678,3378,4071,4602,10477,10644,11524,12619,12660,12664,4605,12631,3438,11997,12000,13261,13351,13412,13416,13420,13424,4029,4632,11237,11340,11580,11583,3413,3839,3435,3550,3764,3542,4611,3517,12836,12838,12879,3342,3343,10547,10877,4620,3602,3335,3262,3364,11661,4214,12649,12790,4073,11257,11396,11455,12603,12609,12735,12738,12768,4650,11160,11409,11518,11544,11588,11594,12545,4651,11290,11412,11521,4652,11415,11466,4653,11473,4654,3363,3641,12501,12542,12630,3804,3590,4485,4486,3625,3662,4600,11654,3782,3741,3784,3953,3708,13147,13151,13155,13159,13169,3999,12492,3627,3881,3514,10566,10686,10764,10837,10840,10880,10980,11227,11845,12094,12174,12239,12317,12355,12430,12433,12772,13030,13069,13072,13130,13365,13370,3891,11901,3431,3526,11730,12012,13466,3703,4626,10454,10457,10483,10607,10782,10988,11003,11118,11566,11664,11844,12065,12070,12293,12296,12376,12548,12653,12976,12995,12998,13022,13073,13243,13248,13268,13273,4638,11773,11804,11841,11848,11881,13082,13086,3878,3650,3651,13001,13004,13007,13010,13040,13043,13394,13398,13402,4021,3615,13395,3616,13399,3474,3476,3450,4623,3341,4597,3830,4136,3634,4639,4207,11541,3763,3486,12018,12021,12466,12572,12749,4630,10442,10445,10615,10710,10729,10736,10759,10767,10770,10787,10973,11214,11435,11724,11818,11966,12083,12086,4176,4135,12167,12516,4082,11055,12349,12526,12677,13415,4125,13419,4130,11263,12389,12465,12525,12571,13264,4131,3805,11852,12177,12324,12397,12449,4164,3822,10610,10707,11260,11345,11428,11492,12345,12411,12683,12745,12765,12775,13234,13297,13302,13322,13343,4642,11006,11420,12529,13310,3447,10575,10673,10823,10887,10962,11009,11012,11043,11066,11102,11140,11179,11969,12015,12147,12202,12220,12223,12226,12229,12404,12418,12421,12424,12427,12509,12575,12694,12741,13023,13046,13122,13133,13138,13141,13144,13177,13188,13201,13254,13279,13282,3448,10602,10658,10892,10983,11105,11749,12048,12051,12062,12153,12164,12183,12188,12232,12255,12272,13037,13181,13204,13244,13249,13269,13274,3449,12436,12439,3522,12381,13102,13148,13152,13156,13160,13170,13174,4622,10494,10523,11027,11069,11078,11929,11950,12121,12124,12127,12130,12216,12235,12238,12251,12305,12308,12311,12314,12477,12480,12578,12581,12687,12727,12812,3597,10752,10843,11113,11157,11399,11402,11481,11563,11734,11980,12626,12815,13226,4634,11036,11149,11170,11173,11240,11243,11254,11361,11369,11383,11423,11440,11449,11489,11530,11535,11538,11557,11560,11597,11602,11605,11608,11611,11851,11994,12027,12299,12302,12336,12382,12407,12554,12600,12606,12706,12709,12731,12789,12795,12806,12822,13101,13114,13117,13215,13335,13354,13357,13391,13411,13445,3507,10874,10904,10913,10916,10919,11510,12728,12742,13083,13087,13090,3546,13379,13437,3539,3957,3896,10526,11904,11932,13064,4631,10474,10862,10865,11364,11380,11867,11920,11954,11981,12080,12109,12112,12115,12118,12375,13285,3468,10907,11063,11133,11933,12079,12277,12485,12510,13111,13382,13465,3920,12024,13017,4255,3656,4628,3931,3965,4614,4617,4618,3424,3428,4616,4615,4378,4422,3753,11897,4349,11756,4644,10773,10776,4649,11246,11249,11443,11554,11571,11617,4039,11614,11953,11957,12637,12645,12734,13230,13291,3886,11176,11182,11200,12199,12329,12410,12702,3737,11318,11446,12442,12551,12561,12642,12697,12705,12819,13237,4212,3888,10910,11279,11452,11486,11497,12641,12691,13327,3598,3704,10826,10829,10922,11089,3706,4647,11898,4643,12985,4648,10666,10779,12504,12513,12557,12759,4310,11046,12522,12537,12560,4218,3919,12825,3864,3865,4645,10499,10502,10868,10871,11770,11958,12771,4646,11878,11963,3889,10832,11095,12093,13369,4150,4661,4687,4742,4746,4770,4785,4792,4794,4830,4835,4864,4870,4956,4982,4983,4998,5024,5052,5053,5076,5077,5091,5095,5120,5126,5142,5146,5147,5148,5153,5154,5177,5202,5204,5205,5215,5220,5226,5262,5263,5271,5279,5283,5285,5299,5302,5308,5313,5314,5327,5333,5336,5337,5341,5369,5384,5393,5395,5396,5399,5400,5401,5411,5413,5419,5420,5421,5427,5431,5432,5433,5441,5445,5446,5452,5465,5473,5486,5488,5496,5498,5499,5502,5506,5533,5547,5548,5563,5575,5597,5603,5627,5628,5631,5650,5658,5659,5664,5665,5675,5677,5690,5694,5703,5704,5706,5707,5723,5728,5737,5738,5749,5756,5770,5774,5777,5783,5784,5785,5788,5793,5829,5830,5833,5835,5837,5839,5840,5841,5843,5845,5847,5852,5859,5874,5888,5895,5896,5908,5919,5920,5927,5931,5933,5938,5946,5984,5998,6007,6010,6019,6023,6024,6025,6026,6027,6032,6037,6047,6053,6071,6075,6084,6113,6129,6155,6172,6173,6176,6191,6193,6195,6197,6212,6213,6216,6218,6221,6222,6239,6247,6248,6249,6251,6253,6290,6291,6296,6299,6305,6309,6343,6345,6347,6349,6359,6361,6364,6370,6372,6377,6380,6388,6396,6398,6399,6406,6429,6430,6431,6432,6433,6435,6441,6446,6480,6481,6484,6485,6486,6488,6489,6490,6491,6498,6533,6534,6543,6564,6565,6589,6591,6603,6604,6610,6640,6642,6657,6698,6700,6701,6757,6780,6823,6838,6846,6855,6856,6857,6858,6878,6879,6886,6898,6901,6903,6905,6906,6907,6909,6923,6934,6935,6936,6949,7003,7014,7016,7038,7039,7075,7082,7089,7119,7150,7206,7235,7292,7313,7322,7325,7385,7395,7457,7459,7473,7482,7483,7484,7501,7505,7507,7554,7564,7567,7582,7629,7631,7634,7678,7679,7697,7767,7785,7809,7833,7845,7859,7870,7881,7882,7908,7910,7912,7923,7963,7974,7999,8026,8058,8089,8123,8162,8178,8180,8196,8197,8263,8274,8339,8363,8383,8410,8449,8450,8467,8507,8509,8511,8517,8532,8536,8551,8572,8580,8582,8592,8597,8601,8602,8603,8604,8605,8606,8625,8639,8640,8658,8660,8664,8665,8666,8667,8668,8688,8689,8690,8700,8713,8716,8728,8733,8735,8737,8738,8739,8746,8747,8753,8761,8764,8781,8782,8784,8792,8793,8801,8820,8833,8837,8858,8880,8881,8884,8885,8891,8900,8901,8924,8935,8945,8946,8947,8950,8973,8974,8985,9034,9040,9046,9048,9064,9067,9078,9079,9080,9091,9155,9186,9187,9188,9203,9220,9228,9256,9257,9326,9359,9365,9375,9376,9377,9386,9416,9432,9436,9440,9462,9463,9490,9552,9557,9560,9597,9598,9599,9627,9628,9644,9665,9671,9683,9708,9729,9738,9739,9740,9741,9756,9758,9763,9793,9794,9800,9801,9847,9848,9859,9860,9884,9903,9905,9906,9914,9919,9926,9950,9985,9987,9991,10041,10077,10087,10089,10093,10094,10096,10105,10106,10126,10131,10225,10318,10319,10320,10321,10380,10398,2,8,9,4674,4675,4693,4735,4736,4738,4761,4763,4764,4774,4819,4821,4869,4999,5000,5017,5041,5098,5099,5105,5106,5108,5110,5119,5122,5123,5131,5144,5145,5151,5172,5173,5191,5196,5197,5198,5199,5203,5211,5214,5221,5276,5281,5282,5287,5293,5324,5334,5339,5349,5366,5368,5375,5376,5378,5389,5407,5409,5410,5417,5424,5425,5437,5438,5439,5440,5442,5443,5448,5449,5450,5451,5482,5483,5484,5492,5493,5494,5495,5539,5544,5546,5582,5584,5585,5587,5588,5590,5591,5593,5602,5607,5609,5610,5611,5613,5615,5616,5617,5618,5619,5620,5629,5639,5642,5653,5669,5670,5673,5683,5686,5687,5688,5715,5725,5740,5741,5750,5751,5753,5755,5760,5795,5800,5802,5861,5897,5898,5912,5918,5921,5922,5923,5924,5943,5947,5948,5957,5979,6011,6030,6031,6035,6036,6038,6063,6064,6065,6069,6070,6086,6097,6098,6131,6132,6136,6157,6160,6163,6185,6186,6214,6217,6226,6235,6237,6246,6250,6258,6259,6260,6261,6293,6310,6363,6400,6402,6403,6426,6427,6434,6438,6439,6442,6456,6472,6493,6494,6499,6510,6513,6526,6546,6552,6554,6569,6570,6573,6574,6576,6578,6579,6580,6582,6584,6590,6596,6597,6599,6600,6606,6608,6650,6656,6671,6675,6676,6677,6711,6716,6718,6723,6724,6734,6738,6752,6775,6776,6778,6779,6790,6796,6815,6818,6839,6859,6872,6873,6874,6880,6894,6913,6915,6917,6919,6924,6930,6932,6946,6951,6952,6989,6990,6991,7005,7006,7008,7009,7028,7030,7045,7073,7097,7108,7110,7112,7114,7115,7147,7148,7149,7153,7154,7161,7162,7164,7166,7188,7197,7198,7209,7219,7259,7269,7275,7282,7293,7298,7300,7307,7316,7329,7346,7367,7369,7388,7442,7443,7444,7446,7448,7452,7453,7458,7522,7550,7565,7581,7612,7616,7637,7662,7680,7683,7684,7694,7714,7716,7718,7720,7721,7722,7723,7724,7749,7775,7776,7808,7810,7811,7812,7818,7839,7856,7861,7867,7869,7877,7889,7890,7892,7913,7921,7942,8012,8013,8014,8061,8067,8068,8092,8093,8110,8111,8112,8169,8170,8199,8229,8238,8251,8266,8295,8299,8305,8317,8335,8340,8362,8375,8408,8437,8451,8471,8474,8500,8525,8583,8584,8587,8588,8656,8692,8693,8694,8695,8723,8756,8786,8794,8795,8836,8857,8902,8918,8964,8967,8982,8989,9031,9074,9075,9093,9094,9108,9225,9230,9234,9254,9265,9288,9290,9293,9299,9301,9302,9313,9314,9333,9339,9350,9358,9402,9420,9475,9476,9482,9521,9544,9549,9589,9603,9607,9608,9612,9613,9626,9649,9664,9673,9674,9676,9678,9707,9828,9829,9879,9880,9920,9955,10066,10135,10291,10310,10315,3,2783,2784,2785,2786,2788,2789,2792,2795,2796,2797,2803,2804,2805,2810,2811,2812,2813,2814,2815,2816,2819,2822,2823,2824,2827,2829,2833,2836,2837,2839,2840,2841,2846,2847,2848,2849,2850,2854,2858,2859,2860,2861,2892,2893,2895,2896,2898,2899,2901,2902,2903,2906,2907,2908,2910,2911,2912,2918,2920,2921,2928,2930,2931,2932,2945,2946,2947,2949,2954,2956,2957,2959,2960,2964,2965,2969,2979,2980,2981,3009,3032,5365,5406,5555,5556,5557,5640,5739,5769,5803,5819,5821,5827,5889,5890,5891,5892,5910,5945,6081,6120,6130,6154,6189,6227,6379,6384,6424,6425,6447,6449,6451,6458,6459,6460,6461,6462,6463,6464,6465,6547,6620,6621,6710,6747,6748,6787,6788,6931,6945,7018,7019,7025,7046,7079,7081,7085,7130,7151,7152,7170,7171,7208,7253,7254,7353,7421,7422,7423,7424,7441,7474,7527,7528,7536,7541,7542,7553,7584,7585,7586,7587,7730,7731,7733,7735,7741,7742,7816,7948,7953,7959,7960,7971,8009,8010,8087,8128,8182,8204,8205,8281,8376,8447,8448,8452,8486,8547,8548,8615,8632,8633,8634,8635,8790,9050,9051,9122,9136,9189,9190,9310,9343,9370,9404,9445,9647,9770,9915,10104,10160,10162,5980,6531,6532,6623,6643,6644,7070,7291,8708,8958,9147,9148,9216,9217,9399,9493,9494,9495,9496,9710,9979,9993,10366,10367,6605,8539,8540,9014,9032,9980,10365,4708,4740,4741,4744,4786,4790,4795,4836,4933,4950,4980,4981,5012,5016,5075,5078,5138,5270,5309,5310,5312,5319,5320,5344,5383,5414,5436,5571,5645,5646,5647,5708,5765,5766,5792,5796,5855,5857,5866,5872,5961,6045,6152,6196,6254,6366,6492,6654,6867,7125,7296,7529,7591,7928,7929,8179,8185,8883,9012])).
% 164.10/163.71 cnf(13718,plain,
% 164.10/163.71 (~E(x137181,f316(a102,x137181))),
% 164.10/163.71 inference(rename_variables,[],[10509])).
% 164.10/163.71 cnf(13721,plain,
% 164.10/163.71 (~P107(f316(f316(f318(x137211),x137212),f178(f905(x137211,a895))))),
% 164.10/163.71 inference(rename_variables,[],[4634])).
% 164.10/163.71 cnf(13727,plain,
% 164.10/163.71 (~P107(f316(f316(f318(x137271),x137272),f316(f299(x137273,x137271,x137274),f178(f905(x137273,a895)))))),
% 164.10/163.71 inference(rename_variables,[],[11422])).
% 164.10/163.71 cnf(13734,plain,
% 164.10/163.71 (~E(x137341,f316(a102,x137341))),
% 164.10/163.71 inference(rename_variables,[],[10509])).
% 164.10/163.71 cnf(13737,plain,
% 164.10/163.71 (~P107(f316(f316(f318(f904(x137371,x137371)),x137372),f252(x137371,f178(f905(x137371,a895)))))),
% 164.10/163.71 inference(rename_variables,[],[11169])).
% 164.10/163.71 cnf(13755,plain,
% 164.10/163.71 (P107(f316(f316(f224(a1),x137551),x137551))),
% 164.10/163.71 inference(rename_variables,[],[3448])).
% 164.10/163.71 cnf(13762,plain,
% 164.10/163.71 (P107(f316(f316(f224(a898),x137621),f316(f316(f75(a898),x137621),x137621)))),
% 164.10/163.71 inference(rename_variables,[],[3704])).
% 164.10/163.71 cnf(13765,plain,
% 164.10/163.71 (P107(f316(f316(f224(f905(x137651,a895)),f316(f162(x137651),f166(x137651,x137652,x137653))),f316(f162(x137651),x137652)))),
% 164.10/163.71 inference(rename_variables,[],[4130])).
% 164.10/163.71 cnf(13771,plain,
% 164.10/163.71 (E(f316(f316(f124(x137711),x137712),f103(x137711)),x137712)),
% 164.10/163.71 inference(rename_variables,[],[3379])).
% 164.10/163.71 cnf(13780,plain,
% 164.10/163.71 (P107(f316(f316(f224(a898),x137801),f316(f316(f74(a898),x137801),x137802)))),
% 164.10/163.71 inference(rename_variables,[],[3706])).
% 164.10/163.71 cnf(13794,plain,
% 164.10/163.71 (~P107(f316(f316(f318(a898),x137941),f316(f271(a898),f2(a898))))),
% 164.10/163.71 inference(rename_variables,[],[12045])).
% 164.10/163.71 cnf(13799,plain,
% 164.10/163.71 (~E(f316(f316(f141(x137991),x137992),x137993),x137993)),
% 164.10/163.71 inference(rename_variables,[],[4602])).
% 164.10/163.71 cnf(13802,plain,
% 164.10/163.71 (E(f316(f273(x138021,x138021),f252(x138021,x138022)),x138022)),
% 164.10/163.71 inference(rename_variables,[],[3408])).
% 164.10/163.71 cnf(13805,plain,
% 164.10/163.71 (E(f316(x138051,f316(f85(x138052,x138053,f231(f905(x138052,a895)),x138051),f316(x138051,x138054))),f316(x138051,x138054))),
% 164.10/163.71 inference(rename_variables,[],[11315])).
% 164.10/163.71 cnf(13810,plain,
% 164.10/163.71 (P107(f316(f316(f276(a898),x138101),x138101))),
% 164.10/163.71 inference(rename_variables,[],[3449])).
% 164.10/163.71 cnf(13819,plain,
% 164.10/163.71 (~E(f316(f316(f141(x138191),x138192),x138193),f103(x138191))),
% 164.10/163.71 inference(rename_variables,[],[4605])).
% 164.10/163.71 cnf(13826,plain,
% 164.10/163.71 (P107(f316(f316(f224(f905(x138261,a895)),x138262),x138262))),
% 164.10/163.71 inference(rename_variables,[],[3737])).
% 164.10/163.71 cnf(13829,plain,
% 164.10/163.71 (P107(f316(f316(f276(a898),x138291),x138291))),
% 164.10/163.71 inference(rename_variables,[],[3449])).
% 164.10/163.71 cnf(13836,plain,
% 164.14/163.71 (~P107(f316(f55(x138361,x138362,f178(f905(x138361,a895))),x138363))),
% 164.14/163.71 inference(rename_variables,[],[4644])).
% 164.14/163.71 cnf(13841,plain,
% 164.14/163.71 (E(f316(x138411,f316(f85(x138412,x138413,f231(f905(x138412,a895)),x138411),f316(x138411,x138414))),f316(x138411,x138414))),
% 164.14/163.71 inference(rename_variables,[],[11315])).
% 164.14/163.71 cnf(13844,plain,
% 164.14/163.71 (~P107(f316(f316(f224(a898),f316(f316(f75(a898),f316(a102,x138441)),f316(a102,x138441))),x138441))),
% 164.14/163.71 inference(rename_variables,[],[10921])).
% 164.14/163.71 cnf(13869,plain,
% 164.14/163.71 (P107(f316(f316(f224(a898),x138691),f316(f316(f74(a898),x138691),x138692)))),
% 164.14/163.71 inference(rename_variables,[],[3706])).
% 164.14/163.71 cnf(13884,plain,
% 164.14/163.71 (~E(f316(f316(f141(x138841),x138842),x138843),x138843)),
% 164.14/163.71 inference(rename_variables,[],[4602])).
% 164.14/163.71 cnf(13891,plain,
% 164.14/163.71 (~P107(f316(f316(f318(x138911),x138912),f316(f300(x138911,x138913,x138914),f178(f905(x138913,a895)))))),
% 164.14/163.71 inference(rename_variables,[],[11172])).
% 164.14/163.71 cnf(13894,plain,
% 164.14/163.71 (~P107(f316(f316(f318(x138941),x138942),f178(f905(x138941,a895))))),
% 164.14/163.71 inference(rename_variables,[],[4634])).
% 164.14/163.71 cnf(13897,plain,
% 164.14/163.71 (~P107(f316(f316(f318(a898),x138971),f316(f271(a898),f2(a898))))),
% 164.14/163.71 inference(rename_variables,[],[12045])).
% 164.14/163.71 cnf(13900,plain,
% 164.14/163.71 (~P107(f316(f316(f318(f904(x139001,x139001)),x139002),f252(x139001,f178(f905(x139001,a895)))))),
% 164.14/163.71 inference(rename_variables,[],[11169])).
% 164.14/163.71 cnf(13905,plain,
% 164.14/163.71 (P107(f316(f316(f224(f905(x139051,a895)),f316(f162(x139051),f166(x139051,x139052,x139053))),f316(f162(x139051),x139052)))),
% 164.14/163.71 inference(rename_variables,[],[4130])).
% 164.14/163.71 cnf(13910,plain,
% 164.14/163.71 (~P107(f316(f316(f318(f904(x139101,x139101)),x139102),f252(x139101,f178(f905(x139101,a895)))))),
% 164.14/163.71 inference(rename_variables,[],[11169])).
% 164.14/163.71 cnf(13917,plain,
% 164.14/163.71 (P107(f316(f316(f318(x139171),f316(x139172,x139173)),f316(f299(x139174,x139171,x139172),f231(f905(x139174,a895)))))),
% 164.14/163.71 inference(rename_variables,[],[4039])).
% 164.14/163.71 cnf(13922,plain,
% 164.14/163.71 (~P107(f316(f316(f318(x139221),x139222),f178(f905(x139221,a895))))),
% 164.14/163.71 inference(rename_variables,[],[4634])).
% 164.14/163.71 cnf(13929,plain,
% 164.14/163.71 (E(f316(f316(f124(x139291),f103(x139291)),x139292),x139292)),
% 164.14/163.71 inference(rename_variables,[],[3403])).
% 164.14/163.71 cnf(13935,plain,
% 164.14/163.71 (~P107(f316(f316(f318(x139351),x139352),f178(f905(x139351,a895))))),
% 164.14/163.71 inference(rename_variables,[],[4634])).
% 164.14/163.71 cnf(13938,plain,
% 164.14/163.71 (~P107(f316(f316(f318(a898),x139381),f316(f271(a898),f2(a898))))),
% 164.14/163.71 inference(rename_variables,[],[12045])).
% 164.14/163.71 cnf(13945,plain,
% 164.14/163.71 (P107(f316(f316(f224(a898),f2(a898)),x139451))),
% 164.14/163.71 inference(rename_variables,[],[3468])).
% 164.14/163.71 cnf(13948,plain,
% 164.14/163.71 (~P107(f316(f55(x139481,x139482,f178(f905(x139481,a895))),x139483))),
% 164.14/163.71 inference(rename_variables,[],[4644])).
% 164.14/163.71 cnf(13953,plain,
% 164.14/163.71 (P107(f316(f316(f225(a1),f316(f316(f23(a1),x139531),f72(a1))),x139531))),
% 164.14/163.71 inference(rename_variables,[],[10982])).
% 164.14/163.71 cnf(13958,plain,
% 164.14/163.71 (~P107(f316(f316(f318(x139581),x139582),f178(f905(x139581,a895))))),
% 164.14/163.71 inference(rename_variables,[],[4634])).
% 164.14/163.71 cnf(13961,plain,
% 164.14/163.71 (~E(f316(f316(f141(x139611),x139612),x139613),x139613)),
% 164.14/163.71 inference(rename_variables,[],[4602])).
% 164.14/163.71 cnf(13964,plain,
% 164.14/163.71 (~P107(f316(f316(f318(a898),x139641),f316(f271(a898),f2(a898))))),
% 164.14/163.71 inference(rename_variables,[],[12045])).
% 164.14/163.71 cnf(13969,plain,
% 164.14/163.71 (P107(f316(f316(f225(a898),x139691),f316(f316(f75(a898),f316(a102,x139691)),f316(a102,x139691))))),
% 164.14/163.71 inference(rename_variables,[],[10828])).
% 164.14/163.71 cnf(13972,plain,
% 164.14/163.71 (P107(f316(f316(f224(f905(x139721,a895)),x139722),x139722))),
% 164.14/163.71 inference(rename_variables,[],[3737])).
% 164.14/163.71 cnf(13975,plain,
% 164.14/163.71 (~P107(f316(f316(f318(f904(x139751,x139751)),x139752),f252(x139751,f178(f905(x139751,a895)))))),
% 164.14/163.71 inference(rename_variables,[],[11169])).
% 164.14/163.71 cnf(13978,plain,
% 164.14/163.71 (P107(f316(f316(f224(f905(x139781,a895)),x139782),f316(f316(f100(f905(x139781,a895)),x139783),f231(f905(x139781,a895)))))),
% 164.14/163.71 inference(rename_variables,[],[11427])).
% 164.14/163.71 cnf(13981,plain,
% 164.14/163.71 (~E(f316(f316(f141(x139811),x139812),x139813),x139813)),
% 164.14/163.71 inference(rename_variables,[],[4602])).
% 164.14/163.71 cnf(13990,plain,
% 164.14/163.71 (P107(f316(f316(f224(f905(x139901,a895)),f316(f162(x139901),f166(x139901,x139902,x139903))),f316(f162(x139901),x139902)))),
% 164.14/163.71 inference(rename_variables,[],[4130])).
% 164.14/163.71 cnf(13995,plain,
% 164.14/163.71 (P107(f316(f316(f224(a898),x139951),f316(f316(f75(a898),x139951),x139951)))),
% 164.14/163.71 inference(rename_variables,[],[3704])).
% 164.14/163.71 cnf(14004,plain,
% 164.14/163.71 (~P107(f316(f316(f318(x140041),x140042),f316(f300(x140041,x140043,x140044),f178(f905(x140043,a895)))))),
% 164.14/163.71 inference(rename_variables,[],[11172])).
% 164.14/163.71 cnf(14009,plain,
% 164.14/163.71 (P107(f316(f316(f224(f905(x140091,a895)),f316(f162(x140091),f166(x140091,x140092,x140093))),f316(f162(x140091),x140092)))),
% 164.14/163.71 inference(rename_variables,[],[4130])).
% 164.14/163.72 cnf(14014,plain,
% 164.14/163.72 (~P107(f316(f316(f225(a898),x140141),x140141))),
% 164.14/163.72 inference(rename_variables,[],[4622])).
% 164.14/163.72 cnf(14017,plain,
% 164.14/163.72 (P107(f316(f316(f224(a898),f2(a898)),x140171))),
% 164.14/163.72 inference(rename_variables,[],[3468])).
% 164.14/163.72 cnf(14042,plain,
% 164.14/163.72 (~P107(f316(f316(f318(f904(x140421,x140421)),x140422),f252(x140421,f178(f905(x140421,a895)))))),
% 164.14/163.72 inference(rename_variables,[],[11169])).
% 164.14/163.72 cnf(14050,plain,
% 164.14/163.72 (E(f316(f299(x140501,x140501,f25(x140501)),x140502),x140502)),
% 164.14/163.72 inference(rename_variables,[],[3506])).
% 164.14/163.72 cnf(14055,plain,
% 164.14/163.72 (~P107(f316(f316(f318(x140551),x140552),f178(f905(x140551,a895))))),
% 164.14/163.72 inference(rename_variables,[],[4634])).
% 164.14/163.72 cnf(14069,plain,
% 164.14/163.72 (~P107(f316(f316(f318(a898),x140691),f316(f271(a898),f2(a898))))),
% 164.14/163.72 inference(rename_variables,[],[12045])).
% 164.14/163.72 cnf(14072,plain,
% 164.14/163.72 (P107(f316(f316(f224(f905(x140721,a895)),f316(f162(x140721),f166(x140721,x140722,x140723))),f316(f162(x140721),x140722)))),
% 164.14/163.72 inference(rename_variables,[],[4130])).
% 164.14/163.72 cnf(14075,plain,
% 164.14/163.72 (~P107(f316(f316(f318(f904(x140751,x140751)),x140752),f252(x140751,f178(f905(x140751,a895)))))),
% 164.14/163.72 inference(rename_variables,[],[11169])).
% 164.14/163.72 cnf(14078,plain,
% 164.14/163.72 (~P107(f316(f316(f318(x140781),x140782),f178(f905(x140781,a895))))),
% 164.14/163.72 inference(rename_variables,[],[4634])).
% 164.14/163.72 cnf(14081,plain,
% 164.14/163.72 (~E(f316(f316(f141(x140811),x140812),x140813),x140813)),
% 164.14/163.72 inference(rename_variables,[],[4602])).
% 164.14/163.72 cnf(14098,plain,
% 164.14/163.72 (E(f316(f273(x140981,x140981),f252(x140981,x140982)),x140982)),
% 164.14/163.72 inference(rename_variables,[],[3408])).
% 164.14/163.72 cnf(14103,plain,
% 164.14/163.72 (E(f316(x141031,f316(f85(x141032,x141033,f231(f905(x141032,a895)),x141031),f316(x141031,x141034))),f316(x141031,x141034))),
% 164.14/163.72 inference(rename_variables,[],[11315])).
% 164.14/163.72 cnf(14113,plain,
% 164.14/163.72 (P107(f316(f316(f224(f905(x141131,a895)),x141132),x141132))),
% 164.14/163.72 inference(rename_variables,[],[3737])).
% 164.14/163.72 cnf(14116,plain,
% 164.14/163.72 (P107(f316(f316(f224(f905(x141161,a895)),f316(f274(x141162,x141161,x141163),f178(f905(x141162,a895)))),x141164))),
% 164.14/163.72 inference(rename_variables,[],[11496])).
% 164.14/163.72 cnf(14121,plain,
% 164.14/163.72 (P107(f316(f316(f224(f905(x141211,a895)),x141212),x141212))),
% 164.14/163.72 inference(rename_variables,[],[3737])).
% 164.14/163.72 cnf(14124,plain,
% 164.14/163.72 (~P107(f316(f316(f225(a898),x141241),x141241))),
% 164.14/163.72 inference(rename_variables,[],[4622])).
% 164.14/163.72 cnf(14129,plain,
% 164.14/163.72 (P107(f316(f316(f224(a898),x141291),f316(f316(f75(a898),x141291),x141291)))),
% 164.14/163.72 inference(rename_variables,[],[3704])).
% 164.14/163.72 cnf(14132,plain,
% 164.14/163.72 (P107(f316(f316(f224(f905(x141321,a895)),f316(f162(x141321),f166(x141321,x141322,x141323))),f316(f162(x141321),x141322)))),
% 164.14/163.72 inference(rename_variables,[],[4130])).
% 164.14/163.72 cnf(14141,plain,
% 164.14/163.72 (~E(f316(f316(f141(x141411),x141412),x141413),x141413)),
% 164.14/163.72 inference(rename_variables,[],[4602])).
% 164.14/163.72 cnf(14144,plain,
% 164.14/163.72 (~P107(f316(f316(f225(a898),x141441),x141441))),
% 164.14/163.72 inference(rename_variables,[],[4622])).
% 164.14/163.72 cnf(14147,plain,
% 164.14/163.72 (~P107(f316(f316(f318(f904(x141471,x141471)),x141472),f252(x141471,f178(f905(x141471,a895)))))),
% 164.14/163.72 inference(rename_variables,[],[11169])).
% 164.14/163.72 cnf(14166,plain,
% 164.14/163.72 (P107(f316(f316(f224(a898),f2(a898)),x141661))),
% 164.14/163.72 inference(rename_variables,[],[3468])).
% 164.14/163.72 cnf(14169,plain,
% 164.14/163.72 (P107(f316(f316(f224(f905(x141691,a895)),f316(f162(x141691),f166(x141691,x141692,x141693))),f316(f162(x141691),x141692)))),
% 164.14/163.72 inference(rename_variables,[],[4130])).
% 164.14/163.72 cnf(14174,plain,
% 164.14/163.72 (E(f316(x141741,f316(f85(x141742,x141743,f231(f905(x141742,a895)),x141741),f316(x141741,x141744))),f316(x141741,x141744))),
% 164.14/163.72 inference(rename_variables,[],[11315])).
% 164.14/163.72 cnf(14177,plain,
% 164.14/163.72 (P107(f316(f316(f225(a1),f316(f316(f23(a1),x141771),f72(a1))),x141771))),
% 164.14/163.72 inference(rename_variables,[],[10982])).
% 164.14/163.72 cnf(14184,plain,
% 164.14/163.72 (~E(f316(f316(f91(a898),f316(a102,x141841)),x141841),f316(a102,x141841))),
% 164.14/163.72 inference(rename_variables,[],[11789])).
% 164.14/163.72 cnf(14190,plain,
% 164.14/163.72 (~P33(x141901,x141902,x141903,f316(f316(f144(x141904,x141901),x141905),f316(a102,f103(x141904))),f103(x141902))),
% 164.14/163.72 inference(rename_variables,[],[11457])).
% 164.14/163.72 cnf(14202,plain,
% 164.14/163.72 (~P107(f316(f316(f318(f904(x142021,x142021)),x142022),f252(x142021,f178(f905(x142021,a895)))))),
% 164.14/163.72 inference(rename_variables,[],[11169])).
% 164.14/163.72 cnf(14205,plain,
% 164.14/163.72 (~E(f316(f316(f141(x142051),x142052),x142053),x142053)),
% 164.14/163.72 inference(rename_variables,[],[4602])).
% 164.14/163.72 cnf(14216,plain,
% 164.14/163.72 (~E(f316(f316(f141(x142161),x142162),x142163),f103(x142161))),
% 164.14/163.72 inference(rename_variables,[],[4605])).
% 164.14/163.72 cnf(14224,plain,
% 164.14/163.72 (~E(f316(f316(f91(a898),f316(a102,x142241)),x142241),f316(a102,x142241))),
% 164.14/163.72 inference(rename_variables,[],[11789])).
% 164.14/163.72 cnf(14227,plain,
% 164.14/163.72 (~P107(f316(f316(f318(f904(x142271,x142271)),x142272),f252(x142271,f178(f905(x142271,a895)))))),
% 164.14/163.72 inference(rename_variables,[],[11169])).
% 164.14/163.72 cnf(14230,plain,
% 164.14/163.72 (P107(f316(f316(f318(x142301),f316(x142302,x142303)),f316(f299(x142304,x142301,x142302),f231(f905(x142304,a895)))))),
% 164.14/163.72 inference(rename_variables,[],[4039])).
% 164.14/163.72 cnf(14233,plain,
% 164.14/163.72 (~E(f316(f316(f298(x142331),x142332),x142333),f178(f905(x142331,a895)))),
% 164.14/163.72 inference(rename_variables,[],[4611])).
% 164.14/163.72 cnf(14239,plain,
% 164.14/163.72 (~P107(f316(f316(f318(f904(f899(x142391),f899(x142391))),f316(f316(f241(f899(x142391),f899(x142391)),f103(x142391)),x142392)),f147(x142391,x142393)))),
% 164.14/163.72 inference(rename_variables,[],[4654])).
% 164.14/163.72 cnf(14254,plain,
% 164.14/163.72 (~P107(f316(f316(f225(a898),f316(f316(f74(a898),x142541),x142542)),x142542))),
% 164.14/163.72 inference(rename_variables,[],[4645])).
% 164.14/163.72 cnf(14257,plain,
% 164.14/163.72 (~E(f316(f316(f141(x142571),x142572),x142573),x142573)),
% 164.14/163.72 inference(rename_variables,[],[4602])).
% 164.14/163.72 cnf(14266,plain,
% 164.14/163.72 (P107(f316(f316(f224(a898),x142661),f316(f316(f74(a898),x142661),x142662)))),
% 164.14/163.72 inference(rename_variables,[],[3706])).
% 164.14/163.72 cnf(14273,plain,
% 164.14/163.72 (P107(f316(f316(f224(a898),f2(a898)),x142731))),
% 164.14/163.72 inference(rename_variables,[],[3468])).
% 164.14/163.72 cnf(14287,plain,
% 164.14/163.72 (~P107(f316(f316(f318(x142871),x142872),f178(f905(x142871,a895))))),
% 164.14/163.72 inference(rename_variables,[],[4634])).
% 164.14/163.72 cnf(14292,plain,
% 164.14/163.72 (E(f316(x142921,f316(f85(x142922,x142923,f231(f905(x142922,a895)),x142921),f316(x142921,x142924))),f316(x142921,x142924))),
% 164.14/163.72 inference(rename_variables,[],[11315])).
% 164.14/163.72 cnf(14301,plain,
% 164.14/163.72 (~E(f316(f316(f141(x143011),x143012),x143013),f103(x143011))),
% 164.14/163.72 inference(rename_variables,[],[4605])).
% 164.14/163.72 cnf(14304,plain,
% 164.14/163.72 (P107(f316(f316(f276(a898),f316(a102,f2(a898))),x143041))),
% 164.14/163.72 inference(rename_variables,[],[3598])).
% 164.14/163.72 cnf(14309,plain,
% 164.14/163.72 (~P107(f316(f316(f318(x143091),x143092),f316(f300(x143091,x143093,x143094),f178(f905(x143093,a895)))))),
% 164.14/163.72 inference(rename_variables,[],[11172])).
% 164.14/163.72 cnf(14314,plain,
% 164.14/163.72 (~P107(f316(f316(f225(a898),f316(f316(f74(a898),x143141),x143142)),x143141))),
% 164.14/163.72 inference(rename_variables,[],[4646])).
% 164.14/163.72 cnf(14319,plain,
% 164.14/163.72 (E(f316(x143191,f316(f85(x143192,x143193,f231(f905(x143192,a895)),x143191),f316(x143191,x143194))),f316(x143191,x143194))),
% 164.14/163.72 inference(rename_variables,[],[11315])).
% 164.14/163.72 cnf(14322,plain,
% 164.14/163.72 (~P107(f316(f316(f318(x143221),x143222),f316(f300(x143221,x143223,x143224),f178(f905(x143223,a895)))))),
% 164.14/163.72 inference(rename_variables,[],[11172])).
% 164.14/163.72 cnf(14332,plain,
% 164.14/163.72 (P107(f316(f316(f224(a898),x143321),f316(f316(f75(a898),x143321),x143321)))),
% 164.14/163.72 inference(rename_variables,[],[3704])).
% 164.14/163.72 cnf(14335,plain,
% 164.14/163.72 (E(f316(f273(x143351,x143351),f252(x143351,x143352)),x143352)),
% 164.14/163.72 inference(rename_variables,[],[3408])).
% 164.14/163.72 cnf(14344,plain,
% 164.14/163.72 (P107(f316(f316(f318(x143441),f316(x143442,x143443)),f316(f299(x143444,x143441,x143442),f231(f905(x143444,a895)))))),
% 164.14/163.72 inference(rename_variables,[],[4039])).
% 164.14/163.72 cnf(14347,plain,
% 164.14/163.72 (~P107(f316(f316(f224(a898),f316(f316(f75(a898),f316(a102,x143471)),f316(a102,x143471))),x143471))),
% 164.14/163.72 inference(rename_variables,[],[10921])).
% 164.14/163.72 cnf(14350,plain,
% 164.14/163.72 (E(f316(f273(x143501,x143501),f252(x143501,x143502)),x143502)),
% 164.14/163.72 inference(rename_variables,[],[3408])).
% 164.14/163.72 cnf(14355,plain,
% 164.14/163.72 (P107(f316(f316(f276(a898),x143551),x143551))),
% 164.14/163.72 inference(rename_variables,[],[3449])).
% 164.14/163.72 cnf(14376,plain,
% 164.14/163.72 (~P107(f316(f316(f225(a898),x143761),x143761))),
% 164.14/163.72 inference(rename_variables,[],[4622])).
% 164.14/163.72 cnf(14393,plain,
% 164.14/163.72 (P107(f316(f316(f276(a898),x143931),x143931))),
% 164.14/163.72 inference(rename_variables,[],[3449])).
% 164.14/163.72 cnf(14410,plain,
% 164.14/163.72 (~P107(f316(f316(f318(x144101),x144102),f316(f299(x144103,x144101,x144104),f178(f905(x144103,a895)))))),
% 164.14/163.72 inference(rename_variables,[],[11422])).
% 164.14/163.72 cnf(14413,plain,
% 164.14/163.72 (P107(f316(f316(f224(a898),x144131),f316(f316(f74(a898),x144131),x144132)))),
% 164.14/163.72 inference(rename_variables,[],[3706])).
% 164.14/163.72 cnf(14422,plain,
% 164.14/163.72 (P107(f316(f316(f318(f904(x144221,x144221)),f316(f316(f241(x144221,x144221),x144222),x144222)),f296(x144221,x144223)))),
% 164.14/163.72 inference(rename_variables,[],[4073])).
% 164.14/163.72 cnf(14425,plain,
% 164.14/163.72 (~P107(f316(f316(f318(x144251),x144252),f178(f905(x144251,a895))))),
% 164.14/163.72 inference(rename_variables,[],[4634])).
% 164.14/163.72 cnf(14428,plain,
% 164.14/163.72 (~E(f316(f316(f141(x144281),x144282),x144283),x144283)),
% 164.14/163.72 inference(rename_variables,[],[4602])).
% 164.14/163.72 cnf(14434,plain,
% 164.14/163.72 (~P107(f316(f316(f318(f904(x144341,x144341)),x144342),f252(x144341,f178(f905(x144341,a895)))))),
% 164.14/163.72 inference(rename_variables,[],[11169])).
% 164.14/163.72 cnf(14437,plain,
% 164.14/163.72 (~P107(f316(f55(x144371,x144372,f178(f905(x144371,a895))),x144373))),
% 164.14/163.72 inference(rename_variables,[],[4644])).
% 164.14/163.72 cnf(14446,plain,
% 164.14/163.72 (~P107(f316(f55(x144461,x144462,f178(f905(x144461,a895))),x144463))),
% 164.14/163.72 inference(rename_variables,[],[4644])).
% 164.14/163.72 cnf(14453,plain,
% 164.14/163.72 (E(f316(f316(f124(x144531),x144532),f103(x144531)),x144532)),
% 164.14/163.72 inference(rename_variables,[],[3379])).
% 164.14/163.72 cnf(14461,plain,
% 164.14/163.72 (P107(f316(f316(f224(f905(x144611,a895)),f316(f299(x144612,x144611,x144613),f316(f300(x144612,x144611,x144613),x144614))),x144614))),
% 164.14/163.72 inference(rename_variables,[],[4310])).
% 164.14/163.72 cnf(14466,plain,
% 164.14/163.72 (~P107(f316(f316(f178(f905(x144661,f905(x144662,a895))),x144663),x144664))),
% 164.14/163.72 inference(rename_variables,[],[4648])).
% 164.14/163.72 cnf(14478,plain,
% 164.14/163.72 (P33(x144781,x144782,x144783,f316(f316(f144(x144784,x144781),x144785),f104(x144784,f103(x144784))),f103(x144782))),
% 164.14/163.72 inference(rename_variables,[],[11461])).
% 164.14/163.72 cnf(14481,plain,
% 164.14/163.72 (~P107(f316(f316(f318(f904(x144811,x144811)),x144812),f252(x144811,f178(f905(x144811,a895)))))),
% 164.14/163.72 inference(rename_variables,[],[11169])).
% 164.14/163.72 cnf(14487,plain,
% 164.14/163.72 (~P107(f316(f316(f318(a898),x144871),f316(f271(a898),f2(a898))))),
% 164.14/163.72 inference(rename_variables,[],[12045])).
% 164.14/163.72 cnf(14497,plain,
% 164.14/163.72 (E(f316(x144971,f316(f85(x144972,x144973,f231(f905(x144972,a895)),x144971),f316(x144971,x144974))),f316(x144971,x144974))),
% 164.14/163.72 inference(rename_variables,[],[11315])).
% 164.14/163.72 cnf(14502,plain,
% 164.14/163.72 (~P107(f316(f316(f318(a898),x145021),f316(f271(a898),f2(a898))))),
% 164.14/163.72 inference(rename_variables,[],[12045])).
% 164.14/163.72 cnf(14513,plain,
% 164.14/163.72 (P107(f316(f316(f318(x145131),f316(x145132,x145133)),f316(f299(x145134,x145131,x145132),f231(f905(x145134,a895)))))),
% 164.14/163.72 inference(rename_variables,[],[4039])).
% 164.14/163.72 cnf(14516,plain,
% 164.14/163.72 (~P33(x145161,x145162,x145163,f316(f316(f144(x145164,x145161),x145165),f316(a102,f103(x145164))),f103(x145162))),
% 164.14/163.72 inference(rename_variables,[],[11457])).
% 164.14/163.72 cnf(14522,plain,
% 164.14/163.72 (P107(f316(f316(f225(a898),x145221),f316(a102,f316(f316(f74(a898),x145222),x145221))))),
% 164.14/163.72 inference(rename_variables,[],[3889])).
% 164.14/163.72 cnf(14525,plain,
% 164.14/163.72 (~P107(f316(f55(x145251,x145252,f178(f905(x145251,a895))),x145253))),
% 164.14/163.72 inference(rename_variables,[],[4644])).
% 164.14/163.72 cnf(14545,plain,
% 164.14/163.72 (~E(f316(f316(f141(x145451),x145452),x145453),x145453)),
% 164.14/163.72 inference(rename_variables,[],[4602])).
% 164.14/163.72 cnf(14558,plain,
% 164.14/163.72 (E(f316(f316(f124(x145581),x145582),f103(x145581)),x145582)),
% 164.14/163.72 inference(rename_variables,[],[3379])).
% 164.14/163.72 cnf(14561,plain,
% 164.14/163.72 (P107(f316(f316(f225(a1),f316(f316(f23(a1),x145611),f72(a1))),x145611))),
% 164.14/163.72 inference(rename_variables,[],[10982])).
% 164.14/163.72 cnf(14575,plain,
% 164.14/163.72 (~E(f316(a102,x145751),f2(a898))),
% 164.14/163.72 inference(rename_variables,[],[4595])).
% 164.14/163.72 cnf(14580,plain,
% 164.14/163.72 (P107(f316(f316(f224(f905(x145801,a895)),f316(f162(x145801),f166(x145801,x145802,x145803))),f316(f162(x145801),x145802)))),
% 164.14/163.72 inference(rename_variables,[],[4130])).
% 164.14/163.72 cnf(14583,plain,
% 164.14/163.72 (P107(f316(f316(f224(a898),x145831),f316(f316(f75(a898),x145831),x145831)))),
% 164.14/163.72 inference(rename_variables,[],[3704])).
% 164.14/163.72 cnf(14605,plain,
% 164.14/163.72 (~E(f316(f316(f141(x146051),x146052),x146053),x146053)),
% 164.14/163.72 inference(rename_variables,[],[4602])).
% 164.14/163.72 cnf(14614,plain,
% 164.14/163.72 (P107(f316(f316(f224(a898),x146141),f316(f316(f75(a898),x146141),x146141)))),
% 164.14/163.72 inference(rename_variables,[],[3704])).
% 164.14/163.72 cnf(14617,plain,
% 164.14/163.72 (~P107(f316(f316(f318(x146171),x146172),f178(f905(x146171,a895))))),
% 164.14/163.72 inference(rename_variables,[],[4634])).
% 164.14/163.72 cnf(14620,plain,
% 164.14/163.72 (E(f316(x146201,f316(f85(x146202,x146203,f231(f905(x146202,a895)),x146201),f316(x146201,x146204))),f316(x146201,x146204))),
% 164.14/163.72 inference(rename_variables,[],[11315])).
% 164.14/163.72 cnf(14685,plain,
% 164.14/163.72 (~P107(f316(f316(f178(f905(x146851,f905(x146852,a895))),x146853),x146854))),
% 164.14/163.72 inference(rename_variables,[],[4648])).
% 164.14/163.72 cnf(14710,plain,
% 164.14/163.72 (~P107(f316(f316(f318(a898),x147101),f316(f271(a898),f2(a898))))),
% 164.14/163.72 inference(rename_variables,[],[12045])).
% 164.14/163.72 cnf(14773,plain,
% 164.14/163.72 (~P107(f316(f316(f225(a898),x147731),x147731))),
% 164.14/163.72 inference(rename_variables,[],[4622])).
% 164.14/163.72 cnf(14776,plain,
% 164.14/163.72 (~E(f316(f316(f141(x147761),x147762),x147763),x147763)),
% 164.14/163.72 inference(rename_variables,[],[4602])).
% 164.14/163.72 cnf(14793,plain,
% 164.14/163.72 (~P107(f316(f316(f318(x147931),x147932),f178(f905(x147931,a895))))),
% 164.14/163.72 inference(rename_variables,[],[4634])).
% 164.14/163.72 cnf(14796,plain,
% 164.14/163.72 (~P107(f316(f316(f318(f904(f899(x147961),f899(x147961))),f316(f316(f241(f899(x147961),f899(x147961)),x147962),f103(x147961))),f135(x147961,x147963)))),
% 164.14/163.72 inference(rename_variables,[],[4650])).
% 164.14/163.72 cnf(14834,plain,
% 164.14/163.72 ($false),
% 164.14/163.72 inference(scs_inference,[],[3474,3878,3476,4176,4214,4021,3244,3449,13810,13829,14355,14393,4647,3450,4623,4073,14422,3522,4616,3539,3891,4650,14796,4039,13917,14230,14344,14513,4634,13721,13894,13922,13935,13958,14055,14078,14287,14425,14617,14793,4130,13765,13905,13990,14009,14072,14132,14169,14580,3919,4595,14575,4602,13799,13884,13961,13981,14081,14141,14205,14257,14428,14545,14605,14776,4605,13819,14216,14301,4611,14233,3431,3526,4207,4082,3448,13755,3896,3468,13945,14017,14166,14273,3886,3737,13826,13972,14113,14121,3888,3598,14304,3704,13762,13995,14129,14332,14583,14614,3706,13780,13869,14266,14413,4310,14461,3889,14522,3408,13802,14098,14335,14350,3379,13771,14453,14558,3293,3403,13929,4651,4652,4654,14239,4622,14014,14124,14144,14376,14773,4631,4644,13836,13948,14437,14446,14525,4643,4648,14466,14685,4645,14254,4646,14314,3649,11789,14184,14224,10509,13718,13734,13372,10797,10563,12231,12978,12106,12146,12754,11599,13550,10756,13456,12512,10828,13969,12152,13019,13458,10816,13032,11308,12756,12785,12792,11156,13470,11427,13978,10982,13953,14177,14561,4427,3807,12814,11151,11496,14116,11451,11315,13805,13841,14103,14174,14292,14319,14497,14620,13486,11838,13290,11153,10621,11585,11548,10926,10744,3506,14050,3479,3393,10496,11478,11218,13278,13281,13564,10931,13582,12455,12444,11465,12550,10470,13034,12045,13794,13897,13938,13964,14069,14487,14502,14710,10939,11379,11169,13737,13900,13910,13975,14042,14075,14147,14202,14227,14434,14481,12363,11172,13891,14004,14309,14322,11422,13727,14410,11499,10921,13844,14347,11026,12304,12307,12810,11616,11434,12717,13600,11457,14190,14516,11187,11461,14478,12621,11332,10909,11071,3106,11850,3990,2,5310,5677,6488,8837,9987,9416,8605,5796,6213,8801,9665,5337,7697,8747,8739,9905,5302,5675,5694,6176,6296,7016,8973,5147,5153,4746,5502,9741,7482,4933,7313,5333,5486,6936,8924,6492,8793,4661,4790,6361,6377,7038,8945,5665,6071,8532,9644,5421,6907,5777,5839,6372,4836,6345,5313,5369,6909,4708,8690,5866,9,5852,6129,10096,9359,7483,6923,7785,5857,6485,7629,8,4785,7501,6564,8603,9794,6867,9950,5548,8551,5547,8601,10087,5053,7634,5270,5052,5465,5738,5785,8625,8700,9860,6155,6857,6433,4982,5446,5919,6903,6879,8792,9859,9739,7484,9432,10321,8178,4870,5770,6701,8274,8974,5336,8162,5571,5603,6084,9376,5631,8511,5312,5888,6435,9040,5401,8640,7554,7325,7845,8450,8735,4792,5263,9926,5299,5830,8180,7082,10105,5383,6191,6642,7039,7459,9848,8639,10320,9186,5399,6197,9203,5126,6481,6906,7003,7507,8197,9557,4744,4786,5427,5895,8123,6431,5843,9708,6007,6032,6898,8716,5314,5384,5431,6113,7631,9847,7923,5148,6591,7678,6027,5078,6251,6359,7089,5341,5319,5920,6019,6396,8597,8606,9440,9991,6484,7505,6654,10318,5396,6299,7591,9599,8900,8753,6195,6430,10093,5647,7910,5146,9671,9758,10077,5488,6222,8820,5645,7292,8738,8884,9220,6490,6218,5262,6075,9756,4950,7881,8664,6935,9985,6823,5413,8592,8950,10380,5774,8507,6432,5788,7908,5204,5205,8339,5855,10041,5285,5436,5933,6886,8658,5833,5138,8410,8582,8985,4830,6533,5737,5845,4864,5320,7567,9326,9800,9187,5783,9365,5872,7529,6309,8467,6446,7296,6026,6216,8517,5414,7999,5829,9079,9738,5837,8602,6441,6855,7882,6498,9155,9597,4687,8263,9375,5908,6172,6901,8667,4983,5961,5344,5433,6173,8668,8764,9627,6024,9048,7974,8784,9377,9463,10398,6343,6949,8901,9219,9386,4742,6290,9228,5658,5452,5499,6838,8746,9914,9078,8572,8509,8580,5215,6388,6364,6604,6305,7833,5706,5749,5395,6489,5271,5432,5597,5859,8449,9793,5627,8733,9801,6858,8781,7235,6486,6700,9091,9462,8833,9560,6291,5659,5496,5400,8688,9067,6196,7859,10126,4741,5419,6253,6610,8883,7912,8185,9188,5154,5984,9457,5077,7473,9256,8196,9919,5327,6534,6221,9490,8891,9740,5646,5998,5784,6037,5445,6657,9628,9763,5703,5835,6543,6640,6878,7679,7767,6247,8058,8880,6248,8761,8947,6025,9436,5498,5874,6603,9683,10225,4835,4740,5690,9034,4794,5076,6047,8179,8689,5393,8089,4956,4998,6565,5506,7564,5309,6905,7014,5075,9729,5024,7963,10131,7322,8660,8728,10094,5411,9552,5896,6212,6589,7075,7119,8858,5927,7457,9884,4770]),
% 164.14/163.72 ['proof']).
% 164.14/163.72 % SZS output end Proof
% 164.14/163.72 % Total time :147.260000s
%------------------------------------------------------------------------------